help > RE: 2-way ANOVA matrix design and contrast
May 23, 2017  08:05 AM | Andrew Zalesky
RE: 2-way ANOVA matrix design and contrast
Hi Jeff,

The design matrix and contrast you have given below are correct. The ones in your previous post are not correct. The two design matrices are not really equivalent in that way you are defining main effects and interaction.

Andrew

Originally posted by Jeff Jiang:
Hi Andrew,

Regarding to my last question, I also tried another design matrix and contrast:

intercept a b interaction
1 -1 -1 1
1 -1 -1 1
1 -1 1 -1
1 -1 1 -1
1 -1 1 -1
1 1 -1 -1
1 1 -1 -1
1 1 -1 -1
1 1 1 1
1 1 1 1

And contrast is [0 1 0 0] for main effect a, [0 0 1 0] for main effect b, and [0 0 0 1] for a*b interaction effect.

According to my understanding, this design and contrast should be equivalent to the ones in my last post (I also found that the FSL manual said these two are equivalent). However, I got totally different F-test results using NBS based on the two settings. Could you please help? Thanks.

Regards,

Jeff

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TitleAuthorDate
Jeff Jiang May 22, 2017
Jeff Jiang May 23, 2017
RE: 2-way ANOVA matrix design and contrast
Andrew Zalesky May 23, 2017
Jeff Jiang May 23, 2017
Andrew Zalesky May 23, 2017
Jeff Jiang May 24, 2017
Andrew Zalesky May 24, 2017