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National Institute for Occupational Safety and Health, Cincinnati, Ohio 45226 [K. S.]; School of Math and Statistics, University of Plymouth, Drake Circus, Plymouth PL48AA, United Kingdom [I. B.]; Department of Epidemiology, University of California Los Angeles School of Public Health, Los Angeles, California 90095-1772 [S. G.]; and IARC, 69372 Lyon, France [P. B.]
Traditional methods of adjustment for multiple comparisons
(e.g., Bonferroni adjustments) have fallen into disuse
in epidemiological studies. However, alternative kinds of adjustment
for data with multiple comparisons may sometimes be advisable. When a
large number of comparisons are made, and when there is a high cost to
investigating false positive leads, empirical or semi-Bayes adjustments
may help in the selection of the most promising leads. Here we offer an
example of such adjustments in a large surveillance data set of
occupation and cancer in Nordic countries, in which we used empirical
Bayes (EB) adjustments to evaluate standardized incidence ratios (SIRs)
for cancer and occupation among craftsmen and laborers. For men, there
were 642 SIRs, of which 138 (21%) had a P < 0.05
(13% positive with SIR > 1.0 and 8% negative with SIR
1.0) when testing the null hypothesis of no cancer/occupation
association; some of these were probably due to confounding by
nonoccupational risk factors (e.g., smoking). After EB
adjustments, there were 95 (15%) SIRs with P <
0.05 (10% positive and 5% negative). For women, there were 373
SIRs, of which 37 (10%) had P < 0.05 before
adjustment (6% positive and 4% negative) and 13 (3%) had
P < 0.05 after adjustment (2% positive and 1%
negative). Several known associations were confirmed after EB
adjustment (e.g., pleural cancer among plumbers,
original SIR 3.2 (95% confidence interval, 2.54.1), adjusted SIR 2.0
(95% confidence interval, 1.62.4). EB can produce more
accurate estimates of relative risk by shrinking imprecise outliers
toward the mean, which may reduce the number of false positives
otherwise flagged for further investigation. For example, liver cancer
among chimney sweepers was reduced from an original SIR of 2.2 (range,
1.14.4) to an adjusted SIR of 1.1 (range, 0.91.4). A
potentially important future application for EB is studies of
gene-environment-disease interactions, in which hundreds of
polymorphisms may be evaluated with dozens of environmental risk
factors in large cohort studies, producing thousands of associations.
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