In: Statistics and Probability
Q1. An ANOVA analysis is performed with six independent samples of equal size, testing as usual for a difference in the corresponding population means. The total degrees of freedom is 35. What is the degrees of freedom for the within sum of squares?
Q2. We are conducting an ANOVA on 4 groups with the following sample sizes:
We wish to calculate a 95% confidence interval for the difference between and (ie the difference in the means between groups 1 and 3).
The formula for the confidence interval contains a critical value from a t-statistic, how many degrees of freedom does that t-statistic have?
Q3. In the process of conducting an ANOVA, an analyst performs Levene's test and gets a p-value of 0.26. What does this tell the analyst?
Q4. What are the three assumptions of ANOVA?