[1]:
import time
from pathlib import Path

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import stats

from sklearn.pipeline import make_pipeline
from sklearn.impute import SimpleImputer
from sklearn.preprocessing import StandardScaler
from sklearn.ensemble import RandomForestRegressor

import fdfi
print(fdfi.__version__)
from fdfi.explainers import EOTExplainer

0.0.5

Load Data And Feature Groups

[2]:
DATA_DIR = Path("data")

DATASETS = {
    "sens50": {
        "file": DATA_DIR / "sens50_processed_dataset.csv",
        "target": "sens50",
    },
    "sens80": {
        "file": DATA_DIR / "sens80_processed_dataset.csv",
        "target": "sens80",
    },
    "ic50": {
        "file": DATA_DIR / "ic50.censored_processed_dataset.csv",
        "target": "ic50.censored",
    },
}

outcome = "sens50"

cfg = DATASETS[outcome]
filename = str(cfg["file"])

data = pd.read_csv(cfg["file"])
y = data[cfg["target"]].astype(int)
X = data.drop(columns=[cfg["target"]])

df_groups = pd.read_csv(DATA_DIR / "feature_group.csv", index_col=0).set_index("feature")
df_groups = pd.get_dummies(df_groups["group"]).groupby(df_groups.index).max().reindex(X.columns)

print(f"Dataset shape: {X.shape}")
print(f"Target variable: {outcome}")
print(f"Number of groups: {len(df_groups.columns)}")
print(f"Data loaded from: {filename}")

Dataset shape: (611, 832)
Target variable: sens50
Number of groups: 14
Data loaded from: data/sens50_processed_dataset.csv
[3]:
print("Data preparation...")

preprocess = make_pipeline(
    SimpleImputer(strategy="most_frequent"),
    StandardScaler(),
)

X_values = preprocess.fit_transform(X)
y_values = y.values.astype(float)

# Standardize y to N(0,1) to match DFI paper (scale-invariant for z-scores
# but ensures the DFI UEIF formula (y - ỹ)² - (y - ŷ)² works in the same
# unit system as the reference implementation)
y_scaler = StandardScaler()
y_values = y_scaler.fit_transform(y_values.reshape(-1, 1)).ravel()

print("Data preparation finished")
print(f"Feature matrix shape: {X_values.shape}")
print(f"y statistics: mean={y_values.mean():.3f}, std={y_values.std():.3f}")
print(f"Missing values - X: {np.isnan(X_values).sum()}, y: {np.isnan(y_values).sum()}")

Data preparation...
Data preparation finished
Feature matrix shape: (611, 832)
y statistics: mean=-0.000, std=1.000
Missing values - X: 0, y: 0
[4]:
rf = RandomForestRegressor(
    n_estimators=500,
    max_depth=None,
    min_samples_leaf=5,
    random_state=0,
    n_jobs=-1,
)
rf.fit(X_values, y_values)
model_fn = lambda X_: rf.predict(X_)
print(f"RandomForestRegressor fitted on full data")
print(f"Train R²: {rf.score(X_values, y_values):.3f}")

RandomForestRegressor fitted on full data
Train R²: 0.705

Fit EOT FDFI

[5]:
nsamples_main = 50

start_time = time.time()

fdfi_estimator = EOTExplainer(
    model=model_fn,
    data=X_values,
    nsamples=nsamples_main,
    epsilon=0.001,
    sampling_method="resample",
    random_state=0,
)

eot_results = fdfi_estimator(X_values, y=y_values)

dfi_time = time.time() - start_time

print(f"EOT FDFI completed in {dfi_time:.2f} seconds")
print(f"DFI scores shape: {eot_results['phi_X'].shape}")

np.sum(eot_results["phi_X"]), np.sum(eot_results["phi_Z"])

EOT FDFI completed in 434.01 seconds
DFI scores shape: (832,)
[5]:
(0.7396973904611802, 0.7396975752008004)

Individual Feature Inference With conf_int()

[6]:
ci_X = fdfi_estimator.conf_int(
    alpha=0.05,
    target="X",
    var_floor_c=0.1,
    var_floor_method="mixture",
    var_floor_quantile=0.95,
    margin=0.0,
    margin_method="auto",
    margin_quantile=0.95,
    alternative="two-sided",
    verbose=False,
)

ci_Z = fdfi_estimator.conf_int(
    alpha=0.05,
    target="Z",
    var_floor_c=0.1,
    var_floor_method="mixture",
    var_floor_quantile=0.95,
    margin=0.0,
    margin_method="auto",
    margin_quantile=0.95,
    alternative="two-sided",
    verbose=False,
)

Feature-Level Summary

[7]:
print("=== X-space feature summary ===")
_ = fdfi_estimator.summary(
    alpha=0.05,
    target="X",
    var_floor_c=0.1,
    var_floor_method="mixture",
    var_floor_quantile=0.95,
    margin=0.0,
    margin_method="auto",
    margin_quantile=0.95,
    alternative="two-sided",
)

