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OCR for page 17
Appendix A
Power Calculations
The Columbia University researchers have performed power calcula-
tions to estimate the number of subjects that would be needed to conduct
an informative study of health outcomes in US veterans of Vietnam. Such
calculations comprise many variables, including the incidence rate of the
disease being studied, the age of the subjects, the proportion of exposed
subjects in the cohort, the statistical confidence levels considered accept-
able, and the magnitude of the difference in incidence rates that could be
detected.
Illustrative calculations were made for non-Hodgkin's lymphoma
(NHL).1 The sample sizes were estimated on the basis of a 1-tailed chi-
square test with alpha = 0.05 and beta = 0.80, an unequal sample size for
the exposed and comparison groups (1:4 ratio), and a 587.75/100,000 cu-
mulative NHL incidence in the comparison group. They are given below
in terms of the relative risk (RR, also known as the risk ratio) that could be
detected.
1 The committees responsible for the Veterans and Agent Orange series of reports have
found sufficient evidence of an association between exposure to the herbicides used in
Vietnam and NHL.
17
OCR for page 18
18 EXPOSURE OF VETERANS TO AGENT ORANGE AND OTHER HERBICIDES
RR
Number Number Sample
exposed comparison size needed
1.25 23,310 93,240 116,550
1.50 6,356 25,422 31,778
1.75 3,057 12,227 15,283
2.00 1,849 7,395 9,243
2.50 936 3,742 4,677
3.00 590 2,359 2,948
4.00 319 1,273 1,591
5.00 211 842 1,052
All else equal, diseases that are more common than NHL among
individuals in the same age bracket as US veterans of Vietnam would
require smaller sample sizes to detect the same RR; less common diseases
would require larger sample sizes. Using a larger percentage of exposed
individuals would also decrease the sample size needed to detect the
same RR.
Representative terms from entire chapter:
power calculations