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Components of Pearson's Statistic for at Least Partially Ordered m-Way Contingency Tables
Joint Authors
Source
Journal of Applied Mathematics and Decision Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
For at least partially ordered three-way tables, it is well known how to arithmetically decompose Pearson's XP2 statistic into informative components that enable a close scrutiny of the data.
Similarly well-known are smooth models for two-way tables from which score tests for homogeneity and independence can be derived.
From these models, both the components of Pearson's XP2 and information about their distributions can be derived.
Two advantages of specifying models are first that the score tests have weak optimality properties and second that identifying the appropriate model from within a class of possible models gives insights about the data.
Here, smooth models for higher-order tables are given explicitly, as are the partitions of Pearson's XP2 into components.
The asymptotic distributions of statistics related to the components are also addressed.
American Psychological Association (APA)
Rayner, J. C. W.& Beh, Eric J.. 2009. Components of Pearson's Statistic for at Least Partially Ordered m-Way Contingency Tables. Journal of Applied Mathematics and Decision Sciences،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-513222
Modern Language Association (MLA)
Rayner, J. C. W.& Beh, Eric J.. Components of Pearson's Statistic for at Least Partially Ordered m-Way Contingency Tables. Journal of Applied Mathematics and Decision Sciences No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-513222
American Medical Association (AMA)
Rayner, J. C. W.& Beh, Eric J.. Components of Pearson's Statistic for at Least Partially Ordered m-Way Contingency Tables. Journal of Applied Mathematics and Decision Sciences. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-513222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513222