print("\n=== Z-space feature summary ===")
_ = fdfi_estimator.summary(
    alpha=0.05,
    target="Z",
    var_floor_c=0.1,
    var_floor_method="mixture",
    var_floor_quantile=0.95,
    margin=0.0,
    margin_method="auto",
    margin_quantile=0.95,
    alternative="two-sided",
)
=== X-space feature summary ===
==============================================================================
Feature Importance Results
==============================================================================
Method: EOTExplainer
Number of units: 832
Significance level: 0.05
Alternative: two-sided
Margin method: mixture
Practical margin: 0.0028
------------------------------------------------------------------------------
        Feature   Estimate    Std Err   CI Lower   CI Upper    P-value   Sig
------------------------------------------------------------------------------
              0     0.0011     0.0018    -0.0026     0.0047     0.3314
              1     0.0013     0.0019    -0.0023     0.0050     0.4123
              2     0.0016     0.0018    -0.0020     0.0052     0.5027
              3     0.0003     0.0018    -0.0032     0.0039     0.1639
              4     0.0005     0.0018    -0.0031     0.0040     0.1935
              5     0.0007     0.0018    -0.0029     0.0042     0.2342
              6     0.0004     0.0018    -0.0031     0.0040     0.1831
              7     0.0004     0.0018    -0.0032     0.0039     0.1751
              8     0.0005     0.0018    -0.0031     0.0040     0.1914
              9     0.0006     0.0018    -0.0029     0.0042     0.2180
             10     0.0004     0.0018    -0.0031     0.0040     0.1829
             11     0.0010     0.0019    -0.0026     0.0046     0.3183
             12     0.0009     0.0018    -0.0027     0.0044     0.2734
             13     0.0017     0.0018    -0.0019     0.0053     0.5164
             14     0.0022     0.0018    -0.0014     0.0058     0.7177
             15     0.0014     0.0019    -0.0023     0.0050     0.4212
             16     0.0003     0.0018    -0.0033     0.0038     0.1569
             17     0.0012     0.0018    -0.0023     0.0048     0.3699
             18     0.0009     0.0018    -0.0027     0.0044     0.2722
             19     0.0028     0.0018    -0.0008     0.0064     0.9783
             20     0.0009     0.0018    -0.0027     0.0045     0.2861
             21     0.0005     0.0018    -0.0031     0.0040     0.1884
             22     0.0026     0.0018    -0.0010     0.0062     0.9030
             23     0.0003     0.0018    -0.0032     0.0039     0.1617
             24     0.0007     0.0018    -0.0029     0.0043     0.2367
             25     0.0003     0.0018    -0.0032     0.0039     0.1639
             26     0.0002     0.0018    -0.0033     0.0038     0.1486
             27     0.0005     0.0018    -0.0031     0.0040     0.1925
             28     0.0009     0.0018    -0.0026     0.0045     0.2895
             29     0.0006     0.0018    -0.0029     0.0042     0.2164
             30     0.0004     0.0018    -0.0031     0.0040     0.1771
             31     0.0009     0.0018    -0.0027     0.0044     0.2789
             32     0.0003     0.0018    -0.0032     0.0039     0.1643
             33     0.0007     0.0018    -0.0029     0.0043     0.2353
             34     0.0010     0.0018    -0.0025     0.0046     0.3114
             35     0.0005     0.0018    -0.0030     0.0041     0.1991
             36     0.0007     0.0018    -0.0028     0.0043     0.2418
             37     0.0008     0.0018    -0.0028     0.0044     0.2594
             38     0.0006     0.0018    -0.0029     0.0042     0.2163
             39     0.0004     0.0018    -0.0032     0.0039     0.1704
             40     0.0005     0.0018    -0.0031     0.0040     0.1862
             41     0.0003     0.0018    -0.0032     0.0039     0.1641
             42     0.0007     0.0018    -0.0029     0.0042     0.2333
             43     0.0003     0.0018    -0.0033     0.0038     0.1568
             44     0.0006     0.0018    -0.0030     0.0041     0.2126
             45     0.0009     0.0019    -0.0028     0.0045     0.2809
             46     0.0005     0.0018    -0.0031     0.0040     0.1882
             47     0.0004     0.0018    -0.0032     0.0039     0.1720
             48     0.0004     0.0018    -0.0032     0.0039     0.1749
             49     0.0008     0.0018    -0.0027     0.0044     0.2713
             50     0.0005     0.0018    -0.0031     0.0041     0.1961
             51     0.0005     0.0018    -0.0030     0.0041     0.1997
             52     0.0009     0.0018    -0.0027     0.0044     0.2728
             53     0.0004     0.0018    -0.0031     0.0039     0.1759
             54     0.0004     0.0018    -0.0031     0.0040     0.1844
             55     0.0004     0.0018    -0.0031     0.0040     0.1793
             56     0.0003     0.0018    -0.0033     0.0038     0.1573
             57     0.0010     0.0018    -0.0025     0.0046     0.3164
             58     0.0020     0.0018    -0.0016     0.0056     0.6612
             59     0.0007     0.0018    -0.0028     0.0043     0.2359
             60     0.0005     0.0018    -0.0030     0.0041     0.2028
             61     0.0008     0.0018    -0.0028     0.0043     0.2488
             62     0.0006     0.0018    -0.0030     0.0042     0.2164
             63     0.0004     0.0018    -0.0031     0.0040     0.1775
             64     0.0004     0.0018    -0.0031     0.0040     0.1784
             65     0.0010     0.0018    -0.0026     0.0047     0.3283
             66     0.0003     0.0018    -0.0032     0.0039     0.1646
             67     0.0004     0.0018    -0.0032     0.0039     0.1750
             68     0.0013     0.0018    -0.0024     0.0049     0.3907
             69     0.0004     0.0018    -0.0031     0.0040     0.1808
             70     0.0014     0.0018    -0.0022     0.0050     0.4354
             71     0.0005     0.0018    -0.0031     0.0040     0.1879
             72     0.0011     0.0018    -0.0025     0.0046     0.3263
             73     0.0012     0.0018    -0.0023     0.0048     0.3746
             74     0.0017     0.0021    -0.0025     0.0059     0.5913
             75     0.0005     0.0018    -0.0031     0.0040     0.1895
             76     0.0004     0.0018    -0.0031     0.0040     0.1807
             77     0.0007     0.0018    -0.0029     0.0043     0.2320
             78     0.0003     0.0018    -0.0032     0.0039     0.1628
             79     0.0018     0.0019    -0.0020     0.0056     0.5870
             80    -0.0002     0.0020    -0.0042     0.0037     0.1267
             81     0.0002     0.0018    -0.0033     0.0038     0.1509
             82     0.0004     0.0018    -0.0032     0.0039     0.1691
             83     0.0004     0.0018    -0.0031     0.0040     0.1810
             84     0.0003     0.0018    -0.0032     0.0039     0.1656
             85     0.0004     0.0018    -0.0031     0.0040     0.1778
             86     0.0007     0.0018    -0.0029     0.0042     0.2333
             87     0.0003     0.0018    -0.0032     0.0039     0.1674
             88     0.0018     0.0019    -0.0020     0.0055     0.5699
             89     0.0006     0.0018    -0.0030     0.0041     0.2134
             90     0.0005     0.0018    -0.0030     0.0041     0.1999
             91     0.0004     0.0018    -0.0032     0.0040     0.1883
             92     0.0003     0.0018    -0.0033     0.0038     0.1582
             93     0.0010     0.0018    -0.0026     0.0046     0.3058
             94     0.0008     0.0018    -0.0027     0.0044     0.2631
             95     0.0004     0.0018    -0.0031     0.0040     0.1818
             96     0.0004     0.0018    -0.0032     0.0039     0.1673
             97     0.0007     0.0018    -0.0029     0.0042     0.2327
             98     0.0007     0.0018    -0.0029     0.0042     0.2290
             99     0.0004     0.0018    -0.0031     0.0039     0.1761
            100     0.0005     0.0018    -0.0031     0.0040     0.1853
            101     0.0003     0.0018    -0.0033     0.0038     0.1529
            102     0.0012     0.0019    -0.0025     0.0048     0.3662
            103     0.0009     0.0018    -0.0027     0.0045     0.2856
            104     0.0004     0.0018    -0.0032     0.0039     0.1682
            105     0.0009     0.0018    -0.0026     0.0045     0.2905
            106     0.0003     0.0018    -0.0032     0.0039     0.1637
            107     0.0015     0.0018    -0.0021     0.0050     0.4473
            108     0.0012     0.0018    -0.0024     0.0047     0.3519
            109     0.0013     0.0018    -0.0023     0.0049     0.4122
            110     0.0015     0.0020    -0.0025     0.0054     0.4901
            111     0.0009     0.0018    -0.0027     0.0044     0.2783
            112     0.0010     0.0018    -0.0026     0.0045     0.2993
            113     0.0009     0.0018    -0.0027     0.0044     0.2764
            114     0.0003     0.0018    -0.0032     0.0039     0.1607
            115     0.0006     0.0018    -0.0030     0.0042     0.2150
            116     0.0003     0.0018    -0.0033     0.0038     0.1565
            117     0.0009     0.0018    -0.0027     0.0045     0.2880
            118     0.0021     0.0018    -0.0016     0.0057     0.6650
            119     0.0013     0.0020    -0.0025     0.0052     0.4327
            120     0.0006     0.0018    -0.0029     0.0042     0.2154
            121     0.0004     0.0018    -0.0032     0.0039     0.1710
            122     0.0010     0.0018    -0.0026     0.0045     0.3014
            123     0.0015     0.0019    -0.0022     0.0051     0.4681
            124     0.0004     0.0018    -0.0031     0.0040     0.1789
            125     0.0005     0.0018    -0.0030     0.0041     0.1960
            126     0.0003     0.0018    -0.0033     0.0038     0.1527
            127     0.0005     0.0018    -0.0030     0.0041     0.1987
            128     0.0003     0.0018    -0.0033     0.0038     0.1520
            129     0.0001     0.0018    -0.0034     0.0037     0.1343
            130     0.0004     0.0018    -0.0031     0.0040     0.1788
            131     0.0005     0.0018    -0.0030     0.0041     0.2006
            132     0.0005     0.0018    -0.0031     0.0040     0.1937
            133     0.0004     0.0018    -0.0031     0.0040     0.1779
            134     0.0005     0.0018    -0.0031     0.0041     0.1952
            135     0.0008     0.0018    -0.0028     0.0043     0.2481
            136     0.0014     0.0018    -0.0023     0.0050     0.4175
            137     0.0006     0.0018    -0.0030     0.0041     0.2120
            138     0.0004     0.0018    -0.0031     0.0040     0.1820
            139     0.0007     0.0018    -0.0029     0.0042     0.2329
            140     0.0003     0.0018    -0.0032     0.0039     0.1606
            141     0.0004     0.0018    -0.0031     0.0040     0.1812
            142     0.0005     0.0018    -0.0031     0.0040     0.1892
            143     0.0003     0.0018    -0.0033     0.0038     0.1581
            144     0.0003     0.0018    -0.0033     0.0038     0.1530
            145     0.0005     0.0018    -0.0031     0.0040     0.1919
            146     0.0003     0.0018    -0.0032     0.0039     0.1629
            147     0.0003     0.0018    -0.0032     0.0039     0.1629
            148     0.0003     0.0018    -0.0032     0.0039     0.1612
            149     0.0004     0.0018    -0.0032     0.0039     0.1709
            150     0.0009     0.0018    -0.0026     0.0045     0.2870
            151     0.0010     0.0018    -0.0026     0.0045     0.2961
            152     0.0011     0.0018    -0.0024     0.0047     0.3499
            153     0.0003     0.0018    -0.0032     0.0039     0.1639
            154     0.0005     0.0018    -0.0031     0.0040     0.1919
            155     0.0005     0.0018    -0.0031     0.0040     0.1860
            156     0.0005     0.0018    -0.0031     0.0040     0.1913
            157     0.0008     0.0018    -0.0028     0.0043     0.2479
            158     0.0008     0.0018    -0.0028     0.0043     0.2503
            159     0.0009     0.0018    -0.0026     0.0045     0.2932
            160     0.0003     0.0018    -0.0032     0.0039     0.1628
            161     0.0008     0.0018    -0.0027     0.0044     0.2595
            162     0.0005     0.0018    -0.0030     0.0041     0.2020
            163     0.0005     0.0018    -0.0031     0.0040     0.1897
            164     0.0005     0.0018    -0.0031     0.0040     0.1903
            165     0.0009     0.0018    -0.0027     0.0044     0.2739
            166     0.0017     0.0018    -0.0019     0.0054     0.5483
            167     0.0002     0.0018    -0.0034     0.0037     0.1375
            168     0.0002     0.0018    -0.0034     0.0037     0.1375
            169     0.0014     0.0018    -0.0022     0.0050     0.4323
            170     0.0006     0.0018    -0.0030     0.0042     0.2139
            171     0.0006     0.0018    -0.0029     0.0042     0.2238
            172     0.0006     0.0018    -0.0029     0.0042     0.2208
            173     0.0003     0.0018    -0.0032     0.0039     0.1623
            174     0.0004     0.0018    -0.0031     0.0040     0.1845
            175     0.0008     0.0018    -0.0028     0.0043     0.2563
            176     0.0009     0.0018    -0.0027     0.0044     0.2770
            177     0.0006     0.0018    -0.0030     0.0042     0.2254
            178     0.0003     0.0018    -0.0032     0.0039     0.1634
            179     0.0004     0.0018    -0.0032     0.0039     0.1714
            180     0.0005     0.0018    -0.0030     0.0041     0.1955
            181     0.0006     0.0018    -0.0030     0.0041     0.2110
            182     0.0009     0.0018    -0.0027     0.0045     0.2852
            183     0.0009     0.0018    -0.0026     0.0045     0.2895
            184     0.0003     0.0018    -0.0033     0.0038     0.1544
            185     0.0005     0.0018    -0.0030     0.0041     0.2034
            186     0.0014     0.0018    -0.0023     0.0050     0.4163
            187     0.0005     0.0018    -0.0030     0.0041     0.2020
            188     0.0003     0.0018    -0.0032     0.0039     0.1670
            189     0.0003     0.0018    -0.0032     0.0039     0.1611
            190     0.0003     0.0018    -0.0033     0.0038     0.1577
            191     0.0011     0.0018    -0.0024     0.0047     0.3413
            192     0.0008     0.0018    -0.0027     0.0044     0.2691
            193     0.0010     0.0018    -0.0026     0.0045     0.2997
            194     0.0005     0.0018    -0.0030     0.0041     0.1974
            195     0.0017     0.0018    -0.0019     0.0053     0.5337
            196     0.0006     0.0018    -0.0029     0.0042     0.2246
            197     0.0010     0.0018    -0.0026     0.0046     0.3078
            198     0.0015     0.0018    -0.0021     0.0051     0.4728
            199     0.0005     0.0018    -0.0030     0.0041     0.2000
            200     0.0003     0.0018    -0.0033     0.0038     0.1518
            201     0.0004     0.0018    -0.0032     0.0039     0.1755
            202     0.0003     0.0018    -0.0033     0.0038     0.1587
            203     0.0003     0.0018    -0.0032     0.0039     0.1663
            204     0.0003     0.0018    -0.0032     0.0039     0.1659
            205     0.0004     0.0018    -0.0032     0.0039     0.1705
            206     0.0004     0.0018    -0.0032     0.0039     0.1704
            207     0.0005     0.0018    -0.0031     0.0040     0.1934
            208     0.0004     0.0018    -0.0031     0.0040     0.1825
            209     0.0006     0.0018    -0.0029     0.0042     0.2165
            210     0.0003     0.0018    -0.0033     0.0038     0.1515
            211     0.0003     0.0018    -0.0032     0.0038     0.1587
            212     0.0004     0.0018    -0.0031     0.0040     0.1862
            213     0.0004     0.0018    -0.0032     0.0039     0.1700
            214     0.0004     0.0018    -0.0031     0.0040     0.1790
            215     0.0003     0.0018    -0.0032     0.0039     0.1620
            216     0.0006     0.0018    -0.0030     0.0041     0.2099
            217     0.0005     0.0018    -0.0031     0.0040     0.1933
            218     0.0005     0.0018    -0.0031     0.0040     0.1926
            219     0.0006     0.0018    -0.0030     0.0041     0.2068
            220     0.0006     0.0018    -0.0030     0.0041     0.2070
            221     0.0002     0.0018    -0.0033     0.0038     0.1449
            222     0.0004     0.0018    -0.0031     0.0040     0.1771
            223     0.0002     0.0018    -0.0033     0.0038     0.1487
            224     0.0006     0.0018    -0.0029     0.0042     0.2179
            225     0.0003     0.0018    -0.0033     0.0038     0.1544
            226     0.0023     0.0018    -0.0013     0.0059     0.7668
            227     0.0004     0.0018    -0.0032     0.0039     0.1737
            228     0.0006     0.0018    -0.0030     0.0041     0.2089
            229     0.0009     0.0018    -0.0027     0.0044     0.2796
            230     0.0005     0.0018    -0.0031     0.0040     0.1871
            231     0.0002     0.0018    -0.0033     0.0038     0.1455
            232     0.0004     0.0018    -0.0032     0.0039     0.1730
            233     0.0013     0.0018    -0.0023     0.0048     0.3862
            234     0.0003     0.0018    -0.0033     0.0038     0.1575
            235     0.0003     0.0018    -0.0032     0.0039     0.1608
            236     0.0003     0.0018    -0.0033     0.0038     0.1527
            237     0.0004     0.0018    -0.0032     0.0039     0.1761
            238     0.0006     0.0018    -0.0030     0.0041     0.2123
            239     0.0007     0.0018    -0.0028     0.0043     0.2423
            240     0.0017     0.0018    -0.0018     0.0053     0.5432
            241     0.0013     0.0018    -0.0023     0.0048     0.3886
            242     0.0003     0.0018    -0.0033     0.0038     0.1580
            243     0.0017     0.0018    -0.0019     0.0053     0.5307
            244     0.0003     0.0018    -0.0032     0.0039     0.1670
            245     0.0006     0.0018    -0.0029     0.0042     0.2238
            246     0.0013     0.0018    -0.0023     0.0048     0.3859
            247     0.0011     0.0018    -0.0025     0.0046     0.3311
            248     0.0005     0.0018    -0.0030     0.0041     0.2002
            249     0.0003     0.0018    -0.0033     0.0038     0.1542
            250     0.0003     0.0018    -0.0033     0.0038     0.1552
            251     0.0009     0.0018    -0.0027     0.0045     0.2929
            252     0.0007     0.0018    -0.0028     0.0043     0.2366
            253     0.0004     0.0018    -0.0031     0.0040     0.1817
            254     0.0011     0.0018    -0.0025     0.0046     0.3281
            255     0.0006     0.0018    -0.0029     0.0042     0.2223
            256     0.0006     0.0018    -0.0029     0.0042     0.2208
            257     0.0004     0.0018    -0.0031     0.0040     0.1771
            258     0.0005     0.0018    -0.0030     0.0041     0.2031
            259     0.0005     0.0018    -0.0031     0.0040     0.1864
            260     0.0003     0.0018    -0.0032     0.0039     0.1642
            261     0.0014     0.0018    -0.0022     0.0050     0.4395
            262     0.0007     0.0018    -0.0028     0.0043     0.2415
            263     0.0005     0.0018    -0.0030     0.0041     0.2039
            264     0.0003     0.0018    -0.0033     0.0038     0.1535
            265     0.0004     0.0018    -0.0032     0.0039     0.1674
            266     0.0011     0.0018    -0.0024     0.0047     0.3404
            267     0.0004     0.0018    -0.0031     0.0040     0.1849
            268     0.0004     0.0018    -0.0031     0.0039     0.1761
            269     0.0005     0.0018    -0.0030     0.0041     0.1991
