relation: https://digilib.uin-suka.ac.id/id/eprint/79783/
title: ANALISIS DISKRIMINAN KUADRATIK ROBUST DENGAN ESTIMATOR MINIMUM COVARIANCE DETERMINANT (MCD)
creator: Fernanda Devita Sukma, NIM.: 22106010083
subject: 515.6 Metode Analitik - Matematika
description: Disparities in poverty levels among regencies/cities in East Java Province require a  classification method capable of accurately grouping regions to support the  formulation of appropriately targeted policies. Quadratic Discriminant Analysis  (QDA) is a multivariate classification method that accommodates differences in  covariance matrices among groups; however, its parameter estimation is sensitive  to the presence of outliers. This study aims to compare the classification  performance of classical QDA and robust QDA using the Minimum Covariance  Determinant (MCD) estimator in classifying the poverty levels of 38  regencies/cities in East Java Province in 2024 based on five socioeconomic  indicators. The analysis consisted of multivariate normality testing using the  Henze–Zirkler test, outlier detection using Mahalanobis distance, construction of  classical QDA and QDA Robust-MCD models, and model evaluation using the  Apparent Error Rate (APER) and classification accuracy. The results showed that  the data did not satisfy the multivariate normality assumption, and three outlier  observations were identified among the 38 regencies/cities analyzed. Classical  QDA achieved a classification accuracy of 78.95% with an APER of 0.2105,  whereas QDA Robust-MCD achieved an accuracy of 71.05% with an APER of  0.2895. The comparison results indicate that classical QDA provided better  classification performance than QDA Robust-MCD based on both classification  accuracy and APER. Thus, for the data analyzed in this study, the use of the MCD  estimator did not result in improved classification performance compared with  classical QDA.
date: 2026-08-13
type: Thesis
type: NonPeerReviewed
format: text
language: id
identifier: https://digilib.uin-suka.ac.id/id/eprint/79783/1/22106010083_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf
format: text
language: id
identifier: https://digilib.uin-suka.ac.id/id/eprint/79783/2/22106010083_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf
identifier:   Fernanda Devita Sukma, NIM.: 22106010083  (2026) ANALISIS DISKRIMINAN KUADRATIK ROBUST DENGAN ESTIMATOR MINIMUM COVARIANCE DETERMINANT (MCD).  Skripsi thesis, UIN SUNAN KALIJAGA YOGYAKARTA.