1. When should you use a factorial ANOVA rather than a simple ANOVA to test the significance of the difference between the average of two or more groups? 2. Create a drawing or plan for a 2 x3 experimental design that would lend itself to a factorial ANOVA. Be sure to identify the independent and dependent variables. 3. #4 Use Chapter 14 Data set 3 (below) and answer the following questions in an analysis of whether level of stress and gender has an impact on caffeine consumption (measured as cups of coffee per day). a. Is there as difference between the levels of caffeine consumption for the high-stress, low-stress, and no-stress groups? b. Is there a difference between males and females, regardless of stress group? c. Any interactions? Chapter 14 Data set 3 severeity treatment Pain Score severity Treatment Pain Score 1 Drug #2 5 2 Placebo 5 1 Drug #2 4 2 Placebo 6 1 Drug #2 5 2 Placebo 5 1 Drug #2 4 2 Placebo 4 1 Drug #2 3 2 Placebo 4 1 Drug #2 3 2 Placebo 6 1 Drug #2 3 2 Placebo 5 1 Drug #2 4 2 Placebo 4 1 Drug #2 5 2 Placebo 2 1 Drug #2 5 2 Placebo 1 1 Drug #2 5 2 Placebo 3 1 Drug #2 6 2 Placebo 2 1 Drug #2 6 2 Placebo 2 1 Drug #2 7 2 Placebo 3 1 Drug #2 6 2 Placebo 4 1 Drug #2 5 2 Placebo 3 1 Drug #2 7 2 Placebo 2 1 Drug #2 6 2 Placebo 2 1 Drug #2 8 2 Placebo 1 Gender Caff_Consumption Stress 1 5 1 1 6 3 2 7 3 1 7 2 1 5 3 1 6 1 8 2 1 8 2 2 9 1 2 8 1 2 9 1 2 7 2 2 4 1 2 3 1 1 0 1 2 4 2 1 5 1 2 6 2 1 2 2 1 4 3 1 5 3 2 5 3 1 4 2 1 3 2 1 7 3 2 8 2 1 8 2 1 11 1 1 2 2 1 3 1 1. Given the following information, Use Table B.4 in Appendix B to determine whether the correlations are significant and how you would interpret the results. a. The correlation between speed and strength for 20 women is 567. Test these results at the .01 level using a one-tailed test. b. The correlation between the number correct on a math test and the time it takes to complete the test is -.45. Test where the correlation is significant for 80 children at the .05 level of significance. Choose either a one –or a two –tailed test and justify your choice. c. The correlation between number of friends and grade point average (GPA) for 50 adolescents is 37. Is this significant at the .05 level for a two-tailed test? One Tailed Test( DF) 0.05 0.01 Two-Tailed (df) 0.05 0.01 1 0.9877 0.9995 1 0.9969 0.9999 2 0.9 9800 2 0.95 9900 3 0.8054 0.9343 3 0.8783 0.9587 4 0.7293 0.8822 4 0.8114 0.9172 5 0.6694 0.832 5 0.7545 0.8745 6 0.6215 0.78887 6 0.7067 0.8343 7 0.5822 0.7498 7 0.6664 0.7977 8 0.5494 0.7155 8 0.6319 0.7646 9 0.5214 0.6851 9 0.021 0.7348 10 0.4973 0.6581 10 0.576 0.7079 11 0.4762 0.6339 11 0.5529 0.6835 12 0.4575 0.612 12 0.5324 0.6614 13 0.4409 0.5923 13 0.5339 0.6411 14 0.4259 0.5742 14 0.4973 0.6226 15 0.412 0.5577 15 0.4821 0.6055 16 4000 0.5425 16 0.4683 0.5897 17 0.3887 0.5285 17 0.4555 0.5751 18 0.3783 0.5155 18 0.4438 0.5614 19 0.3687 0.5034 19 0.4329 0.5487 20 0.3598 0.4921 20 0.4227 0.

1. 1.
When should you use a factorial ANOVA rather than a simple
ANOVA to test the significance of the difference between the
average of two or more groups?
2.
Create a drawing or plan for a 2 x3 experimental design that
would lend itself to a factorial ANOVA.
Be sure to identify the independent and dependent variables.
3.
#4 Use Chapter 14 Data set 3 (below) and answer the following
questions in an analysis of whether level of stress and gender
has an impact on caffeine consumption (measured as cups of
coffee per day).
a.
Is there as difference between the levels of caffeine
consumption for the high-stress, low-stress, and no-stress
groups?
b.
Is there a difference between males and females, regardless of
stress group?
c.
Any interactions?

