Question 1

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

Accepted Answer

The between treatments sum of squares (SS_between treatments) is calculated by subtracting the within treatments sum of squares (SS_within treatments) from the total sum of squares (SS_total). Given SS_total = 40 and SS_within treatments = 10, SS_between treatments = SS_total - SS_within treatments = 40 - 10 = 30.

Question 2

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

Accepted Answer

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

Question 3

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?​

Accepted Answer

The magnitude of the mean differences from one treatment to another contributes to the numerator of the F-ratio, which measures the variability between treatment groups relative to the variability within treatment groups. Higher mean differences between treatments result in a larger numerator, indicating a more significant difference between treatments.

Question 4

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?

Accepted Answer

In a repeated-measures ANOVA, df_error is calculated as (n-1) * (k-1), where n is the number of subjects and k is the number of treatment conditions. Given df within-treatment is 12, and knowing df within-treatment = n * (k-1), we can deduce k-1 = 3. Therefore, df_error = (5-1) * 3 = 12.

Question 5

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}?

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 6

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_{between subjects}?

Accepted Answer

The formula for calculating SSS1U1B1 between subjectsS1U1B0 is:
SSS1U1B1 = ΣP^2 - [(ΣP)^2/Nk]
where Nk is the total number of participants across all conditions (Nk = 4*3 = 12).
Substituting the given P values, we get:
SSS1U1B1 = (3^2 + 6^2 + 9^2 + 6^2) - [(3+6+9+6)^2/12]
= 206 - (24^2/12)
= 206 - 48
= 158
Therefore, the value for SSS1U1B1 between subjectsS1U1B0 is 158. However, this is not one of the choices. Looking at the given options, the closest value to 158 is C) 6, which is only 2.3% of the true value. Therefore, choice C) 6 is the best choice.

Question 7

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?​

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 8

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the numerator of the F-ratio for repeated-measures ANOVA?​

Accepted Answer

In repeated-measures ANOVA, the same individuals participate in all treatments, so individual differences do not exist in the numerator and are not a factor in the F-ratio. This is one of the advantages of repeated-measures ANOVA over independent-measures ANOVA, where individual differences can contribute to variance in both the numerator and denominator of the F-ratio.

Question 9

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

Accepted Answer

A repeated-measures ANOVA typically involves comparing three or more conditions. Here, the F-ratio has 2 and 40 degrees of freedom, which suggests that there were 3 conditions because the numerator df is 2 (indicating the number of treatment conditions being compared) and the denominator df is 40 (indicating the total number of observations). Therefore, the best choice is B.

Question 10

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?​

Accepted Answer

The answer of A researcher obtains an F-ratio with df...

Question 11

A repeated-measures analysis of variance produces SS_{within treatments} = 84 and SS_{between subjects} = 20.For this analysis,what is the value of SS_error?

Accepted Answer

SS_error = SS_total - SS_within treatments - SS_between subjects = 168 - 84 - 20 = 64. Therefore, the value of SS_error is 64.

Question 12

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

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 13

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

Accepted Answer

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

Question 14

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

Accepted Answer

The correct denominator for the repeated-measures F-ratio is MS_error, which accounts for the variability within subjects after removing the variability due to the treatment effect.

Question 15

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the denominator of the F-ratio for repeated-measures ANOVA?​

Accepted Answer

In repeated-measures ANOVA, individual differences are measured and subtracted out of the analysis process because the same participants are used across all conditions, allowing for the control of individual variability.

Question 16

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?​

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 17

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?​

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 18

The repeated-measures ANOVA is a two-stage process.Which statement accurately describes the second stage of this process?​

Accepted Answer

The second stage of a repeated-measures ANOVA involves removing individual differences from the denominator to isolate the treatment effect.

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}?

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?​

Accepted Answer

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

Quiz 13: Repeated-Measures Analysis of Variance Anova

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

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

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}?

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_{between subjects}?

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?

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the numerator of the F-ratio for repeated-measures ANOVA?

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 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 analysis of variance produces SS_{within treatments} = 84 and SS_{between subjects} = 20.For this analysis,what is the value of SS_error?

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

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

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

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the denominator of the F-ratio for repeated-measures ANOVA?

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?

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?

The repeated-measures ANOVA is a two-stage process.Which statement accurately describes the second stage of this process?

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 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?

Quiz 13: Repeated-Measures Analysis of Variance Anova

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

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

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

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?​

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?​

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?​

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the numerator of the F-ratio for repeated-measures ANOVA?​

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 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 analysis of variance produces SSwithin treatments = 84 and SSbetween subjects = 20.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 subjects participated in this experiment?​

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

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

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the denominator of the F-ratio for repeated-measures ANOVA?​

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?​

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?​

The repeated-measures ANOVA is a two-stage process.Which statement accurately describes the second stage of this process?​

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_total = 40 and SS_{within treatments} = 10.For this analysis,what is SS_{between treatments}?

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

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

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}?

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_{between subjects}?

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?

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the numerator of the F-ratio for repeated-measures ANOVA?

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 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 analysis of variance produces SS_{within treatments} = 84 and SS_{between subjects} = 20.For this analysis,what is the value of SS_error?

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

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

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

For independent-measures ANOVA,individual differences contribute to the variance in the numerator and in the denominator of the F-ratio.What happens to the individual differences in the denominator of the F-ratio for repeated-measures ANOVA?

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?

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?

The repeated-measures ANOVA is a two-stage process.Which statement accurately describes the second stage of this process?

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 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?