A revisit to two-way factorial ANOVA with mixed effects and interactions

Tao Wang and Nicholas DeVogel

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 19, 4618-4635

Abstract: Two mixed models exist in analysis of two-way factorial ANOVA with mixed effects and interactions: the constrained and unconstrained models. The constrained model is unfavored because there is no convincing rationale for the enforced constraints on its random interactions and a lack of clear interpretation about its variance components. The purpose of this study is to further explore the relationship between these two models. We reveal some nice features of the constrained model on partition of the responsive variance. An alternative formulation of ANOVA that follows from this exploration is also presented.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2019.1604961 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:49:y:2020:i:19:p:4618-4635

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2019.1604961

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().