Constructing Efficient Experimental Designs for Generalized Linear Models

作者: Moein Saleh , Rong Pan

DOI: 10.1080/03610918.2014.927486

关键词:

摘要: Exchange algorithms are popular for finding optimal or efficient designs linear models, but there few discussions of this type algorithm generalized models (GLMs) in literature. A new algorithm, Coordinate Algorithm (gCEA), is developed article to construct GLMs. We compare the performance proposed with other optimization algorithms, including point exchange columnwise-pairwise simulated annealing and generic demonstrate superior algorithm.

参考文章(37)
Alexander Donev, Randall Tobias, Anthony Atkinson, Optimum Experimental Designs, with SAS Oxford University Press; 2007.. ,(2007)
Eric M Monroe, Rong Pan, Christine M Anderson-Cook, Douglas C Montgomery, Connie M Borror, None, Sensitivity analysis of optimal designs for accelerated life testing Journal of Quality Technology. ,vol. 42, pp. 121- 135 ,(2010) , 10.1080/00224065.2010.11917811
I. Ford, B. Torsney, C. F. J. Wu, The Use of a Canonical Form in the Construction of Locally Optimal Designs for Non-Linear Problems Journal of the royal statistical society series b-methodological. ,vol. 54, pp. 569- 583 ,(1992) , 10.1111/J.2517-6161.1992.TB01897.X
Peter McCullagh, John Ashworth Nelder, Generalized Linear Models ,(1983)
Alejandro Heredia-Langner, W Matthew Carlyle, Douglas C Montgomery, Connie M Borror, George C Runger, None, Genetic Algorithms for the Construction of D-Optimal Designs Journal of Quality Technology. ,vol. 35, pp. 28- 46 ,(2003) , 10.1080/00224065.2003.11980189
Nam-Ky Nguyen, An algorithm for constructing optimal resolvable incomplete block designs Communications in Statistics - Simulation and Computation. ,vol. 22, pp. 911- 923 ,(1993) , 10.1080/03610919308813133
J. C. Kiefer, Optimum Experimental Designs Journal of the royal statistical society series b-methodological. ,vol. 21, pp. 400- 436 ,(1959) , 10.1007/978-1-4612-0919-5_28
Eric M Monroe, Rong Pan, Christine M Anderson‐Cook, Douglas C Montgomery, Connie M Borror, None, A generalized linear model approach to designing accelerated life test experiments Quality and Reliability Engineering International. ,vol. 27, pp. 595- 607 ,(2011) , 10.1002/QRE.1143
D. C Woods, S. M Lewis, J. A Eccleston, K. G Russell, Designs for Generalized Linear Models With Several Variables and Model Uncertainty Technometrics. ,vol. 48, pp. 284- 292 ,(2006) , 10.1198/004017005000000571