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                import pandas as pd  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from pandas.core.algorithms import unique as _unique  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from sklearn.metrics import confusion_matrix  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                from ethically.fairness.metrics.utils import _assert_binary  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def _select_dict(d, keys):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return {k: d[k] for k in keys} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def _nested_select_dict(d, nested_keys):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return {k: | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            _select_dict(v, nested_keys)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            for k, v in d.items()}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def _choose_other(item, iterable):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return next(other for other in iterable  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    20
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                                if other != item)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    23
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                def _nested_diff_and_ratio(d, nested_key, first, second):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    assert d.keys() == {first, second} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    return {'diff': d[first][nested_key] - d[second][nested_key], | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            'ratio': d[first][nested_key] / d[second][nested_key]}  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                def binary_stats_by_attr(y_true, y_pred, x_attr,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                         labels=None):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    # pylint: disable=too-many-locals  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    _assert_binary(y_true, y_pred)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    stats = {} | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    for x_att_val in _unique(x_attr):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        mask = (x_attr == x_att_val)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        tn, fp, fn, tp = confusion_matrix(y_true[mask],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                          y_pred[mask],  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                                                          labels=labels).ravel()  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        pos = tp + fn  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                        neg = tn + fp  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    49
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                        acceptance = tp + fp  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    50
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                        rejection = tn + fn  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    51
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                        correct = tp + tn  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    53
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                    54
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                        total = pos + neg  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    55
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                    56
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                        stats[x_att_val] = { | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    57
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                            'total': int(total),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            'proportion': total / len(x_attr),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    59
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                            'pos': int(pos),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    60
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                            'neg': int(neg),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    61
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                            'base_rate': pos / total,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    62
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                            'acceptance_rate': acceptance / total,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    63
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                            'tn': int(tn),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    64
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                            'fp': int(fp),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    65
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                            'fn': int(fn),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    66
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                            'tp': int(tp),  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    67
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                            'accuracy': correct / total,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    68
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                            'balanced_accuracy': (tp / pos + tn / neg) / 2,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                            'tpr': tp / pos,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    70
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                            'tnr': tn / neg,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    71
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                            'fnr': fn / pos,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    72
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                            'fpr': fp / neg,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    73
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                            'ppv': tp / acceptance,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    74
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                            'npv': tn / rejection  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    75
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                        }  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    76
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                    77
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                    return stats  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    78
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                    79
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                    80
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                def compare_privileged(stats,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    81
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                                       x_sens_privileged=None):  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    82
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                    # pylint: disable=line-too-long  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    83
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                    84
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                    if len(stats) != 2:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    85
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                        if x_sens_privileged is not None:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    86
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                            raise ValueError('x_sens_privileged should have' | 
            
            
                                                                        
                            
            
                                    
            
            
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                    87
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                                             'only two values for comparision'  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    88
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                                             '(difference and ratio).')  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    89
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                    90
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                        return None  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    91
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                    92
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                    comparison = {} | 
            
            
                                                                        
                            
            
                                    
            
            
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                    93
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                    94
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                    if x_sens_privileged is None:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    95
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                        x_sens_privileged = next(iter(stats))  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    96
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                    97
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                    x_sens_unprivileged = _choose_other(x_sens_privileged,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    98
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                                                        stats)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    99
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                    100
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                    comparison['x_sens_privileged'] = x_sens_privileged  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    101
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                    comparison['x_sens_unprivileged'] = x_sens_unprivileged  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    102
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                    103
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                    comparison['metrics'] = {} | 
            
            
                                                                        
                            
            
                                    
            
            
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                    104
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                    105
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                    metrics = next(iter(stats.values())).keys()  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    106
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                    107
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                    for metric in metrics:  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    108
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                        comparison['metrics'][metric] = _nested_diff_and_ratio(stats,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    109
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                                                                               metric,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    110
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                                                                               x_sens_unprivileged,  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    111
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                                                                               x_sens_privileged)  | 
            
            
                                                                        
                            
            
                                    
            
            
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                    112
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                    113
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                    return comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    114
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                    115
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                    116
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                def group_fairness_criterion_binary(y_true, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    117
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                                                    metrics,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    118
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                                                    x_sens_privileged=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    119
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                                                    labels=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    120
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                                                    as_df=False):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    121
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                    122
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                    stats = binary_stats_by_attr(y_true, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    123
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                                                 labels=labels)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    124
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                    125
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                    criterion = _nested_select_dict(stats,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    126
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                                                    metrics)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    127
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                | 
                    128
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                    comparison = compare_privileged(criterion,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    129
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                                                    x_sens_privileged)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    130
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                | 
                    131
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                    if as_df:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    132
                 | 
                                    
