Inference for random effects in prime basis factorials using commutative jordan algebras

Research output: Contribution to journalArticlepeer-review

Abstract

Commutative Jordan algebras are used to drive an highly tractableframework for balanced factorial designs with a prime number p oflevels for their factors. Both fixed effects and random effects modelsare treated. Sufficient complete statistics are obtained and used toderive UMVUE for the relevant parameters. Confidence regions areobtained and it is shown how to use duality for hypothesis testing.
Original languageEnglish
Pages (from-to)15-25
Number of pages11
JournalDiscussiones Mathematicae. Probability and Statistics
Volume27
Publication statusPublished - 1 Jan 2007

Keywords

  • prime basis factorial
  • commutative Jordan algebras
  • complete sufficient statistics
  • UMVUE
  • confidence regions

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