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DetailsAccording to (Goodnight, J.H. 1976) the behaviour of the type 3 hypothesis is not fully studied for the situations with missing cells (where observations are missing at some factor-level combination). A warning is returned in such cases. ReferencesSAS Technical Report R-101 1978 Tests of Hypotheses in Fixed-Effects Linear Models Copyright (C) (SAS Institute Inc., Cary, NC, USA) Goodnight, J.H. 1976 General Linear Models Procedure (S.A.S. Institute, Inc.) Schaalje G.B., McBride J.B., Fellingham G.W. 2002 Adequacy of approximations to distributions of test Statistics in complex mixed linear models Examples#import lmerTest package library(lmerTest) m.ham <- lmer(Informed.liking ~ Product*Information*Gender + (1|Consumer), data = ham) # type 3 anova table with denominator degrees of freedom # calculated based on Satterthwaite's approximation anova(m.ham) # type 1 anova table with denominator degrees of freedom # calculated based on Satterthwaite's approximation ## Not run: anova(m.ham, type = 1) ## End(Not run) # type3 anova table with additional F statistics and denominator degrees of freedom # calculated based on Kenward-Roger's approximation if(require(pbkrtest)) anova(m.ham, ddf = "Kenward-Roger") ## Not run: # anova table, that is returned by lme4 package anova(m.ham, ddf = "lme4") ## End(Not run) Results |
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