Starting sensitivity analyses...
Loading input datasets...
Loading heterogeneity metrics from: outputs/step3_heterogeneity_metrics_20250707_115126.csv
Loading battery data from: battery26_df.csv
Heterogeneity metrics shape: (1083, 34)
Heterogeneity metrics columns: ['user_id', 'age', 'gender', 'education_level', 'country', 'test_run_id', 'battery_id', 'time_of_day', 'grand_index', 'subtest_36_score', 'subtest_39_score', 'subtest_40_score', 'subtest_29_score', 'subtest_28_score', 'subtest_33_score', 'subtest_30_score', 'subtest_27_score', 'subtest_32_score', 'subtest_38_score', 'subtest_37_score', 'age_bin', 'percentile_36', 'percentile_39', 'percentile_40', 'percentile_29', 'percentile_28', 'percentile_33', 'percentile_30', 'percentile_27', 'percentile_32', 'percentile_38', 'percentile_37', 'percentile_range', 'percentile_iqr']
First 3 rows of heterogeneity metrics:
   user_id  age gender  ...  percentile_37 percentile_range  percentile_iqr
0    68983   50      m  ...      67.840376        44.366197       18.779343
1   106315   23      m  ...      60.410095        76.025237       32.255521
2   334338   60      m  ...      27.898551        65.217391       42.572464

[3 rows x 34 columns]
Battery data shape: (14811, 11)
Battery data columns: ['user_id', 'age', 'gender', 'education_level', 'country', 'test_run_id', 'battery_id', 'specific_subtest_id', 'raw_score', 'time_of_day', 'grand_index']
First 3 rows of battery data:
   user_id   age gender  ...  raw_score time_of_day  grand_index
0    68983  50.0      m  ...       10.0          13   106.315883
1    68983  50.0      m  ...       19.0          13   106.315883
2    68983  50.0      m  ...       28.0          13   106.315883

[3 rows x 11 columns]

Unique values for key experimental design parameters:
Education levels in heterogeneity data: ['1', '2', '3', '4', '5', '6', '7', '8']
Gender values in heterogeneity data: ['f', 'm']
Age bins in heterogeneity data: ['18-29', '30-39', '40-49', '50-59', '60-69', '70-99']
Countries in heterogeneity data: ['AU', 'CA', 'NZ', 'US']
Time of day values in heterogeneity data: ['0', '1', '10', '11', '12', '13', '14', '15', '16', '17', '18', '19', '2', '20', '21', '22', '23', '3', '4', '5', '6', '7', '8', '9']
Education levels in battery data: ['1.0', '2.0', '3.0', '4.0', '5.0', '6.0', '7.0', '8.0', '99.0', 'nan']
Gender values in battery data: ['f', 'm', 'nan']
Specific subtest IDs in battery data: ['27', '28', '29', '30', '32', '33', '36', '37', '38', '39', '40']
Countries in battery data: ['AU', 'CA', 'NZ', 'US']
Time of day values in battery data: ['0', '1', '10', '11', '12', '13', '14', '15', '16', '17', '18', '19', '2', '20', '21', '22', '23', '3', '4', '5', '6', '7', '8', '9']

Filtering out null values...
Heterogeneity data: 1083 -> 1083 rows after removing nulls
Battery data: 14811 -> 12012 rows after removing nulls and invalid education_level

============================================================

=== SENSITIVITY ANALYSIS A: Coefficient of Variation ===
Calculating coefficient of variation using columns: ['percentile_36', 'percentile_39', 'percentile_40', 'percentile_29', 'percentile_28', 'percentile_33', 'percentile_30', 'percentile_27', 'percentile_32', 'percentile_38', 'percentile_37']
Coefficient of variation statistics:
Mean: 0.5449
Std: 0.1978
Min: 0.0831
Max: 1.2671
First 2 rows of coefficient of variation analysis:
   user_id  age  ... percentile_iqr  coefficient_of_variation
0    68983   50  ...      18.779343                  0.220618
1   106315   23  ...      32.255521                  0.488243

[2 rows x 13 columns]
Saved coefficient of variation analysis to: outputs/step6_sensitivity_coefficient_variation_20250707_125813.csv

--- Running regression analysis for Coefficient_of_Variation ---
Regression data shape: (1083, 13)
Dependent variable 'coefficient_of_variation' statistics:
Mean: 0.5449
Std: 0.1979
Min: 0.0831
Max: 1.2671
Using original education variable with level 1 as reference for CoV analysis
Regression formula: coefficient_of_variation ~ C(education_level, Treatment(1)) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                               OLS Regression Results                               
====================================================================================
Dep. Variable:     coefficient_of_variation   R-squared:                       0.060
Model:                                  OLS   Adj. R-squared:                  0.029
Method:                       Least Squares   F-statistic:                     1.926
Date:                      Mon, 07 Jul 2025   Prob (F-statistic):            0.00107
Time:                              12:58:13   Log-Likelihood:                 252.27
No. Observations:                      1083   AIC:                            -432.5
Df Residuals:                          1047   BIC:                            -253.0
Df Model:                                35                                         
Covariance Type:                  nonrobust                                         
=========================================================================================================
                                            coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------------------
Intercept                                 0.5621      0.088      6.368      0.000       0.389       0.735
C(education_level, Treatment(1))[T.2]     0.0547      0.069      0.792      0.428      -0.081       0.190
C(education_level, Treatment(1))[T.3]    -0.0139      0.067     -0.205      0.837      -0.146       0.118
C(education_level, Treatment(1))[T.4]    -0.0506      0.067     -0.756      0.450      -0.182       0.081
C(education_level, Treatment(1))[T.5]    -0.0867      0.070     -1.231      0.218      -0.225       0.051
C(education_level, Treatment(1))[T.6]    -0.0965      0.068     -1.418      0.156      -0.230       0.037
C(education_level, Treatment(1))[T.7]    -0.0778      0.079     -0.987      0.324      -0.233       0.077
C(education_level, Treatment(1))[T.8]    -0.0538      0.071     -0.763      0.446      -0.192       0.085
C(gender)[T.m]                           -0.0128      0.013     -1.006      0.315      -0.038       0.012
C(country)[T.CA]                         -0.0122      0.031     -0.393      0.694      -0.073       0.049
C(country)[T.NZ]                          0.0236      0.060      0.394      0.693      -0.094       0.141
C(country)[T.US]                         -0.0194      0.026     -0.749      0.454      -0.070       0.031
C(time_of_day)[T.1]                       0.1011      0.088      1.143      0.253      -0.072       0.275
C(time_of_day)[T.2]                       0.1719      0.085      2.022      0.043       0.005       0.339
C(time_of_day)[T.3]                       0.0814      0.097      0.841      0.401      -0.109       0.272
C(time_of_day)[T.4]                      -0.0097      0.083     -0.117      0.907      -0.172       0.152
C(time_of_day)[T.5]                       0.0129      0.082      0.156      0.876      -0.149       0.175
C(time_of_day)[T.6]                       0.0440      0.080      0.549      0.583      -0.113       0.201
C(time_of_day)[T.7]                       0.0119      0.068      0.174      0.862      -0.122       0.146
C(time_of_day)[T.8]                       0.0458      0.062      0.742      0.458      -0.075       0.167
C(time_of_day)[T.9]                       0.0220      0.060      0.365      0.715      -0.096       0.140
C(time_of_day)[T.10]                      0.0312      0.058      0.536      0.592      -0.083       0.145
C(time_of_day)[T.11]                      0.0109      0.059      0.183      0.855      -0.106       0.128
C(time_of_day)[T.12]                      0.0157      0.059      0.266      0.790      -0.100       0.131
C(time_of_day)[T.13]                      0.0065      0.060      0.107      0.914      -0.112       0.125
C(time_of_day)[T.14]                      0.0347      0.060      0.580      0.562      -0.083       0.152
C(time_of_day)[T.15]                     -0.0242      0.060     -0.405      0.686      -0.142       0.093
C(time_of_day)[T.16]                      0.0535      0.061      0.878      0.380      -0.066       0.173
C(time_of_day)[T.17]                      0.0515      0.060      0.853      0.394      -0.067       0.170
C(time_of_day)[T.18]                      0.0399      0.061      0.658      0.511      -0.079       0.159
C(time_of_day)[T.19]                      0.0672      0.061      1.108      0.268      -0.052       0.186
C(time_of_day)[T.20]                      0.0226      0.059      0.383      0.702      -0.093       0.138
C(time_of_day)[T.21]                      0.0289      0.060      0.482      0.630      -0.089       0.146
C(time_of_day)[T.22]                      0.0567      0.060      0.951      0.342      -0.060       0.174
C(time_of_day)[T.23]                      0.0282      0.063      0.445      0.656      -0.096       0.153
age                                       0.0005      0.000      1.096      0.273      -0.000       0.001
==============================================================================
Omnibus:                       75.661   Durbin-Watson:                   1.960
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               91.496
Skew:                           0.655   Prob(JB):                     1.36e-20
Kurtosis:                       3.556   Cond. No.                     2.04e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.04e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0605
Adjusted R-squared: 0.0291
F-statistic: 1.9259, p-value: 0.0011

