Question 1

A researcher reports an F?ratio with df = 2, 40 from a repeated?measures ANOVA.How many subjects participated in this experiment?
A)44
B)41
C)63
D)21

Accepted Answer

In a repeated-measures ANOVA, the degrees of freedom (df) for the within-subjects factor is calculated based on the number of subjects and the number of levels (conditions) of the repeated measure. The formula for the within-subjects df is df = (n - 1) * k, where n is the number of subjects and k is the number of conditions. Given df = 40 for the within-subjects factor, and knowing there are 2 levels (k = 2), we can rearrange the formula to solve for n: 40 = (n - 1) * 2. Solving for n gives n = 21. Therefore, 21 subjects participated in the experiment.

Question 2

A researcher obtains an F-ratio with df = 3, 12 from an ANOVA for a repeated-measures research study.How many subjects participated in the research study.
A)4
B)5
C)6
D)13

Accepted Answer

B

Question 3

A repeated-measures research study uses n = 8 subjects.If the within-treatment df for the ANOVA is 21, what is the value for the error df?
A)7
B)13
C)14
D)18

Accepted Answer

The error degrees of freedom (df) in a repeated-measures ANOVA can be calculated using the formula: error df = within-treatment df - (n - 1), where n is the number of subjects. Given n = 8 and within-treatment df = 21, error df = 21 - (8 - 1) = 21 - 7 = 14.

Question 4

For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, what are the degrees of freedom for the repeated-measures F-ratio?
A)2, 6
B)2, 9
C)2, 11
D)3, 11

Accepted Answer

The degrees of freedom for the numerator (between treatments) is k - 1, where k is the number of treatment conditions. Here, k = 3, so df1 = 3 - 1 = 2. The degrees of freedom for the denominator (within treatments) is N - k, where N is the total number of observations. With n = 4 participants and 3 measurements each, N = 4 * 3 = 12, so df2 = 12 - 3 = 9. However, because it's a repeated-measures design, the correct calculation for the denominator should consider the number of subjects, not observations, leading to a mistake in my explanation of df2 calculation. The correct df2 for repeated measures with n participants and k conditions is df2 = (n - 1)(k - 1), which for n = 4 and k = 3 gives df2 = (4 - 1)(3 - 1) = 3*2 = 6.

Question 5

A repeated-measures analysis of variance produces SS_{within treatments} = 24 and SS_{between treatments} = 40.For this analysis, what is the value of SS_error? A)16 B)24 C)64 D)cannot be determined from the information provided

Accepted Answer

The answer of A repeated-measures analysis of variance produces SS<sub>within...

Question 6

A researcher reports an F?ratio with df = 2, 40 from a repeated?measures ANOVA.How many treatment conditions were compared in this experiment?
A)2
B)3
C)4
D)41

Accepted Answer

The F-ratio from a repeated-measures ANOVA with df = 2, 40 indicates that there were three treatment conditions compared in the experiment. The numerator degrees of freedom (df = 2) represent the number of treatment conditions being compared, while the denominator degrees of freedom (df = 40) represent the total number of subjects in the study. Therefore, the correct answer is option B, which indicates that there were three treatment conditions compared in this experiment.

Question 7

In an independent-measures ANOVA, individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.For a repeated-measures ANOVA, what happens to the individual differences in the denominator of the F-ratio.
A)They do not exist because the same individuals participate in all of the treatments.
B)They are measured and subtracted out in the second stage of the analysis.
C)Individual differences contribute to the variance in the denominator.
D)None of the other options accurately describes individual differences in the denominator.

Accepted Answer

In a repeated-measures ANOVA, individual differences are measured and subtracted out in the second stage of the analysis, reducing their impact on the denominator of the F-ratio.

Question 8

A repeated-measures study uses a sample of n = 10 participants to evaluate the mean differences among four treatment conditions.In the analysis of variance for this study, what is the value for df_{between subjects}? A)9 B)27 C)36 D)39

Accepted Answer

The degrees of freedom between subjects (df between subjects) in a repeated-measures study is calculated as the number of participants minus one. With n = 10 participants, df = 10 - 1 = 9.

