Upon completion of this chapter, you should be able to:
- Perform basic computations for Single Factor ANOVA and interpret the results.
- Carry out the Tukey pairwise mean comparison method.
- Learn about other pairwise mean comparison methods.
- Conduct a contrast analysis that accommodates the comparison of group means.
In this chapter, we will begin to learn the notation and the formulas to compute the fundamental quantities necessary for ANOVA-related hypothesis testing as well as mean comparison procedures. The application of these statistical procedures will be illustrated using the Greenhouse example from Chapter 1.
- 2.1: Building the ANOVA Table - Notation
- Notation used in the ANCOVA table, including the test (F) statistic, indicator subscripts, and grand and treatment means.
- 2.2: Computing Quantities for the ANOVA Table
- Example showing how to calculate quantities for the ANOVA table.
- 2.3: Tukey Test for Pairwise Mean Comparisons
- Using the Tukey test to identify and characterize to identify groups that differ from each other, if we reject the null hypothesis.
- 2.4: Other Pairwise Mean Comparison Methods
- Overview of pairwise mean comparison methods besides the Tukey method. Includes LSD, Bonferroni, Scheffé, and Dunnett.
- 2.5: Contrast Analysis
- Testing procedure for contrast analysis.
- 2.6: Try It!
- Practice exercises for ANOVA analysis.