Bandung Conference Series: Statistics
Vol. 3 No. 2 (2023): Bandung Conference Series: Statistics

Pengujian pada Regresi Ridge dan Penerapannya terhadap Data Produk Domestik Regional Bruto Provinsi Jawa Barat

Weni Nuryati (Prodi Statistika, Fakultas MIPA, Universitas Islam Bandung)
Suliadi Suliadi (Unknown)



Article Info

Publish Date
02 Aug 2023

Abstract

Abstract. Ridge regression is one of the methods used to stabilize the value of the regression coefficient caused by multicollinearity. In ridge regression, to reduce the impact of multicollinearity is carried out by adding ridge parameter c to the hat matrix. This ridge parameter makes the regression coefficients have a smaller variance than the least squares method estimator variance. However, the ridge estimates are biased. Thus, hypothesis testing using the usual method cannot be applied to the coefficients ridge regression. Therefore Bae, et al., (2014) developed a method for testing the hypothesis of the coefficients of ridge regression. This thesis aims to apply this method to the gross regional domestic product data for West Java province in 2022. Based on the results of the research, it shows that there is a multicollinearity problem in the data, so it is modelLed using ridge regression. it was obtained The ridge regression model : . From the results of testing the hypothesis, it can be concluded that the independent variables, namely local original income (X1), general allocation funds (X2), profit sharing funds (X3), regional expenditures (X4) and labor (X5) together have a significant effect on the PDRB (Y) of West Java Province in 2022. The ridge regression model is returned to the original model . Abstract. Ridge regression is one of the methods used to stabilize the value of the regression coefficient caused by multicollinearity. In ridge regression, to reduce the impact of multicollinearity is carried out by adding ridge parameter c to the hat matrix. This ridge parameter makes the regression coefficients have a smaller variance than the least squares method estimator variance. However, the ridge estimates are biased. Thus, hypothesis testing using the usual method cannot be applied to the coefficients ridge regression. Therefore Bae, et al., (2014) developed a method for testing the hypothesis of the coefficients of ridge regression. This thesis aims to apply this method to the gross regional domestic product data for West Java province in 2022. Based on the results of the research, it shows that there is a multicollinearity problem in the data, so it is modelLed using ridge regression. it was obtained The ridge regression model : . From the results of testing the hypothesis, it can be concluded that the independent variables, namely local original income (X1), general allocation funds (X2), profit sharing funds (X3), regional expenditures (X4) and labor (X5) together have a significant effect on the PDRB (Y) of West Java Province in 2022. The ridge regression model is returned to the original model .

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Journal Info

Abbrev

BCSS

Publisher

Subject

Decision Sciences, Operations Research & Management Education Mathematics

Description

Bandung Conference Series: Statistics (BCSS) menerbitkan artikel penelitian akademik tentang kajian teoritis dan terapan serta berfokus pada Statistika dengan ruang lingkup sebagai berikut: Alternating Least Square, Analisis Konjoin, Autoregressive, Auxiliary Variabel, Baby Birth, Block Maxima, ...