blocksdesign - Nested and Crossed Block Designs for Factorial and Unstructured
Treatment Sets
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, 500–522 (2020)
<doi:10.1007/s13253-020-00416-0>.
