{"id":"W2034733755","doi":"10.1111/1468-0262.00243","title":"Common Knowledge with Monotone Statistics","year":2001,"lang":"en","type":"article","venue":"Econometrica","topic":"Game Theory and Applications","field":"Decision Sciences","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Statistics; Sufficient statistic; Statistic; Mathematics; Probability and statistics; Ancillary statistic; Partition (number theory); Monotone polygon; Test statistic; Econometrics; Statistical hypothesis testing; Combinatorics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007766508,0.0000851774,0.0001971848,0.0005346543,0.0001404569,0.0001316509,0.0005009947,0.000029218,0.002725655],"category_scores_gemma":[0.0004075489,0.00006123228,0.00002917268,0.002713358,0.0001018242,0.0001425826,0.00006289334,0.00008302786,0.006373256],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000282414,"about_ca_system_score_gemma":0.0000300879,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007970053,"about_ca_topic_score_gemma":0.00003397796,"domain_scores_codex":[0.9989873,0.00006001245,0.0003245516,0.0002817297,0.000172205,0.0001742061],"domain_scores_gemma":[0.9973801,0.001699123,0.0001339009,0.0005529224,0.0001084244,0.0001255342],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00007290659,0.0004883053,0.09621101,0.000002367295,0.00003379932,0.00001384234,0.0005723613,0.0002805627,0.00002364935,0.3461788,0.04843986,0.5076826],"study_design_scores_gemma":[0.0003104348,0.0001262221,0.08481712,0.000002056761,0.000008926949,0.00001745099,0.0002428448,0.001258977,0.00009543746,0.1520265,0.7609246,0.0001693743],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4978852,0.000254292,0.1187702,0.0007496575,0.0001056359,0.0002333433,0.00009492219,0.00006796959,0.3818387],"genre_scores_gemma":[0.9835953,0.00002267959,0.002882372,0.00009584372,0.00004901022,0.00002517009,0.00000611196,0.000007957971,0.01331561],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7124848,"threshold_uncertainty_score":0.998186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1284950790698639,"score_gpt":0.3984201426890689,"score_spread":0.269925063619205,"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."}}