MEASUREMENT ERROR EFFECT ON THE POWER OF CONTROL CHART FOR ZERO-TRUNCATED POISSON DISTRIBUTION

Abstract

Measurement error is the difference between the true value and the measured value of a quantity that exists in practice and may considerably affect the performance of control charts in some cases. Measurement error variability has uncertainty which can be from several sources. In this paper, we have studied the effect of these sources of variability on the power characteristics of control chart and obtained the values of average run length (ARL) for zero-truncated Poisson distribution (ZTPD). Expression of the power of control chart for variable sample size under standardized normal variate for ZTPD is also derived.

Keywords

• Measurement error
• zero truncated Poisson distribution (ZTPD)
• Average Run Length (ARL)
• power