Efficient Block Designs for Mixed Level Factorial Microarray Experiments based on Baseline Parameterization
75 / 83
Keywords:
2-Colour Microarray Experiments; Factorial Experiments; Block Designs; Baseline parameterization.Abstract
A procedure of obtaining efficient block designs in block size 2 for n-factor mixed level factorial microarray experiments based on baseline parameterization has been given. A software module has been developed using C# programming language with ASP.NET platform for generation of efficient block designs in block size 2 for n s s s × × × and n denotes the number of factors and j j v== factorial experiments in 1 v arrays, where j denotes the number of levels of jth factor , the total number of treatment combinations. For n = 2, the software developed can also generate efficient block designs for 1 2 1 1 1 1 ( ) ( )( ) v b v s s , where b is the number of arrays.
Downloads
References
Banerjee, T. and Mukerjee, R. (2008). Optimal factorial designs for CDNA microarray experiments, Ann. Appl. Stat., 2(1), 366-385.
Glonek, G.F.V. and Solomon, P.J. (2004). Factorial and time course designs for cDNA microarray experiments. Biostatistics, 5, 89-111.
Grossman, H. and Schwabe, R. (2008). The relationship between optimal designs for microarray and paired comparison experiments. Preprint
Gupta, S. (2006). Balance factorial design for cDNA microarrray experiments. Comm. Stat. Theory and Methods. 35, 1469-1476.
Kerr, K.F. (2006). Efficient 2k factorial designs for blocks of size two with microarray applications, Journal of Quality Tech., 38(4), 309-318.
Mukerjee, R. and Tang, B. (2012). Optimal fractions of two-level factorials under a baseline parameterization Biometrika, 99(1), 71-84.
Wang, P.C. (2004). Designing two-level fractional factorial experiments in blocks of size two. Sankhya, 66, 327-342.
Yang, Y.J. and Draper, N.R. (2003). Two-level factorial and fractional factorial designs in blocks of size two, Journal of Quality Tech.,
35(3), 294-305.
Yang, Y.H. and Speed, T. (2002). Design issues for cDNA microarray experiments. Nature and Rev. in Genetics. 3, 579-588.