1{2 "regions_in_external": 17,3 "regions_matched": 17,4 "correlations": {5 "H_rarefied15 ~ log_population": {6 "n": 16,7 "rho": 0.035,8 "ci": [9 -0.651,10 0.62311 ],12 "ols_b": -0.0034,13 "ols_se_hc3": 0.016714 },15 "H_rarefied15 ~ log_business_locations": {16 "n": 16,17 "rho": 0.041,18 "ci": [19 -0.665,20 0.63321 ],22 "ols_b": -0.0048,23 "ols_se_hc3": 0.017524 },25 "H_rarefied15 ~ disposable_income": {26 "n": 16,27 "rho": 0.0,28 "ci": [29 -0.607,30 0.59131 ],32 "ols_b": 0.0,33 "ols_se_hc3": 0.034 },35 "H_rarefied15 ~ log_density": {36 "n": 16,37 "rho": -0.147,38 "ci": [39 -0.737,40 0.55241 ],42 "ols_b": -0.0043,43 "ols_se_hc3": 0.006244 },45 "H_norm_M ~ log_population": {46 "n": 17,47 "rho": 0.515,48 "ci": [49 -0.052,50 0.91651 ],52 "ols_b": 0.0383,53 "ols_se_hc3": 0.022754 },55 "H_norm_M ~ log_business_locations": {56 "n": 17,57 "rho": 0.534,58 "ci": [59 -0.063,60 0.93661 ],62 "ols_b": 0.0394,63 "ols_se_hc3": 0.02364 },65 "H_norm_M ~ disposable_income": {66 "n": 17,67 "rho": 0.525,68 "ci": [69 -0.016,70 0.87171 ],72 "ols_b": 0.0,73 "ols_se_hc3": 0.074 },75 "H_norm_M ~ log_density": {76 "n": 17,77 "rho": 0.26,78 "ci": [79 -0.373,80 0.78181 ],82 "ols_b": 0.01,83 "ols_se_hc3": 0.011484 },85 "eff_cat_M ~ log_population": {86 "n": 17,87 "rho": 0.515,88 "ci": [89 -0.069,90 0.91391 ],92 "ols_b": 1.1772,93 "ols_se_hc3": 0.707694 },95 "eff_cat_M ~ log_business_locations": {96 "n": 17,97 "rho": 0.534,98 "ci": [99 -0.037,100 0.932101 ],102 "ols_b": 1.2006,103 "ols_se_hc3": 0.7059104 },105 "eff_cat_M ~ disposable_income": {106 "n": 17,107 "rho": 0.525,108 "ci": [109 -0.011,110 0.863111 ],112 "ols_b": 0.0004,113 "ols_se_hc3": 0.0003114 },115 "eff_cat_M ~ log_density": {116 "n": 17,117 "rho": 0.26,118 "ci": [119 -0.371,120 0.765121 ],122 "ols_b": 0.2836,123 "ols_se_hc3": 0.3618124 },125 "log_stores_per_100k ~ log_population": {126 "n": 17,127 "rho": -0.194,128 "ci": [129 -0.606,130 0.31131 ],132 "ols_b": null,133 "ols_se_hc3": null134 },135 "log_stores_per_100k ~ log_density": {136 "n": 17,137 "rho": -0.218,138 "ci": [139 -0.72,140 0.348141 ],142 "ols_b": null,143 "ols_se_hc3": null144 },145 "log_stores_per_100k ~ disposable_income": {146 "n": 17,147 "rho": -0.02,148 "ci": [149 -0.489,150 0.464151 ],152 "ols_b": null,153 "ols_se_hc3": null154 }155 },156 "covariate_sources": {157 "log_population": "ISQ population estimate, 1 July 2025 (provisional)",158 "log_business_locations": "ISQ business locations with employees, Dec 2025",159 "disposable_income": "ISQ disposable income per capita, 2024p",160 "log_density": "Census 2021 population density (2021 ER boundaries)"161 },162 "note": "17 regions; rarefied diversity needs >= 15 stores (Nord-du-Québec, 3 stores, excluded). Associations only; CIs from 5 000 region-level bootstrap draws combined with the 2 000 rarefaction draws of the outcome; OLS slope with HC3 SE. Power: with n = 16 the smallest |rho| detectable with 80 % power at alpha = 0.05 is about 0.66.",163 "power_n16_rho_80pct": 0.66,164 "H7_V3": {165 "n": 17,166 "R2_eci_on_covariates": 0.257,167 "loo_pred_spearman": 0.007,168 "criterion_rho_ge_0.5": false,169 "partial_corr_eci_diversity_given_covariates": 0.314170 }171}