--- Multicollinearity Diagnostics (VIF) ---
                                 variable        VIF
0   C(education_level, Treatment(1))[T.2]   6.021373
1   C(education_level, Treatment(1))[T.3]  14.185478
2   C(education_level, Treatment(1))[T.4]  23.138127
3   C(education_level, Treatment(1))[T.5]   4.304326
4   C(education_level, Treatment(1))[T.6]  11.861339
5   C(education_level, Treatment(1))[T.7]   2.329007
6   C(education_level, Treatment(1))[T.8]   4.885999
7                          C(gender)[T.m]   2.255811
8                        C(country)[T.CA]   2.737306
9                        C(country)[T.NZ]   1.195931
10                       C(country)[T.US]  15.479981
11                    C(time_of_day)[T.1]   1.405915
12                    C(time_of_day)[T.2]   1.445322
13                    C(time_of_day)[T.3]   1.299612
14                    C(time_of_day)[T.4]   1.506470
15                    C(time_of_day)[T.5]   1.501194
16                    C(time_of_day)[T.6]   1.555474
17                    C(time_of_day)[T.7]   2.096877
18                    C(time_of_day)[T.8]   3.319789
19                    C(time_of_day)[T.9]   3.884454
20                   C(time_of_day)[T.10]   5.601183
21                   C(time_of_day)[T.11]   4.310445
22                   C(time_of_day)[T.12]   4.763198
23                   C(time_of_day)[T.13]   3.918558
24                   C(time_of_day)[T.14]   4.058727
25                   C(time_of_day)[T.15]   4.168011
26                   C(time_of_day)[T.16]   3.554990
27                   C(time_of_day)[T.17]   3.826049
28                   C(time_of_day)[T.18]   3.727378
29                   C(time_of_day)[T.19]   3.796695
30                   C(time_of_day)[T.20]   4.631166
31                   C(time_of_day)[T.21]   4.114844
32                   C(time_of_day)[T.22]   4.220760
33                   C(time_of_day)[T.23]   2.725121
34                                    age   9.870055
Shapiro-Wilk normality test: W = 0.9743, p = 0.0000
Breusch-Pagan heteroscedasticity test: LM = 43.8389, p = 0.1453

============================================================

=== SENSITIVITY ANALYSIS B: Collapsed Education Variable ===
Education level mapping:
   education_level education_collapsed  count
0                1                 Low      9
1                2                 Low     95
2                3              Medium    240
3                4              Medium    396
4                5                High     63
5                6                High    190
6                7                High     22
7                8              Medium     68
Distribution of collapsed education levels:
education_collapsed
Medium    704
High      275
Low       104
Name: count, dtype: int64
First 2 rows of collapsed education analysis:
   user_id  age gender  ...  percentile_range percentile_iqr  education_collapsed
0    68983   50      m  ...         44.366197      18.779343                 High
1   106315   23      m  ...         76.025237      32.255521               Medium

[2 rows x 13 columns]
Saved collapsed education analysis to: outputs/step6_sensitivity_collapsed_education_20250707_125813.csv

--- Running regression analysis for Collapsed_Education_Range ---
Regression data shape: (1083, 13)
Dependent variable 'percentile_range' statistics:
Mean: 74.6425
Std: 13.6713
Min: 20.0000
Max: 98.9130
Using collapsed education variable with 'Low' as reference
Regression formula: percentile_range ~ C(education_collapsed, Treatment("Low")) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                            OLS Regression Results                            
==============================================================================
Dep. Variable:       percentile_range   R-squared:                       0.021
Model:                            OLS   Adj. R-squared:                 -0.007
Method:                 Least Squares   F-statistic:                    0.7381
Date:                Mon, 07 Jul 2025   Prob (F-statistic):              0.846
Time:                        12:58:27   Log-Likelihood:                -4357.3
No. Observations:                1083   AIC:                             8777.
Df Residuals:                    1052   BIC:                             8931.
Df Model:                          30                                         
Covariance Type:            nonrobust                                         
======================================================================================================================
                                                         coef    std err          t      P>|t|      [0.025      0.975]
----------------------------------------------------------------------------------------------------------------------
Intercept                                             72.4918      4.401     16.471      0.000      63.856      81.128
C(education_collapsed, Treatment("Low"))[T.High]      -0.9094      1.625     -0.560      0.576      -4.098       2.279
C(education_collapsed, Treatment("Low"))[T.Medium]    -1.0677      1.471     -0.726      0.468      -3.953       1.818
C(gender)[T.m]                                        -0.3997      0.896     -0.446      0.656      -2.158       1.358
C(country)[T.CA]                                       4.2313      2.182      1.939      0.053      -0.050       8.513
C(country)[T.NZ]                                      11.7106      4.213      2.779      0.006       3.443      19.978
C(country)[T.US]                                       2.7958      1.797      1.556      0.120      -0.730       6.322
C(time_of_day)[T.1]                                   -6.4678      6.194     -1.044      0.297     -18.622       5.687
C(time_of_day)[T.2]                                    2.0248      5.970      0.339      0.735      -9.690      13.740
C(time_of_day)[T.3]                                    1.7061      6.813      0.250      0.802     -11.663      15.075
C(time_of_day)[T.4]                                   -2.7653      5.804     -0.476      0.634     -14.155       8.624
C(time_of_day)[T.5]                                   -1.5789      5.790     -0.273      0.785     -12.940       9.783
C(time_of_day)[T.6]                                    0.7010      5.645      0.124      0.901     -10.376      11.778
C(time_of_day)[T.7]                                   -3.4557      4.795     -0.721      0.471     -12.864       5.953
C(time_of_day)[T.8]                                    1.0934      4.340      0.252      0.801      -7.422       9.609
C(time_of_day)[T.9]                                   -1.0235      4.244     -0.241      0.809      -9.351       7.304
C(time_of_day)[T.10]                                  -0.5751      4.092     -0.141      0.888      -8.604       7.454
C(time_of_day)[T.11]                                  -0.6765      4.174     -0.162      0.871      -8.866       7.513
C(time_of_day)[T.12]                                  -0.1889      4.143     -0.046      0.964      -8.319       7.941
C(time_of_day)[T.13]                                  -3.2867      4.243     -0.775      0.439     -11.613       5.040
C(time_of_day)[T.14]                                   1.3906      4.206      0.331      0.741      -6.863       9.644
C(time_of_day)[T.15]                                  -2.0761      4.203     -0.494      0.621     -10.323       6.170
C(time_of_day)[T.16]                                   1.6610      4.281      0.388      0.698      -6.740      10.062
C(time_of_day)[T.17]                                  -0.0961      4.243     -0.023      0.982      -8.422       8.230
C(time_of_day)[T.18]                                   0.0127      4.260      0.003      0.998      -8.347       8.372
C(time_of_day)[T.19]                                  -0.3110      4.264     -0.073      0.942      -8.679       8.057
C(time_of_day)[T.20]                                   0.1031      4.142      0.025      0.980      -8.024       8.230
C(time_of_day)[T.21]                                  -1.4157      4.209     -0.336      0.737      -9.675       6.844
C(time_of_day)[T.22]                                  -1.8648      4.188     -0.445      0.656     -10.083       6.354
C(time_of_day)[T.23]                                   0.2924      4.444      0.066      0.948      -8.427       9.012
age                                                    0.0234      0.030      0.785      0.432      -0.035       0.082
==============================================================================
Omnibus:                      113.953   Durbin-Watson:                   1.927
Prob(Omnibus):                  0.000   Jarque-Bera (JB):              150.202
Skew:                          -0.849   Prob(JB):                     2.42e-33
Kurtosis:                       3.666   Cond. No.                     2.03e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.03e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0206
Adjusted R-squared: -0.0073
F-statistic: 0.7381, p-value: 0.8465

--- Multicollinearity Diagnostics (VIF) ---
                                             variable        VIF
0    C(education_collapsed, Treatment("Low"))[T.High]   3.709820
1   C(education_collapsed, Treatment("Low"))[T.Med...   7.700243
2                                      C(gender)[T.m]   2.159101
3                                    C(country)[T.CA]   2.588447
4                                    C(country)[T.NZ]   1.178230
5                                    C(country)[T.US]  14.190781
6                                 C(time_of_day)[T.1]   1.189614
7                                 C(time_of_day)[T.2]   1.221544
8                                 C(time_of_day)[T.3]   1.144241
9                                 C(time_of_day)[T.4]   1.267839
10                                C(time_of_day)[T.5]   1.251107
11                                C(time_of_day)[T.6]   1.278700
12                                C(time_of_day)[T.7]   1.621237
13                                C(time_of_day)[T.8]   2.201937
14                                C(time_of_day)[T.9]   2.437089
15                               C(time_of_day)[T.10]   3.357503
16                               C(time_of_day)[T.11]   2.628044
17                               C(time_of_day)[T.12]   2.863068
18                               C(time_of_day)[T.13]   2.515702
19                               C(time_of_day)[T.14]   2.591989
20                               C(time_of_day)[T.15]   2.602565
21                               C(time_of_day)[T.16]   2.212734
22                               C(time_of_day)[T.17]   2.396589
23                               C(time_of_day)[T.18]   2.366956
24                               C(time_of_day)[T.19]   2.406890
25                               C(time_of_day)[T.20]   2.827896
26                               C(time_of_day)[T.21]   2.482775
27                               C(time_of_day)[T.22]   2.583749
28                               C(time_of_day)[T.23]   1.795676
29                                                age   9.307977
Shapiro-Wilk normality test: W = 0.9549, p = 0.0000
Breusch-Pagan heteroscedasticity test: LM = 29.0342, p = 0.5158

