1{2 "regions_in_external": 17,3 "regions_matched": 17,4 "correlations": {5 "H_rarefied15 ~ log_population": {6 "n": 16,7 "rho": -0.103,8 "ci": [9 -0.676,10 0.58711 ],12 "ols_b": -0.0046,13 "ols_se_hc3": 0.006514 },15 "H_rarefied15 ~ log_business_locations": {16 "n": 16,17 "rho": -0.15,18 "ci": [19 -0.684,20 0.57621 ],22 "ols_b": -0.005,23 "ols_se_hc3": 0.00724 },25 "H_rarefied15 ~ disposable_income": {26 "n": 16,27 "rho": 0.438,28 "ci": [29 -0.47,30 0.77431 ],32 "ols_b": 0.0,33 "ols_se_hc3": 0.034 },35 "H_rarefied15 ~ log_density": {36 "n": 16,37 "rho": -0.274,38 "ci": [39 -0.707,40 0.51741 ],42 "ols_b": -0.002,43 "ols_se_hc3": 0.002244 },45 "H_norm_M ~ log_population": {46 "n": 17,47 "rho": 0.4,48 "ci": [49 -0.137,50 0.78851 ],52 "ols_b": 0.0296,53 "ols_se_hc3": 0.021554 },55 "H_norm_M ~ log_business_locations": {56 "n": 17,57 "rho": 0.422,58 "ci": [59 -0.131,60 0.80661 ],62 "ols_b": 0.0322,63 "ols_se_hc3": 0.022564 },65 "H_norm_M ~ disposable_income": {66 "n": 17,67 "rho": 0.542,68 "ci": [69 -0.004,70 0.85971 ],72 "ols_b": 0.0,73 "ols_se_hc3": 0.074 },75 "H_norm_M ~ log_density": {76 "n": 17,77 "rho": 0.172,78 "ci": [79 -0.425,80 0.68181 ],82 "ols_b": 0.0093,83 "ols_se_hc3": 0.009384 },85 "eff_cat_M ~ log_population": {86 "n": 17,87 "rho": 0.4,88 "ci": [89 -0.167,90 0.891 ],92 "ols_b": 0.8926,93 "ols_se_hc3": 0.607794 },95 "eff_cat_M ~ log_business_locations": {96 "n": 17,97 "rho": 0.422,98 "ci": [99 -0.132,100 0.805101 ],102 "ols_b": 0.9632,103 "ols_se_hc3": 0.624104 },105 "eff_cat_M ~ disposable_income": {106 "n": 17,107 "rho": 0.542,108 "ci": [109 -0.008,110 0.861111 ],112 "ols_b": 0.0005,113 "ols_se_hc3": 0.0002114 },115 "eff_cat_M ~ log_density": {116 "n": 17,117 "rho": 0.172,118 "ci": [119 -0.421,120 0.663121 ],122 "ols_b": 0.2645,123 "ols_se_hc3": 0.2704124 },125 "log_stores_per_100k ~ log_population": {126 "n": 17,127 "rho": -0.194,128 "ci": [129 -0.608,130 0.307131 ],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 -0.715,140 0.347141 ],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 -0.506,150 0.469151 ],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": 0.449,167 "loo_pred_spearman": 0.338,168 "criterion_rho_ge_0.5": false,169 "partial_corr_eci_diversity_given_covariates": 0.029170 }171}