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Methodology The basic steps in computing an individual's life table are fairly simple:
In general there is no fully satisfactory answer. The answer ultimately depends on:
It is not feasible to cover all the possible combinations of risk factors in a computer program, and the user is encouraged to input various scenarios so as to obtain a plausible range of life expectancies. In the software we have followed the widespread actuarial practice of simply adding the EDRs, which is probably a suitable default option.
Smoking, Race and Education This trio of factors deserves separate consideration here. They need to be considered simultaneously because they are strongly interrelated. For example, college educated persons are much less likely to smoke than persons with high school education or less, and the college educated include much lower proportions of Hispanics and Blacks (Richards & Abele 1999, pp. 38 and 43). Thus if, for instance, the increased mortality associated with smoking and with low education were simply added there would be some double counting. Each of the three factors is related to mortality. Smoking results in a substantial increase in death rates, as has been documented by a large research literature (see summaries in Singer 1976, pp.38-40, and Lew & Gajewski 1990, pp.3-7 to 3-11). Mortality rates also vary by race, the difference being sufficient that the National Center for Health Statistics (NCHS) publishes race-specific life tables (NCHS 1997, Anderson 1999). Finally, it has been shown that mortality rates differ according to education level, the most educated groups having the lowest mortality rates (Richards & Barry 1999). This is not surprising because education often serves as a proxy for socioeconomic status. There do not seem to be published tables on the "three way interaction" -- i.e., broken down by smoking, education and race simultaneously (for each age and sex). Some assumption must therefore be made. The most plausible appears to be that race and smoking have independent effects once education is controlled for. Under this assumption the appropriate procedure is to make adjustments for race and education simultaneously, then for smoking and education simultaneously, and to combine the two adjustments. This procedure has been followed here. 1. Smoking and Education In the current version of the software, three smoking categories are recognized: current smokers, former smokers, and never smokers. This grouping is often used by insurance company underwriters. Educational categories are: less than high school, high school diploma, some college, college graduate, and graduate school. a. Both smoking and educational level known. The relative risk for current, former and never smokers were obtained from page 39 of Richards & Abele (1999). These risks were relative to mortality rates for all persons of a given educational level, as provided on pages 145-146. The relative risks were then converted to excess death rates (EDRs). b. Smoking status known, educational level unknown. Age- and sex-specific relative risks (RRs) for current and former smokers were obtained from Richards & Abele (1999, p. 37). These RRs are relative to mortality rates for the never smokers. The relative risks determine the mortality rates for each smoking category, except for an unknown multiplying factor. The latter is determined from the fact that the average mortality over the 3 smoking categories, weighted by the proportion of persons in each category, is the known overall mortality rate. Age-, sex- and smoking-specific mortality rates were thus obtained. The EDRs were computed as the difference between these rates and those of the United States general population of the same age and sex. c. Smoking status unknown. The EDRs for the effect of smoking are taken to be zero. The effect of education, if known, is addressed below in Race & Education. 2. Race and Education Four race groups were used: White, Black, Hispanic and Other. a. Both race and educational level known. Age-, sex-, race- and education-specific mortality probabilities were obtained from pages 147-151 of Richards & Abele (1999). These were converted to mortality rates as using methods described in the life table section. Data was not provided for ages over 84, so an adjustment was necessary: excess death rates for a given race or educational level (with the other factor held constant) were obtained, and jointly added to the sex-specific general population mortality rates for ages 85 and older. EDRs were computed as the difference between these rates and those of the United States general population of the same age and sex. b. Race known, educational level unknown. Age- and sex-specific mortality rates by race were obtained as follows:
EDRs were then computed as the difference between these rates and those of the United States general population of the same age and sex. c. Race unknown, education known. Mortality probabilities on pages 145 and 146 of Richards & Abele (1999) were converted to mortality rates using methods described in the life table section. Data was not provided for ages over 84, so the procedure described above was followed. EDRs were computed as the difference between these rates and those of the United States general population of the same age and sex. d. Race unknown, education unknown. These mortality rates are given by the National Center For Health Statistics (Anderson 1999). As there is no race or education effect to consider, the EDRs are equal to zero. References Anderson RN (1999). United States life tables, 1997. National vital statistics reports; vol 47 no 28. Hyattsville, Maryland: National Center for Health Statistics.Lew EA, Gajewski (Eds.) (1990). Medical risks: Trends in mortality by use and time elapsed. New York: Praeger. National Center For Health Statistics (1997). U.S. decennial life tables for 1989-1991, volume 1, number 1. Hyattsville, Maryland: Author. Richard H, Barry R (1998). U.S. life tables for 1990 by sex, race, and education. Journal of Forensic Economics, 11:9-26. Richards H, Abele JR (1999). Life and worklife expectancies. Tucson: Lawyers & Judges. Singer RB (Ed.) (1976). Medical risks: Patterns of mortality and survival. Lexington, Massachusetts: Lexington Books. Schoen R (1988). Modeling multigroup populations, chapter 1. New York: Plenum Press. U.S. Department of Commerce (1993). 1990 Census of Population. Persons of Hispanic Origin in the United States, 1990 CP-3-3.
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