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# factorial split-plot with a strip factor

Dear SAS Community,

My design is a factorial split-plot; main plots consisted of a 2-factor factorial design (nem and trt). Main plots were divided into 2-subplots, each cropped to a different cultivar. Since a different cereal was cropped every year in the plots, to compare the response var (pop) between cereals, cereal was analyzed as strip factor within the split plot model.

I would like to know is this model is correct:

proc mixed data=one;

class blk nem trt cultivar cereal;

model pop=nem|trt|cultivar|cereal/ddfm=kr;

random intercept nem*trt cereal nem*cereal trt*cereal nem*trt*cereal cultivar*cereal nem*cultivar*cereal trt*cultivar*cereal/subject=blk;

run;

Thank you,

Caroline

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‎06-18-2015 02:10 PM
Posts: 2,655

## Re: factorial split-plot with a strip factor

The random terms all look correct for a strip plot, I just worry about calculating four-way interactions with any degree of precision unless you have a LOT of data.  IF the model converges, then the tests should have the right degrees of freedom and compare the correct quadratic forms.  Seems a big IF to me, though.

Steve Denham

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Solution
‎06-18-2015 02:10 PM
Posts: 2,655

## Re: factorial split-plot with a strip factor

The random terms all look correct for a strip plot, I just worry about calculating four-way interactions with any degree of precision unless you have a LOT of data.  IF the model converges, then the tests should have the right degrees of freedom and compare the correct quadratic forms.  Seems a big IF to me, though.

Steve Denham

Contributor
Posts: 73

## Re: factorial split-plot with a strip factor

Thank you very much for your help dear Steve!! it did work and also converged   for all dependent variables. Since I do not have missing values maybe I should use satherwaite instead of kr....do you agree?

Thank you Steve!!

Caroline

Posts: 2,655

## Re: factorial split-plot with a strip factor

Hi Caroline,

Too many variance components with different degrees of freedom.  Be pragmatic about this, how much gain (or loss) in power do you get from the shrinkage part of KR, as opposed to the combining of variances using Satterthwaite's method?  Just look at the standard error of the difference for trt or nem as a guidance.

Steve Denham

Contributor
Posts: 73

## Re: factorial split-plot with a strip factor

the SE for the difference between nem or trt is the same value (0.06268) when using kr, satterwaithe or nothing.

Posts: 2,655

## Re: factorial split-plot with a strip factor

Not surprised with completely balanced data, and no repeated measures.

Steve Denham

Contributor
Posts: 73