Inference for categorical data (chi-square tests)

Chi-square goodness-of-fit tests

Learn

Chi-square distribution introduction
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Pearson's chi square test (goodness of fit)
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Chi-square statistic for hypothesis testing
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Chi-square goodness-of-fit example
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Practice

Expected counts in a goodness-of-fit testGet 3 of 4 questions to level up!
Conditions for a goodness-of-fit testGet 3 of 4 questions to level up!
Test statistic and P-value in a goodness-of-fit testGet 3 of 4 questions to level up!
Conclusions in a goodness-of-fit testGet 3 of 4 questions to level up!

Chi-square tests for relationships

Learn

Filling out frequency table for independent events
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Contingency table chi-square test
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Introduction to the chi-square test for homogeneity
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Chi-square test for association (independence)
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Practice

Expected counts in chi-squared tests with two-way tablesGet 3 of 4 questions to level up!
Test statistic and P-value in chi-square tests with two-tablesGet 3 of 4 questions to level up!
Making conclusions in chi-square tests for two-way tablesGet 3 of 4 questions to level up!

About this unit

Chi-square tests are a family of significance tests that give us ways to test hypotheses about distributions of categorical data. This topic covers goodness-of-fit tests to see if sample data fits a hypothesized distribution, and tests for independence between two categorical variables.