Kyngdon Andrew
University of New South Wales, Sydney, Australia.
J Appl Meas. 2006;7(4):369-93.
This article is the second in the series on unidimensional unfolding. Its aim was to test the quantitative component of Coombs's (1964) theory via an empirical application to subjective control in gambling behavior (Dickerson and Baron, 2000). It was found that approximately 96% of judgments upon bilateral stimulus pairs were as predicted by the theory of unidimensional unfolding. The double cancellation axiom of the theory of axiomatic conjoint measurement (ACM) (Krantz, Luce, Suppes and Tversky, 1971) was satisfied by the interstimulus midpoint order obtained from these judgments. These results supported previous unfolding studies on attitudes (Johnson, 2001; Michell, 1994). Exponential and linear relationships were found between the transformed scaling solutions of Coombs's (1964) theory and the SHCMpp (Andrich, 1995). The implications of these results were discussed. Additionally, the article presented both a formal theory of item construction (Michell, 1994) and an accessible demonstration of the Goode's algorithm scaling procedure.
本文是关于单维展开理论系列文章的第二篇。其目的是通过对赌博行为中主观控制的实证应用（迪克森和巴伦，2000）来检验库姆斯（1964）理论的定量部分。研究发现，对于双边刺激对的判断中，约96%符合单维展开理论的预测。从这些判断中获得的刺激间中点顺序满足了公理化联合测量理论（ACM）（克兰茨、卢斯、苏佩斯和特沃斯基，1971）的双重抵消公理。这些结果支持了先前关于态度的展开研究（约翰逊，2001；米歇尔，1994）。在库姆斯（1964）理论的变换标度解与SHCMpp（安德里奇，1995）之间发现了指数关系和线性关系。讨论了这些结果的含义。此外，本文还介绍了项目构建的形式理论（米歇尔，1994）以及古德算法标度程序的易懂演示。
