Deck 13: Repeated-Measures Anova

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

Answer 1

D

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

Answer 2

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

Answer 3

C

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

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

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

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.

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

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

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.

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

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.

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}

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

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

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.

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

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_{between subjects}?

A)2
B)3
C)6
D)10

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

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

Question 21

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?

Question 22

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

Question 23

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?

A)25
B)13
C)12
D)7

Question 24

For the following data, what is SS_total?

Question 25

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

Question 26

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

Question 27

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

A)3
B)4
C)27
D)28

Question 28

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?

Question 29

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

Question 30

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

A)between subjects and error
B)between subjects and between treatments
C)between treatments and error
D)total variability and error

Question 31

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

A)total SS
B)between treatment SS
C)within treatment SS
D)the denominator of the F ratio

Question 32

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?

A)2
B)4
C)16
D)Cannot determine without more information.

Question 33

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

A)MS error
B)MS between subjects
C)MS within
D)MS between treatment

Question 34

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)4
B)10
C)40
D)none of the other options is correct

Question 35

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?

A)1
B)14
C)15
D)Cannot determine without more information.

Question 36

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)2
B)4
C)6
D)10

Question 37

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?

A)Reject the null hypothesis with $\alpha$ = .05 but not with $\alpha$ = .01.
B)Reject the null hypothesis with either $\alpha$ = .05 or $\alpha$ = .01.
C)Fail to reject the null hypothesis with either $\alpha$ = .05 or $\alpha$ = .01.
D)There is not enough information to determine the correct decision.

Question 38

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

A)error df and between subjects df
B)within treatments df and between subjects df
C)between treatments df and between subjects df
D)between treatments df and within treatments df

Question 39

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?

A) $22 / 30$
B) $22 / 50$
C) $22 / 58$
D) $22 / 80$

Question 40

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 = _____.

A)27
B)28
C)29
D)30

Question 41

For a repeated-measures design, the differences between treatments may be caused by a treatment effect or by sampling error (random factors), but they cannot be caused by individual differences.

Question 42

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

Question 43

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

Question 44

Based on the results of a repeated-measures ANOVA, a researcher reports F(4, 20) = 2.57,
p > .05.For this ANOVA, the null hypothesis was rejected.

Question 45

A repeated-measures study comparing three treatment conditions with a sample of n = 10 participants would produce an F-ratio with df = 2, 18.

Question 46

For the repeated ANOVA, SS_{within treatments} = SS_{between subjects} + SS_error.

Question 47

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.

Question 48

A repeated-measures study uses a sample of n = 8 participants to evaluate the mean differences between two treatment conditions.The analysis of variance for this study will have df_error = 7.

Question 49

One major difference between the independent?measures ANOVA and the repeated?measures analysis is that SS_total is calculated differently for each type of ANOVA.

Question 50

A repeated-measures study uses a sample of n = 10 participants to evaluate the mean differences among three treatment conditions.The F-ratio for the repeated-measures ANOVA will have df = 2, 18.

Question 51

In a repeated-measures ANOVA, individual differences are measured by SS_{between subjects}.

Question 52

The analysis of total variability into between-treatments and within-treatments variability is the same for a repeated-measures ANOVA and an independent-measures ANOVA.

Question 53

The result of a repeated-measures ANOVA stated that F(3, 21) = 4.57, p < .05.The study used a sample of n = 7 participants.

Question 54

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.

Question 55

In the second stage of analysis for the repeated-measures ANOVA, individual differences are removed from the denominator of the F-ratio.

Question 56

The F-ratio for a repeated-measures ANOVA has df = 2, 16.The research study compared 3 treatments with a sample of n = 8 participants.

Question 57

A researcher reports the results of an ANOVA for a repeated-measures study as "F(2, 12) = 7.84, p < .01." This study used a sample of n = 13 participants.

Question 58

The denominator of the repeated-measures F-ratio is intended to measure differences that exist without any systematic treatment effect or any systematic individual differences.

Question 59

In a repeated-measures ANOVA the variability caused by systematic individual differences must be measured and subtracted out of the between-treatments variability in the numerator of the F-ratio.

Question 60

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.

Question 61

The first stage of a repeated-measures ANOVA is identical to the analysis in an independent-measures ANOVA.

Question 62

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

Question 63

For a repeated-measures ANOVA, n = 5, k = 4, and error SS= 24.Therefore, MS_error = 2.

Question 64

A repeated-measures ANVOA produces SS_{between treatments} = 30 and SS_total = 60.For this study, the percentage of variance accounted for by the treatments is η² = 30/60 = 0.50.

Question 65

A repeated-measures t test produces a t statistic of t = 4.00 with df = 12.If the same data were evaluated with a repeated-measures ANOVA, the F-ratio would have df = 2, 12.

Question 66

A repeated-measures study compares three treatments with a sample of n = 12 subjects.For the analysis of variance, df_error = 33.

Question 67

For a repeated-measures ANOVA if SS_{between subjects} = 40 and SS_{within treatments} = 70, then
SS_error = 30.

Question 68

The repeated-measures ANOVA begins the same way as the independent-measures ANOVA with the total variability partitioned into between-treatment and within-treatment components.

Question 69

A repeated-measures t test produces a t statistic of t = 4.00 with df = 12.If the same data were evaluated with a repeated-measures ANOVA, the F-ratio would be F = 16.

Question 70

A repeated-measures study has n = 8 subjects and k = 3 treatments.For this study, df_error= 21.