Exam 14: Two-Factor Analysis of Variance

A two-factor, independent-measures research study with 2 levels of factor A and 3 levels of factor B with n = 10 participants in each treatment condition would require a total of 60 participants.

A new laundry detergent is supposed to be equally superior to the leading brand in both hot and cold water.If the new detergent works as predicted, then there should be an interaction between the brand of detergent and the temperature of the water.

If the A x B interaction is significant, then at least one of the two main effects also must be significant.

For a two-factor study with 2 levels of factor A, 2 levels of factor B, and a separate sample of n = 10 participants in each treatment condition, the two means for level A1 are 4 and 1, and the two means for level A2 are 3 and 2.For these data, what is the value of SS_{between treatments}?

A two-factor study compares 2 levels of factor A and 2 levels of factor B with a sample of n = 20 participants in each treatment condition.If the results are evaluated with a two-factor ANOVA, all the F-ratios will have df = 1, 76.

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.

For an independent-measures two-factor analysis of variance, all of the F-ratios use the same denominator.

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?

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?

If the results of a two-factor experiment are presented in a line graph, then what pattern appears in the graph if there is an interaction?

In a two-factor ANOVA for an independent-measures study, all of the F-ratios use the same denominator.

How many separate samples would be needed for a two-factor, independent-measures research study with 3 levels of factor A and 3 levels of factor B?

In analysis of variance, each independent variable is referred to as a _____.

For an experiment involving 3 levels of factor A and 3 levels of factor B, with a sample of n = 8 in each treatment condition, what are the df values for the F?ratio for the AxB interaction?

What is the relationship among the separate F-rations in a two-factor ANOVA?

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?

The following data represent the means for each treatment condition in a two factor experiment.Note that one mean is not given.What value for the missing mean would result in no AxB interaction?

For an independent-measures two-factor experiment, the bigger the differences between the sample means, the more likely it is that at least one of the F-ratios will be significant.

If the F-ratios for factor A has df = 1, 36 and the F-ratio for the interaction has df = 2, 36, then the F-ratio for factor B will also have df = 2, 36.

A two-factor research study is used to evaluate the effectiveness of a new blood-pressure medication.In this two-factor study, Factor A is medication versus no medication and factor B is male versus female.The medicine is expected to reduce blood pressure for both males and females, but it is expected to have a much greater effect for males.What pattern of results should be obtained if the medication works as predicted?