Chi-square test for homogeneity
Definition
The chi-square test for homogeneity is a statistical test used to compare the distributions of multiple groups or populations based on categorical data. It determines whether the proportions or frequencies across different groups are significantly different from each other.
Analogy
Imagine you want to know if there's a significant difference in music preferences among three high school bands. You collect data on their preferred genres and use the chi-square test for homogeneity to analyze if there's evidence that these bands have distinct music preferences.
Related terms
Expected frequencies: The values calculated under the assumption that there is no difference between groups in a chi-square test for homogeneity.
Test statistic: A value calculated from sample data that helps determine whether to reject or fail to reject the null hypothesis.
Significance level (alpha): The predetermined threshold used to determine statistical significance in hypothesis testing.
"Chi-square test for homogeneity" appears in:
Additional resources (2)
Practice Questions (1)
- What is the conclusion in a chi-square test for homogeneity if the p-value is less than 0.05?
Resources
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