I have 3 groups (n=20) where I'm looking to establish differences pre & post treatment (2 intervention groups, 1 control). All are normally distributed.

I have done paired sample t-tests on all 3 groups which are all non-significant (p=0.05)

Am I right to assume that I can accept my nul hypothesis (Ho= No change) from the t-test results?

I am being told that I need to do an ANOVA analysis anyways - even if my t-tests are non- significant but I can't see the point. Is that the case?

Please help, I can't find any books to clarify the point and I'm really confused!

Joelle