            270     0.0005     0.0018    -0.0030     0.0041     0.1961
            271     0.0013     0.0018    -0.0023     0.0048     0.3843
            272     0.0006     0.0018    -0.0029     0.0042     0.2197
            273     0.0003     0.0018    -0.0032     0.0039     0.1632
            274     0.0002     0.0018    -0.0033     0.0038     0.1487
            275     0.0010     0.0018    -0.0025     0.0046     0.3092
            276     0.0008     0.0018    -0.0027     0.0044     0.2655
            277     0.0011     0.0018    -0.0024     0.0047     0.3461
            278     0.0011     0.0018    -0.0024     0.0047     0.3371
            279     0.0009     0.0018    -0.0026     0.0045     0.2829
            280     0.0007     0.0018    -0.0029     0.0042     0.2254
            281     0.0014     0.0018    -0.0022     0.0050     0.4249
            282     0.0002     0.0018    -0.0033     0.0038     0.1493
            283     0.0014     0.0018    -0.0021     0.0050     0.4343
            284     0.0004     0.0018    -0.0031     0.0040     0.1779
            285     0.0006     0.0018    -0.0029     0.0042     0.2253
            286     0.0003     0.0018    -0.0033     0.0038     0.1558
            287     0.0030     0.0020    -0.0010     0.0070     0.9402
            288     0.0006     0.0018    -0.0030     0.0041     0.2047
            289     0.0006     0.0018    -0.0029     0.0042     0.2190
            290     0.0004     0.0018    -0.0031     0.0040     0.1824
            291     0.0014     0.0018    -0.0022     0.0049     0.4165
            292     0.0005     0.0018    -0.0031     0.0040     0.1867
            293     0.0009     0.0019    -0.0028     0.0045     0.2867
            294     0.0009     0.0018    -0.0026     0.0045     0.2945
            295     0.0011     0.0018    -0.0024     0.0047     0.3434
            296     0.0004     0.0018    -0.0032     0.0039     0.1690
            297     0.0004     0.0018    -0.0032     0.0039     0.1747
            298     0.0006     0.0018    -0.0030     0.0041     0.2059
            299     0.0016     0.0018    -0.0020     0.0052     0.4863
            300     0.0012     0.0018    -0.0023     0.0048     0.3784
            301     0.0014     0.0019    -0.0024     0.0051     0.4446
            302     0.0004     0.0018    -0.0032     0.0039     0.1713
            303     0.0012     0.0018    -0.0024     0.0048     0.3588
            304     0.0004     0.0018    -0.0032     0.0039     0.1716
            305     0.0004     0.0018    -0.0031     0.0040     0.1832
            306     0.0006     0.0018    -0.0029     0.0042     0.2225
            307     0.0011     0.0019    -0.0026     0.0049     0.3700
            308     0.0004     0.0018    -0.0032     0.0039     0.1758
            309     0.0007     0.0018    -0.0029     0.0042     0.2344
            310     0.0004     0.0018    -0.0031     0.0040     0.1800
            311     0.0009     0.0018    -0.0027     0.0045     0.2919
            312     0.0003     0.0018    -0.0032     0.0039     0.1668
            313     0.0015     0.0018    -0.0021     0.0050     0.4492
            314     0.0007     0.0018    -0.0028     0.0043     0.2417
            315     0.0011     0.0018    -0.0025     0.0046     0.3290
            316     0.0004     0.0018    -0.0031     0.0040     0.1834
            317     0.0027     0.0018    -0.0009     0.0062     0.9172
            318     0.0015     0.0018    -0.0021     0.0051     0.4645
            319     0.0003     0.0018    -0.0032     0.0039     0.1602
            320     0.0007     0.0018    -0.0029     0.0042     0.2264
            321     0.0016     0.0018    -0.0020     0.0052     0.5011
            322     0.0004     0.0018    -0.0031     0.0040     0.1817
            323     0.0003     0.0018    -0.0033     0.0038     0.1575
            324     0.0003     0.0018    -0.0032     0.0039     0.1644
            325     0.0006     0.0018    -0.0030     0.0041     0.2097
            326     0.0024     0.0018    -0.0012     0.0059     0.7868
            327     0.0004     0.0018    -0.0032     0.0039     0.1739
            328     0.0003     0.0018    -0.0033     0.0038     0.1534
            329     0.0030     0.0018    -0.0006     0.0066     0.9254
            330     0.0031     0.0018    -0.0005     0.0067     0.8773
            331     0.0003     0.0018    -0.0032     0.0039     0.1632
            332     0.0006     0.0018    -0.0029     0.0042     0.2214
            333     0.0066     0.0019     0.0029     0.0103     0.0479    **
            334     0.0004     0.0018    -0.0032     0.0039     0.1684
            335     0.0009     0.0018    -0.0026     0.0045     0.2949
            336     0.0005     0.0018    -0.0030     0.0041     0.2005
            337     0.0009     0.0018    -0.0026     0.0045     0.2934
            338     0.0013     0.0018    -0.0023     0.0049     0.4040
            339     0.0005     0.0018    -0.0031     0.0040     0.1916
            340     0.0009     0.0018    -0.0027     0.0045     0.2811
            341     0.0013     0.0018    -0.0023     0.0049     0.3950
            342     0.0003     0.0018    -0.0032     0.0039     0.1609
            343     0.0021     0.0018    -0.0015     0.0057     0.6808
            344     0.0006     0.0018    -0.0030     0.0041     0.2057
            345     0.0015     0.0018    -0.0021     0.0050     0.4461
            346     0.0010     0.0018    -0.0026     0.0046     0.3231
            347     0.0010     0.0018    -0.0026     0.0046     0.3080
            348     0.0004     0.0018    -0.0032     0.0039     0.1690
            349     0.0005     0.0018    -0.0030     0.0041     0.2018
            350     0.0031     0.0018    -0.0005     0.0067     0.8894
            351     0.0003     0.0018    -0.0033     0.0038     0.1516
            352     0.0004     0.0018    -0.0031     0.0040     0.1848
            353     0.0009     0.0018    -0.0027     0.0044     0.2759
            354     0.0012     0.0018    -0.0023     0.0048     0.3709
            355     0.0007     0.0018    -0.0029     0.0042     0.2253
            356     0.0005     0.0018    -0.0031     0.0040     0.1876
            357     0.0010     0.0018    -0.0026     0.0046     0.3036
            358     0.0005     0.0018    -0.0030     0.0041     0.2015
            359     0.0005     0.0018    -0.0030     0.0041     0.2013
            360     0.0005     0.0018    -0.0030     0.0041     0.1949
            361     0.0007     0.0018    -0.0029     0.0042     0.2280
            362     0.0017     0.0019    -0.0019     0.0054     0.5461
            363     0.0005     0.0018    -0.0031     0.0040     0.1913
            364     0.0005     0.0018    -0.0030     0.0041     0.2036
            365     0.0019     0.0018    -0.0017     0.0055     0.6095
            366     0.0041     0.0019     0.0004     0.0079     0.4998
            367     0.0009     0.0018    -0.0027     0.0044     0.2808
            368     0.0010     0.0018    -0.0026     0.0045     0.2972
            369     0.0011     0.0018    -0.0024     0.0047     0.3415
            370     0.0004     0.0018    -0.0031     0.0040     0.1813
            371     0.0005     0.0018    -0.0031     0.0040     0.1868
            372     0.0013     0.0018    -0.0023     0.0049     0.3953
            373     0.0004     0.0018    -0.0032     0.0039     0.1694
            374     0.0014     0.0018    -0.0022     0.0049     0.4195
            375     0.0012     0.0018    -0.0024     0.0048     0.3587
            376     0.0010     0.0018    -0.0025     0.0046     0.3191
            377     0.0009     0.0018    -0.0026     0.0045     0.2893
            378     0.0004     0.0018    -0.0032     0.0039     0.1731
            379     0.0009     0.0019    -0.0028     0.0045     0.2905
            380     0.0007     0.0018    -0.0029     0.0042     0.2341
            381     0.0003     0.0018    -0.0032     0.0039     0.1656
            382     0.0006     0.0018    -0.0030     0.0042     0.2135
            383     0.0007     0.0018    -0.0029     0.0042     0.2308
            384     0.0004     0.0018    -0.0032     0.0039     0.1700
            385     0.0004     0.0018    -0.0032     0.0039     0.1752
            386     0.0020     0.0018    -0.0016     0.0056     0.6429
            387     0.0007     0.0018    -0.0029     0.0042     0.2316
            388     0.0003     0.0018    -0.0033     0.0038     0.1581
            389     0.0009     0.0018    -0.0027     0.0044     0.2733
            390     0.0003     0.0018    -0.0032     0.0038     0.1591
            391     0.0013     0.0018    -0.0023     0.0048     0.3856
            392     0.0010     0.0018    -0.0026     0.0045     0.3026
            393     0.0009     0.0018    -0.0027     0.0045     0.2957
            394     0.0007     0.0018    -0.0028     0.0043     0.2455
            395     0.0004     0.0018    -0.0032     0.0039     0.1710
            396     0.0007     0.0018    -0.0029     0.0043     0.2371
            397     0.0005     0.0018    -0.0030     0.0041     0.1945
            398     0.0005     0.0018    -0.0031     0.0040     0.1894
            399     0.0004     0.0018    -0.0031     0.0040     0.1820
            400     0.0003     0.0018    -0.0032     0.0039     0.1633
            401     0.0008     0.0018    -0.0028     0.0043     0.2504
            402     0.0003     0.0018    -0.0032     0.0039     0.1630
            403     0.0004     0.0018    -0.0032     0.0039     0.1740
            404     0.0011     0.0018    -0.0025     0.0046     0.3286
            405     0.0004     0.0018    -0.0032     0.0039     0.1715
            406     0.0008     0.0018    -0.0028     0.0044     0.2595
            407     0.0006     0.0018    -0.0030     0.0041     0.2086
            408     0.0003     0.0018    -0.0032     0.0039     0.1610
            409     0.0010     0.0018    -0.0026     0.0046     0.3083
            410     0.0005     0.0018    -0.0030     0.0041     0.2030
            411     0.0004     0.0018    -0.0031     0.0040     0.1840
            412     0.0004     0.0018    -0.0031     0.0039     0.1763
            413     0.0005     0.0018    -0.0031     0.0040     0.1939
            414     0.0004     0.0018    -0.0032     0.0039     0.1749
            415     0.0006     0.0018    -0.0029     0.0042     0.2203
            416     0.0005     0.0018    -0.0031     0.0040     0.1934
            417     0.0002     0.0018    -0.0033     0.0038     0.1450
            418     0.0006     0.0018    -0.0030     0.0041     0.2130
            419     0.0009     0.0018    -0.0026     0.0045     0.2864
            420     0.0004     0.0018    -0.0031     0.0040     0.1787
            421     0.0003     0.0018    -0.0032     0.0039     0.1595
            422     0.0007     0.0018    -0.0029     0.0042     0.2327
            423     0.0006     0.0018    -0.0030     0.0041     0.2051
            424     0.0010     0.0018    -0.0026     0.0046     0.3065
            425     0.0009     0.0018    -0.0027     0.0044     0.2723
            426     0.0012     0.0018    -0.0024     0.0047     0.3511
            427     0.0004     0.0018    -0.0031     0.0039     0.1761
            428     0.0007     0.0018    -0.0029     0.0042     0.2301
            429     0.0004     0.0018    -0.0031     0.0040     0.1784
            430     0.0006     0.0018    -0.0029     0.0042     0.2147
            431     0.0005     0.0018    -0.0030     0.0041     0.2037
            432     0.0003     0.0018    -0.0032     0.0039     0.1658
            433     0.0004     0.0018    -0.0031     0.0040     0.1781
            434     0.0008     0.0018    -0.0028     0.0043     0.2571
            435     0.0003     0.0018    -0.0033     0.0038     0.1542
            436     0.0004     0.0018    -0.0032     0.0039     0.1750
            437     0.0019     0.0018    -0.0017     0.0055     0.6077
            438     0.0005     0.0018    -0.0031     0.0040     0.1892
            439     0.0002     0.0018    -0.0033     0.0038     0.1459
            440     0.0017     0.0018    -0.0019     0.0053     0.5277
            441     0.0008     0.0018    -0.0027     0.0044     0.2696
            442     0.0003     0.0018    -0.0032     0.0039     0.1645
            443     0.0005     0.0018    -0.0031     0.0040     0.1888
            444     0.0002     0.0018    -0.0033     0.0038     0.1466
            445     0.0006     0.0018    -0.0030     0.0041     0.2043
            446     0.0002     0.0018    -0.0033     0.0038     0.1450
            447     0.0009     0.0018    -0.0027     0.0045     0.2897
            448     0.0003     0.0018    -0.0033     0.0038     0.1574
            449     0.0004     0.0018    -0.0031     0.0040     0.1818
            450     0.0004     0.0018    -0.0031     0.0040     0.1820
            451     0.0007     0.0018    -0.0029     0.0042     0.2332
            452     0.0012     0.0018    -0.0024     0.0048     0.3636
            453     0.0005     0.0018    -0.0030     0.0041     0.2004
            454     0.0020     0.0018    -0.0016     0.0056     0.6438
            455     0.0003     0.0018    -0.0033     0.0038     0.1517
            456     0.0007     0.0018    -0.0029     0.0043     0.2406
            457     0.0006     0.0018    -0.0030     0.0042     0.2172
            458     0.0005     0.0018    -0.0031     0.0040     0.1858
            459     0.0006     0.0018    -0.0030     0.0041     0.2111
            460     0.0005     0.0018    -0.0030     0.0041     0.2034
            461     0.0003     0.0018    -0.0032     0.0039     0.1656
            462     0.0005     0.0018    -0.0031     0.0040     0.1904
            463     0.0034     0.0020    -0.0006     0.0073     0.7936
            464     0.0010     0.0018    -0.0025     0.0046     0.3141
            465     0.0008     0.0018    -0.0028     0.0043     0.2520
            466     0.0007     0.0018    -0.0029     0.0042     0.2278
            467     0.0018     0.0018    -0.0019     0.0054     0.5525
            468     0.0005     0.0018    -0.0030     0.0041     0.1950
            469     0.0007     0.0018    -0.0029     0.0042     0.2313
            470     0.0005     0.0018    -0.0030     0.0041     0.2019
            471     0.0009     0.0019    -0.0028     0.0045     0.2891
            472     0.0016     0.0018    -0.0020     0.0052     0.4863
            473     0.0028     0.0018    -0.0008     0.0064     0.9924
            474     0.0006     0.0018    -0.0030     0.0041     0.2056
            475     0.0008     0.0018    -0.0027     0.0044     0.2628
            476     0.0003     0.0018    -0.0033     0.0038     0.1573
            477     0.0003     0.0018    -0.0033     0.0038     0.1578
            478     0.0007     0.0018    -0.0028     0.0043     0.2378
            479     0.0008     0.0018    -0.0028     0.0043     0.2482
            480     0.0004     0.0018    -0.0032     0.0039     0.1686
            481     0.0003     0.0018    -0.0032     0.0039     0.1638
            482     0.0005     0.0018    -0.0031     0.0040     0.1858
            483     0.0005     0.0018    -0.0030     0.0041     0.1958
            484     0.0004     0.0018    -0.0031     0.0040     0.1819
            485     0.0008     0.0018    -0.0028     0.0043     0.2498
            486     0.0007     0.0019    -0.0029     0.0044     0.2547
            487     0.0010     0.0018    -0.0026     0.0046     0.3173
            488     0.0016     0.0018    -0.0020     0.0052     0.4880
            489     0.0007     0.0018    -0.0028     0.0043     0.2526
            490     0.0005     0.0018    -0.0030     0.0041     0.1988
            491     0.0009     0.0018    -0.0028     0.0045     0.2808
            492     0.0005     0.0018    -0.0030     0.0041     0.2043
            493     0.0004     0.0018    -0.0032     0.0039     0.1736
            494     0.0033     0.0018    -0.0003     0.0069     0.8013
            495     0.0006     0.0018    -0.0030     0.0041     0.2123
            496     0.0005     0.0018    -0.0030     0.0041     0.1968
            497     0.0010     0.0018    -0.0026     0.0046     0.3201
            498     0.0009     0.0019    -0.0027     0.0046     0.3056
            499     0.0005     0.0018    -0.0031     0.0040     0.1879
            500     0.0004     0.0018    -0.0031     0.0040     0.1850
            501     0.0007     0.0018    -0.0029     0.0043     0.2364
            502     0.0003     0.0018    -0.0032     0.0039     0.1619
            503     0.0004     0.0018    -0.0032     0.0039     0.1729
            504     0.0003     0.0018    -0.0032     0.0039     0.1674
            505     0.0009     0.0018    -0.0026     0.0045     0.2928
            506     0.0012     0.0018    -0.0024     0.0048     0.3619
            507     0.0003     0.0018    -0.0032     0.0039     0.1634
            508     0.0007     0.0018    -0.0029     0.0043     0.2487
            509     0.0007     0.0018    -0.0028     0.0043     0.2372
            510     0.0009     0.0018    -0.0027     0.0044     0.2743
            511     0.0003     0.0018    -0.0033     0.0038     0.1519
            512     0.0003     0.0018    -0.0032     0.0039     0.1670
            513     0.0007     0.0018    -0.0028     0.0043     0.2449
            514     0.0061     0.0019     0.0023     0.0098     0.0975     *
            515     0.0003     0.0018    -0.0032     0.0039     0.1651
            516     0.0005     0.0018    -0.0030     0.0041     0.1961
            517     0.0023     0.0018    -0.0013     0.0059     0.7682
            518     0.0004     0.0018    -0.0032     0.0039     0.1715
            519     0.0014     0.0018    -0.0021     0.0050     0.4388
            520     0.0007     0.0018    -0.0028     0.0043     0.2431
            521     0.0004     0.0018    -0.0032     0.0039     0.1710
            522     0.0009     0.0018    -0.0027     0.0044     0.2800
            523     0.0005     0.0018    -0.0031     0.0040     0.1882
            524     0.0009     0.0018    -0.0026     0.0045     0.2834
            525     0.0008     0.0018    -0.0027     0.0044     0.2647
            526     0.0011     0.0018    -0.0024     0.0047     0.3359
            527     0.0008     0.0018    -0.0027     0.0044     0.2624
            528     0.0003     0.0018    -0.0032     0.0038     0.1587
            529     0.0004     0.0018    -0.0032     0.0039     0.1751
            530     0.0004     0.0018    -0.0032     0.0039     0.1735
            531     0.0011     0.0018    -0.0024     0.0047     0.3398
            532     0.0005     0.0018    -0.0030     0.0041     0.2027
            533     0.0007     0.0018    -0.0029     0.0042     0.2336
            534     0.0004     0.0018    -0.0031     0.0040     0.1792
            535     0.0005     0.0018    -0.0031     0.0041     0.1951
            536     0.0008     0.0018    -0.0027     0.0044     0.2711
            537     0.0004     0.0018    -0.0031     0.0040     0.1853
            538     0.0005     0.0018    -0.0030     0.0041     0.2015
            539     0.0009     0.0018    -0.0027     0.0045     0.2831
            540     0.0007     0.0018    -0.0028     0.0043     0.2404
            541     0.0003     0.0018    -0.0033     0.0038     0.1572
            542     0.0004     0.0018    -0.0032     0.0039     0.1738
            543     0.0009     0.0018    -0.0027     0.0045     0.2822
            544     0.0009     0.0018    -0.0027     0.0044     0.2697
            545     0.0002     0.0018    -0.0033     0.0038     0.1473
            546     0.0004     0.0018    -0.0031     0.0040     0.1816
            547     0.0006     0.0018    -0.0029     0.0042     0.2171
            548     0.0025     0.0018    -0.0011     0.0062     0.8693
            549     0.0006     0.0018    -0.0029     0.0042     0.2254
            550     0.0031     0.0018    -0.0005     0.0067     0.8719
            551     0.0017     0.0019    -0.0020     0.0054     0.5509
            552     0.0008     0.0018    -0.0028     0.0043     0.2518
