Question

1. A repeated-measures ANOVA is just like a related-means t-test except

A. there can only be one independent variable in the repeated-measures ANOVA.

B. there can only be two levels of the independent variable in the repeated-measures ANOVA.

C. there can only be two levels of the independent variable in the related-means t-test.

D. There are no differences between the repeated-measures ANOVA and the related-means t-test.

2. Describe a hypothetical research scenario which would illustrate each of the following in a repeated-measures ANOVA: (Hint: Review these terms from the related-means t-test module)

A. Practice Effect

B. Carry-over Effect

3. For a repeated-measures ANOVA, J=4. How many times were the participants measured?

A. 3

B. 4

C. 5

D. Unable to determine…more information is necessary

4. Complete the following repeated-measures ANOVA table.

Source                 SS                 df            MS                F                             p

Treatments        15.25            2             7.625              _____                   _____

Subjects               6.00               7             _____          

Error                    14.75          14             _____          

Total                    36.00          ___

5. What is the α=.05 critical value for the outcome in Question 4?

Answer 1

1. A repeated-measures ANOVA is just like a related-means t-test except

The correct choice is as follows:

B. there can only be two levels of the independent variable in the repeated-measures ANOVA.

Because there are more than two  levels of the independent variable in the repeated-measures ANOVA.

For two levels of independent variable we use  related-means t-test.

2.

We can analyse data using a repeated measures ANOVA for two types of study design.

(1) changes in mean scores over three or more time points, or

(2) differences in mean scores under three or more different conditions

So correct choice is B.

3. For a repeated-measures ANOVA, J=4. How many times were the participants measured?

The correct choice is B. that is we need four times the participants measured.

Let's use excel for calculation:

The formula use on the above excel sheet are as follows:

5. What is the α=.05 critical value for the outcome in Question 4?

Numerator degrees of freedom = 2

Denominator degrees of freedom = 14

Level of significance = 0.05

So by using the following excel command , the critical F value is

F_crit. = "=FINV(0.05,2,14)" = 3.738892