Abstract
ABSTRACTWe propose to control the mean vector by taking larger samples but inspecting fewer quality characteristics if we work with samples of size n to control bivariate processes, then 2n observations are usually collected, half are observations of X1 and the other half are observations of X2; alternatively, we might work with samples of size 2n if only observations of X1 (or X2) are collected; in both cases the cardinality c of the sample data set is c = 2n. If only one of the two quality characteristics, X1 or X2, is measured at each sampling time, then only one of the two statistics () is computed. The variable charting statistic (VCS) chart works as follows: if a point falls in the central region, then the statistic for the next sample changes to and vice-versa; yet, if a point reaches the warning region, then the statistic for the next sample remains .
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