Statistics for the Behavioral Sciences by Frederick J. Gravetter, Larry B. Wallnau ISBN 10: 1305504917 ISBN 13: 9781305504912

APPENDIX C | Solutions for Odd-Numbered Problems in the Text 675
9. a. SS between
= 70 and SS total
= 96
b. The new data are as follows.
Treatments
Person I II III Person Totals
A 3 2 1 P = 6
B 5 5 5 P = 15 N =15
C 2 3 4 P = 9 G = 45
D 2 1 3 P = 6 ΣX 2 = 161
E 3 4 2 P = 9
M = 3 M = 3 M = 3
T = 15 T = 15 T = 15
SS = 6 SS = 10 SS = 10
c. SS total
= 26 for the new scores.
d. The SS is reduced by 70 points which is exactly
equal to the original SS between
.
11. The means and standard deviations for the four measurement
days are as follows:
7 days 5 days 3 days 1 day
M = 39 M = 40 M = 46 M = 55
s = 3.61 s = 4.73 s = 3.67 s = 3.32
Source SS df MS
Between Treatments 810 3 270 F(3, 12) = 28
Within Treatments 240 16
Between Subjects 208 4
Error 32 12 2.67
Total 1050 19
13.
With α = .01, the critical value is 5.95. There are significant
differences.
Source SS df MS
Between Treatments 26 2 13 F(2, 14) = 6.50
Within Treatments 70 21
Between Subjects 42 7
Error 28 14 2
Total 96 23
15 a. 4 treatments
b. 9 participants
17. a.
Source SS df MS
Between Treatments 56 2 28 F(2, 6) = 16.77
Within Treatments 22 9
Between Subjects 12 3
Error 10 6 1.67
Total 78 11
b.
η 2 = 56
66 = 0.848
Source SS df MS
Between Treatments 112 2 56 F(2, 14) = 39.16
Within Treatments 44 21
Between Subjects 24 7
Error 20 14 1.43
Total 156 23
η 2 = 112
132 = 0.848
c. Doubling the sample size greatly increased the
F-ratio but had little or no effect on η 2 .
19. a. The null hypothesis states that there are no
differences among the three treatments,
H 0
: μ 1
= μ 2
= μ 3
. With df = 2, 6, the critical
value is 5.14.
Source SS df MS
Between Treatments 8 2 4 F(2, 6) = 0.27
Within Treatments 94 9
Between Subjects 4 3
Error 90 6 15
Total 102 11