Chi Square Tests
Statistics • 5 topics in this chapter.
Chi-Square Tests on STEM Calculators is a statistics chapter for analyzing categorical data with the chi-square distribution. It includes tools for the chi-square goodness-of-fit test, chi-square test of independence, and chi-square test of homogeneity, helping you compare observed counts to expected counts, evaluate whether variables are associated, and interpret results from contingency tables in a clear, structured way.
This chapter is aimed at intermediate to advanced learners who are ready for inference with frequency data, while still being approachable for students seeing chi-square testing for the first time. Teachers can generate verified contingency table examples, self-learners can learn how expected frequencies are computed and why degrees of freedom matter, and advanced users can quickly validate chi-square calculations for surveys, experiments, market research, and classroom lab data.
Enter your observed counts (and expected counts when needed) to get expected frequency tables, the chi-square test statistic, degrees of freedom, p-value, and a conclusion written in context. With step-by-step outputs that explain assumptions and highlight which cells contribute most to the test statistic, this page helps you master chi-square tests faster and make accurate decisions from categorical data.
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1. The Chi Square Distribution
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2. A Goodness of Fit Test
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3. A Test of Independence
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4. A Test of Homogeneity
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5. Inferences About the Population Variance
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