{"id":"W1982733046","doi":"10.1198/016214506000000096","title":"Principal Components Analysis Based on Multivariate MM Estimators With Fast and Robust Bootstrap","year":2006,"lang":"en","type":"article","venue":"Journal of the American Statistical Association","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":144,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia; Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Estimator; Principal component analysis; Mathematics; Asymptotic distribution; Robustness (evolution); Multivariate statistics; Consistency (knowledge bases); Eigenvalues and eigenvectors; Inference; M-estimator; Robust statistics; Statistics; Computer science; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"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":[0.009147506,0.0014777,0.001394262,0.002390618,0.0006348484,0.001700816,0.001756261,0.001412375,0.002690873],"category_scores_gemma":[0.04436691,0.0006393261,0.00182974,0.003712782,0.001626786,0.002577918,0.002104023,0.002365089,0.001299329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005155364,"about_ca_system_score_gemma":0.00112327,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001378936,"about_ca_topic_score_gemma":0.001066328,"domain_scores_codex":[0.9942543,0.00382827,0.0002147738,0.0006197109,0.0008976245,0.000185318],"domain_scores_gemma":[0.9842798,0.01054987,0.001590847,0.002054262,0.001382616,0.0001426868],"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":[0.0001177476,0.00009419784,0.002739734,0.000452945,0.000468299,0.0001989264,0.0001886387,0.242912,0.006279329,0.4716831,0.004252883,0.2706122],"study_design_scores_gemma":[0.00002466288,0.00009016764,0.001388127,0.00007391257,0.0000648672,0.0001364793,0.00003547081,0.738165,0.003090543,0.2498272,0.007035838,0.00006770888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001571202,0.0002304182,0.9976239,0.00006569749,0.00002064454,0.00002183344,0.00003348256,0.00007710802,0.0003556382],"genre_scores_gemma":[0.08349953,0.001051886,0.9132345,0.000136989,0.0002643998,0.0003863499,0.0002323785,0.0001656353,0.001028249],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.009147506,"threshold_uncertainty_score":0.04837722,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05271612320927879,"score_gpt":0.370291191177527,"score_spread":0.3175750679682482,"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."}}