Correct Statements About the Chi-Square Test
Which of the following statements is/are correct about the Chi-square test?
- It is a non-parametric test
- It is applied in case of enumeration statistics only
- Both a & b — Correct Answer
- None of the above
Explanation:
Correct Answer: Both a & b
Both statements about the Chi-square test are correct:
- It is a non-parametric test — no population parameters are required.
- It is applied in the case of enumeration (count) statistics only — not for continuous measurements.
Applications of Chi-Square Test
- Test for goodness of fit: χ² = Σ(O – E)² / E, where O = observed frequencies, E = expected frequencies.
- Test for independence of attributes.
Important: The calculated value of chi-square is always positive (since the numerator is squared). This is a commonly asked point in competitive exams.
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