Abstract
IF is a column vector of t elements representing scores in t tests, and s a column vector of t + 1 elements of which the first, s0, represents Spearman's g and the rest his specific factors, then = Ls represents t Spearman equations giving the com-position of the ‘s, which will in that case be perfectly hierarchical. Here L is an oblong matrix of t rows and t + 1 columns. Its first column is {l1 l2 It} where lt is the correlation of i with g. The principal diagonal of the remainder of L is (m1 m2 mt) where m2i = 1 — l2i. The remaining elements in L are zero.
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THOMSON, G. The Orthogonal Matrix transforming Spearman's Two-Factor Equations into Thomson's Sampling Equations in the Theory of Ability. Nature 134, 700 (1934). https://doi.org/10.1038/134700c0
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DOI: https://doi.org/10.1038/134700c0
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