1. Which of the following is used to calculate the degrees of freedom for the Ax
ID: 3360096 • Letter: 1
Question
1. 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
2.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
3.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
4.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.
5.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
6.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
7.In analysis of variance, an independent variable is called a level.
True
False
8.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
9.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
10.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
11.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
Explanation / Answer
Q 1) dfbet. treatments - dfA - dfB
Q2 ) 2, 30
Q3) 2
Q 4) you cannot make any conclusion about the significance of the interaction
Q 5) 30, 20
Q 6 ) The sum does not correspond to any meaningful part of the analysis
Q 7 False
Q 8) True
Q 9) True
Q 10) True
Q 11) False
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