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    ANOVA Analysis

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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?

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    Solution Summary

    The solution provides step-by-step method of performing a ANOVA Analysis in EXCEL. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained in details.