Abstract
Digital nets can improve upon traditional fractional factorial designs because for a budget of n=bm runs, they can allow b, …, bm−1, or bm levels per factor, while retaining the good balance properties of orthogonal arrays. However, the t-value typically used to characterize the quality of digital nets is not adequate for the purposes of experimental design. Rather, concepts from the experimental design literature, such as strength, resolution and aberration should be used. Moreover, the known number-theoretic constructions of digital nets are optimized for large m, whereas for laboratory experiments one typically has n=bm less than 100.
This article describes some recent work on constructing digital nets with small numbers of points that are suitable for experimental designs. Coding theory provides some bounds on the quality of designs that may be expected. The generating matrices for the designs are found by computational search. The quality of the designs obtained is compared with the coding theory bounds.
This article describes some recent work on constructing digital nets with small numbers of points that are suitable for experimental designs. Coding theory provides some bounds on the quality of designs that may be expected. The generating matrices for the designs are found by computational search. The quality of the designs obtained is compared with the coding theory bounds.
Original language | English |
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Title of host publication | Monte Carlo and Quasi-Monte Carlo Methods 2004 |
Editors | Harald Niederreiter, Denis Talay |
Publisher | Springer Berlin Heidelberg |
Pages | 343–354 |
Number of pages | 12 |
Edition | 1st |
ISBN (Electronic) | 9783540311867 |
ISBN (Print) | 9783540255413 |
DOIs | |
Publication status | Published - Feb 2006 |
Event | 6th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCMQC 2004 - Juan-les-Pins, France Duration: 7 Jun 2004 → 10 Jun 2004 https://link.springer.com/book/10.1007/3-540-31186-6 (Link to conference proceedings) |
Conference
Conference | 6th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCMQC 2004 |
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Country/Territory | France |
City | Juan-les-Pins |
Period | 7/06/04 → 10/06/04 |
Internet address |
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User-Defined Keywords
- Orthogonal Array
- Generate Matrice
- Test Vector
- Candidate Vector
- Strength Table