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Letters
For example, sentence one of paragraph two of the abstract is a state-
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_ , .{vent of fact, i.e. as lone as readers do
DY COPYRIGHT LAffi get confused regarding a "study
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population" and the "population at risk"; the latter being the one on which
inferences are made and presumably the
Readers are invited to submit letters lor publication in this department. Submit to Ir ving R Tabershaw, MO., Editor, P.O. Box 2169, Rockville, MO 20852. Letters should be typewritten, double spaced and should be designated "For Publication".
population of importance -- in most epidemiological efforts. Very interesting, but what can we make of the statement? Not much, really, for the real inference to the "population at risk" can be found
under (2) in the 3rd paragraph of the ab
stract. The last sentence of the abstract
Vinyl Chloride and Its Potymegs
suggests that vinyl chloride may be
Letter-to-the-Editor. -- This is in associated with cancer of multiple sites.
reference to the article by Tabershaw Nonsense; no such a suggestion exists.
and Gaffey: Mortality Study of Workers In the same light, vinyl chloride may not
in the Manufacture of Vinyl Chloride be associated with cancer of multiple
and its Polymers, /OM 16, August 1974. sites. These high SMR's may well be a
I find this article to be quite interesting consequence of sampling variability and
as well as intriguing. Although it appears in fact, the authors were unable to infer
that the methodology employed could that significant excesses occur in the risk
withstand a great deal of scrutiny, I am population.
not at all convinced regarding the in
The discussion on page 513 presents
terpretation. of the resuits.
rationale in support of the conclusions
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found in the abstract. While the authors intuitive judgment may well be correct, the results are inconclusive. Using statistical justification as support for their conclusions is most certainly invalid.
Robert B. Reger Chief, Statistics Branch NIOSH-ALFORD Morgantown, WV 26505
Reply to Robert B. Reger's Letter
Reger's first comment on our paper makes a distinction between "population exposed to risk" and "study population," with which we agree. In every epidemiological study of which we are aware, the study population is, usually by design, a subgroup of the total population exposed to risk. Unless that subgroup is chosen by some kind of probability sampling, which is rarely the case, generalization from the study population to the population at risk is not a purely statistical process. It is
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mon sense data bearit generalizat this comm
The secc elusions o on which statistically responses points, we most relev
The first this case
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our paper between ind "sludi agree In of which ulahon n >p of the tk. Unless ne kind o( rarely the ie study at risk is 'SS. It is
^iated by a certain amount of coin er, sense, and the existence of other
bearing on the plausibility of the cneralization. Our investigation shares in,s common defect
The second comment attacks our conC Uiions on the ground that the SMR's n which they are based are not (jtisncally significant. Of the several ^ponses which might be made to this n.-,mts, we believe the following two are -ost relevant.
The first is that the evidence at hand in ,his case is a complex of facts; (a) malignant neoplasms do in fact occur more often than expected, while other
causes of death, with trivial exceptions, do not; (b) the deaths from malignancies which cause this excess are generally in the high exposure groups, and the more stringent the criterion for high exposure the greater the concentration of excess deaths; (c) for one site, digestive can cers, the observations agree with what is known from other evidence. We can measure the statistical significance of each SMR, but we know of no way to put a numerical measure on the significance of the above pattern.
The second is that the interpretation of a non-significant, as opposed to a significant, SMR is not as simple as Reger
implies. There is ample evidence that most employed groups have a lower mortality than the general population, so that there is a question as to what the "expected" SMR should really be There is no problem when the SMR is significantly greater than 100, but when it is not, one enters muddy waters, statistically speaking.
We still believe that we are |ustified in what we consider to be a temperate conclusion from data which are ad mittedly less than overwhelming.
Irving R, Tabershaw, M D William R. Gatfey, Ph O
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Journal of Occupational Medicine/VoL 16, No. 12/December 1974
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