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The two-way mixed model: A long and winding controversy.
MedLine Citation:
PMID:  23336555     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
Background: With the 2-way mixed model, one a fixed factor and the other random, the procedure followed to test statistical significance of the random factor has been the focus of a heated controversy in theoretical and applied statistics, and the debating continues even now. One of the main consequences of this controversy is that the position defended in the classical ANOVA texts on the hypothesis of the significance of the random effect is not the same as that defended in almost all of the professional statistical software programs. Method: In this paper, we deal with a detailed analysis about the controversy of mixed model and the decision about one of two basic options, the non restrictive and the restrictive model. Results: Three key questions we consider to go beyond the controversy are: (1) the two classical models are equivalent, (2) the marginality principle do not allow to test main effects in presence of interactive significant effects and (3) the relevance of linear mixed approach to analyze models with fixed and random effects. Conclusions: We propose the simple solution of using the mixed linear approach with REML estimation instead of the classical linear approach, which is really unapplicable in this context.
Authors:
Manuel Ato García; Guillermo Vallejo Seco; Alfonso Palmer Pol
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Psicothema     Volume:  25     ISSN:  1886-144X     ISO Abbreviation:  Psicothema     Publication Date:  2013 Feb 
Date Detail:
Created Date:  2013-01-22     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101189384     Medline TA:  Psicothema     Country:  Spain    
Other Details:
Languages:  eng     Pagination:  130-6     Citation Subset:  IM    
Affiliation:
Universidad de Murcia.
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