Part A: Evelyn Dell wanted to see whether small computer laptop monitors could b
ID: 3327228 • Letter: P
Question
Part A: Evelyn Dell wanted to see whether small computer laptop monitors could become too small. So she asked 4 participants to use a computer with each computer monitor for one week at their house (sizes 10 inches, 12 inches, 14 inches, 16 inches), and after each week Evelyn had participants rate the monitor they were using. So the study took 4 weeks to go through all 4 monitor types. The ratings ranged from 0 (very bad size) to 7 (excellent size), and the scores are normally distributed. Using the data below, conduct a repeated-measures ANOVA, and pick the correct F-observed and F-critical values.
person
34 inches
44 inches
54 inches
64 inches
Person Totals
A
3
4
7
6
P = 20
B
0
3
6
3
P = 12
C
2
1
5
4
P = 12
D
0
1
4
3
P = 8
E
0
1
3
4
P = 8
T = 5
SS = 8
T = 10
SS = 8
T = 25
SS = 10
T = 20
SS = 6
G = 60
X2 = 262
A)
F = 4.99; Fcritical = 3.24
B)
F = 4.99; Fcritical = 3.49
C)
F = 14.99; Fcritical = 3.24
D)
F = 14.99; Fcritical = 3.49
E)
F = 24.99; Fcritical = 3.24
F)
F = 24.99; Fcritical = 3.49
Part B: Determine the MSchance error.
A) MSchance error = 1.140
B) MSchance error = 2.140
C) MSchance error = 3.140
D) MSchance error = 4.140
person
34 inches
44 inches
54 inches
64 inches
Person Totals
A
3
4
7
6
P = 20
B
0
3
6
3
P = 12
C
2
1
5
4
P = 12
D
0
1
4
3
P = 8
E
0
1
3
4
P = 8
T = 5
SS = 8
T = 10
SS = 8
T = 25
SS = 10
T = 20
SS = 6
Explanation / Answer
a)
for columns
F = 24.99
F-critical value = 3.49
b)
MS error = 0.666
closest is a) 1.140
Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance A 4 20 5 3.333333 B 4 12 3 6 C 4 12 3 3.333333 D 4 8 2 3.333333 E 4 8 2 3.333333 34 inches 5 5 1 2 44 inches 5 10 2 2 54 inches 5 25 5 2.5 64 inches 5 20 4 1.5 ANOVA Source of Variation SS df MS F P-value F crit Rows 24 4 6 9 0.001343 3.259167 Columns 50 3 16.66667 25 1.9E-05 3.490295 Error 8 12 0.666667 Total 82 19