Two-Stage Short-Run ( <i>[Xbar]</i> , <i>s</i> ) Control Charts

Abstract

Abstract This article develops the theory that is needed to apply the two-stage short-run theory of control charting to ([Xbar], s) charts. It then uses this theory to derive the equations for calculating the factors required to determine two-stage short-run control limits for ([Xbar], s) charts. Also, equations to calculate conventional control chart constants for ([Xbar], s) charts are derived. Additionally, this article gives advantages of two-stage short-run ([Xbar], s) control charts. Keywords: control chartshort-run statistical process controltwo-stage control chartingdistribution of the standard deviationdistribution of the studentized standard deviationdistribution of the mean standard deviation