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    Step-by-Step One Way Analysis of Variance (ANOVA)

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    I have been working on this, Can anyone help me with this? In easy to understand terms?

    ANOVA (One-Way Analysis of Variance)

    1. A psychologist would like to investigate the relative effectiveness of three therapeutic techniques for treating mild phobias. A sample of 15 individuals who demonstrate a moderate fear of spiders are randomly assigned to each of the three therapies. The data given below represent a measure of reported fear of spiders after therapy (higher numbers imply more fear). Do the different therapies produce different results? Test at = 0.05.

    Therapy A: 5 6 3 4 3
    Therapy B: 3 3 0 2 2
    Therapy C: 1 0 1 2 1

    a. The name of this test is:

    b. List 2 assumptions or special notes:

    c. Hypothesis:
    H0: _________________________ H1: _________________________

    d. F-test value: ______________ d.f.: _________________

    e. P-value: ______________

    f. Conclusions: Reject or Retain H0 (circle one)

    Summary Statement: ___________________________________________________

    g. If one of the therapies is better than the others, which is it and why?

    2. A researcher wishes to investigate if 3 different techniques lower a person's systolic blood pressure (SBP). Subjects are randomly assigned to three groups: medication, exercise, and diet, and after four weeks, the reduction in each person's SBP is recorded (and given below). Test the claim at = 0.05.

    Medication: 10 12 9 15 13 8 8
    Exercise: 6 8 3 0 2 4 4
    Diet: 5 9 7 8 4 8 3

    a. The name of this test is: ____________________________________________

    b. List 2 assumptions or special notes:

    c. Hypothesis:

    H0: ______________________ H1: __________________________

    d. F-test value: ______________ d.f. ___________________

    e. P-value: ______________

    f. Conclusions: → Reject or Retain H0 (circle one)
    → Summary Statement:

    g. Which (if any) technique appears most effective in lowering SBP, and why?

    h. Summarize the Homogeneity of Variance test:
    -- Hypothesis:
    H0: _________________________ H1: _________________________
    -- Test Statistic: _________________________ -- P-value: ___________
    -- Conclusion: Reject or Retain H0 (circle one)

    Summary Statement:________________________________

    j. Summarize the results of a Tukey Post Hoc test:

    k. Calculate the effect size:
    η2 = ___________________.

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    Solution Summary

    This solution gives the step by step method for ANOVA.

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