rectlattice

is the required block size and must be the integer square root of the required number of treatments

is the required number of replicates

Internal function constructs rectangular lattice designs for resolvable nested block designs with 
v*(v-1) treatments, r complete replicate blocks and nested blocks of size v.
Returns a rectangular lattice for v*(v-1) treatments and r replicates whenever a square lattice with v*v 
treatments and r+1 replicates exists; see <code><a rd-options="blocksdesign" href="/link/squarelattice?package=blocksdesign&version=4.9&to=blocksdesign" data-mini-rdoc="blocksdesign::squarelattice">squarelattice</a></code> for square lattice designs.
See Cochran and Cox, Experimental Designs, 2nd Edition, Page 417 (Shrikhande method).

internal

Constructs treatment and block designs for linear treatment models
with crossed or nested block factors. The treatment design can be any feasible
linear model and the block design can be any feasible combination of crossed or
nested block factors. The block design is a sum of one or more block factors
and the block design is optimized sequentially with the levels of each successive
block factor optimized conditional on all previously optimized block factors.
D-optimality is used throughout except for square or rectangular lattice block designs
which are constructed algebraically using mutually orthogonal Latin squares.
Crossed block designs with interaction effects are optimized using a weighting scheme
which allows for differential weighting of first and second-order block effects.
Outputs include a table showing the allocation of treatments to blocks and tables showing
the achieved D-efficiency factors for each block and treatment design.
Edmondson, R.N. Multi-level Block Designs for Comparative Experiments.
JABES 25, 500<e2><80><93>522 (2020) <doi:10.1007/s13253-020-00416-0>.

Rodney Edmondson

blocksdesign

Nested and Crossed Block Designs for Factorial and Unstructured
Treatment Sets

rectlattice function

Internal function constructs rectangular lattice designs for resolvable nested block designs with 
v*(v-1) treatments, r complete replicate blocks and nested blocks of size v.
Returns a rectangular lattice for v*(v-1) treatments and r replicates whenever a square lattice with v*v 
treatments and r+1 replicates exists; see <code><a rd-options='blocksdesign' href='squarelattice'>squarelattice</a></code> for square lattice designs.
See Cochran and Cox, Experimental Designs, 2nd Edition, Page 417 (Shrikhande method).

rectlattice: Rectangular lattice designs

Description

Usage

Arguments

References