10.7 - Lesson 10 Summary

Objectives

Upon successful completion of this lesson, you should be able to:

  • Explain why it is not appropriate to conduct multiple independent t tests to compare the means of more than two independent groups
  • Use Minitab to construct a probability plot for an F distribution
  • Use Minitab to perform a one-way ANOVA with Tukey's pairwise comparisons
  • Interpret the results of a one-way ANOVA
  • Interpret the results of Tukey's pairwise comparisons

In this lesson you learned how to compare the means of three or more groups using a one-way ANOVA. A one-way ANOVA is used instead of multiple independent \(t\) tests in order to avoid increasing the likelihood of committing a Type I error.

A one-way ANOVA provides information about the explanatory variable overall, but not about differences between the different levels of that variable. In order to compare the different pairs we need to conduct a post-hoc analysis such as Tukey's HSD test. 

This lesson gave you a brief overview of the one-way ANOVA. If you would like to learn more about analysis of variance techniques, ask your instructor about some of the more advanced statistics courses available on the topic.