A dimensional reduction method for ordinal three-way contingency table

作者: Luigi D’Ambra , Biagio Simonetti , Eric J. Beh

DOI: 10.1007/978-3-7908-1709-6_21

关键词:

摘要: For the study of association in three-way, and more generally multi-way, contingency tables literature offers a large number techniques that can be considered. When there is an asymmetric dependence structure between variables Marcotorchino index [Mar84] (as apposed to Pearson chi-squared statistic) used measure strength their association. have ordinal structure, this information often not take into account. In paper we introduce partition for three ordered categorical using special class orthogonal polynomials. A graphical procedure also considered obtain visual summary asymmetrical relationship variables.

参考文章(15)
P B Imrey, G G Koch, Júlio da Motta Singer, M E Stokes, S S Atkinson, Analysis of categorical data Presses de l'Université de Montréal. ,(1985)
Louis N. Gray, J. Sherwood Williams, Goodman and Kruskal's Tau b: Multiple and Partial Analogs: Sociological Methods & Research. ,vol. 10, pp. 50- 62 ,(1981) , 10.1177/004912418101000105
Bruce A. Davy, David T. Blackstock, Measurements of the Refraction and Diffraction of a Short N Wave by a Gas‐Filled Soap Bubble The Journal of the Acoustical Society of America. ,vol. 49, pp. 732- 737 ,(1971) , 10.1121/1.1912410
Richard J. Light, Barry H. Margolin, An Analysis of Variance for Categorical Data Journal of the American Statistical Association. ,vol. 66, pp. 534- 544 ,(1971) , 10.1080/01621459.1971.10482297
Eric J. Beh, Pamela J. Davy, Partitioning Pearson's chi-squared statistic for a partially ordered three-way contingency table Australian & New Zealand Journal of Statistics. ,vol. 41, pp. 233- 246 ,(1999) , 10.1111/1467-842X.00077
Luigi D'Ambra, Eric J. Beh, Pietro Amenta, Catanova for Two-Way Contingency Tables with Ordinal Variables Using Orthogonal Polynomials Communications in Statistics-theory and Methods. ,vol. 34, pp. 1755- 1769 ,(2005) , 10.1081/STA-200066325
Eric J. Beh, Biagio Simonetti, Luigi D’Ambra, Partitioning a non-symmetric measure of association for three-way contingency tables Journal of Multivariate Analysis. ,vol. 98, pp. 1391- 1411 ,(2007) , 10.1016/J.JMVA.2007.01.011
Vijayan N. Nair, Testing in industrial experiments with ordered categorical data Technometrics. ,vol. 28, pp. 283- 311 ,(1986) , 10.2307/1268974