Question:
Which test is used to compare the means of two groups when the variances of the groups are not equal:
Which test is used to compare the means of two groups when the variances of the groups are not equal:
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Unequal Variances? Use Welch's t-test.
Updated On: May 25, 2026
- Kruskal-Wallis test
- Wilcoxon test
- One-way ANOVA
- Welch t-test
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The Correct Option is D
Solution and Explanation
Step 1: Concept
The standard Student’s t-test assumes that both groups being compared have equal variances (homoscedasticity).
Step 2: Meaning
When the assumption of equal variance is violated, the standard t-test can provide inaccurate results.
Step 3: Analysis
The Welch t-test (or unequal variance t-test) is a modification of the t-test that specifically accounts for differences in group variances and sample sizes.
Step 4: Conclusion
Therefore, the Welch t-test is the appropriate choice for comparing means under unequal variance conditions. Final Answer: (D)
The standard Student’s t-test assumes that both groups being compared have equal variances (homoscedasticity).
Step 2: Meaning
When the assumption of equal variance is violated, the standard t-test can provide inaccurate results.
Step 3: Analysis
The Welch t-test (or unequal variance t-test) is a modification of the t-test that specifically accounts for differences in group variances and sample sizes.
Step 4: Conclusion
Therefore, the Welch t-test is the appropriate choice for comparing means under unequal variance conditions. Final Answer: (D)
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