{"id":"https://openalex.org/W2158048876","doi":null,"title":"Comparing latent interaction effects in multi-sample structural equation modeling: Quasi-maximum likelihood versus third moment methods","display_name":"Comparing latent interaction effects in multi-sample structural equation modeling: Quasi-maximum likelihood versus third moment methods","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2158048876","mag":"2158048876"},"language":"en","primary_location":{"id":"pmh:oai:d-scholarship.pitt.edu:16938","doi":null,"is_oa":true,"landing_page_url":"https://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","pdf_url":"http://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","source":{"id":"https://openalex.org/S4306402372","display_name":"D-Scholarship@Pitt (University of Pittsburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I170201317","host_organization_name":"University of Pittsburgh","host_organization_lineage":["https://openalex.org/I170201317"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043857797","display_name":"Ryan Todd Pohlig","orcid":"https://orcid.org/0000-0002-8385-8218","observed_orcids":["https://orcid.org/0000-0002-8385-8218"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ryan T. Pohlig","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8385-8218","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5043857797"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"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/T10467","display_name":"Psychometric Methodologies and Testing","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.0035000001080334187,"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/T13141","display_name":"Statistical Methods and Applications","score":0.0006000000284984708,"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/quasi-maximum-likelihood-estimation","display_name":"quasi-maximum likelihood estimation","score":0.890999972820282},{"id":"https://openalex.org/keywords/type-i-error","display_name":"type I error","score":0.656000018119812},{"id":"https://openalex.org/keywords/statistical-power","display_name":"statistical power","score":0.9850000143051147},{"id":"https://openalex.org/keywords/parameter-recovery","display_name":"parameter recovery","score":0.9729999899864197},{"id":"https://openalex.org/keywords/bootstrap-method","display_name":"bootstrapping","score":0.7919999957084656},{"id":"https://openalex.org/keywords/kolmogorov-smirnov-test","display_name":"Kolmogorov-Smirnov test","score":0.9459999799728394},{"id":"https://openalex.org/keywords/non-normal-error-distributions","display_name":"non-normal error distributions","score":0.5529999732971191},{"id":"https://openalex.org/keywords/sample-size","display_name":"sample size","score":0.7160000205039978}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.739120364189148},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6987610459327698},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.6517251133918762},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6265214681625366},{"id":"https://openalex.org/C207609745","wikidata":"https://www.wikidata.org/wiki/Q4944086","display_name":"Bootstrapping (finance)","level":2,"score":0.5585313439369202},{"id":"https://openalex.org/C40696583","wikidata":"https://www.wikidata.org/wiki/Q989120","display_name":"Type I and type II errors","level":2,"score":0.5343154668807983},{"id":"https://openalex.org/C855514","wikidata":"https://www.wikidata.org/wiki/Q1665869","display_name":"Interaction","level":2,"score":0.48520830273628235},{"id":"https://openalex.org/C71104824","wikidata":"https://www.wikidata.org/wiki/Q1476639","display_name":"Structural equation modeling","level":2,"score":0.47358471155166626},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4504682123661041},{"id":"https://openalex.org/C51167844","wikidata":"https://www.wikidata.org/wiki/Q4422623","display_name":"Latent variable","level":2,"score":0.43512195348739624},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.417309045791626},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.30041438341140747},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:d-scholarship.pitt.edu:16938","doi":null,"is_oa":true,"landing_page_url":"https://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","pdf_url":"http://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","source":{"id":"https://openalex.org/S4306402372","display_name":"D-Scholarship@Pitt (University of Pittsburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I170201317","host_organization_name":"University of Pittsburgh","host_organization_lineage":["https://openalex.org/I170201317"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:pqdtoai.proquest.com:3538035","doi":null,"is_oa":false,"landing_page_url":"http://pqdtopen.proquest.com/#viewpdf?dispub=3538035","pdf_url":"http://pqdtopen.proquest.com/#viewpdf?dispub=3538035","source":{"id":"https://openalex.org/S7407064308","display_name":"ProQuest Demo Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"thesis"},{"id":"mag:2158048876","doi":null,"is_oa":false,"landing_page_url":"http://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","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:d-scholarship.pitt.edu:16938","doi":null,"is_oa":true,"landing_page_url":"https://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","pdf_url":"http://d-scholarship.pitt.edu/16938/1/rpohlig_etd.pdf","source":{"id":"https://openalex.org/S4306402372","display_name":"D-Scholarship@Pitt (University of Pittsburgh)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I170201317","host_organization_name":"University of Pittsburgh","host_organization_lineage":["https://openalex.org/I170201317"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310174","display_name":"University of