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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

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.xls. 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. If you use a software program, please show your work. I prefer work to be shown on the computer than by hand. Thanks.

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

A. 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: (Mean age of onset (Vanderbilt))

Genotype Mean age of onset (Vanderbilt) Mean age of onset (Nashville)

1.6/1.6 59.2

1.6/0.7 59.5

0.7/0.7 63.1

B. 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. (If you're using a statistical software, please show your work. Thanks.)

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