MANOVA

[Matthia's]

I want study the anxiety and depression scores in three types of pets with
equal size ( 10 dogs, 10 cats and 10 hamsters). So we have here :
Independent variable : type of pet
Dependent variables : Anxiety scores - Depression scores.

*I checked the following assumptions :*
- The correlation between the dependant variables because r = 0,30
- We have homogeneity of between-group for depression scores
(siginficance>0,05), but not for anxiety scores in (siginficance<0,05) so I
employ Brown-Forsythe and Welch's F test concerning anxiety.
- We have homogeneity of variance-covariance matrices because Sig.>0,01, so
the correlation between the dependant variables is equal across the groups.

*My questions : *
1)- I know we can't choose Hotelling's Trace concerning F test but I read
that Wilk's Lambda is the best choice even if Pillai's Trace is more
powerful. But I don't know why we shouldn't choose Pillai's Trace or Roy's
Largest Root F test?
2)- Concerning Post hoc test, I read that the best test for "Equal Variances
Assumed" is Tukey, and for ""Equal Variances not Assumed" is Games-Howell.
Why?
3)- I did the Brown-Forsythe and Welch's F test concerning anxiety :
<http://spssx-discussion.1045642.n5.nabble.com/file/n5723363/AS.jpg>
I read that "there is highly significant difference is anxiety scores across
pet type " and I don't understand why?
and that "The violation of homogeneity of variances poses no threat to the
validity of our results" I don't undestand why?

Thanks in advance :)



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