Comparison of Some Test Statistics for testing the Process Capability Index: An Empirical Comparison

Author:

Kibria B. M. Golam1,Banik Shipra2

Affiliation:

1. Department of Mathematics and Statistics Florida International University Miami, Florida, USA

2. Department of Physical Sciences Independent University, Bashundhara, Dhaka 1229 BANGLADESH

Abstract

This paper considers fifteen different test statistics for testing the population process capability index. To assess the performance of the test statistics, empirical sizes and powers are calculated at the 5% nominal level and compared with the classical statistic under both symmetric and skewed distributions. It is evident from the simulation study that some of our proposed tests have better size and power properties as compared to the existing approaches.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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