{"id":"https://openalex.org/W2904591499","doi":null,"title":"Using Bayesian Multilevel Models to Control for Multiplicity among Means","display_name":"Using Bayesian Multilevel Models to Control for Multiplicity among Means","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2904591499","mag":"2904591499"},"language":"en","primary_location":{"id":"pmh:oai:digitalcommons.unl.edu:cehsdiss-1330","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.unl.edu/cehsdiss/325","pdf_url":"https://digitalcommons.unl.edu/cehsdiss/325","source":{"id":"https://openalex.org/S4306400577","display_name":"Lincoln (University of Nebraska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114395901","host_organization_name":"University of Nebraska\u2013Lincoln","host_organization_lineage":["https://openalex.org/I114395901"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"College of Education and Human Sciences: Dissertations, Theses, and Student Research","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.unl.edu/cehsdiss/325","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011774531","display_name":"Michael J Zweifel","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael J Zweifel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5011774531"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9810000061988831,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9810000061988831,"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":0.0142000000923872,"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/T13500","display_name":"Probability and Statistical Research","score":0.0008999999845400453,"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/bayesian-hierarchical-model","display_name":"Bayesian hierarchical model","score":0.9700000286102295},{"id":"https://openalex.org/keywords/type-i-error-control","display_name":"type I error control","score":0.7540000081062317},{"id":"https://openalex.org/keywords/multiple-testing","display_name":"multiple comparisons","score":0.6639999747276306},{"id":"https://openalex.org/keywords/multiplicity","display_name":"multiplicity","score":0.6679999828338623},{"id":"https://openalex.org/keywords/type-i-error-inflation","display_name":"type I error inflation","score":0.7739999890327454},{"id":"https://openalex.org/keywords/statistical-power","display_name":"statistical power","score":0.7139999866485596},{"id":"https://openalex.org/keywords/heteroscedasticity","display_name":"heteroscedasticity","score":0.9350000023841858},{"id":"https://openalex.org/keywords/comparison-of-means","display_name":"comparison of means","score":0.5019999742507935}],"concepts":[{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.610436201095581},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.5104071497917175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47479572892189026},{"id":"https://openalex.org/C53059260","wikidata":"https://www.wikidata.org/wiki/Q374758","display_name":"Multilevel model","level":2,"score":0.42779889702796936},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3526172935962677},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3122960925102234},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29994338750839233},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2416824996471405}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:digitalcommons.unl.edu:cehsdiss-1330","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.unl.edu/cehsdiss/325","pdf_url":"https://digitalcommons.unl.edu/cehsdiss/325","source":{"id":"https://openalex.org/S4306400577","display_name":"Lincoln (University of Nebraska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114395901","host_organization_name":"University of Nebraska\u2013Lincoln","host_organization_lineage":["https://openalex.org/I114395901"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"College of Education and Human Sciences: Dissertations, Theses, and Student Research","raw_type":"text"},{"id":"pmh:oai:digitalcommons.unl.edu:dissertations-15700","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.unl.edu/dissertations/AAI13419342","pdf_url":null,"source":{"id":"https://openalex.org/S4306400577","display_name":"Lincoln (University of Nebraska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114395901","host_organization_name":"University of Nebraska\u2013Lincoln","host_organization_lineage":["https://openalex.org/I114395901"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ETD collection for University of Nebraska-Lincoln","raw_type":"text"},{"id":"mag:2904591499","doi":null,"is_oa":false,"landing_page_url":"https://digitalcommons.unl.edu/cehsdiss/325/","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.unl.edu:cehsdiss-1330","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.unl.edu/cehsdiss/325","pdf_url":"https://digitalcommons.unl.edu/cehsdiss/325","source":{"id":"https://openalex.org/S4306400577","display_name":"Lincoln (University of Nebraska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I114395901","host_organization_name":"University of Nebraska\u2013Lincoln","host_organization_lineage":["https://openalex.org/I114395901"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"College of Education and Human Sciences: Dissertations, Theses, and Student