Generally , before getting to your question.

1. ANOVA with 2 samples equivalent to a two-sample test (pooled), exactly the same results, since both distributions T and F derived from the normal distribution.

2. You may ANOVA to compare if there is a difference between several groups, but if there is a different you won't know which is group the difference. Or you may run multiple comparisons (with correction) to see where will you have different.

So how many observations do you have per one participant? 3? 3*22?

To answer your question: 66 observations devided into 3 conditions witch each 22 observations (items) per participant.

The hypothesis: participants (PP) will score (RT) lowest on Condition (C)1, then C2 then C3.

Second hypothesis: PP will score equal to C1 and C2 and lower on C3.

Oh yes, I totally overlooked the reason one uses ANOVA, obviously there should be a difference begween groups! It's clear now. Then I should use t-test within PP and between PP.

Hyp Alt: U1 < U2 < U3

This helped me a lot..

P.S. If you're interested, the experiment is based on prototype enhancement effect theory and examplar based theory, it is to see which theory is supported most by results or perhaps both theories come into play, but the latter I am not interested in for my specific paper.

Thanks for the reply!