In an analysis of variance, which of the following is directly influenced by the
ID: 3360064 • Letter: I
Question
In an analysis of variance, which of the following is directly influenced by the size of the sample mean differences?
SStotal
SSbetween treatments
All three SS values are influenced.
SSwithin treatments
2.Under what circumstances are post tests necessary?
fail to reject the null hypothesis with k = 2 treatments
reject the null hypothesis with k > 2 treatments
reject the null hypothesis with k = 2 treatments
fail to reject the null hypothesis with k > 2 treatments
3.In an independent-measures experiment with three treatment conditions, all three treatments have the same mean, M1 = M2 = M3. For these data SSbetween treatments equals ____.
0
3(5.50)
1.00
cannot be determined from the information given
4.In the notation for ANOVA, the letter n refers to ____ and the letter N refers to ____.
the number of scores in the entire study, the number of scores in each treatment
the number of scores in each treatment, the number of scores in the entire study
the sum of the scores for the entire study, the sum of the scores in each treatment
the sum of the scores in each treatment, the sum of the scores for the entire study
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
UnansweredQuestion 58
0 / 2 pts
A two-factor research study has two levels of factor A and two levels of factor B with n = 10 participants in each treatment condition. For this study, what is the value for dfbetween treatments?
9
3
4
36
UnansweredQuestion 59
0 / 2 pts
Which of the following is used to calculate the degrees of freedom for the AxB interaction?
dfwithin - (dfA + dfB)
dfA - dfB
dfbet. treatments - dfA - dfB
dfbet. treatments - dfwithin
UnansweredQuestion 60
0 / 2 pts
For an experiment involving 2 levels of factor A and 3 levels of factor B, with a sample of n = 6 in each treatment condition, what are the df values for the F-ratio for the interaction?
6, 30
5, 30
2, 30
3, 30
UnansweredQuestion 61
0 / 2 pts
The results of a two-factor analysis of variance produce df = 2, 28 for the F-ratio for factor A, and df = 2, 28 for the F-ratio for the AxB interaction. Based on this information, how many levels of factor B were compared in the study?
3
1
cannot be determined without additional information
2
UnansweredQuestion 62
0 / 2 pts
In a two-factor analysis of variance a main effect is defined as ____.
the mean difference between the two factors
the difference between the largest treatment mean and the smallest treatment mean
the mean differences among the levels of one factor
the mean differences among all treatment conditions
UnansweredQuestion 63
0 / 2 pts
The analysis of variance for a two-factor experiment produces ____.
four separate F-ratios
three separate F-ratios
two separate F-ratios
one overall F-ratio followed by a series of required post hoc tests
UnansweredQuestion 64
0 / 2 pts
A two-factor, independent-measures research study is evaluated using an analysis of variance. The F-ratio for factor A has df = 2, 36 and the F-ratio for factor B has df = 3, 36. Based on this information, what are the df values for the AxB interaction?
df = 6, 72
df = 5, 36
df = 5, 72
df = 6, 36
UnansweredQuestion 65
0 / 2 pts
If a two-factor analysis of variance produces a statistically significant interaction, then you can conclude that ____.
the significance of the main effects is not related to the significance of the interaction
either the main effect for factor A or the main effect for factor B is also significant
both the man effect for factor A and the main effect for factor B are significant
neither the main effect for factor A nor the main effect for factor B is significant
UnansweredQuestion 66
0 / 2 pts
For an experiment involving 2 levels of factor A and 3 levels of factor B, with a sample of n = 10 in each treatment condition, what are the df values for the F-ratio for factor A?
1, 54
2, 9
2, 54
1, 9
UnansweredQuestion 67
0 / 2 pts
A two-factor experiment means that the experimental design includes ____.
two independent variables
an interaction between the independent and the dependent variable
exactly two separate groups of subjects
two dependent variables
UnansweredQuestion 68
0 / 2 pts
The results from a two-factor analysis of variance show a significant main effect for factor A and a significant main effect for factor B. Based on this information, you can conclude that
there must by a significant interaction.
you cannot make any conclusion about the significance of the interaction.
there probably is a significant interaction
the interaction cannot be significant.
UnansweredQuestion 69
0 / 2 pts
For a two-factor experiment with 2 levels of factor A and 3 levels of factor B and n = 10 subjects in each treatment condition, there is a total of ____ subjects in each level of factor A and a total of ____ subjects in each level of factor B.
30, 20
10, 10
60, 60
20, 30
UnansweredQuestion 70
0 / 2 pts
The data from a two-factor study are organized in a matrix with one factor defining the rows and one factor defining the columns. The mean (M) and the SS is computed for each cell in the matrix. What value is obtained by summing the means (M values) from all the cells?
SSbetween treatments
SSwithin treatments
The sum does not correspond to any meaningful part of the analysis.
SSAxB
UnansweredQuestion 71
0 / 2 pts
In analysis of variance, an independent variable is called a level.
True
False
UnansweredQuestion 72
0 / 2 pts
If a two-factor analysis of variance produces a significant interaction, you should be cautious about interpreting the main effects whether or not they are significant.
True
False
UnansweredQuestion 73
0 / 2 pts
The variance within treatments, MSwithin, is used as the denominator for all three F-ratios in an independent-measures two-factor analysis of variance.
True
False
UnansweredQuestion 74
0 / 2 pts
The results from a two-factor analysis of variance show that the F-ratio for factor A has df = 1, 30 and the F-ratio for factor B has df = 2, 30. Based on this information, the research study included a total of 6 different treatment conditions.
True
False
UnansweredQuestion 75
0 / 2 pts
For an independent-measures two-factor experiment, the smaller the values for the sample variances, the more likely it is that at least one of the F-ratios will be significant.
True
False
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
SSbetween treatments is directly influenced by the size of the sample mean differences.
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