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Mathematics
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Statistics for The Behavioral Sciences
Exam 13: Repeated-Measures Analysis of Variance Anova
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Question 1
Multiple Choice
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?
Question 2
True/False
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 3
Multiple Choice
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
?
Question 4
Multiple Choice
For a repeated-measures ANOVA,which of the following is computed differently,compared to an independent-measures ANOVA?
Question 5
Essay
One advantage of the repeated-measures ANOVA is that it eliminates "individual differences" as a source of variability.Explain why there are no individual differences in the numerator and in the denominator of the F-ratio.
Question 6
Multiple Choice
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??
Source
SS
df
MS
Between
28
x
x
x
x
F
=
x
x
Within
x
x
x
x
Bet. Sub.
16
x
x
Error
x
x
x
x
x
x
\begin{array} { l c l l l } \text { Source } & \text { SS } & \text { df } & \text { MS } \\\hline \text { Between } & 28 & \mathrm { xx } & \mathrm { xx } & F = \mathrm { xx } \\\text { Within } & \mathrm { xx } & \mathrm { xx } & & \\\quad \text { Bet. Sub. } & 16 & \mathrm { xx } & \\\quad \text { Error } & \mathrm { xx } & \mathrm { xx } & \mathrm { xx }\end{array}
Source
Between
Within
Bet. Sub.
Error
SS
28
xx
16
xx
df
xx
xx
xx
xx
MS
xx
xx
F
=
xx
Question 7
True/False
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 8
Multiple Choice
For repeated-measures ANOVA,the variability within treatments is divided into two components.What are they?
Question 9
Multiple Choice
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?
Question 10
Multiple Choice
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?
Question 11
Multiple Choice
A repeated-measures ANOVA produced an F-ratio 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?
Question 12
Multiple Choice
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?
Question 13
Multiple Choice
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?