{"doi":"10.1002/0470013192.bsa051","title":"Binomial Distribution: Estimating and Testing Parameters","abstract":"<jats:title>Abstract</jats:title>\n          <jats:p>We consider categorical variables with only two possible values. Such data are referred to as binary data, Bernoulli variables, dichotomous data, and sometimes as 0/1 data. In contrast with continuous data, which are generally summarized with sums and averages, binary data are generally summarized with counts and proportions. The binomial distribution is generally used to model the proportion of binary trials that result in a given outcome. When testing a binomial population to determine if the success probability appears to be a given specified value, the binomial test is used.</jats:p>","journal":"Encyclopedia of Statistics in Behavioral Science","year":2005,"id":24200,"datarank":0.2655355857178426,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"self_citation_contribution":0.20794415416798362,"citation_network_contribution":0.05759143154985898,"self_endowment_contribution":0.20794415416798362,"citer_contribution":0.05759143154985898,"corpus_percentile":null,"corpus_rank":null,"citation_count":3,"citer_count":3,"citers_with_citation_signal":3,"citers_with_endowment":3,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":146034,"name":"YanYan Zhou","orcid":null,"position":1,"is_corresponding":false},{"id":79192,"name":"Vance W. Berger","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24523987","pmcid":null,"openalex_id":"https://openalex.org/W1516660483","authors":[],"funders":[],"total_grants":0,"fwci":null,"citation_percentile":null,"influential_citations":0,"citation_trend":[{"year":2014,"count":1},{"year":2020,"count":1}],"oa_status":"closed","license":"http://doi.wiley.com/10.1002/tdm_license_1.1","oa_locations":[{"url":"https://onlinelibrary.wiley.com/doi/pdf/10.1002/0470013192.bsa051","host_type":"publisher"},{"url":"https://doi.org/10.1002/0470013192.bsa051","host_type":"journal"}],"fields_of_study":["Statistical Methods in Clinical Trials","Advanced Statistical Methods and Models","Optimal Experimental Design Methods","Mathematics"],"mesh_terms":[],"keywords":["Categorical variable","Statistics","Binomial distribution","Binary data","Bernoulli trial","Mathematics","Beta-binomial distribution","Binomial proportion confidence interval","Continuity correction","Binomial (polynomial)","Negative binomial distribution","Binomial test","Count data","Binary number","Econometrics","Poisson distribution"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T21:50:55.374532Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}