Anders Royce, Batchelder William H
University of California, Irvine, USA,
Psychometrika. 2015 Mar;80(1):151-81. doi: 10.1007/s11336-013-9382-9. Epub 2013 Dec 7.
A Cultural Consensus Theory approach for ordinal data is developed, leading to a new model for ordered polytomous data. The model introduces a novel way of measuring response biases and also measures consensus item values, a consensus response scale, item difficulty, and informant knowledge. The model is extended as a finite mixture model to fit both simulated and real multicultural data, in which subgroups of informants have different sets of consensus item values. The extension is thus a form of model-based clustering for ordinal data. The hierarchical Bayesian framework is utilized for inference, and two posterior predictive checks are developed to verify the central assumptions of the model.
开发了一种用于有序数据的文化共识理论方法，从而产生了一种新的有序多分类数据模型。该模型引入了一种测量反应偏差的新方法，还测量了共识项目值、共识反应量表、项目难度和信息提供者知识。该模型扩展为有限混合模型，以拟合模拟的和真实的多元文化数据，其中信息提供者的子群体具有不同的共识项目值集。因此，这种扩展是一种基于模型的有序数据聚类形式。利用分层贝叶斯框架进行推断，并开发了两个后验预测检验来验证模型的核心假设。
