topic Re: Shapiro Wilk Test and ANOVA in Statistical Procedures

Shapiro Wilk Test and ANOVA

anugerahsatria — Sun, 06 May 2018 11:37:37 GMT

Hello everyone,

I'd like to ask about the output on my shapiro wilk and anova test,

in the output table written that P Value is Pr <W, what is the meaning of the expression?why use less than sign?

As well as on ANOVA written that Pr> F, what does that mean? why use more than sign?

Re: Shapiro Wilk Test and ANOVA

stat_sas — Sun, 06 May 2018 21:52:05 GMT

Hi,

This provides a decision boundary to decide whether a variable is normally distributed or not using shapiro wilk based on probability of observing shapiro statistic under the null hypothesis. Same is true for ANOVA which is used to compare means of a continuous variable across different levels of a classification variable.

Re: Shapiro Wilk Test and ANOVA

ballardw — Mon, 07 May 2018 23:40:20 GMT

Think of Pr <W as probability of a smaller W statistic

Pr>F as probability of a larger F statistic

Direction will be based on the actual type of test statistic and its distribution and the value(s) of related elements such as degrees of freedom and possibly hypothesis test options (one-tailed vs. two-tailed for instance)