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Publication date: 06/21/2023

Specify Treatments, Blocks, and Make Design

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.

Verify Design and Make Table

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.

Want more information? Have questions? Get answers in the JMP User Community (community.jmp.com).