Multivariate Unit and Group Runs Control Chart to Detect Shifts in the Mean Vector

By : M. P. Gadre, V. C. Kakade

Page No: 38-51

Abstract
In some production processes, observations related to the quality characteristics of the process are independent. Under this set up, we propose the ‘Multivariate Unit and Group Runs control chart for mean vector’ (MV-UGR-M). It is verified that, the MV-UGR-M gives a significant reduction in the out-of-control ‘Average Time to Signal’ (ATS) in the zero state, as well in the steady state as compared to the ‘Multivariate Synthetic control chart for Mean vector’ (MV-Syn-M) chart, the ‘Multivariate Group Runs control chart for Mean vector’ (MV-GR-M) and the ‘Multivariate Modified Group Runs control chart for Mean vector’ (MV-MGR-M) charts.

Authors :
M.P. Gadre
Department of Statistics, Savitribai Phule Pune University, Pune.

V.C. Kakade
Department of Statistics, Tuljaram Chaturchand College, Baramati.

DOI: DOI-https://doi.org/10.32381/IAPQRT.2019.44.01.3