​'Chi-square Test' is used to measure:​

Correct option is B

Introduction

The Chi-square (χ²) Test is a non-parametric statistical test used to determine whether the observed frequencies differ significantly from the expected frequencies. It is widely used in geography, social sciences, biology, and economics.

Information Booster

(B) Goodness of Fit ✔ (Correct Answer)

The Chi-square Test is primarily used to test the Goodness of Fit, i.e., whether the observed data fit a theoretical or expected distribution.

It is commonly used for:

• Goodness of Fit Test
• Test of Independence (Association)
• Test of Homogeneity

✔ Correct Answer

Why the other options are incorrect?

(A) Mean Deviation ✘

• Mean deviation is a measure of dispersion.
• It is not measured using the Chi-square test.

(C) Trend ✘

• Trend is analyzed using:
  • Time series analysis
  • Regression
  • Moving averages
• Chi-square is not used for trend analysis.

(D) Variation ✘

• Variation is measured by:
  • Range
  • Variance
  • Standard deviation
  • Coefficient of variation

Chi-square does not directly measure variation.

Additional Knowledge

Major Uses of the Chi-square Test