scholarly journals A Markov basis for conditional test of common diagonal effect in quasi-independence model for square contingency tables

2009 ◽  
Vol 53 (4) ◽  
pp. 1006-1014 ◽  
Author(s):  
Hisayuki Hara ◽  
Akimichi Takemura ◽  
Ruriko Yoshida
Keyword(s):  
Contingency Tables ◽  
Markov Basis ◽  
Independence Model ◽  
Conditional Test

scholarly journals Connectivity for 3 x 3 x K contingency tables

2011 ◽  
Vol 2 (1) ◽  
Author(s):  
Toshio Sumi ◽  
Toshio Sakata
Keyword(s):  
Contingency Tables ◽  
Conditional Inference ◽  
Markov Basis ◽  
Conditional Test ◽  
Marginal Tables

We consider an exact sequential conditional test for three-way conditional test of nointeraction. At each time , the test uses as the conditional inference frame the set F(H ) of alltables with the same three two-way marginal tables as the obtained table H . For 33K tables,we propose a method to construct F(H ) from F(H􀀀1). This enables us to perform ecientlythe sequential exact conditional test. The subset S of F(H ) consisting of s + H 􀀀 H􀀀1 fors 2 F(H􀀀1) contains H , where the operations + and 􀀀 are dened elementwise. Our argumentis based on the minimal Markov basis for 3 3 K contingency tables and we give a minimalsubset M of some Markov basis which has the property that F(H ) = fs 􀀀 m j s 2 S ;m 2 Mg.

Analysis of Two-Way Contingency Tables : Log-Linear Models and Dual Scaling

1987 ◽  
Vol 26 (03) ◽  
pp. 104-108
Author(s):  
M. A. A. Moussa
Keyword(s):  
Linear Models ◽  
Contingency Tables ◽  
Real Data ◽  
Categorical Variables ◽  
Bayes Estimators ◽  
Dual Scaling ◽  
Independence Model ◽  
Optimal Weights ◽  
Log Linear ◽  
Female Nurses

SummaryThe paper focuses upon the measurement of association in two-way contingency tables, using the log-linear models and dual scaling approaches. The former comprises [1] the use of pseudo-Bayes estimators to remove zeros, [2] fitting the resulting smoothed array to all possible configurations of log-linear models, [3] fitting the quasi-independence model to detect anomalous cells that caused deviation from the null-independence model. The latter includes [1] estimation of the optimal weights that maximize the canonical correlation between the two categorical variables by an optimization iterative method, [2] testing the discriminability of the estimated scoring scheme. The two approaches were applied to a set of real data for the study of the association between maternal age at marriage and types of reproductive wastage in a sampling survey conducted in the population of female nurses in Kuwait.

scholarly journals Decomposition of Parsimonious Independence Model Using Pearson, Kendall and Spearman's Correlations for Two-Way Contingency Tables

2018 ◽  
Vol 7 (3) ◽  
pp. 105
Author(s):  
Kiyotaka Iki ◽  
Shun Sato ◽  
Sadao Tomizawa
Keyword(s):  
Contingency Tables ◽  
Correlation Coefficients ◽  
Test Statistics ◽  
Association Model ◽  
Ordered Categories ◽  
Independence Model ◽  
Linear Association

For two-way contingency tables with ordered categories, Tomizawa (1992) considered the parsimonious Linear-by-Linear association model. This model can be described in terms of fewer parameters than the Linear-by-Linear association model (Agresti, 1983). The purpose of this paper is (i) to define the parsimonious independence model, (ii) to show the parsimonious independence model holds if and only if the parsimonious Linear-by-Linear association model holds and the each one of various correlation coefficients is equal to zero, and (iii) show the statistic for testing the parsimonious independence model is asymptotically equivalent to the sum of test statistics for the decomposed models.

scholarly journals On the Grobner Basis of the Toric Ideal for 3 X n- Contingency Tables

2019 ◽  
pp. 1362-1366
Author(s):  
Hussein S. Mohammed Hussein ◽  
Abdulrahman H. Majeed
Keyword(s):  
Gröbner Basis ◽  
Contingency Tables ◽  
Grobner Basis ◽  
Toric Ideal ◽  
Markov Basis ◽  
Universal Gröbner Basis

In this paper, The Grobner basis of the Toric Ideal for - contingency tables related with the Markov basis B introduced by Hussein S. MH, Abdulrahman H. M in 2018 is found. Also, the Grobner basis is a reduced and universal Grobner basis are shown.

An Introduction to the Analysis of Contingency Tables

1993 ◽  
Vol 38 (8) ◽  
pp. 797-798
Author(s):  
Stephen E. Fienberg
Keyword(s):  
Contingency Tables
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