Detecting Violations of Unidimensionality by Order-Restricted Inference Methods

Frontiers in Applied Mathematics and Statistics

Kyngdon, Andrew¹  Heene, Moritz²  Sckopke, Philipp³ 

[1] Faculty of Education, Graduate School of Education, University of Western Australia, Perth, WA, Australia;Learning Sciences Research Methodologies, Department of Psychology, Ludwig Maximilian University of Munich, Munich, Germany;Psychological Methods and Psychological Diagnostics, Department of Psychology, Ludwig Maximilian University of Munich, Munich, Germany

关键词: additive conjoint measurement;    Rasch model;    Nonparametric methods;    Scaling theory;    unidimensionality;    model fit;   

DOI  :  10.3389/fams.2016.00003

学科分类：数学（综合）

来源: Frontiers

【 摘 要 】

The assumption of unidimensionality and quantitative measurement represents one of the key concepts underlying most of the commonly applied of item response models. The assumption of unidimensionality is frequently tested although most commonly applied methods have been shown having low power against violations of unidimensionality whereas the assumption of quantitative measurement remains in most of the cases only an (implicit) assumption. On the basis of a simulation study it is shown that order restricted inference methods within a Markov Chain Monte Carlo framework can successfully be used to test both assumptions.

【 授权许可】

CC BY