cmatbd | R Documentation |
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)
trt.N |
integer, specifying number of treatments, |
blk.N |
integer, specifying number of blocks, |
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 |
Returns a v x v
treatment information matrix (C-matrix).
Dibaba Bayisa Gemechu, Legesse Kassa Debusho, and Linda Haines
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. (2025). Algorithmic Construction of Bayesian Optimal Block Designs Using the Linear Mixed Effects Model. International Journal of Statistics and Probability. 14 (1), 1-50, DOI:10.5539/ijsp.v14n1p50.
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.
Boptbd
, fixparBbd
, intcbd
##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)
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