Introduction to Analysis of Variance (ANOVA)

11-1: Understand what between-group and within-group variability consist of and represent.

11-2: Understand the role of between-group and within-group variability in testing differences between group means.

11-3: Understand what ‘ANOVA’ stands for, and why.

11-4: Understand why, in testing the difference between means, the inferential statistic is called the F-ratio.

11-5: Understand the characteristics of the theoretical distribution of F-ratios.

Inferential statistics: One-way Analysis of Variance (ANOVA)

11-6: Understand how to state the null (H0) and alternative (H1) hypothesis for a one-way ANOVA.

11-7: Calculate and interpret the degrees of freedom (df), between-group variance (MSBG), within-group variance (MSWG), and the F-ratio (F) for the one-way ANOVA.

11-8: Create an ANOVA summary table for the one-way ANOVA.

11-9: Calculate and interpret R² for a one-way ANOVA.

11-10: Understand what conclusion can be drawn when the null hypothesis for a one-way ANOVA is rejected.

Analytical comparisons within the one-way ANOVA

11-11: Understand the purpose of conducting analytical comparisons.

11-12: Define and describe two types of analytical comparisons, and in what research situations you would use one versus the other.

11-13: Conduct and interpret planned and unplanned comparisons for the one-way ANOVA..

11-14: Understand concerns researchers have about unplanned comparisons.

11-15: Define and describe familywise error, and how can it be controlled.