Re: calculating eta-squared for MANOVA with one IV

Posted by MaaikeSmits on May 13, 2015; 6:57pm
URL: http://spssx-discussion.165.s1.nabble.com/calculating-eta-squared-for-MANOVA-with-one-IV-tp1092356p5729555.html

I want to rapport the percentage of explained variance from the output of a MANOVA (SPSS 21.0) that I ran on a clustersolution with two clusters (clustermembership a independent VAR) and 10 dependent variables. In your earlier reply you stated that
1) multivariate r-squared is 1-wilk's lambda.

I first used this calculation, but now I read the following:

2) Multivariate eta squared = 1- wilks' lambda ^ (1/s). In which s is the number of levels of the factor minus 1 or the number of dependent VAR, whichever is smaller.

When I calculate the latter, then the result compares with the PARTIAL eta squared column that is shown in the Multivariate test SPSS table . I am wondering now which calculation I should use to inform me on the percentage variance in the dependent Variabels that is explained by the clustermembership.

Can I state:
* The first calculation provides the multivariate variant of R-squared (which can in the case be used interchangeable with eta squared?), meaning the proportion of the total variance (on all 10 dependent VAR) that is explained by the variabele (in my case clustermembership).
* The second calculation provides PARTIAL eta squared which differs from R-squared /eta-squared in the sense that this is the proportion of the total variance that is explained by the independent VAR (clustermembership) AND that is not explained by other variables in the analysis?


I would very much appreciate you help.