Comparing Several Variances with a Control in Direction-mixed Families of Hypotheses. Issue 7 (8th August 2016)

• Record Type: Journal Article
• Authors: Chauhan, Rajvir Singh; Singh, Parminder; Kumar, Narinder
• Is Part Of: Communications in statistics. Volume 45:Issue 7(2016)
• Page Start: 2297
• Page End: 2308
• Publication Date: 2016-08-08
• Subjects: Critical constant -- Direction-mixed families -- p-value -- Simulation -- Simultaneous confidence intervals; Primary 62J15 -- Secondary 62F03; 62F25; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2014.936939
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract : This article deals with simultaneous comparisons of k(k ⩾ 1) populations with a control population with respect to variance in direction-mixed families of hypotheses. Computation of critical constants required for the implementation of the proposed procedures is discussed and selected values of the critical constants are tabulated. Power comparison of the proposed procedures with their existing competitors is carried out using Monte Carlo simulation. An example is given to illustrate the implementation of proposed procedures.