Algorithm-based distribution of two-sample statistics. (2nd July 2016)

• Record Type: Journal Article
• Authors: Kumar, Narinder; Chawla, Manesh
• Is Part Of: Journal of statistical theory and practice. Volume 10:Number 3(2016)
• Page Start: 563
• Page End: 573
• Publication Date: 2016-07-02
• Subjects: Disparity measure -- power comparison -- probability distribution -- recurrence relation; 11K -- 49C -- 60E -- 62G; 519.505
• DOI: 10.1080/15598608.2016.1191046
• Languages: English
• ISSNs: 1559-8608

Abstract

ABSTRACT: In this article, we develop an algorithm for working out the distribution of proposed test statistics. The computed distribution is compared with its existing asymptotic normal approximation using convergence rates and disparity measures. Simulation study is made to estimate the level of significance, and power to assess the performance of algorithm based procedure in comparison to asymptotic normal approximation. Both power comparisons and convergence rates suggest that the distribution computed through algorithm procedure be used for smaller sample sizes.