{"id":"https://openalex.org/W4313433257","doi":"https://doi.org/10.1080/03610918.2022.2155313","title":"Parametric testing for normality against bimodal and unimodal alternatives using higher moments","display_name":"Parametric testing for normality against bimodal and unimodal alternatives using higher moments","publication_year":2023,"publication_date":"2023-01-02","ids":{"openalex":"https://openalex.org/W4313433257","doi":"https://doi.org/10.1080/03610918.2022.2155313"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2022.2155313","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2155313","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/A5018410355","display_name":"Geoffrey Poitras","orcid":"https://orcid.org/0000-0003-0479-5130"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Geoffrey Poitras","raw_affiliation_strings":["Beedie School of Business, Simon Fraser University, Vancouver, BC, Canada"],"affiliations":[{"raw_affiliation_string":"Beedie School of Business, Simon Fraser University, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018410355"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":0.3474,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57532722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"53","issue":"10","first_page":"4771","last_page":"4789"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9869999885559082,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9869999885559082,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9768999814987183,"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":0.9671000242233276,"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/studentized-range","display_name":"Studentized range","score":0.89022296667099},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7618778944015503},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6580802202224731},{"id":"https://openalex.org/keywords/normality-test","display_name":"Normality test","score":0.6253427267074585},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6040443181991577},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5955966114997864},{"id":"https://openalex.org/keywords/sample-size-determination","display_name":"Sample size determination","score":0.5389360785484314},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5362474322319031},{"id":"https://openalex.org/keywords/goodness-of-fit","display_name":"Goodness of fit","score":0.5284172296524048},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5096874237060547},{"id":"https://openalex.org/keywords/normality","display_name":"Normality","score":0.49499648809432983},{"id":"https://openalex.org/keywords/method-of-moments","display_name":"Method of moments (probability theory)","score":0.483146607875824},{"id":"https://openalex.org/keywords/edgeworth-series","display_name":"Edgeworth series","score":0.4570711553096771},{"id":"https://openalex.org/keywords/omnibus-test","display_name":"Omnibus test","score":0.45160895586013794},{"id":"https://openalex.org/keywords/asymptotic-distribution","display_name":"Asymptotic distribution","score":0.41423317790031433},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3582495450973511},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.348842054605484},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.13012856245040894},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.11577904224395752},{"id":"https://openalex.org/keywords/standard-deviation","display_name":"Standard deviation","score":0.07172590494155884}],"concepts":[{"id":"https://openalex.org/C125918824","wikidata":"https://www.wikidata.org/wiki/Q7627920","display_name":"Studentized range","level":3,"score":0.89022296667099},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7618778944015503},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6580802202224731},{"id":"https://openalex.org/C85031952","wikidata":"https://www.wikidata.org/wiki/Q3026029","display_name":"Normality test","level":3,"score":0.6253427267074585},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6040443181991577},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5955966114997864},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.5389360785484314},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5362474322319031},{"id":"https://openalex.org/C132480984","wikidata":"https://www.wikidata.org/wiki/Q2034239","display_name":"Goodness of fit","level":2,"score":0.5284172296524048},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5096874237060547},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.49499648809432983},{"id":"https://openalex.org/C2780033567","wikidata":"https://www.wikidata.org/wiki/Q6823720","display_name":"Method of moments (probability theory)","level":3,"score":0.483146607875824},{"id":"https://openalex.org/C160817175","wikidata":"https://www.wikidata.org/wiki/Q5337942","display_name":"Edgeworth series","level":2,"score":0.4570711553096771},{"id":"https://openalex.org/C77904505","wikidata":"https://www.wikidata.org/wiki/Q1669154","display_name":"Omnibus