Instantaneous geometric rates via generalized linear models

Andrea Discacciati () and Matteo Bottai ()
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Andrea Discacciati: Karolinska Institutet
Matteo Bottai: Karolinska Institutet

Stata Journal, 2017, vol. 17, issue 2, 358-371

Abstract: The instantaneous geometric rate represents the instantaneous proba- bility of an event of interest per unit of time. In this article, we propose a method to model the effect of covariates on the instantaneous geometric rate with two mod- els: the proportional instantaneous geometric rate model and the proportional instantaneous geometric odds model. We show that these models can be fit within the generalized linear model framework by using two nonstandard link functions that we implement in the user-defined link programs log igr and logit igr. We illustrate how to fit these models and how to interpret the results with an exam- ple from a randomized clinical trial on survival in patients with metastatic renal carcinoma. Copyright 2017 by StataCorp LP.

Keywords: log igr; logit igr; instantaneous geometric rate; generalized linear models; glm; survival analysis (search for similar items in EconPapers)
Date: 2017
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