In a one way analysis of variance what are the two sources of variation that are estimated and compared
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Homework #4
- Researchers interested in hormonal changes in women runners measured the level of luteinizing hormone (LH) in nonrunners, recreational runners and elite runners. After data collection, the investigators used 3 independent t-tests to compare LH levels between each group at the 0.05 two-sided significance level. Explain why this is not an appropriate method of analysis. Provide an alternative method.
- Use the following simulator to create a examples where:
- The F-statistic is not significant (p<0.05).
- Using the same means, the F-statistic is significant (p<0.05).
- Comment on the within and between subject variation for each example.
- After conducting an analysis of variance the researchers from question 1 observed an F=5.69 (with numerator df=2 and denominator df=202).
- In a one-way analysis of variance what are the two sources of variation that are estimated and compared?
- Interpret the resulting test statistic (is it significant? what does it mean?)
c. What are the assumptions of this test?
4. In a study measuring the effect of an antiretroviral therapy on CD4 counts, the authors noted a significant interaction between treatment and age. Explain what the authors mean by the word “interaction”.
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