Reeve, C.

NBS Internal Report 75-750; 38p. July 1975.

Keywords:
Angle standard; autocollimator; calibration; complete closure design; indexing table; least squares estimation; partial closure design; standard deviation; subdivision; variance-covariance matrix.

Abstract:
The indexing table plays a vital role in the calibration of angle standards at the National Bureau of Standards. It is often useful to know the values of several different intervals on the table as precisely as possible. The usual measurement designs call for a complete intercomparison of two tables which are being calibrated simultaneously. Two new types of measurement designs have been developed which call for only a fraction of this effort. One type of design subdivides the entire circle on each table into equal segments, and the other design subdivides these into smaller segments. Together the designs form a flexible system for calibrating any desired intervals on the two tables. Formulae are given for the propagation of random errors through all levels of subdivision. An example is included.

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