Statistics Homework
1. What is the difference between a test of independent means and a test of dependent means, and when is each appropriate?
2. In the following examples, indicate whether you would perform a t test of independent means or dependent means.
a. Two groups were exposed to different levels of treatment for ankle sprains. Which treatment was most effective?
b. A researcher in nursing wanted to know if the recovery of patients was quicker when some received additional in-home care whereas others received the standard amount.
c. A group of adolescent boys was offered interpersonal skills counseling and then tested in September and May to see if there was any impact on family harmony.
d. One group of adult men was given instructions in reducing their high blood pressure whereas another was not given any instructions.
e. One group of men was provided with access to an exercise program and tested two times over a 6-month period for heart health.
6. Do this exercise the good old-fashioned way, by hand. A famous brand name manufacturer wants to know whether people prefer nibbles or wribbles. They get a chance to sample each type of cracker and indicate their like or dislike on a scale from 1-10. Which do they like the most?
|
Nibbles Rating |
Wribbles Rating |
|
9 |
4 |
|
3 |
7 |
|
1 |
6 |
|
6 |
8 |
|
5 |
7 |
|
7 |
7 |
|
8 |
8 |
|
3 |
6 |
|
10 |
7 |
|
3 |
8 |
|
5 |
9 |
|
2 |
8 |
|
9 |
7 |
|
6 |
3 |
|
2 |
6 |
|
5 |
7 |
|
8 |
6 |
|
1 |
5 |
|
6 |
5 |
|
3 |
6 |
Chapter 13
3. Using the following table, provide three examples of a simple one-way Anova, two examples of a two-factor ANOVA, and one example of a three factor ANOVA. We show you some examples, you show the others. Be sure to identify the grouping and test variable as we have done here.
|
Design |
Grouping Variable(s) |
Test Variable |
|
Simple ANOVA |
Four levels of hours training- 2,4,6 and 8 hours |
Typing accuracy |
|
Enter Example here |
Enter Example here |
|
|
Enter Example here |
Enter Example here |
|
|
Enter Example here |
Enter Example here |
|
|
Two-factor ANOVA |
Two levels of training and gender (2 x 2 design) |
Typing Accuracy |
|
Enter Example here |
Enter Example here |
|
|
Enter Example here |
Enter Example here |
|
|
Three-factor ANOVA |
Two levels of training and two of gender and three of income |
Voting attitudes |
|
Enter Your Example here |
Enter Your Example here |
|
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