{"id":"W1981130371","doi":"10.1080/10485250310001622677","title":"The normal, Edgeworth, saddlepoint and uniform approximations to the Wilcoxon–Mann–Whitney null-distribution: a numerical comparison","year":2004,"lang":"en","type":"article","venue":"Journal of nonparametric statistics","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia; Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Edgeworth series; Mathematics; Approximations of π; Wilcoxon signed-rank test; Null hypothesis; Statistic; Test statistic; Statistics; Applied mathematics; Distribution (mathematics); Statistical hypothesis testing; Mann–Whitney U test; Mathematical analysis","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0009283854,0.0002191849,0.000390325,0.0001376817,0.000864664,0.0002553375,0.0004350411,0.00008251402,0.00004888048],"category_scores_gemma":[0.01004243,0.0001343594,0.00009517007,0.001619747,0.0002163166,0.0001184552,0.00008970794,0.0005254504,0.00006920264],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002680022,"about_ca_system_score_gemma":0.0002431196,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001397365,"about_ca_topic_score_gemma":0.00001560576,"domain_scores_codex":[0.9973289,0.0001037718,0.001277098,0.0001783777,0.0007556839,0.0003561441],"domain_scores_gemma":[0.9936609,0.003898641,0.0007944168,0.0003511785,0.0009402562,0.0003546512],"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":[0.00003946527,0.0002871167,0.00008174763,0.00002098717,0.00006436361,0.000006665103,0.0002281195,0.001284606,0.000003236862,0.9403341,0.04788632,0.009763291],"study_design_scores_gemma":[0.003062678,0.001096209,0.03819679,0.0001783527,0.0007305926,0.001010439,0.001904773,0.07908705,0.000199062,0.7639212,0.1098152,0.0007977233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004224959,0.0001675394,0.9862333,0.007130926,0.0002340152,0.0004705866,0.00123143,0.00002803807,0.000279237],"genre_scores_gemma":[0.7150448,0.0001134303,0.2840187,0.0003275761,0.0002035911,0.00004959253,0.0001114256,0.00002456455,0.0001063651],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7108198,"threshold_uncertainty_score":0.9982964,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04819725401094706,"score_gpt":0.3577537309841223,"score_spread":0.3095564769731752,"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."}}