In the present article measurement error effect on the power of control chart for ZTNBD is investigated based on standardized normal variate.Numerical calculations are presented so as to enable an appreciation of the consequences of measurement errors on the power curve. To examine the sensitivity of the monitoring procedure, average run length is also considered.
One-sided cumulative sum control charts are constructed for controlling the parameters of a random variable with zero-truncated binomial distribution. It is observed that the Average Run Length (ARL) of the resulting control charts change considerably for a slight shift in the parameters of the distribution under study.
One-sided cumulative sum control charts are constructed for controlling the parameters of a random variable with doubly truncated binomial distribution. It is observed that the average run length (ARL) of the resulting control charts change considerably for a slight shift in the parameters of the distribution under study.
Researchers in various quality control procedures consider the possibility of measurement error effect on the power of control charts as an important issue. In this paper the effect of measurement errors on the power curve of standardization procedure will be studied for doubly truncated normal distribution. A method of obtaining the expression of the power of control chart for doubly truncated normal distribution is being proposed. The effect of truncation will be shown accordingly. To study the sensitivity of the monitoring procedure, average run length (ARL) is also considered.
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