{"id":"W2137679700","doi":"10.2307/3315999","title":"Theory of optimal blocking of nonregular factorial designs","year":2004,"lang":"en","type":"article","venue":"Canadian Journal of Statistics","topic":"Optimal Experimental Design Methods","field":"Decision Sciences","cited_by":23,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Fractional factorial design; Factorial experiment; Mathematics; Factorial; Blocking (statistics); Block (permutation group theory); Coding theory; Type (biology); Coding (social sciences); Orthogonal array; Block design; Plackett–Burman design; Designtheory; Arithmetic; Mathematical optimization; Computer science; Discrete mathematics; Combinatorics; Statistics; 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":[0.003872822,0.0001367242,0.0005004619,0.0005365635,0.00007715916,0.00006726994,0.0007304581,0.00008608562,0.0005670245],"category_scores_gemma":[0.00584184,0.0001129288,0.0001296514,0.0004103516,0.0004318974,0.0001902949,0.00002258438,0.0001965737,0.000007126215],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001775774,"about_ca_system_score_gemma":0.002478608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000765149,"about_ca_topic_score_gemma":0.0004245038,"domain_scores_codex":[0.9970365,0.0003846519,0.001210396,0.0001465636,0.0009456806,0.0002762197],"domain_scores_gemma":[0.9955806,0.001575634,0.0009899933,0.0002691626,0.00103108,0.000553572],"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":[0.0008953742,0.0002369653,0.005413784,0.00005850847,0.0004394464,0.001582049,0.01973847,0.07687231,0.1668137,0.6169748,0.006945543,0.104029],"study_design_scores_gemma":[0.003691468,0.0031256,0.01018817,0.0003144589,0.0002056991,0.000428852,0.007527324,0.0006096064,0.2852256,0.6842154,0.003839712,0.0006281582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08712053,0.0003397439,0.9105096,0.00003032135,0.001074848,0.00008089328,0.0003241372,0.000001433499,0.0005184679],"genre_scores_gemma":[0.5922801,0.000003667335,0.4075503,0.00001692643,0.00009476551,2.185196e-7,7.552906e-7,0.00001032101,0.00004294054],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5051596,"threshold_uncertainty_score":0.699365,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1864454225870328,"score_gpt":0.3933985522755768,"score_spread":0.206953129688544,"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."}}