Pendekatan Ukuran R2 Kuadrat Devians Pada Model Regresi Poisson (Aplikasi Pada Data Maternal Mortality Di Jawa Timur)

Darnah, Darnah (2009) Pendekatan Ukuran R2 Kuadrat Devians Pada Model Regresi Poisson (Aplikasi Pada Data Maternal Mortality Di Jawa Timur). Masters thesis, Institut Teknologi Sepuluh November.

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Abstract

Analisis regresi merupakan analisis statistika yang bertujuan untuk memodelkan hubungan antara variabel respon dengan sejumlah variabel prediktor. Apabila variabel respon berdistribusi Poisson, maka model regresi yang digunakan adalah regresi Poisson. Salah satu kriteria penentuan model terbaik dalam regresi Poisson adalah dengan menggunakan ukuran R² atau koefisien determinasi. Ukuran R² dalam regresi Poisson ada tiga, yaitu R² berdasarkan sekumpulan residual, R² berdasarkan residual Pearson, dan R² berdasarkan residual devians (R²DEV). Penelitian ini mengkaji tentang ukuran R²DEV, untuk memperoleh model terbaik. Ukuran R²DEV tersebut kemudian diaplikasikan pada data jumlah maternal mortality di tiap kabupaten/kota di Jawa Timur pada tahun 2003. Dari hasil analisis diperoleh bahwa faktor-faktor yang mempengaruhi jumlah maternal mortality di tiap kabupaten/kota di Jawa Timur pada tahun 2003 adalah rata-rata pengeluaran biaya kesehatan perkapita sebulan, persentase penduduk miskin, dan jumlah tenaga medis dan paramedis.
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Regression analysis is statistical analysis which aim to model the relationship between the respon variables and a set of predictor variables. If the respon variables have a Poisson distribution, then the model of regression that will be used is Poisson regression. One of criterions that will used to determine the best model in Poisson regression is R² measures or determination coefficients. There are three R² measures in Poisson regression models which are R² measures based on raw residual, R² measures based on Pearson residuals and R² measures based on deviance residuals (R²DEV). This research examined R² measures for Poisson regression models based on deviance residuals (R²DEV) to determine the best models. R²DEV was applicated on data of maternal mortality at East Java on 2003. Poisson regression models shows that the variables which affect to maternal mortality at East Java on 2003 is average of expenditure of health expense per capita per month, persentage of poor people, and number of nurses.

Item Type:	Thesis (Masters)
Additional Information:	519.536 Dar p
Uncontrolled Keywords:	Maternal Mortality, Model Regresi Poisson, Residual Devians, Ukuran R2, Deviance Residuals, R2 measures. Maternal Mortality, Poisson Regression Models.
Subjects:	Q Science > QA Mathematics > QA278.2 Regression Analysis. Logistic regression
Divisions:	Faculty of Mathematics and Science > Statistics > 49101-(S2) Master Thesis
Depositing User:	magang .
Date Deposited:	02 Oct 2026 01:25
Last Modified:	02 Oct 2026 01:25
URI:	http://repository.its.ac.id/id/eprint/145149

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