What is the relationship among the separate F-ratios in a two-factor ANOVA?
They may have different df values, but they all have the same denominator.
They all have the same df values and they all have the same denominator.
They may have different df values and may have different denominators.
They all have the same df values, but they may have different denominators.
The results of a two-factor analysis of variance produce df = 1, 30 for the F-ratio for factor A,
and df = 2, 30 for the F-ratio for the AxB interaction. Based on this information, how many
levels of factor B were compared in the study?
1
2
3
Cannot be determined without additional information
In a two-factor analysis of variance, a main effect is defined as .
the mean differences among the levels of one factor
the mean differences among all treatment conditions
the mean difference between the two factors
Question 1
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Question 2
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Question 3
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the difference between the largest treatment mean and the smallest treatment mean
For a research study with 2 levels of factor A, 3 levels of factor B, and n = 5 in each treatment
condition, what are the df values for the F-ratio evaluating the main effect for factor A?
1, 4
1, 24
1, 29
2, 29
The results of a two-factor analysis of variance produce df = 2, 36 for the F-ratio for factor A
and df = 2, 36 for the F-ratio for factor B. How many participants are in each of the treatment
conditions?
4
5
6
10
A two-factor study with two levels of factor A and three levels of factor B uses a separate group
of n = 5 participants in each treatment condition. How many participants are needed for the
entire study?
5
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Question 5
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Question 6
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10
25
30
For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5
in each treatment condition, what is the value for dfwithin?
20
24
29
30
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, what can you conclude about
the interaction?
There must be a significant interaction
There probably is a significant interaction
The interaction cannot be significant
You cannot make any conclusion about the significance of the interaction
Question 7
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Question 8
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Question 9
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In a two-factor experiment with 2 levels of factor A and 2 levels of factor B, three of the
treatment means are essentially identical and one is substantially different from the others. What
result(s) would be produced by this pattern of treatment means?
A main effect for factor A
A main effect for factor B
An interaction between A and B
The pattern would produce main effects for both A and B, and an interaction.
If the mean and variance are computed for each sample in an independent-measures, two-factor
experiment, which of the following types of sample data will tend to produce large F-ratios for
the two-factor ANOVA?
Large differences between sample means and small sample variances
Large differences between sample means and large sample variances
Small differences between sample means and small sample variances
Small differences between sample means and large sample variances
A two-factor study compares three different treatment conditions (factor 1) for males and females
(factor 2). In this study, the main effect for gender is determined by the overall mean score for
the males (averaged over the three treatments) and the corresponding overall mean score for the
females.
True
False
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Question 10
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Obtaining a significant interaction means that both factors A and B have significant main effects.
True
False
Whenever a two-factor experiment results in a significant interaction, you should be cautious
about interpreting the main effects because an interaction can distort, conceal, or exaggerate the
main effects of the individual factors.
True
False
If a two-factor study has 2 levels of factor A and 3 levels of factor B, then df
between
treatments
= 5.
True
False
Question 15
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Question 14
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A two-factor analysis of variance produces an F-ratio for factor A that has df = 3, 36. This
analysis is comparing three different levels of factor A.
True
False
For an independent-measures two-factor analysis of variance, all F-ratios use the same
denominator.
True
False
Quiz Score: 40 out of 40
Question 16
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