Exact conditional tests for cross-classifications: Approximation of attained significance levels
作者： Alan Agresti , Dennis Wackerly , James M. Boyett
DOI: 10.1007/BF02293786
关键词: Fisher's exact test 、 Independence (probability theory) 、 Algorithm 、 Nonparametric statistics 、 Null distribution 、 Statistical hypothesis testing 、 Applied mathematics 、 Mathematics 、 Sampling (statistics) 、 Contingency table 、 Sample size determination
摘要: A procedure is proposed for approximating attained significance levels of exact conditional tests. The utilizes a sampling from the null distribution tables having same marginal frequencies as observed table. Application approximation through computer subroutine yields precise approximations practically any table dimensions and sample size.
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sci-hub.se 参考文章(12)
Ronald Fisher, The Design of Experiments ,(1935)
D. D. Wackerly, J. T. McClave, P. V. Rao, Measuring nominal scale agreement between a judge and a known standard Psychometrika. ,vol. 43, pp. 213- 223 ,(1978) , 10.1007/BF02293864
H. Toutenburg, Lehmann, E. L., Nonparametrics: Statistical Methods Based on Ranks, San Francisco. Holden-Day, Inc., 1975. 480 S., $ 22.95 . ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 57, pp. 562- 562 ,(1977) , 10.1002/ZAMM.19770570922
Alan Agresti, Dennis Wackerly, SOME EXACT CONDITIONAL TESTS OF INDEPENDENCE FOR, R × C CROSS-CLASSIFICATION TABLES Psychometrika. ,vol. 42, pp. 111- 125 ,(1977) , 10.1007/BF02293748
Jerome Klotz, James Teng, One-Way Layout for Counts and the Exact Enumeration of the Kruskal-Wallis H Distribution with Ties Journal of the American Statistical Association. ,vol. 72, pp. 165- 169 ,(1977) , 10.1080/01621459.1977.10479932
Alan B. Forsythe, Harvey S. Frey, Tests of significance from survival data Computers and Biomedical Research. ,vol. 3, pp. 124- 132 ,(1970) , 10.1016/0010-4809(70)90019-4
G. H. FREEMAN, J. H. HALTON, NOTE ON AN EXACT TREATMENT OF CONTINGENCY, GOODNESS OF FIT AND OTHER PROBLEMS OF SIGNIFICANCE Biometrika. ,vol. 38, pp. 141- 149 ,(1951) , 10.1093/BIOMET/38.1-2.141
I. J. Good, On the Application of Symmetric Dirichlet Distributions and their Mixtures to Contingency Tables Annals of Statistics. ,vol. 4, pp. 1159- 1189 ,(1976) , 10.1214/AOS/1176343649
James M. Boyett, J. J. Shuster, Nonparametric One-Sided Tests in Multivariate Analysis with Medical Applications Journal of the American Statistical Association. ,vol. 72, pp. 665- 668 ,(1977) , 10.1080/01621459.1977.10480633
Mitchell Gail, Nathan Mantel, Counting the Number of r×c Contingency Tables with Fixed Margins Journal of the American Statistical Association. ,vol. 72, pp. 859- 862 ,(1977) , 10.1080/01621459.1977.10479971