Please check my answers.

A 1989 study by Parl et al. (Breast Cancer Res Tr; 14:57-64) showed an association between a polymorphism in the estrogen receptor gene and the age of onset of breast cancer. The data is in the data set polymorphism.dta. Listed below. There are three genotypes: 1.6/1.6, 1.6/0.7 and 0.7/0.7. The numbers refer to the size of a PvuII restriction fragment in kilobases.

A. Perform ANOVA to compare the three genotypes with age of onset as the response. What is the p-value for Bartlett's test for equal variances?___0.5828_________ Is it necessary that the variances be roughly equivalent to perform ANOVA?

Yes, it is necessary condition that the variances of the groups should be almost equal to perform ANOVA.

B. What is the p-value of the F test that compares the between groups and within groups variances? ______0.000978____. What is the F value? ____7.863__What can you conclude?

Reject the null hypothesis

C. What is the Bonferroni-corrected p-value (from software) for each of the following pairwise comparisons?

1.6/1.6 to 1.6/0.7: _____-1.000__________

1.6/1.6 to 0.7/0/7: _____-0.0065_________

1.6/0.7 to 0.7/0.7: _____-0.0015_________

D. What genotype (if any) is different from the others in terms of age of onset?

The genotype 0.7/0.7 is different from the others in terms of age of onset.

E. A follow-up study in 1992 by Yaich et al. (Cancer Res 52:77-82) examined patients at Nashville Memorial Hospital. Your data set (polymorphism.dta) contains data from Vanderbilt University Hospital in the same city. Based on your data set, fill in the following table:

Genotype Mean age of onset (Vanderbilt)

Mean age of onset (Nashville)

1.6/1.6 64.6

59.2

1.6/0.7 64.4

59.5

0.7/0.7 50.4

63.1

F. Follow-up studies since the 1992 study have confirmed the lack of association between genotype and age of onset of breast cancer. Would you say that the lack of association and the Nashville data agree with the ANOVA result from your data set? If not, statistically speaking (not medically or environmentally), explain what type of error was made and how that is possible.

Polymorphism Table:

age genotype

43 1.6 /1.6

47 1.6 /1.6

55 1.6 /1.6

57 1.6 /1.6

61 1.6 /1.6

63 1.6 /1.6

63 1.6 /1.6

69 1.6 /1.6

70 1.6 /1.6

72 1.6 /1.6

72 1.6 /1.6

75 1.6 /1.6

79 1.6 /1.6

79 1.6 /1.6

38 1.6 /0.7

43 1.6 /0.7

43 1.6 /0.7

45 1.6 /0.7

49 1.6 /0.7

53 1.6 /0.7

54 1.6 /0.7

54 1.6 /0.7

54 1.6 /0.7

59 1.6 /0.7

59 1.6 /0.7

62 1.6 /0.7

65 1.6 /0.7

65 1.6 /0.7

67 1.6 /0.7

68 1.6 /0.7

68 1.6 /0.7

70 1.6 /0.7

71 1.6 /0.7

73 1.6 /0.7

73 1.6 /0.7

73 1.6 /0.7

75 1.6 /0.7

76 1.6 /0.7

78 1.6 /0.7

79 1.6 /0.7

83 1.6 /0.7

83 1.6 /0.7

87 1.6 /0.7

33 0.7/0.7

36 0.7/0.7

39 0.7/0.7

44 0.7/0.7

45 0.7/0.7

45 0.7/0.7

46 0.7/0.7

46 0.7/0.7

51 0.7/0.7

52 0.7/0.7

55 0.7/0.7

57 0.7/0.7

60 0.7/0.7

62 0.7/0.7

63 0.7/0.7

72 0.7/0.7