# 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. Commented Apr 26, 2013 at 8:40
• What is the purpose of your comparison? What is your definition of "better"? Commented Apr 26, 2013 at 10:12
• i just want to know which test is more robust according to p values, couldn't i? Commented Apr 26, 2013 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? Commented Apr 26, 2013 at 12:23
• @January Don't odds ratio tests compare probabilities? I think comparison of probabilities can have meaning depending on the circumstances. I think I understand what you are saying, but it may be a half truth. It may be that a better test often has more extreme results, e.g. closer to $p=0$ or $p=1$. What do you think?
– Carl
Commented Mar 15 at 13:58

• For R it's in the car package as leveneTest Commented Apr 27, 2013 at 12:50