Order-Restricted Tests for Stratified Comparisons of Binomial Proportions

作者: Alan Agresti , Brent A. Coull

DOI: 10.2307/2533072

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摘要: The data set presented relates a binomial response to ordered levels of an explanatory variable, representing doses drug, with collected at several centers. A study goal is test independence the and ordinal factor, assuming under alternative only that parameter monotonically increasing function predictor. We present two likelihood-ratio tests are sensitive order-restricted alternatives. Simulating exact distributions statistics yields nearly P-values. also discuss related analyses for comparing groups on response, we propose stochastic ordering alternative.

参考文章(30)
Svend Kreiner, Analysis of Multidimensional Contingency Tables by Exact Conditional Tests: Techniques and Strategies Scandinavian Journal of Statistics. ,vol. 14, pp. 97- 112 ,(1987)
ALAN E. GELFAND, LYNN KUO, Nonparametric Bayesian bioassay including ordered polytomous response Biometrika. ,vol. 78, pp. 657- 666 ,(1991) , 10.1093/BIOMET/78.3.657
D. J. BARTHOLOMEW, A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES. II Biometrika. ,vol. 46, pp. 328- 335 ,(1959) , 10.1093/BIOMET/46.3-4.328
Ning-Zhong Shi, A Test of Homogeneity of Odds Ratios against Order Restrictions Journal of the American Statistical Association. ,vol. 86, pp. 154- 158 ,(1991) , 10.1080/01621459.1991.10475014
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
Miriam Ayer, H. D. Brunk, G. M. Ewing, W. T. Reid, Edward Silverman, AN EMPIRICAL DISTRIBUTION FUNCTION FOR SAMPLING WITH INCOMPLETE INFORMATION Annals of Mathematical Statistics. ,vol. 26, pp. 641- 647 ,(1955) , 10.1214/AOMS/1177728423
Alan Agresti, Christy Chuang, Abbas Kezouh, Order-Restricted Score Parameters in Association Models for Contingency Tables Journal of the American Statistical Association. ,vol. 82, pp. 619- 623 ,(1987) , 10.1080/01621459.1987.10478474
Alan Agresti, Dennis Wackerly, James M. Boyett, Exact conditional tests for cross-classifications: Approximation of attained significance levels Psychometrika. ,vol. 44, pp. 75- 83 ,(1979) , 10.1007/BF02293786