Comparing Multiple Sample Means
Which test is used to compare more than two sample means-
- Z-test
- T-test
- F-test — Correct Answer
- Chi-square test
Explanation:
Correct Answer: F-test
To compare more than two sample means simultaneously, ANOVA (Analysis of Variance) is used, and ANOVA is based on the F-test.
Why Not T-test?
T-test can only compare two means at a time. Comparing multiple means pairwise inflates the Type I error rate (false positives). ANOVA overcomes this by testing all means in one go.
F-test: Dual Role
| Application | Description |
|---|---|
| Comparing two variances | F = S₁² / S₂² (ratio of two sample variances) |
| ANOVA (comparing >2 means) | F = Mean Square Between / Mean Square Within |
📚 About this Topic — Animal Genetics & Breeding
This multiple choice question is from Animal Genetics & Breeding, Animal Refresher. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from Animal Genetics & Breeding to strengthen your preparation.
