Question

In: Statistics and Probability

Dr. Kovaleski is interested in examining whether quantity of sleep impacts problem solving ability. To test...

Dr. Kovaleski is interested in examining whether quantity of sleep impacts problem solving ability. To test problem solving ability, the research team gave participants a puzzle and measured how long it took participants to solve the puzzle in minutes. A group of participants were instructed to sleep 5 hours and then solve the puzzle in the morning. Then the same participants were instructed to sleep 7 hours and then solve a different puzzle in the morning. Then, participants were asked to sleep 9 hours and then solved a third puzzle in the morning.

5 hours

7 hours

9 hours

6

4

6

8

3

1

9

5

3

6

6

6

5

2

1

Answer the following questions and compute the Repeated Measures One Way ANOVA for the data provided above. For this example, assume that alpha is 0.05.

  1. What is the Independent Variable? What are the levels of the IV?
  2. What are potential confounds and internal validity threats in this design, if any?
  3. Given this data, what is your calculated F-value?
  4. Given this data, what is your critical value?
  5. Given this data, do you need to calculate an effect size? If so, what is the effect size?
  6. Given this data, do you need to calculate any Post-hoc tests? If so, which comparisons are significant?

Solutions

Expert Solution

IV is hours of sleep. The levels of Independent variable are 5hrs , 7hrs and 9hrs.

thus it may concluded that the hours of sleep affects the ability to solve the puzzle.

Tuckys test for pair wise comparison

For level 5hrs and 9hrs the solving ability is significant.

I have given my best to solve your problem. Please like the answer if you are satisfied with it. ?


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