I have run Levene's and Bartlett's test on groups of data from one of my experiments to validate that I am not violating ANOVA's assumption of homogeneity of variances. I'd like to check with you guys that I'm not making any wrong assumptions, if you don't mind :D
The p-value returned by both of those tests is the probability that my data, if it were generated again using equal variances, would be the same. Thus, using those tests, to be able to say that I do not violate ANOVA's assumption of homogeneity of variances, I would only need a p-value that is higher than a chosen alpha level (say 0.05)?
E.g., with the data I am currently using, the Bartlett's test returns p=0.57, while the Levene's test (well they call it a Brown-Forsythe Levene-type test) gives a p=0.95. That means, no matter which test I use, I can say that the data I meet the assumption. Am I making any mistake?