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References for Chi-Square and Regression Inference

Curated resources to deepen your understanding of chi-square tests for categorical data and inference for regression slopes.

Wikipedia Articles

  1. Chi-squared test - Wikipedia - Overview of chi-squared tests including goodness-of-fit, tests for independence, and tests for homogeneity, with explanations of when each type applies and how to interpret results.

  2. Pearson's chi-squared test - Wikipedia - Detailed coverage of Karl Pearson's original chi-squared statistic, the formula derivation, expected count calculations, and conditions required for valid inference.

  3. Chi-squared distribution - Wikipedia - Mathematical properties of the chi-squared distribution including its relationship to the normal distribution, how degrees of freedom affect shape, and critical value interpretation.

Textbooks

  1. The Practice of Statistics by Starnes, Tabor, Yates, and Moore - W.H. Freeman (2018) - Comprehensive coverage of chi-square procedures and regression inference with AP-aligned examples, condition checking guidance, and practice problems matching exam format.

  2. Stats: Modeling the World by Bock, Velleman, and De Veaux - Pearson (2019) - Accessible explanations of chi-square tests and inference for regression slopes with emphasis on interpreting computer output and communicating conclusions clearly.

Online Resources

  1. AP Statistics Course and Exam Description - College Board - Official guide with learning objectives for categorical data analysis and regression inference, including sample questions and scoring rubrics for free-response items.

  2. Khan Academy: Chi-Square Tests - Khan Academy - Free video series covering goodness-of-fit tests, tests for independence, and two-way table analysis with interactive practice problems and immediate feedback.

  3. Stat Trek: Chi-Square Test - Stat Trek - Step-by-step tutorials for calculating expected counts, computing the chi-square statistic, and finding p-values using chi-square tables.

  4. Introduction to the Practice of Statistics - Moore, McCabe, and Craig Online Resources - Interactive demonstrations showing how sample size affects chi-square distributions and regression confidence intervals with real data examples.

  5. SticiGui: Regression - Philip Stark, UC Berkeley - Free online chapters covering inference for regression including the LINE conditions, residual analysis, and interpreting computer output for t-tests on slopes.