Geronimus et al. find support for the weathering hypothesis in a
perceived increase in the racial disparity in allostatic load over the
life course.1 That racial disparities in the consequences of stress
would increase over time seems entirely plausible. Possibly the effects
sizes of the difference between average allostatic loads of blacks and
whites might show an increase with age.
But the use of a dichotomized measure in the manner employed in this
study has methodological problems. In general, relative differences in
experiencing an outcome tend to increase (while relative differences in
avoiding the outcome tend to decline) as the outcome grows more prevalent,
solely for reasons related to the shape of the risk distributions of each
group.2,3 Such tendency makes it difficult to discern whether disparities
are increasing with age in any meaningful sense with respect to an
outcome, like having an allostatic load of 4 or greater, that grows more
prevalent with age. That is, a true tendency for disparities in high
allostatic load levels to increase with age – such as might be reflected
in increasing effects sizes – may not be sufficient to outweigh the
statistical tendency for the disparity in rates of exceeding a certain
allostatic load level to decline simply because allostatic loads increase
with age.
The Geronimus study seems nevertheless to find that the relative
black-white differences are increasing with age. But this seeming
increase is a consequence of the use of odds ratios in circumstances where
an outcome is sufficiently prevalent that relative odds do not approximate
relative risks. The underlying rates of having allostatic levels of 4 or
greater shown in parentheses in Geronimus’s Table 1 make clear that, while
for each gender the black-white ratio of the odds of having an allostatic
load of 4 or greater is highest for the oldest age group, the black-white
relative risk of having such an allostatic load is lowest for that group.
Similar interpretative issues are involved with the adjusted figures.
The same parenthetical figures also make clear that the relative risk
of having allostatic levels below 4 is highest in the oldest age group.
The fact that one reaches opposite conclusions about whether the size of
the relative difference increases with age depending on whether one
examines the rates of experiencing the outcome or the rates of avoiding
the outcome highlights the difficulties in interpreting health disparity
patterns using dichotomous measures.
It warrants note that some commentators prefer odds ratios precisely
because, unlike relative risks, odds ratios show the same proportionate
difference whether one examines the presence or absence of an outcome.4,5
However, like the relative risks of experiencing or avoiding an outcome,
odds ratio tend to change systematically as an outcome grows more or less
prevalent regardless of whether there is a meaningful change in the
relative situation of two groups.6,7 Thus, odds ratios do not provide an
effective means of identifying differences between the relative situations
of blacks and whites in different age groups that are not simply the
consequence of greater prevalence of an outcome among the older age
groups. Hence, where, as in the case of allostatic load, comparisons of
the size of disparities can be measured by continuous measures rather than
dichotomous measures, use of the continuous measure seems the preferred
approach.
1. Geronimus A, Hicken M, Keene D, and Bound J. Weathering and Age
Patterns of Allostatic Load Scores Among Blacks and Whites in the United
States. Am J Public Health. 2006;96:XXX-XXX.
2. Scanlan JP. Race and Mortality. Society. 2000;37:19-35.
3. Scanlan JP. Divining difference. Chance. 1994;7(4):38-9, 48.
4. Gastwirth J. Statistical reasoning in law and public policy
(Vol. 1). Boston: Academic Press, 1988.
5. Cornfield J. A method of estimating comparative rates from
clinical data. Applications to cancer of the lung, breast and cervix. J
Nat Cancer Inst. 1951; 11: 1269 75.
6. Scanlan JP. Can we actually measure health disparities? Chance.
2006:19(_): ____ (in press).
7. Scanlan JP. The perils of provocative statistics. The Public
Interest. 1991;102:3 14.