Dealing with death when studying disease or physiological marker: the stochastic system approach to causality

AbstractThe stochastic system approach to causality is applied to situations where the risk of death is not negligible. This approach grounds causality on physical laws, distinguishes system and observation and represents the system by multivariate stochastic processes. The particular role of death is highlighted, and it is shown that local influences must be defined on the random horizon of time of death. We particularly study the problem of estimating the effect of a factorV on a process of interestY, taking death into account. We unify the cases whereY is a counting process (describing an event) and the case whereY is quantitative; we examine the case of observations in continuous and discrete time and we study the issue of whether the mechanism leading to incomplete data can be ignored. Finally, we give an example of a situation where we are interested in estimating the effect of a factor (blood pressure) on cognitive ability in elderly.
Source: Lifetime Data Analysis - Category: Statistics Source Type: research