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                 | 
                        criterion = pd.DataFrame(criterion)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    133
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                | 
                    134
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                        if comparison is not None:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    135
                 | 
                                    
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                 | 
                            vs_name = ('{x_sens_unprivileged} vs. {x_sens_privileged}' | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    136
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                 | 
                                       .format(**comparison))  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    137
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                    138
                 | 
                                    
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                            comparison = pd.DataFrame(comparison['metrics'])  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    139
                 | 
                                    
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                            comparison.index.name = vs_name  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    140
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                    141
                 | 
                                    
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                    return criterion, comparison  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    142
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                    143
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                    144
                 | 
                                    
                                                     | 
                
                 | 
                def independence_binary(y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    145
                 | 
                                    
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                                        x_sens_privileged=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    146
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                                        labels=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    147
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                                        as_df=False):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    148
                 | 
                                    
                                                     | 
                
                 | 
                    """Compute the independence criteria for binary prediction.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    149
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                    150
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                 | 
                    In classification terminology, it is the **acceptance rate**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    151
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                    grouped by the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    152
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                    153
                 | 
                                    
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                    :param y_pred: Estimated targets as returned by a classifier.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    154
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                 | 
                    :param x_sens: Sensitive attribute values corresponded to each  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    155
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                                                     | 
                
                 | 
                                   target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    156
                 | 
                                    
                                                     | 
                
                 | 
                    :param x_sens_privileged: The privileged value in the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    157
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                                              sensitive attribute. Relevent only  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    158
                 | 
                                    
                                                     | 
                
                 | 
                                              if there are only two values for  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    159
                 | 
                                    
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                                              the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    160
                 | 
                                    
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                 | 
                    :param labels: List of labels to choose the negative and positive target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    161
                 | 
                                    
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                                   This may be used to reorder or select a subset of labels.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    162
                 | 
                                    
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                                   If none is given, those that appear at least once in  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    163
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                                   y_pred are used in sorted order; first is negative  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    164
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                                   and the second is positive.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
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                    165
                 | 
                                    
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                 | 
                    :param as_df: Whether to return the results as `dict` (if `False`)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    166
                 | 
                                    
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                 | 
                                  or as :class:`pandas.DataFrame` (if `True`).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    167
                 | 
                                    
                                                     | 
                
                 | 
                    :return: Independence criteria and comparision if there are  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    168
                 | 
                                    
                                                     | 
                
                 | 
                             only two values for the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    169
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: tuple  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    170
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    171
                 | 
                                    
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                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    172
                 | 
                                    
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                    # hack to keep the same strutcure of code  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    173
                 | 
                                    
                                                     | 
                
                 | 
                    # for independence as seperation and sufficiency  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    174
                 | 
                                    
                                                     | 
                
                 | 
                    # we take only acceptance_rate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    175
                 | 
                                    
                                                     | 
                
                 | 
                    return group_fairness_criterion_binary(y_pred, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    176
                 | 
                                    
                                                     | 
                
                 | 
                                                           ('acceptance_rate',), | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    177
                 | 
                                    
                                                     | 
                
                 | 
                                                           x_sens_privileged,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    178
                 | 
                                    
                                                     | 
                
                 | 
                                                           labels,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    179
                 | 
                                    
                                                     | 
                
                 | 
                                                           as_df)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    180
                 | 
                                    
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                 | 
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                | 
                    181
                 | 
                                    
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                 | 
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                | 
                    182
                 | 
                                    
                                                     | 
                
                 | 
                def separation_binary(y_true, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    183
                 | 
                                    
                                                     | 
                
                 | 
                                      x_sens_privileged=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    184
                 | 
                                    
                                                     | 
                
                 | 
                                      labels=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    185
                 | 
                                    
                                                     | 
                
                 | 
                                      as_df=False):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    186
                 | 
                                    
                                                     | 
                
                 | 
                    """Compute the separation criteria for binary prediction.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    187
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    188
                 | 
                                    
                                                     | 
                
                 | 
                    In classification terminology, it is the **TPR**, **FPR**,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    189
                 | 
                                    
                                                     | 
                
                 | 
                    **TNR** and **FNR** grouped by the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    190
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    191
                 | 
                                    
                                                     | 
                
                 | 
                    :param y_true: Binary ground truth (correct) target values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    192
                 | 
                                    
                                                     | 
                
                 | 
                    :param y_pred: Estimated binary targets as returned  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    193
                 | 
                                    
                                                     | 
                
                 | 
                                   by a classifier.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    194
                 | 
                                    
                                                     | 
                
                 | 
                    :param x_sens: Sensitive attribute values corresponded to each  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    195
                 | 
                                    
