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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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One-Way Anova: Analysis of variance in Skull breadth

See the attached data file.

Please see attached data. Given that the three sample means are 132.7, 134.4, and 138.1, can we use analysis of variance to conclude that the mean skull breadth from 150 AD is different from the means in 400 BC and 1850 BC? Why or why not?

(i) [Answer the first question.]

(ii) [Answer the second question.]

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