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Compound Symmetric Error Structure

  • Peter Goos
Part of the Lecture Notes in Statistics book series (LNS, volume 164)

Abstract

The experiments considered in the sequel of this book possess a compound symmetric error structure. This is due to the fact that the experiments, which fall into the category of bi-randomization designs or two-stratum designs, suffer from a restricted randomization. The category of bi-randomization designs or two-stratum designs is a subset of the so-called multi-stratum designs. In this chapter, we provide the reader with a number of examples and give a general description of this type of design. Next, we show how to write the information matrix of a bi-randomization experiment as a sum of outer products without using Cholesky decomposition. This is important for the design construction algorithms in the next chapters. Finally, we will demonstrate that the asymptotic information matrix of a bi-randomization experiment is a reliable approximation to the finite sample information matrix.

Keywords

Design Point Information Matrix Generalize Little Square Plot Variable Plot Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Peter Goos
    • 1
  1. 1.Department of Applied EconomicsKatholieke Universiteit LeuvenLeuvenBelgium

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