PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2007 | 27 | 1-2 | 15-25
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Commutative Jordan algebras are used to drive an highly tractable framework for balanced factorial designs with a prime number p of levels for their factors. Both fixed effects and random effects models are treated. Sufficient complete statistics are obtained and used to derive UMVUE for the relevant parameters. Confidence regions are obtained and it is shown how to use duality for hypothesis testing.
Rocznik
Tom
27
Numer
1-2
Strony
15-25
Opis fizyczny
Daty
wydano
2007
otrzymano
2006-12-20
poprawiono
2007-11-06
Twórcy
  • CMA-Center of Mathematics and Applications, Faculty of Science and Technology, Nova University of Lisbon, Monte de Caparica 2829-516 Caparica, Portugal
  • CMA-Center of Mathematics and Applications, Faculty of Science and Technology, Nova University of Lisbon, Monte de Caparica 2829-516 Caparica, Portugal
  • CMA-Center of Mathematics and Applications, Faculty of Science and Technology, Nova University of Lisbon, Monte de Caparica 2829-516 Caparica, Portugal
Bibliografia
  • [1] A. Day and R. Mukerjee, Fractional Factorial Plans, Wiley Series in Probability and Statistics (1999).
  • [2] M. Fonseca, J.T. Mexia and R. Zmyślony, Binary operations on Jordan algebras and orthogonal normal models, Linear Algebra and its Applications 417 (2006), 75-86.
  • [3] J.T. Mexia, Standardized Orthogonal Matrices and the Decomposition of the sum of Squares for Treatments, Trabalhos de Investigação nº2, Departamento de Matemática, FCT-UNL (1988).
  • [4] J.T. Mexia, Introdução à Inferência Estatística Linear, Edições Universitárias Lusófonas (1995).
  • [5] J.R. Schoot, Matrix Analysis for Statistics, Wiley Interscience (1997).
  • [6] J. Seely, Quadratic subspaces and completeness Ann. Math. Stat. (1971), 701-721.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1086
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.