Exam 13: Repeated-Measures and Two-Factor Anova

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

For the repeated-measures analysis,the F-ratio,on average,is expected to be zero when H₀ is true.

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.

A repeated-measures study uses a sample of n = 10 participants to evaluate the mean differences among three treatment conditions.For this study,df_{between subjects} = 18.

For the following data,what are the df values for the repeated-measures F-ratio?

A researcher uses a repeated-measures ANOVA to test for mean differences among three treatment conditions using a sample of n = 10 participants.What are the df values for the F-ratio from this analysis?

For a repeated-measures study,if there are no systematic treatment effects (H₀ is true),then the numerator and denominator of the F-ratio are both measuring the same sources of variance.

The F-ratio for a repeated-measures ANOVA has df = 1,15.The research study used a total of n = 16 participants.

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?

If a two-factor study has 2 levels of factor A and 3 levels of factor B,then df_{bet.treatments} = 5.

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?

For a repeated-measures study,df_{between treatments}= 3 and df_total = 27.This means that there were n = 7 participants in the study.

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 repeated-measures ANOVA produced an F-ration of F = 4.00 with df = 1,14.If the same data were analyzed with a repeated-measures t test,what would be the df value for the t statistic?

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 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.

A repeated-measures experiment compares three treatment conditions with a sample of n = 10 participants.If the data are analyzed with ANOVA,the analysis would have df_total = _____.

In a repeated-measures analysis of variance,how does the magnitude of the mean differences from one treatment to another contribute to the F-ratio?

Because the repeated-measures ANOVA removes variance caused by individual differences,it usually is more likely to detect a treatment effect than the independent-measures ANOVA is.

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?