This report presents a collection of designs for the intercomparison of sets of weights for use in precision calibration of standards of mass. These include a number of previously unpublished designs which have an additional weight in each set to serve as the check standard for monitoring the performance of the weighing process. Also included are the classical designs of Benoit and Hayford. The complete least squares analysis is presented in integer form (i.e., with a common division) for the most widely used designs; and for the others, the standard deviations are given for various weight combinations when used as an ascending or as a descending series. Designs for sets of nominally equal objects, the 2 2 ... 1 1 ... series, the binary sequences, the 5 2 2 1 1 series, and the 5 3 2 1 1 and some miscellaneous series are given.

The ever-changing fields of science and technology have made huge leaps, thanks in part to improvements in measurements. Without metrology, these areas may not have experienced exponential growth. Developed by experts in the field as a comprehensive and practical reference, The ASQ Metrology Handbook, Third Edition provides a foundation for understanding metrology as well as calibration principles and practices. This handbook is ideal for not only metrology professionals, but also calibration professionals including calibration technicians and technologists, quality professionals, workers in testing laboratories, consultants, and instructors. Whether you are entering a new phase of your career field, investing in your own continuous improvement journey, training your fellow calibration practitioners, or preparing for ASQ’s Certified Calibration Technician (CCT) exam, this handbook provides the information, guidance, and knowledge to help you achieve your goals. New to this Third Edition: • A thorough explanation of ISO/IEC 17025:2017 • The 2019 Redefinition of the International System of Units • Updated and expanded chapters, including information about training and competency, software validation, statistics, decision rules and risk, uncertainty in measurement, mass and weighing, force, and chemical and biological measurements and uncertainties