In this paper the outgoing quality and the total inspection under sampling for attributes are introduced as well-defined random variables. The variances of these random variables under total rectification are presented and are depicted graphically. The thrust of the paper is to establish criteria for minimum variance sampling plans and lo present techniques for their determination. In addition to providing minimum variance sampling plans, a technique is developed for designing sampling plans with a designated maximum variance, a VOQL plan. The VOQL concept is analagous to the AOQL concept except in the VOQL plan, it is the variance which is maximized instead of the usual expected value of OQ.