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Modeling the rate of HIV testing from repeated binary data amidst potential never-testers
John D Rice1, Brent A Johnson2, Robert L Strawderman2
1University of Rochester Medical Center, Biostatistics and Computational Biology, 265 Crittenden Blvd., Box 630, Rochester, NY 14642, USA.
This study introduces a new statistical model for analyzing event rates in longitudinal data, particularly for identifying "never-responders." The model found that SMS follow-up messages reduced human immunodeficiency virus (HIV) self-testing rates among men who have sex with men (MSM).
Area of Science:
- Biostatistics
- Epidemiology
- Public Health
Background:
- Longitudinal studies with binary outcomes often have subjects with homogeneous response profiles.
- Conventional methods struggle with event rate analysis and identifying
- never-responder
- groups.
Purpose of the Study:
- To develop a statistical model for analyzing event rates in longitudinal data, accounting for a
- never-responder
- group.
Main Methods:
- Proposed a model using a continuous-time stochastic process with Poisson events conditional on unobserved frailty.
- Utilized the power variance function (PVF) frailty distribution family.
- Generalized a computational algorithm for exact marginal likelihood estimation.
Main Results:
- The proposed PVF frailty model was compared to Gaussian random intercept and discrete mixture models.
- Simulation studies explored the performance of the new method.
- Analysis of human immunodeficiency virus (HIV) self-testing data in men who have sex with men (MSM) indicated a lower self-testing rate in the SMS follow-up group.
Conclusions:
- The PVF frailty model effectively analyzes event rates and identifies
- never-responder
- groups.
- SMS follow-up messages were associated with a significantly lower rate of HIV self-testing.
- No evidence of a
- never-tester
- group was found in the motivating data.
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