Research","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2904591499.pdf","grobid_xml":"https://content.openalex.org/works/W2904591499.grobid-xml"},"referenced_works_count":87,"referenced_works":["https://openalex.org/W129365615","https://openalex.org/W206810019","https://openalex.org/W400774807","https://openalex.org/W568564792","https://openalex.org/W628329697","https://openalex.org/W647244699","https://openalex.org/W1536497620","https://openalex.org/W1557591406","https://openalex.org/W1592263067","https://openalex.org/W1608012159","https://openalex.org/W1969129259","https://openalex.org/W1971377190","https://openalex.org/W1973078770","https://openalex.org/W1973801776","https://openalex.org/W1975537177","https://openalex.org/W1981457167","https://openalex.org/W1983662836","https://openalex.org/W1989797779","https://openalex.org/W1994899332","https://openalex.org/W1997917263","https://openalex.org/W1998133439","https://openalex.org/W1999804838","https://openalex.org/W2008935325","https://openalex.org/W2012757283","https://openalex.org/W2014103815","https://openalex.org/W2016853730","https://openalex.org/W2019944485","https://openalex.org/W2020720070","https://openalex.org/W2021142183","https://openalex.org/W2022234808","https://openalex.org/W2023674569","https://openalex.org/W2029445248","https://openalex.org/W2032663748","https://openalex.org/W2033651502","https://openalex.org/W2035583871","https://openalex.org/W2036714085","https://openalex.org/W2037124948","https://openalex.org/W2037586880","https://openalex.org/W2039731136","https://openalex.org/W2040214828","https://openalex.org/W2055680805","https://openalex.org/W2056760934","https://openalex.org/W2061554433","https://openalex.org/W2063332339","https://openalex.org/W2063439372","https://openalex.org/W2064604759","https://openalex.org/W2066005979","https://openalex.org/W2066018899","https://openalex.org/W2067327344","https://openalex.org/W2072472548","https://openalex.org/W2076362616","https://openalex.org/W2078409704","https://openalex.org/W2085469860","https://openalex.org/W2092612496","https://openalex.org/W2093789600","https://openalex.org/W2096163082","https://openalex.org/W2099107563","https://openalex.org/W2100030229","https://openalex.org/W2101960548","https://openalex.org/W2102386709","https://openalex.org/W2105090664","https://openalex.org/W2106343834","https://openalex.org/W2106834122","https://openalex.org/W2109066228","https://openalex.org/W2110065044","https://openalex.org/W2112146495","https://openalex.org/W2115012618","https://openalex.org/W2121044470","https://openalex.org/W2122902902","https://openalex.org/W2134012062","https://openalex.org/W2135445066","https://openalex.org/W2135497302","https://openalex.org/W2138480428","https://openalex.org/W2140134152","https://openalex.org/W2159532703","https://openalex.org/W2166452755","https://openalex.org/W2170422226","https://openalex.org/W2171072930","https://openalex.org/W2183779577","https://openalex.org/W2293040502","https://openalex.org/W2317320087","https://openalex.org/W2324392187","https://openalex.org/W2410974677","https://openalex.org/W2798834757","https://openalex.org/W2912079967","https://openalex.org/W2974977101","https://openalex.org/W3047398590"],"related_works":["https://openalex.org/W7096486450","https://openalex.org/W6977790179","https://openalex.org/W2949068269","https://openalex.org/W7112753575","https://openalex.org/W2769918272","https://openalex.org/W7141559760","https://openalex.org/W4400118088","https://openalex.org/W7120357284","https://openalex.org/W7018095235","https://openalex.org/W4310922657"],"abstract_inverted_index":{"It":[0],"is":[1,21,91,96,114],"well":[2],"known":[3,22,53],"that":[4,195],"the":[5,39,42,70,99,131,144,164,181,196,201,213,225,232,243],"Type":[6,24,33,71,123,136,202,244],"I":[7,25,34,72,124,137,203,245],"error":[8,26,35,73,125,138,204,246],"rate":[9,74,205],"will":[10],"exceed":[11],"\u03b1":[12,207],"when":[13,93,216],"multiple":[14,55,77,103,111,167],"hypothesis":[15,45],"tests":[16],"are":[17,222],"conducted":[18],"simultaneously.":[19],"This":[20],"as":[23,38,41,54],"inflation.":[27,126],"The":[28,87,192],"probability":[29],"of":[30,44,51,89,101,133,166,183,220,227,242],"committing":[31,134],"a":[32,107,135,174,217],"grows":[36],"monotonically":[37],"number":[40,43,182,219,226],"being":[46],"tested":[47,229],"increases.":[48],"A":[49],"class":[50],"methods,":[52],"comparison":[56,78,112,168],"procedures,":[57],"has":[58],"been":[59],"developed":[60],"to":[61,82,110,115,120,153,238],"combat":[62],"this":[63],"issue.":[64],"However,":[65],"in":[66,147,179],"turn":[67],"for":[68,122],"maintaining":[69],"below":[75],"\u03b1,":[76],"procedures":[79,113,169],"sacrifice":[80],"power":[81,90,211],"correctly":[83],"reject":[84],"false":[85],"hypotheses.":[86],"loss":[88],"exacerbated":[92],"variance":[94,186],"heterogeneity":[95,187],"present.":[97],"In":[98],"case":[100],"making":[102,149],"comparisons":[104],"among":[105],"means,":[106],"possible":[108],"alternative":[109],"use":[116],"Bayesian":[117,127,171,197,233],"multilevel":[118,128,172,198],"models":[119,129,199,234],"control":[121,241],"reduce":[130],"risk":[132],"by":[139],"shrinking":[140],"all":[141],"means":[142],"towards":[143],"grand":[145],"mean,":[146],"turn,":[148],"it":[150],"more":[151],"difficult":[152],"declare":[154],"any":[155],"mean":[156],"significantly":[157],"different":[158],"from":[159],"one":[160],"another.":[161],"To":[162],"compare":[163],"performance":[165],"and":[170,185,208],"models,":[173],"Monte":[175],"Carlo":[176],"simulation":[177],"study,":[178],"which":[180],"hypotheses":[184,221,228],"was":[188,190],"manipulated,":[189],"conducted.":[191],"results":[193],"indicated":[194],"maintain":[200,239],"at":[206],"display":[209],"greater":[210],"than":[212],"traditional":[214],"methods":[215],"large":[218],"tested.":[223],"When":[224],"were":[230,235],"small,":[231],"not":[236],"able":[237],"strong":[240],"rate.":[247],"Adviser:":[248],"Rafael":[249],"J.":[250],"De":[251],"Ayala":[252]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2018-12-22T00:00:00"}