--- Running regression analysis for Collapsed_Education_IQR ---
Regression data shape: (1083, 13)
Dependent variable 'percentile_iqr' statistics:
Mean: 34.0592
Std: 11.6080
Min: 5.8360
Max: 73.4375
Using collapsed education variable with 'Low' as reference
Regression formula: percentile_iqr ~ C(education_collapsed, Treatment("Low")) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                            OLS Regression Results                            
==============================================================================
Dep. Variable:         percentile_iqr   R-squared:                       0.036
Model:                            OLS   Adj. R-squared:                  0.009
Method:                 Least Squares   F-statistic:                     1.314
Date:                Mon, 07 Jul 2025   Prob (F-statistic):              0.121
Time:                        12:58:33   Log-Likelihood:                -4171.5
No. Observations:                1083   AIC:                             8405.
Df Residuals:                    1052   BIC:                             8560.
Df Model:                          30                                         
Covariance Type:            nonrobust                                         
======================================================================================================================
                                                         coef    std err          t      P>|t|      [0.025      0.975]
----------------------------------------------------------------------------------------------------------------------
Intercept                                             30.5546      3.707      8.242      0.000      23.280      37.829
C(education_collapsed, Treatment("Low"))[T.High]      -0.5607      1.369     -0.410      0.682      -3.247       2.125
C(education_collapsed, Treatment("Low"))[T.Medium]    -0.3835      1.239     -0.310      0.757      -2.814       2.047
C(gender)[T.m]                                         1.6818      0.755      2.229      0.026       0.201       3.163
C(country)[T.CA]                                       4.5952      1.838      2.500      0.013       0.989       8.202
C(country)[T.NZ]                                       5.0293      3.549      1.417      0.157      -1.935      11.993
C(country)[T.US]                                       2.7978      1.514      1.848      0.065      -0.172       5.768
C(time_of_day)[T.1]                                   -2.4510      5.218     -0.470      0.639     -12.689       7.787
C(time_of_day)[T.2]                                   -8.2280      5.029     -1.636      0.102     -18.096       1.640
C(time_of_day)[T.3]                                    8.3999      5.739      1.464      0.144      -2.861      19.661
C(time_of_day)[T.4]                                   -6.5280      4.889     -1.335      0.182     -16.122       3.066
C(time_of_day)[T.5]                                    0.6508      4.877      0.133      0.894      -8.919      10.221
C(time_of_day)[T.6]                                    3.2755      4.755      0.689      0.491      -6.055      12.606
C(time_of_day)[T.7]                                    0.8857      4.039      0.219      0.826      -7.039       8.811
C(time_of_day)[T.8]                                    3.1512      3.655      0.862      0.389      -4.022      10.324
C(time_of_day)[T.9]                                    0.6816      3.575      0.191      0.849      -6.333       7.696
C(time_of_day)[T.10]                                   1.7681      3.447      0.513      0.608      -4.995       8.531
C(time_of_day)[T.11]                                   0.0094      3.516      0.003      0.998      -6.889       6.908
C(time_of_day)[T.12]                                  -1.7055      3.490     -0.489      0.625      -8.554       5.143
C(time_of_day)[T.13]                                  -0.5501      3.574     -0.154      0.878      -7.564       6.463
C(time_of_day)[T.14]                                   0.8670      3.543      0.245      0.807      -6.085       7.819
C(time_of_day)[T.15]                                   0.4955      3.540      0.140      0.889      -6.451       7.442
C(time_of_day)[T.16]                                   2.7340      3.606      0.758      0.449      -4.342       9.810
C(time_of_day)[T.17]                                   1.1248      3.574      0.315      0.753      -5.889       8.138
C(time_of_day)[T.18]                                  -0.6084      3.589     -0.170      0.865      -7.650       6.433
C(time_of_day)[T.19]                                   0.0111      3.592      0.003      0.998      -7.037       7.059
C(time_of_day)[T.20]                                   2.1733      3.489      0.623      0.533      -4.672       9.019
C(time_of_day)[T.21]                                  -1.1154      3.546     -0.315      0.753      -8.073       5.842
C(time_of_day)[T.22]                                  -1.8495      3.528     -0.524      0.600      -8.772       5.073
C(time_of_day)[T.23]                                   1.0276      3.743      0.275      0.784      -6.317       8.372
age                                                   -0.0038      0.025     -0.152      0.879      -0.053       0.045
==============================================================================
Omnibus:                        8.274   Durbin-Watson:                   2.013
Prob(Omnibus):                  0.016   Jarque-Bera (JB):                8.131
Skew:                           0.186   Prob(JB):                       0.0172
Kurtosis:                       2.797   Cond. No.                     2.03e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.03e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0361
Adjusted R-squared: 0.0086
F-statistic: 1.3142, p-value: 0.1209

--- Multicollinearity Diagnostics (VIF) ---
                                             variable        VIF
0    C(education_collapsed, Treatment("Low"))[T.High]   3.709820
1   C(education_collapsed, Treatment("Low"))[T.Med...   7.700243
2                                      C(gender)[T.m]   2.159101
3                                    C(country)[T.CA]   2.588447
4                                    C(country)[T.NZ]   1.178230
5                                    C(country)[T.US]  14.190781
6                                 C(time_of_day)[T.1]   1.189614
7                                 C(time_of_day)[T.2]   1.221544
8                                 C(time_of_day)[T.3]   1.144241
9                                 C(time_of_day)[T.4]   1.267839
10                                C(time_of_day)[T.5]   1.251107
11                                C(time_of_day)[T.6]   1.278700
12                                C(time_of_day)[T.7]   1.621237
13                                C(time_of_day)[T.8]   2.201937
14                                C(time_of_day)[T.9]   2.437089
15                               C(time_of_day)[T.10]   3.357503
16                               C(time_of_day)[T.11]   2.628044
17                               C(time_of_day)[T.12]   2.863068
18                               C(time_of_day)[T.13]   2.515702
19                               C(time_of_day)[T.14]   2.591989
20                               C(time_of_day)[T.15]   2.602565
21                               C(time_of_day)[T.16]   2.212734
22                               C(time_of_day)[T.17]   2.396589
23                               C(time_of_day)[T.18]   2.366956
24                               C(time_of_day)[T.19]   2.406890
25                               C(time_of_day)[T.20]   2.827896
26                               C(time_of_day)[T.21]   2.482775
27                               C(time_of_day)[T.22]   2.583749
28                               C(time_of_day)[T.23]   1.795676
29                                                age   9.307977
Shapiro-Wilk normality test: W = 0.9956, p = 0.0035
Breusch-Pagan heteroscedasticity test: LM = 24.4167, p = 0.7529

============================================================

=== SENSITIVITY ANALYSIS C: Alternative Outlier Cutoff (2.5 SD) ===
Filtered to 12012 rows with subtests of interest
Applying 2.5 SD outlier removal per subtest and age bin, removing participants with outlying scores on 2+ subtests...
Outlier removal: 12012 -> 11726 rows (286 outliers removed)
Calculating age-stratified percentiles...
Pivoting data to participant level...
Created unique participant info dataframe with 1066 participants
Merged participant info, final shape: (1066, 21)
Renamed 11 percentile columns
Calculating alternative heterogeneity metrics...
Found 11 valid percentile columns: ['percentile_36', 'percentile_39', 'percentile_40', 'percentile_29', 'percentile_28', 'percentile_33', 'percentile_30', 'percentile_27', 'percentile_32', 'percentile_38', 'percentile_37']
Alternative range statistics:
Mean: 80.5668
Std: 11.6056
Alternative IQR statistics:
Mean: 39.4503
Std: 12.9257
First 2 rows of alternative outlier analysis:
   user_id   age gender  ...  age_bin percentile_range_alt  percentile_iqr_alt
0   106315  23.0      m  ...    18-29            64.147910           34.003215
1   799395  20.0      m  ...    18-29            65.273312           38.344051

[2 rows x 12 columns]
Saved alternative outlier analysis to: outputs/step6_sensitivity_alternative_outliers_20250707_125813.csv