Question 9

A repeated-measures ANOVA with n = 5 subjects has df within-treatment equal to 12.What is the value for df_error for this analysis? A)8 B)16 C)48 D)insufficient information to find error SS

Accepted Answer

The degrees of freedom for error (df_error) in a repeated-measures ANOVA is calculated as df within-treatment minus df between-subjects. With 5 subjects, df between-subjects is 4 (n-1). Therefore, df_error = 12 - 4 = 8.

Question 10

The repeated-measures ANOVA is a two-stage process.Which of the following accurately describes what happens during this process.
A)the first stage removes individual differences from the numerator of the F-ratio and the second stage removes individual differences from the denominator.
B)the first stage removes individual differences from the numerator.
C)the second stage removes individual differences from the denominator.
D)none of the above.

Accepted Answer

The answer of The repeated-measures ANOVA is a two-stage process.Which...

Question 11

The results from a repeated-measures ANOVA are reported as, F(3, 24) = 3.75, p < .05.For this study, how many treatment conditions were compared?
A)2
B)3
C)4
D)28

Accepted Answer

The first number in the F-ratio notation (3 in F(3,24)) represents the degrees of freedom between groups, which is equal to the number of treatment conditions minus 1. Therefore, if the degrees of freedom are 3, then there were 4 treatment conditions compared (3 + 1 = 4).

Question 12

In an independent-measures ANOVA, individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.For a repeated-measures ANOVA, what happens to the individual differences in the numerator of the F-ratio.
A)They do not exist because the same individuals participate in all of the treatments.
B)They are measured and subtracted out in the second stage of the analysis.
C)Individual differences contribute to the variance in the numerator.
D)None of the other options accurately describes individual differences in the numerator.

Accepted Answer

In a repeated-measures ANOVA, the same individuals participate in all treatments, so individual differences do not contribute to the variance in the numerator of the F-ratio.

Question 13

What is the correct denominator for the repeated-measures F-ratio? A)MS_error B)MS_within C)MS_{between subjects} D)MS_{between treatments}

Accepted Answer

The answer of What is the correct denominator for the...

Question 14

A repeated-measures analysis of variance produces SS_total = 40 and SS_{within treatments} = 10.For this analysis, what is SS_{between treatments}? A)30 B)50 C)400 D)cannot be determined without additional information

Accepted Answer

SS_{between treatments} is calculated by subtracting SS_{within treatments} from SS_total. Therefore, SS_{between treatments} = 40 - 10 = 30.

Question 15

A repeated-measures ANOVA produces SS_{between treatments} = 30 and MS_{between treatments} = 10.In this analysis, how many treatment conditions are being compared? A)3 B)4 C)5 D)20

Accepted Answer

The answer of A repeated-measures ANOVA produces SS_{between treatments}...

Question 16

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?
A)The mean differences add to the numerator of the F-ratio
B)The mean differences add to the denominator of the F-ratio
C)The mean differences add to both the numerator and the denominator of the F-ratio
D)The sample mean differences do not influence the F-ratio.

Accepted Answer

In a repeated-measures ANOVA, the F-ratio is calculated as the ratio of between-group variability to within-group variability. The numerator of the F-ratio reflects the between-group variability, which is influenced by the magnitude of the mean differences between treatments. Specifically, larger mean differences will result in a larger numerator and a larger F-ratio. The denominator reflects the within-group variability, which is influenced by the variability within each treatment group and the sample size.

Question 17

A repeated-measures ANOVA has SS_{within treatments}= 26 and SS_{between subjects} = 12.For this analysis, what is the value for SS_error? A)12 B)14 C)26 D)38

Accepted Answer

The value for SSS_within treatments (26) minus SSS_between subjects (12) gives the SSS_error, which is 14.

Question 18

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.What is the value for SS_b_{etween subjects}? A)2 B)3 C)6 D)10

Accepted Answer

SS_between subjects is calculated by summing the squared deviations of each participant's total from the grand mean, then multiplying by the number of treatments. Here, the grand mean is 6, and the deviations are -3, 0, 3, 0. Squaring these gives 9, 0, 9, 0, summing to 18. Dividing by the number of treatments (3) gives 6.

