designGLMM (version 0.1.0)

objfnA_CRD: Calculate A-optimality criterion for Completely Randomised Design with Poisson response

Description

This function calculates the trace of the inverse of the Fisher information matrix for a completely randomised design with a Poisson response.

Usage

objfnA_CRD(des,ntmt,sige,means,probs=c(1))

Arguments

des

The design under consideration, a list of length b x k containing treatment indices (1, 2, ..., v)

ntmt

The number of distinct treatments (v)

sige

Standard deviation of excess error

means

A list of length v containing conditional means for each treatment e.g. c(1,1,2) for three treatments with means 1, 1, and 2 respectively

probs

a list of probabilities specifying the probability that each step of the simulated annealing substitutes a certain number of design points. The first entry corresponds to the probability that only one substitution is made in a simulated annealing step, the second is the probability that two substitutions are made and so on. By default this is set to c(1) which means that only one substitution is made in each simulated annealing step.

Value

Returns the negative of the determinant of the Fisher information matrix for the provided design.

Details

This function is designed to work with findOptimalExactDesign, and as such shares the arguments of updateDesign_CRD. It can, however, be used on its own. The probs argument is not used in this function, but is in updateDesign_CRD.

References

Bush, S., and Ruggiero, K. (2016) Optimal block designs for experiments with responses drawn from a Poisson distribution, Under Review, preprint available at http://arxiv.org/abs/1601.00477

See Also

findOptimalExactDesign, updateDesign_CRD

Examples

# Finding the A-optimality objective value for the design (1,1,1,1,2,2,2,3,3,3)
# where there are three treatments, the treatment means are 1, 2, and 4, and
# there is no overdispersion (sige=0)

objfnA_CRD(c(1,1,1,1,2,2,2,3,3,3),ntmt=3,sige=0,means=c(1,2,4))