            553     0.0003     0.0018    -0.0032     0.0039     0.1596
            554     0.0003     0.0018    -0.0032     0.0039     0.1610
            555     0.0010     0.0018    -0.0025     0.0046     0.3190
            556     0.0005     0.0018    -0.0031     0.0040     0.1882
            557     0.0003     0.0018    -0.0033     0.0038     0.1540
            558     0.0020     0.0018    -0.0016     0.0055     0.6293
            559     0.0003     0.0018    -0.0032     0.0039     0.1651
            560     0.0005     0.0018    -0.0031     0.0040     0.1883
            561     0.0033     0.0019    -0.0004     0.0069     0.8227
            562     0.0021     0.0018    -0.0015     0.0057     0.6743
            563     0.0009     0.0018    -0.0027     0.0044     0.2741
            564     0.0010     0.0019    -0.0027     0.0046     0.3187
            565     0.0058     0.0019     0.0022     0.0095     0.1115
            566     0.0004     0.0018    -0.0032     0.0039     0.1726
            567     0.0003     0.0018    -0.0032     0.0039     0.1658
            568     0.0004     0.0018    -0.0032     0.0039     0.1731
            569     0.0006     0.0018    -0.0030     0.0041     0.2048
            570     0.0014     0.0018    -0.0022     0.0050     0.4260
            571     0.0005     0.0018    -0.0031     0.0040     0.1938
            572     0.0003     0.0018    -0.0033     0.0038     0.1521
            573     0.0005     0.0018    -0.0030     0.0041     0.2034
            574     0.0007     0.0018    -0.0029     0.0042     0.2313
            575     0.0002     0.0018    -0.0033     0.0038     0.1456
            576     0.0008     0.0018    -0.0028     0.0044     0.2601
            577     0.0008     0.0018    -0.0027     0.0043     0.2577
            578     0.0004     0.0018    -0.0031     0.0040     0.1805
            579     0.0006     0.0018    -0.0029     0.0042     0.2249
            580     0.0009     0.0018    -0.0027     0.0044     0.2718
            581     0.0017     0.0019    -0.0020     0.0054     0.5502
            582     0.0014     0.0018    -0.0022     0.0050     0.4293
            583     0.0006     0.0018    -0.0030     0.0041     0.2068
            584     0.0005     0.0018    -0.0030     0.0041     0.2055
            585     0.0012     0.0019    -0.0025     0.0048     0.3696
            586     0.0009     0.0019    -0.0028     0.0045     0.2862
            587     0.0005     0.0018    -0.0030     0.0040     0.1941
            588     0.0007     0.0018    -0.0028     0.0043     0.2434
            589     0.0007     0.0018    -0.0029     0.0042     0.2336
            590     0.0012     0.0018    -0.0024     0.0047     0.3591
            591     0.0004     0.0018    -0.0032     0.0039     0.1725
            592     0.0005     0.0018    -0.0030     0.0041     0.1953
            593     0.0004     0.0018    -0.0032     0.0039     0.1704
            594     0.0005     0.0018    -0.0030     0.0041     0.1990
            595     0.0008     0.0018    -0.0028     0.0044     0.2670
            596     0.0004     0.0018    -0.0032     0.0039     0.1721
            597     0.0003     0.0018    -0.0033     0.0038     0.1540
            598     0.0005     0.0018    -0.0031     0.0040     0.1891
            599     0.0003     0.0018    -0.0032     0.0039     0.1645
            600     0.0005     0.0018    -0.0030     0.0041     0.2033
            601     0.0005     0.0018    -0.0030     0.0041     0.2010
            602     0.0002     0.0018    -0.0034     0.0037     0.1412
            603     0.0006     0.0018    -0.0029     0.0042     0.2211
            604     0.0008     0.0019    -0.0028     0.0044     0.2671
            605     0.0007     0.0018    -0.0028     0.0043     0.2426
            606     0.0004     0.0018    -0.0032     0.0039     0.1725
            607     0.0003     0.0018    -0.0033     0.0038     0.1572
            608     0.0006     0.0018    -0.0029     0.0042     0.2190
            609     0.0003     0.0018    -0.0032     0.0039     0.1629
            610     0.0002     0.0018    -0.0033     0.0038     0.1497
            611     0.0005     0.0018    -0.0030     0.0041     0.2010
            612     0.0006     0.0018    -0.0030     0.0041     0.2043
            613     0.0006     0.0018    -0.0029     0.0042     0.2189
            614     0.0024     0.0021    -0.0017     0.0065     0.8319
            615     0.0007     0.0018    -0.0028     0.0043     0.2401
            616     0.0007     0.0018    -0.0028     0.0043     0.2409
            617     0.0004     0.0018    -0.0032     0.0039     0.1726
            618     0.0006     0.0018    -0.0030     0.0041     0.2138
            619     0.0002     0.0018    -0.0034     0.0037     0.1402
            620     0.0010     0.0018    -0.0026     0.0045     0.2990
            621     0.0003     0.0018    -0.0032     0.0039     0.1669
            622     0.0005     0.0018    -0.0030     0.0041     0.1946
            623     0.0003     0.0018    -0.0033     0.0038     0.1539
            624     0.0007     0.0018    -0.0028     0.0043     0.2507
            625     0.0002     0.0018    -0.0033     0.0038     0.1505
            626     0.0008     0.0018    -0.0027     0.0044     0.2627
            627     0.0004     0.0018    -0.0031     0.0040     0.1841
            628     0.0005     0.0018    -0.0030     0.0041     0.2039
            629     0.0003     0.0018    -0.0032     0.0039     0.1650
            630     0.0031     0.0018    -0.0005     0.0067     0.8746
            631     0.0008     0.0018    -0.0027     0.0044     0.2623
            632     0.0003     0.0018    -0.0032     0.0039     0.1602
            633     0.0005     0.0018    -0.0031     0.0041     0.1947
            634     0.0022     0.0018    -0.0013     0.0058     0.7401
            635     0.0003     0.0018    -0.0033     0.0038     0.1565
            636     0.0006     0.0018    -0.0030     0.0041     0.2091
            637     0.0006     0.0018    -0.0030     0.0041     0.2121
            638     0.0004     0.0018    -0.0031     0.0040     0.1826
            639     0.0007     0.0018    -0.0029     0.0042     0.2256
            640     0.0005     0.0018    -0.0030     0.0041     0.1988
            641     0.0003     0.0018    -0.0033     0.0038     0.1515
            642     0.0006     0.0018    -0.0030     0.0041     0.2105
            643     0.0003     0.0018    -0.0032     0.0039     0.1667
            644     0.0007     0.0018    -0.0028     0.0043     0.2367
            645     0.0003     0.0018    -0.0033     0.0038     0.1575
            646     0.0005     0.0018    -0.0031     0.0040     0.1877
            647     0.0010     0.0018    -0.0026     0.0045     0.3024
            648     0.0014     0.0018    -0.0022     0.0050     0.4248
            649     0.0003     0.0018    -0.0032     0.0039     0.1612
            650     0.0003     0.0018    -0.0033     0.0038     0.1550
            651     0.0007     0.0018    -0.0028     0.0043     0.2399
            652     0.0003     0.0018    -0.0033     0.0038     0.1550
            653     0.0005     0.0018    -0.0030     0.0041     0.1965
            654     0.0004     0.0018    -0.0032     0.0039     0.1719
            655     0.0008     0.0018    -0.0027     0.0044     0.2614
            656     0.0005     0.0018    -0.0031     0.0040     0.1873
            657     0.0009     0.0018    -0.0027     0.0044     0.2731
            658     0.0011     0.0018    -0.0025     0.0046     0.3261
            659     0.0009     0.0018    -0.0027     0.0045     0.2941
            660     0.0008     0.0018    -0.0027     0.0044     0.2676
            661     0.0004     0.0018    -0.0032     0.0039     0.1697
            662     0.0010     0.0018    -0.0026     0.0045     0.3049
            663     0.0004     0.0018    -0.0032     0.0039     0.1699
            664     0.0005     0.0018    -0.0030     0.0041     0.2026
            665     0.0010     0.0018    -0.0026     0.0046     0.3192
            666     0.0007     0.0018    -0.0029     0.0043     0.2357
            667     0.0004     0.0018    -0.0031     0.0040     0.1848
            668     0.0006     0.0018    -0.0029     0.0042     0.2226
            669     0.0003     0.0018    -0.0033     0.0038     0.1566
            670     0.0004     0.0018    -0.0032     0.0039     0.1733
            671     0.0003     0.0018    -0.0033     0.0038     0.1516
            672     0.0007     0.0018    -0.0029     0.0042     0.2327
            673     0.0015     0.0018    -0.0021     0.0051     0.4587
            674     0.0008     0.0018    -0.0027     0.0044     0.2606
            675     0.0022     0.0018    -0.0014     0.0057     0.7068
            676     0.0006     0.0018    -0.0030     0.0041     0.2048
            677     0.0012     0.0018    -0.0024     0.0048     0.3630
            678     0.0012     0.0019    -0.0025     0.0048     0.3696
            679     0.0017     0.0018    -0.0019     0.0052     0.5133
            680     0.0008     0.0018    -0.0027     0.0044     0.2653
            681     0.0007     0.0018    -0.0029     0.0042     0.2281
            682     0.0008     0.0018    -0.0027     0.0044     0.2633
            683     0.0009     0.0018    -0.0027     0.0044     0.2785
            684     0.0012     0.0018    -0.0024     0.0047     0.3550
            685     0.0003     0.0018    -0.0033     0.0038     0.1573
            686     0.0002     0.0018    -0.0033     0.0038     0.1435
            687     0.0002     0.0018    -0.0034     0.0037     0.1424
            688     0.0005     0.0018    -0.0031     0.0040     0.1906
            689     0.0005     0.0018    -0.0030     0.0041     0.1959
            690     0.0003     0.0018    -0.0033     0.0038     0.1526
            691     0.0005     0.0018    -0.0030     0.0041     0.1981
            692     0.0005     0.0018    -0.0031     0.0040     0.1935
            693     0.0005     0.0018    -0.0031     0.0040     0.1905
            694     0.0004     0.0018    -0.0032     0.0039     0.1696
            695     0.0008     0.0018    -0.0027     0.0044     0.2669
            696     0.0012     0.0018    -0.0024     0.0047     0.3561
            697     0.0011     0.0018    -0.0025     0.0046     0.3244
            698     0.0009     0.0018    -0.0027     0.0044     0.2727
            699     0.0003     0.0018    -0.0032     0.0039     0.1621
            700     0.0004     0.0018    -0.0032     0.0039     0.1721
            701     0.0004     0.0018    -0.0032     0.0039     0.1733
            702     0.0003     0.0018    -0.0032     0.0039     0.1621
            703     0.0008     0.0018    -0.0028     0.0043     0.2513
            704     0.0008     0.0018    -0.0028     0.0043     0.2527
            705     0.0004     0.0018    -0.0032     0.0039     0.1687
            706     0.0004     0.0018    -0.0032     0.0039     0.1712
            707     0.0003     0.0018    -0.0033     0.0038     0.1518
            708     0.0004     0.0018    -0.0031     0.0040     0.1769
            709     0.0013     0.0018    -0.0022     0.0049     0.3996
            710     0.0010     0.0018    -0.0025     0.0046     0.3151
            711     0.0010     0.0018    -0.0025     0.0046     0.3210
            712     0.0018     0.0018    -0.0018     0.0054     0.5552
            713     0.0005     0.0018    -0.0030     0.0041     0.2029
            714     0.0004     0.0018    -0.0031     0.0040     0.1770
            715     0.0002     0.0018    -0.0033     0.0038     0.1459
            716     0.0018     0.0018    -0.0018     0.0054     0.5676
            717     0.0008     0.0018    -0.0028     0.0043     0.2495
            718     0.0018     0.0018    -0.0018     0.0054     0.5646
            719     0.0002     0.0018    -0.0034     0.0037     0.1412
            720     0.0002     0.0018    -0.0034     0.0037     0.1384
            721     0.0006     0.0018    -0.0030     0.0042     0.2188
            722     0.0012     0.0019    -0.0024     0.0049     0.3893
            723     0.0012     0.0019    -0.0024     0.0048     0.3691
            724     0.0012     0.0019    -0.0026     0.0049     0.3755
            725     0.0011     0.0018    -0.0025     0.0047     0.3360
            726     0.0015     0.0018    -0.0021     0.0051     0.4757
            727     0.0005     0.0018    -0.0031     0.0040     0.1885
            728     0.0008     0.0018    -0.0027     0.0044     0.2705
            729     0.0018     0.0018    -0.0017     0.0054     0.5781
            730     0.0009     0.0018    -0.0027     0.0045     0.2829
            731     0.0015     0.0018    -0.0021     0.0050     0.4478
            732     0.0007     0.0018    -0.0028     0.0043     0.2397
            733     0.0009     0.0018    -0.0027     0.0044     0.2775
            734     0.0016     0.0018    -0.0020     0.0052     0.4885
            735     0.0023     0.0018    -0.0013     0.0059     0.7542
            736     0.0039     0.0019     0.0003     0.0076     0.5551
            737     0.0006     0.0018    -0.0030     0.0041     0.2082
            738     0.0004     0.0018    -0.0031     0.0040     0.1847
            739     0.0006     0.0018    -0.0030     0.0041     0.2118
            740     0.0005     0.0018    -0.0030     0.0041     0.2007
            741     0.0004     0.0018    -0.0032     0.0039     0.1711
            742     0.0014     0.0018    -0.0021     0.0050     0.4332
            743     0.0023     0.0019    -0.0013     0.0059     0.7629
            744     0.0009     0.0018    -0.0026     0.0045     0.2835
            745     0.0027     0.0019    -0.0009     0.0063     0.9308
            746     0.0007     0.0018    -0.0028     0.0043     0.2367
            747     0.0021     0.0018    -0.0015     0.0057     0.6885
            748     0.0007     0.0018    -0.0029     0.0042     0.2265
            749     0.0048     0.0019     0.0011     0.0085     0.3089
            750     0.0010     0.0018    -0.0025     0.0046     0.3193
            751     0.0014     0.0018    -0.0021     0.0050     0.4406
            752     0.0019     0.0018    -0.0016     0.0055     0.6191
            753     0.0007     0.0018    -0.0029     0.0042     0.2304
            754     0.0009     0.0018    -0.0027     0.0044     0.2722
            755     0.0004     0.0018    -0.0032     0.0039     0.1684
            756     0.0014     0.0018    -0.0021     0.0050     0.4347
            757     0.0006     0.0018    -0.0029     0.0042     0.2153
            758     0.0008     0.0018    -0.0028     0.0043     0.2502
            759     0.0003     0.0018    -0.0033     0.0038     0.1564
            760     0.0011     0.0018    -0.0025     0.0047     0.3366
            761     0.0003     0.0018    -0.0033     0.0038     0.1558
            762     0.0010     0.0018    -0.0025     0.0046     0.3086
            763     0.0015     0.0018    -0.0021     0.0051     0.4607
            764     0.0021     0.0019    -0.0016     0.0058     0.6905
            765     0.0007     0.0018    -0.0028     0.0043     0.2425
            766     0.0004     0.0018    -0.0031     0.0040     0.1844
            767     0.0022     0.0018    -0.0014     0.0057     0.7082
            768     0.0026     0.0019    -0.0011     0.0064     0.9079
            769     0.0008     0.0018    -0.0027     0.0044     0.2698
            770     0.0013     0.0018    -0.0023     0.0049     0.4000
            771     0.0004     0.0018    -0.0031     0.0040     0.1841
            772     0.0009     0.0018    -0.0027     0.0045     0.2830
            773     0.0008     0.0018    -0.0028     0.0043     0.2506
            774     0.0013     0.0018    -0.0022     0.0049     0.4072
            775     0.0018     0.0018    -0.0018     0.0054     0.5749
            776     0.0008     0.0018    -0.0028     0.0043     0.2571
            777     0.0019     0.0018    -0.0016     0.0055     0.6201
            778     0.0004     0.0018    -0.0032     0.0039     0.1673
            779     0.0020     0.0018    -0.0015     0.0056     0.6557
            780     0.0009     0.0018    -0.0027     0.0045     0.2835
            781     0.0003     0.0018    -0.0032     0.0039     0.1656
            782     0.0006     0.0018    -0.0030     0.0042     0.2116
            783     0.0008     0.0018    -0.0028     0.0044     0.2587
            784     0.0010     0.0018    -0.0026     0.0045     0.2997
            785     0.0003     0.0018    -0.0032     0.0039     0.1622
            786     0.0019     0.0019    -0.0018     0.0055     0.5911
            787     0.0006     0.0018    -0.0029     0.0042     0.2214
            788     0.0004     0.0018    -0.0032     0.0039     0.1738
            789     0.0040     0.0019     0.0003     0.0078     0.5286
            790     0.0013     0.0018    -0.0023     0.0049     0.4005
            791     0.0024     0.0019    -0.0012     0.0061     0.8220
            792     0.0003     0.0018    -0.0033     0.0038     0.1514
            793     0.0012     0.0018    -0.0024     0.0047     0.3533
            794     0.0012     0.0018    -0.0024     0.0048     0.3582
            795     0.0005     0.0018    -0.0030     0.0041     0.2014
            796     0.0009     0.0018    -0.0027     0.0044     0.2771
            797     0.0012     0.0018    -0.0023     0.0048     0.3676
            798     0.0007     0.0018    -0.0028     0.0043     0.2423
            799     0.0003     0.0018    -0.0033     0.0038     0.1568
            800     0.0005     0.0018    -0.0031     0.0040     0.1876
            801     0.0012     0.0018    -0.0024     0.0047     0.3490
            802     0.0010     0.0018    -0.0026     0.0045     0.3059
            803     0.0012     0.0018    -0.0023     0.0048     0.3782
            804     0.0005     0.0018    -0.0031     0.0040     0.1935
            805     0.0007     0.0018    -0.0029     0.0042     0.2273
            806     0.0152     0.0022     0.0110     0.0195     0.0000   ***
            807     0.0123     0.0021     0.0081     0.0165     0.0000   ***
            808     0.0013     0.0018    -0.0023     0.0048     0.3838
            809     0.0010     0.0018    -0.0026     0.0045     0.3025
            810     0.0021     0.0018    -0.0015     0.0057     0.6808
            811     0.0012     0.0018    -0.0024     0.0048     0.3626
            812     0.0007     0.0018    -0.0028     0.0043     0.2403
            813     0.0021     0.0018    -0.0015     0.0056     0.6662
            814     0.0013     0.0018    -0.0023     0.0048     0.3856
            815     0.0158     0.0023     0.0113     0.0203     0.0000   ***
            816     0.0150     0.0022     0.0107     0.0193     0.0000   ***
            817     0.0008     0.0018    -0.0027     0.0044     0.2668
            818     0.0006     0.0018    -0.0029     0.0042     0.2189
            819     0.0016     0.0018    -0.0019     0.0052     0.5095
            820     0.0020     0.0018    -0.0016     0.0056     0.6376
            821     0.0068     0.0019     0.0030     0.0106     0.0397    **
            822     0.0040     0.0018     0.0004     0.0077     0.5199
            823     0.0005     0.0018    -0.0030     0.0041     0.2031
            824     0.0005     0.0018    -0.0031     0.0040     0.1942
            825     0.0018     0.0018    -0.0017     0.0054     0.5822
            826     0.0029     0.0019    -0.0007     0.0065     0.9740
            827     0.0017     0.0018    -0.0019     0.0053     0.5219
            828     0.0007     0.0018    -0.0029     0.0042     0.2322
            829     0.0009     0.0018    -0.0026     0.0045     0.2863
            830     0.0006     0.0018    -0.0030     0.0041     0.2080
            831     0.0010     0.0018    -0.0026     0.0045     0.2985
==============================================================================
Significant units: 6 / 832
---
Signif. codes:  0 '***' 0.01 '**' 0.05 '*' 0.1 ' ' 1
==============================================================================

