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

Vera M. Jesus; Paulo Canas Rodrigues; João Tiago Praça Nunes Mexia

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

Vera M. Jesus, Paulo Canas Rodrigues, João Tiago Praça Nunes Mexia

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	15-25
Number of pages	11
Journal	Discussiones Mathematicae: Probability and Statistics
Volume	27
Publication status	Published - 1 Jan 2007

Keywords

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

Cite this

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title = "Inference for random effects in prime basis factorials using commutative jordan algebras",

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.",

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AU - Jesus, Vera M.

AU - Rodrigues, Paulo Canas

AU - Mexia, João Tiago Praça Nunes

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N2 - 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.

AB - 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.

KW - prime basis factorial

KW - commutative Jordan algebras

KW - complete sufficient statistics

KW - UMVUE

KW - confidence regions

M3 - Article

SN - 1509-9423

VL - 27

SP - 15

EP - 25

JO - Discussiones Mathematicae: Probability and Statistics

JF - Discussiones Mathematicae: Probability and Statistics

ER -

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

Abstract

Keywords

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