Abstract
Uniformity has played a key role in quasi-Monte Carlo methods as well as in computer experiments. The minimum aberration is the most popular criterion in factorial designs. In this paper we extend the results of Fang and Mukerjee (2000) from regular fractions of two-level factorials to regular fractions 3s-1 of three-level factorials and establish a relationship between uniformity and aberration of regular fractions 3s-1. There are many minimum aberration fractions 3s-1 whose performances in statistical estimation may be different even though they are isomorphic to each other. Uniformity can be used as a criterion for comparing designs. A new concept of uniformly regular design is proposed. Construction of uniformly regular 3s-1 designs is studied. We show that the uniformly minimum aberration 3s-1 design has lower correlation and less confounding than the non-uniform one.
Original language | English |
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Title of host publication | Monte Carlo and Quasi-Monte Carlo Methods 2000 |
Subtitle of host publication | Proceedings of a Conference held at Hong Kong Baptist University, Hong Kong SAR, China, November 27 – December 1, 2000 |
Editors | Kai Tai Fang, Harald Niederreiter, Fred J. Hickernell |
Publisher | Springer Berlin Heidelberg |
Pages | 215–231 |
Number of pages | 17 |
Edition | 1st |
ISBN (Electronic) | 9783642560460 |
ISBN (Print) | 9783540427186 |
DOIs | |
Publication status | Published - 22 Jan 2002 |
Externally published | Yes |
Event | 4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCMQC 2000 - Hong Kong Baptist University, Hong Kong Duration: 27 Nov 2000 → 1 Dec 2000 https://www.math.hkbu.edu.hk/mcqmc/MCQMC2000.html (Link to conference website) https://link.springer.com/book/10.1007/978-3-642-56046-0 (Link to conference proceedings) |
Conference
Conference | 4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCMQC 2000 |
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Country/Territory | Hong Kong |
Period | 27/11/00 → 1/12/00 |
Internet address |
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User-Defined Keywords
- Fractional Factorial Design
- Minimum Aberration
- Design Versus
- Identical Block
- Incomplete Design