{"id":"https://openalex.org/W4385659433","doi":"https://doi.org/10.1080/03610918.2023.2245174","title":"The distribution of the Anderson Darling statistic","display_name":"The distribution of the Anderson Darling statistic","publication_year":2023,"publication_date":"2023-08-08","ids":{"openalex":"https://openalex.org/W4385659433","doi":"https://doi.org/10.1080/03610918.2023.2245174"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2023.2245174","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2023.2245174","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011224904","display_name":"Douglas M. Hawkins","orcid":"https://orcid.org/0000-0002-5983-921X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Douglas M. Hawkins","raw_affiliation_strings":["School of Statistics, University of Minnesota","School of Statistics, University of Minnesota, Minneapolis, Minnesota, USA"],"raw_orcid":"https://orcid.org/0000-0002-5983-921X","affiliations":[{"raw_affiliation_string":"School of Statistics, University of Minnesota","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"School of Statistics, University of Minnesota, Minneapolis, Minnesota, USA","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011224904"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":1.8498,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86735698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"53","issue":"12","first_page":"6022","last_page":"6026"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9797999858856201,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9399999976158142,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/power-transform","display_name":"Power transform","score":0.6496040225028992},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.6165722012519836},{"id":"https://openalex.org/keywords/normality","display_name":"Normality","score":0.5918264389038086},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.568993091583252},{"id":"https://openalex.org/keywords/anderson\u2013darling-test","display_name":"Anderson\u2013Darling test","score":0.5439536571502686},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.5149232149124146},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4981510639190674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4876038134098053},{"id":"https://openalex.org/keywords/null-distribution","display_name":"Null distribution","score":0.4770728349685669},{"id":"https://openalex.org/keywords/null-hypothesis","display_name":"Null hypothesis","score":0.4666440784931183},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4663621187210083},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4552740454673767},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4232121706008911},{"id":"https://openalex.org/keywords/normality-test","display_name":"Normality test","score":0.41083085536956787},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.3979196846485138},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3752104640007019},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37097281217575073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.247523695230484},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2157973051071167},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.16305217146873474},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12287113070487976},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08992889523506165},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.061840713024139404}],"concepts":[{"id":"https://openalex.org/C208788","wikidata":"https://www.wikidata.org/wiki/Q895499","display_name":"Power transform","level":3,"score":0.6496040225028992},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.6165722012519836},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.5918264389038086},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.568993091583252},{"id":"https://openalex.org/C187758679","wikidata":"https://www.wikidata.org/wiki/Q491401","display_name":"Anderson\u2013Darling test","level":4,"score":0.5439536571502686},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.5149232149124146},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4981510639190674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4876038134098053},{"id":"https://openalex.org/C120639","wikidata":"https://www.wikidata.org/wiki/Q7068958","display_name":"Null distribution","level":4,"score":0.4770728349685669},{"id":"https://openalex.org/C191988596","wikidata":"https://www.wikidata.org/wiki/Q628374","display_name":"Null hypothesis","level":2,"score":0.4666440784931183},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4663621187210083},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4552740454673767},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4232121706008911},{"id":"https://openalex.org/C85031952","wikidata":"https://www.wikidata.org/wiki/Q3026029","display_name":"Normality test","level":3,"score":0.41083085536956787},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.3979196846485138},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3752104640007019},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37097281217575073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.247523695230484},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2157973051071167},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.16305217146873474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12287113070487976},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08992889523506165},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.061840713024139404},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2023.2245174","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2023.2245174","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W129305155","https://openalex.org/W2031797820","https://openalex.org/W2048265032","https://openalex.org/W2336609876","https://openalex.org/W4240344239","https://openalex.org/W4251428492","https://openalex.org/W6607003260","https://openalex.org/W6869334809"],"related_works":["https://openalex.org/W2550328588","https://openalex.org/W2058039291","https://openalex.org/W2050297329","https://openalex.org/W2083592401","https://openalex.org/W1981110247","https://openalex.org/W2013632729","https://openalex.org/W1998102414","https://openalex.org/W4239981767","https://openalex.org/W2077655905","https://openalex.org/W2164145443"],"abstract_inverted_index":{"The":[0],"Anderson-Darling":[1],"test":[2],"for":[3,7],"normality":[4],"is":[5,11,18,49],"attractive":[6],"heavy-tailed":[8],"alternatives,":[9],"and":[10,21,48],"easy":[12],"to":[13],"compute.":[14],"Its":[15],"null":[16],"distribution":[17],"not":[19],"known,":[20],"p":[22],"values":[23],"are":[24],"currently":[25],"computed":[26],"using":[27,36],"a":[28],"simulation-based":[29],"approximation":[30,42],"with":[31],"17":[32],"parameters.":[33],"An":[34],"alternative":[35],"the":[37,55],"Box-Cox":[38],"transformation":[39],"gives":[40],"an":[41],"which":[43],"uses":[44],"only":[45],"5":[46],"parameters":[47],"also":[50],"more":[51],"accurate,":[52],"particularly":[53],"in":[54],"relevant":[56],"tail":[57],"area.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2025-10-10T00:00:00"}
