B. M. Golam Kibria, Shipra Banik, "Comparison of Some Test Statistics for testing the Process Capability Index: An Empirical Comparison," International Journal of Computational and Applied Mathematics & Computer Science, vol. 2, pp. 69-90, 2022, DOI:10.37394/232028.2022.2.13
B. M. Golam Kibria, Shipra Banik. Comparison of Some Test Statistics for testing the Process Capability Index: An Empirical Comparison.
International Journal of Computational and Applied Mathematics & Computer Science. 2022;2:69-90. 10.37394/232028.2022.2.13
International Journal of Computational and Applied Mathematics & Computer Science
E-ISSN: 2769-2477
Volume 2, 2022
Comparison of Some Test Statistics for testing the Process Capability Index: An Empirical Comparison
Authors: ,
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.
Keywords:
Hypothesis testing, Monte Carlo simulation, Power of the test, Process capability index, Symmetric and skewed distributions
Pages: 69-90 DOI: 10.37394/232028.2022.2.13WSEAS Transactions on International Journal of Computational and Applied Mathematics & Computer Science, E-ISSN: 2769-2477, Volume 2, 2022, Art. #13
×
Citation Tools