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

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 = ___________________.

https://brainmass.com/statistics/hypothesis-testing/steps-analysis-variance-anova-585985

#### Solution Summary

This solution gives the step by step method for ANOVA.