I am doing a 3x2x2 between subject study. To make thing simple, I name my variables as A, B and C here. Using the
WRS 2 package in R, I have gotten results for the 3 way robust ANOVA (
t3way). One of the two-way interactions and the three way interaction were significant. The t3way anova result showed a significant result between AB and ABC with p-value of .031 and .051 respectively.
When come to the post hoc test, I was made understood that there is no post hoc test available for 3 way robust ANOVA in R and hence, I have to split the file by the third IV for the two way ANOVA and post hoc tests. I split the data with variable C (i.e. Ci and Cii) and the t2way anova result of Ci is:
t2way anova for Cii din't show any significant.
When I performed
mcp2atm (post hoc test) on the separate robust 2 way ANOVAs, I didn't get a single contrast that is significant. Post hoc test (mcp2atm) result for Ci showed:
V1 ci.lower ci.upper p-value
A1 1.00000 -1.11291 3.11291 0.22754
A2 1.33333 -0.87160 3.53827 0.12861
A3 0.33333 -2.56160 3.22827 0.77417
B1 -0.33333 -2.68024 2.01358 0.77417
A1:B1 0.33333 -1.77957 2.44624 0.68124
A2:B1 0.00000 -2.20493 2.20493 1.00000
A3:B1 -0.33333 -3.22827 2.56160 0.77417
I am puzzled and do not know how to continue with the analysis.