Ordinal response scales: Psychometric grounding for design and analysis

Lukas Sönning
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Abstract

Ordinal response scales are commonly used in applied linguistics. To summarize the distribution of ratings or judgments provided by informants, these are usually converted into numbers and then averaged or analyzed with ordinary regression models. This approach has been criticized in the literature; one caveat (among others) is the assumption that distances between categories are known. The present paper illustrates how empirical insights into the perception of response labels may inform the design and analysis stage of a study. We start with a review of how ordinal scales are used in linguistic research. Our survey offers insights into typical scale layouts and analysis strategies, and it allows us to identify three commonly used rating dimensions (agreement, intensity, and frequency). We take stock of the experimental literature on the perception of relevant scale point labels and then demonstrate how psychometric insights may direct scale design and data analysis. This includes a careful consideration of measurement-theoretic and statistical issues surrounding the numeric-conversion approach to ordinal data. We focus on the consequences of these drawbacks for the interpretation of empirical findings, which will enable researchers to make informed decisions and avoid drawing false conclusions from their data. We present a case study on yous(e) in two varieties of English, which shows that reliance on psychometric scale values can alter statistical conclusions, while also giving due consideration to the key limitations of the numeric-conversion approach to ordinal data analysis.
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序数反应量表:设计和分析的心理基础
顺序反应量表通常用于应用语言学。为了总结信息提供者提供的评分或判断的分布情况,通常将其转换成数字,然后求平均值或用普通回归模型进行分析。这种方法在文献中饱受批评;其中一个注意事项是假设类别之间的距离是已知的。本文阐述了如何通过经验来了解人们对回应标签的感知,从而为研究的设计和分析阶段提供参考。我们首先回顾了语言学研究中如何使用顺序量表。通过调查,我们了解了典型的量表布局和分析策略,并确定了三个常用的评分维度(同意度、强度和频率)。我们对相关量表点标签感知的实验文献进行了总结,然后展示了心理测量学的见解如何指导量表设计和数据分析。这包括对测量理论和统计问题的仔细考虑,这些问题围绕着对序数数据的数字转换方法。我们将重点放在这些弊端对实证研究结果解释的影响上,这将使研究人员能够做出明智的决定,避免从数据中得出错误的结论。我们以两种英语中的 yous(e)为案例,说明依赖心理测量量表值可能会改变统计结论,同时也适当考虑了数字转换法在序数数据分析中的主要局限性。
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