# shapiro-wilk

1. ### Shapiro-Wilks significant, all other indicators NORMAL

Hello everyone, I am checking my assumptions before running an ANCOVA, one of which is that the DV is normally distributed across all levels of the IV. MY IV is 3 groups (Ns of 32, 31, and 32) and my DV is a continuous variable from 1 - 5. Before splitting into groups, it looks normal and the...
2. ### Normality tests and Shape statistics contradictory

Hello. I am testing for normality on a number of repeated measures variables in a sample of 29 people. Both the Kolmogorov-Smirnov test and the Shapiro-Wilk test statistics say that all of these variables are significantly non-normal. However, observations of skew and kurtosis (as well as...
3. ### Transformation to improve normality

Hi, I have a problem with some data that I am trying to analyse in a Repeated Measures design. I have 5 conditions (variables), 13 subjects, data points ranging from about -40.0 to +40.0 Both the Kolmogorov-Smirnov and Shapiro-Wilk tests are significant for some of the variables. Some of...
4. ### What is the role of the test statistic? [I'm not talking about the p-value]

For example when Shapiro-Wilk test shows the statistic .945, df=12, p-value=.563 I know it's 'not significant' and I retain the H0 hypothesis, but I also have to write about the test statistic (.945), so what does it mean, when is it high, when is it low, comparing to what? Regards, Chris