--- Running regression analysis for Alternative_Outliers_Range ---
Regression data shape: (1066, 12)
Dependent variable 'percentile_range_alt' statistics:
Mean: 80.5668
Std: 11.6111
Min: 34.0836
Max: 99.3939
Using original education variable with level 4 as reference
Regression formula: percentile_range_alt ~ C(education_level, Treatment(4)) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                             OLS Regression Results                             
================================================================================
Dep. Variable:     percentile_range_alt   R-squared:                       0.025
Model:                              OLS   Adj. R-squared:                 -0.008
Method:                   Least Squares   F-statistic:                    0.7628
Date:                  Mon, 07 Jul 2025   Prob (F-statistic):              0.839
Time:                          12:58:40   Log-Likelihood:                -4112.2
No. Observations:                  1066   AIC:                             8296.
Df Residuals:                      1030   BIC:                             8475.
Df Model:                            35                                         
Covariance Type:              nonrobust                                         
=========================================================================================================
                                            coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------------------
Intercept                                75.9110      3.737     20.315      0.000      68.578      83.243
C(education_level, Treatment(4))[T.1]     1.2060      4.008      0.301      0.764      -6.659       9.071
C(education_level, Treatment(4))[T.2]     2.6836      1.375      1.951      0.051      -0.015       5.382
C(education_level, Treatment(4))[T.3]     0.3704      0.974      0.380      0.704      -1.542       2.283
C(education_level, Treatment(4))[T.5]    -1.4887      1.625     -0.916      0.360      -4.678       1.700
C(education_level, Treatment(4))[T.6]    -0.4187      1.058     -0.396      0.692      -2.494       1.656
C(education_level, Treatment(4))[T.7]     0.3069      2.592      0.118      0.906      -4.780       5.394
C(education_level, Treatment(4))[T.8]    -0.0343      1.562     -0.022      0.982      -3.099       3.031
C(gender)[T.m]                            0.6972      0.769      0.906      0.365      -0.813       2.207
C(country)[T.CA]                          0.2355      1.883      0.125      0.901      -3.460       3.931
C(country)[T.NZ]                          2.2422      3.595      0.624      0.533      -4.812       9.296
C(country)[T.US]                          0.6242      1.575      0.396      0.692      -2.466       3.714
C(time_of_day)[T.1]                       7.3553      5.521      1.332      0.183      -3.479      18.189
C(time_of_day)[T.2]                       4.3516      5.265      0.826      0.409      -5.981      14.684
C(time_of_day)[T.3]                       5.4531      5.794      0.941      0.347      -5.916      16.822
C(time_of_day)[T.4]                      -1.2873      4.941     -0.261      0.795     -10.983       8.408
C(time_of_day)[T.5]                      -2.3392      4.926     -0.475      0.635     -12.006       7.327
C(time_of_day)[T.6]                       7.9649      4.797      1.660      0.097      -1.448      17.378
C(time_of_day)[T.7]                       2.9683      4.088      0.726      0.468      -5.053      10.989
C(time_of_day)[T.8]                       3.0280      3.690      0.821      0.412      -4.212      10.269
C(time_of_day)[T.9]                       3.2226      3.615      0.891      0.373      -3.872      10.317
C(time_of_day)[T.10]                      3.7142      3.482      1.067      0.286      -3.118      10.546
C(time_of_day)[T.11]                      2.7006      3.573      0.756      0.450      -4.311       9.712
C(time_of_day)[T.12]                      0.1676      3.525      0.048      0.962      -6.748       7.084
C(time_of_day)[T.13]                      1.3412      3.608      0.372      0.710      -5.739       8.421
C(time_of_day)[T.14]                      3.7370      3.580      1.044      0.297      -3.288      10.762
C(time_of_day)[T.15]                      2.9494      3.585      0.823      0.411      -4.085       9.984
C(time_of_day)[T.16]                      4.6283      3.641      1.271      0.204      -2.516      11.773
C(time_of_day)[T.17]                      5.7004      3.611      1.579      0.115      -1.386      12.787
C(time_of_day)[T.18]                      2.9419      3.637      0.809      0.419      -4.196      10.080
C(time_of_day)[T.19]                      1.7071      3.641      0.469      0.639      -5.438       8.852
C(time_of_day)[T.20]                      4.1580      3.537      1.176      0.240      -2.782      11.098
C(time_of_day)[T.21]                      2.0417      3.579      0.570      0.569      -4.982       9.065
C(time_of_day)[T.22]                      2.3218      3.567      0.651      0.515      -4.678       9.321
C(time_of_day)[T.23]                      3.8728      3.788      1.022      0.307      -3.561      11.307
age                                       0.0150      0.026      0.587      0.557      -0.035       0.065
==============================================================================
Omnibus:                       85.224   Durbin-Watson:                   2.023
Prob(Omnibus):                  0.000   Jarque-Bera (JB):              104.089
Skew:                          -0.745   Prob(JB):                     2.50e-23
Kurtosis:                       3.352   Cond. No.                     2.02e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.02e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0253
Adjusted R-squared: -0.0079
F-statistic: 0.7628, p-value: 0.8391

--- Multicollinearity Diagnostics (VIF) ---
                                 variable        VIF
0   C(education_level, Treatment(4))[T.1]   1.058866
1   C(education_level, Treatment(4))[T.2]   1.254032
2   C(education_level, Treatment(4))[T.3]   1.600989
3   C(education_level, Treatment(4))[T.5]   1.203425
4   C(education_level, Treatment(4))[T.6]   1.548582
5   C(education_level, Treatment(4))[T.7]   1.088137
6   C(education_level, Treatment(4))[T.8]   1.200901
7                          C(gender)[T.m]   2.180312
8                        C(country)[T.CA]   2.624559
9                        C(country)[T.NZ]   1.186098
10                       C(country)[T.US]  14.222172
11                    C(time_of_day)[T.1]   1.144529
12                    C(time_of_day)[T.2]   1.174799
13                    C(time_of_day)[T.3]   1.128384
14                    C(time_of_day)[T.4]   1.245183
15                    C(time_of_day)[T.5]   1.238673
16                    C(time_of_day)[T.6]   1.259312
17                    C(time_of_day)[T.7]   1.618339
18                    C(time_of_day)[T.8]   2.133488
19                    C(time_of_day)[T.9]   2.319091
20                   C(time_of_day)[T.10]   3.205099
21                   C(time_of_day)[T.11]   2.363599
22                   C(time_of_day)[T.12]   2.678629
23                   C(time_of_day)[T.13]   2.401266
24                   C(time_of_day)[T.14]   2.472513
25                   C(time_of_day)[T.15]   2.449567
26                   C(time_of_day)[T.16]   2.132241
27                   C(time_of_day)[T.17]   2.283463
28                   C(time_of_day)[T.18]   2.178123
29                   C(time_of_day)[T.19]   2.230953
30                   C(time_of_day)[T.20]   2.671651
31                   C(time_of_day)[T.21]   2.416819
32                   C(time_of_day)[T.22]   2.460812
33                   C(time_of_day)[T.23]   1.750201
34                                    age   9.315318
Shapiro-Wilk normality test: W = 0.9602, p = 0.0000
Breusch-Pagan heteroscedasticity test: LM = 35.3695, p = 0.4508

