Analysis of variance-one way

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Katie is studying aggression among adolescent girls. She believes that there is a relationship between the level of interaction a girl has with her mother and her level of aggression. She has identified 5 girls who fall into each of 4 interaction levels and has measured their aggression scores. Her data are given below.

No Interaction

Low Interaction

Moderate Interaction

High Interaction

4

4

4

3

5

6

4

4

6

5

3

4

6

4

5

3

5

5

4

3

The summary table is as follows:

Source

Sum of Squares

df

Mean Square

F

Between groups

9.75

3

3.250

5.91

Within groups

8.80

16

0.550

 

Total

18.55

19

 

 

  • What are the independent variable and the dependent variables?
  • Should Katie conduct a between-subject ANOVA or a within-subject ANOVA? Explain your answer.
  • How many factors are involved in Katie's study?
  • How many levels are involved? Name the level(s).
  • What are the null and alternate hypotheses?
  • Using a = 0.05, what is Fcrit?
  • Is the F-test significant?
  • Based on your answer about significance, what else should you do and why?

Reference no: EM1316004

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