Design of Experiments Guide > Balanced Incomplete Block Designs
Publication date: 04/12/2021

Balanced Incomplete Block Designs

A Balanced Incomplete Block Design (BIBD) can be used when it is not possible to include all treatments or factor combinations in every block. Use BIBDs for testing a treatments in b blocks when only k treatments can be run in any one block (and k < a). For example, you might have a situation where there are limitations on the number of treatments that can be tested at the same time. The BIBD design is constructed such that each treatment and each pair of treatments occurs together in blocks an equal number of times. This makes the design balanced. Not including all treatments in every block makes the design incomplete.

Use the Balanced Incomplete Block Platform to construct BIBDs. In addition, you can use the platform to construct complete block designs where each treatment occurs in every block.

Figure 24.1 BIBD for 4 Treatments in 4 Blocks of Size 3 

BIBD for 4 Treatments in 4 Blocks of Size 3


Example of Balanced Incomplete Block Designs

Build a Balanced Incomplete Block Design

Specify Treatments, Blocks, and Make Design
Verify Design and Make Table

Balanced Incomplete Block Design Options

Statistical Details for Balanced Incomplete Block Designs

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