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Yuki Novia Nasution
Laboratorium Matematika Komputasi Jurusan Matematika FMIPA Universitas Mulawarman
Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Other

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Analisis Survival Data Kejadian Bersama dengan Pendekatan Efron Partial Likelihood Santi Prabawati; Yuki Novia Nasution; Sri Wahyuningsih
EKSPONENSIAL Vol 9 No 1 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (751.87 KB)

Abstract

Survival analysis is a statistical procedure used to analyze data related to survival time, from the defined time origin until the occurrence of certain events. In the survival analysis, sometimes ties are found, in which two or more individuals experience the same event at the same time. There are three widely used methods to treat ties in survival analysis, that is Exact method, Breslow approach, and Efron approach. Efron's approach has a simple, fast, and accurate calculation especially when the data contains many ties. The purpose of this study is to find out the Cox proportional hazard data ties model using Efron partial likelihood approach and to know the variables that affect the graduation time of student of Faculty of Mathematics and Natural Sciences of Mulawarman University class of 2011 that graduated until February 28, 2017. The variables are Gender, home area, funding sources, and GPA. Based on the results of the analysis that has been done with the help of software R, it is obtained that the variables that have significant effect are gender and GPA. For the gender variables it was concluded that female students had a chance of 1,362 times to graduate faster than male students. While for the GPA variable it is concluded that each addition of GPA of 0.1, then the student's chance to graduate faster will increase by 1,225 times.
Model Cox Proportional Hazard Pada Kejadian Bersama (Ties) dengan Metode Breslow Nazmi Soraya; Yuki Novia Nasution; Sri Wahyuningsih
EKSPONENSIAL Vol 9 No 1 (2018)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (770.285 KB)

Abstract

Cox proportional hazard model at the tied incident is a modification from Cox model while there are two or more individual that experienced tied. Parameter estimation in procedure formation of cox generally uses maximum partial likelihood estimation (MPLE) that maximised the function of partial likelihood. In incident with ties case, the modification at partial likelihood is done with breslow approach. The data used in this research were Dengue Hemorrhagic Fever patients (DHF) who were hospitalized at Dirgahayu Hospital Samarinda from July 2016 until June 2017. There are 100 patients with 5 independent variables that are suspected to affect the healing of Dengue Hemorrhagic Fever (DHF) patients, namely sex, age, platelet count, hematocrit count, and duration of fever before hospitalized. From the calculation of data used R 2.11.1 software, Cox proportional hazard model using Breslow method, it is obtained that significant variable, are the count of platelets and hematocrit, and the duration of fever before hospitalized, patient who had normal platelet count had a chance of healing 2.359 times faster than patients had a thrombocytopenia (low platelet). For the amount of heamatocrit each patient who had a normal hematocrit had a chance of healing 2.364 times faster than patients who had under-normal hematocrit, and each one day addition to duration of patient's long history fever before hospitalized, decreased the chance of healing by 0.849 times.
Co-Authors Nazmi Soraya Santi Prabawati Sri Wahyuningsih