On Mar 5, 2012, at 16:05 , Tamre Cardoso wrote:
> Thank you.
>
> I have attached the data:
The list software seems to have scrubbed it though...
> The error message from Anova is:
>
>> pressure.aov = Anova(multmodel, idata=fact.idata, idesign = ~Shoe * Region,
>> type="III")
> Error in linearHypothesis.mlm(mod, hyp.matrix, SSPE = SSPE, idata = idata, :
> The error SSP matrix is apparently of deficient rank = 9 < 14
Oho. Yes that can be a problem. I it is not actually required to have a full
rank SSP to do the F tests, but the design of Anova() is such that it tries to
do multivariate analyses somewhere along the way, and I don't think there's a
way to tell it not to (John?).
I don't think plain anova.mlm has this particular restriction. It's basically
the same issue as this:
> X <- matrix(rnorm(12),3,4)
> idata <- data.frame(gg = factor(1:4))
> anova(m,idata=idata, X=~1, test="Spherical")
Analysis of Variance Table
Contrasts orthogonal to
~1
Greenhouse-Geisser epsilon: 0.4312
Huynh-Feldt epsilon: 0.8876
Df F num Df den Df Pr(>F) G-G Pr H-F Pr
(Intercept) 1 0.3376 3 6 0.79935 0.66045 0.77968
Residuals 2
> Anova(m,idata=idata, idesign=~gg, type="III")
Error in linearHypothesis.mlm(mod, hyp.matrix, SSPE = SSPE, idata = idata, :
The error SSP matrix is apparently of deficient rank = 2 < 3
> anova(m,idata=idata, X=~1) # Full MV test fails here too
Error in anova.mlm(m, idata = idata, X = ~1) : residuals have rank 2 < 3
--
Peter Dalgaard, Professor
Center for Statistics, Copenhagen Business School
Solbjerg Plads 3, 2000 Frederiksberg, Denmark
Phone: (+45)38153501
Email: [email protected] Priv: [email protected]
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