Nested Latin hypercube designs

Qian, Peter Z. G.
December 2009
Biometrika;Dec2009, Vol. 96 Issue 4, p957
Academic Journal
We propose an approach to constructing nested Latin hypercube designs. Such designs are useful for conducting multiple computer experiments with different levels of accuracy. A nested Latin hypercube design with two layers is defined to be a special Latin hypercube design that contains a smaller Latin hypercube design as a subset. Our method is easy to implement and can accommodate any number of factors. We also extend this method to construct nested Latin hypercube designs with more than two layers. Illustrative examples are given. Some statistical properties of the constructed designs are derived.


Related Articles

  • Sliced space-filling designs. Qian, Peter Z. G.; Wu, C. F. Jeff // Biometrika;Dec2009, Vol. 96 Issue 4, p945 

    We propose an approach to constructing a new type of design, a sliced space-filling design, intended for computer experiments with qualitative and quantitative factors. The approach starts with constructing a Latin hypercube design based on a special orthogonal array for the quantitative factors...

  • Using integer programming techniques for the solution of an experimental design problem. Harris, Carl M.; Hoffman, Karla L.; Yarrow, Leslie-Ann // Annals of Operations Research;1995, Vol. 58 Issue 1-4, p243 

    Latin hypercube sampling is often used to estimate the distribution function of a complicated function of many random variables. In so doing, it is typically necessary to choose a permutation matrix which minimizes the correlation among the cells in the hypercube layout. This problem can be...

  • Optimal contest design, closeness and the contest success function. Runkel, Marco // Public Choice;Oct2006, Vol. 129 Issue 1/2, p217 

    This paper considers the optimal design of an asymmetric two-player contest when the designer’s payoff depends not only on performance of the contestants, but also on the closeness of the contest measured by the difference in winning probabilities. In contrast to previous studies, the...

  • Individual control treatment in split-plot experiments. Aastveit, Are Halvor; Almøy, Trygve; Mejza, Iwona; Mejza, Stanislaw // Statistical Papers;Aug2009, Vol. 50 Issue 4, p697 

    The paper deals with experiments laid out in a complete or an incomplete split-plot design in which one control (standard) treatment occurs in addition to the usual treatments. Usually the control (standard) treatment has been treated as one specific factor level. In this paper, in contrast to...

  • Constructing Meta-Models for Computer Experiments. Allen, Theodore T.; Bernshteyn, Mikhail A.; Kabiri-Bamoradian, Khalil // Journal of Quality Technology;Jul2003, Vol. 35 Issue 3, p264 

    Provides comparisons of the accuracy of meta-models derived from computer experiments. Use of alternative approaches to experimentation and analysis; Interaction between relative meta-model accuracy and the choice of experimental design; Design of a plastic seal for an automotive application.

  • balanced design.  // Bloomsbury Business Library - Business & Management Dictionary;2007, p639 

    A definition of the term "balanced design" is presented. It refers to an experimental design in which the same number of observations is used for each combination of the experimental factors.

  • Editorial: Statistical experimental design: some recent advances and applications. Borror, Connie M.; Montgomery, Douglas C.; Runger, George C. // Quality & Reliability Engineering International;Sep2000, Vol. 16 Issue 5, p341 

    Discusses the eras in the modern development of statistical experimental design. Individuals who led each era; Outcomes of the debate on the engineering concepts and designs of Genichi Taguchi; Strategies for follow-up experiments to resolve ambiguities resulting from aliasing of effects.

  • Adaptability and stability of soybean advanced lines of semi early cycle for rust resistance. Santos Martins, Juliana Araújo; Juliatti, Fernando Cézar // Crop Breeding & Applied Biotechnology;2012, Vol. 12 Issue 1, p43 

    This research work was carried out to verify the adaptability and phenotypic stability of soybean inbred lines of semi early cycle, using rust severity as the selection trait for partial resistance. The strains were evaluated during the growing seasons of 2007/08 and 2008/09, in the locations of...

  • Learn and Earn Through Testing on the Internet. Wyner, Gordon A. // Marketing Research;Fall2000, Vol. 12 Issue 3, p37 

    This article focuses on the opportunities provided by the Internet for market experimentation and optimization. Increasing digitization--the importance of information content over physical matter in business--will make it progressively easier to experimentally alter particular aspects of a...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics