# Comparison of p values for Levene mean test and Levene median test?

I am doing Levene's mean test and Levene's median test (Brown-Forsythe). I want to compare the p-values of these two tests to see which is better. I get large p-values for both tests which are 0.562 (Levene mean) and 0.611 (Levene median) for normal distribution.

• Which test shows the better type I error rate?
• does Levene's mean test perform best when the data follows a normal distribution?
• I think you might want to read about type I error rates and hypothesis testing in general. Non-significant p-values are inconclusive and have anyway do not lead to a type I error. Also, what is "a better result"? Both tests fail to reject the zero hypothesis, meaning that you cannot conclude that the variances you are comparing are different. – January Apr 26 '13 at 8:40
• What is the purpose of your comparison? What is your definition of "better"? – Peter Flom Apr 26 '13 at 10:12
• i just want to know which test is more robust according to p values, couldn't i? – Alice Apr 26 '13 at 10:56
• because both tests show acceptance of null hypothesis which is equal variances (p value> alpha=0.05). but i want to know which test perform better in different distributions-normal, moderate skewed and extremely skewed distribution. can i make comparison based on p values? or any other ways for me to make comparison between these two tests? – Alice Apr 26 '13 at 12:23

• For R it's in the car package as leveneTest – Scortchi - Reinstate Monica Apr 27 '13 at 12:50