The following design options are available for Balanced Incomplete Block Designs:
Treatment Name
The name of the treatment factor.
Treatment Size
The number of treatments.
Tip: Treatments can be factor-level combinations.
Treatment Labels
Labels for the treatments. The default labeling is L1 to La where a is the total number of treatments.
Block Name
The name of the blocking factor.
Block Size
The number of treatments that can be run in any one block.
Note: Values for Block Size are determined by the number of treatments. If a value is not in the list, it is because the BIBD platform cannot create a design with that block size for the given number of treatments.
Allowable Blocks
Allowable number of blocks in the design based on the number of treatments and the block size.
Include Block Multiples
Allows for the selection of a design with the number of blocks equal to a multiple (that you specify) of the initial allowable block sizes. The additional (multiple) blocks are cyclic permutations of the original design.
Specify Multiplier
(Available when Include Block Multiples is selected.) Multiplier that you want to apply to the initial allowable block sizes.
Make Design
Generates the design.
Once you generate a Balanced Incomplete Block Design, use the following sections to evaluate and save the design.
Block Design
Shows the BIBD in a traditional design layout.
Make Table
Creates the BIBD data table.
Include order column
Includes a column in the design table for the order of runs within each block.
Design
Shows the BIBD in a block layout where each row represents a block and the treatments in that block.
Incidence Matrix
Shows the treatments that occur in each block. Each row of the matrix corresponds to a block in the design with a 1 if the treatment is in the block and 0 otherwise.
Pairwise Treatment Frequencies
Shows the number of times each treatment occurs in the same block with every other treatment on the off-diagonal entries. The diagonal entries are the total number of times each treatment occurs.
Positional Frequencies
Shows the number of times each treatment occurs in each block position.