--- Running regression analysis for Alternative_Outliers_IQR ---
Regression data shape: (1066, 12)
Dependent variable 'percentile_iqr_alt' statistics:
Mean: 39.4503
Std: 12.9318
Min: 8.9416
Max: 78.3762
Using original education variable with level 4 as reference
Regression formula: percentile_iqr_alt ~ C(education_level, Treatment(4)) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                            OLS Regression Results                            
==============================================================================
Dep. Variable:     percentile_iqr_alt   R-squared:                       0.037
Model:                            OLS   Adj. R-squared:                  0.004
Method:                 Least Squares   F-statistic:                     1.124
Date:                Mon, 07 Jul 2025   Prob (F-statistic):              0.287
Time:                        12:58:55   Log-Likelihood:                -4220.7
No. Observations:                1066   AIC:                             8513.
Df Residuals:                    1030   BIC:                             8692.
Df Model:                          35                                         
Covariance Type:            nonrobust                                         
=========================================================================================================
                                            coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------------------
Intercept                                36.4261      4.137      8.805      0.000      28.308      44.544
C(education_level, Treatment(4))[T.1]    -0.2881      4.438     -0.065      0.948      -8.996       8.420
C(education_level, Treatment(4))[T.2]     2.8693      1.523      1.884      0.060      -0.119       5.857
C(education_level, Treatment(4))[T.3]     0.1063      1.079      0.099      0.922      -2.011       2.223
C(education_level, Treatment(4))[T.5]    -2.1596      1.799     -1.200      0.230      -5.690       1.371
C(education_level, Treatment(4))[T.6]    -1.9174      1.171     -1.638      0.102      -4.215       0.380
C(education_level, Treatment(4))[T.7]    -2.7476      2.870     -0.957      0.339      -8.380       2.884
C(education_level, Treatment(4))[T.8]     1.1846      1.729      0.685      0.494      -2.209       4.578
C(gender)[T.m]                            0.5897      0.852      0.692      0.489      -1.082       2.261
C(country)[T.CA]                          0.2601      2.085      0.125      0.901      -3.832       4.352
C(country)[T.NZ]                         -3.1584      3.980     -0.794      0.428     -10.968       4.651
C(country)[T.US]                         -0.2520      1.744     -0.145      0.885      -3.673       3.169
C(time_of_day)[T.1]                       1.6424      6.113      0.269      0.788     -10.352      13.637
C(time_of_day)[T.2]                       4.2802      5.830      0.734      0.463      -7.159      15.720
C(time_of_day)[T.3]                      13.0392      6.415      2.033      0.042       0.452      25.627
C(time_of_day)[T.4]                       2.0869      5.470      0.381      0.703      -8.647      12.821
C(time_of_day)[T.5]                      -4.4301      5.454     -0.812      0.417     -15.132       6.272
C(time_of_day)[T.6]                      -1.9124      5.311     -0.360      0.719     -12.334       8.509
C(time_of_day)[T.7]                      -0.0779      4.525     -0.017      0.986      -8.958       8.802
C(time_of_day)[T.8]                      -0.3984      4.085     -0.098      0.922      -8.415       7.618
C(time_of_day)[T.9]                       3.0580      4.003      0.764      0.445      -4.796      10.912
C(time_of_day)[T.10]                      1.1569      3.855      0.300      0.764      -6.407       8.721
C(time_of_day)[T.11]                      0.2411      3.956      0.061      0.951      -7.521       8.004
C(time_of_day)[T.12]                     -1.8724      3.902     -0.480      0.631      -9.529       5.785
C(time_of_day)[T.13]                      0.2686      3.995      0.067      0.946      -7.570       8.107
C(time_of_day)[T.14]                      3.3846      3.963      0.854      0.393      -4.393      11.162
C(time_of_day)[T.15]                     -0.1980      3.969     -0.050      0.960      -7.986       7.590
C(time_of_day)[T.16]                      2.1133      4.031      0.524      0.600      -5.796      10.023
C(time_of_day)[T.17]                      1.0296      3.998      0.258      0.797      -6.816       8.875
C(time_of_day)[T.18]                     -1.8090      4.027     -0.449      0.653      -9.711       6.093
C(time_of_day)[T.19]                      0.0215      4.031      0.005      0.996      -7.889       7.932
C(time_of_day)[T.20]                      0.4229      3.916      0.108      0.914      -7.260       8.106
C(time_of_day)[T.21]                      1.3986      3.963      0.353      0.724      -6.378       9.175
C(time_of_day)[T.22]                     -1.6908      3.949     -0.428      0.669      -9.440       6.059
C(time_of_day)[T.23]                      4.1312      4.194      0.985      0.325      -4.099      12.361
age                                       0.0599      0.028      2.115      0.035       0.004       0.115
==============================================================================
Omnibus:                       12.925   Durbin-Watson:                   2.042
Prob(Omnibus):                  0.002   Jarque-Bera (JB):               12.544
Skew:                           0.235   Prob(JB):                      0.00189
Kurtosis:                       2.750   Cond. No.                     2.02e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.02e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0368
Adjusted R-squared: 0.0040
F-statistic: 1.1237, p-value: 0.2865

--- Multicollinearity Diagnostics (VIF) ---
                                 variable        VIF
0   C(education_level, Treatment(4))[T.1]   1.058866
1   C(education_level, Treatment(4))[T.2]   1.254032
2   C(education_level, Treatment(4))[T.3]   1.600989
3   C(education_level, Treatment(4))[T.5]   1.203425
4   C(education_level, Treatment(4))[T.6]   1.548582
5   C(education_level, Treatment(4))[T.7]   1.088137
6   C(education_level, Treatment(4))[T.8]   1.200901
7                          C(gender)[T.m]   2.180312
8                        C(country)[T.CA]   2.624559
9                        C(country)[T.NZ]   1.186098
10                       C(country)[T.US]  14.222172
11                    C(time_of_day)[T.1]   1.144529
12                    C(time_of_day)[T.2]   1.174799
13                    C(time_of_day)[T.3]   1.128384
14                    C(time_of_day)[T.4]   1.245183
15                    C(time_of_day)[T.5]   1.238673
16                    C(time_of_day)[T.6]   1.259312
17                    C(time_of_day)[T.7]   1.618339
18                    C(time_of_day)[T.8]   2.133488
19                    C(time_of_day)[T.9]   2.319091
20                   C(time_of_day)[T.10]   3.205099
21                   C(time_of_day)[T.11]   2.363599
22                   C(time_of_day)[T.12]   2.678629
23                   C(time_of_day)[T.13]   2.401266
24                   C(time_of_day)[T.14]   2.472513
25                   C(time_of_day)[T.15]   2.449567
26                   C(time_of_day)[T.16]   2.132241
27                   C(time_of_day)[T.17]   2.283463
28                   C(time_of_day)[T.18]   2.178123
29                   C(time_of_day)[T.19]   2.230953
30                   C(time_of_day)[T.20]   2.671651
31                   C(time_of_day)[T.21]   2.416819
32                   C(time_of_day)[T.22]   2.460812
33                   C(time_of_day)[T.23]   1.750201
34                                    age   9.315318
Shapiro-Wilk normality test: W = 0.9943, p = 0.0004
Breusch-Pagan heteroscedasticity test: LM = 22.0822, p = 0.9561

============================================================

=== SENSITIVITY ANALYSIS D: Split-Half Reliability ===
Odd subtests: [36, 40, 28, 30, 32, 37]
Even subtests: [39, 29, 33, 27, 38]
Odd percentile columns: ['percentile_36', 'percentile_40', 'percentile_28', 'percentile_30', 'percentile_32', 'percentile_37']
Even percentile columns: ['percentile_39', 'percentile_29', 'percentile_33', 'percentile_27', 'percentile_38']
Split-half reliability for range: r = 0.0089, p = 0.7703
Split-half reliability for IQR: r = -0.0324, p = 0.2861
First 2 rows of split-half reliability analysis:
   user_id  age  ... odd_even_correlation_range  odd_even_correlation_iqr
0    68983   50  ...                   0.008883                 -0.032444
1   106315   23  ...                   0.008883                 -0.032444

[2 rows x 16 columns]
Saved split-half reliability analysis to: outputs/step6_split_half_reliability_20250707_125813.csv

--- Running regression analysis for Split_Half_Odd_Range ---
Regression data shape: (1083, 16)
Dependent variable 'odd_half_range' statistics:
Mean: 62.9879
Std: 17.9346
Min: 8.9202
Max: 97.9412
Using original education variable with level 4 as reference
Regression formula: odd_half_range ~ C(education_level, Treatment(4)) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                            OLS Regression Results                            
==============================================================================
Dep. Variable:         odd_half_range   R-squared:                       0.036
Model:                            OLS   Adj. R-squared:                  0.004
Method:                 Least Squares   F-statistic:                     1.119
Date:                Mon, 07 Jul 2025   Prob (F-statistic):              0.293
Time:                        12:59:07   Log-Likelihood:                -4642.7
No. Observations:                1083   AIC:                             9357.
Df Residuals:                    1047   BIC:                             9537.
Df Model:                          35                                         
Covariance Type:            nonrobust                                         
=========================================================================================================
                                            coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------------------
Intercept                                64.3874      5.714     11.268      0.000      53.175      75.600
C(education_level, Treatment(4))[T.1]    -7.7162      6.152     -1.254      0.210     -19.787       4.354
C(education_level, Treatment(4))[T.2]    -1.6922      2.079     -0.814      0.416      -5.771       2.386
C(education_level, Treatment(4))[T.3]    -1.0402      1.481     -0.702      0.483      -3.947       1.866
C(education_level, Treatment(4))[T.5]     1.7768      2.493      0.713      0.476      -3.115       6.669
C(education_level, Treatment(4))[T.6]     0.2704      1.618      0.167      0.867      -2.904       3.445
C(education_level, Treatment(4))[T.7]     6.0231      3.977      1.514      0.130      -1.782      13.828
C(education_level, Treatment(4))[T.8]     1.4234      2.380      0.598      0.550      -3.247       6.094
C(gender)[T.m]                            1.4699      1.171      1.256      0.210      -0.827       3.767
C(country)[T.CA]                          6.8672      2.860      2.401      0.017       1.255      12.479
C(country)[T.NZ]                         15.5602      5.505      2.827      0.005       4.759      26.361
C(country)[T.US]                          2.3681      2.377      0.996      0.319      -2.297       7.033
C(time_of_day)[T.1]                      -7.9899      8.122     -0.984      0.325     -23.927       7.947
C(time_of_day)[T.2]                      -7.5190      7.806     -0.963      0.336     -22.835       7.797
C(time_of_day)[T.3]                       7.7320      8.897      0.869      0.385      -9.725      25.189
C(time_of_day)[T.4]                      -7.5585      7.587     -0.996      0.319     -22.445       7.328
C(time_of_day)[T.5]                     -13.3223      7.564     -1.761      0.078     -28.165       1.520
C(time_of_day)[T.6]                      -4.0867      7.366     -0.555      0.579     -18.541      10.367
C(time_of_day)[T.7]                      -6.8404      6.276     -1.090      0.276     -19.155       5.474
C(time_of_day)[T.8]                      -3.1042      5.665     -0.548      0.584     -14.221       8.013
C(time_of_day)[T.9]                      -6.0581      5.542     -1.093      0.275     -16.932       4.816
C(time_of_day)[T.10]                     -2.9091      5.346     -0.544      0.586     -13.399       7.581
C(time_of_day)[T.11]                     -5.6390      5.458     -1.033      0.302     -16.349       5.071
C(time_of_day)[T.12]                     -5.0723      5.412     -0.937      0.349     -15.692       5.547
C(time_of_day)[T.13]                     -8.2869      5.540     -1.496      0.135     -19.157       2.583
C(time_of_day)[T.14]                     -4.0149      5.497     -0.730      0.465     -14.801       6.771
C(time_of_day)[T.15]                     -4.9961      5.490     -0.910      0.363     -15.769       5.777
C(time_of_day)[T.16]                     -1.8292      5.590     -0.327      0.744     -12.799       9.141
C(time_of_day)[T.17]                     -3.4606      5.545     -0.624      0.533     -14.341       7.420
C(time_of_day)[T.18]                     -7.5783      5.566     -1.362      0.174     -18.500       3.343
C(time_of_day)[T.19]                     -5.1819      5.569     -0.931      0.352     -16.109       5.745
C(time_of_day)[T.20]                     -2.1594      5.413     -0.399      0.690     -12.780       8.462
C(time_of_day)[T.21]                     -9.0587      5.496     -1.648      0.100     -19.843       1.726
C(time_of_day)[T.22]                     -6.0826      5.471     -1.112      0.266     -16.817       4.652
C(time_of_day)[T.23]                     -4.2510      5.817     -0.731      0.465     -15.665       7.163
age                                       0.0024      0.039      0.061      0.951      -0.074       0.079
==============================================================================
Omnibus:                       38.009   Durbin-Watson:                   1.921
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               38.995
Skew:                          -0.437   Prob(JB):                     3.41e-09
Kurtosis:                       2.686   Cond. No.                     2.03e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.03e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0361
Adjusted R-squared: 0.0038
F-statistic: 1.1189, p-value: 0.2927

