|
| 1 | +import numpy as np |
| 2 | +import pandas as pd |
| 3 | +from src.task_3.stats_helpers import anova_test, t_test_independent, chi_square_test |
| 4 | +def province_risk_test(data, risk_metric='claim_frequency'): |
| 5 | + """ |
| 6 | + Compare risk across provinces using the specified risk metric. |
| 7 | + |
| 8 | + For claim frequency: Calculate the proportion of policies with at least one claim. |
| 9 | + For claim severity: Consider only policies with at least one claim and compute their average. |
| 10 | + Use ANOVA to compare differences across provinces. |
| 11 | + |
| 12 | + Returns a dictionary with test statistics and p-values. |
| 13 | + """ |
| 14 | + results = {} |
| 15 | + provinces = data['Province'].unique() |
| 16 | + groups = [] |
| 17 | + |
| 18 | + if risk_metric == 'claim_frequency': |
| 19 | + for province in provinces: |
| 20 | + subset = data[data['Province'] == province] |
| 21 | + # Binary flag: 1 if claim exists, 0 otherwise |
| 22 | + freq = subset['claim_indicator'].mean() |
| 23 | + groups.append(subset['claim_indicator'].values) |
| 24 | + results[province] = {'claim_frequency': freq} |
| 25 | + elif risk_metric == 'claim_severity': |
| 26 | + for province in provinces: |
| 27 | + subset = data[(data['Province'] == province) & (data['claim_indicator'] == 1)] |
| 28 | + severity = subset['TotalClaims'].mean() if not subset.empty else np.nan |
| 29 | + groups.append(subset['TotalClaims'].values if not subset.empty else np.array([0])) |
| 30 | + results[province] = {'claim_severity': severity} |
| 31 | + else: |
| 32 | + raise ValueError("Invalid risk metric specified.") |
| 33 | + |
| 34 | + stat, p_val = anova_test(groups) |
| 35 | + return {'results_by_province': results, 'anova_stat': stat, 'p_value': p_val} |
| 36 | + |
| 37 | + |
| 38 | +def zip_risk_test(data, risk_metric='claim_frequency'): |
| 39 | + """ |
| 40 | + Compares risk across zip codes using the specified risk metric (frequency or severity). |
| 41 | + Performs ANOVA across groups. |
| 42 | + """ |
| 43 | + results = {} |
| 44 | + zip_codes = data['PostalCode'].dropna().unique() |
| 45 | + groups = [] |
| 46 | + |
| 47 | + if risk_metric == 'claim_frequency': |
| 48 | + for z in zip_codes: |
| 49 | + subset = data[data['PostalCode'] == z] |
| 50 | + freq = subset['claim_indicator'].mean() |
| 51 | + groups.append(subset['claim_indicator'].values) |
| 52 | + results[z] = {'claim_frequency': freq} |
| 53 | + elif risk_metric == 'claim_severity': |
| 54 | + for z in zip_codes: |
| 55 | + subset = data[(data['PostalCode'] == z) & (data['claim_indicator'] == 1)] |
| 56 | + severity = subset['TotalClaims'].mean() if not subset.empty else np.nan |
| 57 | + groups.append(subset['TotalClaims'].values if not subset.empty else np.array([0])) |
| 58 | + results[z] = {'claim_severity': severity} |
| 59 | + else: |
| 60 | + raise ValueError("Invalid risk metric.") |
| 61 | + |
| 62 | + stat, p_val = anova_test(groups) |
| 63 | + return {'results_by_zip': results, 'anova_stat': stat, 'p_value': p_val} |
| 64 | + |
| 65 | +def zip_margin_test(data): |
| 66 | + """ |
| 67 | + Tests whether margin (TotalPremium - TotalClaims) differs by zip code using ANOVA. |
| 68 | + """ |
| 69 | + data = data.copy() |
| 70 | + data['margin'] = data['TotalPremium'] - data['TotalClaims'] |
| 71 | + |
| 72 | + results = {} |
| 73 | + zip_codes = data['PostalCode'].dropna().unique() |
| 74 | + groups = [] |
| 75 | + |
| 76 | + for z in zip_codes: |
| 77 | + subset = data[data['PostalCode'] == z] |
| 78 | + margin_mean = subset['margin'].mean() |
| 79 | + groups.append(subset['margin'].values) |
| 80 | + results[z] = {'average_margin': margin_mean} |
| 81 | + |
| 82 | + stat, p_val = anova_test(groups) |
| 83 | + return {'results_by_zip': results, 'anova_stat': stat, 'p_value': p_val} |
| 84 | + |
| 85 | +def gender_risk_test(data, risk_metric='claim_severity'): |
| 86 | + """ |
| 87 | + Compare risk between genders using a two-sample t-test. |
| 88 | + """ |
| 89 | + results = {} |
| 90 | + |
| 91 | + male_data = data[data['Gender'] == 'Male'] |
| 92 | + female_data = data[data['Gender'] == 'Female'] |
| 93 | + |
| 94 | + if risk_metric == 'claim_frequency': |
| 95 | + male_vals = male_data['claim_indicator'] |
| 96 | + female_vals = female_data['claim_indicator'] |
| 97 | + results['Male'] = male_vals.mean() |
| 98 | + results['Female'] = female_vals.mean() |
| 99 | + elif risk_metric == 'claim_severity': |
| 100 | + male_vals = male_data[male_data['claim_indicator'] == 1]['TotalClaims'] |
| 101 | + female_vals = female_data[female_data['claim_indicator'] == 1]['TotalClaims'] |
| 102 | + results['Male'] = male_vals.mean() |
| 103 | + results['Female'] = female_vals.mean() |
| 104 | + else: |
| 105 | + raise ValueError("Invalid risk metric.") |
| 106 | + |
| 107 | + stat, p_val = t_test_independent(male_vals, female_vals) |
| 108 | + return {'results_by_gender': results, 't_stat': stat, 'p_value': p_val} |
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