International Journal of Engineering and Management Research (IJEMR)
Year : 2017, Volume : 7, Issue : 4
First page : ( 292) Last page : ( 296)
Print ISSN : 2394-6962. Online ISSN : 2250-0758.

Sample Mean Deviation (d) Chart Under the Assumption of Moderateness and its Performance Analysis Under Normality Against Moderateness

Tailor Kalpesh S.

Assistant Professor, Department of Statistics, M. K. Bhavnagar University, Bhavnagar, India

Online published on 31 October, 2017.

Abstract

Moderate distribution proposed by Naik V.D and Desai J.M., is a sound alternative of normal distribution, which has mean and mean deviation as pivotal parameters and which has properties similar to normal distribution. Mean deviation (δ) is a very good alternative of standard deviation (σ) as mean deviation is considered to be the most intuitively and rationally defined measure of dispersion. This fact can be very useful in the field of quality control to construct the control limits of the control charts. On the basis of this fact Naik V.D. and Tailor KS. have proposed 3δ control limits. In 3δ control limits, the upper and lower control limits are set at 3δ distance from the central line where δ is the mean deviation of sampling distribution of the statistic being used for constructing the control chart. In this paper assuming that the underlying distribution of the variable of interest follows moderate distribution, 3 control limits of sample mean deviation (d) chart are derived. Also the performance analysis of this control chart is carried out with the help of OC curve analysis and ARL curve analysis.

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Keywords

Mean deviation, Standard deviation, Control charts, Normal distribution, Moderate distribution, Statistic, OC function, ARL curve.

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