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Comparing Cox Proportional Hazard Model and Some Parametric Proportional Hazard Models for Analyzing the Survival Time of Patients with Cardiovascular Disease in Kebbi State, Nigeria


Authors : Adamu Buba; Altine Muhammad Muhammad; Gambo Musa; Yakubu Aliyu

Volume/Issue : Volume 11 - 2026, Issue 5 - May


Google Scholar : https://tinyurl.com/7rpc225f

Scribd : https://tinyurl.com/mm7tned2

DOI : https://doi.org/10.38124/ijisrt/26May1835

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : In this paper, we compare the results of the survival time of Cardiavascular patients using cox proportional hazard model, Weibull, log-normal, and Gompertz proportional hazard models. The analysis was based on data obtained from seventy eight patients suffering from cardiovascular disease in Federal Teaching Hospital, Birnin Kebbi, Kebbi State Nigeria. Information from these patients were obtained between 2020 to 2024. The log rank test was applied to compare between the survival curves of the patients based on their gender and other type of diseases (diabetes and hypertension). The results of the log rank test showed that, the survival time of the patients did not differ significantly based on gender, and patients with diabetes and those without diabetes. On the other hand, there is statistical significant difference between patients with hypertension and patients without hypertension. The data was then analyzed using the aforementioned survival models. To determine the best models, Akaike Information Criteria and Bayesian Information Criteria were used. The results of the study revealed that the cox proportional hazard model is more efficient in fitting the survival information. Finally, different cox proportional hazard models with interaction were fitted and likelihood ratio test was used to determine the most efficient model.

Keywords : Survival Models, Cox Proportional Hazard Model, Cardiovascular Disease, Log Rank Test, Parametric Proportional Hazard Models.

References :

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In this paper, we compare the results of the survival time of Cardiavascular patients using cox proportional hazard model, Weibull, log-normal, and Gompertz proportional hazard models. The analysis was based on data obtained from seventy eight patients suffering from cardiovascular disease in Federal Teaching Hospital, Birnin Kebbi, Kebbi State Nigeria. Information from these patients were obtained between 2020 to 2024. The log rank test was applied to compare between the survival curves of the patients based on their gender and other type of diseases (diabetes and hypertension). The results of the log rank test showed that, the survival time of the patients did not differ significantly based on gender, and patients with diabetes and those without diabetes. On the other hand, there is statistical significant difference between patients with hypertension and patients without hypertension. The data was then analyzed using the aforementioned survival models. To determine the best models, Akaike Information Criteria and Bayesian Information Criteria were used. The results of the study revealed that the cox proportional hazard model is more efficient in fitting the survival information. Finally, different cox proportional hazard models with interaction were fitted and likelihood ratio test was used to determine the most efficient model.

Keywords : Survival Models, Cox Proportional Hazard Model, Cardiovascular Disease, Log Rank Test, Parametric Proportional Hazard Models.

Paper Submission Last Date
30 - June - 2026

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