Artículo
Assessment of the effect of imputation of missing values on the performance of Phase II multivariate control charts
Fecha de publicación:
06/2021
Editorial:
John Wiley & Sons Ltd
Revista:
Quality And Reliability Engineering International
ISSN:
0748-8017
e-ISSN:
1099-1638
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Observations with missing data are a typical predicament in the context of multivariate statistical process control (MSPC). When process control is performed using a (Formula presented.) control chart of the principal components (PCs), several score imputation methods have been proposed. Some of these lead to estimators with good properties. However, there are no detailed studies pertaining the performance of Phase II Hotelling's (Formula presented.) and squared prediction error (SPE) charts when such imputation methods are used. In this paper, a simulation study was conducted to assess the consequences of the estimation of incomplete observations using score imputation methods on (Formula presented.) and SPE control charts. The study involves several scenarios that combine different correlation structures for the PCA model, methods of score estimation, percentages of missing data and patterns of incomplete information. Results show that the charts' standard control limits are adequate only for small percentages of missing values and that their average run lengths (ARLs) tend to be larger than expected in out-of-control situations. To illustrate the conclusions of the study, we present two examples. Our findings lead us to suggest a modification that may result in an improvement in the performance of the (Formula presented.) and SPE control charts.
Palabras clave:
HOTELLING'S T2
,
IMPUTATION
,
MISSING DATA
,
MSPC
,
PCA
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Articulos(CCT - ROSARIO)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Citación
Fernandez, Julia Ines; Pagura, José Alberto; Quaglino, Marta Beatriz; Assessment of the effect of imputation of missing values on the performance of Phase II multivariate control charts; John Wiley & Sons Ltd; Quality And Reliability Engineering International; 37; 4; 6-2021; 1664-1677
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