In: Statistics and Probability
Question 16
Imagine that exactly 5 years ago, a team of epidemiologists identified a study population of 4,500 men, 65-74 years, in Cedar Rapids, Iowa, to determine the incidence (or risk) of prostate cancer. Initial tests indicated that 515 of the men already had prostate cancer (and therefore not at risk). The remaining men were followed for 5 years to determine the cumulative incidence of prostate cancer. By the end of the follow-up, 156 men had developed prostate cancer. What was 5-year cumulative incidence?
37 new cases of prostate cancer per 1,000 men over the 5-year study |
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38 new cases of prostate cancer per 1,000 men over the 5-year study |
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39 new cases of prostate cancer per 1,000 men over the 5-year study |
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40 new cases of prostate cancer per 1,000 men over the 5-year study |
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41 new cases of prostate cancer per 1,000 men over the 5-year study |
Question 17
Imagine that a study
of prostate cancer was initiated in Des Moines, Iowa. A total of
1,000 men, 55-64 years of age, with no prior evidence of prostate
cancer were enrolled in a 4 year study. Each year during the study,
the men being observed were examined and tested for presence of
prostate cancer. The results of annual examinations revealed:
20 cases confirmed at 1st
exam
25 additional cases at 2nd
exam
40 additional cases at 3rd
exam
45 additional cases at 4th
(final) exam
What is incidence density of prostate cancer in this group?
18 new cases of prostate cancer per 1,000 person-years in the study |
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34 new cases of prostate cancer per 1,000 person-years in the study |
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37 new cases of prostate cancer per 1,000 person-years in the study |
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42 new cases of prostate cancer per 1,000 person-years in the study |
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105 new cases of prostate cancer per 1,000 person-years in the study |
Total number of men to be surveyed = 4500
Existing patients of prostate cancer = 515
so, the revised sample becomes = 4500 - 515 = 3985
Number of men exposed to prostate cancer in 5 years = 156
Number of new cases in 5 years = 156/3985 = 0.0391468
Number of new cases per 1000 men in 5 years = 0.0391468*1000 = 39
hence the correct answer is : 3 that is, 39 new cases of prostate cancer per 1,000 men over the 5-year study
initial sample size = 1000
1st stage: 20 cases are confirmed
that is 20 cases per 1000 men
Revised sample size after 1st stage = 1000 - 20 = 980
2nd stage: 25 cases are confirmed
that is 25 cases per 980 men
Revised sample size after 2nd stage = 980 - 25 = 955
3rd stage: 40 cases are confirmed
that is 40 cases per 965 men
Revised sample size after 3rd stage = 965 - 40 = 925
4th stage: 45 cases are confirmed
that is 45 cases per 925 men
The actual ratio of cases become = 20/1000 + 25/980 + 40/965 + 45/925 = 0.13711
Cases per 1000 per year = (0.13711*1000)/4 = 137.11/4 = 34
correct answer is : 34 new cases of prostate cancer per 1,000 person-years in the study