--- Multicollinearity Diagnostics (VIF) ---
                                 variable        VIF
0   C(education_level, Treatment(4))[T.1]   1.057944
1   C(education_level, Treatment(4))[T.2]   1.255301
2   C(education_level, Treatment(4))[T.3]   1.615363
3   C(education_level, Treatment(4))[T.5]   1.201757
4   C(education_level, Treatment(4))[T.6]   1.545320
5   C(education_level, Treatment(4))[T.7]   1.086233
6   C(education_level, Treatment(4))[T.8]   1.200070
7                          C(gender)[T.m]   2.185765
8                        C(country)[T.CA]   2.576302
9                        C(country)[T.NZ]   1.181395
10                       C(country)[T.US]  14.047859
11                    C(time_of_day)[T.1]   1.177689
12                    C(time_of_day)[T.2]   1.191521
13                    C(time_of_day)[T.3]   1.125254
14                    C(time_of_day)[T.4]   1.238907
15                    C(time_of_day)[T.5]   1.232659
16                    C(time_of_day)[T.6]   1.252914
17                    C(time_of_day)[T.7]   1.602525
18                    C(time_of_day)[T.8]   2.104260
19                    C(time_of_day)[T.9]   2.310539
20                   C(time_of_day)[T.10]   3.149195
21                   C(time_of_day)[T.11]   2.428720
22                   C(time_of_day)[T.12]   2.636469
23                   C(time_of_day)[T.13]   2.365616
24                   C(time_of_day)[T.14]   2.435397
25                   C(time_of_day)[T.15]   2.473098
26                   C(time_of_day)[T.16]   2.102987
27                   C(time_of_day)[T.17]   2.251811
28                   C(time_of_day)[T.18]   2.180263
29                   C(time_of_day)[T.19]   2.219859
30                   C(time_of_day)[T.20]   2.668728
31                   C(time_of_day)[T.21]   2.379336
32                   C(time_of_day)[T.22]   2.441472
33                   C(time_of_day)[T.23]   1.730041
34                                    age   9.302602
Shapiro-Wilk normality test: W = 0.9809, p = 0.0000
Breusch-Pagan heteroscedasticity test: LM = 34.7662, p = 0.4793

--- Running regression analysis for Split_Half_Even_Range ---
Regression data shape: (1083, 16)
Dependent variable 'even_half_range' statistics:
Mean: 56.8565
Std: 18.5373
Min: 6.3380
Max: 98.1884
Using original education variable with level 4 as reference
Regression formula: even_half_range ~ C(education_level, Treatment(4)) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                            OLS Regression Results                            
==============================================================================
Dep. Variable:        even_half_range   R-squared:                       0.029
Model:                            OLS   Adj. R-squared:                 -0.003
Method:                 Least Squares   F-statistic:                    0.9081
Date:                Mon, 07 Jul 2025   Prob (F-statistic):              0.623
Time:                        12:59:21   Log-Likelihood:                -4682.1
No. Observations:                1083   AIC:                             9436.
Df Residuals:                    1047   BIC:                             9616.
Df Model:                          35                                         
Covariance Type:            nonrobust                                         
=========================================================================================================
                                            coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------------------
Intercept                                54.4751      5.926      9.192      0.000      42.846      66.104
C(education_level, Treatment(4))[T.1]     2.1034      6.380      0.330      0.742     -10.416      14.622
C(education_level, Treatment(4))[T.2]     2.7786      2.156      1.289      0.198      -1.451       7.009
C(education_level, Treatment(4))[T.3]    -1.3910      1.536     -0.905      0.365      -4.405       1.623
C(education_level, Treatment(4))[T.5]    -2.6173      2.586     -1.012      0.312      -7.691       2.456
C(education_level, Treatment(4))[T.6]     0.0278      1.678      0.017      0.987      -3.265       3.321
C(education_level, Treatment(4))[T.7]    -2.2384      4.125     -0.543      0.588     -10.333       5.856
C(education_level, Treatment(4))[T.8]    -1.2986      2.469     -0.526      0.599      -6.143       3.545
C(gender)[T.m]                            0.8166      1.214      0.673      0.501      -1.566       3.199
C(country)[T.CA]                         -0.0581      2.966     -0.020      0.984      -5.878       5.762
C(country)[T.NZ]                         -5.0521      5.709     -0.885      0.376     -16.254       6.150
C(country)[T.US]                         -0.0737      2.466     -0.030      0.976      -4.912       4.764
C(time_of_day)[T.1]                      -9.7762      8.423     -1.161      0.246     -26.305       6.752
C(time_of_day)[T.2]                       1.2168      8.095      0.150      0.881     -14.668      17.102
C(time_of_day)[T.3]                       7.3557      9.227      0.797      0.426     -10.750      25.461
C(time_of_day)[T.4]                      -0.1625      7.868     -0.021      0.984     -15.602      15.277
C(time_of_day)[T.5]                       9.0651      7.845      1.156      0.248      -6.329      24.459
C(time_of_day)[T.6]                       0.0335      7.640      0.004      0.997     -14.957      15.024
C(time_of_day)[T.7]                      -4.3071      6.509     -0.662      0.508     -17.079       8.465
C(time_of_day)[T.8]                       2.3289      5.876      0.396      0.692      -9.201      13.859
C(time_of_day)[T.9]                       6.4796      5.747      1.127      0.260      -4.798      17.757
C(time_of_day)[T.10]                      2.2796      5.544      0.411      0.681      -8.600      13.159
C(time_of_day)[T.11]                      2.8162      5.661      0.497      0.619      -8.292      13.924
C(time_of_day)[T.12]                      0.7313      5.613      0.130      0.896     -10.283      11.745
C(time_of_day)[T.13]                     -1.2106      5.746     -0.211      0.833     -12.485      10.063
C(time_of_day)[T.14]                     -0.6297      5.701     -0.110      0.912     -11.816      10.556
C(time_of_day)[T.15]                     -3.4147      5.694     -0.600      0.549     -14.587       7.758
C(time_of_day)[T.16]                      4.7439      5.798      0.818      0.413      -6.633      16.121
C(time_of_day)[T.17]                      2.5402      5.751      0.442      0.659      -8.744      13.825
C(time_of_day)[T.18]                      3.6850      5.773      0.638      0.523      -7.642      15.012
C(time_of_day)[T.19]                     -1.4465      5.775     -0.250      0.802     -12.779       9.886
C(time_of_day)[T.20]                      1.4284      5.614      0.254      0.799      -9.587      12.444
C(time_of_day)[T.21]                      3.4781      5.700      0.610      0.542      -7.707      14.663
C(time_of_day)[T.22]                     -1.0632      5.674     -0.187      0.851     -12.196      10.070
C(time_of_day)[T.23]                      1.2837      6.033      0.213      0.832     -10.554      13.122
age                                       0.0270      0.040      0.670      0.503      -0.052       0.106
==============================================================================
Omnibus:                       24.594   Durbin-Watson:                   2.077
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               16.728
Skew:                          -0.181   Prob(JB):                     0.000233
Kurtosis:                       2.510   Cond. No.                     2.03e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.03e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0295
Adjusted R-squared: -0.0030
F-statistic: 0.9081, p-value: 0.6233