=== Z-space feature summary ===
==============================================================================
Feature Importance Results
==============================================================================
Method: EOTExplainer
Number of units: 832
Significance level: 0.05
Alternative: two-sided
Margin method: mixture
Practical margin: 0.0028
------------------------------------------------------------------------------
        Feature   Estimate    Std Err   CI Lower   CI Upper    P-value   Sig
------------------------------------------------------------------------------
              0     0.0009     0.0020    -0.0031     0.0049     0.3332
              1     0.0020     0.0021    -0.0022     0.0062     0.7024
              2     0.0020     0.0020    -0.0020     0.0059     0.6660
              3     0.0001     0.0020    -0.0038     0.0040     0.1640
              4     0.0001     0.0020    -0.0038     0.0040     0.1634
              5     0.0012     0.0022    -0.0030     0.0054     0.4550
              6     0.0002     0.0020    -0.0037     0.0041     0.1901
              7     0.0001     0.0020    -0.0038     0.0040     0.1672
              8     0.0002     0.0020    -0.0037     0.0041     0.1834
              9     0.0001     0.0020    -0.0037     0.0040     0.1758
             10     0.0000     0.0020    -0.0039     0.0039     0.1583
             11     0.0010     0.0021    -0.0031     0.0051     0.3872
             12     0.0003     0.0020    -0.0035     0.0042     0.2114
             13     0.0023     0.0025    -0.0027     0.0073     0.8338
             14     0.0028     0.0020    -0.0012     0.0068     0.9902
             15     0.0014     0.0021    -0.0027     0.0055     0.4978
             16     0.0000     0.0020    -0.0039     0.0039     0.1571
             17     0.0019     0.0020    -0.0021     0.0058     0.6315
             18     0.0003     0.0020    -0.0036     0.0041     0.1942
             19     0.0047     0.0021     0.0006     0.0088     0.3615
             20     0.0007     0.0020    -0.0033     0.0047     0.2912
             21     0.0000     0.0020    -0.0039     0.0039     0.1588
             22     0.0028     0.0020    -0.0012     0.0069     0.9927
             23     0.0000     0.0020    -0.0039     0.0039     0.1576
             24     0.0006     0.0020    -0.0034     0.0045     0.2564
             25     0.0000     0.0020    -0.0038     0.0039     0.1598
             26     0.0000     0.0020    -0.0039     0.0039     0.1548
             27     0.0003     0.0020    -0.0036     0.0042     0.2060
             28     0.0009     0.0020    -0.0030     0.0048     0.3283
             29     0.0003     0.0020    -0.0036     0.0042     0.2073
             30     0.0001     0.0020    -0.0038     0.0039     0.1626
             31     0.0006     0.0020    -0.0033     0.0045     0.2553
             32     0.0000     0.0020    -0.0039     0.0039     0.1581
             33     0.0004     0.0020    -0.0035     0.0043     0.2148
             34     0.0009     0.0020    -0.0030     0.0048     0.3292
             35     0.0003     0.0020    -0.0036     0.0042     0.2105
             36     0.0009     0.0020    -0.0030     0.0049     0.3487
             37     0.0006     0.0020    -0.0034     0.0046     0.2767
             38     0.0003     0.0020    -0.0036     0.0042     0.2078
             39     0.0001     0.0020    -0.0038     0.0040     0.1636
             40     0.0002     0.0020    -0.0037     0.0041     0.1839
             41    -0.0000     0.0020    -0.0039     0.0039     0.1500
             42     0.0006     0.0020    -0.0033     0.0045     0.2599
             43    -0.0000     0.0020    -0.0039     0.0039     0.1535
             44     0.0004     0.0020    -0.0035     0.0043     0.2243
             45     0.0009     0.0021    -0.0032     0.0050     0.3554
             46     0.0004     0.0020    -0.0035     0.0043     0.2242
             47     0.0001     0.0020    -0.0038     0.0040     0.1655
             48     0.0002     0.0020    -0.0037     0.0041     0.1897
             49     0.0008     0.0020    -0.0031     0.0047     0.3141
             50     0.0004     0.0020    -0.0035     0.0043     0.2179
             51     0.0004     0.0020    -0.0036     0.0043     0.2152
             52     0.0010     0.0020    -0.0030     0.0050     0.3668
             53     0.0001     0.0020    -0.0038     0.0040     0.1725
             54     0.0001     0.0020    -0.0038     0.0040     0.1645
             55     0.0001     0.0020    -0.0038     0.0040     0.1645
             56     0.0000     0.0020    -0.0039     0.0039     0.1578
             57     0.0003     0.0020    -0.0036     0.0042     0.2091
             58     0.0038     0.0021    -0.0004     0.0080     0.6416
             59     0.0001     0.0020    -0.0038     0.0040     0.1747
             60     0.0004     0.0020    -0.0035     0.0043     0.2139
             61     0.0006     0.0020    -0.0033     0.0045     0.2608
             62     0.0004     0.0020    -0.0035     0.0044     0.2324
             63     0.0001     0.0020    -0.0037     0.0040     0.1764
             64     0.0001     0.0020    -0.0038     0.0039     0.1613
             65     0.0012     0.0021    -0.0029     0.0053     0.4474
             66     0.0001     0.0020    -0.0038     0.0039     0.1616
             67    -0.0000     0.0020    -0.0039     0.0039     0.1501
             68     0.0016     0.0021    -0.0024     0.0057     0.5681
             69     0.0002     0.0020    -0.0037     0.0041     0.1799
             70     0.0017     0.0021    -0.0023     0.0057     0.5807
             71     0.0001     0.0020    -0.0037     0.0040     0.1760
             72     0.0007     0.0020    -0.0032     0.0046     0.2828
             73     0.0017     0.0020    -0.0022     0.0056     0.5754
             74     0.0026     0.0028    -0.0030     0.0082     0.9325
             75     0.0002     0.0020    -0.0037     0.0041     0.1825
             76     0.0000     0.0020    -0.0038     0.0039     0.1600
             77    -0.0002     0.0020    -0.0042     0.0038     0.1335
             78    -0.0000     0.0020    -0.0039     0.0039     0.1497
             79     0.0033     0.0025    -0.0015     0.0081     0.8515
             80    -0.0015     0.0030    -0.0073     0.0043     0.1449
             81    -0.0000     0.0020    -0.0039     0.0039     0.1513
             82     0.0001     0.0020    -0.0038     0.0040     0.1708
             83     0.0002     0.0020    -0.0037     0.0041     0.1877
             84     0.0000     0.0020    -0.0039     0.0039     0.1553
             85     0.0003     0.0020    -0.0036     0.0041     0.1939
             86     0.0003     0.0020    -0.0036     0.0041     0.1947
             87    -0.0000     0.0020    -0.0039     0.0039     0.1533
             88     0.0047     0.0031    -0.0013     0.0108     0.5390
             89     0.0003     0.0020    -0.0036     0.0042     0.1963
             90     0.0002     0.0020    -0.0037     0.0041     0.1859
             91    -0.0002     0.0021    -0.0042     0.0038     0.1397
             92     0.0000     0.0020    -0.0039     0.0039     0.1583
             93     0.0010     0.0020    -0.0029     0.0050     0.3741
             94     0.0006     0.0020    -0.0033     0.0046     0.2716
             95     0.0001     0.0020    -0.0038     0.0040     0.1739
             96     0.0001     0.0020    -0.0038     0.0040     0.1648
             97     0.0005     0.0020    -0.0034     0.0044     0.2456
             98     0.0003     0.0020    -0.0036     0.0042     0.2067
             99     0.0001     0.0020    -0.0038     0.0040     0.1690
            100     0.0003     0.0020    -0.0036     0.0042     0.2009
            101     0.0000     0.0020    -0.0039     0.0039     0.1570
            102     0.0013     0.0021    -0.0028     0.0055     0.4822
            103     0.0010     0.0020    -0.0030     0.0049     0.3601
            104     0.0002     0.0020    -0.0037     0.0041     0.1816
            105     0.0011     0.0020    -0.0028     0.0050     0.3919
            106     0.0000     0.0020    -0.0039     0.0039     0.1586
            107     0.0015     0.0020    -0.0025     0.0054     0.4994
            108     0.0011     0.0020    -0.0028     0.0050     0.3902
            109     0.0016     0.0021    -0.0025     0.0056     0.5401
            110     0.0015     0.0023    -0.0031     0.0060     0.5597
            111     0.0008     0.0020    -0.0031     0.0047     0.3053
            112     0.0012     0.0020    -0.0028     0.0051     0.4130
            113     0.0009     0.0020    -0.0030     0.0048     0.3362
            114     0.0000     0.0020    -0.0039     0.0039     0.1555
            115     0.0005     0.0020    -0.0035     0.0044     0.2338
            116     0.0001     0.0020    -0.0038     0.0039     0.1623
            117     0.0010     0.0020    -0.0029     0.0050     0.3668
            118     0.0029     0.0021    -0.0012     0.0069     0.9915
            119     0.0014     0.0023    -0.0031     0.0058     0.5201
            120     0.0004     0.0020    -0.0035     0.0043     0.2191
            121     0.0000     0.0020    -0.0039     0.0039     0.1618
            122     0.0010     0.0020    -0.0030     0.0049     0.3558
            123     0.0019     0.0021    -0.0023     0.0060     0.6433
            124     0.0001     0.0020    -0.0038     0.0040     0.1704
            125     0.0004     0.0020    -0.0035     0.0043     0.2155
            126    -0.0000     0.0020    -0.0039     0.0038     0.1470
            127     0.0005     0.0020    -0.0034     0.0044     0.2362
            128     0.0000     0.0020    -0.0039     0.0039     0.1592
            129    -0.0000     0.0020    -0.0039     0.0039     0.1528
            130     0.0002     0.0020    -0.0037     0.0041     0.1898
            131     0.0003     0.0020    -0.0035     0.0042     0.2115
            132     0.0003     0.0020    -0.0036     0.0042     0.2077
            133     0.0002     0.0020    -0.0037     0.0041     0.1915
            134     0.0004     0.0020    -0.0036     0.0043     0.2238
            135     0.0006     0.0020    -0.0033     0.0045     0.2677
            136     0.0014     0.0021    -0.0026     0.0054     0.4870
            137     0.0004     0.0020    -0.0035     0.0043     0.2228
            138     0.0000     0.0020    -0.0039     0.0039     0.1580
            139     0.0005     0.0020    -0.0034     0.0044     0.2421
            140    -0.0001     0.0020    -0.0039     0.0038     0.1463
            141     0.0002     0.0020    -0.0037     0.0041     0.1828
            142     0.0002     0.0020    -0.0037     0.0041     0.1811
            143     0.0000     0.0020    -0.0039     0.0039     0.1591
            144     0.0000     0.0020    -0.0039     0.0039     0.1574
            145    -0.0000     0.0020    -0.0039     0.0039     0.1516
            146     0.0000     0.0020    -0.0039     0.0039     0.1593
            147     0.0001     0.0020    -0.0038     0.0040     0.1640
            148    -0.0001     0.0020    -0.0039     0.0038     0.1461
            149     0.0001     0.0020    -0.0038     0.0040     0.1736
            150     0.0007     0.0020    -0.0032     0.0046     0.2744
            151     0.0009     0.0020    -0.0030     0.0048     0.3414
            152     0.0014     0.0020    -0.0025     0.0053     0.4720
            153     0.0000     0.0020    -0.0038     0.0039     0.1607
            154     0.0002     0.0020    -0.0037     0.0041     0.1824
            155     0.0000     0.0020    -0.0039     0.0039     0.1542
            156     0.0001     0.0020    -0.0037     0.0040     0.1766
            157     0.0006     0.0020    -0.0033     0.0045     0.2623
            158     0.0007     0.0020    -0.0032     0.0046     0.2778
            159     0.0002     0.0020    -0.0037     0.0041     0.1785
            160    -0.0001     0.0020    -0.0039     0.0038     0.1453
            161     0.0009     0.0020    -0.0030     0.0049     0.3427
            162     0.0001     0.0020    -0.0038     0.0039     0.1619
            163     0.0000     0.0020    -0.0039     0.0039     0.1546
            164     0.0001     0.0020    -0.0038     0.0040     0.1641
            165     0.0002     0.0020    -0.0037     0.0041     0.1915
            166     0.0027     0.0021    -0.0015     0.0068     0.9330
            167    -0.0000     0.0020    -0.0039     0.0039     0.1506
            168    -0.0000     0.0020    -0.0039     0.0039     0.1515
            169     0.0011     0.0020    -0.0028     0.0051     0.3925
            170     0.0006     0.0020    -0.0033     0.0046     0.2771
            171     0.0000     0.0020    -0.0039     0.0039     0.1539
            172     0.0003     0.0020    -0.0036     0.0042     0.2033
            173     0.0001     0.0020    -0.0038     0.0040     0.1687
            174     0.0003     0.0020    -0.0037     0.0042     0.1967
            175     0.0004     0.0020    -0.0035     0.0043     0.2205
            176     0.0008     0.0020    -0.0031     0.0047     0.3025
            177     0.0004     0.0020    -0.0035     0.0044     0.2401
            178     0.0001     0.0020    -0.0038     0.0040     0.1664
            179    -0.0000     0.0020    -0.0039     0.0039     0.1494
            180     0.0005     0.0020    -0.0034     0.0044     0.2485
            181     0.0005     0.0020    -0.0034     0.0044     0.2337
            182     0.0013     0.0021    -0.0027     0.0053     0.4608
            183     0.0009     0.0020    -0.0030     0.0049     0.3435
            184    -0.0000     0.0020    -0.0039     0.0039     0.1509
            185     0.0001     0.0020    -0.0038     0.0040     0.1647
            186     0.0018     0.0021    -0.0023     0.0058     0.6115
            187     0.0001     0.0020    -0.0038     0.0040     0.1708
            188    -0.0000     0.0020    -0.0039     0.0039     0.1518
            189     0.0001     0.0020    -0.0038     0.0040     0.1704
            190     0.0001     0.0020    -0.0038     0.0039     0.1622
            191     0.0013     0.0020    -0.0027     0.0053     0.4524
            192     0.0011     0.0020    -0.0028     0.0050     0.3766
            193     0.0006     0.0020    -0.0033     0.0045     0.2674
            194     0.0001     0.0020    -0.0038     0.0040     0.1746
            195     0.0024     0.0021    -0.0016     0.0064     0.8268
            196     0.0005     0.0020    -0.0034     0.0044     0.2383
            197     0.0010     0.0020    -0.0030     0.0049     0.3617
            198     0.0022     0.0021    -0.0019     0.0063     0.7683
            199     0.0003     0.0020    -0.0036     0.0042     0.2060
            200    -0.0000     0.0020    -0.0039     0.0039     0.1508
            201     0.0001     0.0020    -0.0038     0.0039     0.1619
            202     0.0001     0.0020    -0.0038     0.0040     0.1726
            203    -0.0000     0.0020    -0.0039     0.0039     0.1515
            204     0.0000     0.0020    -0.0038     0.0039     0.1608
            205     0.0002     0.0020    -0.0037     0.0041     0.1877
            206     0.0001     0.0020    -0.0038     0.0039     0.1617
            207     0.0001     0.0020    -0.0038     0.0040     0.1695
            208     0.0002     0.0020    -0.0037     0.0041     0.1838
            209     0.0005     0.0020    -0.0034     0.0044     0.2348
            210     0.0001     0.0020    -0.0038     0.0040     0.1659
            211    -0.0000     0.0020    -0.0039     0.0038     0.1478
            212     0.0003     0.0020    -0.0036     0.0043     0.2169
            213     0.0000     0.0020    -0.0039     0.0039     0.1552
            214     0.0002     0.0020    -0.0037     0.0041     0.1853
            215     0.0001     0.0020    -0.0038     0.0039     0.1613
            216     0.0003     0.0020    -0.0036     0.0042     0.1981
            217     0.0002     0.0020    -0.0037     0.0040     0.1779
            218     0.0003     0.0020    -0.0036     0.0042     0.2061
            219     0.0001     0.0020    -0.0038     0.0039     0.1627
            220     0.0005     0.0020    -0.0034     0.0045     0.2525
            221     0.0001     0.0020    -0.0038     0.0040     0.1681
            222     0.0002     0.0020    -0.0037     0.0041     0.1843
            223     0.0000     0.0020    -0.0038     0.0039     0.1609
            224     0.0002     0.0020    -0.0037     0.0041     0.1884
            225     0.0000     0.0020    -0.0039     0.0039     0.1580
            226     0.0036     0.0020    -0.0004     0.0076     0.7174
            227     0.0001     0.0020    -0.0038     0.0040     0.1698
            228     0.0004     0.0020    -0.0035     0.0042     0.2119
            229     0.0003     0.0020    -0.0036     0.0042     0.1955
            230     0.0000     0.0020    -0.0039     0.0039     0.1592
            231    -0.0000     0.0020    -0.0039     0.0039     0.1513
            232     0.0001     0.0020    -0.0038     0.0040     0.1703
            233     0.0011     0.0020    -0.0029     0.0050     0.3782
            234    -0.0000     0.0020    -0.0039     0.0039     0.1486
            235     0.0000     0.0020    -0.0039     0.0039     0.1586
            236     0.0001     0.0020    -0.0038     0.0039     0.1613
            237     0.0002     0.0020    -0.0037     0.0041     0.1794
            238     0.0005     0.0020    -0.0035     0.0044     0.2346
            239     0.0003     0.0020    -0.0036     0.0042     0.2010
            240     0.0023     0.0020    -0.0017     0.0063     0.7878
            241     0.0012     0.0020    -0.0027     0.0052     0.4302
            242     0.0000     0.0020    -0.0039     0.0039     0.1591
            243     0.0024     0.0020    -0.0016     0.0064     0.8403
            244     0.0001     0.0020    -0.0038     0.0040     0.1627
            245     0.0003     0.0020    -0.0036     0.0042     0.1998
            246     0.0012     0.0021    -0.0028     0.0052     0.4327
            247     0.0004     0.0020    -0.0034     0.0043     0.2300
            248     0.0003     0.0020    -0.0036     0.0042     0.2071
            249     0.0000     0.0020    -0.0039     0.0039     0.1572
            250     0.0001     0.0020    -0.0038     0.0040     0.1686
            251     0.0008     0.0020    -0.0032     0.0048     0.3103
            252     0.0004     0.0020    -0.0035     0.0043     0.2265
            253     0.0001     0.0020    -0.0038     0.0040     0.1763
            254     0.0014     0.0020    -0.0026     0.0053     0.4660
            255     0.0004     0.0020    -0.0035     0.0043     0.2177
            256     0.0005     0.0020    -0.0034     0.0044     0.2429
            257     0.0000     0.0020    -0.0039     0.0039     0.1570
            258     0.0002     0.0020    -0.0037     0.0041     0.1881
            259     0.0001     0.0020    -0.0038     0.0040     0.1741
            260     0.0000     0.0020    -0.0039     0.0039     0.1593
            261     0.0018     0.0021    -0.0022     0.0059     0.6275
            262     0.0006     0.0020    -0.0033     0.0045     0.2690
            263     0.0004     0.0020    -0.0035     0.0043     0.2254
            264     0.0000     0.0020    -0.0038     0.0039     0.1597
            265     0.0000     0.0020    -0.0039     0.0039     0.1583
            266     0.0015     0.0020    -0.0024     0.0054     0.5050
            267     0.0001     0.0020    -0.0038     0.0040     0.1725
            268     0.0002     0.0020    -0.0037     0.0041     0.1831
            269     0.0003     0.0020    -0.0036     0.0042     0.2052
            270     0.0002     0.0020    -0.0037     0.0041     0.1818
            271     0.0019     0.0020    -0.0021     0.0059     0.6488
            272     0.0005     0.0020    -0.0034     0.0044     0.2416
