Instantaneous geometric rates via generalized linear models
Abstract. The instantaneous geometric rate represents the instantaneous probability 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
models: 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 example from a randomized clinical trial
on survival in patients with metastatic renal carcinoma.
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Andrea Discacciati, Matteo Bottai
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log_igr, logit_igr, instantaneous geometric rate, generalized linear models, glm, survival analysis
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