What is the relationship between the F -ratio for a repeated-measures ANOVA and the F -ratio for an independent-measures ANOVA? Specifically, describe the role of individual difference in each.

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Answer 1

Textbook Question

Chapter 13, Problem 1P

What is the relationship between the F-ratio for a repeated-measures ANOVA and the F-ratio for an independent-measures ANOVA? Specifically, describe the role of individual difference in each.

Expert Solution & Answer

To determine

Relationship between the F-ratio for a repeated-measure ANOVA and the F-ratio for an independent-measure ANOVA.

Answer to Problem 1P

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Explanation of Solution

Both the F-ratio for repeated-measures ANOVA and independent-measures ANOVA are used compare the mean differences for more than two treatments but in case of repeated-measures study, same participants are used for all treatments while in case of independent-measures ANOVA, participants in each treatment are different. So, repeated-measures ANOVA uses fewer participants than independent-measures ANOVA.

Also, in F-ratio of independent measure ANOVA, there exist individual differences between treatments and within treatments because participants in each treatment are not same while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Conclusion:

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

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Answer 2

Textbook Question

Chapter 13, Problem 1P

What is the relationship between the F-ratio for a repeated-measures ANOVA and the F-ratio for an independent-measures ANOVA? Specifically, describe the role of individual difference in each.

Expert Solution & Answer

To determine

Relationship between the F-ratio for a repeated-measure ANOVA and the F-ratio for an independent-measure ANOVA.

Answer to Problem 1P

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Explanation of Solution

Both the F-ratio for repeated-measures ANOVA and independent-measures ANOVA are used compare the mean differences for more than two treatments but in case of repeated-measures study, same participants are used for all treatments while in case of independent-measures ANOVA, participants in each treatment are different. So, repeated-measures ANOVA uses fewer participants than independent-measures ANOVA.

Also, in F-ratio of independent measure ANOVA, there exist individual differences between treatments and within treatments because participants in each treatment are not same while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Conclusion:

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

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Answer 3

Textbook Question

Chapter 13, Problem 1P

What is the relationship between the F-ratio for a repeated-measures ANOVA and the F-ratio for an independent-measures ANOVA? Specifically, describe the role of individual difference in each.

Expert Solution & Answer

To determine

Relationship between the F-ratio for a repeated-measure ANOVA and the F-ratio for an independent-measure ANOVA.

Answer to Problem 1P

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Explanation of Solution

Both the F-ratio for repeated-measures ANOVA and independent-measures ANOVA are used compare the mean differences for more than two treatments but in case of repeated-measures study, same participants are used for all treatments while in case of independent-measures ANOVA, participants in each treatment are different. So, repeated-measures ANOVA uses fewer participants than independent-measures ANOVA.

Also, in F-ratio of independent measure ANOVA, there exist individual differences between treatments and within treatments because participants in each treatment are not same while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Conclusion:

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

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Answer 4

Textbook Question

Chapter 13, Problem 1P

What is the relationship between the F-ratio for a repeated-measures ANOVA and the F-ratio for an independent-measures ANOVA? Specifically, describe the role of individual difference in each.

Expert Solution & Answer

To determine

Relationship between the F-ratio for a repeated-measure ANOVA and the F-ratio for an independent-measure ANOVA.

Answer to Problem 1P

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Explanation of Solution

Both the F-ratio for repeated-measures ANOVA and independent-measures ANOVA are used compare the mean differences for more than two treatments but in case of repeated-measures study, same participants are used for all treatments while in case of independent-measures ANOVA, participants in each treatment are different. So, repeated-measures ANOVA uses fewer participants than independent-measures ANOVA.

Also, in F-ratio of independent measure ANOVA, there exist individual differences between treatments and within treatments because participants in each treatment are not same while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Conclusion:

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Relationship between the F-ratio for a repeated-measure ANOVA and the F-ratio for an independent-measure ANOVA.

Answer to Problem 1P

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Explanation of Solution

Both the F-ratio for repeated-measures ANOVA and independent-measures ANOVA are used compare the mean differences for more than two treatments but in case of repeated-measures study, same participants are used for all treatments while in case of independent-measures ANOVA, participants in each treatment are different. So, repeated-measures ANOVA uses fewer participants than independent-measures ANOVA.

Also, in F-ratio of independent measure ANOVA, there exist individual differences between treatments and within treatments because participants in each treatment are not same while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Conclusion:

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Answer 8

Expert Solution & Answer

To determine

Relationship between the F-ratio for a repeated-measure ANOVA and the F-ratio for an independent-measure ANOVA.

Answer to Problem 1P

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Explanation of Solution

Both the F-ratio for repeated-measures ANOVA and independent-measures ANOVA are used compare the mean differences for more than two treatments but in case of repeated-measures study, same participants are used for all treatments while in case of independent-measures ANOVA, participants in each treatment are different. So, repeated-measures ANOVA uses fewer participants than independent-measures ANOVA.

Also, in F-ratio of independent measure ANOVA, there exist individual differences between treatments and within treatments because participants in each treatment are not same while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Conclusion:

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Relationship between the F-ratio for a repeated-measure ANOVA and the F-ratio for an independent-measure ANOVA.

Answer 12

Answer to Problem 1P

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Answer 13

Explanation of Solution

Both the F-ratio for repeated-measures ANOVA and independent-measures ANOVA are used compare the mean differences for more than two treatments but in case of repeated-measures study, same participants are used for all treatments while in case of independent-measures ANOVA, participants in each treatment are different. So, repeated-measures ANOVA uses fewer participants than independent-measures ANOVA.

Also, in F-ratio of independent measure ANOVA, there exist individual differences between treatments and within treatments because participants in each treatment are not same while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Conclusion:

Repeated-measures ANOVA use fewer participants than independent-measures and ANOVA. There exist individual differences in both numerator and denominator of F-ratio of independent measure ANOVA while in case of repeated-measures design individual differences get automatically eliminated from the numerator of F-ratio but individual differences need to be computed and eliminated from the denominator of F-ratio.

Answer 14

Ch. 13.1 - Where are individual differences located in the...Ch. 13.1 - What happens to the variability due to individual...Ch. 13.2 - What happens during the second stage of a...Ch. 13.2 - Prob. 2LC Ch. 13.2 - For the following data, what are the df values for...Ch. 13.2 - The results of a repeated-measures ANOVA are...Ch. 13.3 - Prob. 1LC Ch. 13.3 - A repeated-measures ANOVA produced an F-ratio of F...Ch. 13.4 - A two-factor study with two levels of factor A and...Ch. 13.4 - Which of the following accurately describes an...

What is the relationship between the F -ratio for a repeated-measures ANOVA and the F -ratio for an independent-measures ANOVA? Specifically, describe the role of individual difference in each.

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