On the Selection of Multi-Factor Experimental Arrangements with Resource Constraints
Abstract The selection of experimental arrangements with resource constraints is structured as a mathematical optimization problem: maximize experimental efficiency subject to resource constraints, maintaining an integer number of observations in each cell. Three previously published measures of efficiency are examined. It is shown that the resulting integer programs can be solved using a variation on the Lawler-Bell algorithm. Eleven examples with up to 82 binary variables are solved. These examples illustrate that the measures of efficiency are inconsistent. One, due to Wald, is recommended as superior on numerical grounds.