The completely randomized design is an experimental plan that divides all available experimental units into blocks of fairly homogeneous units - each block containing as many units as there are treatments or some multiple of that number - and then randomly matches each treatment with one or more units within each block.

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The description given is for a randomized block design, not a completely randomized design. In a completely randomized design, all experimental units are assigned randomly to treatments without forming blocks of homogeneous units.

The Completely Randomized Design Is an Experimental Plan That Divides