Please use this identifier to cite or link to this item:
http://repository.kln.ac.lk/handle/123456789/7915
Title: | Tables for Testing Simultaneous Homogeneity against Ordered Alternatives in 3-Way Layout and Latin Square Design |
Authors: | Premarathna, L.P.N.D. Kulatunga, D.D.S. |
Keywords: | Isotonic regression; Like lihood ratio test; Multifactor layouts; Latin Square Design; Simple order alternatives |
Issue Date: | 2008 |
Publisher: | University of Kelaniya |
Citation: | Premarathna, L.P.N.D. and Kulatunga, D.D.S., 2008. Tables for Testing Simultaneous Homogeneity against Ordered Alternatives in 3-Way Layout and Latin Square Design, Proceedings of the Annual Research Symposium 2008, Faculty of Graduate Studies, University of Kelaniya, pp 153. |
Abstract: | The likelihood ratio test for testing simultaneous homogeneity of main effects of several factors against ordered alternatives in multifactor designs has been developed in the literature. But the level probabilities needed to implement these tests have been computed only for the 2-way layout. We use these results to calculate critical points for testing simultaneous homogeneity of main effects against simple order alternatives in 3-way layout and Latin square design. Tabulation of critical values requires finding values of c that satisfy _2 m+n+t Pr(E (m,n,t);:::: c)= I Q(l;m,n,t)Pr(B1 1 ;:::: c), for 3-way layout and l=4 -(/-3) -(mnt-1+2) 2 ' 2 _2 3 m Pr(E (m,m,m);:::: c)= I Q(l;m,m,m)Pr(B1 1 2 ;:::: c), for Latin Square -(l-3) -(m -/+2) l=4 2 ' 2 -2 Design, where E is the corresponding likelihood ratio test statistic, Q(l;m, n,t) are convolution of probabilities used in order restricted inference and Ba,b is the Beta distribution with parameters a, b. The tables presented here provide critical values for testing at significance level a for the combinations of m,n,t and a, where m,n,t = 2(1)10, a= 0.1, 0.05, 0.025, 0.01, 0.005. An application in the case of Latin Square Design and FORTRAN programs for the computation of critical values in several layouts are also presented. |
URI: | http://repository.kln.ac.lk/handle/123456789/7915 |
Appears in Collections: | ARS - 2008 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
L.P.N.D. Premarathn.pdf | 68.12 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.