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Transactions of the Ninth Prague Conference pp 281–286Cite as

Some Complexity Considerations Concerning Hypotheses In Multidimensional Contingency Tables

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Part of the book series: Czechoslovak Academy of Sciences ((TPCI,volume 9A))

Abstract

A simple formal representation of hierarchical log-linear hypotheses (models) for multidimensional contingency tables is presented. This representation leads to a complexity hierarchy between these hypotheses.

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References

  • Bishop Y.M.M., Fienberg S.E., Holland P.W. (1975): Discrete multivariate analysis:theory and practice. MIT Press, Cambridge (Mass.).

    MATH  Google Scholar 

  • Darroch J.N., Lauritzen S.L., Speed T.P. (1980): Markov fields and log-linear models for contingency tables. Annals of Statistics 8, 522–539.

    Article  MathSciNet  MATH  Google Scholar 

  • Darroch J.N., Speed T.P. (1979): Multiplicative and additive models and interactions. Res.rep.49., Department of Theoretic Statistics, University of Aarhus.

    Google Scholar 

  • Enke H. (1980): To some reasonable test procedures in multiple contingency tables to investigate certain epidemiological or medico-sociological relationships. Biometrical Journal 22, 779–793.

    Article  MATH  Google Scholar 

  • Goodman L.A. (1970): The multivariate analysis of qualitative data: interactions among multiple classifications. J. Amer. Statistical Assoc. 65, 226–256.

    Article  Google Scholar 

  • Goodman L.A. (1971): Partitioning of chi-square, anylysis of contingency tables, and estimation of expected frequencies in multidimensional contingency tables, J. Amer. Statist. Assoc. 66, 339–344.

    Article  MATH  Google Scholar 

  • Havránek T. (1982): O analyze mnohorozmérných kontingenčních tabulek (On analysis of multidimensional contingency tables). In: Robust 82, JČMF, Prague, 11–18.

    Google Scholar 

  • Hájek P., Havránek T. (1978): Mechanizing hypothesis formation - mathematical foundations for a general theory. Springer-Verlag, Berlin-Heidelberg-New York.

    Book  MATH  Google Scholar 

  • Wermuth N. (1976): Model search among multiplicative models. Biometrics 32, 253–263.

    Article  MathSciNet  MATH  Google Scholar 

  • Wermuth N. (1980): Linear recursive equations, covariance selection and path analysis. J. Amer. Statist. Assoc. 75, 963–972.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Center of Biomathematics, Institute of Physiology, Czechoslovak Academy of Sciences, Vídeňská, 1083, 142 20 Praha 4, Czechoslovakia

    Tomáš Havránek

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  1. Tomáš Havránek
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© 1983 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague

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Havránek, T. (1983). Some Complexity Considerations Concerning Hypotheses In Multidimensional Contingency Tables. In: Transactions of the Ninth Prague Conference. Czechoslovak Academy of Sciences, vol 9A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7013-7_35

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  • DOI: https://doi.org/10.1007/978-94-009-7013-7_35

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7015-1

  • Online ISBN: 978-94-009-7013-7

  • eBook Packages: Springer Book Archive

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