MetaMetrics, Inc., Australia.
Br J Math Stat Psychol. 2011 Nov;64(3):478-97. doi: 10.1348/2044-8317.002004. Epub 2010 Dec 7.
Psychometricians hypothesize that cognitive abilities such as reading, writing and spelling are measurable. However, they prefer to model item response probabilities than to study the internal structure of cognitive attributes. The theory of conjoint measurement, via its unique capacity to detect the quantitative structure of non-extensive attributes, can be used for the latter purpose. It is shown that conjoint systems analogous to the numerical composition rules advanced by the Rasch, many facet Rasch and two-parameter logistic models can be formulated using well-established axioms, representation theorems and proofs. Examples using empirical and synthetic data are presented. It was concluded that the lack of descriptive, behavioural theory remains the biggest obstacle to the scientific measurement of cognitive abilities.
心理学家假设，阅读、写作和拼写等认知能力是可衡量的。然而，他们更倾向于建立项目反应概率模型，而不是研究认知属性的内在结构。联合测量理论通过其独特的能力可以检测非广泛属性的数量结构，从而可以用于后者的目的。结果表明，类似于拉什、多方面拉什和二参数逻辑模型提出的数值构成规则的联合系统，可以使用既定的公理、表示定理和证明来构建。使用经验和合成数据的例子也被提出。结论是，缺乏描述性的行为理论仍然是科学测量认知能力的最大障碍。