                                                     | 
                
                 | 
                                   target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    196
                 | 
                                    
                                                     | 
                
                 | 
                    :param x_sens_privileged: The privileged value in the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    197
                 | 
                                    
                                                     | 
                
                 | 
                                              sensitive attribute. Relevent only  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    198
                 | 
                                    
                                                     | 
                
                 | 
                                              if there are only two values for  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    199
                 | 
                                    
                                                     | 
                
                 | 
                                              the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    200
                 | 
                                    
                                                     | 
                
                 | 
                    :param labels: List of labels to choose the negative and positive target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    201
                 | 
                                    
                                                     | 
                
                 | 
                                   This may be used to reorder or select a subset of labels.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    202
                 | 
                                    
                                                     | 
                
                 | 
                                   If none is given, those that appear at least once in  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    203
                 | 
                                    
                                                     | 
                
                 | 
                                   y_pred are used in sorted order; first is negative  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    204
                 | 
                                    
                                                     | 
                
                 | 
                                   and the second is positive.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    205
                 | 
                                    
                                                     | 
                
                 | 
                    :param as_df: Whether to return the results as `dict` (if `False`)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    206
                 | 
                                    
                                                     | 
                
                 | 
                                  or as :class:`pandas.DataFrame` (if `True`).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    207
                 | 
                                    
                                                     | 
                
                 | 
                    :return: Separation criteria and comparision if there are  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    208
                 | 
                                    
                                                     | 
                
                 | 
                             only two values for the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    209
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: tuple  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    210
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    211
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    212
                 | 
                                    
                                                     | 
                
                 | 
                    return group_fairness_criterion_binary(y_true, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    213
                 | 
                                    
                                                     | 
                
                 | 
                                                           ('tpr', 'fpr', 'tnr', 'fnr'), | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    214
                 | 
                                    
                                                     | 
                
                 | 
                                                           x_sens_privileged,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    215
                 | 
                                    
                                                     | 
                
                 | 
                                                           labels,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    216
                 | 
                                    
                                                     | 
                
                 | 
                                                           as_df)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    217
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    218
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    219
                 | 
                                    
                                                     | 
                
                 | 
                def sufficiency_binary(y_true, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    220
                 | 
                                    
                                                     | 
                
                 | 
                                       x_sens_privileged=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    221
                 | 
                                    
                                                     | 
                
                 | 
                                       labels=None,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    222
                 | 
                                    
                                                     | 
                
                 | 
                                       as_df=False):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    223
                 | 
                                    
                                                     | 
                
                 | 
                    """Compute the sufficiency criteria for binary prediction.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    224
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    225
                 | 
                                    
                                                     | 
                
                 | 
                    In classification terminology, it is the **PPV** and **NPV**  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    226
                 | 
                                    
                                                     | 
                
                 | 
                    grouped by the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    227
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    228
                 | 
                                    
                                                     | 
                
                 | 
                    :param y_true: Binary ground truth (correct) target values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    229
                 | 
                                    
                                                     | 
                
                 | 
                    :param y_pred: Binary estimated targets as returned by  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    230
                 | 
                                    
                                                     | 
                
                 | 
                                   a classifier.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    231
                 | 
                                    
                                                     | 
                
                 | 
                    :param x_sens: Sensitive attribute values corresponded to each  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    232
                 | 
                                    
                                                     | 
                
                 | 
                                   target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    233
                 | 
                                    
                                                     | 
                
                 | 
                    :param x_sens_privileged: The privileged value in the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    234
                 | 
                                    
                                                     | 
                
                 | 
                                              sensitive attribute. Relevent only  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    235
                 | 
                                    
                                                     | 
                
                 | 
                                              if there are only two values for  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    236
                 | 
                                    
                                                     | 
                
                 | 
                                              the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    237
                 | 
                                    
                                                     | 
                
                 | 
                    :param labels: List of labels to choose the negative and positive target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    238
                 | 
                                    
                                                     | 
                
                 | 
                                   This may be used to reorder or select a subset of labels.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    239
                 | 
                                    
                                                     | 
                
                 | 
                                   If none is given, those that appear at least once in  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    240
                 | 
                                    
                                                     | 
                
                 | 
                                   y_pred are used in sorted order; first is negative  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    241
                 | 
                                    
                                                     | 
                
                 | 
                                   and the second is positive.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    242
                 | 
                                    
                                                     | 
                
                 | 
                    :param as_df: Whether to return the results as `dict` (if `False`)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    243
                 | 
                                    
                                                     | 
                
                 | 
                                  or as :class:`pandas.DataFrame` (if `True`).  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    244
                 | 
                                    
