blocksdesign (version 3.0)
Nested and Crossed Block Designs for Factorial, Fractional
Factorial and Unstructured Treatment Sets
Description
Constructs D-optimal or near D-optimal nested and crossed
block designs for unstructured or general factorial treatment designs.
Where a structured treatment design is required, a D-optimal or near
D-optimal treatment design is found based on a suitable model
matrix design formula. The required block design is then found for the
required treatment design based on a defined set of block factors.
The block factors are added in sequence and each added block factor
is optimized conditional on all previously added block factors.
The block design can have repeated nesting down to any required
depth of nesting with either a simple set of nested blocks or a
crossed blocks design at each level of nesting. If a crossed
blocks design has more than a single plot in each crossed blocks
intersection, the determinant of a weighted combination of the
information matrix for additive crossed blocks effects and the
information matrix for multiplicative crossed blocks effects
is used as the design criterion. 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.