{"id":"W2474739796","doi":"10.5539/ijsp.v5n4p84","title":"On the Existence Conditions for Balanced Fractional $2^{m}$ Factorial Designs of Resolution $\\mathrm{R}^{\\ast}(\\{1\\}|\\mathrm{\\Omega}_{\\ell})$ with $N<\\nu_{\\ell}(m)$","year":2016,"lang":"en","type":"article","venue":"International Journal of Statistics and Probability","topic":"Optimal Experimental Design Methods","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Fractional factorial design; Mathematics; Omega; Resolution (logic); Factorial; Combinatorics; Factorial experiment; Order (exchange); Physics; Mathematical analysis; Statistics; Computer science; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.05346186,0.002721547,0.00407602,0.002134424,0.001320998,0.001763988,0.001892422,0.002968885,0.008639374],"category_scores_gemma":[0.1641244,0.001966309,0.002568465,0.001662559,0.00560654,0.004369577,0.002955769,0.003207849,0.001593175],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001655943,"about_ca_system_score_gemma":0.004579906,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004619379,"about_ca_topic_score_gemma":0.000581293,"domain_scores_codex":[0.9588804,0.02728715,0.002185861,0.00635431,0.003858486,0.00143372],"domain_scores_gemma":[0.7238988,0.2459086,0.01419585,0.00824055,0.005738701,0.002017365],"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":[0.006586743,0.0009838725,0.005623591,0.003103155,0.0006503611,0.0008632342,0.001626214,0.06204165,0.05057133,0.7179368,0.00319158,0.1468215],"study_design_scores_gemma":[0.002875307,0.007375498,0.006458803,0.0009799283,0.0006522864,0.0009173832,0.0003361582,0.2414468,0.04666725,0.6720203,0.01987682,0.0003934403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01796611,0.0004951105,0.9773817,0.0002944518,0.00005008667,0.0004921102,0.0003004203,0.0002050633,0.002814985],"genre_scores_gemma":[0.1159871,0.0004950813,0.8770615,0.000473743,0.0001681287,0.004233259,0.0004007664,0.0001033985,0.001076953],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.05346186,"threshold_uncertainty_score":0.2827367,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1622880970431732,"score_gpt":0.4352030513684682,"score_spread":0.2729149543252949,"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."}}