{"id":"W4404200972","doi":"10.1007/978-3-031-71452-8_13","title":"Gaussian Distribution, Confidence Intervals, Binomial (Wald) Proportion, Wilson Score Interval and Delta Theorem","year":2024,"lang":"en","type":"book-chapter","venue":"","topic":"Statistical Distribution Estimation and Applications","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Jewish General Hospital","funders":"","keywords":"Mathematics; Binomial proportion confidence interval; Confidence interval; Statistics; Binomial distribution; Interval (graph theory); Wald test; Negative binomial distribution; Combinatorics; Statistical hypothesis testing; Poisson distribution","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004792992,0.001150849,0.001183117,0.003158322,0.0005614696,0.00349636,0.001703906,0.00180233,0.005916586],"category_scores_gemma":[0.03601754,0.0004813475,0.00053081,0.006397459,0.003299446,0.005010294,0.00114735,0.002873431,0.003112045],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00130634,"about_ca_system_score_gemma":0.0009239585,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002720634,"about_ca_topic_score_gemma":0.001556457,"domain_scores_codex":[0.997435,0.0008800947,0.0001398203,0.0004839489,0.0009840542,0.00007706344],"domain_scores_gemma":[0.9920082,0.005895192,0.0004769319,0.0005410596,0.0009767243,0.0001018828],"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":[0.00006182533,0.0000315925,0.001193637,0.0004120739,0.0000374476,0.0001362236,0.0002118644,0.005498114,0.0004778544,0.7621963,0.03412885,0.1956143],"study_design_scores_gemma":[0.00000829192,0.00002946123,0.00113489,0.0001256962,0.00002455473,0.0004768029,0.00007111517,0.01212884,0.0002644841,0.9581704,0.02753351,0.00003210809],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004780571,0.05447366,0.8673202,0.002160512,0.001233333,0.00005750886,0.0006947164,0.001047947,0.06823162],"genre_scores_gemma":[0.2853833,0.06938694,0.5727285,0.002826071,0.005755177,0.0004992228,0.002128789,0.001498471,0.05979356],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005916586,"threshold_uncertainty_score":0.02534807,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06168775356015106,"score_gpt":0.3315079099482888,"score_spread":0.2698201563881378,"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."}}