Measurement Error Effect on the Power of ANOM Control Chart for Doubly Truncated Normal Distribution under Standardization Procedure

December 7, 2015 Posted by admin

Ashit B. Chakraborty and Anwer Khurshid
Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India
Department of Mathematical and Physical Sciences, College of Arts and Sciences,
University of Nizwa, P. O. Box 33, PC 616, Birkat Al Mouz, Oman

Abstract
Recently Chakraborty and Khurshid (2015) studied the effect of measurement errors on the power of control chart for doubly truncated normal distribution (DTND). The present article investigates the effect of measurement errors in ANOM type control chart for DTND based on standardized normal variate. Expressions for the power of control chart and average run length have been obtained to examine the effect of the errors. The results of the study reveal that relative measurement errors tend to increase as the standard deviation of the measurements increases. The results also show that the corresponding values of the power of detecting changes in the values of process parameters decrease when the values of relative measurement errors increase.

Keywords: ANOM (analysis of means), measurement error, misclassification, doubly truncated normal distribution, power.

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