{"id":"https://openalex.org/W154919482","doi":null,"title":"Comparative Power Of The Anova, Randomization Anova, And Kruskal-Wallis Test","display_name":"Comparative Power Of The Anova, Randomization Anova, And Kruskal-Wallis Test","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W154919482","mag":"154919482"},"language":"en","primary_location":{"id":"pmh:oai:digitalcommons.wayne.edu:oa_dissertations-1657","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.wayne.edu/oa_dissertations/658","pdf_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1657&context=oa_dissertations","source":{"id":"https://openalex.org/S171990522","display_name":"Human Biology","issn_l":"0018-7143","issn":["0018-7143","1534-6617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wayne State University Dissertations","raw_type":"dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1657&context=oa_dissertations","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045010132","display_name":"Jamie H. Gleason","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jamie H. Gleason","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5045010132"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.6083999872207642,"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/T13500","display_name":"Probability and Statistical Research","score":0.6083999872207642,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.13729999959468842,"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":0.07129999995231628,"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/statistical-power","display_name":"statistical power","score":0.9589999914169312},{"id":"https://openalex.org/keywords/kruskal-wallis-test","display_name":"Kruskal-Wallis test","score":0.9750000238418579},{"id":"https://openalex.org/keywords/non-normal-data","display_name":"non-normal data","score":0.628000020980835},{"id":"https://openalex.org/keywords/rank-tests","display_name":"rank tests","score":0.7730000019073486},{"id":"https://openalex.org/keywords/treatment-effect-size","display_name":"treatment effect size","score":0.6050000190734863},{"id":"https://openalex.org/keywords/sample-size","display_name":"sample size","score":0.7599999904632568},{"id":"https://openalex.org/keywords/chi-square-distribution","display_name":"chi-square distribution","score":0.7120000123977661},{"id":"https://openalex.org/keywords/uniform-distribution","display_name":"uniform distribution","score":0.9419999718666077},{"id":"https://openalex.org/keywords/monte-carlo-simulation","display_name":"Monte Carlo simulation","score":0.6620000004768372}],"concepts":[{"id":"https://openalex.org/C99476002","wikidata":"https://www.wikidata.org/wiki/Q42297","display_name":"Analysis of variance","level":2,"score":0.8069043159484863},{"id":"https://openalex.org/C11545786","wikidata":"https://www.wikidata.org/wiki/Q6883841","display_name":"Mixed-design analysis of variance","level":3,"score":0.7065715789794922},{"id":"https://openalex.org/C97600891","wikidata":"https://www.wikidata.org/wiki/Q1790302","display_name":"Kruskal\u2013Wallis one-way analysis of variance","level":3,"score":0.6678215861320496},{"id":"https://openalex.org/C102959455","wikidata":"https://www.wikidata.org/wiki/Q7313954","display_name":"Repeated measures design","level":2,"score":0.6578102111816406},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6573318243026733},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6371853351593018},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.5868218541145325},{"id":"https://openalex.org/C150921843","wikidata":"https://www.wikidata.org/wiki/Q1170431","display_name":"Resampling","level":2,"score":0.5823681354522705},{"id":"https://openalex.org/C152587130","wikidata":"https://www.wikidata.org/wiki/Q7092351","display_name":"One-way analysis of variance","level":3,"score":0.5023069381713867},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4955488443374634},{"id":"https://openalex.org/C85031952","wikidata":"https://www.wikidata.org/wiki/Q3026029","display_name":"Normality test","level":3,"score":0.4476875960826874},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.43790942430496216},{"id":"https://openalex.org/C183905921","wikidata":"https://www.wikidata.org/wiki/Q1038757","display_name":"Multiple comparisons problem","level":2,"score":0.42221498489379883},{"id":"https://openalex.org/C12868164","wikidata":"https://www.wikidata.org/wiki/Q1424533","display_name":"Mann\u2013Whitney U test","level":2,"score":0.42151904106140137},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.40294861793518066},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:digitalcommons.wayne.edu:oa_dissertations-1657","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.wayne.edu/oa_dissertations/658","pdf_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1657&context=oa_dissertations","source":{"id":"https://openalex.org/S171990522","display_name":"Human Biology","issn_l":"0018-7143","issn":["0018-7143","1534-6617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wayne State University Dissertations","raw_type":"dissertation"},{"id":"mag:154919482","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1657&context=oa_dissertations","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:digitalcommons.wayne.edu:oa_dissertations-1657","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.wayne.edu/oa_dissertations/658","pdf_url":"https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1657&context=oa_dissertations","source":{"id":"https://openalex.org/S171990522","display_name":"Human Biology","issn_l":"0018-7143","issn":["0018-7143","1534-6617"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","erih-plus","jufo-1","norway-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316469","host_organization_name":"Wayne State University Press","host_organization_lineage":["https://openalex.org/P4310316469"],"host_organization_lineage_names":["Wayne