                                                     | 
                
                 | 
                    :return: Sufficiency criteria and comparision if there are  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    245
                 | 
                                    
                                                     | 
                
                 | 
                             only two values for the sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    246
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: tuple  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    247
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    248
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    249
                 | 
                                    
                                                     | 
                
                 | 
                    return group_fairness_criterion_binary(y_true, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    250
                 | 
                                    
                                                     | 
                
                 | 
                                                           ('ppv', 'npv'), | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    251
                 | 
                                    
                                                     | 
                
                 | 
                                                           x_sens_privileged,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    252
                 | 
                                    
                                                     | 
                
                 | 
                                                           labels,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    253
                 | 
                                    
                                                     | 
                
                 | 
                                                           as_df)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    254
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    255
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    256
                 | 
                                    
                                                     | 
                
                 | 
                def report_binary(y_true, y_pred, x_sens,  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    257
                 | 
                                    
                                                     | 
                
                 | 
                                  labels=None):  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    258
                 | 
                                    
                                                     | 
                
                 | 
                    """Generate a report of criteria for binary prediction.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    259
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    260
                 | 
                                    
                                                     | 
                
                 | 
                    In classification terminology, the statistics are  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    261
                 | 
                                    
                                                     | 
                
                 | 
                    grouped by the sensitive attribute:  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    262
                 | 
                                    
                                                     | 
                
                 | 
                    - Number of observations per group  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    263
                 | 
                                    
                                                     | 
                
                 | 
                    - Proportion of of observations per group  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    264
                 | 
                                    
                                                     | 
                
                 | 
                    - Base rate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    265
                 | 
                                    
                                                     | 
                
                 | 
                    - Acceptance rate  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    266
                 | 
                                    
                                                     | 
                
                 | 
                    - FNR  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    267
                 | 
                                    
                                                     | 
                
                 | 
                    - TPR  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    268
                 | 
                                    
                                                     | 
                
                 | 
                    - PPV  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    269
                 | 
                                    
                                                     | 
                
                 | 
                    - NPV  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    270
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    271
                 | 
                                    
                                                     | 
                
                 | 
                    :param y_true: Binary ground truth (correct) target values.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    272
                 | 
                                    
                                                     | 
                
                 | 
                    :param y_pred: Binary estimated targets as returned by  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    273
                 | 
                                    
                                                     | 
                
                 | 
                                   a classifier.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    274
                 | 
                                    
                                                     | 
                
                 | 
                    :param x_sens: Sensitive attribute values corresponded to each  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    275
                 | 
                                    
                                                     | 
                
                 | 
                                   target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    276
                 | 
                                    
                                                     | 
                
                 | 
                    :param labels: List of labels to choose the negative and positive target.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    277
                 | 
                                    
                                                     | 
                
                 | 
                                   This may be used to reorder or select a subset of labels.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    278
                 | 
                                    
                                                     | 
                
                 | 
                                   If none is given, those that appear at least once in  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    279
                 | 
                                    
                                                     | 
                
                 | 
                                   y_pred are used in sorted order; first is negative  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    280
                 | 
                                    
                                                     | 
                
                 | 
                                   and the second is positive.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    281
                 | 
                                    
                                                     | 
                
                 | 
                    :return: Classification statistics grouped by the  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    282
                 | 
                                    
                                                     | 
                
                 | 
                             sensitive attribute.  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    283
                 | 
                                    
                                                     | 
                
                 | 
                    :rtype: :class:`pandas.DataFrame`  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    284
                 | 
                                    
                                                     | 
                
                 | 
                    """  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    285
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    286
                 | 
                                    
                                                     | 
                
                 | 
                    stats = binary_stats_by_attr(y_true, y_pred, x_sens, labels)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    287
                 | 
                                    
                                                     | 
                
                 | 
                    stats_df = pd.DataFrame(stats)  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    288
                 | 
                                    
                                                     | 
                
                 | 
                 | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    289
                 | 
                                    
                                                     | 
                
                 | 
                    return stats_df.loc[['total', 'proportion', 'base_rate',  | 
            
            
                                                                                                            
                            
            
                                    
            
            
                | 
                    290
                 | 
                                    
                                                     | 
                
                 | 
                                         'acceptance_rate', 'accuracy',  | 
            
            
                                                                                                            
                                                                
            
                                    
            
            
                | 
                    291
                 | 
                                    
                                                     | 
                
                 | 
                                         'fnr', 'fpr', 'ppv', 'npv']]  | 
            
            
                                                        
            
                                    
            
            
                | 
                    292
                 | 
                                    
                                                     | 
                
                 | 
                 |