Construction of partially-replicated block designs by CycDesigN
This menu uses CycDesigN to form a partially-replicated block design.
The assumption in CycDesigN is that the experiment will contain incomplete-block designs conducted at several locations:
at each location, some treatments will occur only once, while the others will occur twice.
However, the treatments are all replicated the same number of times over the whole design.
Therefore, there is the constraint that the total number of units (or plots) in the design must be a multiple of the number of treatments.
Also, the number of units at each location must be greater than the number of treatments, and less than twice the number of treatments.
There are further constraints on the combinations of values specified for the number of blocks at each location,
and the number of replicated treatments in each block (i.e. the number of treatments in the block that occur twice at the location concerned).
If you are unsure what to fill in for these items, you can leave them blank. Genstat will then prompt you with the feasible
combinations if several are available for the specified numbers of treatments, locations and units per location
(or use the only feasible combination if there is no choice).
Number of treatments
A scalar specifying the number of treatments.
Number of locations
A scalar specifying the number of locations to be used in the experiment.
Number of units per location
A scalar specifying the number of units (or plots) at each location.
Number of blocks
A scalar specifying the number of blocks at each location.
Number of replicated treatments per block
A scalar specifying the number of treatments in each block that will occur twice at the location containing the block.
Seed
A scalar specifying a seed used by Genstat to select seeds for the random numbers used by CycDesigN to construct and randomize the design.
Printed output
design
displays the design
report
displays a report from CycDesigN about the design
block numbers
displays the feasible block sizes, and corresponding minimum and maximum numbers of replicated treatments in each block
Store design in spreadsheet
Whether to put the design factors into a spreadsheet.
Treatments
A factor to save the levels generated for the treatment factor.
Locations
A factor to save the levels generated for the location factor.
Blocks
A factor to save the levels generated for the block factor.
Units
A factor to save the levels generated for the unit-within-block factor.