SOME ASPECTS OF CONSTRAINED RANDOMIZATION
Interim technical rept.
IOWA STATE UNIV IOWA CITY
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The definition of constrained sets of plans and the problems to be considered are given. A correspondence between constrained sets of plans and RT x RT square arrays and a correspondence between constrained sets of plans and resolvable balanced incomplete block designs are given. These correspondences led to the enumeration of many constrained designs. Some relationships between the variance of the error sum of squares under complete randomization and under constrained randomization are given. The power of the randomization test under constrained randomization was considered for nearly linearly, randomly, and semi-randomly distributed basal yields. The empirical results exhibit a tendency of the sensitivity of the test for the detection of treatment differences to increase with decreases in the variance of the error sum of squares of the constrained sets.
- Statistics and Probability