Robust Principal Component Regression with Wild Bootstrap for Handling Outliers, Multicollinearity, and Heteroskedasticity in Chronic Hepatitis B Data

This study aims to analyze the performance of the Robust Principal Component (RPC) method combined with Wild Bootstrap in handling outliers, multicollinearity, and heteroskedasticity in chronic hepatitis B data. The data were obtained from the World Health Organization (WHO) and consist of several epidemiological indicators. The analysis methods include Principal Component Analysis (PCA), Least Trimmed Squares (LTS), and Wild Bootstrap using Wu and Liu multipliers. The results show that the dataset contains outliers, strong multicollinearity, and heteroskedasticity. The RPC-Wild Bootstrap method produces more stable parameter estimates, with RPC Boot Wu showing lower standard error and RMSE compared to RPC Boot Liu. Therefore, the RPC-Wild Bootstrap method is effective in producing more stable and reliable parameter estimates for complex real-world data.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20283563
Primary Topic
Advanced Statistical Methods and Models
Type
article
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article

Robust Principal Component Regression with Wild Bootstrap for Handling Outliers, Multicollinearity, and Heteroskedasticity in Chronic Hepatitis B Data

Joseph Dedek Parhusip1, Nusyirwan2*, Misgiyati3, Netty Herawati4
Zenodo (CERN European Organization for Nuclear Research)
Advanced Statistical Methods and Models
article

Robust Principal Component Regression with Wild Bootstrap for Handling Outliers, Multicollinearity, and Heteroskedasticity in Chronic Hepatitis B Data

Joseph Dedek Parhusip1, Nusyirwan2*, Misgiyati3, Netty Herawati4
article en

Abstract

This study aims to analyze the performance of the Robust Principal Component (RPC) method combined with Wild Bootstrap in handling outliers, multicollinearity, and heteroskedasticity in chronic hepatitis B data. The data were obtained from the World Health Organization (WHO) and consist of several epidemiological indicators. The analysis methods include Principal Component Analysis (PCA), Least Trimmed Squares (LTS), and Wild Bootstrap using Wu and Liu multipliers. The results show that the dataset contains outliers, strong multicollinearity, and heteroskedasticity. The RPC-Wild Bootstrap method produces more stable parameter estimates, with RPC Boot Wu showing lower standard error and RMSE compared to RPC Boot Liu. Therefore, the RPC-Wild Bootstrap method is effective in producing more stable and reliable parameter estimates for complex real-world data.

Zenodo (CERN European Organization for Nuclear Research)
Good health and well-being
Openalex Percentile: Top 3%
Advanced Statistical Methods and Models
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Robust Principal Component Regression with Wild Bootstrap for Handling Outliers, Multicollinearity, and Heteroskedasticity in Chronic Hepatitis B Data — Joseph Dedek Parhusip1, Nusyirwan2*, Misgiyati3, Netty Herawati4 · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS