williams: Construction of Williams Designs
In crossdes: Construction of Crossover Designs
williams R Documentation
Construction of Williams Designs
Description
The function constructs williams designs. Williams designs are row-column designs. They are used if
each of the treatments in the study is given to each of the subjects. If the number of
treatments to be tested is even, the design is a latin square, otherwise it consists of two latin squares.
Usage
williams(trt)
Arguments
trt
An integer > 1, giving the number of treatments in the design.
Details
The resulting design is a (generalized) latin square that is also balanced for first order carryover effects.
Carryover balance is achieved with very few subjects.
In the experimental design 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 representing the experimental design.
Author(s)
Oliver Sailer
References
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.
Williams, E. J. (1949): Experimental designs balanced for the estimation of residual effects
of treatments. Australian Journal of Scientific Research, Ser. A 2, 149-168.
See Also
get.plan
Examples
williams(3)
williams(10)
crossdes documentation built on April 5, 2022, 1:14 a.m.
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| williams | R Documentation |
Construction of Williams Designs
Description
The function constructs williams designs. Williams designs are row-column designs. They are used if each of the treatments in the study is given to each of the subjects. If the number of treatments to be tested is even, the design is a latin square, otherwise it consists of two latin squares.
Usage
williams(trt)
Arguments
trt |
An integer > 1, giving the number of treatments in the design. |
Details
The resulting design is a (generalized) latin square that is also balanced for first order carryover effects. Carryover balance is achieved with very few subjects. In the experimental design 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 representing the experimental design.
Author(s)
Oliver Sailer
References
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.
Williams, E. J. (1949): Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Scientific Research, Ser. A 2, 149-168.
See Also
get.plan
Examples
williams(3) williams(10)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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