7.6. Durbin’s Test for Balanced Incomplete Blocks
In the randomized complete block design, every treatment is applied in every block. However, it is sometimes impractical or impossible for all of the treatments to be applied to each block, especially when the number of treatments is large and the block size is limited. Experimental designs in which not all treatments are applied to each block are called incomplete block designs. If the design is balanced so that every block contains c experimental units, every treatment appears in u blocks, and every treatment appears with every other treatment an equal number of times, the design is then called a balanced incomplete block design.
Durbin (1951) presented a rank test that can be used to test ...
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