Statistical Test for Two Variances
Which test is used to compare two variance-
- Z-test
- T-test
- F-test — Correct Answer
- Chi-square test
Explanation:
Correct Answer: F-test
The F-test is used to compare two variances. The test statistic is F = (larger variance) / (smaller variance), following the F-distribution.
Applications of F-test
- To compare two variances (whether two populations have equal variance).
- In ANOVA — to compare more than two sample means simultaneously.
All Four Statistical Tests
| Test | Use | Key Condition |
|---|---|---|
| Z-test | Compare sample mean vs population mean | n > 30, population SD known |
| T-test | Compare sample mean vs population mean | n < 30, population SD unknown |
| F-test | Compare two variances OR >2 sample means | — |
| Chi-square (χ²) | Non-parametric, categorical data | Enumeration data only; result always positive |
📚 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.
