How to Interpret the Shapiro-Wilk Test

Statistics can be less complex when the steps are broken down.

The Shapiro-Wilk Test tests to see if a sample's population is normally distributed. The Shapiro-Wilk Test is interpreted based on the p-value. Therefore, it is necessary to understand what the p-value is when trying to interpret the test.

Instructions

1. Solve for the p-value. The Shapiro Wilk Test is interpreted based upon the p-value. Therefore, the p-value must be calculated.

2. Identify the alpha level. The alpha level is used when comparing it to the p-value. The alpha level is often given in problems or can be located in the alpha chart which is also provided.

3. Compare the alpha level to the p-value. Reject the null hypothesis If the p-value is less than the alpha level. If the p-value is greater than the alpha level, do not reject the null hypothesis.

Tips & Warnings

• Double check that the p-value is calculated correctly, because if this value is incorrect the interpretation can be incorrect.

References

• How to Interpret the Shapiro Wilk Test