Components of Pearson's Statistic for at Least Partially Ordered -Way Contingency Tables
نویسندگان
چکیده
منابع مشابه
Components of Pearson's Statistic for at Least Partially Ordered m-Way Contingency Tables
For at least partially ordered three-way tables, it is well known how to arithmetically decompose Pearson’s X2 P 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 X2 P and information a...
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Pearson’s statistic is investigated for nominal-ordinal two-way contingency tables in which we wish to test for identical rows. The statistic is expressed as a sum, the first summand of which is a statistic given by Yates (1948), and examines location effects for the nominal category. The second and subsequent summands reflect the corresponding moments: for example, dispersion, skewness, kurtos...
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In analyses of contingency tables made up of categorical variables, the study of relationship between the variables is usually the major objective. So far, many association measures and association models have been used to measure the association structure present in the table. Although the association measures merely determine the degree of strength of association between the study varia...
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In this paper, we consider Bayesian estimation and model determination for two-way contingency tables. The analysis is based on partitioning the parameter space of a saturated log-linear model into parameter subspaces identiied by considering the natural symmetries of the data. Prior distributions may then be chosen to respect invariance restrictions required by the available prior information....
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Pearson’s test and likelihood ratio test are two of the classical tests frequently used for testing the equality of r distributions using the data in the contingency tables. Presently we suggest an alternative test for testing the equality of distributions. It is found that the alternative test has, in general, more satisfactory levels of the acceptance probabilities under the null hypothesis, ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Decision Sciences
سال: 2009
ISSN: 1173-9126,1532-7612
DOI: 10.1155/2009/980706