Generalized contribution plots in multivariate statistical process monitoring

This paper discusses contribution plots for both the D-statistic and the Q-statistic in multivariate statistical process control of batch processes. Contributions of process variables to the D-statistic are generalized to any type of latent variable model with or without orthogonality constraints. T...

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Bibliographic Details
Published in:Chemometrics and intelligent laboratory systems 2000-05, Vol.51 (1), p.95-114
Main Authors: Westerhuis, Johan A., Gurden, Stephen P., Smilde, Age K.
Format: Article
Language:English
Subjects:
Contribution plots
Control limits
D-statistic
Q-statistic
Statistical process control
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Summary:This paper discusses contribution plots for both the D-statistic and the Q-statistic in multivariate statistical process control of batch processes. Contributions of process variables to the D-statistic are generalized to any type of latent variable model with or without orthogonality constraints. The calculation of contributions to the Q-statistic is discussed. Control limits for both types of contributions are introduced to show the relative importance of a contribution compared to the contributions of the corresponding process variables in the batches obtained under normal operating conditions. The contributions are introduced for off-line monitoring of batch processes, but can easily be extended to on-line monitoring and to continuous processes, as is shown in this paper.
ISSN:0169-7439
1873-3239
DOI:10.1016/S0169-7439(00)00062-9