Approximations of Normal Range Revisited with New Tables for d2 and d3 - Factors.
POLYTECHNIC INST OF NEW YORK BROOKLYN DEPT OF MATHEMATICS
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Patnaiks X-approximation and Coxs X-squared-approximation to the normal mean range are revisited and many inaccurate entries discovered. Investigations revealed, among other reasons, that the original Tippetts calculations on d2 and d3 -factors were of inadequate accuracy. New tables for d2 and d3-factors as well as constants associated with Patnaiks and Coxs approximations are recomputed and tabulated . These new tables will be useful for revising the MIL-STD-414 range plans for inspection by variable and for the analysis of variance tests when ranges or mean ranges are used in place of sample variances or standard deviations, as well as for constructing limits for the cumulative sum charts for range variability. Author
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