In the previous lessons, we learned how to perform inference for a population mean from one sample and also how to compare population means from two samples (independent and paired). In this Lesson, we introduce Analysis of Variance or ANOVA. ANOVA is a statistical method that analyzes variances to determine if the means from more than two populations are the same. In other words, we have a quantitative response variable and a categorical explanatory variable with more than two levels. In ANOVA, the categorical explanatory is typically referred to as the factor.
- Describe the logic behind analysis of variance.
- Set up and perform one-way ANOVA.
- Identify the information in the ANOVA table.
- Interpret the results from ANOVA output.
- Perform multiple comparisons and interpret the results, when appropriate.