--- Multicollinearity Diagnostics (VIF) ---
                                 variable        VIF
0   C(education_level, Treatment(4))[T.1]   1.057944
1   C(education_level, Treatment(4))[T.2]   1.255301
2   C(education_level, Treatment(4))[T.3]   1.615363
3   C(education_level, Treatment(4))[T.5]   1.201757
4   C(education_level, Treatment(4))[T.6]   1.545320
5   C(education_level, Treatment(4))[T.7]   1.086233
6   C(education_level, Treatment(4))[T.8]   1.200070
7                          C(gender)[T.m]   2.185765
8                        C(country)[T.CA]   2.576302
9                        C(country)[T.NZ]   1.181395
10                       C(country)[T.US]  14.047859
11                    C(time_of_day)[T.1]   1.177689
12                    C(time_of_day)[T.2]   1.191521
13                    C(time_of_day)[T.3]   1.125254
14                    C(time_of_day)[T.4]   1.238907
15                    C(time_of_day)[T.5]   1.232659
16                    C(time_of_day)[T.6]   1.252914
17                    C(time_of_day)[T.7]   1.602525
18                    C(time_of_day)[T.8]   2.104260
19                    C(time_of_day)[T.9]   2.310539
20                   C(time_of_day)[T.10]   3.149195
21                   C(time_of_day)[T.11]   2.428720
22                   C(time_of_day)[T.12]   2.636469
23                   C(time_of_day)[T.13]   2.365616
24                   C(time_of_day)[T.14]   2.435397
25                   C(time_of_day)[T.15]   2.473098
26                   C(time_of_day)[T.16]   2.102987
27                   C(time_of_day)[T.17]   2.251811
28                   C(time_of_day)[T.18]   2.180263
29                   C(time_of_day)[T.19]   2.219859
30                   C(time_of_day)[T.20]   2.668728
31                   C(time_of_day)[T.21]   2.379336
32                   C(time_of_day)[T.22]   2.441472
33                   C(time_of_day)[T.23]   1.730041
34                                    age   9.302602
Shapiro-Wilk normality test: W = 0.9925, p = 0.0000
Breusch-Pagan heteroscedasticity test: LM = 26.7725, p = 0.8393

--- Running regression analysis for Split_Half_Odd_IQR ---
Regression data shape: (1083, 16)
Dependent variable 'odd_half_iqr' statistics:
Mean: 30.7776
Std: 14.7321
Min: 2.1714
Max: 82.8125
Using original education variable with level 4 as reference
Regression formula: odd_half_iqr ~ C(education_level, Treatment(4)) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                            OLS Regression Results                            
==============================================================================
Dep. Variable:           odd_half_iqr   R-squared:                       0.044
Model:                            OLS   Adj. R-squared:                  0.012
Method:                 Least Squares   F-statistic:                     1.367
Date:                Mon, 07 Jul 2025   Prob (F-statistic):             0.0769
Time:                        12:59:34   Log-Likelihood:                -4425.3
No. Observations:                1083   AIC:                             8923.
Df Residuals:                    1047   BIC:                             9102.
Df Model:                          35                                         
Covariance Type:            nonrobust                                         
=========================================================================================================
                                            coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------------------
Intercept                                31.5500      4.675      6.748      0.000      22.376      40.724
C(education_level, Treatment(4))[T.1]    -0.9644      5.033     -0.192      0.848     -10.840       8.911
C(education_level, Treatment(4))[T.2]    -2.6404      1.701     -1.553      0.121      -5.977       0.697
C(education_level, Treatment(4))[T.3]    -1.1157      1.212     -0.921      0.357      -3.494       1.262
C(education_level, Treatment(4))[T.5]     1.0178      2.040      0.499      0.618      -2.985       5.020
C(education_level, Treatment(4))[T.6]    -1.3967      1.324     -1.055      0.292      -3.994       1.201
C(education_level, Treatment(4))[T.7]     4.3971      3.254      1.351      0.177      -1.988      10.783
C(education_level, Treatment(4))[T.8]     0.8352      1.947      0.429      0.668      -2.986       4.656
C(gender)[T.m]                            1.7798      0.958      1.858      0.063      -0.100       3.659
C(country)[T.CA]                          5.0189      2.340      2.145      0.032       0.427       9.610
C(country)[T.NZ]                          4.7941      4.504      1.065      0.287      -4.043      13.631
C(country)[T.US]                          2.3088      1.945      1.187      0.235      -1.508       6.125
C(time_of_day)[T.1]                      -4.3874      6.645     -0.660      0.509     -17.426       8.651
C(time_of_day)[T.2]                      -8.3167      6.386     -1.302      0.193     -20.848       4.215
C(time_of_day)[T.3]                       1.8056      7.279      0.248      0.804     -12.478      16.089
C(time_of_day)[T.4]                     -13.5995      6.207     -2.191      0.029     -25.779      -1.420
C(time_of_day)[T.5]                      -5.6138      6.189     -0.907      0.365     -17.758       6.530
C(time_of_day)[T.6]                       3.8342      6.027      0.636      0.525      -7.992      15.660
C(time_of_day)[T.7]                      -2.9140      5.135     -0.568      0.570     -12.989       7.161
C(time_of_day)[T.8]                       2.4454      4.635      0.528      0.598      -6.650      11.541
C(time_of_day)[T.9]                      -4.6951      4.534     -1.036      0.301     -13.592       4.202
C(time_of_day)[T.10]                      0.3447      4.374      0.079      0.937      -8.238       8.927
C(time_of_day)[T.11]                     -2.6177      4.466     -0.586      0.558     -11.380       6.145
C(time_of_day)[T.12]                     -3.7191      4.428     -0.840      0.401     -12.408       4.970
C(time_of_day)[T.13]                     -5.8644      4.533     -1.294      0.196     -14.758       3.029
C(time_of_day)[T.14]                     -0.3108      4.497     -0.069      0.945      -9.135       8.514
C(time_of_day)[T.15]                     -4.4377      4.492     -0.988      0.323     -13.252       4.376
C(time_of_day)[T.16]                     -0.8846      4.574     -0.193      0.847      -9.860       8.091
C(time_of_day)[T.17]                     -1.7103      4.537     -0.377      0.706     -10.612       7.192
C(time_of_day)[T.18]                     -4.8896      4.554     -1.074      0.283     -13.825       4.046
C(time_of_day)[T.19]                     -1.4570      4.556     -0.320      0.749     -10.397       7.483
C(time_of_day)[T.20]                     -3.3030      4.429     -0.746      0.456     -11.993       5.387
C(time_of_day)[T.21]                     -4.7383      4.497     -1.054      0.292     -13.562       4.085
C(time_of_day)[T.22]                     -4.0929      4.476     -0.914      0.361     -12.875       4.690
C(time_of_day)[T.23]                     -4.9868      4.759     -1.048      0.295     -14.326       4.352
age                                      -0.0184      0.032     -0.579      0.563      -0.081       0.044
==============================================================================
Omnibus:                       33.743   Durbin-Watson:                   1.950
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               33.951
Skew:                           0.403   Prob(JB):                     4.24e-08
Kurtosis:                       2.681   Cond. No.                     2.03e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.03e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0437
Adjusted R-squared: 0.0117
F-statistic: 1.3673, p-value: 0.0769

--- Multicollinearity Diagnostics (VIF) ---
                                 variable        VIF
0   C(education_level, Treatment(4))[T.1]   1.057944
1   C(education_level, Treatment(4))[T.2]   1.255301
2   C(education_level, Treatment(4))[T.3]   1.615363
3   C(education_level, Treatment(4))[T.5]   1.201757
4   C(education_level, Treatment(4))[T.6]   1.545320
5   C(education_level, Treatment(4))[T.7]   1.086233
6   C(education_level, Treatment(4))[T.8]   1.200070
7                          C(gender)[T.m]   2.185765
8                        C(country)[T.CA]   2.576302
9                        C(country)[T.NZ]   1.181395
10                       C(country)[T.US]  14.047859
11                    C(time_of_day)[T.1]   1.177689
12                    C(time_of_day)[T.2]   1.191521
13                    C(time_of_day)[T.3]   1.125254
14                    C(time_of_day)[T.4]   1.238907
15                    C(time_of_day)[T.5]   1.232659
16                    C(time_of_day)[T.6]   1.252914
17                    C(time_of_day)[T.7]   1.602525
18                    C(time_of_day)[T.8]   2.104260
19                    C(time_of_day)[T.9]   2.310539
20                   C(time_of_day)[T.10]   3.149195
21                   C(time_of_day)[T.11]   2.428720
22                   C(time_of_day)[T.12]   2.636469
23                   C(time_of_day)[T.13]   2.365616
24                   C(time_of_day)[T.14]   2.435397
25                   C(time_of_day)[T.15]   2.473098
26                   C(time_of_day)[T.16]   2.102987
27                   C(time_of_day)[T.17]   2.251811
28                   C(time_of_day)[T.18]   2.180263
29                   C(time_of_day)[T.19]   2.219859
30                   C(time_of_day)[T.20]   2.668728
31                   C(time_of_day)[T.21]   2.379336
32                   C(time_of_day)[T.22]   2.441472
33                   C(time_of_day)[T.23]   1.730041
34                                    age   9.302602
Shapiro-Wilk normality test: W = 0.9828, p = 0.0000
Breusch-Pagan heteroscedasticity test: LM = 35.5468, p = 0.4425

