On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys (Q1072277)
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scientific article; zbMATH DE number 3942708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys |
scientific article; zbMATH DE number 3942708 |
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On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys (English)
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1985
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Methods have been developed earlier for analyzing multiway tables of categorical data in complex sample surveys which use log-linear models. In this paper bounds are obtained for the asymptotic percentage points of chi-squared tests of fit for these log-linear models. These bounds are obtained by using certain separation inequalities for the generalized eigenvalues of a matrix X'AX with respect to a matrix X'BX, when both A and B are assumed to be non-negative definite.
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Poincaré separation theorem
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multiway tables of categorical data
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complex sample surveys
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log-linear models
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bounds
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asymptotic percentage points
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chi-squared tests of fit
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separation inequalities
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generalized eigenvalues
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