When sherd collections are enormous, it is extremely desirable to have procedures for discarding portions of the material which minimize risks of losing useful information and are easy to apply. It is suggested that sherd lots be made the sampling units. Lots from each provenience category relevant for a given problem can be listed, and then a random sample of lots from each category included in the sample. Since the value of a sample depends more on its absolute size than on the proportion of the population it represents, it is suggested that ceramic categories be roughly ranked according to their scarcity. A relatively small number of lots from each provenience category will provide an adequate sample of common ceramic categories, while a larger number of lots are needed for rare categories. This procedure insures that certain lots will be preserved in their entirety, while common sherd categories may be discarded from other lots if they do not add much to any sample of interest.