test","level":3,"score":0.45160895586013794},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.41423317790031433},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3582495450973511},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.348842054605484},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.13012856245040894},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.11577904224395752},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.07172590494155884},{"id":"https://openalex.org/C99454951","wikidata":"https://www.wikidata.org/wiki/Q932068","display_name":"Environmental health","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2022.2155313","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2155313","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":66,"referenced_works":["https://openalex.org/W1481794564","https://openalex.org/W1542545459","https://openalex.org/W1862797979","https://openalex.org/W1975107026","https://openalex.org/W1977905491","https://openalex.org/W1986263287","https://openalex.org/W1990965646","https://openalex.org/W1991567646","https://openalex.org/W1997815485","https://openalex.org/W2002286769","https://openalex.org/W2007472055","https://openalex.org/W2018327313","https://openalex.org/W2020235962","https://openalex.org/W2022852240","https://openalex.org/W2029970891","https://openalex.org/W2031797820","https://openalex.org/W2033582774","https://openalex.org/W2033602836","https://openalex.org/W2039712080","https://openalex.org/W2041454187","https://openalex.org/W2044969303","https://openalex.org/W2045907900","https://openalex.org/W2052548864","https://openalex.org/W2053454556","https://openalex.org/W2065226659","https://openalex.org/W2079615115","https://openalex.org/W2086632566","https://openalex.org/W2087805203","https://openalex.org/W2125714858","https://openalex.org/W2126033117","https://openalex.org/W2127923747","https://openalex.org/W2139052329","https://openalex.org/W2166953308","https://openalex.org/W2206193224","https://openalex.org/W2238007665","https://openalex.org/W2343972669","https://openalex.org/W2488678869","https://openalex.org/W2586730450","https://openalex.org/W2613936146","https://openalex.org/W2760449296","https://openalex.org/W2768700848","https://openalex.org/W2895772175","https://openalex.org/W2896759755","https://openalex.org/W2972698591","https://openalex.org/W3123118004","https://openalex.org/W3161399123","https://openalex.org/W3194243666","https://openalex.org/W4205690089","https://openalex.org/W4206302131","https://openalex.org/W4229938797","https://openalex.org/W4230173782","https://openalex.org/W4232212680","https://openalex.org/W4232622188","https://openalex.org/W4233014035","https://openalex.org/W4238232910","https://openalex.org/W4240874411","https://openalex.org/W4243295554","https://openalex.org/W4243978670","https://openalex.org/W4249772157","https://openalex.org/W4255783720","https://openalex.org/W4294373530","https://openalex.org/W4299639444","https://openalex.org/W4300185665","https://openalex.org/W4301420317","https://openalex.org/W4302592497","https://openalex.org/W6686294705"],"related_works":["https://openalex.org/W2115824941","https://openalex.org/W2166684980","https://openalex.org/W1541227538","https://openalex.org/W2006282518","https://openalex.org/W1993814060","https://openalex.org/W2139032998","https://openalex.org/W2092937466","https://openalex.org/W42891950","https://openalex.org/W2004139412","https://openalex.org/W2067820762"],"abstract_inverted_index":{"This":[0],"study":[1],"examines":[2],"population":[3],"and":[4,12,26,32,40,65,82,88,97,106,125],"small":[5],"sample":[6,84],"properties":[7],"of":[8,56,92],"the":[9,16,45,60,79,86,93,98,110,123],"standardized":[10,80],"fifth":[11,124],"sixth":[13,113,126],"moments":[14,62,114,127],"\u2013":[15,19],"\u201chigher":[17],"moments\u201d":[18],"for":[20,34,44,135,142],"assessing":[21],"univariate":[22],"normality":[23,132],"against":[24],"bimodal":[25,36,136],"selected":[27,35],"unimodal":[28,144],"alternatives.":[29,145],"Population":[30],"parameters":[31],"distributions":[33],"mixtures":[37],"are":[38,115],"calculated":[39],"contrasted":[41],"with":[42,74],"those":[43],"normal":[46,137],"distribution.":[47],"Using":[48],"Gram-Charlier":[49],"series":[50],"expansion":[51],"methods,":[52],"an":[53],"omnibus":[54,99],"goodness":[55],"fit":[57],"test":[58,72,96,133],"incorporating":[59,122],"higher":[61],"is":[63],"specified":[64],"Monte":[66],"Carlo":[67],"simulation":[68],"used":[69],"to":[70],"compare":[71],"power":[73,134],"parametric":[75,131],"tests":[76,108],"based":[77],"on":[78],"third":[81,111],"fourth":[83],"moments:":[85],"asymptotic":[87],"size":[89],"corrected":[90],"versions":[91],"Jarque-Bera":[94],"score":[95],"D\u2019Agostino":[100],"K2":[101],"test.":[102],"The":[103,118],"studentized":[104],"range":[105],"directional":[107],"using":[109],"through":[112],"also":[116],"considered.":[117],"results":[119],"demonstrate":[120],"that":[121],"can":[128],"provide":[129],"enhanced":[130],"mixture":[138],"alternatives":[139],"but":[140],"not":[141],"various":[143]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
