{"id":"W2009922756","doi":"10.3103/s1066530708040066","title":"Models with a Kronecker product covariance structure: Estimation and testing","year":2008,"lang":"en","type":"article","venue":"Mathematical Methods of Statistics","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":145,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Kronecker product; Estimator; Covariance matrix; Covariance; Restricted maximum likelihood; Likelihood-ratio test; Multivariate random variable; Applied mathematics; Statistics; M-estimator; Combinatorics; Maximum likelihood; Kronecker delta; Random variable","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":[0.03759372,0.001828301,0.003450297,0.00282275,0.00094768,0.00388105,0.003782851,0.003980383,0.003126813],"category_scores_gemma":[0.1745825,0.001761229,0.002141066,0.003382383,0.008797057,0.008926051,0.00338461,0.004491123,0.0007390626],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00159275,"about_ca_system_score_gemma":0.002207316,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00344413,"about_ca_topic_score_gemma":0.001771961,"domain_scores_codex":[0.9604002,0.03098542,0.001020757,0.003531711,0.003072981,0.0009888893],"domain_scores_gemma":[0.737895,0.2351832,0.01344874,0.008108448,0.00450828,0.0008565193],"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":[0.0002306777,0.0002101557,0.01389303,0.0003313167,0.0005574037,0.0006136202,0.0005078883,0.2706366,0.000522192,0.6580621,0.001368444,0.05306649],"study_design_scores_gemma":[0.00004215852,0.0001312445,0.001693165,0.00009645665,0.00005481451,0.0002520482,0.00008998408,0.5719258,0.0003604777,0.4243524,0.0009302834,0.00007128598],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02549183,0.0005469607,0.9718726,0.0007483563,0.0000438778,0.00005895682,0.0001267406,0.0001362789,0.0009742653],"genre_scores_gemma":[0.6695353,0.001900408,0.3224014,0.0006173776,0.0003744374,0.0009455624,0.0007520901,0.0001209428,0.003352444],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.03759372,"threshold_uncertainty_score":0.198817,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1391226804794207,"score_gpt":0.3917810642470375,"score_spread":0.2526583837676167,"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."}}