Question

Section l: Scenarios (20 pts) Read the following scenarios and state the appropriate test to analyze the data from the list of 7 tests below. Two-way ANOVA One-sample t-test Independent-samples t-test Paired-samples t-test One-way ANOVA* Repeated-measures ANOVA Correlation 1.5 Cholesterol (2.0 pts): A study is conducted to examine the impact of a new medicine on the cholesterol level in adults. It is also hypothesized that the new medicine may work differently for women and men. Therefore, you recruit 20 women and 20 men and assign 10 women and 10 men to receive the medication The remaining participants (10 women and 10 men) are assigned to receive a placebo. If you wanted to determine whether the new medication decreases cholesterol and whether there is a difference between women and men in response to the new medication, which test would you conduct?

Answer 1

Solution:

For the given scenario, Two-way ANOVA is the appropriate test to analyze the given date.

When we have one measurement variable (I.e.quantitative variable ) and two nominal variables,then use two way ANOVA.

Here, we have cholesterol level is quantitative outcome and we have two categorical explanatory variables i.e.men and women,a two -way ANOVA is appropriate.