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The Joint Cumulants of True Values and Errors of Measurement

Author(s):
Lord, Frederic M.
Publication Year:
1958
Report Number:
RB-58-15
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
9
Subject/Key Words:
Error of Measurement, Statistical Distributions, True Scores

Abstract

Replicate fallible measurements on each of a large number of objects are used to estimate the multivariate cumulants of the joint frequency distribution of the true value and the errors of measurement. Simple, explicit formulas are given for all multivariate cumulants up through the fourth order. It is assumed only that each error of measurement has a mean of zero and is uncorrelated with other appropriate chance variables.

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