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 (r) 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 r control chart is relatively efficient to monitor the simulated and real binary response data with the narrow length of control limits.
Bibliographical noteFunding Information:
J.-M.K. designed the model, analyzed the data and wrote the paper. N.W. formulated the conceptual framework, designed the model, obtained inference and wrote the paper. Y.L. formulated the conceptual framework, designed the model, obtained inference and wrote the paper. K. P analyzed the data and provided editorial supports. All the authors cooperated to revise the paper. All authors have read and agreed to the published version of the manuscript. This research was funded by National Natural Science Foundation of China Grant (No. 71672182, No. U1604262 and No. U1904211).
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- Binary data
- Residual Control Chart