Pittsburgh","ror":"https://ror.org/01an3r305"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2158048876.pdf","grobid_xml":"https://content.openalex.org/works/W2158048876.grobid-xml"},"referenced_works_count":75,"referenced_works":["https://openalex.org/W103650626","https://openalex.org/W1154807952","https://openalex.org/W1501709364","https://openalex.org/W1518925555","https://openalex.org/W1528049813","https://openalex.org/W1556725003","https://openalex.org/W1665332082","https://openalex.org/W1680842844","https://openalex.org/W1715619412","https://openalex.org/W1747608905","https://openalex.org/W1836311887","https://openalex.org/W1966924839","https://openalex.org/W1971440513","https://openalex.org/W1972510122","https://openalex.org/W1976520781","https://openalex.org/W1976876708","https://openalex.org/W1994476196","https://openalex.org/W1995945562","https://openalex.org/W1999151133","https://openalex.org/W1999912466","https://openalex.org/W2001004971","https://openalex.org/W2005532382","https://openalex.org/W2010420668","https://openalex.org/W2013267907","https://openalex.org/W2015257908","https://openalex.org/W2019800484","https://openalex.org/W2021591304","https://openalex.org/W2024507896","https://openalex.org/W2025581597","https://openalex.org/W2027860872","https://openalex.org/W2030630447","https://openalex.org/W2041993782","https://openalex.org/W2049633694","https://openalex.org/W2049724342","https://openalex.org/W2049850220","https://openalex.org/W2050059289","https://openalex.org/W2051882866","https://openalex.org/W2055938121","https://openalex.org/W2057237814","https://openalex.org/W2059334100","https://openalex.org/W2066821337","https://openalex.org/W2067707835","https://openalex.org/W2069102324","https://openalex.org/W2094142183","https://openalex.org/W2099378941","https://openalex.org/W2101831741","https://openalex.org/W2102032535","https://openalex.org/W2104057213","https://openalex.org/W2120315027","https://openalex.org/W2128949174","https://openalex.org/W2131731189","https://openalex.org/W2132484484","https://openalex.org/W2140561695","https://openalex.org/W2140642677","https://openalex.org/W2141125801","https://openalex.org/W2146073395","https://openalex.org/W2146553899","https://openalex.org/W2149860264","https://openalex.org/W2152343454","https://openalex.org/W2162667926","https://openalex.org/W2163424852","https://openalex.org/W2164085284","https://openalex.org/W2166794845","https://openalex.org/W2166880790","https://openalex.org/W2546964017","https://openalex.org/W2797247465","https://openalex.org/W2797508167","https://openalex.org/W2797638056","https://openalex.org/W2799307137","https://openalex.org/W2904824644","https://openalex.org/W2905039463","https://openalex.org/W2908457798","https://openalex.org/W2941647715","https://openalex.org/W2998547417","https://openalex.org/W3146425672"],"related_works":["https://openalex.org/W137552062","https://openalex.org/W2543976568","https://openalex.org/W7098508443","https://openalex.org/W6962522147","https://openalex.org/W2010420668","https://openalex.org/W6963882093","https://openalex.org/W2024507896","https://openalex.org/W2361325733","https://openalex.org/W2110395583","https://openalex.org/W43639869"],"abstract_inverted_index":{"A":[0,87],"simulation":[1],"study":[2,57,77],"was":[3,58,90],"performed":[4,136],"comparing":[5],"the":[6,41,47,61,80,84,94,100,139,178,188,192,215,222,242,274],"quasi-maximum":[7],"likelihood":[8],"(QML;":[9],"Klein":[10],"&":[11,18],"Muth\u00e9n,":[12],"2007)":[13],"and":[14,63,129,148,175,271],"third":[15,95,140],"moment":[16,96,141],"(Mooijaart":[17],"Bentler,":[19],"2010)":[20],"methods":[21,35,251,262],"for":[22,67,93,156,205],"estimating":[23,157,170,268],"latent":[24,37,73,209],"interaction":[25,38,74,107,159,171,210,247,254,275],"effects":[26,39,108,174,270],"in":[27,169,237,241,259,267],"multi-sample":[28],"structural":[29],"equation":[30],"modeling.":[31],"Both":[32,261],"of":[33,43,55,71,83,102,106,124,194,244],"these":[34],"estimate":[36],"without":[40],"use":[42],"product":[44],"indicators":[45],"or":[46],"need":[48],"to":[49,59,219,225],"specify":[50],"nonlinear":[51],"constraints.":[52],"The":[53,133,181],"purpose":[54],"this":[56],"evaluate":[60],"power":[62],"type-I":[64,146],"error":[65,147,168,266],"rates":[66],"testing":[68,206],"group":[69],"differences":[70,101],"a":[72,110,208,245],"effect.":[75],"This":[76],"also":[78,91,263],"evaluated":[79],"parameter":[81,226,239],"recovery":[82],"two":[85],"methods.":[86,132],"bootstrapping":[88],"procedure":[89],"proposed":[92],"method":[97,135,202,217],"that":[98,200],"tested":[99],"empirical":[103],"sampling":[104],"distributions":[105],"using":[109],"two-sample":[111],"Kolmogorov-Smirnov":[112],"test.":[113],"There":[114],"were":[115],"four":[116],"independent":[117],"variables:":[118],"i)":[119],"sample":[120,163,223],"size,":[121,128],"ii)":[122],"non-normality":[123],"errors,":[125],"iii)":[126],"effect":[127,248,276],"iv)":[130],"estimation":[131],"QML":[134,143,151,165,201],"better":[137],"than":[138,177,231],"method.":[142,180],"had":[144,152,166,184,264],"lower":[145],"more":[149,265],"power.":[150],"less":[153,167],"absolute":[154],"bias":[155],"smaller":[158,162],"effects.":[160],"For":[161],"sizes,":[164],"effects,":[172],"main":[173,269],"covariances":[176,272],"third-moment":[179],"nonnormality":[182],"conditions":[183],"no":[185],"impact":[186],"on":[187,191],"results.":[189],"Based":[190],"pattern":[193],"results":[195],"found,":[196],"it":[197,257],"is":[198,218],"recommended":[199],"be":[203,220,229,235],"used":[204,221],"if":[207],"differs":[211],"between":[212],"groups.":[213],"If":[214],"M-B":[216],"size":[224],"ratio":[227],"should":[228,234],"greater":[230],"20:1.":[232],"Care":[233],"taken":[236],"interpreting":[238],"estimates":[240],"presence":[243],"large":[246],"as":[249,256,273],"both":[250],"overestimated":[252],"an":[253],"coefficient":[255],"increased":[258],"magnitude.":[260],"increased.":[277]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}