Work

TheT2chart with mixed samples to control bivariate autocorrelated processes

Year: 2015

Type: article

Abstract: In this paper, we propose the use of the T2 chart with the mixed sampling strategy (MS) to monitor the mean vector of bivariate processes with observations that fit to a first-order vector autoregressive model. With the MS, rational subgroups of size n are taken from the process and the selected units are regrouped to form the mixed samples. The units of the mixed samples are units selected from the last two rational subgroups. The aim of the proposed sampling strategy is to reduce the negative effect of the autocorrelation on the performance of the T2 chart. When the two variables are autocorrelated, the MS always enhances the T2 chart performance, however, the mixed samples are not recommended for bivariate processes with only one autocorrelated variable which is rarely affected by the assignable cause.

Source: International Journal of Production Research

DOI: 10.1080/00207543.2015.1102983

Authors: Roberto Campos Leoni, Marcela Aparecida Guerreiro Machado, Antonio Fernando Branco Costa

Institution: Universidade Estadual Paulista (Unesp)

Language: English

Topic: Advanced Statistical Process Monitoring

Subfield: Statistics, Probability and Uncertainty

Field: Decision Sciences

Domain: Social Sciences

Open Access status: green

Funder: Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: G4865710524, G6688064483