Use the preparation materials to prepare hand-written answers for the following questions. Please ask any questions on the "Questions -- Preparation Guide" on the course Team (see link on the homepage.)
- What are the four assumptions of a One-Way ANOVA?
- Which two assumptions are critical for a One-Way ANOVA and which one is the One-Way ANOVA resilient to?
- What are the five most common transformations (by name and by power value)?
- Which of those five transformations is “strongest” (i.e., handles the most skewed data)?
- Which of those five transformations is the transformation that you should try first and that you hope works (relative to the other transformations)? Why?
- Explain how a log transformation can “transform” a strongly right-skewed to a symmetric distribution.
- Is it possible to use a power transformation with data that contains negative values? Explain how?
- Explain how you will use R to find an appropriate power transformation for meeting the assumptions of a One-Way ANOVA.
- What transformation is used most often if the response variable consists of percentages?
- How do you back-transform the mean log of Y to be just the mean of Y?
- How do you back-transform the mean fourth root of Y to be just the mean of Y?
- Can you back-transform the difference in group means of the cube root of Y?
- Can you back-transform the difference in group means of the log of Y?
- How do you interpret the back-transformed difference in group means of the log of Y?
- [Optional] What questions do you have from this reading that you would like me to address? [Please be as specific as possible. Don't just say "everything" or "I don't understand anything." Of course, you can ask me questions about the reading before class on MS Teams.]