PERBANDINGAN METODE MCD-BOOTSTRAP DAN LAD-BOOTSTRAP DALAM MENGATASI PENGARUH PENCILAN PADA ANALISIS REGRESI LINEAR BERGANDA

  • NI LUH PUTU RATNA KUMALASARI Faculty of Mathematics and Natural Sciences, Udayana University
  • NI LUH PUTU SUCIPTAWATI Faculty of Mathematics and Natural Sciences, Udayana University
  • MADE SUSILAWATI Faculty of Mathematics and Natural Sciences, Udayana University

Abstract

Outliers are observations that are far away from other observations. Outlier can be interfered with the process of data analysis which influence the regression parameters estimation.  Methods that are able to deal with outliers are Minimum Covariance Determinant and Least Absolute Deviation methods. However, if both methods are applied with small sample the validity of both methods is being questioned. This research applies bootstrap to MCD and LAD methods to small sample. Resampling using 500, 750,and 1000 with confidence interval of 95% and 99% shows that both methods produce an unbiased estimators at 10%, 15%, and 20% outliers. The confidence interval of MCD-Bootstrap method is shorter than  LAD-Bootstrap method. Both are, MCD-Bootstrap method is a better thus than LAD-Bootstrap method.

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Author Biographies

NI LUH PUTU RATNA KUMALASARI, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

NI LUH PUTU SUCIPTAWATI, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

MADE SUSILAWATI, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Published
2017-01-20
How to Cite
KUMALASARI, NI LUH PUTU RATNA; SUCIPTAWATI, NI LUH PUTU; SUSILAWATI, MADE. PERBANDINGAN METODE MCD-BOOTSTRAP DAN LAD-BOOTSTRAP DALAM MENGATASI PENGARUH PENCILAN PADA ANALISIS REGRESI LINEAR BERGANDA. E-Jurnal Matematika, [S.l.], v. 6, n. 1, p. 47-55, jan. 2017. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/27181>. Date accessed: 05 nov. 2024. doi: https://doi.org/10.24843/MTK.2017.v06.i01.p147.
Section
Articles

Keywords

Bootstrap; Least Absolute Deviation (LAD); Minimum Covariance Determinant (MCD); Outliers

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