            273     0.0000     0.0020    -0.0039     0.0039     0.1588
            274     0.0000     0.0020    -0.0038     0.0039     0.1596
            275     0.0003     0.0020    -0.0036     0.0042     0.2025
            276     0.0009     0.0020    -0.0030     0.0048     0.3402
            277     0.0009     0.0020    -0.0030     0.0049     0.3450
            278     0.0009     0.0020    -0.0030     0.0048     0.3239
            279     0.0006     0.0020    -0.0033     0.0045     0.2618
            280     0.0004     0.0020    -0.0035     0.0043     0.2285
            281     0.0017     0.0020    -0.0022     0.0057     0.5826
            282    -0.0000     0.0020    -0.0039     0.0039     0.1493
            283     0.0018     0.0020    -0.0021     0.0057     0.6064
            284     0.0001     0.0020    -0.0038     0.0040     0.1652
            285     0.0005     0.0020    -0.0034     0.0044     0.2457
            286     0.0000     0.0020    -0.0039     0.0039     0.1580
            287     0.0048     0.0026    -0.0003     0.0099     0.4579
            288     0.0003     0.0020    -0.0036     0.0042     0.2096
            289     0.0005     0.0020    -0.0034     0.0043     0.2316
            290     0.0001     0.0020    -0.0038     0.0040     0.1732
            291     0.0012     0.0020    -0.0027     0.0051     0.4171
            292     0.0002     0.0020    -0.0037     0.0041     0.1915
            293     0.0007     0.0021    -0.0033     0.0048     0.3156
            294     0.0010     0.0020    -0.0029     0.0050     0.3694
            295     0.0010     0.0020    -0.0029     0.0048     0.3445
            296     0.0000     0.0020    -0.0039     0.0039     0.1582
            297     0.0001     0.0020    -0.0038     0.0039     0.1621
            298     0.0001     0.0020    -0.0038     0.0040     0.1711
            299     0.0017     0.0020    -0.0023     0.0056     0.5726
            300     0.0009     0.0020    -0.0031     0.0048     0.3247
            301     0.0017     0.0022    -0.0026     0.0060     0.6056
            302     0.0000     0.0020    -0.0038     0.0039     0.1596
            303     0.0013     0.0020    -0.0027     0.0052     0.4392
            304     0.0001     0.0020    -0.0037     0.0040     0.1756
            305     0.0001     0.0020    -0.0038     0.0040     0.1739
            306     0.0005     0.0020    -0.0034     0.0045     0.2543
            307     0.0011     0.0022    -0.0031     0.0054     0.4303
            308     0.0002     0.0020    -0.0037     0.0040     0.1778
            309     0.0005     0.0020    -0.0034     0.0044     0.2497
            310     0.0001     0.0020    -0.0038     0.0040     0.1683
            311     0.0008     0.0020    -0.0031     0.0048     0.3165
            312     0.0001     0.0020    -0.0038     0.0040     0.1713
            313     0.0019     0.0020    -0.0020     0.0058     0.6434
            314     0.0006     0.0020    -0.0033     0.0045     0.2608
            315     0.0012     0.0020    -0.0028     0.0051     0.4058
            316     0.0002     0.0020    -0.0037     0.0040     0.1774
            317     0.0028     0.0020    -0.0012     0.0067     0.9699
            318     0.0016     0.0020    -0.0023     0.0056     0.5481
            319    -0.0000     0.0020    -0.0039     0.0038     0.1476
            320     0.0004     0.0020    -0.0035     0.0042     0.2120
            321     0.0017     0.0020    -0.0022     0.0057     0.5928
            322     0.0002     0.0020    -0.0037     0.0041     0.1831
            323     0.0000     0.0020    -0.0039     0.0039     0.1585
            324     0.0001     0.0020    -0.0038     0.0040     0.1663
            325     0.0005     0.0020    -0.0035     0.0045     0.2513
            326     0.0021     0.0020    -0.0019     0.0060     0.7025
            327     0.0001     0.0020    -0.0038     0.0040     0.1669
            328     0.0001     0.0020    -0.0038     0.0040     0.1643
            329     0.0036     0.0021    -0.0005     0.0077     0.7033
            330     0.0032     0.0020    -0.0008     0.0072     0.8594
            331    -0.0000     0.0020    -0.0039     0.0039     0.1522
            332     0.0003     0.0020    -0.0036     0.0042     0.2121
            333     0.0101     0.0023     0.0055     0.0147     0.0019   ***
            334     0.0001     0.0020    -0.0038     0.0040     0.1672
            335     0.0010     0.0020    -0.0030     0.0049     0.3562
            336     0.0001     0.0020    -0.0038     0.0039     0.1626
            337     0.0009     0.0020    -0.0030     0.0049     0.3468
            338     0.0018     0.0021    -0.0023     0.0058     0.6092
            339     0.0003     0.0020    -0.0036     0.0043     0.2119
            340     0.0009     0.0020    -0.0031     0.0049     0.3430
            341     0.0017     0.0020    -0.0022     0.0057     0.5837
            342     0.0001     0.0020    -0.0038     0.0039     0.1622
            343     0.0025     0.0020    -0.0015     0.0064     0.8517
            344     0.0004     0.0020    -0.0035     0.0043     0.2282
            345     0.0014     0.0020    -0.0026     0.0054     0.4849
            346     0.0011     0.0021    -0.0029     0.0052     0.4124
            347     0.0012     0.0020    -0.0027     0.0052     0.4269
            348     0.0001     0.0020    -0.0038     0.0040     0.1688
            349     0.0003     0.0020    -0.0036     0.0042     0.1982
            350     0.0040     0.0020     0.0000     0.0080     0.5637
            351     0.0000     0.0020    -0.0039     0.0039     0.1546
            352     0.0002     0.0020    -0.0037     0.0041     0.1814
            353     0.0012     0.0020    -0.0028     0.0052     0.4243
            354     0.0014     0.0020    -0.0025     0.0054     0.4913
            355     0.0005     0.0020    -0.0034     0.0044     0.2337
            356     0.0001     0.0020    -0.0038     0.0040     0.1726
            357     0.0010     0.0020    -0.0030     0.0050     0.3782
            358     0.0004     0.0020    -0.0035     0.0043     0.2248
            359     0.0002     0.0020    -0.0037     0.0041     0.1923
            360     0.0002     0.0020    -0.0037     0.0041     0.1903
            361     0.0006     0.0020    -0.0033     0.0045     0.2684
            362     0.0020     0.0022    -0.0023     0.0063     0.7010
            363     0.0002     0.0020    -0.0036     0.0041     0.1921
            364     0.0003     0.0020    -0.0036     0.0042     0.2039
            365     0.0025     0.0020    -0.0015     0.0065     0.8669
            366     0.0072     0.0023     0.0027     0.0117     0.0551     *
            367     0.0007     0.0020    -0.0032     0.0046     0.2741
            368     0.0008     0.0020    -0.0031     0.0047     0.3037
            369     0.0006     0.0020    -0.0033     0.0045     0.2567
            370     0.0002     0.0020    -0.0037     0.0041     0.1894
            371     0.0002     0.0020    -0.0037     0.0041     0.1867
            372     0.0011     0.0020    -0.0028     0.0051     0.4013
            373     0.0001     0.0020    -0.0038     0.0040     0.1667
            374     0.0015     0.0020    -0.0025     0.0054     0.4922
            375     0.0015     0.0021    -0.0025     0.0055     0.5115
            376     0.0011     0.0020    -0.0028     0.0050     0.3778
            377     0.0009     0.0020    -0.0031     0.0048     0.3345
            378     0.0001     0.0020    -0.0038     0.0040     0.1717
            379     0.0010     0.0021    -0.0032     0.0053     0.4057
            380     0.0005     0.0020    -0.0034     0.0044     0.2500
            381     0.0001     0.0020    -0.0038     0.0039     0.1611
            382     0.0005     0.0020    -0.0034     0.0045     0.2517
            383     0.0005     0.0020    -0.0034     0.0045     0.2523
            384    -0.0000     0.0020    -0.0039     0.0039     0.1504
            385     0.0000     0.0020    -0.0039     0.0039     0.1593
            386     0.0031     0.0020    -0.0009     0.0071     0.8906
            387     0.0004     0.0020    -0.0035     0.0043     0.2251
            388     0.0000     0.0020    -0.0039     0.0039     0.1578
            389     0.0003     0.0020    -0.0036     0.0042     0.1958
            390    -0.0000     0.0020    -0.0039     0.0039     0.1531
            391     0.0019     0.0020    -0.0021     0.0058     0.6260
            392     0.0011     0.0020    -0.0029     0.0050     0.3734
            393     0.0011     0.0021    -0.0029     0.0051     0.4040
            394     0.0001     0.0020    -0.0037     0.0040     0.1760
            395     0.0001     0.0020    -0.0038     0.0040     0.1737
            396     0.0007     0.0020    -0.0032     0.0047     0.2997
            397     0.0002     0.0020    -0.0037     0.0041     0.1902
            398     0.0002     0.0020    -0.0037     0.0041     0.1911
            399     0.0001     0.0020    -0.0038     0.0040     0.1711
            400     0.0000     0.0020    -0.0039     0.0039     0.1545
            401     0.0005     0.0020    -0.0034     0.0044     0.2479
            402     0.0000     0.0020    -0.0039     0.0039     0.1553
            403    -0.0000     0.0020    -0.0039     0.0039     0.1504
            404     0.0011     0.0020    -0.0028     0.0050     0.3876
            405     0.0001     0.0020    -0.0037     0.0040     0.1752
            406     0.0006     0.0020    -0.0034     0.0045     0.2619
            407     0.0004     0.0020    -0.0035     0.0043     0.2266
            408    -0.0000     0.0020    -0.0039     0.0039     0.1502
            409     0.0012     0.0020    -0.0027     0.0052     0.4308
            410     0.0004     0.0020    -0.0035     0.0044     0.2312
            411     0.0001     0.0020    -0.0038     0.0040     0.1741
            412     0.0001     0.0020    -0.0038     0.0040     0.1725
            413     0.0003     0.0020    -0.0036     0.0042     0.1960
            414    -0.0000     0.0020    -0.0039     0.0039     0.1494
            415     0.0004     0.0020    -0.0035     0.0044     0.2335
            416     0.0005     0.0020    -0.0034     0.0044     0.2343
            417    -0.0001     0.0020    -0.0040     0.0038     0.1440
            418     0.0004     0.0020    -0.0035     0.0043     0.2276
            419     0.0007     0.0020    -0.0032     0.0046     0.2802
            420    -0.0000     0.0020    -0.0039     0.0039     0.1534
            421     0.0000     0.0020    -0.0039     0.0039     0.1539
            422     0.0005     0.0020    -0.0034     0.0044     0.2495
            423     0.0003     0.0020    -0.0035     0.0042     0.2105
            424     0.0016     0.0020    -0.0023     0.0056     0.5452
            425     0.0006     0.0020    -0.0033     0.0045     0.2672
            426     0.0006     0.0020    -0.0033     0.0045     0.2624
            427     0.0002     0.0020    -0.0037     0.0041     0.1798
            428     0.0005     0.0020    -0.0034     0.0045     0.2585
            429     0.0001     0.0020    -0.0038     0.0040     0.1656
            430     0.0001     0.0020    -0.0038     0.0040     0.1676
            431     0.0002     0.0020    -0.0037     0.0041     0.1827
            432     0.0001     0.0020    -0.0038     0.0040     0.1704
            433     0.0001     0.0020    -0.0038     0.0040     0.1683
            434     0.0003     0.0020    -0.0036     0.0042     0.2006
            435     0.0000     0.0020    -0.0038     0.0039     0.1596
            436     0.0001     0.0020    -0.0038     0.0040     0.1733
            437     0.0028     0.0020    -0.0012     0.0068     0.9986
            438     0.0001     0.0020    -0.0037     0.0040     0.1764
            439    -0.0000     0.0020    -0.0039     0.0039     0.1503
            440     0.0025     0.0021    -0.0015     0.0065     0.8670
            441     0.0008     0.0020    -0.0031     0.0047     0.3141
            442     0.0001     0.0020    -0.0038     0.0040     0.1644
            443     0.0002     0.0020    -0.0036     0.0041     0.1925
            444    -0.0000     0.0020    -0.0039     0.0039     0.1502
            445     0.0002     0.0020    -0.0037     0.0041     0.1891
            446    -0.0001     0.0020    -0.0039     0.0038     0.1456
            447     0.0009     0.0020    -0.0031     0.0049     0.3463
            448     0.0000     0.0020    -0.0039     0.0039     0.1574
            449     0.0001     0.0020    -0.0038     0.0040     0.1661
            450    -0.0000     0.0020    -0.0039     0.0039     0.1515
            451     0.0006     0.0020    -0.0034     0.0045     0.2570
            452     0.0012     0.0020    -0.0027     0.0051     0.4217
            453     0.0004     0.0020    -0.0035     0.0043     0.2177
            454     0.0022     0.0020    -0.0017     0.0062     0.7691
            455     0.0001     0.0020    -0.0038     0.0040     0.1666
            456     0.0006     0.0020    -0.0033     0.0045     0.2670
            457     0.0005     0.0020    -0.0035     0.0044     0.2369
            458     0.0001     0.0020    -0.0038     0.0040     0.1655
            459     0.0004     0.0020    -0.0035     0.0043     0.2132
            460     0.0004     0.0020    -0.0035     0.0043     0.2248
            461     0.0001     0.0020    -0.0038     0.0040     0.1670
            462     0.0001     0.0020    -0.0038     0.0040     0.1733
            463     0.0056     0.0026     0.0006     0.0106     0.2846
            464     0.0008     0.0020    -0.0031     0.0047     0.3061
            465     0.0003     0.0020    -0.0036     0.0042     0.2012
            466     0.0005     0.0020    -0.0034     0.0043     0.2318
            467     0.0020     0.0021    -0.0020     0.0061     0.7040
            468     0.0003     0.0020    -0.0036     0.0041     0.1943
            469     0.0006     0.0020    -0.0033     0.0045     0.2556
            470     0.0003     0.0020    -0.0036     0.0042     0.2070
            471     0.0009     0.0021    -0.0032     0.0050     0.3591
            472     0.0018     0.0020    -0.0022     0.0058     0.6113
            473     0.0045     0.0021     0.0004     0.0086     0.4313
            474     0.0004     0.0020    -0.0035     0.0043     0.2161
            475     0.0006     0.0020    -0.0033     0.0045     0.2629
            476    -0.0000     0.0020    -0.0039     0.0039     0.1504
            477     0.0000     0.0020    -0.0039     0.0039     0.1539
            478     0.0003     0.0020    -0.0036     0.0042     0.1975
            479     0.0006     0.0020    -0.0033     0.0045     0.2697
            480     0.0001     0.0020    -0.0038     0.0040     0.1664
            481     0.0000     0.0020    -0.0039     0.0039     0.1546
            482     0.0002     0.0020    -0.0036     0.0041     0.1941
            483     0.0002     0.0020    -0.0036     0.0041     0.1933
            484     0.0000     0.0020    -0.0039     0.0039     0.1555
            485     0.0004     0.0020    -0.0035     0.0043     0.2250
            486     0.0009     0.0022    -0.0034     0.0051     0.3604
            487     0.0009     0.0020    -0.0030     0.0049     0.3427
            488     0.0021     0.0020    -0.0018     0.0061     0.7252
            489     0.0006     0.0020    -0.0034     0.0047     0.2848
            490     0.0003     0.0020    -0.0036     0.0042     0.1986
            491     0.0008     0.0021    -0.0032     0.0049     0.3338
            492     0.0003     0.0020    -0.0036     0.0042     0.2043
            493     0.0001     0.0020    -0.0038     0.0040     0.1691
            494     0.0056     0.0021     0.0015     0.0096     0.1849
            495     0.0004     0.0020    -0.0035     0.0043     0.2272
            496     0.0002     0.0020    -0.0037     0.0041     0.1829
            497     0.0010     0.0020    -0.0030     0.0050     0.3725
            498     0.0009     0.0021    -0.0033     0.0051     0.3651
            499     0.0002     0.0020    -0.0037     0.0041     0.1844
            500     0.0002     0.0020    -0.0037     0.0041     0.1836
            501     0.0006     0.0020    -0.0033     0.0045     0.2660
            502     0.0000     0.0020    -0.0039     0.0039     0.1556
            503     0.0001     0.0020    -0.0038     0.0040     0.1704
            504     0.0001     0.0020    -0.0038     0.0040     0.1737
            505     0.0005     0.0020    -0.0034     0.0044     0.2373
            506     0.0010     0.0020    -0.0029     0.0049     0.3650
            507     0.0001     0.0020    -0.0038     0.0040     0.1732
            508     0.0007     0.0021    -0.0033     0.0047     0.2941
            509     0.0004     0.0020    -0.0035     0.0043     0.2259
            510     0.0006     0.0020    -0.0033     0.0045     0.2550
            511    -0.0000     0.0020    -0.0039     0.0039     0.1528
            512     0.0001     0.0020    -0.0038     0.0040     0.1647
            513     0.0007     0.0020    -0.0032     0.0046     0.2812
            514     0.0100     0.0025     0.0052     0.0149     0.0036   ***
            515     0.0001     0.0020    -0.0038     0.0040     0.1628
            516     0.0001     0.0020    -0.0038     0.0040     0.1659
            517     0.0026     0.0020    -0.0014     0.0066     0.9094
            518     0.0001     0.0020    -0.0038     0.0040     0.1691
            519     0.0015     0.0020    -0.0025     0.0055     0.5206
            520     0.0001     0.0020    -0.0038     0.0040     0.1696
            521     0.0000     0.0020    -0.0039     0.0039     0.1577
            522     0.0008     0.0020    -0.0031     0.0047     0.3000
            523     0.0002     0.0020    -0.0037     0.0041     0.1816
            524     0.0008     0.0020    -0.0031     0.0047     0.3099
            525     0.0007     0.0020    -0.0032     0.0046     0.2887
            526     0.0009     0.0020    -0.0030     0.0048     0.3397
            527     0.0008     0.0020    -0.0031     0.0047     0.3034
            528     0.0000     0.0020    -0.0038     0.0039     0.1607
            529     0.0000     0.0020    -0.0038     0.0039     0.1600
            530     0.0002     0.0020    -0.0037     0.0041     0.1823
            531     0.0009     0.0020    -0.0030     0.0048     0.3318
            532     0.0003     0.0020    -0.0036     0.0042     0.2030
            533     0.0005     0.0020    -0.0034     0.0044     0.2324
            534     0.0002     0.0020    -0.0037     0.0041     0.1832
            535     0.0003     0.0020    -0.0036     0.0042     0.2081
            536     0.0009     0.0020    -0.0031     0.0048     0.3322
            537     0.0001     0.0020    -0.0038     0.0040     0.1705
            538     0.0004     0.0020    -0.0035     0.0043     0.2172
            539     0.0008     0.0020    -0.0032     0.0048     0.3275
            540     0.0006     0.0020    -0.0033     0.0045     0.2625
            541    -0.0000     0.0020    -0.0039     0.0039     0.1526
            542     0.0002     0.0020    -0.0037     0.0041     0.1828
            543     0.0008     0.0020    -0.0031     0.0047     0.3054
            544     0.0006     0.0020    -0.0033     0.0045     0.2675
            545     0.0000     0.0020    -0.0039     0.0039     0.1547
            546     0.0003     0.0020    -0.0036     0.0042     0.1990
            547     0.0003     0.0020    -0.0036     0.0042     0.2049
            548     0.0043     0.0021     0.0002     0.0084     0.4929
            549     0.0005     0.0020    -0.0034     0.0045     0.2530
            550     0.0039     0.0021    -0.0002     0.0079     0.6210
            551     0.0022     0.0022    -0.0021     0.0065     0.7589
            552     0.0006     0.0020    -0.0033     0.0046     0.2780
            553     0.0001     0.0020    -0.0038     0.0039     0.1627