2. Chapter 14 Data set 3
severeity
treatment
Pain Score
severity
Treatment
Pain Score
1
Drug #2
5
2
Placebo
5
1
Drug #2
4
2
Placebo
6
1
Drug #2
5
2
Placebo
5
1
Drug #2
4
2
Placebo
4
1
Drug #2
3

3. 2
Placebo
4
1
Drug #2
3
2
Placebo
6
1
Drug #2
3
2
Placebo
5
1
Drug #2
4
2
Placebo
4
1
Drug #2
5
2
Placebo
2
1
Drug #2
5
2
Placebo
1
1
Drug #2
5

4. 2
Placebo
3
1
Drug #2
6
2
Placebo
2
1
Drug #2
6
2
Placebo
2
1
Drug #2
7
2
Placebo
3
1
Drug #2
6
2
Placebo
4
1
Drug #2
5
2
Placebo
3
1
Drug #2
7

5. 2
Placebo
2
1
Drug #2
6
2
Placebo
2
1
Drug #2
8
2
Placebo
1
Gender
Caff_Consumption
Stress
1
5
1
1
6
3
2
7
3
1
7
2
1
5
3
1
6

6. 1
8
2
1
8
2
2
9
1
2
8
1
2
9
1
2
7
2
2
4
1
2
3
1
1
0
1
2
4
2
1
5
1
2
6
2

7. 1
2
2
1
4
3
1
5
3
2
5
3
1
4
2
1
3
2
1
7
3
2
8
2
1
8
2
1
11
1
1
2
2
1
3
1

8. 1.
Given the following information, Use Table B.4 in Appendix B

9. to determine whether the correlations are significant and how
you would interpret the results.
a.
The correlation between speed and strength for 20 women is
567.
Test these results at the .01 level using a one-tailed test.
b.
The correlation between the number correct on a math test and
the time it takes to complete the test is -.45.
Test where the correlation is significant for 80 children at the
.05 level of significance.
Choose either a one –or a two –tailed test and justify your
choice.
c.
The correlation between number of friends and grade point
average (GPA) for 50 adolescents is 37. Is this significant at the
.05 level for a two-tailed test?
One Tailed Test(
DF)
0.05
0.01
Two-Tailed (df)
0.05
0.01

10. 1
0.9877
0.9995
1
0.9969
0.9999
2
0.9
9800
2
0.95
9900
3
0.8054
0.9343
3
0.8783
0.9587
4
0.7293
0.8822
4
0.8114
0.9172
5
0.6694
0.832
5
0.7545
0.8745
6

11. 0.6215
0.78887
6
0.7067
0.8343
7
0.5822
0.7498
7
0.6664
0.7977
8
0.5494
0.7155
8
0.6319
0.7646
9
0.5214
0.6851
9
0.021
0.7348
10
0.4973
0.6581
10
0.576
0.7079
11
0.4762

12. 0.6339
11
0.5529
0.6835
12
0.4575
0.612
12
0.5324
0.6614
13
0.4409
0.5923
13
0.5339
0.6411
14
0.4259
0.5742
14
0.4973
0.6226
15
0.412
0.5577
15
0.4821
0.6055
16
4000
0.5425

13. 16
0.4683
0.5897
17
0.3887
0.5285
17
0.4555
0.5751
18
0.3783
0.5155
18
0.4438
0.5614
19
0.3687
0.5034
19
0.4329
0.5487
20
0.3598
0.4921
20
0.4227
0.5368
25
0.3233
0.4451
25

14. 0.3809
0.4869
30
0.296
0.4093
30
0.3494
0.4487
35
0.2746
0.381
35
0.3246
0.4182
40
0.2573
0.3578
40
0.3044
0.3932
45
0.2428
0.3384
45
0.2875
0.3721
50
0.2306
0.3218
50
0.2732

15. 0.3541
60
0.2108
0.2948
60
0.25
0.3248
70
0.1954
0.2737
70
0.2319
0.3017
80
0.1829
0.2565
80
0.2172
0.283
90
0.1726
0.2422
90
0.205
0.2673
100
0.1638
0.2301
100
0.1946
0.254

16. 4.
(Use Data Set info from above again) Answer the following
questions below.
Compute the correlation coefficient manually .
A.
Test for the significance of the correlation coefficient at the .05
level using a two-tailed test between hours of studying and
grade.
B.
Interpret the correlation.
What do you conclude about the relationship between the
number of hours spent studying and the grade received on a
test?
C.
How much variance is shared between the two variables?
D.
How do you interpret the results?
5.
A study was completed that examined the relationship between
coffee consumption and the level of stress for a group of 50
undergraduates.

17. The correlation was .373, and it was a two-tailed test, done at
the .01 level of significance.
First, is the correlation significant? Second, what’s wrong with
the following statement? “As a result of the data collected in
this study and out rigorous analyses, we have concluded that if
you drink less coffee, you will experience less stress.”
6.
Use the following set of data to answer the questions, Do this
one manually.
Age in Months
Number of Words known
12
6
15
8
9
4
7
5
18
14
24
18
15
7
16
6
21
12
15
17

18. A.
Compute the correlation between age in months and number of
words known.
B.
Test for the significance of the correlation at the .05 level of
significance.
C.
Recall what was learned about correlation and coeffecients and
interpret this correlation.