MATLAB: How to use Mauchly’s test results in matlab2014a

Question

Hi, I wanted to conduct 2-way repeated measures ANOVA by matlab2014a.I had two with-subjects factors,Factor1,Factor2.Before I did the ANOVA,I did Mauchly's test firstly and found the output was:

But when I did the same analysis by SPSS,the output was:

So I was very confused with the two different kinds of output. I need to know:

1) What's the corresponding relationship between the data in SPSS' output and the matlab' output on Mauchly's test ?

2) How to use the input argument 'c' in mauchly function of matlab? If I wanted to get the same output of SPSS in matlab,how could I set the argument 'c' ?

3) From the output table of SPSS,I get 3 p value from Mauchly's test and know exactly which source(Factor1,Factor2,or Factor1*Factor2) don't meet the sphericity assumption and find the corresponding P value(P value of main effect or interaction effect) after adjustment in the table "Tests of Within-Subjects Effects".However,I get just one p value from Mauchly's test in matlab.How could I know which P value was adjusted in the table output by the function 'ranova'?That is to say,I need to know which data(p value of main effect or interaction effect) was adjusted when the result of Mauchly's test was significant in matlab?

I will be very appreciated for your answers. Thank your!

Answer 1

You can ask for the C matrices from the ranova function, for example:

[tbl,a,c] = ranova(R,'within','w1*w2')

Then you can supply that to mauchly:

mauchly(R,c)