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- Title
Simultaneous Univariate X_bar Charts to Control Bivariate Processes with Autocorrelated Data.
- Authors
Leoni, Roberto Campos; Machado, Marcela Aparecida Guerreiro; Costa, Antonio Fernando Branco
- Abstract
In this article, we consider the simultaneous univariate X_bar charts (SU X_bar charts) for samples of n bivariate observation vectors that are not only cross-correlated but also autocorrelated. The cross-covariance matrix of the sample mean vectors was derived with the assumption that the observations are described by a first-order vector autoregressive model. The combined effect of the cross-correlation and autocorrelation on the performance of the SU X_bar charts is investigated. Depending on the autocorrelations and the nature of the disturbance, affecting only one or both variables, the SU _bar charts perform better with samples of size one than with samples of size two; in same cases even better than with samples of size four. When the two variables are affected by the assignable cause, the simultaneous charts tend to perform better than the T² chart as the autocorrelation and cross-correlation increase.
- Subjects
DATA analysis; DATA corruption; DATA modeling; BIVARIATE analysis; MATHEMATICAL variables
- Publication
Quality & Reliability Engineering International, 2015, Vol 31, Issue 8, p1641
- ISSN
0748-8017
- Publication type
Academic Journal
- DOI
10.1002/qre.1697