{"id":"W2474061224","doi":"10.1037/xge0000094","title":"Rethinking the implications of numerical ratio effects for understanding the development of representational precision and numerical processing across formats.","year":2015,"lang":"en","type":"article","venue":"Journal of Experimental Psychology General","topic":"Cognitive and developmental aspects of mathematical skills","field":"Mathematics","cited_by":99,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canadian Institutes of Health Research; Deutsche Forschungsgemeinschaft","keywords":"Psychology; Aspect ratio (aeronautics); Golden ratio; Representation (politics); Cognitive psychology; Statistics; Arithmetic; Mathematics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.01551893,0.0008195739,0.0005443925,0.004162108,0.0006679157,0.003395775,0.001788997,0.0008342922,0.003080662],"category_scores_gemma":[0.08109912,0.0003607604,0.001122075,0.001948515,0.006989143,0.01034546,0.003509817,0.004369187,0.0003534465],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007202715,"about_ca_system_score_gemma":0.001194154,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006115574,"about_ca_topic_score_gemma":0.01184981,"domain_scores_codex":[0.994404,0.001987266,0.0005263462,0.001589026,0.001323562,0.0001698505],"domain_scores_gemma":[0.9315487,0.04793913,0.00730146,0.009258174,0.003060099,0.0008924492],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0005133422,0.0001868823,0.5572376,0.0009035714,0.0008643439,0.001136407,0.02093045,0.003207342,0.02203244,0.1204844,0.005726389,0.2667768],"study_design_scores_gemma":[0.0000334997,0.0003718496,0.8335744,0.0004153545,0.0002867895,0.001466475,0.004942774,0.005927254,0.01105065,0.124187,0.01757636,0.0001676077],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8302919,0.01025237,0.120121,0.01230644,0.0008449492,0.0001349806,0.001427828,0.0005050472,0.02411538],"genre_scores_gemma":[0.965753,0.001152544,0.03053642,0.001056367,0.0001402458,0.00007298413,0.0002500149,0.0001392886,0.0008990906],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01551893,"threshold_uncertainty_score":0.08207285,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1789363109802418,"score_gpt":0.4589211032404982,"score_spread":0.2799847922602564,"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."}}