A generative analysis of a three-dimensional spatial task

Abstract

The feasibility of incorporating research results from cognitive science into the modeling of performance on psychometric tests and the construction of test items is considered, particularly the feasibility of modeling performance on a three-dimensional rotation task within the context of item response theory (IRT). Three-dimensional items were selected because of the rich literature on the mental models that are used in their solution. An 80-item, three-dimensional rotation test was constructed. An inexpensive computer system was also developed to administer the test and record performance, including response-time data. Data were collected on high school juniors and seniors. As expected, angular disparity was a potent determinant of item difficulty. The applicability of IRT to these data was investigated by dichotomizing response time at increasing elapsed times, and applying standard item parameter estimation procedures. It is concluded that this approach to psychometric modeling, which explicitly incorporates information on the mental models examinees use in solving an item, is workable and important for future developments in psychometrics. Index terms: cognitive psychology, continuous response, item response theory, mental rotation, response latency.