Detection may improve if a stimulus offers 2 cues rather than 1. This is sometimes attributed to probability summation of independent detections, which provides an especially simple model for sensory information combination. However, this model assumes a strong bias toward the positive response, which is not appropriate for discrimination. The probability summation model is here extended to apply to discrimination and to allow different degrees of summation, ranging from complete through partial to probability averaging, and the use of this model is illustrated for the method of constant stimuli. It allows performance based on independent decisions to be distinguished from performance (e.g., integration) that is better than summation can explain. Models for the discrimination of complex stimuli may provide a tool for studying the development of expertise in areas where this involves a perceptual component, such as clinical judgment. The detection and discrimination of stimuli is the main subject matter of psychophysics , and study of these processes has given researchers a sophisticated understanding of them. Unfortunately, the benefit of applying this knowledge to areas of research or application other than psychophysics has not been fully realized. This article examines and extends a simple model of how information is combined when one detects or discriminates stimuli that are defined by more than one sensory component or feature. The application of these ideas to a wider range of problems is also considered. A laboratory detection task may require a subject to decide, for example, whether a faint sound was presented. A discrimination task may require the participant to judge whether a given line is longer or shorter than a 5-in (12.7 cm) standard. In each case the task is made difficult because of noise. This noise may be external, such as a background of white noise, or it may arise internally, from the variability of the response of the sensory organ and the nervous system to the stimulus input.
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