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A-optimal Designs for Treatment-Control Comparisons in Microarray Experiments with Random Block Effects

  • J. KunertEmail author
  • S. Mersmann
Article
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Abstract

Designs for two colour microarrays can be considered as block designs with block size two. The paper considers a model where the block effects are random and determines a lower bound for the A-criterion of any design for the comparison of v treatments with a control. Only in rare cases there will be a design which attains the bound, but it can be used to calculate the efficiency of good designs.

Key-words

A-optimality Control treatment Information matrix Mixed model Simple block model Test treatments 

AMS Subject Classification

62K05 62K10 

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References

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Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  1. 1.Department of StatisticsTU Dortmund UniversityDortmundGermany

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