A Multidimensional Pairwise Comparison Model for Heterogeneous Perceptions with an Application to Modelling the Perceived Truthfulness of Public Statements on COVID-19

A Multidimensional Pairwise Comparison Model for Heterogeneous Perceptions with an Application to Modelling the Perceived Truthfulness of Public Statements on COVID-19
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异质感知的多维成对比较模型及其对 COVID-19 公开声明感知真实性建模的应用

DOI:
10.1111/rssa.12810
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发表时间:
2022
期刊:
Journal of the Royal Statistical Society Series A: Statistics in Society
影响因子:
--
通讯作者:
Quinn, Kevin M.
Quinn, Kevin M.
中科院分区:
--
文献类型:
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作者:
Yu, Qiushi;Quinn, Kevin M.

文献摘要

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两两比较模型是潜在属性度量模型的一种重要类型,在社会科学和行为科学中有着广泛的应用。目前的两两比较模型通常是一维的。现有的多维成对比较模型往往难以解释,而且它们无法识别具有相同评分者特定参数的评分者群体。为了填补这一空白,我们提出了一个新的多维成对比较模型,该模型具有增强的可解释性,它明确地模拟了不同维度上的对象属性是如何被评分者差异感知的。此外,我们在评分者特定的参数之前添加了Dirichlet过程,这允许我们灵活地将评分者分组到具有相似感知取向的组中。我们进行了仿真研究,表明新模型能够从观测的二元选择数据中恢复真实的潜在变量值。我们使用新模型对2020年夏天收集的关于新冠肺炎声明真实性的原始调查数据进行了分析。通过利用新模型的优势,我们发现演讲者的党派之争和受访者的党派之争是感知真实性差异的主要原因,协议方的陈述被认为更真实。
Pairwise comparison models are an important type of latent attribute measurement model with broad applications in the social and behavioural sciences. Current pairwise comparison models are typically unidimensional. The existing multidimensional pairwise comparison models tend to be difficult to interpret and they are unable to identify groups of raters that share the same rater‐specific parameters. To fill this gap, we propose a new multidimensional pairwise comparison model with enhanced interpretability which explicitly models how object attributes on different dimensions are differentially perceived by raters. Moreover, we add a Dirichlet process prior on rater‐specific parameters which allows us to flexibly cluster raters into groups with similar perceptual orientations. We conduct simulation studies to show that the new model is able to recover the true latent variable values from the observed binary choice data. We use the new model to analyse original survey data regarding the perceived truthfulness of statements on COVID‐19 collected in the summer of 2020. By leveraging the strengths of the new model, we find that the partisanship of the speaker and the partisanship of the respondent account for the majority of the variation in perceived truthfulness, with statements made by co‐partisans being viewed as more truthful.