Adjustment of Statistics from Coarse Measurements

P. L. Goldsmith

Journal of the Royal Statistical Society Series C, 1968, vol. 17, issue 3, 264-270

Abstract: When measurement intervals are very coarse, Sheppard's Corrections fail to make proper adjustments to moment statistics calculated from a sample. An intersection chart has been constructed to convert an observed pair of (x¯,s) values to estimates of the corresponding population parameters (μ, σ), assuming that the underlying distribution is Normal. In terms of the width of a measurement interval as unit, the chart will be found useful for values of σ between 0·25 and 0·60. The method can be applied for example to coarse measurements of fibre diameters or to the values on a scale of “standards”. The choice between taking a large number of coarse readings and a smaller number of more precise measurements is also discussed.

Date: 1968
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