Answers to the checkpoints of chapter 8
Hypotheses about differences between more than two groups.
- The test statistic is F.
- The F value gets bigger.
- The p value gets smaller. This means that the probability of rejecting the null hypothesis increases.
- By deducting 1 from the number of groups being compared.
- The number of observations – the number of groups.
- The groups must be independent, the measurement level must be nominal and variances must be equal. The variable must be dependent and at least have an interval measurement level.
- No, the F curve is asymmetrical and right skewed. Only data about right-tailed probability values is given.
- In regression analysis, an F test is used to test whether the explained variance is greater than zero.
- If p < 0.05, you can conclude that the explained variance deviates significantly from zero. In statistical terms: βk> 0 applies to at least one group.
- The t test.