Bootstrap-based maximum multivariate CUSUM control chart. Issue 1 (2nd January 2020)

• Record Type: Journal Article
• Authors: Khusna, Hidayatul; Mashuri, Muhammad; Ahsan, Muhammad; Suhartono, Suhartono; Prastyo, Dedy Dwi
• Is Part Of: Quality technology & quantitative management. Volume 17:Issue 1(2020)
• Page Start: 52
• Page End: 74
• Publication Date: 2020-01-02
• Subjects: Average run length -- bootstrap -- maximum multivariate CUSUM -- reference value -- single control chart; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2018.1535765
• Languages: English
• ISSNs: 1684-3703

Abstract

ABSTRACT: Maximum multivariate cumulative sum (Max-MCUSUM) is one of the single control charts that plot single statistic as a representation of mean vector and covariance matrix. The Max-MCUSUM statistic has unknown specific distribution. The objective of this paper is to propose bootstrap-based Max-MCUSUM control chart for which reference value is predetermined in Phase I monitoring process. For various numbers of quality characteristics and correlation coefficients, the control limits estimated using bootstrap approach are presented in this paper. Furthermore, the average run lengths of bootstrap-based Max-MCUSUM control chart prove that the proposed control chart tends to be effective for monitoring the small shift in both mean and variance of a process. The illustrative examples are provided to demonstrate the applications of the proposed control chart for both simulation and real data.