How Do I Interpret the Shapiro Wilk Test for Normality

If the Sig. value of the Shapiro-Wilk Test is greater than 0.05, the data is normal. If it is below 0.05, the data significantly deviate from a normal distribution.

How do you interpret the value of Shapiro-Wilk Test?

The Prob < W value listed in the output is the p-value. If the chosen alpha level is 0.05 and the p-value is less than 0.05, then the null hypothesis that the data are normally distributed is rejected. If the p-value is greater than 0.05, then the null hypothesis is not rejected.

What does a significant result of the Shapiro-Wilk Test indicate?

A large enough sample size will make the Shapiro-Wilk test detect the smallest deviation from normality, in this case the p-value will be < 0.05 even if the variable is, in fact, normally distributed. … Therefore, these variables should be ruled as following non-normal distributions.