Still on data TET. In this question, we will choose LOGACT21 as our response, the two factors DOSAGE and SEX will be considered.(You will choose significance level at .05).

a. Set up appropriate model for this data (including the possible interaction terms).

B. (Interaction effect) Test the hypothesis that the gender effect is the same for all three levels of DOSAGE. Set up appropriate model, hypotheses and report your results.

C. Considering the model without the interactions, do levels of DOSAGE Have any significant impact on the mean value of LOGACT21? Set up appropriate model, hypotheses and report your results.

ID LOGACT21 Dosage Sex

1 2.636 0 Male

2 2.736 0 Male

3 2.775 0 Male

4 2.672 0 Male

5 2.653 0 Male

6 2.569 0 Male

7 2.737 0 Male

8 2.588 0 Male

9 2.735 0 Male

10 2.444 3 Male

11 2.744 3 Male

12 2.207 3 Male

13 2.851 3 Male

14 2.533 3 Male

15 2.63 3 Male

16 2.688 3 Male

17 2.665 3 Male

18 2.517 3 Male

19 2.769 3 Male

20 2.694 6 Male

21 2.845 6 Male

22 2.865 6 Male

23 3.001 6 Male

24 3.043 6 Male

25 3.066 6 Male

26 2.747 6 Male

27 2.894 6 Male

28 1.851 6 Male

29 2.489 6 Male

30 2.494 0 Female

31 2.723 0 Female

32 2.841 0 Female

33 2.62 0 Female

34 2.682 0 Female

35 2.644 0 Female

36 2.684 0 Female

37 2.607 0 Female

38 2.591 0 Female

39 2.737 0 Female

40 2.22 3 Female

41 2.371 3 Female

42 2.679 3 Female

43 2.591 3 Female

44 2.942 3 Female

45 2.473 3 Female

46 2.814 3 Female

47 2.622 3 Female

48 2.73 3 Female

49 2.955 3 Female

50 2.54 6 Female

51 3.113 6 Female

52 2.468 6 Female

53 2.606 6 Female

54 2.764 6 Female

55 2.859 6 Female

56 2.763 6 Female

57 3 6 Female

58 3.111 6 Female

59 2.858 6 Female