D$-optimal saturated designs: a simulation study

In this work we focus on saturated $D$-optimal designs. Using recent results, we identify $D$-optimal designs with the solutions of an optimization problem with linear constraints. We introduce new objective functions based on the geometric structure of the design and we compare them with the classi...

Full description

Saved in:
Bibliographic Details
Main Authors Fontana, Roberto, Rapallo, Fabio, Rogantin, Maria Piera
Format Journal Article
LanguageEnglish
Published 04.01.2014
Subjects
Mathematics - Combinatorics
Mathematics - Statistics Theory
Statistics - Methodology
Statistics - Theory
Online AccessGet full text

Cover

More Information
Summary:In this work we focus on saturated $D$-optimal designs. Using recent results, we identify $D$-optimal designs with the solutions of an optimization problem with linear constraints. We introduce new objective functions based on the geometric structure of the design and we compare them with the classical $D$-efficiency criterion. We perform a simulation study. In all the test cases we observe that designs with high values of $D$-efficiency have also high values of the new objective functions.
DOI:10.48550/arxiv.1401.0844