Asked by riley rajewski on Jun 23, 2024

verifed

Verified

The Kruskal-Wallis test statistic can be approximated by a chi-squared distribution with k - 1 degrees of freedom (where k is the number of populations) whenever the sample sizes are all greater than or equal to:

A) 5
B) 15
C) 25
D) 30
E) 45

Chi-Squared Distribution

A statistical distribution employed in hypothesis testing that is known for its utility in evaluating the goodness-of-fit between observed and expected data.

Sample Sizes

Refers to the number of observations or elements chosen from a population to form a sample for a statistical study.

Kruskal-Wallis Test

A non-parametric test used to determine if there are statistically significant differences between two or more groups of an independent variable on a continuous or ordinal dependent variable.

  • Apply the Kruskal-Wallis test to assess differences across various groups.
  • Understand the relationship between sample size and the appropriateness of nonparametric test approximations.
verifed

Verified Answer

MR
Michelle RobainaJun 25, 2024
Final Answer :
A
Explanation :
The Kruskal-Wallis test requires at least 5 observations per group for the chi-squared approximation to be valid. Therefore, choice A (5) is the best answer.