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ON THE USE OF X2 AS A TEST OF INDEPENDENCE IN CONTINGENCY TABLES WITH SMALL CELL EXPECTATIONS
Summary When an r×c contingency table has many cells having very small expectations, the usual χ2 approximation to the upper tail of the Pearson χ2 goodness-of-fit statistic becomes veryExpand
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Comparisons of the X2, Y2, Freeman-Tukey and Williams's improved G2 test statistics in small samples of one-way multinomials
SUMMARY This paper is concerned with comparison of the null hypothesis distributions of four goodness-of-fit test statistics in multinomial samples. Most previous such work has been concerned onlyExpand
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Alternative interaction structures in square contingency tables having ordered classificatory variables
TLDR
Goodman (1972) proposed several models for the analysis of I x I square tables with particular emphasis on social mobility data. Expand
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An approximation to the distribution of the X2 goodness-of-fit statistic for use with small expectations
SUMMARY This paper is concerned with the X2 goodness-of-fit test when the observed frequencies are supposed to be distributed according to a specified multinomial distribution. We propose a logExpand
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Review of Non-Independence, Asymmetry, Skew-Symmetry and Point-Symmetry Models in the Analysis of Social Mobility Data
A non-standard log-linear approach is employed to fit the class of non-independence,asymmetric, skew-symmetric and inclined point-symmetry models to intergenerationalmobility table. While theseExpand
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Using a GLM to Decompose the Symmetry Model in Square Contingency Tables with Ordered Categories
In this paper, we are employing the generalized linear model (GLM) in the form 𝓁ij=Xλ to decompose the symmetry model into the class of models discussed in Tomizawa (1992). In this formulation, theExpand
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Implementing point-symmetry models for square contingency tables having ordered categories in SAS
In this paper, the class of point-symmetry models in a square contingency table discussed in (Tomizawa, 1985; 1986a; 1986b) are implemented in SAS by employing the non-standard log-linear modelExpand
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Association, Symmetry and Diagonal Models for Occupational Mobility and Other Similar Square Contingency Tables Having Ordered Categorical Variables
This paper examines various association, symmetry and “diagonal band” class models for both the British and Danish social mobility data. Composite models are also fitted to these data and the varietyExpand
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Comparisons of Some Chi‐squared Tests for the Test of Independence in Sparse Two‐Way Contingency Tables
We consider in this paper, the behaviour of a class of the CRESSIE READ (1984) power divergence test statistics indexed by parameter λ - I (λ), with the modified X2 test statistics (LU) proposed byExpand
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