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On how to test threshold models of detection without making assumptions about the response rule
Author(s) -
Dusoir A. E.
Publication year - 1980
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1980.tb00775.x
Subject(s) - a priori and a posteriori , probabilistic logic , task (project management) , threshold model , noise (video) , detection threshold , argument (complex analysis) , mathematics , detection theory , signal (programming language) , computer science , test (biology) , statistics , algorithm , econometrics , artificial intelligence , telecommunications , paleontology , philosophy , biochemistry , chemistry , management , epistemology , real time computing , detector , economics , image (mathematics) , biology , programming language
Threshold models assume J discrete sensory states, which are related to responses by a probabilistic response rule. The paper discusses how we can refute threshold models with J small without imposing a priori constraints on the response rule. An argument due to Krantz is extended and applied to a sinusoid‐in‐noise detection task with randomly varying signal strengths. When five subjects are tested in this task, it is shown that J needs to be at least 3 for four subjects and at least 4 for one.