we are doing an experiment where body consistence (weight, proportion of muscles, fat, water in body etc.) is measured. We have 103 respondents, water and banana (factor meal) were given to EACH of them a then they were measured in 5 different times (time 0, immediately after consuming water or banana, after 30, 60 and 90 minutes) - once after drinking water, once after eating banana. We also have an information about sex of participants.

I would like to find out how long after consuming water/banana is the body consistence in the original level (time 0); at first without sex separation (factors: meal, time), then including sex as the third factor (factors: meal, sex, time).

So, I would test if the means differ for each group (meal*time or meal*sex*time), that is why I can find out (post-hoc analysis) in which time occations are the means of body consistence the same. I would choose ANOVA. I am not sure which ANOVA test to use.

Can ANOVA be used at all? Factor "time" has 5 levels (5 different time occations), these are highly correlated (almost 1), i.e. levels of time factor are correlated. Can I use ANOVA if levels of one factor are correlated? If not, which test is appropriate?

I would be grateful for any response.

Thank you!