Author : Ping Ye
Publisher :
ISBN 13 :
Total Pages : 123 pages
Book Rating : 4.:/5 (31 download)
Book Synopsis Tests of Symmetry with Ordered Alternatives in Three-dimensional Contingency Tables by : Ping Ye
Download or read book Tests of Symmetry with Ordered Alternatives in Three-dimensional Contingency Tables written by Ping Ye and published by . This book was released on 2008 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a two-dimensional contingency table of probabilities, the concept of symmetry around the main diagonal is well defined. Statistical hypothesis test of symmetry versus positive bias have also been explored. For tables of higher (three or more) dimensions, however, different concepts of symmetry are available. In this study, we consider statistical inference procedures of symmetry in partial tables versus various biases in three-dimensional tables. We find the maximum likelihood estimates of the cell probabilities and the asymptotic distribution of the likelihood ratio test statistic in each case. Simulation studies are used to investigate the sizes and powers of the tests. The methodologies developed are applied on real data sets.