The Monte Carlo method was used, and the factors considered were (1) level of main effects in the population; (2) level of interaction effects in the population; (3) alpha level used in determining whether to pool; and (4) number of degrees of freedom. The results indicated that when the ratio degrees of freedom (axb)/degrees of freedom (within) was large (1/4), pooling resulted in a disturbance in the actual alpha for the main effect test. The magnitude and nature of the disturbance was dependent on the alpha level employed in testing the interaction effects. The use of an alpha of .25 for the interaction effects resulted in a congruence between actual alpha and nominal alpha, and a slight increase in power. (Author/CK)