I am new to statistics and currently got a dataset which contains 80$80$ dependent variables and 1$1$ independent variable with 2$2$ groups. MANOVA hasreports a p$p$-value of >0.6$> 0.6$ on this dataset. But when I use linear discriminant analysis (LDA), two groups can be separated perfectly (almost 100%$100\%$).
Is this result possible?
What I understand for MANOVA is that larger p$p$-value means less differentdifference between two groups. Then how can datathe groups be separated perfectly if there is no differentdifference between them?