Simulations on the combinatorial structure of D-optimal designs

Roberto Fontana; Fabio Rapallo

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

Simulations on the combinatorial structure of D-optimal designs

Roberto Fontana
, Fabio Rapallo

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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.

Original language	English
Title of host publication	Statistics and Simulation - IWS 8, Vienna, Austria, September 2015
Editors	Jurgen Pilz, Viatcheslav B. Melas, Dieter Rasch, Karl Moder
Publisher	Springer New York LLC
Pages	343-353
Number of pages	11
ISBN (Print)	9783319760346
DOIs	https://doi.org/10.1007/978-3-319-76035-3_24
Publication status	Published - 2018
Externally published	Yes
Event	8th International Workshop on Simulation, IWS 2015 - Vienna, Austria Duration: 21 Sept 2015 → 25 Sept 2015

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	231
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	8th International Workshop on Simulation, IWS 2015
Country/Territory	Austria
City	Vienna
Period	21/09/15 → 25/09/15

Keywords

Algebraic statistics
Circuits
Design of experiments
Fractional factorial designs
Optimal designs

Access to Document

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

Cite this

@inproceedings{cf5e488af2944d108238cb11cd51c159,

title = "Simulations on the combinatorial structure of D-optimal designs",

abstract = "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.",

keywords = "Algebraic statistics, Circuits, Design of experiments, Fractional factorial designs, Optimal designs",

author = "Roberto Fontana and Fabio Rapallo",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2018.; 8th International Workshop on Simulation, IWS 2015 ; Conference date: 21-09-2015 Through 25-09-2015",

year = "2018",

doi = "10.1007/978-3-319-76035-3\_24",

language = "English",

isbn = "9783319760346",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "343--353",

editor = "Jurgen Pilz and Melas, \{Viatcheslav B.\} and Dieter Rasch and Karl Moder",

booktitle = "Statistics and Simulation - IWS 8, Vienna, Austria, September 2015",

}

Fontana, R & Rapallo, F 2018, Simulations on the combinatorial structure of D-optimal designs. in J Pilz, VB Melas, D Rasch & K Moder (eds), Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. Springer Proceedings in Mathematics and Statistics, vol. 231, Springer New York LLC, pp. 343-353, 8th International Workshop on Simulation, IWS 2015, Vienna, Austria, 21/09/15. https://doi.org/10.1007/978-3-319-76035-3_24

Simulations on the combinatorial structure of D-optimal designs. / Fontana, Roberto; Rapallo, Fabio.
Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. ed. / Jurgen Pilz; Viatcheslav B. Melas; Dieter Rasch; Karl Moder. Springer New York LLC, 2018. p. 343-353 (Springer Proceedings in Mathematics and Statistics; Vol. 231).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Simulations on the combinatorial structure of D-optimal designs

AU - Fontana, Roberto

AU - Rapallo, Fabio

N1 - Publisher Copyright: © Springer International Publishing AG, part of Springer Nature 2018.

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Algebraic statistics

KW - Circuits

KW - Design of experiments

KW - Fractional factorial designs

KW - Optimal designs

UR - https://www.scopus.com/pages/publications/85047956641

U2 - 10.1007/978-3-319-76035-3_24

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

M3 - Conference contribution

SN - 9783319760346

T3 - Springer Proceedings in Mathematics and Statistics

SP - 343

EP - 353

BT - Statistics and Simulation - IWS 8, Vienna, Austria, September 2015

A2 - Pilz, Jurgen

A2 - Melas, Viatcheslav B.

A2 - Rasch, Dieter

A2 - Moder, Karl

PB - Springer New York LLC

T2 - 8th International Workshop on Simulation, IWS 2015

Y2 - 21 September 2015 through 25 September 2015

ER -

Simulations on the combinatorial structure of D-optimal designs

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this