Replication data for: Mokken Scale Analysis: A Nonparametric Version of Guttman Scaling for Survey Research

This article introduces a model of ordinal unidimensional measurement known as Mokken scale analysis. Mokken scaling is based on principles of Item Response Theory (IRT) that originated in the Guttman scale. I compare the Mokken model with both Classical Test Theory (reliability or factor analysis) and parametric IRT models (especially with the one-parameter logistic model known as the Rasch model). Two nonparametric probabilistic versions of the Mokken model are described: the model of Monotone Homogeneity and the model of Double Monotonicity. I give procedures for dealing with both dichotomous and polytomous data, along with two scale analyses of data from the World Values Study that demonstrate the usefulness of the Mokken model.

本文介绍了一种被称为莫肯量表分析（Mokken scale analysis）的单维序次测量模型。莫肯量表分析基于起源于古特曼量表的项目反应理论（Item Response Theory, IRT）原理。本文将莫肯模型与经典测验理论（包括信度分析或因素分析）以及参数化项目反应理论模型（尤其是被称为拉希模型（Rasch model）的单参数逻辑斯蒂模型）进行了对比。本文阐述了莫肯模型的两类非参数概率形式：单调同质性模型与双重单调性模型，并提供了针对二分数据与多分数据的处理流程，同时结合两项基于世界价值观调查（World Values Study）数据的量表分析实例，验证了莫肯模型的应用价值。