Comments on articles by Botvinick et al. and Jacob et al. M. M. Botvinick, T. S. Braver, D. M. Barch, C. S. Carter, and J. D. Cohen (2001) implemented their conflict-monitoring hypothesis of cognitive control in a series of computational models. The authors of the current article first demonstrate that M. M. Botvinick et al.'s (2001)…

Conjunctive item response models are introduced such that: (1) sufficient statistics for latent traits are not necessarily additive in item scores; (2) items are not necessarily locally independent; and (3) existing compensatory (additive) item response models including the binomial, Rasch, logistic, and general locally independent model are…

An experimental study of the efficiency of human information processing is based on the Bayesian model for simple hypothesis testing with fixed binomial sampling. Each of 60 subjects is analyzed with separate ANOVAs focusing on two efficiency variables. Sample size and critical value are also analyzed. Subjects show very different utilization of…

Building on Bloom's, and subsequent educational taxonomies, a larger, synthetic, theoretical basis, called the process hierarchy theory, is developed. Its relationship to general systems theory and its metatheoretical context are described. A general methodology for empirically testing aspects of the theory using mathematical modeling is explored.…

Multinomial modeling--a methodology that can be used to measure and study cognitive processes--is discussed, and applications are presented. This statistically based technique involves estimating hypothetical parameters that represent the probabilities of unobservable cognitive events and is compatible with computational theories of cognition.…

Mental-rotation task response times from 12 studies involving 505 adults--251 males and 254 females--were used to evaluate 5 hypotheses concerning sex differences derived from an X-linked genetic model. The model assumes that task facilitation in speed of mental rotation is mediated by a recessive gene. Four hypotheses derived from the model were…

When learning is taking place, students test their hypotheses and evaluate them, and modify their current theories on the basis of new information. This phenomenon is known as "hypothesis testing view" or "theory changes." Many students change their rules to another while they are taking a test. This study introduced a new…

This investigation compares overt judgments about tenable hypotheses to choices in a concept identification task, as a function of stimulus similarity on successive trials. Two mathematical models are tested: (a) A 1-element local consistency version of Restle's concept identification model and (b) the same model with two additional passive states…

Statistical methods employed to test individual differences in dual-task performance and the existence of a general time-sharing ability are reviewed and critiqued. Specifically, both the types of data being collected and the types of data analysis procedures have been inadequate to the critical evaluation of a hypothetical…

Case-based reasoning (CBR) focuses on analogy in the context of solving real-world problems. Its research methodology of computational modeling is aimed at deriving hypotheses about cognition. As a plausible educational model, CBR can help refine education philosophy and practice and contribute to the design of educational software. (SLD)

A study involving 103 male and 117 female students entering a major urban university assessed the interaction between test anxiety and skill deficits. The effects of prior achievement and test anxiety on performance on two competency exams were also examined. Instruments consisted of minimum competency tests for reading comprehension and…

The use of restricted item response models to test hypotheses regarding item difficulty ordering and slope uniformity was demonstrated in a study in which 597 algebra students were asked to solve word problems reflecting various types of cognitive processing. Benefits and limitations of the procedures are discussed. (SLD)

The study examines the rule space model, a probabilistic model capable of measuring cognitive skill acquisition and of diagnosing erroneous rules of operation in a procedural domain. The model involves two important components: (1) determination of a set of bug distributions (bug density functions representing clusters around the rules); and (2)…