State University Press"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Wayne State University Dissertations","raw_type":"dissertation"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W154919482.pdf","grobid_xml":"https://content.openalex.org/works/W154919482.grobid-xml"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W43607084","https://openalex.org/W110318068","https://openalex.org/W145463669","https://openalex.org/W1556779599","https://openalex.org/W1563982849","https://openalex.org/W1596264138","https://openalex.org/W1627688466","https://openalex.org/W1688204489","https://openalex.org/W1966413371","https://openalex.org/W1977582303","https://openalex.org/W1983482950","https://openalex.org/W1985453879","https://openalex.org/W1990317593","https://openalex.org/W1998880267","https://openalex.org/W1999912466","https://openalex.org/W2000095329","https://openalex.org/W2001968861","https://openalex.org/W2010288534","https://openalex.org/W2014192711","https://openalex.org/W2015156319","https://openalex.org/W2015727153","https://openalex.org/W2016522586","https://openalex.org/W2019117922","https://openalex.org/W2021142183","https://openalex.org/W2027615005","https://openalex.org/W2030979503","https://openalex.org/W2033962550","https://openalex.org/W2037124948","https://openalex.org/W2041282815","https://openalex.org/W2043146859","https://openalex.org/W2046658586","https://openalex.org/W2051685487","https://openalex.org/W2058625073","https://openalex.org/W2066090931","https://openalex.org/W2072564709","https://openalex.org/W2079477813","https://openalex.org/W2090570353","https://openalex.org/W2096598341","https://openalex.org/W2104385314","https://openalex.org/W2105494575","https://openalex.org/W2107031757","https://openalex.org/W2111669400","https://openalex.org/W2120106329","https://openalex.org/W2121383450","https://openalex.org/W2155801927","https://openalex.org/W2163167269","https://openalex.org/W2325897390","https://openalex.org/W2410974677","https://openalex.org/W2587072524","https://openalex.org/W2612575796","https://openalex.org/W2774107641","https://openalex.org/W2797066837","https://openalex.org/W2799161684"],"related_works":["https://openalex.org/W1973030886","https://openalex.org/W4285417151","https://openalex.org/W4405659106","https://openalex.org/W7135687965","https://openalex.org/W143457335","https://openalex.org/W1938640857","https://openalex.org/W2033962550","https://openalex.org/W1596264138","https://openalex.org/W3209054964","https://openalex.org/W50772323"],"abstract_inverted_index":{"The":[0,26,257,287],"t":[1],"test":[2,49,64],"has":[3,29,77],"been":[4,31,78],"suggested":[5,45],"to":[6,9,33,52,83,89,121,160,193,295,327],"be":[7],"robust":[8,37,51],"departures":[10,53],"from":[11,54,216],"normality":[12,107],"as":[13,15,39,80,125,323],"long":[14],"group":[16,156,200,208],"sizes":[17,157,188],"are":[18],"equal":[19,185,249],"and":[20,108,144,162,166,172,227,244,254,268,274,277,290,315],"samples":[21],"approach":[22],"30":[23],"or":[24],"more.":[25],"F":[27],"statistic":[28],"also":[30],"proposed":[32],"have":[34,44],"the":[35,40,62,69,74,84,91,97,104,116,126,137,140,145,148,173,182,220,224,228,237,242,260,266,272,283,298,301,304,310,321,325],"same":[36],"qualities":[38],"t,":[41],"though":[42],"researchers":[43,113],"that":[46,56,115,234],"because":[47,128],"a":[48,151,211],"is":[50,119,330],"normality,":[55],"does":[57,100],"not":[58,101],"necessarily":[59],"make":[60],"it":[61],"best":[63],"for":[65],"every":[66,252],"situation.":[67],"With":[68],"increase":[70,314],"in":[71,201],"computing":[72],"capabilities,":[73],"permutation":[75,98,117],"ANOVA":[76,85,99,118,243,246,267,270],"explored":[79],"an":[81],"alternative":[82],"under":[86,103,251,271,282],"non-normal":[87],"conditions":[88],"rehabilitate":[90],"loss":[92],"of":[93,106,132,139,158,164,189,236,239,259,303,312,320],"statistical":[94],"power.":[95],"Since":[96],"operate":[102],"assumption":[105],"uses":[109],"actual":[110],"scores,":[111],"many":[112],"suggest":[114],"superior":[120],"rank":[122],"tests":[123,306],"such":[124],"Kruskal-Wallis":[127,146,261],"ranking":[129],"data":[130],"disposes":[131],"valuable":[133],"information.":[134],"To":[135],"compare":[136],"power":[138,250,258,313,317],"ANOVA,":[141,143],"randomization":[142,245,269],"test,":[147],"researcher":[149,183],"performed":[150],"Monte":[152],"Carlo":[153],"analysis":[154],"on":[155,197],"n=10":[159],"n=30":[161],"groups":[163],"k=3":[165],"k=5":[167],"using":[168],"Fortran":[169],"program":[170],"language":[171],"IMSL":[174],"subroutine":[175],"library.":[176],"In":[177],"12":[178],"different":[179],"treatment":[180,186,199,240,291],"conditions,":[181],"implemented":[184],"effect":[187,255,292],"small":[190],"(0.1":[191],"sd)":[192,196],"huge":[194],"(1.0":[195],"each":[198],"graduated":[202],"increments,":[203],"until":[204],"all":[205],"but":[206,307],"one":[207],"had":[209,293],"received":[210],"treatment.":[212],"Data":[213],"were":[214],"drawn":[215],"three":[217,305],"theoretical":[218],"distributions:":[219],"normal":[221,273],"(Gaussian)":[222],"distribution,":[223,226],"uniform":[225,275],"chi-square":[229,284],"(df=2)":[230,285],"distribution.":[231,286],"Results":[232],"indicated":[233],"regardless":[235],"number":[238],"groups,":[241],"exhibited":[247],"almost":[248],"distribution":[253],"size.":[256],"was":[262,278],"slightly":[263],"less":[264],"than":[265],"condition,":[276],"significantly":[279],"more":[280],"powerful":[281],"sample":[288],"size":[289],"little":[294],"do":[296],"with":[297],"relationship":[299],"between":[300],"performances":[302],"did":[308],"affect":[309],"rate":[311],"maximum":[316],"achieved.":[318],"Implications":[319],"findings":[322],"well":[324],"contribution":[326],"existing":[328],"literature":[329],"discussed.":[331]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
