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JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact support@jstor.org.. International Biometric Society is collaborating with JSTOR to digitize, preserve and extend access to Biometrics. SUMMARYWhen some treatments (checks) are replicated r times and other treatments (new treatments) are replicated less than r times, an augmented desigii may be used. These designs may be minimum variance designs for estimating contrasts of check effects, of new variety effects, of new variety versus checks, or of all check and new varieties simultaneously. In this paper optimal augmented block and optimal augmented row-column designs for estimating certain contrasts of new treatments are presented.

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Summary The randomized response technique appears to have been an innovative and useful procedure for eliciting reliable responses from individuals on sensitive or embarrassing questions. In this paper a new and alternative method is proposed for the same problem. Through the use of supplemented block, (v, k, r, b. λ) balanced incomplete block, and spring balance weighing designs, the individual is required to give a total of the responses to k questions, sensitive or not. From these block totals it is possible to obtain estimated responses for each of the v questions used in the survey, yet not obtain individual response to single questions. Anonymity of response for a single interviewee is thus maintained. Estimators and their variances for the estimated responses are obtained. The method allows the surveyor to obtain answers to several sensitive questions without being unduly time‐consuming.