Analysis of variance

Content

  • ANOVA and F-test statistic
  • Model assumptions

Learning objectives

At the end of the session, students should be capable of

  • carry-out a one-way analysis of variance test
  • check model assumptions using hypothesis tests and graphics.

Readings

Complementary readings

  • Chapter 3 of Maxwell et al. (2017) (up to page 113).
  • Chapter 2 of Meier (2022)
  • Chapter 3 and 7 of Keppel & Wickens (2004).

Slides

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Code

References

Keppel, G., & Wickens, T. D. (2004). Design and analysis: A researcher’s handbook. Pearson Prentice Hall.
Maxwell, S. E., Delaney, H. D., & Kelley, K. (2017). Designing experiments and analyzing data: A model comparison perspective (3rd ed.). routledge. https://doi.org/10.4324/9781315642956
Meier, L. (2022). ANOVA and mixed models: A short introduction using R (Chapman & Hall/CRC, Eds.). https://doi.org/10.1201/9781003146216