Larasati, Siska Diah Ayu and Nisa, Khoirin and Setiawan, Eri (2020) ANALISIS REGRESI KOMPONEN UTAMA ROBUST DENGAN METODE MINIMUM COVARIANCE DETERMINANT – LEAST TRIMMED SQUARE (MCD-LTS). Jurnal Siger Matematika, 1 (1). pp. 1-9. ISSN 2721-5849 (p), 2721-6853(e)

Text PAPER SISKA SIGER LENGKAP.pdf Download (490kB)

Abstract

Principal Component Regression (PCR) is a method used to overcome multicollinearity problems by reducing the dimensions of independent variables to obtain new simpler variables without losing most of the information contained in the variables. If the data analyzed contain outliers, a robust method on PCR is required. In this paper we use a robust method which is a combination of Robust Principal Component Analysis using the Minimum Covariance Determinant (MCD) method and Robust Regression Analysis using Least Trimmed Square (LTS) method. The purpose of this study is to examine the robust PCR analysis using the MCD-LTS method and to know the robustness of the method by looking at its sensitivity to outliers. For this purpose we compared the MCD-LTS PCR to the classic PCR based on the bias and Mean Square Error (MSE) values on several different sample sizes and percentages of outliers. The results of this study indicate that robust PCR using MCD-LTS is effective and efficient in overcoming the problem of multicollinearity and outliers in regression analysis.

Item Type:	Article
Subjects:	H Social Sciences > HA Statistics
Divisions:	Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User:	DR. KHOIRIN NISA
Date Deposited:	28 May 2020 07:19
Last Modified:	28 May 2020 07:19
URI:	http://repository.lppm.unila.ac.id/id/eprint/20857

Available Versions of this Item

• ANALISIS REGRESI KOMPONEN UTAMA ROBUST DENGAN METODE MINIMUM COVARIANCE DETERMINANT – LEAST TRIMMED SQUARE (MCD-LTS). (deposited 04 Nov 2019 08:15)
  • ANALISIS REGRESI KOMPONEN UTAMA ROBUST DENGAN METODE MINIMUM COVARIANCE DETERMINANT – LEAST TRIMMED SQUARE (MCD-LTS). (deposited 26 May 2020 08:59)
    • ANALISIS REGRESI KOMPONEN UTAMA ROBUST DENGAN METODE MINIMUM COVARIANCE DETERMINANT – LEAST TRIMMED SQUARE (MCD-LTS). (deposited 27 May 2020 12:17)
      • ANALISIS REGRESI KOMPONEN UTAMA ROBUST DENGAN METODE MINIMUM COVARIANCE DETERMINANT – LEAST TRIMMED SQUARE (MCD-LTS). (deposited 28 May 2020 07:19) [Currently Displayed]

Actions (login required)

View Item