4. To test whether two categorical variables are independent, a t test should be

Question

4. To test whether two categorical variables are independent, a t test should be used -5. If the chi-square test indicates that there is no difference between two proportions, this means that there is a relationship between the variables. 6. When comparing several means (e.g., two or more), one could make all pairwise comparisons to assess the null hypothesis of equality (ie, Ho: ?1 ?2-... ut). However, this is at the risk of increasing the experimentwise (or overall) type I error rate. 7. For a Two-Way ANOVA, if we do not reject the null hypothesis on interaction, then we should use multiple comparisons to find out where the differences exist between the cell means.

Explanation / Answer

4) False

An independent samples t-test is used when you want to compare the means of a normally distributed interval dependent variable for two independent groups or one.

5) True

The cells in the contingency table reflect the responses to each combination of categories for the variable of interest. If the chi-square test indicates that there is no difference between the two proportions, this means that there is a relationship between the variables.

6) True

If you did this analysis, you would have t chances to make a Type I error. Therefore, if you were using the 0.05 significance level, the probability that you would make a Type I error on at least one of these comparisons is greater than 0.05. The more means that are compared, the more the Type I error rate is inflated.

7)False

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