A Logistic-Exponential Model for Use with Response-Time Data Involving Regressor Variables
Max H. Myers, Benjamin F. Hankey, Nathan Mantel · Biometrics · 1973
SUMMARY A mathematical model utilizing the geometric distribution for analyzing time-toresponse data is described. This model takes into account concomitant information by means of a multivariate logistic function. A parameter introduced into the model to make the regression estimates independent of choice of time scale also serves as a model specification parameter. Allowing this parameter to take on its limiting values of zero and infinity results in two distinct exponential models involving regressor variables as described by other authors. Data on advanced breast cancer are used to illustrate the usefulness of this model in examining the relationship of sites of involvement and disease-free interval to survival subsequent to diagnosis of dissemination. The basic data are presented so that they may be available for illustrating and testing alternative statistical procedures.