{"id":"W2021021566","doi":"10.1002/cjs.5550350202","title":"On the multivariate spatial median for clustered data","year":2007,"lang":"en","type":"article","venue":"Canadian Journal of Statistics","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"HEC Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Academy of Finland","keywords":"Multivariate statistics; Estimator; Nonparametric statistics; Affine transformation; Mathematics; Statistics; Equivariant map; Sample (material); Multivariate analysis; Invariant (physics); Categorical variable; Spatial analysis; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.03469561,0.0007418056,0.00262498,0.003502854,0.0009100738,0.002339275,0.003212023,0.002468417,0.004116825],"category_scores_gemma":[0.1687796,0.000632705,0.001403569,0.004878963,0.005365359,0.005011934,0.003915145,0.002618688,0.0005548296],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00157743,"about_ca_system_score_gemma":0.001519659,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002161832,"about_ca_topic_score_gemma":0.0009644764,"domain_scores_codex":[0.9814306,0.01366666,0.0005120641,0.001865586,0.002092198,0.00043285],"domain_scores_gemma":[0.8512856,0.1263398,0.006090609,0.00837541,0.00693688,0.000971723],"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":[0.0003524866,0.00008856141,0.009074922,0.0003049478,0.0003616025,0.0003370292,0.0004269222,0.2316622,0.001038887,0.6352057,0.00273631,0.1184103],"study_design_scores_gemma":[0.00005025042,0.0001371264,0.002750864,0.0000887253,0.00005577427,0.0001474111,0.0001461222,0.5507063,0.001316034,0.4416822,0.002866981,0.00005228312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02431705,0.0003621699,0.9732968,0.0005118774,0.00004637273,0.00004360056,0.0001282196,0.0001271272,0.00116673],"genre_scores_gemma":[0.5821295,0.001133636,0.4113264,0.0005084253,0.0005503662,0.0004275122,0.0007631829,0.0002675688,0.002893278],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.03469561,"threshold_uncertainty_score":0.1834901,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3276946274283077,"score_gpt":0.4316968269845686,"score_spread":0.1040021995562608,"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."}}