Question

_______ A researcher implements a smoking cessation study with 3 randomized groups: on-line counseling/support, face-to-face counseling support, and no counseling support.
Research question: Is there a significant difference in number of cigarettes smoked across the study groups? --->

a.   Independent t-test
b.   Dependent t-test
c.   One-way ANOVA
d.   Two-way ANOVA
e.   RM-ANOVA
f.   Pearson’s Correlation
g.   Multiple Linear Regression

Please indicate which statistical test should be used.

Answer 1

Here, we want to test whether there a significant difference in number of cigarettes smoked across three study groups. Therefore, there are more than two groups. We know that, we use one way ANOVA when we want to test difference in means of more than two groups.

On the other hand, Pearson's correlation and Multiple linear regression are used to test linear relationship between two or more variables.A t-test is used to test difference in mean between two groups and RM-Anova is used when the groups are dependent, i.e , the same group is used for measuring data before and after. Therefore, the correct answer is one-way ANOVA.

c.   One-way ANOVA