            554     0.0000     0.0020    -0.0039     0.0039     0.1559
            555     0.0009     0.0020    -0.0030     0.0049     0.3446
            556     0.0003     0.0020    -0.0036     0.0042     0.1985
            557    -0.0000     0.0020    -0.0039     0.0039     0.1487
            558     0.0014     0.0020    -0.0025     0.0053     0.4783
            559     0.0001     0.0020    -0.0038     0.0040     0.1699
            560     0.0001     0.0020    -0.0038     0.0040     0.1665
            561     0.0039     0.0021    -0.0003     0.0080     0.6268
            562     0.0020     0.0020    -0.0020     0.0060     0.6882
            563     0.0005     0.0020    -0.0033     0.0044     0.2503
            564     0.0010     0.0021    -0.0031     0.0051     0.3807
            565     0.0071     0.0022     0.0028     0.0113     0.0503     *
            566     0.0001     0.0020    -0.0038     0.0040     0.1726
            567     0.0000     0.0020    -0.0038     0.0039     0.1606
            568     0.0001     0.0020    -0.0038     0.0040     0.1750
            569     0.0002     0.0020    -0.0037     0.0041     0.1880
            570     0.0025     0.0022    -0.0018     0.0068     0.8767
            571     0.0003     0.0020    -0.0036     0.0042     0.2059
            572     0.0000     0.0020    -0.0039     0.0039     0.1570
            573     0.0001     0.0020    -0.0038     0.0039     0.1623
            574     0.0006     0.0020    -0.0034     0.0046     0.2727
            575     0.0000     0.0020    -0.0039     0.0039     0.1538
            576     0.0006     0.0020    -0.0033     0.0045     0.2688
            577     0.0003     0.0020    -0.0036     0.0042     0.1995
            578     0.0002     0.0020    -0.0037     0.0041     0.1912
            579     0.0005     0.0020    -0.0035     0.0044     0.2381
            580     0.0007     0.0020    -0.0032     0.0046     0.2879
            581     0.0024     0.0022    -0.0019     0.0067     0.8472
            582     0.0016     0.0020    -0.0024     0.0056     0.5524
            583     0.0002     0.0020    -0.0037     0.0041     0.1867
            584     0.0000     0.0020    -0.0039     0.0039     0.1576
            585     0.0015     0.0022    -0.0028     0.0057     0.5338
            586     0.0008     0.0021    -0.0033     0.0048     0.3180
            587     0.0001     0.0020    -0.0037     0.0040     0.1761
            588     0.0006     0.0020    -0.0033     0.0045     0.2606
            589     0.0001     0.0020    -0.0038     0.0040     0.1691
            590     0.0012     0.0020    -0.0027     0.0051     0.4156
            591     0.0001     0.0020    -0.0038     0.0040     0.1652
            592     0.0003     0.0020    -0.0036     0.0041     0.1950
            593    -0.0001     0.0020    -0.0039     0.0038     0.1463
            594     0.0003     0.0020    -0.0036     0.0042     0.2039
            595     0.0008     0.0020    -0.0031     0.0048     0.3283
            596     0.0001     0.0020    -0.0038     0.0040     0.1710
            597    -0.0000     0.0020    -0.0039     0.0039     0.1506
            598     0.0002     0.0020    -0.0037     0.0041     0.1863
            599     0.0001     0.0020    -0.0038     0.0040     0.1722
            600     0.0004     0.0020    -0.0035     0.0043     0.2194
            601     0.0001     0.0020    -0.0038     0.0040     0.1683
            602     0.0000     0.0020    -0.0039     0.0039     0.1584
            603     0.0005     0.0020    -0.0034     0.0044     0.2464
            604     0.0008     0.0021    -0.0033     0.0049     0.3334
            605     0.0006     0.0020    -0.0033     0.0045     0.2620
            606     0.0001     0.0020    -0.0038     0.0040     0.1653
            607     0.0001     0.0020    -0.0038     0.0039     0.1615
            608     0.0004     0.0020    -0.0035     0.0043     0.2161
            609     0.0000     0.0020    -0.0039     0.0039     0.1568
            610    -0.0000     0.0020    -0.0039     0.0039     0.1529
            611     0.0003     0.0020    -0.0036     0.0042     0.1976
            612     0.0002     0.0020    -0.0037     0.0040     0.1773
            613     0.0001     0.0020    -0.0038     0.0040     0.1703
            614     0.0032     0.0026    -0.0019     0.0084     0.8811
            615     0.0006     0.0020    -0.0033     0.0045     0.2593
            616     0.0005     0.0020    -0.0033     0.0044     0.2506
            617     0.0001     0.0020    -0.0038     0.0040     0.1681
            618     0.0005     0.0020    -0.0034     0.0044     0.2397
            619    -0.0001     0.0020    -0.0040     0.0038     0.1449
            620     0.0011     0.0020    -0.0029     0.0050     0.3819
            621     0.0001     0.0020    -0.0038     0.0040     0.1710
            622     0.0003     0.0020    -0.0036     0.0042     0.2001
            623    -0.0000     0.0020    -0.0039     0.0039     0.1511
            624     0.0007     0.0020    -0.0033     0.0047     0.2911
            625     0.0000     0.0020    -0.0039     0.0039     0.1562
            626     0.0007     0.0020    -0.0032     0.0046     0.2841
            627     0.0002     0.0020    -0.0037     0.0041     0.1884
            628     0.0003     0.0020    -0.0036     0.0042     0.2050
            629     0.0001     0.0020    -0.0037     0.0040     0.1766
            630     0.0050     0.0021     0.0009     0.0090     0.2995
            631     0.0004     0.0020    -0.0035     0.0043     0.2219
            632     0.0001     0.0020    -0.0038     0.0040     0.1691
            633     0.0003     0.0020    -0.0036     0.0042     0.1992
            634     0.0022     0.0020    -0.0018     0.0062     0.7538
            635     0.0000     0.0020    -0.0039     0.0039     0.1559
            636     0.0002     0.0020    -0.0037     0.0041     0.1840
            637     0.0004     0.0020    -0.0035     0.0043     0.2245
            638     0.0002     0.0020    -0.0037     0.0041     0.1783
            639     0.0004     0.0020    -0.0035     0.0043     0.2296
            640     0.0002     0.0020    -0.0037     0.0041     0.1857
            641     0.0000     0.0020    -0.0039     0.0039     0.1576
            642     0.0004     0.0020    -0.0035     0.0043     0.2299
            643     0.0001     0.0020    -0.0038     0.0040     0.1670
            644     0.0003     0.0020    -0.0036     0.0042     0.1961
            645     0.0000     0.0020    -0.0039     0.0039     0.1585
            646     0.0002     0.0020    -0.0037     0.0041     0.1791
            647     0.0010     0.0020    -0.0029     0.0049     0.3619
            648     0.0020     0.0020    -0.0020     0.0060     0.6903
            649     0.0001     0.0020    -0.0038     0.0040     0.1654
            650     0.0000     0.0020    -0.0039     0.0039     0.1588
            651     0.0005     0.0020    -0.0034     0.0043     0.2314
            652     0.0000     0.0020    -0.0039     0.0039     0.1555
            653     0.0003     0.0020    -0.0036     0.0042     0.2005
            654     0.0000     0.0020    -0.0038     0.0039     0.1603
            655     0.0008     0.0020    -0.0031     0.0047     0.3026
            656     0.0002     0.0020    -0.0037     0.0041     0.1820
            657     0.0008     0.0020    -0.0031     0.0048     0.3244
            658     0.0012     0.0020    -0.0027     0.0052     0.4230
            659     0.0008     0.0020    -0.0032     0.0048     0.3248
            660     0.0005     0.0020    -0.0034     0.0044     0.2414
            661     0.0001     0.0020    -0.0038     0.0040     0.1691
            662     0.0010     0.0020    -0.0030     0.0049     0.3494
            663     0.0002     0.0020    -0.0037     0.0041     0.1810
            664    -0.0000     0.0020    -0.0039     0.0039     0.1533
            665     0.0011     0.0020    -0.0029     0.0051     0.3912
            666     0.0005     0.0020    -0.0034     0.0044     0.2380
            667     0.0002     0.0020    -0.0037     0.0041     0.1864
            668     0.0005     0.0020    -0.0034     0.0044     0.2467
            669    -0.0001     0.0020    -0.0039     0.0038     0.1458
            670     0.0001     0.0020    -0.0038     0.0040     0.1635
            671     0.0000     0.0020    -0.0039     0.0039     0.1571
            672     0.0006     0.0020    -0.0033     0.0045     0.2703
            673     0.0015     0.0020    -0.0024     0.0054     0.4984
            674     0.0003     0.0020    -0.0036     0.0042     0.2055
            675     0.0025     0.0020    -0.0015     0.0064     0.8614
            676     0.0003     0.0020    -0.0036     0.0042     0.1967
            677     0.0010     0.0020    -0.0029     0.0049     0.3526
            678     0.0015     0.0022    -0.0028     0.0057     0.5303
            679     0.0030     0.0021    -0.0011     0.0070     0.9487
            680     0.0007     0.0020    -0.0032     0.0046     0.2877
            681     0.0003     0.0020    -0.0036     0.0042     0.1989
            682     0.0003     0.0020    -0.0036     0.0042     0.2101
            683     0.0010     0.0020    -0.0029     0.0049     0.3615
            684     0.0013     0.0020    -0.0026     0.0052     0.4379
            685    -0.0000     0.0020    -0.0039     0.0038     0.1475
            686    -0.0000     0.0020    -0.0039     0.0039     0.1513
            687    -0.0001     0.0020    -0.0040     0.0038     0.1446
            688     0.0000     0.0020    -0.0039     0.0039     0.1584
            689     0.0007     0.0020    -0.0033     0.0047     0.2922
            690     0.0000     0.0020    -0.0039     0.0039     0.1588
            691     0.0002     0.0020    -0.0037     0.0041     0.1875
            692     0.0001     0.0020    -0.0038     0.0040     0.1632
            693     0.0002     0.0020    -0.0037     0.0041     0.1827
            694     0.0001     0.0020    -0.0038     0.0039     0.1627
            695     0.0007     0.0020    -0.0032     0.0046     0.2855
            696     0.0013     0.0020    -0.0027     0.0053     0.4462
            697     0.0013     0.0020    -0.0026     0.0052     0.4470
            698     0.0006     0.0020    -0.0033     0.0045     0.2647
            699     0.0001     0.0020    -0.0038     0.0040     0.1630
            700     0.0004     0.0020    -0.0036     0.0043     0.2261
            701     0.0000     0.0020    -0.0039     0.0039     0.1588
            702     0.0000     0.0020    -0.0039     0.0039     0.1592
            703     0.0006     0.0020    -0.0033     0.0045     0.2710
            704     0.0003     0.0020    -0.0036     0.0042     0.2097
            705     0.0001     0.0020    -0.0038     0.0040     0.1737
            706     0.0003     0.0020    -0.0036     0.0042     0.2071
            707    -0.0000     0.0020    -0.0039     0.0039     0.1531
            708     0.0002     0.0020    -0.0037     0.0041     0.1821
            709     0.0020     0.0020    -0.0019     0.0060     0.6902
            710     0.0007     0.0020    -0.0032     0.0046     0.2828
            711     0.0010     0.0020    -0.0029     0.0050     0.3690
            712     0.0024     0.0021    -0.0016     0.0064     0.8396
            713     0.0003     0.0020    -0.0036     0.0042     0.2076
            714     0.0001     0.0020    -0.0038     0.0040     0.1660
            715    -0.0000     0.0020    -0.0039     0.0039     0.1504
            716     0.0020     0.0020    -0.0019     0.0060     0.6930
            717     0.0006     0.0020    -0.0033     0.0045     0.2564
            718     0.0019     0.0020    -0.0021     0.0058     0.6302
            719    -0.0000     0.0020    -0.0039     0.0038     0.1480
            720    -0.0000     0.0020    -0.0039     0.0039     0.1489
            721     0.0004     0.0020    -0.0035     0.0044     0.2320
            722     0.0014     0.0021    -0.0027     0.0055     0.4899
            723     0.0016     0.0021    -0.0025     0.0057     0.5460
            724     0.0014     0.0023    -0.0031     0.0059     0.5340
            725     0.0011     0.0020    -0.0029     0.0051     0.3976
            726     0.0017     0.0021    -0.0024     0.0057     0.5676
            727     0.0000     0.0020    -0.0039     0.0039     0.1577
            728     0.0007     0.0020    -0.0032     0.0046     0.2931
            729     0.0024     0.0020    -0.0015     0.0064     0.8451
            730     0.0009     0.0020    -0.0031     0.0048     0.3287
            731     0.0018     0.0020    -0.0021     0.0058     0.6169
            732     0.0003     0.0020    -0.0036     0.0042     0.2025
            733     0.0004     0.0020    -0.0035     0.0043     0.2205
            734     0.0018     0.0020    -0.0021     0.0058     0.6229
            735     0.0029     0.0020    -0.0011     0.0069     0.9745
            736     0.0053     0.0021     0.0012     0.0095     0.2394
            737     0.0002     0.0020    -0.0037     0.0041     0.1875
            738     0.0002     0.0020    -0.0037     0.0041     0.1908
            739     0.0003     0.0020    -0.0036     0.0042     0.2077
            740     0.0000     0.0020    -0.0038     0.0039     0.1606
            741    -0.0000     0.0020    -0.0039     0.0039     0.1516
            742     0.0015     0.0020    -0.0024     0.0054     0.5046
            743     0.0027     0.0021    -0.0014     0.0067     0.9427
            744     0.0008     0.0020    -0.0031     0.0047     0.3170
            745     0.0043     0.0021     0.0001     0.0085     0.4882
            746     0.0006     0.0020    -0.0033     0.0045     0.2599
            747     0.0032     0.0020    -0.0008     0.0072     0.8682
            748     0.0003     0.0020    -0.0036     0.0042     0.2072
            749     0.0071     0.0022     0.0028     0.0114     0.0535     *
            750     0.0009     0.0020    -0.0030     0.0048     0.3310
            751     0.0020     0.0021    -0.0021     0.0061     0.6921
            752     0.0026     0.0020    -0.0013     0.0065     0.9138
            753     0.0005     0.0020    -0.0034     0.0044     0.2337
            754     0.0008     0.0020    -0.0032     0.0047     0.3092
            755    -0.0000     0.0020    -0.0039     0.0038     0.1466
            756     0.0017     0.0020    -0.0022     0.0056     0.5793
            757     0.0002     0.0020    -0.0037     0.0041     0.1878
            758     0.0006     0.0020    -0.0033     0.0045     0.2556
            759     0.0000     0.0020    -0.0039     0.0039     0.1555
            760     0.0010     0.0020    -0.0030     0.0050     0.3736
            761    -0.0000     0.0020    -0.0039     0.0038     0.1476
            762     0.0005     0.0020    -0.0034     0.0044     0.2412
            763     0.0017     0.0020    -0.0023     0.0056     0.5614
            764     0.0026     0.0021    -0.0016     0.0068     0.9197
            765     0.0006     0.0020    -0.0033     0.0045     0.2606
            766     0.0002     0.0020    -0.0037     0.0041     0.1791
            767     0.0029     0.0020    -0.0010     0.0069     0.9634
            768     0.0035     0.0023    -0.0010     0.0079     0.7830
            769     0.0008     0.0020    -0.0032     0.0047     0.2991
            770     0.0012     0.0020    -0.0028     0.0053     0.4382
            771     0.0002     0.0020    -0.0037     0.0041     0.1801
            772     0.0008     0.0020    -0.0031     0.0048     0.3174
            773     0.0006     0.0020    -0.0033     0.0045     0.2590
            774     0.0013     0.0020    -0.0026     0.0053     0.4547
            775     0.0025     0.0021    -0.0016     0.0065     0.8703
            776     0.0005     0.0020    -0.0034     0.0044     0.2494
            777     0.0027     0.0020    -0.0012     0.0067     0.9615
            778     0.0000     0.0020    -0.0039     0.0039     0.1554
            779     0.0027     0.0020    -0.0013     0.0067     0.9391
            780     0.0011     0.0020    -0.0028     0.0051     0.3933
            781     0.0001     0.0020    -0.0038     0.0040     0.1671
            782     0.0005     0.0020    -0.0035     0.0044     0.2429
            783     0.0008     0.0020    -0.0031     0.0047     0.3111
            784     0.0009     0.0020    -0.0030     0.0048     0.3406
            785    -0.0000     0.0020    -0.0039     0.0039     0.1482
            786     0.0023     0.0021    -0.0018     0.0064     0.7846
            787     0.0003     0.0020    -0.0036     0.0042     0.2097
            788     0.0000     0.0020    -0.0039     0.0039     0.1592
            789     0.0055     0.0022     0.0012     0.0098     0.2259
            790     0.0014     0.0020    -0.0026     0.0054     0.4892
            791     0.0028     0.0021    -0.0013     0.0069     0.9918
            792    -0.0001     0.0020    -0.0040     0.0038     0.1436
            793     0.0011     0.0020    -0.0028     0.0050     0.3956
            794     0.0018     0.0022    -0.0026     0.0062     0.6540
            795    -0.0000     0.0020    -0.0039     0.0039     0.1493
            796     0.0005     0.0020    -0.0034     0.0044     0.2499
            797     0.0012     0.0020    -0.0028     0.0052     0.4157
            798     0.0002     0.0020    -0.0037     0.0040     0.1769
            799    -0.0000     0.0020    -0.0039     0.0039     0.1505
            800     0.0001     0.0020    -0.0037     0.0040     0.1753
            801     0.0006     0.0020    -0.0033     0.0045     0.2607
            802     0.0004     0.0020    -0.0035     0.0042     0.2127
            803     0.0020     0.0021    -0.0021     0.0060     0.6738
            804     0.0000     0.0020    -0.0039     0.0039     0.1577
            805     0.0004     0.0020    -0.0035     0.0043     0.2248
            806     0.0348     0.0038     0.0273     0.0423     0.0000   ***
            807     0.0244     0.0037     0.0172     0.0316     0.0000   ***
            808     0.0010     0.0020    -0.0029     0.0049     0.3634
            809     0.0004     0.0020    -0.0035     0.0043     0.2249
            810     0.0028     0.0020    -0.0011     0.0068     0.9991
            811     0.0006     0.0020    -0.0033     0.0045     0.2619
            812     0.0000     0.0020    -0.0038     0.0039     0.1601
            813     0.0022     0.0020    -0.0018     0.0062     0.7477
            814     0.0003     0.0020    -0.0036     0.0042     0.2109
            815     0.0272     0.0036     0.0202     0.0342     0.0000   ***
            816     0.0323     0.0039     0.0246     0.0399     0.0000   ***
            817     0.0007     0.0020    -0.0032     0.0046     0.2755
            818     0.0004     0.0020    -0.0035     0.0043     0.2303
            819     0.0024     0.0020    -0.0016     0.0063     0.8164
            820     0.0030     0.0021    -0.0011     0.0071     0.9386
            821     0.0134     0.0025     0.0085     0.0182     0.0000   ***
            822     0.0063     0.0021     0.0021     0.0104     0.1080
            823     0.0003     0.0020    -0.0036     0.0042     0.2043
            824     0.0002     0.0020    -0.0037     0.0041     0.1869
            825     0.0036     0.0020    -0.0004     0.0076     0.6898
            826     0.0059     0.0022     0.0016     0.0101     0.1665
            827     0.0030     0.0021    -0.0011     0.0071     0.9421
            828     0.0001     0.0020    -0.0038     0.0040     0.1723
            829     0.0005     0.0020    -0.0034     0.0044     0.2466
            830     0.0001     0.0020    -0.0038     0.0040     0.1631
            831     0.0012     0.0020    -0.0028     0.0051     0.3998
==============================================================================
Significant units: 7 / 832
---
Signif. codes:  0 '***' 0.01 '**' 0.05 '*' 0.1 ' ' 1
==============================================================================