Question 19

A repeated-measures study uses a sample of n = 15 participants to evaluate the mean differences among four treatment conditions.In the analysis of variance for this study, what is the value for df_{between treatments}? A)3 B)4 C)5 D)59

Accepted Answer

The degrees of freedom between treatments (df between) in a repeated-measures ANOVA is calculated as the number of treatment conditions minus one. With four treatment conditions, df between = 4 - 1 = 3.

Question 20

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?
A)3, 9
B)2, 9
C)3, 18
D)2, 18

Accepted Answer

The answer of A researcher uses a repeated-measures ANOVA to...

Quiz 13: Repeated-Measures Anova

A researcher reports an F?ratio with df = 2, 40 from a repeated?measures ANOVA.How many subjects participated in this experiment?

A researcher obtains an F-ratio with df = 3, 12 from an ANOVA for a repeated-measures research study.How many subjects participated in the research study.

A repeated-measures research study uses n = 8 subjects.If the within-treatment df for the ANOVA is 21, what is the value for the error df?

For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, what are the degrees of freedom for the repeated-measures F-ratio?

A repeated-measures analysis of variance produces SSwithin treatments = 24 and SSbetween treatments = 40.For this analysis, what is the value of SSerror?

A researcher reports an F?ratio with df = 2, 40 from a repeated?measures ANOVA.How many treatment conditions were compared in this experiment?

In an independent-measures ANOVA, individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.For a repeated-measures ANOVA, what happens to the individual differences in the denominator of the F-ratio.

A repeated-measures study uses a sample of n = 10 participants to evaluate the mean differences among four treatment conditions.In the analysis of variance for this study, what is the value for dfbetween subjects?

A repeated-measures ANOVA with n = 5 subjects has df within-treatment equal to 12.What is the value for dferror for this analysis?

The repeated-measures ANOVA is a two-stage process.Which of the following accurately describes what happens during this process.

The results from a repeated-measures ANOVA are reported as, F(3, 24) = 3.75, p < .05.For this study, how many treatment conditions were compared?

In an independent-measures ANOVA, individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.For a repeated-measures ANOVA, what happens to the individual differences in the numerator of the F-ratio.

What is the correct denominator for the repeated-measures F-ratio?

A repeated-measures analysis of variance produces SStotal = 40 and SSwithin treatments = 10.For this analysis, what is SSbetween treatments?

A repeated-measures ANOVA produces SSbetween treatments = 30 and MSbetween treatments = 10.In this analysis, how many treatment conditions are being compared?

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?

A repeated-measures ANOVA has SSwithin treatments = 26 and SSbetween subjects = 12.For this analysis, what is the value for SSerror?

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.What is the value for SSbetween subjects?

A repeated-measures study uses a sample of n = 15 participants to evaluate the mean differences among four treatment conditions.In the analysis of variance for this study, what is the value for dfbetween treatments?

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?

A repeated-measures analysis of variance produces SS_{within treatments} = 24 and SS_{between treatments} = 40.For this analysis, what is the value of SS_error?

A repeated-measures study uses a sample of n = 10 participants to evaluate the mean differences among four treatment conditions.In the analysis of variance for this study, what is the value for df_{between subjects}?

A repeated-measures ANOVA with n = 5 subjects has df within-treatment equal to 12.What is the value for df_error for this analysis?

A repeated-measures analysis of variance produces SS_total = 40 and SS_{within treatments} = 10.For this analysis, what is SS_{between treatments}?

A repeated-measures ANOVA produces SS_{between treatments} = 30 and MS_{between treatments} = 10.In this analysis, how many treatment conditions are being compared?

A repeated-measures ANOVA has SS_{within treatments}= 26 and SS_{between subjects} = 12.For this analysis, what is the value for SS_error?

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.What is the value for SS_b_{etween subjects}?

A repeated-measures study uses a sample of n = 15 participants to evaluate the mean differences among four treatment conditions.In the analysis of variance for this study, what is the value for df_{between treatments}?