5. An analysis of variance is used to evaluate the mean differences for a resear
ID: 3360105 • Letter: 5
Question
5. An analysis of variance is used to evaluate the mean differences for a research study comparing three treatments with a separate sample of n = 6 in each treatment. If the data produce an F-ratio of F = 4.10, then which of the following is the correct statistical decision?
Reject the null hypothesis with = .05 but not with = .01.
Fail to reject the null hypothesis with either = .05 or = .01.
There is not enough information to make a statistical decision.
Reject the null hypothesis with either = .05 or = .01.
6.
Exhibit 14-1
The following data is from a repeated-measures study.
Treatments
Subject
I
II
III
P-totals
A
0
1
2
3
G = 18
B
1
1
4
6
X2 = 64
C
2
1
6
9
T = 3
T = 3
T = 12
SS = 2
SS = 0
SS = 8
Refer to Exhibit 14-1. The value of SSbetween subjects is ____.
54
6
None of the other 3 choices is correct.
24
7.The within treatment df for a repeated-measures ANOVA is 15. The between subject df is 5. What is the value for error df?
75
20
10
3
8. A repeated-measures research study comparing three treatments with a sample of n = 10 participants produced an F-ratio of F = 3.95. Based on this result, which of the following is the correct statistical decision.
Fail to reject the null hypothesis with either = .05 or = .01.
Reject the null hypothesis with either = .05 or = .01.
Reject the null hypothesis with = .05 but not with = .01.
cannot answer without additional information
9.In a repeated-measures ANOVA, a P value corresponds to
the total of all the scores for an individual treatment.
the product obtained by multiplying all the scores for each individual person.
each individual score in the research study.
the total of all the scores for an individual person.
10.Which of the following are sources of variability that contribute to SSbetween treatments in a repeated ANOVA?
individual differences and chance/error
treatment effect, individual differences, and chance/error
treatment effect and chance/error
treatment effect and individual differences
11.The formula for dfbetween subjects is
N - 1
n - 1
N - k
k - 1
12.Exhibit 14-1
The following data is from a repeated-measures study.
Treatments
Subject
I
II
III
P-totals
A
0
1
2
3
G = 18
B
1
1
4
6
X2 = 64
C
2
1
6
9
T = 3
T = 3
T = 12
SS = 2
SS = 0
SS = 8
Refer to Exhibit 14-1. If SS between subjects is equal to 6, then the SS for the error term would be ____.
4
16
6
12
13.For a repeated-measures ANOVA, which of the following is computed differently, compared to an independent-measures ANOVA?
the denominator of the F ratio
within treatment SS
between treatment SS
total SS
14.A two-factor experiment with two levels of factor A and four levels of factor B would consist of ____ separate treatment conditions and the dfbetween treatments (between cells) would be ____.
6, 5
4, 3
2, 1
8, 7
15.How many separate samples would be needed for a two-factor, independent-measures research study with 2 levels of factor A and 3 levels of factor B?
5
3
2
6
16.A two-factor research study compares two levels of factor A and three levels of factor B. If SSA = 30, then what is the value for MSA?
10
15
30
cannot be determined without additional information
Treatments
Subject
I
II
III
P-totals
A
0
1
2
3
G = 18
B
1
1
4
6
X2 = 64
C
2
1
6
9
T = 3
T = 3
T = 12
SS = 2
SS = 0
SS = 8
Explanation / Answer
5. Reject the null hypothesis with either = .05 or = .01. as both values for F6,6 are more than 4.1
6. 6
7. 10
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