{"id":"W2968029362","doi":"10.5539/ijsp.v8n5p49","title":"Lack-of-fit Testing for Polynomial Regression Models Without Replications","year":2019,"lang":"en","type":"article","venue":"International Journal of Statistics and Probability","topic":"Advanced Statistical Methods and Models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"King Saud University","keywords":"Covariate; Mathematics; Parametric statistics; Statistics; Polynomial; Replication (statistics); Polynomial regression; Sample size determination; Constant (computer programming); Applied mathematics; Variance (accounting); Zero (linguistics); Regression analysis; Combinatorics; Computer science; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009084229,0.00009785965,0.0002993665,0.00005488755,0.00003556583,0.00002278405,0.0001747006,0.0000460006,0.00001968526],"category_scores_gemma":[0.004130077,0.000074761,0.00005151216,0.00003846126,0.00007815338,0.0001355011,0.00005107903,0.0001250713,3.067915e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004495402,"about_ca_system_score_gemma":0.00009541816,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007844837,"about_ca_topic_score_gemma":0.000002164368,"domain_scores_codex":[0.998704,0.00005651176,0.0006908568,0.0001584257,0.0002863431,0.0001038301],"domain_scores_gemma":[0.9947364,0.002869983,0.0006803415,0.0001510854,0.001489163,0.00007303127],"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":[0.0006169992,0.000290218,0.004995116,0.0003134556,0.0001259563,0.000002964319,0.0004086684,0.0009185359,0.002690803,0.90121,0.0007717328,0.08765557],"study_design_scores_gemma":[0.0006381477,0.0002426417,0.0006518089,0.0001433282,0.00003635321,0.00002409845,0.0000209106,0.03984535,0.0003012249,0.9577221,0.0002957683,0.00007829368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.08771621,0.00003448776,0.9106601,0.0001988564,0.0002532591,0.0002674093,0.0005307987,0.000005360001,0.0003334875],"genre_scores_gemma":[0.3411157,0.00001064356,0.6587179,0.00001999429,0.00006100072,0.000004776176,0.000003253393,0.000008214804,0.00005851435],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2533995,"threshold_uncertainty_score":0.4944386,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2635718800886301,"score_gpt":0.477614040817099,"score_spread":0.2140421607284689,"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."}}