Testing Non-Linear Ordinal Responses in L2×K Tables
作者： Leslie Jayasekara , Takashi Yanagawa
DOI:
关键词: Statistics 、 Nonlinear system 、 Mathematics 、 Test (assessment) 、 Econometrics 、 Null (mathematics) 、 Ordinal regression 、 Ordinal data 、 Alternative hypothesis
摘要: In comparative studies responses of two populations are often summarized in stratified 2 ×K tables with ordinal categories. A test, called QEt is proposed for testing the homogenuity against non-linear alternatives such tables. The asymptotic distributions test obtained both under null and alternative hypothesis. powers extended Mantal compared by simulation.
ruh.ac.lk参考文章(10)
Leslie Jayasekara, Takashi Yanagawa, TESTING ORDERED CATEGORICAL DATA IN $ 2 \times k $ TABLES BY THE STATISTICS WITH ORTHONORMAL SCORE VECTORS Bulletin of informatics and cybernetics. ,vol. 27, pp. 129- 145 ,(1995) , 10.5109/13447
Frank Wilcoxon, Individual Comparisons by Ranking Methods Springer Series in Statistics. ,vol. 1, pp. 196- 202 ,(1992) , 10.1007/978-1-4612-4380-9_16
J. Richard Landis, Eugene R. Heyman, Gary G. Koch, Average Partial Association in Three-way Contingency Tables: a Review and Discussion of Alternative Tests International Statistical Review. ,vol. 46, pp. 237- ,(1978) , 10.2307/1402373
Nathan Mantel, Chi-Square Tests with One Degree of Freedom; Extensions of the Mantel-Haenszel Procedure Journal of the American Statistical Association. ,vol. 58, pp. 690- 700 ,(1963) , 10.1080/01621459.1963.10500879
Vijayan N. Nair, Testing in industrial experiments with ordered categorical data Technometrics. ,vol. 28, pp. 283- 311 ,(1986) , 10.2307/1268974
Karl Pearson, X. On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling Philosophical Magazine Series 1. ,vol. 50, pp. 11- 28 ,(1900) , 10.1080/14786440009463897
C. HIROTSU, Defining the pattern of association in two-way contingency tables Biometrika. ,vol. 70, pp. 579- 589 ,(1983) , 10.1093/BIOMET/70.3.579
Richard Sinkhorn, Diagonal Equivalence to Matrices with Prescribed Row and Column Sums The American Mathematical Monthly. ,vol. 74, pp. 402- ,(1967) , 10.2307/2314570
Robin Plackett, The analysis of categorical data ,(1974)
P. McCullagh, R. L. Plackett, The Analysis of Categorical Data. Biometrics. ,vol. 38, pp. 1127- ,(1982) , 10.2307/2529909