393: Some Interrelationships among the Regression Coefficient Estimates Arising in a Class of Models Appropriate to Response-Time Data

Publication Description
Interrelationships among three response-time models which incorporate covariate information are explored. The most general of these models is the logistic-exponential in which the log odds of the probability of responding in a fixed interval is assumed to be a linear function of the covariates; this model includes a parameter W for the width of discrete time intervals in which responses occur. As W $\rightarrow$ 0 this model is equivalent to a continuous time exponential model in which the log hazard is linear in the covariates. As W $\rightarrow\infty$ it is equivalent to a continuous time exponential model in which the hazard itself is a linear function of the covariates. This second model was fitted to the data used in an earlier publication describing the logistic exponential model, and very close agreement of the estimates of the regression coefficients is demonstrated.

Primary Author
David P. Byar
Nathan Mantel

Volume
31

Issue
4

Start Page
943

Other Pages
947

Publisher
Biometric Society

URL
https://www.jstor.org/stable/2529819

PMID
1203434



Reference Type
Journal Article

Periodical Full
Biometrics

Publication Year
1975

Publication Date
Dec 1,

ISSN/ISBN
0006-341X

Document Object Index
10.2307/2529819