{"id":"W2004383711","doi":"10.1002/cjs.5550340409","title":"Testing multivariate uniformity: The distance‐to‐boundary method","year":2006,"lang":"en","type":"article","venue":"Canadian Journal of Statistics","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Comunidad de Madrid","keywords":"Curse of dimensionality; Test statistic; Monte Carlo method; Range (aeronautics); Computer science; Statistic; Boundary (topology); Adaptability; Algorithm; Simplicity; Multivariate statistics; Statistical hypothesis testing; Mathematics; Point (geometry); Statistics; Mathematical optimization","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[{"model":"gpt","categories":[],"domain":null,"study_design":"simulation_or_modeling","genre":"methods","about_ca_system":false,"about_ca_topic":false,"confidence":"high","status":"direct model label, unvalidated"},{"model":"grok","categories":[],"domain":null,"study_design":"simulation_or_modeling","genre":"methods","about_ca_system":false,"about_ca_topic":false,"confidence":"high","status":"direct model label, unvalidated"},{"model":"opus","categories":[],"domain":null,"study_design":"simulation_or_modeling","genre":"methods","about_ca_system":false,"about_ca_topic":false,"confidence":"high","status":"direct model label, unvalidated"}],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001203555,0.000174841,0.0003404696,0.0001303985,0.0003829537,0.0001109797,0.0003002591,0.0000537033,0.00005374037],"category_scores_gemma":[0.006856743,0.0001234087,0.00005101054,0.000285555,0.0001404008,0.00009409341,0.0000181667,0.0003727647,0.000005732951],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002176415,"about_ca_system_score_gemma":0.000905736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0033296,"about_ca_topic_score_gemma":0.01449395,"domain_scores_codex":[0.9982849,0.0001921337,0.0006699528,0.0001389051,0.0002624353,0.0004517198],"domain_scores_gemma":[0.9940825,0.004181707,0.0003717254,0.0002246224,0.0006028317,0.0005366403],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001572599,0.00001879409,0.0003149781,0.0000505582,0.00003256737,0.0003628141,0.0003079694,0.00105653,0.0001347542,0.929391,0.01075867,0.05755566],"study_design_scores_gemma":[0.0002583802,0.0001008102,0.002549387,0.0001002431,0.00008244234,0.0001184378,0.0001170655,0.003960499,0.00005118487,0.9701603,0.02232366,0.0001775866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0003724211,0.00007734487,0.9959594,0.0003854434,0.0003436762,0.0001585146,0.0008557939,0.000008683901,0.001838732],"genre_scores_gemma":[0.03883195,0.000001126876,0.9603071,0.0002462534,0.0002513665,0.000003107769,0.000002922746,0.00003576751,0.0003204492],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.05737808,"threshold_uncertainty_score":0.8208657,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1037548780541616,"score_gpt":0.3856898089033652,"score_spread":0.2819349308492036,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}