{"id":"W2111882304","doi":"10.1007/s11336-005-1284-z","title":"On the Asymptotic Distribution of Pearson’s <i>X</i><sup>2</sup> in Cross-Validation Samples","year":2006,"lang":"en","type":"article","venue":"Psychometrika","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Ministerio de Ciencia y Tecnología","keywords":"Mathematics; Estimator; Goodness of fit; Categorical variable; Statistics; Cross-validation; Pearson's chi-squared test; Sample (material); Degrees of freedom (physics and chemistry); Statistic; Chi-square test; Sample size determination; Model selection; Asymptotic distribution; Applied mathematics; Statistical hypothesis testing; Test statistic","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000953442,0.0001466291,0.0002585541,0.0001521397,0.00007228628,0.00003484471,0.0001696045,0.00007790475,0.0001068713],"category_scores_gemma":[0.004936539,0.0001050189,0.00007747181,0.000807352,0.0001010481,0.00008195062,0.00002186606,0.0001763964,0.00001458845],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007518459,"about_ca_system_score_gemma":0.0000138045,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000053224,"about_ca_topic_score_gemma":0.000005780425,"domain_scores_codex":[0.9984878,0.0001736234,0.0004816128,0.0002549827,0.0003462126,0.0002557333],"domain_scores_gemma":[0.9942362,0.005114128,0.0001659811,0.0003519098,0.00009509512,0.0000367243],"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":[0.00007689254,0.0004037534,0.0043066,0.00006394129,0.00001117894,0.000001244566,0.0001046924,0.00213227,0.000204514,0.984174,0.001862313,0.006658659],"study_design_scores_gemma":[0.0006047918,0.0001018097,0.0240815,0.00006959763,0.00001485592,0.000001564573,0.00005028115,0.002306213,0.00161805,0.970156,0.000851644,0.0001437261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4980513,0.00004422709,0.5000499,0.0001476299,0.00005561548,0.0002297535,0.0001628714,0.00002374745,0.001235017],"genre_scores_gemma":[0.9579194,0.00001639271,0.04166502,0.0000378029,0.00005871922,0.00003185291,0.00005441145,0.00001949978,0.0001968743],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4598682,"threshold_uncertainty_score":0.5909855,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09889258107028245,"score_gpt":0.4062615995698587,"score_spread":0.3073690184995763,"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."}}