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Pareto simulated annealing for the design of experiments: illustrated by a gene expression study

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Experimental design is concerned with the problem of allocating resources within an experiment to ensure that objectives of the experiment are achieved at the minimum cost. This paper focuses on the generation of optimal or near-optimal designs for large and complex experiments where it is infeasible to carry out an exhaustive search of the design space. Optimal designs for gene expression studies, aimed at investigating the behaviour of genes, are considered, where the optimality criterion employed is Pareto optimality. We develop an adaptation of the metaheuristic method of Pareto simulated annealing to generate an approximation to the set of Pareto optimal designs for large and complex experiments. We develop algorithms that utilise response surface methodology to search systematically for the optimal values of parameters associated with Pareto simulated annealing and performance is evaluated using quality measures.
Rocznik
Strony
199--221
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • University of South Australia, School of Mathematics and Statistics, Mawson Lakes Campus, Mawson Lakes, South Australia, 5095, Australia
autor
  • University of Adelaide, School of Mathematical Sciences, Adelaide, South Australia, 5005, Australia
autor
  • University of Adelaide, School of Mathematical Sciences, Adelaide, South Australia, 5005, Australia
Bibliografia
  • [1] G. E. P. Box and N. R Draper. Empirical Model Building and Response Surfaces. New York: J. Wiley & Sons., 1987.
  • [2] G. E. P. Box, W. G. Hunter, and J. S. Hunter. Statistics for Experimenters. New York: J. Wiley & Sons., 1978.
  • [3] G. E. P. Box and K. B. Wilson. On the experimental attainment of optimum conditions (with discussion). Journal of the Royal Statistical Society: Series B, 13(1):1{45, 1951.
  • [4] P. Czyzak and A. Jaszkiewicz. Pareto simulated annealing-a metaheuristic technique for multiple objective combinatorial optimisation. Journal of Multi- Criteria Decision Analysis, 7:34{47, 1998.
  • [5] G. F. V. Glonek and P. J. Solomon. Factorial and time course designs for cDNA microarray experiments. Biostatistics, 5:89{111, 2004.
  • [6] P. A. Gregory, A. G. Bert, E. L. Paterson, S. C. Barry, A. Tsykin, G. Farshid, M. A. Vadas, Y. Khew-Goodall, and G. J. Goodall. The mir-200 family and mir205 regulate epithelial to mesenchymal transition by targeting zeb1 and sip1. Nature cell biology, 10(5):593{601, 2008.
  • [7] A. Jaszkiewicz. Multiple Objective Metaheuristic Algorithms for Combinatorial Optimization. PhD thesis, Poznan University of Technology, Poznan, 2001.
  • [8] D. Nguyen, A. Arpat, N. Wang, and R. Carroll. DNA microarray experiments: biological and technical aspects. Biometrics, 58:701{717, 2002.
  • [9] M. Pirlot. General local search methods. European Journal of Operational Re- search, 92:493{511, 1996.
  • [10] R Development Core Team. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria, 2010. ISBN 3-900051-07-0.
  • [11] P. S. Sanchez and G. F. V. Glonek. Optimal designs for two-colour microarray experiments. Biostatistics, 10(3):561{74, 2009
  • [12] S. Searle. Linear Models. New York: J. Wiley & Sons., 1971.
  • [13] G. K. Smyth, Y. H. Yang, and T. Speed. Statistical issues in cDNA microarray data analysis. Methods in Molecular Biology, 224:111{136, 2003.
  • [14] Y. H. Yang and T. P. Speed. Design and analysis of comparative microarray experiments. In T. P. Speed (Ed.), Statistical analysis of gene expression mi- croarray data. Boca Raton: CRC Press., 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2c4e660e-18c1-44d3-b0f3-0729f9ac65b5
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