Question 1

The following table shows the results of a repeated-measures analysis of variance comparing three treatment conditions with a sample of n = 10 participants.Note that several values are missing in the table.What is the missing value for the F-ratio?

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The answer of The following table shows the results of...

Question 2

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

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The answer of For the following data, what are the...

Question 3

The results of a repeated-measures ANOVA are reported as follows, F(2, 24) = 1.12, p > .05.How many individuals participated in the study?

Accepted Answer

In a repeated-measures ANOVA, the degrees of freedom for the within-subjects factor is calculated as df = N - 1, where N is the number of subjects. The given degrees of freedom for the within-subjects factor is 24, which means N - 1 = 24, so N = 25. However, because it's a repeated-measures design, the total number of individuals is the same as the number of subjects, which is 25. The confusion might arise from interpreting the degrees of freedom, but the key is recognizing that the total number of participants is directly related to the degrees of freedom for the within-subjects factor in a repeated-measures ANOVA.

Question 4

For the following data, what is SS_total?

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The answer of For the following data, what is SS_total?...

Question 5

For the following data, SS_{between subjects} is equal to 6.What is the SS value for the error term?

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The answer of For the following data, SS_{between subjects} is...

Question 6

For the following data, what is SS_{between treatments}?

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The answer of For the following data, what is SS<sub>between...

Question 7

The results of a repeated-measures ANOVA are reported as follows, F(3, 27) = 1.12, p > .05.How many treatments were compared?

Accepted Answer

In a repeated-measures ANOVA, the notation F(df_between, df_within) is used. The first number after F (in this case, 3) represents the degrees of freedom between groups, which is calculated as the number of treatments minus 1. Therefore, if df_between is 3, there were 4 treatments compared (3 + 1 = 4).

Question 8

The following table shows the results of a repeated-measures analysis of variance comparing two treatment conditions with a sample of n = 12 participants.Note that several values are missing in the table.What is the missing value for SS_total?

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The answer of The following table shows the results of...

Question 9

For the following data, what is SS_{between subjects}?

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The answer of For the following data, what is SS<sub>between...

Question 10

In a repeated-measures ANOVA the variability within treatments is divided into two components.What are they?

Accepted Answer

In a repeated-measures ANOVA, the variability within treatments is divided into between subjects and error. This accounts for individual differences and the residual error.

Question 11

For a repeated-measures ANOVA, which of the following is computed differently, compared to an independent-measures ANOVA?

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The answer of For a repeated-measures ANOVA, which of the...

Question 12

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 value would be obtained for the t statistic?

Accepted Answer

The relationship between the F-ratio and the t statistic in a repeated-measures design is F = t^2. Given F = 4.00, the t statistic would be the square root of 4, which is 2.

Question 13

When using the Scheffé post hoc test for a repeated-measures ANOVA, the denominator for the F ratio should be _____.

Accepted Answer

The Scheffé post hoc test for a repeated-measures ANOVA uses the mean square error (MSerror) as the denominator for the F ratio. This is because the MSerror reflects the variability within the groups, which is what you want to control for when comparing group means in a post hoc analysis following ANOVA.

Question 14

A researcher is using a repeated-measures design to test for mean differences among four treatment conditions.If the data for this study consist of 10 scores in each treatment, then how many subjects participated in the study?

Accepted Answer

In a repeated-measures design, the same subjects are used in all treatment conditions. Since there are 10 scores in each of the four treatments, it means there are 10 subjects, each providing one score per treatment.

Question 15

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?

Accepted Answer

In a repeated-measures design, the degrees of freedom for the t-test is the same as the degrees of freedom for the error term in the ANOVA, which is 14 in this case.

Question 16

For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (the P values) are 3, 6, 9, and 6, and the SS values within each treatment are SS₁ = 2, SS₂ = 2 and SS₃= 6.What is the value for SS_error?

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The answer of For a repeated-measures study comparing three treatment...

Question 17

A repeated-measures analysis of variance for a study comparing three treatment conditions with a sample of n = 10 participants, produces an F-ratio of F = 5.40.For this result, which of the following is the correct statistical decision?

Accepted Answer

The F-ratio of 5.40 is significant at the .05 level but not at the .01 level.

Question 18

In the first stage of a repeated-measures ANOVA, total degrees of freedom is partitioned into

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The answer of In the first stage of a repeated-measures...

Question 19

The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for $\eta$², the percentage of variance accounted for by the treatments?

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The answer of The following table shows the results of...

Question 20

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 = _____.

Accepted Answer

For a repeated-measures ANOVA with three treatment conditions and a sample of n = 10 participants, the degrees of freedom for the total (df_total) is calculated as the total number of observations minus 1. Since each of the 10 participants is measured in each of the 3 conditions, there are a total of 30 observations. Therefore, df_total = 30 - 1 = 29.

Quiz 13: Repeated-Measures Anova

The following table shows the results of a repeated-measures analysis of variance comparing three treatment conditions with a sample of n = 10 participants.Note that several values are missing in the table.What is the missing value for the F-ratio?

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

The results of a repeated-measures ANOVA are reported as follows, F(2, 24) = 1.12, p > .05.How many individuals participated in the study?

For the following data, what is SStotal?

For the following data, SSbetween subjects is equal to 6.What is the SS value for the error term?

For the following data, what is SSbetween treatments?

The results of a repeated-measures ANOVA are reported as follows, F(3, 27) = 1.12, p > .05.How many treatments were compared?

The following table shows the results of a repeated-measures analysis of variance comparing two treatment conditions with a sample of n = 12 participants.Note that several values are missing in the table.What is the missing value for SStotal?

For the following data, what is SSbetween subjects?

In a repeated-measures ANOVA the variability within treatments is divided into two components.What are they?

For a repeated-measures ANOVA, which of the following is computed differently, compared to an independent-measures ANOVA?

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 value would be obtained for the t statistic?

When using the Scheffé post hoc test for a repeated-measures ANOVA, the denominator for the F ratio should be _____.

A researcher is using a repeated-measures design to test for mean differences among four treatment conditions.If the data for this study consist of 10 scores in each treatment, then how many subjects participated in the study?

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?

For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (the P values) are 3, 6, 9, and 6, and the SS values within each treatment are SS1 = 2, SS2 = 2 and SS3 = 6.What is the value for SSerror?

A repeated-measures analysis of variance for a study comparing three treatment conditions with a sample of n = 10 participants, produces an F-ratio of F = 5.40.For this result, which of the following is the correct statistical decision?

In the first stage of a repeated-measures ANOVA, total degrees of freedom is partitioned into

The following table shows the results of a repeated-measures ANOVA.Based on this table, what is the value for η\etaη 2, the percentage of variance accounted for by the treatments?

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 dftotal = _____.

For the following data, what is SS_total?

For the following data, SS_{between subjects} is equal to 6.What is the SS value for the error term?

For the following data, what is SS_{between treatments}?

The following table shows the results of a repeated-measures analysis of variance comparing two treatment conditions with a sample of n = 12 participants.Note that several values are missing in the table.What is the missing value for SS_total?

For the following data, what is SS_{between subjects}?

For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (the P values) are 3, 6, 9, and 6, and the SS values within each treatment are SS₁ = 2, SS₂ = 2 and SS₃= 6.What is the value for SS_error?

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 = _____.