Please use this identifier to cite or link to this item: https://hdl.handle.net/10321/5425
Title: The performances of the Cox, Andersen-Gill, Prentice- Williams-Peterson-total time and Wei-Lin-Weissfeld- total-time models in Identifying risk factors in patients with recurrent diseases : a kidney infections example
Authors: Mbona, Sizwe Vincent 
Ananth, Anisha 
Mzamane, Tsepang Patrick 
Ndlovu, Bonginkosi, Duncan 
Keywords: Andersen-Gill model;Prentice-Williams-Peterson-total-time model;Wei-Lin-Weissfeld-total time model;Cox frailty model;Recurrent disease
Issue Date: 19-Jul-2024
Source: Mbona, S.V. et al. 2024. The performances of the Cox, Andersen-Gill, Prentice- Williams-Peterson-total time and Wei-Lin-Weissfeld- total-time models in identifying risk factors in patients with recurrent diseases: a kidney infections example. International Journal of Science, Mathematics and Technology Learning, 31(1): 721-731.
Journal: International Journal of Science, Mathematics and Technology Learning; Vol. 31, Issue 1 
Abstract: 
In many longitudinal studies, when subjects are followed over a period of time, recurrent event
frequently occur. However, some analysis focusses only on time to the first event, ignoring the
subsequent events. The main objective of this paper was to compare the extended standard Cox models,
such as Andersen-Gill (AG), Prentice-Williams-Peterson total time (PWP-TT), PWP-Gap time model, Wei
Lin-Weissfeld total time (WLW-TT), and Cox frailty model, to identify risk factors associated with kidney
re-infection. Empirical evaluation and comparison of these different models were performed. The better
model was assessed based on the goodness of fit criteria (AIC, BIC and likelihood ratio test). Kidney data
that was downloaded from the R statistical software using the command data(“kidney”) was used to
perform analyses in this study. The PWP-TT model had lower standard errors, AIC and BIC values
compared to other models, therefore fitted data better and was used to interpret results. The results
showed that 81% (HR = 0.19; 95% CI: 0.09-0.39) of the female patients were less likely to experience
kidney reinfection than male patients. The risk of recurrent kidney infection was significantly high (HR =
2.32; 95% CI: 1.25-4.29) to patients having an Acute Neptiritis (AN) disease compared to patients with
other diseases. While the prevalence of kidney infection remains the public health problem, intervention
strategies and awareness campaigned are needed to in order to minimize risk factors behind the
recurrent of the disease.
URI: https://hdl.handle.net/10321/5425
ISSN: 2327-7971 (Print)
DOI: 2327-915X (Online)
Appears in Collections:Research Publications (Applied Sciences)

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