Tests of symmetry in three-way contingency tables

作者: Campbell B. Read

DOI: 10.1007/BF02293649

关键词: Left and rightHomogeneity (statistics)MathematicsContingency tableMathematical modelEstimatorStatistical hypothesis testingNonparametric statisticsStatisticsThree way

摘要: Three-dimensional contingency tables are analyzed, with one variable (e.g., sex) as a factor, and natural relation between the other variables (e.g. left right eye vision). Models of special interest, like symmetry proportional related variables, homogeneity across factor levels, investigated. Maximum likelihood estimators parameters partitions chi-square goodness-of-fit statistics explicitly presented; independence certain models is noted, an example discussed.

参考文章(17)
Albert H. Bowker, A Test for Symmetry in Contingency Tables Journal of the American Statistical Association. ,vol. 43, pp. 572- 574 ,(1948) , 10.1080/01621459.1948.10483284
M. A. Hamdan, W. R. Pirie, J. C. Arnold, Simultaneous testing of McNemar's problem for several populations Psychometrika. ,vol. 40, pp. 153- 161 ,(1975) , 10.1007/BF02291562
C. T. Ireland, H. H. Ku, S. Kullback, Symmetry and Marginal Homogeneity of anr×rContingency Table Journal of the American Statistical Association. ,vol. 64, pp. 1323- 1341 ,(1969) , 10.1080/01621459.1969.10501059
Sonja M. McKinlay, The Design and Analysis of the Observational Study—A Review Journal of the American Statistical Association. ,vol. 70, pp. 503- 520 ,(1975) , 10.1080/01621459.1975.10482464
Yvonne M Bishop, Stephen E Fienberg, Paul W Holland, None, Discrete Multivariate Analysis: Theory and Practice ,(1975)
J. N. Darroch, S. D. Silvey, On Testing More than One Hypothesis Annals of Mathematical Statistics. ,vol. 34, pp. 555- 567 ,(1963) , 10.1214/AOMS/1177704168
Campbell B. Read, Partitioning chi-squape in contingency tables: A teaching approach Communications in Statistics-theory and Methods. ,vol. 6, pp. 553- 562 ,(1977) , 10.1080/03610927708827513
Robert V. Hogg, On the Resolution of Statistical Hypotheses Journal of the American Statistical Association. ,vol. 56, pp. 978- 989 ,(1961) , 10.1080/01621459.1961.10482139