Properties of the Chi-Square Test
Which of the following sentence is correct about Chi-Square test?
- It is a non-parametric test
- It is applied in case of enumeration statistics only
- Both a & b — Correct Answer
- None
Explanation:
Correct Answer: Both a & b
The Chi-square test (χ²) has two important properties confirmed in the notes: it is a non-parametric test (no population parameters required), and it is applied exclusively to enumeration (count/categorical) data, not continuous measurement data.
Chi-Square Test — Key Details
- Formula: χ² = Σ(O − E)² / E, where O = observed frequencies, E = expected frequencies
- Applications: (1) Test for goodness of fit; (2) Test for independence of attributes
- Important note: Calculated value of chi-square is always positive
- Non-parametric: No assumption of normal distribution or known population variance is required
Comparison with Other Tests
| Test | Parametric? | Data Type |
|---|---|---|
| Z-test / T-test / F-test | Yes (parametric) | Continuous measurement data |
| Chi-square test | No (non-parametric) | Enumeration / categorical data only |
📚 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.
