R1 vs R2 [RSABE / ABEL]

posted by ElMaestro  – Denmark, 2012-10-11 12:26 (5005 d 05:37 ago) – Posting: # 9384
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Dear d_labes,

❝ Ok, now I have the LSMeans (in SASophylistic way as standard or in R using (...blah blah blah...)

❝ And now? How to get a 90% CI for R vs. R?

❝ Simple use R1-R2 of the recoded data?

❝ Or anything else?


The standard formula applies, doesn't it? The df's are easy from the model or anova, the critical t-value is obtainable at your chosen alpha and the derived df's, the PE (R1 - R2) is extracted via from the model effects, the sigma thorugh the residual, and you have the harmonic mean of no's of sequences under the square root sign.

I wouldn't personally think of it as a 90% CI for R vs. R, but rather refer to it as a 90% CI for the "first R vs. second R". Quite clear that we also violate some assumptions for the normal linear model here, but I guess we must live with that.
We could perhaps alternatively think along the lines of a mixed model with a covariance matrix having both a within- and between-sigma2 (the betweens would be off diagonal, the within on the diagonal) and optimise it by REML? I have no idea how to actually do this in R or any other package. Have I been sniffing too much glue? My understanding of covariance matrices is still a bit backward.

Pass or fail!
ElMaestro

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