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Some Curiosities in Optimal Designs for Random Slopes

  • Conference paper
mODa 8 - Advances in Model-Oriented Design and Analysis

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

The purpose of this note is to show by a simple example that some of the favourite results in optimal design theory do not necessarily carry over if random effects are involved. In particular, the usage of the popular D-criterion appears to be doubtful.

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References

  • Entholzner M, Benda N, Schmelter T, Schwabe R (2005) A note on designs for estimating population parameters. Listy Biometryczne-Biom. Letters 42:25–41

    Google Scholar 

  • Fedorov VV (1972) Theory of Optimal Experiments. Academic Press, New York

    Google Scholar 

  • Fedorov VV, Hackl P (1997) Model-Oriented Design of Experiments, Lecture Notes in Statistics, vol 125. Springer, New York

    MATH  Google Scholar 

  • Fedorov VV, Leonov S (2004) Optimal designs for regression models with forced measurements at baseline. In: DiBucchianico A, Läuter H, Wynn HP (eds) mODa 7-Advances in Model-Oriented Design and Analy., Physica, Heidelberg, 61–69

    Google Scholar 

  • Kiefer J, Wolfowitz J (1960) The equivalence of two extremum problems. Canadian Journal of Mathematics 12:363–366

    MATH  MathSciNet  Google Scholar 

  • Pukelsheim F (1993) Optimal Design of Experiments. Wiley, New York

    MATH  Google Scholar 

  • Schmelter T (2006) The optimality of single-group designs for certain mixed models. Metrika (to appear)

    Google Scholar 

  • Schwabe R, Schmelter T (2006) On optimal designs in random intercept models. Tatra Mountains Mathematical Publications (to appear)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institute for Mathematical Stochastics, Otto-von-Guericke-University, PF 4120, 39 016, Magdeburg, Germany

    Thomas Schmelter & Rainer Schwabe

  2. Statistical Methodology, Novartis Pharma AG, Lichtstrasse 35, 4056, Basel, Switzerland

    Norbert Benda

  3. Clinical Statistics Europe, Bayer Schering Pharma AG, 13 342, Berlin, Germany

    Thomas Schmelter

Authors
  1. Thomas Schmelter
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  2. Norbert Benda
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  3. Rainer Schwabe
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Editor information

Editors and Affiliations

  1. Departamento de Matemáticas, E.T.S.I. Industriales, Universidad de Castilla-La Mancha, Avda. Camilo José Cela, 3, 13071, Ciudad Real, Spain

    Jesús López-Fidalgo

  2. Departamento de Estadística, Facultad de Ciencias, Universidad de Salamanca, Plaza de los Caídos s/n, 37008, Salamanca, Spain

    Juan Manuel Rodríguez-Díaz

  3. Department of Statistics, University of Glasgow, 15 University Gardens, Glasgow, G12 8QW, UK

    Ben Torsney

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© 2007 Physica-Verlag Heidelberg

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Schmelter, T., Benda, N., Schwabe, R. (2007). Some Curiosities in Optimal Designs for Random Slopes. In: López-Fidalgo, J., Rodríguez-Díaz, J.M., Torsney, B. (eds) mODa 8 - Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-1952-6_24

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