Signal detection theory (SDT) makes the frequently challenged assumption that decision criteria have no variance. An extended model, the Law of Categorical Judgment, relaxes this assumption. The long accepted equation for the law, however, is flawed: It can generate negative probabilities. The correct equation, the Law of Categorical Judgment…

A tacit but fundamental assumption of the theory of signal detection is that criterion placement is a noise-free process. This article challenges that assumption on theoretical and empirical grounds and presents the noisy decision theory of signal detection (ND-TSD). Generalized equations for the isosensitivity function and for measures of…

Jans, Peters, and De Weerd (2010) examined the studies demonstrating that spatial attention can be split across 2 noncontiguous target locations. They find all these studies to be flawed and conclude that spatial attention only selects a single location at any given time. They do, however, suggest that there could be exceptional circumstances that…

A new model for confidence judgments in recognition memory is presented. In the model, the match between a single test item and memory produces a distribution of evidence, with better matches corresponding to distributions with higher means. On this match dimension, confidence criteria are placed, and the areas between the criteria under the…

This article had four goals. First, the authors identified a set of general challenges and questions that a life-span theory of development should address. Second, they presented a comprehensive account of their Motivational Theory of Life-Span Development. They integrated the model of optimization in primary and secondary control and the…

A unified theory of visual recognition and attentional selection is developed by integrating the biased-choice model for single-stimulus recognition with a choice model for selection from multielement displays in a race model framework. The theory is applied to findings from previous studies and quantitative fits are encouraging. (SLD)

Following a brief summary of the ideas and assumptions of L. L. Thurstone's law of comparative judgment, this article reviews the subsequent major developments of this model in the sensory area. The law of comparative judgments is part of the body of work called Thurstonian scaling. (SLD)

Several models of information integration are developed and analyzed in the context of a prototypical pattern-recognition task. Evaluation, integration, and decision-making processes are specified for each. Simulations and predictions are carried out to provide a measure of identifiability or extent to which they can be distinguished from one…