The Use of Gini Mean Difference for Monitoring Process Capability

July 25, 2015 Posted by admin

Kalpana K Mahajan, Sangeeta Arora and Priyanka Vashista
Department of Statistics, Panjab University, Chandigarh-160014, India

Abstract
In this paper, new process capability ratios based on Gini mean difference (GMD) are proposed for both one-sided and two-sided specifications under the assumption that the quality characteristic is normally distributed. The asymptotic sampling distribution for the new proposed PCR is derived along with its plot of probability density function (pdf) for different values of subgroup size and the numerical example is also given. The 100(1-alpha) percent confidence interval for the proposed PCR is computed along with some illustrations.

Keywords: Process capability ratios, natural tolerance limits, specification limits, robustness, efficiency.

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