• norsk
    • English
  • English 
    • norsk
    • English
  • Login
View Item 
  •   Home
  • Handelshøyskolen BI
  • Publikasjoner fra CRIStin - BI
  • View Item
  •   Home
  • Handelshøyskolen BI
  • Publikasjoner fra CRIStin - BI
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Pernicious Polychorics: The Impact and Detection of Underlying Non-normality

Foldnes, Njål; Grønneberg, Steffen
Journal article, Peer reviewed
Accepted version
Thumbnail
View/Open
Available from 2020-10-28 (708.4Kb)
URI
http://hdl.handle.net/11250/2633747
Date
2019
Metadata
Show full item record
Collections
  • Publikasjoner fra CRIStin - BI [644]
  • Scientific articles [1334]
Original version
Structural Equation Modeling. 2019, .   10.1080/10705511.2019.1673168
Abstract
Ordinal data in social science statistics are often modeled as discretizations of a multivariate normal vector. In contrast to the continuous case, where SEM estimation is also consistent under non-normality, violation of underlying normality in ordinal SEM may lead to inconsistent estimation. In this article, we illustrate how underlying non-normality induces bias in polychoric estimates and their standard errors. This bias is strongly affected by how we discretize. It is therefore important to consider tests of underlying multivariate normality. In this study we propose a parametric bootstrap test for this purpose. Its performance relative to the test of Maydeu-Olivares is evaluated in a Monte Carlo study. At realistic sample sizes, the bootstrap exhibited substantively better Type I error control and power than the Maydeu-Olivares test in ordinal data with ten dimensions or higher. R code for the bootstrap test is provided.
Publisher
Taylor and Francis
Journal
Structural Equation Modeling
Copyright
Copyright policy of Taylor & Francis, the publisher of this journal: 'Green' Open Access = deposit of the Accepted Manuscript (after peer review but prior to publisher formatting) in a repository, with non-commercial reuse rights, with an Embargo period from date of publication of the final article. The embargo period for journals within the Social Sciences and the Humanities (SSH) is usually 18 months

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit
 

 

Browse

ArchiveCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsDocument TypesJournalsThis CollectionBy Issue DateAuthorsTitlesSubjectsDocument TypesJournals

My Account

Login

Statistics

View Usage Statistics

Contact Us | Send Feedback

Privacy policy
DSpace software copyright © 2002-2019  DuraSpace

Service from  Unit