Some Comments Regarding the Synthetic (X)over-bar Chart
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Undergraduate course
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Taylor & Francis Inc
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Abstract
The steady-state average run length (ARL) is a function of the in-control probabilities of being in each nonabsorbing state. Davis and Woodall (2002) tabulated values that are significantly smaller than the steady-state ARLs, because they used the out-of-control probabilities. The synthetic chart signals when a second sample point falls beyond the control limits, no matter whether one of them falls above the centerline and the other falls below it. The side-sensitive version of the synthetic chart does not signal when the points beyond the control limits are on opposite sides. With this rule, the chart detects mean changes more quickly.
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English
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Communications In Statistics-theory And Methods. Philadelphia: Taylor & Francis Inc, v. 43, n. 14, p. 2897-2906, 2014.
