{"id":"W4401666269","doi":"10.1007/s00180-024-01537-7","title":"A theory of contrasts for modified Freeman–Tukey statistics and its applications to Tukey’s post-hoc tests for contingency tables","year":2024,"lang":"en","type":"article","venue":"Computational Statistics","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Contingency table; Statistics; Mathematics; Scheffé's method; Pairwise comparison; Statistic; Post hoc; Tukey's range test; Statistical hypothesis testing; Chi-square test; Monte Carlo method; Post-hoc analysis; Econometrics; Analysis of variance","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":[0.03681835,0.003490498,0.003913353,0.006296426,0.002625187,0.005078136,0.008479124,0.002922035,0.01133631],"category_scores_gemma":[0.100372,0.00243136,0.005693722,0.008627469,0.006772927,0.007301035,0.004637149,0.01191133,0.004597818],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002904476,"about_ca_system_score_gemma":0.005519475,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001937571,"about_ca_topic_score_gemma":0.002140232,"domain_scores_codex":[0.9642797,0.02197438,0.002305879,0.00402139,0.006666063,0.0007526224],"domain_scores_gemma":[0.9269068,0.05499712,0.002804128,0.007637182,0.006891977,0.0007627076],"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":[0.0002266169,0.0001844501,0.0006328649,0.001011062,0.0004235978,0.0002844343,0.001246213,0.01733511,0.006004704,0.7228393,0.01694865,0.232863],"study_design_scores_gemma":[0.00006789745,0.0003448469,0.001096487,0.0002337108,0.0001436948,0.0004957566,0.0001862402,0.06193403,0.003678893,0.8892328,0.04239853,0.0001870282],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0002179513,0.0001248993,0.9987738,0.00007116408,0.0001035181,0.0000627604,0.00005931979,0.0001628347,0.0004238833],"genre_scores_gemma":[0.006442674,0.000340464,0.9906595,0.0001427762,0.0001934595,0.001153891,0.0001455779,0.0003247999,0.0005968828],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.03681835,"threshold_uncertainty_score":0.1947163,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1138495038775246,"score_gpt":0.4345488693239364,"score_spread":0.3206993654464118,"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."}}