Analysis of variance

Content for Friday, September 16, 2022

Content

• ANOVA and F-test statistic
• Power of the F-test
• Model assumptions

Learning objectives

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

• carry-out a one-way analysis of variance test
• list and explain which factors impact the power of the F-test
• check model assumptions using hypothesis tests and graphics.

Readings

• Chapter 3 of the Course notes

Complementary readings

• Chapter 2 of Meier (2022)
• Chapter 3 and 7 of Keppel & Wickens (2004).

Slides

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Tip

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References

Keppel, G., & Wickens, T. D. (2004). Design and analysis: A researcher’s handbook. Pearson Prentice Hall.

Meier, L. (2022). ANOVA and mixed models: A short introduction using R (Chapman & Hall/CRC, Eds.). https://doi.org/10.1201/9781003146216