Can the repeated-measures ANOVA technique in can be used to analyze a design with only one independent variable? Explain your answer in detail.

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1. Can the repeated-measures ANOVA technique in can be used to analyze a design with only one independent variable? Explain your answer in detail.

2. Is Tukey HSD test appropriate for data analyzed with a repeated-measures ANOVA? Explain your answer in detail.

Data Set 12-1

Subjects X1 X2 X3  

1 0 3 5 8
2 3 4 6 13
  3 7 11 21

 

3. Calculate SStot using data set 12-1. Show all of your work.

4. Calculate SStreat using data set 12-1. Show all of your work.

5. Developmental psychologists study children at different ages. In this study, the children were tested three times, at ages 5, 6 and 7. At each age, they worked a set of 25 problems. Each problem was a measure of the child’s understanding of the concept of conservation (the concept that quantity remains the same despite changes in shape). The scores below represent percentage correct on the set of 25 problems. Calculate a repeated-measures ANOVA, Tukey HSD tests, and write an interpretation.

 

  Age
Child 5 6 7
1 4 12 68
2 12 24 80
3 20 16 88
4 20 20 84

 

 

 

6. How do you calculate the F ratio in a repeated-measures ANOVA?

7. Compare one-factor repeated-measures ANOVA is and a one-way ANOVA.

8. What is the maximum number of independent variables that can be handled by a one-factor repeated-ANOVA? Explain.

9. A one-factor repeated-measures ANOVA partitions the total variance into how many component(s)? Explain your answer.

10. Describe when Type I error occurs.

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