Working Paper Article Version 1 This version is not peer-reviewed

Correcting the Correction: A Revised Formula to Estimate Partial Correlations between True Scores

Version 1 : Received: 23 December 2020 / Approved: 25 December 2020 / Online: 25 December 2020 (12:17:02 CET)

A peer-reviewed article of this Preprint also exists.

Wetcher-Hendricks, D. Correcting the Correction: A Revised Formula to Estimate Partial Correlations between True Scores. Psych 2021, 3, 19-24. Wetcher-Hendricks, D. Correcting the Correction: A Revised Formula to Estimate Partial Correlations between True Scores. Psych 2021, 3, 19-24.

Abstract

Bohrnstedt’s (1969) attempt to derive a formula to compute the partial correlation coefficient and simultaneously correct for attenuation sought to simplify the process of performing each task separately. He suggested that his formula, developed from algebraic and psychometric manipulations of the partial correlation coefficient, produces a corrected partial correlation value. However, an algebraic error exists within his derivations. Consequently, the formula proposed by Bohrnstedt does not appropriately represent the value he intended it to estimate. By correcting the erroneous step and continuing the derivation based upon his proposed procedure, the steps outlined in this paper ultimately produce the formula that Bohrnstedt desired.

Keywords

Classical Test Theory; Classical True-Score Theory; Correction for Attenuation; Partial Correlation Coefficient

Subject

Business, Economics and Management, Accounting and Taxation

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