Statistics › Section K · The chi-square distribution › Topic K.3
Test of independence
The contingency-table topic asked whether two categorical variables travel together; the chi-square test of independence puts that question on formal footing. Expected counts are built from the hypothesis that they don't, and the familiar statistic prices the gap.
In this topic
- From tables to tests
- Expected counts under independence
- The statistic and its df
- Worked example: warranty and age, tested
- Worked example: three study formats
- Residuals tell the story
- Conditions: the same, by cell
- Common mistakes to avoid
- Key takeaways
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