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Age‐specific prevalence and years of healthy life in a system with three health states
Author(s) -
Diehr Paula,
Yanez David,
Derleth Ann,
Newman Anne B.
Publication year - 2007
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.3056
Subject(s) - standard error , statistics , table (database) , survival function , medicine , demography , longitudinal data , mathematics , survival analysis , computer science , data mining , sociology
Consider a 3‐state system with one absorbing state, such as Healthy, Sick, and Dead. Over time, the prevalence of the Healthy state will approach an ‘equilibrium’ value that is independent of the initial conditions. We derived this equilibrium prevalence (Prev:Equil) as a function of the local transition probabilities. We then used Prev:Equil to estimate the expected number of years spent in the healthy state over time. This estimate is similar to the one calculated by multi‐state life table methods, and has the advantage of having an associated standard error. In longitudinal data for older adults, the standard error was accurate when a valid survival table was known from other sources, or when the available data set was sufficient to estimate survival accurately. Performance was better with fewer waves of data. If validated in other situations, these estimates of prevalence and years of healthy life (YHL) and their standard errors may be useful when the goal is to compare YHL for different populations. Copyright © 2007 John Wiley & Sons, Ltd.