Properties of the Chi-Square Test
Which is true about Chi-square test-
- It is non-parametric test (No population parameters are required)
- It is used to assess two types of comparison (i) test of goodness of fit (ii) test for independent attributes
- Calculated value of Chi-square test is always positive
- All the above — Correct Answer
Explanation:
Correct Answer: All the above
All three statements about the Chi-square (χ²) test are correct.
Chi-Square Test — Key Facts
- Non-parametric: No population parameters (mean, SD) are required.
- Applied to: Enumeration (count) statistics only — not for continuous measurements.
- Two applications:
- Test for goodness of fit: χ² = Σ(O − E)² / E, where O = observed, E = expected frequency.
- Test for independence of attributes: assesses association between two categorical variables.
- Calculated value always positive because it involves squaring the differences (O − E)².
Examples in Genetics
- Testing whether observed F₂ ratios (e.g., 3:1, 9:3:3:1) fit expected Mendelian ratios → goodness of fit.
- Testing whether two traits are independent (e.g., breed and disease status).
📚 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.
