Question:
Which of the following is/are used for testing the assumption of normality?
Which of the following is/are used for testing the assumption of normality?
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Normality checks: \textbf{S–W} (direct test on sample), \textbf{J–B} (skewness \& kurtosis). Breusch–Godfrey $\Rightarrow$ autocorrelation; Park $\Rightarrow$ heteroskedasticity.
Updated On: Sep 1, 2025
- Shapiro–Wilk test
- Breusch–Godfrey test
- Jarque–Bera test
- Park test
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The Correct Option is A, C
Solution and Explanation
Step 1: Identify tests of normality.
Shapiro–Wilk directly tests whether a sample comes from a normal distribution $\Rightarrow$ (A) is true.
Jarque–Bera tests normality using sample skewness and kurtosis $\Rightarrow$ (C) is true.
Step 2: Eliminate distractors.
Breusch–Godfrey tests for autocorrelation in residuals (not normality) $\Rightarrow$ (B) false.
Park test is for heteroskedasticity (variance changes with a regressor) $\Rightarrow$ (D) false.
Hence the correct choices are \fbox{(A) and (C)}.
Shapiro–Wilk directly tests whether a sample comes from a normal distribution $\Rightarrow$ (A) is true.
Jarque–Bera tests normality using sample skewness and kurtosis $\Rightarrow$ (C) is true.
Step 2: Eliminate distractors.
Breusch–Godfrey tests for autocorrelation in residuals (not normality) $\Rightarrow$ (B) false.
Park test is for heteroskedasticity (variance changes with a regressor) $\Rightarrow$ (D) false.
Hence the correct choices are \fbox{(A) and (C)}.
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