1{2 "labelling": "rule",3 "holm_family": [4 "H1",5 "H2",6 "H3",7 "H5-T1",8 "H5-T2"9 ],10 "registry": [11 {12 "id": "H1",13 "statement": "Online assortment composition differs across regions beyond what merchant counts imply",14 "primary_statistic": "Cramér's V (M) = 0.105, store-reshuffle p = 0.0005; (T) V = 0.159, p = 0.488; (L) p = 0.045",15 "p_raw": 0.4877561219390305,16 "p_holm": 0.975512243878061,17 "status": "not supported (preregistered joint criterion)",18 "note": "Preregistered criterion required p < 0.05 under both merchant-equal and trimmed-listing weights; merchant-equal p = 0.0005, trimmed p = 0.488. The merchant-equal dependence is reported as a descriptive, non-preregistered finding; the listing-weighted null is a power-limited result (null SD much larger under L/T)."19 },20 {21 "id": "H2",22 "statement": "Regional diversity is associated with regional scale",23 "primary_statistic": "Spearman rho(rarefied entropy, log population) = -0.10, 95% CI [-0.68; 0.59], n = 16",24 "p_raw": 0.7093765752569645,25 "p_holm": 0.975512243878061,26 "status": "inconclusive",27 "note": "CI includes zero and economically meaningful values in both directions; n = 16 regions. No association with business counts or density either (see table)."28 },29 {30 "id": "H3",31 "statement": "Merchant catalogue sizes are highly skewed",32 "primary_statistic": "Gini = 0.849 [0.811; 0.878]; top-10% share = 0.789 [0.730; 0.836]",33 "p_raw": null,34 "p_holm": null,35 "status": "supported",36 "note": "Both preregistered thresholds (Gini >= 0.70, top-10% >= 0.50) exceeded with CIs entirely above them; power-law tail favoured over log-normal on the tail."37 },38 {39 "id": "H4",40 "statement": "Related diversification (exploratory)",41 "primary_statistic": "LPM density coefficient 0.093 (SE 0.054), placebo p = 0.055; 153 entries; 2 region-level entries",42 "p_raw": null,43 "p_holm": null,44 "status": "exploratory: consistent with relatedness at the store level; region level untestable",45 "note": "Fewer than 10 region-level entries (preregistered untestability rule); store-level association over 5 weeks, no causal claim."46 },47 {48 "id": "H5-T1",49 "statement": "Matched-product prices are geographically structured",50 "primary_statistic": "Wald(14) = 164.2, wild-cluster-bootstrap p = 0.0975; 1064 groups, 143 stores, 9 regions with >= 5 stores",51 "p_raw": 0.0975,52 "p_holm": 0.2925,53 "status": "not supported",54 "note": "Region effects identified only through groups spanning regions; posted prices, no shipping/taxes. Wild cluster bootstrap with group-demeaned disturbances (corrected after referee 1); leave-one-region-out Wald: {'Abitibi-Témiscamingue': 163.81, 'Capitale-Nationale': 141.04, 'Centre-du-Québec': 128.76, 'Chaudière-Appalaches': 162.46, 'Côte-Nord': 152.42, 'Estrie': 162.58, 'Gaspésie–Îles-de-la-Madeleine': 162.96, 'Lanaudière': 87.95, 'Laurentides': 161.58, 'Laval': 163.22, 'Mauricie': 163.99, 'Montérégie': 162.41, 'Outaouais': 51.35, 'Saguenay–Lac-Saint-Jean': 163.63}."55 },56 {57 "id": "H5-T2",58 "statement": "Matched-product prices are competitively structured (reseller vs producer)",59 "primary_statistic": "reseller coefficient -0.116 (SE 0.026), wild-bootstrap p = 0.0041",60 "p_raw": 0.0041,61 "p_holm": 0.0164,62 "status": "supported",63 "note": "Resellers/collectives post lower prices than producers for the same product."64 },65 {66 "id": "H6",67 "statement": "Local-origin price premium",68 "primary_statistic": "not estimated",69 "p_raw": null,70 "p_holm": null,71 "status": "untestable (declared ex ante)",72 "note": "No product-level provenance; a store-certification contrast is reported descriptively and is not H6."73 },74 {75 "id": "H7",76 "statement": "Validated digital-assortment complexity indicator",77 "primary_statistic": "ECI bootstrap rank stability median rho = 0.27 (criterion 0.8); lambda2 null p = 0.36; LOO predictive rho = 0.34",78 "p_raw": null,79 "p_holm": null,80 "status": "not validated: ECI unstable at 17 x 20; omitted from QDACI",81 "note": "Fitness and plain diversity are more stable but still below the criterion; the region-category matrix is not more nested than the store-reshuffle null."82 },83 {84 "id": "QDACI",85 "statement": "Composite index",86 "primary_statistic": "median agreement across weightings rho = 0.67 (rule 0.7); bootstrap rank stability 0.50",87 "p_raw": null,88 "p_holm": null,89 "status": "components published; composite withheld",90 "note": "Components describe observed online catalogues of Quebec-based merchants, not production or output. Complexity omitted because the ECI failed the preregistered stability criterion."91 }92 ]93}