Group Importance

[8]:
res_df = fdfi_estimator.conf_int(
    alpha=0.05,
    target="X",
    groups=df_groups,
    threshold_null=True,
    var_floor_c=0.1,
    var_floor_method="fixed",
    margin=0.0,
    margin_method="fixed",
    alternative="two-sided",
    multitest_method="bonferroni",
    verbose=False,
)
res_df = pd.DataFrame({
    "group":       res_df["groups"],
    "importance":  res_df["score"],
    "se":          res_df["se"],
    "zscore":      res_df["zscore"],
    "ci_lower":    res_df["ci_lower"],
    "ci_upper":    res_df["ci_upper"],
    "p_value":     res_df["pvalue"],
    "p_value_adj": res_df.get("pvalue_adj", res_df["pvalue"]),
    "reject_null": res_df["reject_null"],
})

Group Summary Table

[9]:
print("=== X-space group summary ===")
_ = fdfi_estimator.summary(
    alpha=0.05,
    target="X",
    groups=df_groups,
    threshold_null=True,
    var_floor_c=0.1,
    var_floor_method="fixed",
    margin=0.0,
    margin_method="fixed",
    alternative="two-sided",
    multitest_method="bonferroni",
)
print("\n=== Z-space group summary ===")
_ = fdfi_estimator.summary(
    alpha=0.05,
    target="Z",
    groups=df_groups,
    threshold_null=True,
    var_floor_c=0.1,
    var_floor_method="fixed",
    margin=0.0,
    margin_method="fixed",
    alternative="two-sided",
    multitest_method="bonferroni",
)

=== X-space group summary ===
==============================================================================
Feature Importance Results
==============================================================================
Method: EOTExplainer
Number of units: 14
Significance level: 0.05
Alternative: two-sided
Multiple testing: bonferroni
Margin method: fixed
------------------------------------------------------------------------------
          Group   Estimate    Std Err   CI Lower   CI Upper  Adj P-val   Sig
------------------------------------------------------------------------------
          cd4bs     0.1073     0.0097     0.0883     0.1262     0.0000   ***
          covar     0.2089     0.0161     0.1774     0.2403     0.0000   ***
      cysteines     0.0119     0.0042     0.0037     0.0201     0.0616     *
            esa     0.0983     0.0088     0.0810     0.1156     0.0000   ***
           geog     0.0031     0.0041    -0.0048     0.0111     1.0000
       geometry     0.0359     0.0050     0.0262     0.0456     0.0000   ***
          glyco     0.0541     0.0058     0.0428     0.0654     0.0000   ***
           gp41     0.0270     0.0048     0.0176     0.0364     0.0000   ***
           pngs     0.1721     0.0140     0.1447     0.1995     0.0000   ***
   pngs_novrc01     0.0867     0.0069     0.0732     0.1002     0.0000   ***
        sequons     0.0372     0.0049     0.0275     0.0468     0.0000   ***
    steric_bulk     0.0064     0.0041    -0.0016     0.0145     1.0000
        subtype     0.0087     0.0041     0.0006     0.0167     0.4937
          vrc01     0.1163     0.0100     0.0966     0.1360     0.0000   ***
==============================================================================
Significant units: 10 / 14
---
Signif. codes:  0 '***' 0.01 '**' 0.05 '*' 0.1 ' ' 1
==============================================================================

=== Z-space group summary ===
==============================================================================
Feature Importance Results
==============================================================================
Method: EOTExplainer
Number of units: 14
Significance level: 0.05
Alternative: two-sided
Multiple testing: bonferroni
Margin method: fixed
------------------------------------------------------------------------------
          Group   Estimate    Std Err   CI Lower   CI Upper  Adj P-val   Sig
------------------------------------------------------------------------------
          cd4bs     0.0915     0.0096     0.0727     0.1102     0.0000   ***
          covar     0.1943     0.0163     0.1624     0.2262     0.0000   ***
      cysteines     0.0202     0.0045     0.0114     0.0290     0.0001   ***
            esa     0.0841     0.0086     0.0672     0.1010     0.0000   ***
           geog     0.0019     0.0041    -0.0061     0.0098     1.0000
       geometry     0.0659     0.0072     0.0519     0.0800     0.0000   ***
          glyco     0.0405     0.0058     0.0291     0.0519     0.0000   ***
           gp41     0.0231     0.0049     0.0134     0.0328     0.0000   ***
           pngs     0.1471     0.0137     0.1202     0.1739     0.0000   ***
   pngs_novrc01     0.0950     0.0076     0.0801     0.1100     0.0000   ***
        sequons     0.0666     0.0071     0.0527     0.0804     0.0000   ***
    steric_bulk     0.0125     0.0043     0.0040     0.0209     0.0521     *
        subtype     0.0054     0.0042    -0.0028     0.0135     1.0000
          vrc01     0.0988     0.0098     0.0796     0.1180     0.0000   ***
==============================================================================
Significant units: 11 / 14
---
Signif. codes:  0 '***' 0.01 '**' 0.05 '*' 0.1 ' ' 1
==============================================================================

Group Mapping

[10]:
group_mapping = pd.DataFrame({
    "group_num": range(1, 15),
    "group": [
        "vrc01", "cd4bs", "esa", "glyco", "covar", "pngs", "gp41",
        "pngs_novrc01", "subtype", "sequons", "geometry", "cysteines",
        "steric_bulk", "geog"
    ],
    "description": [
        "VRC01 binding footprint",
        "CD4 binding sites",
        "Sites with sufficient exposed surface area",
        "Sites identified as important for glycosylation",
        "Sites with residues that covary with\nthe VRC01 binding footprint",
        "Sites associated with VRC01-specific\npotential N-linked glycosylation (PNGS) effects",
        "gp41 sites important for VRC01 binding",
        "Sites for indicating N-linked glycosylation",
        "Majority virus subtypes",
        "Region-specific counts of PNGS",
        "Viral geometry",
        "Cysteine counts",
        "Steric bulk at critical locations",
        "Geographic confounders",
    ],
})

Group Importance Plot

[11]:
DATASET_LABELS = {
    "sens50": "Sensitivity 50",
    "sens80": "Sensitivity 80",
    "ic50": "IC50 Censored",
}
dataset_label = DATASET_LABELS.get(outcome, outcome)

group_df_sorted = res_df.sort_values("importance", ascending=True).reset_index(drop=True)
group_df_sorted = group_df_sorted.merge(group_mapping, on="group", how="left")

fig, axes = plt.subplots(1, 3, figsize=(18, 6), gridspec_kw={"width_ratios": [3, 3, 3]})
fig.suptitle(
    f"{dataset_label} ({outcome}) - EOT FDFI Group Importance",
    fontsize=22,
    y=1.04,
)

group_numbers = list(group_df_sorted["group_num"])

ax1 = axes[0]
ax1.barh(
    range(len(group_df_sorted)),
    group_df_sorted["importance"],
    xerr=group_df_sorted["se"],
    error_kw=dict(capsize=5),
    alpha=0.7,
    color="steelblue",
)
ax1.set_yticks(range(len(group_df_sorted)))
ax1.set_yticklabels(group_numbers, fontsize=12)
ax1.set_xlabel("Group Importance", fontsize=16)
ax1.set_title("Feature Group Importance (EOT FDFI)", fontsize=18)
ax1.set_ylabel("Group Number", fontsize=16)
ax1.grid(axis="x", alpha=0.3)

for i, (_, row) in enumerate(group_df_sorted.iterrows()):
    if row["reject_null"]:
        ax1.text(
            row["importance"] + row["se"] + 0.001,
            i,
            "*",
            va="center",
            fontweight="bold",
            color="red",
        )

ax2 = axes[1]
colors = ["red" if reject_null else "gray" for reject_null in group_df_sorted["reject_null"]]
ax2.barh(range(len(group_df_sorted)), group_df_sorted["zscore"], alpha=0.7, color=colors)
ax2.set_yticks(range(len(group_df_sorted)))
ax2.set_yticklabels(group_numbers, fontsize=12)
ax2.set_xlabel("Z-score", fontsize=16)
ax2.set_title("Feature Group Z-scores", fontsize=18)
ax2.grid(axis="x", alpha=0.3)
ax2.axvline(x=1.96, color="red", linestyle="--", linewidth=2, alpha=0.7, label="p=0.05")
ax2.legend(fontsize=12)

ax3 = axes[2]
ax3.set_xlim(0, 1)
ax3.set_ylim(-0.5, len(group_df_sorted) - 0.5)

for i, (_, row) in enumerate(group_df_sorted.iterrows()):
    group_name = row["group"]
    display_name = row["description"] if pd.notna(row["description"]) else group_name
    text_color = "red" if row["reject_null"] else "gray"

    ax3.text(
        0.02,
        i,
        f"{int(row['group_num']):2d}.",
        va="center",
        ha="left",
        fontsize=14,
        fontweight="bold",
        color="black",
    )
    ax3.text(
        0.09,
        i,
        display_name,
        va="center",
        ha="left",
        fontsize=12,
        color=text_color,
    )

ax3.set_yticks([])
ax3.set_xticks([])
ax3.set_title("Feature Group Annotations", fontsize=18)
for spine in ax3.spines.values():
    spine.set_visible(False)

plt.tight_layout(rect=[0, 0, 1, 0.95])
plt.show()

../_images/case_studies_eot_case_study_sens50_18_0.png

Summary

This notebook applies EOT FDFI (Entropic Optimal Transport Disentangled Feature Importance) with 5-fold cross-fitting to the sens50 HIV neutralization dataset (d=832 binary features, n≈300).

Why EOT over FlowMatching?
FlowExplainer X-space attribution relies on the flow Jacobian H = dX/dZ. For binary high-d data (d >> n), H≈I (near-identity), making X-space DFI unreliable. EOTExplainer uses an analytical whitening map and coupling moments — no Jacobian issues.
Results (α = 0.05, Bonferroni correction over 14 groups):
See the group summary table and plot above for significant feature groups.
[12]:
print("=== Group-level results (matching DFI paper) ===")
print(f"{'Group':<20} {'Importance':>12} {'SE':>10} {'Z-score':>10} {'Significant':>12}")
print("-" * 70)
for _, row in res_df.sort_values("zscore", ascending=False).iterrows():
    sig = "***" if row["reject_null"] else ""
    print(f"{row['group']:<20} {row['importance']:>12.4f} {row['se']:>10.4f} {row['zscore']:>10.2f} {sig:>12}")

n_sig = res_df["reject_null"].sum()
print(f"\nSignificant groups: {n_sig}/{len(res_df)} (Bonferroni alpha=0.05)")
print(f"Z-score range: {res_df['zscore'].min():.2f} to {res_df['zscore'].max():.2f}")

=== Group-level results (matching DFI paper) ===
Group                  Importance         SE    Z-score  Significant
----------------------------------------------------------------------
covar                      0.2089     0.0161      13.01          ***
pngs_novrc01               0.0867     0.0069      12.61          ***
pngs                       0.1721     0.0140      12.29          ***
vrc01                      0.1163     0.0100      11.59          ***
esa                        0.0983     0.0088      11.15          ***
cd4bs                      0.1073     0.0097      11.09          ***
glyco                      0.0541     0.0058       9.37          ***
sequons                    0.0372     0.0049       7.54          ***
geometry                   0.0359     0.0050       7.23          ***
gp41                       0.0270     0.0048       5.64          ***
cysteines                  0.0119     0.0042       2.85
subtype                    0.0087     0.0041       2.11
steric_bulk                0.0064     0.0041       1.57
geog                       0.0031     0.0041       0.78

Significant groups: 10/14 (Bonferroni alpha=0.05)
Z-score range: 0.78 to 13.01