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Factorial experimental designs and generalized linear models

  • Autores: Simplice Dossou-Gbété, Walter Tinsson
  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 29, Nº. 2, 2005, págs. 249-268
  • Idioma: inglés
  • Títulos paralelos:
    • Diseños experimentales factoriales y modelos lineales generalizados.
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  • Resumen
    • HolaThis paper deals with experimental designs adapted to a generalized linear model.

      We introduce a special link function for which the orthogonality of design matrix obtained under Gaussian assumption is preserved. We investigate by simulation some of its properties.

      MSC: 62J12, 62K15 Keywords: generalized linear model, exponential family, Fisher-Scoring algorithm, factorial designs, regular fraction HolaAquest article tracta de dissenys experimentals adaptats al model lineal generalitzat.

      Introdu¿ým una funci¿o enllac¿ que mant¿e l¿ortogonalitat de la matriu de disseny obtinguda sota distribuci¿o Gaussiana. Investiguem algunes propietats mitjanc¿ant simulacions.

      Paraules clau: model lineal generalitzat, fam¿ýlia exponencial, algoritme de les puntuacions de Fisher; dissenys factorials, fracci¿o regular

  • Referencias bibliográficas
    • Box G. and Draper N. (1987). Empirical Model-Building and Response Surfaces. John Wiley, New-York.
    • Box G. E. P. and Hunter J. S. (1961a). The 2k−p fractionnal factorial designs, Part I. Technometrics, 3, 311- 351.
    • Box G. E. P. and Hunter J. S. (1961b). The 2k−p fractionnal factorial designs, Part II. Technometrics, 3, 449-458.
    • Chipman H. A. and Welch W. J. (1996). D-Optimal Design for Generalized Linear Models, Unpublised. http://www.stats.uwaterloo.ca/˜hachipma/publications.html.
    • Chaloner K. and Larntz K. (1989). Optimal bayesian design applied to logistic regression experiments. Journal of Statistical Planning and...
    • Green P.J. and Silverman B. W. (1994). Nonparametric Regression and Generalized Linear Models. Monographs on Statistics and Applied Probability,...
    • Khuri A. and Cornell J. (1996). Response Surfaces: Designs and Analyses. Dekker, Statistics: textbooks and monographs, 152, New-York.
    • McCullagh P. and Nelder J. A. (1989). Generalized Linear Models (second edition). Monographs on Statistics and Applied Probability, 37. London:...
    • Nelder J. A. and Wedderburn R. W. M. (1972). Generalized linear models. J. Roy. Stat. Soc. A, 135, 370- 384.
    • Pukelsheim F. (1993). Optimal Design of Experiments. New York: John Wiley.
    • Sebastiani P. and Settimi R. (1997), A note on D-optimal designs for a logistic regression model. Journal of statistical planning and inference,...
    • Smyth G. K. (2002). Optimization. Encyclopedia of Environmetrics, 3, 1481-1487.

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