cmatbd function

Computes the treatment information matrix

The function cmatbd computes the information matrix (C-matrix) for treatment effects under either the linear fixed effects model or the linear mixed effects model setting for a given block design of size 2.

cmatbd(trt.N, blk.N, theta, des)

Arguments

• trt.N: integer, specifying number of treatments, v.
• blk.N: integer, specifying number of blocks, b.
• theta: numeric, representing function of the ratio of random block variance and random error variance. It takes any value between 0 and 1, inclusive.
• des: matrix, a 2 x b block design with b blocks of size k = 2 and v treatments.

Returns

Returns a v x v treatment information matrix (C-matrix).

References

Debusho, L. K., Gemechu, D. B. and Haines, L. (2018). Algorithmic construction of optimal block designs for two-colour cDNA microarray experiments using the linear mixed effects model. Communications in Statistics - Simulation and Computation, https://doi.org/10.1080/03610918.2018.1429617.

Gemechu D. B., Debusho L. K. and Haines L. M. (2014). A-optimal designs for two-colour cDNA microarray experiments using the linear mixed effects model. Peer-reviewed Proceedings of the Annual Conference of the South African Statistical Association for 2014 (SASA 2014), Rhodes University, Grahamstown, South Africa. pp 33-40, ISBN: 978-1-86822-659-7.

Author(s)

Dibaba Bayisa Gemechu, Legesse Kassa Debusho, and Linda Haines

See Also

Boptbd, fixparBbd, intcbd

Examples

##Information matrix

     trt.N <- 3 

     blk.N <- 3 

     theta <- 0.2 

     des <- intcbd(trt.N = 4, blk.N = 3)

     cmatbd(trt.N, blk.N, theta, des)