This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 475
Type: Contributed
Date/Time: Wednesday, August 4, 2010 : 8:30 AM to 10:20 AM
Sponsor: Section on Quality and Productivity
Abstract - #306635
Title: Comparisons of Estimators of Process Standard Deviation in Constructing Shewhart Control Charts with Unequal Subgroup Sizes
Author(s): Nien Fan Zhang*+ and Per Winkel
Companies: National Institute of Standards and Technology and Copenhagen Trial Unit
Address: Stop 8980, 100 Bureau Dr, Gaithersburg, MD, 20899,
Keywords: Biased estimator ; control limit ; linear combination ; minimum variance ; relative difference
Abstract:

The Xbar and S control charts with unequal subgroup sizes have been discussed in the literature and used in practice. Several estimators of the process standard deviation based on sample standard deviations have been proposed in constructing the charts. We discuss the properties of these estimators and make comparisons using the criterion of minimum mean squared error. Shewhart charts based on the recommended estimator of the process standard deviation are also discussed


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