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Normal control charts with nonparametric safeguard
Author(s) -
Albers Willem,
Kallenberg Wilbert C. M.
Publication year - 2009
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.2008.00409.x
Subject(s) - nonparametric statistics , control chart , chart , normality , shewhart individuals control chart , statistics , x bar chart , computer science , mathematics , econometrics , control limits , ewma chart , process (computing) , operating system
Parameter estimation causes a considerable stochastic error in standard Shewhart charts. This problem can be solved using suitable correction factors. However, if the normality assumption itself fails, in addition a non‐vanishing model error occurs. By then, a nonparametric alternative, such as the recently proposed MIN chart, might be a better idea throughout. However, for those reluctant to give up on the Shewhart chart, a third possibility is offered here. One sticks with this traditional chart as long as the data suggest that the resulting model error is acceptable. Only if this is not the case, the MIN chart kicks in and as such serves as a nonparametric safeguard.