Residual Control Chart for Binary Response with Multicollinearity Covariates by Neural Network Model

Quality control studies have dealt with symmetrical data having the same shape with respect to left and right. In this research, we propose the residual (<i>r</i>) control chart for binary asymmetrical (non-symmetric) data with multicollinearity between input variables via combining prin...

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Bibliographic Details
Main Authors: Jong-Min Kim, Ning Wang, Yumin Liu, Kayoung Park
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
pca
Online Access:https://www.mdpi.com/2073-8994/12/3/381
Description
Summary:Quality control studies have dealt with symmetrical data having the same shape with respect to left and right. In this research, we propose the residual (<i>r</i>) control chart for binary asymmetrical (non-symmetric) data with multicollinearity between input variables via combining principal component analysis (PCA), functional PCA (FPCA) and the generalized linear model with probit and logit link functions, and neural network regression model. The motivation in this research is that the proposed control chart method can deal with both high-dimensional correlated multivariate data and high frequency functional multivariate data by neural network model and FPCA. We show that the neural network <i>r</i> control chart is relatively efficient to monitor the simulated and real binary response data with the narrow length of control limits.
ISSN:2073-8994