Nested block designs for unstructured treatment sets where blocks
can be repeatedly nested and treatments can have different levels of
replication. Blocks are optimized hierarchically from the top down with each set of
nested blocks optimized within the levels of any existing higher-level blocks.
Block sizes are equal if the number of blocks exactly divides the number of plots,
otherwise they differ by at most one plot. The design output is a data
table giving a randomised allocation of treatments to blocks together with
a plan table showing treatments in blocks and a set of blocks-by-treatments
incidence matrices, one for each blocks stratum.

Nested block designs for unstructured treatment sets where
blocks can be repeatedly nested and treatments can have different levels of
replication. Blocks are optimized hierarchically from the top down with each
set of nested blocks optimized within the levels of any existing higher-level
blocks. Block sizes are equal if the number of blocks exactly divides the number
of plots, otherwise they differ by at most one plot. The design output is a
data table giving a randomised allocation of treatments to blocks together with
a plan table showing treatments in blocks and a set of blocks-by-treatments
incidence matrices, one for each blocks stratum.

Constructs nested and crossed block designs
for unstructured treatment sets with arbitrary replication not necessarily all equal.
Blocks can be nested to any required depth of nesting and blocks are optimized
hierarchically from the top down with successive nested blocks strata optimized within
the levels of all preceding blocks strata. Block sizes are all equal in any one stratum if the number
of blocks in that stratum exactly divides the number of plots, otherwise they differ by at most one plot.
The design output is a data table showing a randomised allocation of treatments to blocks together with
plans showing the allocation of treatments to blocks for each block in the bottom stratum of the design.
D and A-efficiency factors are shown for each stratum together with A-efficiency upper bounds,
where available.