This article criticizes conclusions drawn from the standard test of correlated proportions when the dependent measure contains error. It presents a tutorial on a new method of analysis based on the true and error (TE) theory. This method allows the investigator to separate measurement of error from substantive conclusions about the effects of the independent variable, but it requires replicated measures of the dependent variable. The method is illustrated with hypothetical examples and with empirical data from tests of lexicographic semiorder (LS) models proposed as descriptive theories of risky decision making. LS models imply a property known as interactive independence. Data from two previous studies are reanalyzed to test interactive independence. The new analyses yielded clear answers: interactive independence can be rejected; therefore, LSs can be rejected as descriptive, even when the most flexible error model is allowed. The new methods of analysis can be applied to situations in which the test of correlated proportions would be applied, where it is possible to obtain repeated measures. (PsycInfo Database Record (c) 2023 APA, all rights reserved).

中文翻译：

---

真实和误差分析而不是相关比例检验：我们可以用误差理论来保存字典序半序模型吗？

当相关测量包含错误时，这篇文章批评了从相关比例的标准测试得出的结论。它介绍了一种基于真实和误差 (TE) 理论的新分析方法的教程。这种方法允许研究人员将误差测量与关于自变量影响的实质性结论分开，但它需要对因变量进行重复测量。该方法通过假设示例和作为风险决策的描述性理论的词典半序 (LS) 模型测试的经验数据进行说明。LS 模型暗示了一种称为交互独立性的属性。重新分析之前两项研究的数据以测试交互独立性。新的分析给出了明确的答案：交互独立性可以被拒绝；所以，LSs 可以被拒绝为描述性的，即使在允许最灵活的错误模型时也是如此。新的分析方法可以应用于应用相关比例测试的情况，在这种情况下可以获得重复测量。（PsycInfo 数据库记录 (c) 2023 APA，保留所有权利）。