Balanced Row-Column Design with all Possible Treatment Orders

Description

The function constructs a row-column design with subjects as rows and periods as columns. Each subject gets each treatment at most once. All possible treatment orders are assigned to the subjects.

Usage

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allcombs(trt, k)

Arguments

trt

An integer > 1. Number of treatments (products) to be tested.

k

An integer <= trt. Number of periods for each subject.

Details

The design is a carryover balanced generalized Youden design that is uniform on the columns. The treatments are numbered 1,...,trt. The entry (i,j) of the design corresponds to the treatment the i-th subject gets in the j-th period.

Value

A matrix with trt!/(trt-k)! rows and k columns representing the experimental design.

Note

Requires the package gtools.

Author(s)

Oliver Sailer

References

Patterson, H.D. (1952): The construction of balanced designs for experiments involving sequences of treatments. Biometrika 39, 32-48.

Wakeling, I.N. and MacFie, H.J.H. (1995): Designing consumer trials balanced for first and higher orders of carry-over effect when only a subset of k samples from t may be tested. Food Quality and Preference 6, 299-308.

See Also

get.plan

Examples

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# Design for 4 treatments assigned in 3 periods.
# All possible treatment orders occur.
allcombs(4,3)