Oneway ANOVA: Follow-up tests

Week 7


Concepts

  • Follow-up tests after a significant omnibus F-test
  • conceptual review of Type-I errors
  • how Type-I error rate is determined by \alpha used for deciding significance
  • Type-II errors and statistical power
  • multiple comparisons problem and Type-I error inflation
  • corrections for multiple comparisons (Bonferroni, Tukey, Bonferroni-Holm)
  • unbalanced designs (unequal n)

Required Readings

Additional supporting materials

  • Chapter 7—ANOVA in Answering questions with data by Matthew J. C. Crump
  • ANOVA R simulations of the null hypothesis by Matthew J. C. Crump