Correcting Partial, Multiple and Canonical Correlations for the Attenuation of Measurement Error.

This paper, a revision of the original document, "Correcting Partial, Multiple, and Canonical Correlations for Attenuation" (see TM 000 535), presents the formula for correcting coefficients of partial correlation for attenuation due to errors of measurement. In addition, the correction for attenuation formulas for multiple and cannonical correlations are discussed. The attenuating effects of measurement error are examined algebraically for a special case of partial correlation and multiple correlation. Finally, the formula for the corrected partial r is related to recent work on the measurement of change. (Author/AG)