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Approximating Exact Test of Mutual Independence in Multiway Contingency Tables via Stochastic Approximation Monte CarloApproximating Exact Test of Mutual Independence in Multiway Contingency Tables via Stochastic Approximation Monte Carlo

Other Titles
Approximating Exact Test of Mutual Independence in Multiway Contingency Tables via Stochastic Approximation Monte Carlo
Authors
전수영
Issue Date
2012
Publisher
한국통계학회
Keywords
Multi-way contingency table; exact inference; Markov chain Monte Carlo; stochastic approximation Monte Carlo.
Citation
응용통계연구, v.25, no.5, pp.837 - 846
Indexed
KCI
Journal Title
응용통계연구
Volume
25
Number
5
Start Page
837
End Page
846
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/110066
ISSN
1225-066X
Abstract
Monte Carlo methods have been used in exact inference for contingency tables for a long time; however, they suffer from ergodicity and the ability to achieve a desired proportion of valid tables. In this paper, we apply the stochastic approximation Monte Carlo(SAMC; Liang \etal, 2007) algorithm, as an adaptive Markov chain Monte Carlo, to the exact test of mutual independence in a multiway contingency table. The performance of SAMC has been investigated on real datasets compared to with existing Markov chain Monte Carlo methods. The numerical results are in favor of the new method in terms of the quality of estimates.
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