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

1. 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.

2.  Use the following simulator to create a examples where:

1. The F-statistic is not significant (p<0.05).
2. Using the same means, the F-statistic is significant (p<0.05).
3. Comment on the within and between subject variation for each example.

3. After conducting an analysis of variance the researchers from question 1 observed an F=5.69 (with numerator df=2 and denominator df=202). 

1. In a one-way analysis of variance what are the two sources of variation that are estimated and compared?

2. 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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