Abstract
A TYPE of problem of estimation with which one meets in the theory of mental factors is this: a team of n tests zi (i = 1, 2.., n) has been analysed into r common factors foa (α = 1, 2, r) and n specifics f1i, all of which are normalized and uncorrelated, but otherwise unknown. The observed test-scores (in standard measure) can then, in matrix notation, be represented as follows. where the column vectors z, f0 and f1 indicate the tests, the common factors and the specifics respectively. The matrices M0 and M1 whose elements are the loadings of the tests with the hypothetical factors, are regarded as known. When it is desired to estimate the common factors in terms of the test-scores, the usual regression method leads to the formula: where &fcirc;0 is the estimate of f0.
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LEDERMANN, W. A Shortened Method of Estimation of Mental Factors by Regression. Nature 141, 650 (1938). https://doi.org/10.1038/141650a0
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DOI: https://doi.org/10.1038/141650a0
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