Quantal Response: Nonparametric Modeling

Report No. ARL-TR-7925
Authors: Joseph C Collins
Date/Pages: January 2017; 70 pages
Abstract: Binary response to a continuous stimulus was originally modeled as a cumulative distribution of limit quantities interpreted as an increasing functional relationship between stimulus and probability of response. The Generalized Linear Model approach does not make use of the limit distribution but allows arbitrary functional relationships including both classical higher-order polynomials and also nonparametric spline models based on penalized maximum likelihood estimation.
Distribution: Approved for public release
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Last Update / Reviewed: January 1, 2017