A Study in Educational Prognosis

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As either the same tests or tests similar to those given in 1916 had been repeated one year later, the two independent measures necessary for this correction for "attenuation" due to chance errors, are at hand. By utilizing the raw Pearson coefficients of correlation of Table Q, it is possible to present the corrected coefficients in Table R. The formula^ used is ^M= I If Visual Vocabulary and Eeading are the measures to be related, let A equal the former and B the latter. Let p be a series of ...exact measures of A, and q be the related series of exact measures of B. Let r^, be the coefficient of correlation of A and B, obtainable from the two series p and q. r,,, is thus, ac- cording to this theory that errors are due to chance errors in the data, the required true coefficient. Let p^ and p^ be two inde- pendent series of measures of A, and q^ and q^ two independent series of measures of B. Let rj,i,2 be the correlation when the first measure of A and the second measure of B are used, and rp2gi be the correlation when the second measure of A and the first measure of B are used.

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