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:: Volume 17, Issue 1 (9-2023) ::
JSS 2023, 17(1): 0-0 Back to browse issues page
A Different Attitude in Analyzing $3$-Way Contingency Tables Using Conditional Independence
Me'raj Abdi * , Mohsen Madadi
Abstract:   (1283 Views)

This paper proposes a different attitude for analyzing three-way contingency tables using conditional independence. We show that different  types of independence explored in log-linear models can be achieved without using these models and only by using conditional independence. Some numerical examples are presented to illustrate the proposed methods.

Keywords: Conditional Independence, ‎Contingency Table‎, Fisher Exact Test, Log-Linear Model
Full-Text [PDF 241 kb]   (1268 Downloads)    
Type of Study: Applied | Subject: Applied Statistics
Received: 2022/09/23 | Accepted: 2023/09/1 | Published: 2023/07/11
References
1. Agresti, A. (1996), An Introduction to Categorical Data Analysis, Second Edition, John Wiley and Sons, New York.
2. Agresti, A. (2013), Categorical Data Analysis, Third Edition, John Wiley and Sons, Hoboken, New Jersey.
3. Agresti, A. (2019), An Introduction to Categorical Data Analysis, Third Edition, John Wiley and Sons, Hoboken, New Jersey.
4. Andersen, E. B. (1994), The Statistical Analysis of Categorical Data, Springer-Verlag, Berlin Heidelberg. [DOI:10.1007/978-3-642-78817-8]
5. Andersen, E. B. (1997), Introduction to the Statistical Analysis of Categorical Data, Springer-Verlag, Berlin Heidelberg. [DOI:10.1007/978-3-642-59123-5]
6. Birch, M. W. (1963), Maximum Likelihood in Three-Way Contingency Tables, Journal of the Royal Statistical Society, Series B, 25, 220-233. [DOI:10.1111/j.2517-6161.1963.tb00504.x]
7. D'Agostino, R. B., Chase, W. and Belanger, A. (1988), The Appropriateness of Some Common Procedures for Testing the Equality of Two Independent Binomial Populations, The American Statistician, 42, 198-202. [DOI:10.1080/00031305.1988.10475563]
8. Dawid, A. P. (1998), Conditional Independence, In: Kotz, S., Read, C.B., Banks., D.L. (Eds.), Encyclopedia of Statistical Sciences, Update, vol. 2. Wiley Interscience, pp. 146-155.
9. Ehwerhemuepha, L., Sok, H. and Rakovski, C. (2019), A More Powerful Unconditional Exact Test of Homogeneity for 2 × c Contingency Table Analysis, Journal of Applied Statistics, 46(14), 2572-2582. [DOI:10.1080/02664763.2019.1601689]
10. Ghoreishi K. (2015), Structural Priors for Bayesian Analysis of Complete and Incomplete Contingency Tables. Journal of Statistical Sciences, 8 (2), 185-205.
11. Loperfido, N. (2010), A Note on Marginal and Conditional Independence, Statistics and Probability Letters, 80, 1695-1699. [DOI:10.1016/j.spl.2010.07.007]
12. Oliveira, N. L., Pereira, C. A. D. B., Diniz, M. A. and Polpo, A. (2018), A Discussion on Significance Indices for Contingency Tables under Small Sample Sizes, PLoS ONE 3(8): e0199102. [DOI:10.1371/journal.pone.0199102] [PMID] []
13. Shahkar, G. (2008), Discrete Multivariate Methods, Payam-e-Noor University Press, Tehran.
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Abdi M, Madadi M. A Different Attitude in Analyzing $3$-Way Contingency Tables Using Conditional Independence. JSS 2023; 17 (1)
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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 17, Issue 1 (9-2023) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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