Hi statisticians,

I need to run a four-way ANOVA with one factor (i.e., subject) nested within another factor. I did a little research on the funtion 'anovan' in Matlab, and it seems that 'anovan' would not allow me to do nesting directly. My understanding about two-way balanced ANOVA with nested design is that it could be reduced to a series of one-way ANOVA's since

nested SSB(A) = crossed (SSB + SSAB)

Does such a reduction still hold for four-way ANOVA with nested design? I mean, can I reduce a four-way balanced ANOVA to a few three-way ANOVA's? If true, how? And, does anybody happen to have such a Matlab program available for N-Way ANONA with nested design?

Thank you very much.

Gang Chen

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