Attenuation-Corrected Estimators of Reliability.

IF 1 4区心理学 Q4 PSYCHOLOGY, MATHEMATICAL

Applied Psychological Measurement Pub Date : 2022-11-01 Epub Date: 2022-09-15 DOI:10.1177/01466216221108131

Jari Metsämuuronen

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引用次数: 5

Abstract

The estimates of reliability are usually attenuated and deflated because the item-score correlation ( $ρ_{g X}$ , Rit) embedded in the most widely used estimators is affected by several sources of mechanical error in the estimation. Empirical examples show that, in some types of datasets, the estimates by traditional alpha may be deflated by 0.40-0.60 units of reliability and those by maximal reliability by 0.40 units of reliability. This article proposes a new kind of estimator of correlation: attenuation-corrected correlation (R _AC ): the proportion of observed correlation with the maximal possible correlation reachable by the given item and score. By replacing $ρ_{g X}$ with R _AC in known formulas of estimators of reliability, we get attenuation-corrected alpha, theta, omega, and maximal reliability which all belong to a family of so-called deflation-corrected estimators of reliability.

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可靠性的衰减校正估计。

可靠性的估计通常是衰减和收缩的，因为在最广泛使用的估计中嵌入的项目得分相关性(ρ g X, Rit)受到估计中几个机械误差来源的影响。实证表明，在某些类型的数据集中，传统的alpha估计可能会减少0.40-0.60个单位的信度，而最大信度估计可能会减少0.40个单位的信度。本文提出了一种新的相关估计量:衰减校正相关(attenuation-corrected correlation, R AC)，即观测到的相关与给定项目和得分所能达到的最大可能相关的比例。通过在已知的可靠性估计公式中用rac代替ρ g X，我们得到衰减校正的α， θ，和最大可靠性，它们都属于所谓的紧缩校正的可靠性估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Psychological Measurement Multiple-

CiteScore

2.30

自引率

8.30%

发文量

期刊介绍： Applied Psychological Measurement publishes empirical research on the application of techniques of psychological measurement to substantive problems in all areas of psychology and related disciplines.