Statistical Test for Comparing Two Variances
Which of the following test is used to compare two variance?
- F-test — Correct Answer
- Z-test
- T-test
- Chi-square test
Explanation:
Correct Answer: F-test
The F-test is used to compare two variances by computing the ratio of the larger variance to the smaller. It is also the basis of ANOVA (Analysis of Variance), which compares more than two sample means.
Statistical Tests — Summary
| Test | Application | Condition |
|---|---|---|
| Z-test | Compare sample mean & population mean | Large sample (n > 30); population SD known |
| T-test | Compare sample mean & population mean | Small sample (n < 30); population SD unknown. Types: Paired T-test & Unpaired T-test |
| Chi-square test (χ²) | Goodness of fit; independence of attributes | Non-parametric; enumeration data only; χ² = Σ(O−E)²/E; always positive |
| F-test / ANOVA | Compare two variances; compare >2 sample means | ANOVA used for testing differences between more than two sample means |
📚 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.
