Simulations on the Combinatorial Structure of D-Optimal Designs

被引：0

作者：

Fontana, Roberto ^{[1
]}

Rapallo, Fabio ^{[2
]}

机构：

[1] Politecn Torino, Dept DISMA, Corso Duca Abruzzi 24, I-10127 Turin, Italy

[2] Univ Piemonte Orientale, Dept DISIT, Viale Teresa Michel 11, I-15121 Alessandria, Italy

来源：

STATISTICS AND SIMULATION, IWS 8 2015 | 2018年 / 231卷

关键词：

Algebraic statistics; Circuits; Design of experiments; Fractional factorial designs; Optimal designs;

D O I：

10.1007/978-3-319-76035-3_24

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we present the results of several simulations on main-effect factorial designs. The goal of such simulations is to investigate the connections between the D-optimality of a design and its geometric structure. By means of a combinatorial object, namely the circuit basis of the model matrix, we show that it is possible to define a simple index that exhibits strong connections with the D-optimality.

引用

页码：343 / 353

页数：11

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