A medical researcher is testing the effects of exercise on HDL(good) cholesterol

Question

A medical researcher is testing the effects of exercise on HDL(good) cholesterol. Thirty subjects are assigned at random to one of six levels of exercise, these 30 participants followed a strict diet along with their assigned number of exercise hours. A second group, also consisting of another 30 participants were assigned to one of each of the six exercise levels and who maintained their usual eating. Assume that Ms_ = 350 with df_ = 48. Calculate and test for significance for the 2 times 2 interaction contrast between weeks 3 and 15 for diet + exercise and exercise only. For the main effect for the exercise and diet group, test the significance of the linear trend.

Explanation / Answer

I. we used Chi-sq test to check the intercation effect:

II. We use simple linear regression approach to test the significant of the slope of trend (regression) line:

Excel formula for Chi-sq test:

observed week-> 3 15 exercise+diet 55 77 132 exercise 60 71 131 115 148 263 expected week-> 3 15 exercise+diet 58 74 exercise 57 74 p-value for Chi-sq test= 0.5 since p-value>0.05; we cant reject H0; thus no significant interaction effect is observed.

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