克朗巴赫阿尔法:起源、问题和替代方案

Rohit Vishal Kumar
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摘要

评估量表信度最广泛使用的指标是克朗巴赫α。自 Lee Cronbach 于 1951 年提出该指标以来,它已发展成为量表信度的公认基准。在谷歌学术中快速搜索 "克朗巴赫α",可以得到 80 多万条结果。无论从哪个角度看,这都是一个巨大的数字,而且α的使用似乎几乎遍及学术界的每一个领域。α如此成功的事实令人惊讶,因为研究人员一直在批评并指出它存在的大量问题。例如,克朗巴赫从未建议将阿尔法作为信度指标--相反,他建议将阿尔法作为测试-重测背景下等效性的替代测量指标。另一个问题是,克朗巴赫从未建议将 0.70 作为信度的下限。然而,0.70 的下限已成为量表信度的圣杯。尽管α 存在诸多问题,但它仍然是所有量表信度测量方法中的佼佼者。本文探讨了阿尔法的历史、基于经典测验理论的推导及其局限性。然后,文章提出了三种可供选择的测量方法,以及计算这些方法的软件程序:带置信区间的 α、Ω 和最大下限。本文旨在让研究人员更好地了解克朗巴赫α的局限性,并让他们了解其他可用的信度测量方法。希望这篇文章能帮助研究人员在研究工作中报告更好、更准确的信度测量方法,以及阿尔法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Cronbach’s Alpha: Genesis, Issues and Alternatives
The most widely used metric for assessing a scale’s reliability is Cronbach’s alpha. Since its introduction in 1951 by Lee Cronbach, it has evolved into the accepted benchmark for scale reliability. A quick search for ‘Cronbach’s alpha’ in Google Scholar yields more than 8 hundred thousand results. By any measure, this is enormous, and the usage of alpha appears to be present in practically every domain of academics. The fact that alpha has been so successful is surprising, as researchers have consistently criticised and have pointed out a plethora of problems with it. For instance, is that Cronbach never suggested alpha as a reliability metric—rather he proposed alpha as an alternative measure for equivalency in a test-retest context. Another issue Cronbach never suggested the lower bound of 0.70 as a benchmark of reliability. However, the lower bound of 0.70 has become the holy grail of scale reliability. Alpha continues to lead all measures of scale reliability despite its numerous issues. This article examines the history of alpha, its derivations based on classical test theory, and its limitations. It then suggests three alternative measures, along with software procedures to calculate them: alpha with confidence interval, omega and greatest lower bound. The purpose of this article is to enable researchers to have a better idea about the limitations of Cronbach’s alpha, and to make them aware of other measures of reliability which are available. It is hoped that this article will help researchers report better and more accurate reliability measures in their research works alongside the alpha.
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