{"id":"W1564269117","doi":"10.1111/j.1467-9574.2012.00527.x","title":"Optimum allocation in multivariate stratified random sampling: stochastic matrix mathematical programming","year":2012,"lang":"en","type":"article","venue":"Statistica Neerlandica","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Consejo Nacional de Ciencia y Tecnología; Centre de Recherches Mathématiques","keywords":"Mathematics; Stratified sampling; Multivariate statistics; Covariance matrix; Multivariate normal distribution; Sampling (signal processing); Multivariate t-distribution; Mathematical optimization; Stochastic programming; Matrix (chemical analysis); Sample mean and sample covariance; Covariance; Applied mathematics; Statistics; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01026451,0.001629336,0.002941222,0.001462189,0.0006148744,0.001792125,0.001858729,0.001826184,0.003038248],"category_scores_gemma":[0.02229815,0.001145893,0.002053562,0.002371553,0.0018732,0.001945122,0.001924869,0.002221673,0.0005045309],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00229264,"about_ca_system_score_gemma":0.003290209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003053733,"about_ca_topic_score_gemma":0.002609553,"domain_scores_codex":[0.9902167,0.007934987,0.0001792838,0.0005428591,0.0007482624,0.0003779038],"domain_scores_gemma":[0.9919682,0.006571827,0.0005404257,0.0002595725,0.000440911,0.0002190045],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001824684,0.0001013515,0.0007434284,0.0002924241,0.0001647985,0.00009978221,0.0001210211,0.7525346,0.0008923116,0.2075641,0.001932318,0.03537143],"study_design_scores_gemma":[0.00003237065,0.00006746264,0.0001969888,0.00003281232,0.00003070286,0.00003240806,0.00001989397,0.9055713,0.0003352583,0.0925575,0.001105878,0.00001738696],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002342555,0.0002268846,0.9965837,0.0001816611,0.00002178544,0.00006185113,0.00003193942,0.00003690332,0.000512702],"genre_scores_gemma":[0.200545,0.001979371,0.7918541,0.00031314,0.0002546578,0.001462962,0.0003262895,0.0001812684,0.00308318],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01026451,"threshold_uncertainty_score":0.05428451,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1144493530342929,"score_gpt":0.4381424851013472,"score_spread":0.3236931320670543,"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."}}