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An Algorithmic Approach to Bilinear Models for Two-Way Contingency Tables

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New Approaches in Classification and Data Analysis

Summary

Bilinear models for two-way contingency tables are considered. An algorithm for maximum likelihood fitting of such models is proposed. The flexibility of this algorithm is illustrated by an example.

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References

  • BACCINI, A., CAUSSINUS, H., & FALGUEROLLES, A. DE (1993): Analysing Dependence in Large Contingency Tables: Dimensionality and Patterns in Scatter-Plots. In: C.M. Cuadras and C.R. Rao (eds.): Multivariate Analysis: Future Directions 2, 245–63, Elsevier Science Publishers B.V. (North-Holland).

    Google Scholar 

  • BACCINI, A., & KHOUDRAJI, A. (1992): A Least Square Procedure for Estimating the Parameters in the R × C-Association Model for Contingency Tables, Computational Statistics, 7, 287–300.

    Google Scholar 

  • BONEVA, L.I. (1971): A New Approach to a Problem of Chronological Seriation Associated with the Work of Plato. In: F.R. Hodson, D.G. Kendall and P. Tautu (eds): Mathematics in the Archaeological and Historical Sciences, 173–85, University Press, Edinburgh.

    Google Scholar 

  • ESCOUFIER, Y. (1988): Beyond Correspondence Analysis. In: H.H. Bock (eds.): Classification and Related Methods of Data Analysis, 505–14, Elsevier Science Publishers B.V. (North-Holland).

    Google Scholar 

  • FALGUEROLLES, A. DE, & FRANCIS, B. (1992): Algorithmic Approaches for Fitting Bilinear Models. In: Y. Dodge and J. Whittaker (eds.): COMPSTAT 92, Computational Statistics, Vol. 1, 77–82, Physica-Verlag, Heidelberg.

    Google Scholar 

  • FRANCIS, B., GREEN, M., PAYNE, C. (eds.) (1993): The GLIM System, Release 4 Manual, Clarendon Press, Oxford.

    Google Scholar 

  • GABRIEL, K.R. (1971): The Biplot-Graphic Display of Matrices with Application to Principal Component Analysis, Biometrica, 54, 453–67.

    Article  Google Scholar 

  • GOODMAN, L. (1991): Measures, Models, and Graphical Displays in the Analysis of Cross-Classified Data (with discussion), Journal of the American Statistical Association, 86, 1085–138.

    Article  Google Scholar 

  • NELDER, J.A., & WEDDERBURN, R.W.M. (1972): Generalized Linear Models, Journal of the Royal Statistical Society, series A, 135, 370–84.

    Article  Google Scholar 

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© 1994 Springer-Verlag Berlin Heidelberg

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de Falguerolles, A., Francis, B. (1994). An Algorithmic Approach to Bilinear Models for Two-Way Contingency Tables. In: Diday, E., Lechevallier, Y., Schader, M., Bertrand, P., Burtschy, B. (eds) New Approaches in Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51175-2_60

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  • DOI: https://doi.org/10.1007/978-3-642-51175-2_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58425-4

  • Online ISBN: 978-3-642-51175-2

  • eBook Packages: Springer Book Archive

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