--- Running regression analysis for Split_Half_Even_IQR ---
Regression data shape: (1083, 16)
Dependent variable 'even_half_iqr' statistics:
Mean: 26.9935
Std: 15.9718
Min: 1.0870
Max: 84.5070
Using original education variable with level 4 as reference
Regression formula: even_half_iqr ~ C(education_level, Treatment(4)) + age + C(gender) + C(country) + C(time_of_day)
Regression summary:
                            OLS Regression Results                            
==============================================================================
Dep. Variable:          even_half_iqr   R-squared:                       0.026
Model:                            OLS   Adj. R-squared:                 -0.006
Method:                 Least Squares   F-statistic:                    0.8029
Date:                Mon, 07 Jul 2025   Prob (F-statistic):              0.787
Time:                        12:59:45   Log-Likelihood:                -4522.7
No. Observations:                1083   AIC:                             9117.
Df Residuals:                    1047   BIC:                             9297.
Df Model:                          35                                         
Covariance Type:            nonrobust                                         
=========================================================================================================
                                            coef    std err          t      P>|t|      [0.025      0.975]
---------------------------------------------------------------------------------------------------------
Intercept                                21.5410      5.115      4.211      0.000      11.504      31.578
C(education_level, Treatment(4))[T.1]     8.8665      5.506      1.610      0.108      -1.938      19.671
C(education_level, Treatment(4))[T.2]     4.0753      1.861      2.190      0.029       0.424       7.726
C(education_level, Treatment(4))[T.3]     0.4185      1.326      0.316      0.752      -2.183       3.020
C(education_level, Treatment(4))[T.5]    -0.8605      2.232     -0.386      0.700      -5.240       3.519
C(education_level, Treatment(4))[T.6]    -0.5667      1.448     -0.391      0.696      -3.409       2.275
C(education_level, Treatment(4))[T.7]     2.2900      3.560      0.643      0.520      -4.696       9.276
C(education_level, Treatment(4))[T.8]    -1.9109      2.131     -0.897      0.370      -6.092       2.270
C(gender)[T.m]                            0.6487      1.048      0.619      0.536      -1.408       2.705
C(country)[T.CA]                          3.7033      2.560      1.447      0.148      -1.320       8.727
C(country)[T.NZ]                          4.2437      4.927      0.861      0.389      -5.425      13.912
C(country)[T.US]                          2.1144      2.128      0.994      0.321      -2.061       6.290
C(time_of_day)[T.1]                      -2.6030      7.270     -0.358      0.720     -16.868      11.662
C(time_of_day)[T.2]                      -9.9423      6.987     -1.423      0.155     -23.652       3.768
C(time_of_day)[T.3]                       4.1967      7.964      0.527      0.598     -11.430      19.823
C(time_of_day)[T.4]                       0.0210      6.791      0.003      0.998     -13.305      13.347
C(time_of_day)[T.5]                       1.9898      6.771      0.294      0.769     -11.296      15.276
C(time_of_day)[T.6]                      -1.1161      6.594     -0.169      0.866     -14.054      11.822
C(time_of_day)[T.7]                       0.4205      5.618      0.075      0.940     -10.602      11.444
C(time_of_day)[T.8]                       2.6866      5.071      0.530      0.596      -7.264      12.638
C(time_of_day)[T.9]                       1.9607      4.960      0.395      0.693      -7.773      11.694
C(time_of_day)[T.10]                     -0.8703      4.785     -0.182      0.856     -10.260       8.519
C(time_of_day)[T.11]                      1.2312      4.886      0.252      0.801      -8.356      10.818
C(time_of_day)[T.12]                     -0.8346      4.844     -0.172      0.863     -10.341       8.671
C(time_of_day)[T.13]                     -1.2333      4.959     -0.249      0.804     -10.964       8.497
C(time_of_day)[T.14]                     -2.5097      4.920     -0.510      0.610     -12.164       7.145
C(time_of_day)[T.15]                     -0.7862      4.914     -0.160      0.873     -10.429       8.857
C(time_of_day)[T.16]                      2.5538      5.004      0.510      0.610      -7.266      12.373
C(time_of_day)[T.17]                      2.8713      4.963      0.578      0.563      -6.868      12.611
C(time_of_day)[T.18]                      2.3270      4.982      0.467      0.641      -7.449      12.103
C(time_of_day)[T.19]                      0.2395      4.985      0.048      0.962      -9.542      10.020
C(time_of_day)[T.20]                      1.3232      4.845      0.273      0.785      -8.184      10.830
C(time_of_day)[T.21]                      0.2836      4.920      0.058      0.954      -9.370       9.937
C(time_of_day)[T.22]                      1.5893      4.897      0.325      0.746      -8.019      11.198
C(time_of_day)[T.23]                      0.9762      5.207      0.187      0.851      -9.241      11.194
age                                       0.0518      0.035      1.488      0.137      -0.017       0.120
==============================================================================
Omnibus:                       56.779   Durbin-Watson:                   2.041
Prob(Omnibus):                  0.000   Jarque-Bera (JB):               64.917
Skew:                           0.599   Prob(JB):                     8.01e-15
Kurtosis:                       3.051   Cond. No.                     2.03e+03
==============================================================================

Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 2.03e+03. This might indicate that there are
strong multicollinearity or other numerical problems.

--- Model Diagnostics ---
R-squared: 0.0261
Adjusted R-squared: -0.0064
F-statistic: 0.8029, p-value: 0.7869

--- Multicollinearity Diagnostics (VIF) ---
                                 variable        VIF
0   C(education_level, Treatment(4))[T.1]   1.057944
1   C(education_level, Treatment(4))[T.2]   1.255301
2   C(education_level, Treatment(4))[T.3]   1.615363
3   C(education_level, Treatment(4))[T.5]   1.201757
4   C(education_level, Treatment(4))[T.6]   1.545320
5   C(education_level, Treatment(4))[T.7]   1.086233
6   C(education_level, Treatment(4))[T.8]   1.200070
7                          C(gender)[T.m]   2.185765
8                        C(country)[T.CA]   2.576302
9                        C(country)[T.NZ]   1.181395
10                       C(country)[T.US]  14.047859
11                    C(time_of_day)[T.1]   1.177689
12                    C(time_of_day)[T.2]   1.191521
13                    C(time_of_day)[T.3]   1.125254
14                    C(time_of_day)[T.4]   1.238907
15                    C(time_of_day)[T.5]   1.232659
16                    C(time_of_day)[T.6]   1.252914
17                    C(time_of_day)[T.7]   1.602525
18                    C(time_of_day)[T.8]   2.104260
19                    C(time_of_day)[T.9]   2.310539
20                   C(time_of_day)[T.10]   3.149195
21                   C(time_of_day)[T.11]   2.428720
22                   C(time_of_day)[T.12]   2.636469
23                   C(time_of_day)[T.13]   2.365616
24                   C(time_of_day)[T.14]   2.435397
25                   C(time_of_day)[T.15]   2.473098
26                   C(time_of_day)[T.16]   2.102987
27                   C(time_of_day)[T.17]   2.251811
28                   C(time_of_day)[T.18]   2.180263
29                   C(time_of_day)[T.19]   2.219859
30                   C(time_of_day)[T.20]   2.668728
31                   C(time_of_day)[T.21]   2.379336
32                   C(time_of_day)[T.22]   2.441472
33                   C(time_of_day)[T.23]   1.730041
34                                    age   9.302602
Shapiro-Wilk normality test: W = 0.9709, p = 0.0000
Breusch-Pagan heteroscedasticity test: LM = 36.3668, p = 0.4048

============================================================
Combining all regression results...
Saved combined regression results to: outputs/step6_sensitivity_regression_results_20250707_125813.csv
Combined regression results columns: ['analysis_type', 'model_name', 'dependent_variable', 'predictor_variable', 'coefficient', 'std_error', 'standardized_beta', 't_statistic', 'p_value', 'conf_int_lower', 'conf_int_upper', 'significant_bonferroni']
First 2 rows of combined results:
              analysis_type  ... significant_bonferroni
0  Coefficient_of_Variation  ...                  False
1  Coefficient_of_Variation  ...                  False

[2 rows x 12 columns]

============================================================
Creating robustness comparison...
Loading primary regression results from: outputs/step4_primary_regression_results_20250707_120331.csv
Saved robustness comparison to: outputs/step6_robustness_comparison_20250707_125813.csv
Robustness comparison columns: ['analysis_type', 'education_level', 'effect_size_primary', 'effect_size_sensitivity', 'p_value_primary', 'p_value_sensitivity', 'conclusion_consistent']
First 2 rows of robustness comparison:
              analysis_type  ... conclusion_consistent
0  Coefficient_of_Variation  ...                  True
1  Coefficient_of_Variation  ...                  True

[2 rows x 7 columns]

============================================================
SENSITIVITY ANALYSES COMPLETED SUCCESSFULLY
============================================================
Finished execution

