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| The '''stimulus–response model''' is a characterization of a [[statistical unit]] (such as a [[neuron]]) as a [[black box]] model, predicting a quantitative response to a quantitative [[stimulation|stimulus]], for example one administered by a researcher.
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| ==Fields of application==
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| Stimulus–response models are applied in international relations,<ref>
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| {{cite book
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| | title = What causes war?: an introduction to theories of international conflict
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| | chapter = International Interaction: Stimulus–Response Theory and Arms Races
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| | author = Greg Cashman
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| | publisher = Lexington Books | |
| | year = 2000
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| | isbn = 978-0-7391-0112-4
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| | pages = 160–192
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| | url = http://books.google.com/books?id=I9xIfeijGhMC&pg=PA167&dq=stimulus-response-model+statistical#v=onepage&q=stimulus-response-model%20statistical&f=false
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| }}</ref>
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| [[:en:Neuropsychological_test|psychology]],<ref>
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| {{cite book
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| | title = The Counselor's Companion: What Every Beginning Counselor Needs to Know
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| | editor = Jocelyn Gregoire and Christin Jungers | |
| | chapter = Counseling Across the Life Span
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| | author = Stephen P. Kachmar and Kimberly Blair
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| | publisher = Routledge
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| | year = 2007
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| | isbn = 978-0-8058-5684-2
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| | page = 143
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| | url = http://books.google.com/books?id=5V9nvsKeBgIC&pg=RA1-PA143&dq=stimulus-response-model++behavior#v=onepage&q=stimulus-response-model%20%20behavior&f=false
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| }}</ref>
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| risk assessment,<ref>
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| {{cite book
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| | title = Analyzing environmental data
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| | chapter = Quantitative Risk Assessment with Stimulus–Response Data
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| | author = Walter W. Piegorsch and A. John Bailer
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| | publisher = John Wiley and Sons
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| | year = 2005
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| | isbn = 978-0-470-84836-4
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| | pages = 171–214
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| | url = http://books.google.com/books?id=FrNv8AwkoKgC&pg=PA172&dq=stimulus-response-model+statistical#v=onepage&q=stimulus-response-model%20statistical&f=false
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| }}</ref>
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| [[:en:Neuroscience|neuroscience]],<ref>
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| {{cite book
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| | title = Computer simulation in brain science
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| | chapter = Neurons with hysteresis?
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| | author = Geoffrey W. Hoffmann
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| | editor = Rodney Cotterill
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| | publisher = Cambridge University Press
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| | year = 1988
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| | isbn = 978-0-521-34179-0
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| | pages = 74–87
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| | url = http://books.google.com/books?id=B6nfz--ePEEC&pg=PA79&dq=stimulus-response++neuron#v=onepage&q=stimulus-response%20%20neuron&f=false
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| }}</ref>
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| neurally-inspired system design,<ref>
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| {{cite book
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| | title = Systems methodology for software
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| | author = Teodor Rus
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| | publisher = World Scientific
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| | year = 1993
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| | isbn = 978-981-02-1254-4
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| | page = 12
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| | url = http://books.google.com/books?id=l7o31p-6dlAC&pg=PA12&dq=stimulus-response-model++neuron#v=onepage&q=stimulus-response-model%20%20neuron&f=false
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| }}</ref>
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| and many other fields.
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| ==Mathematical formulation==
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| The object of a stimulus–response model is to establish a mathematical function that describes the relation ''f'' between the stimulus ''x'' and the [[expected value]] (or other measure of location) of the response ''Y'':{{Citation needed|date=August 2009}}
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| : <math>E(Y) = f(x)</math>
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| A common simplification assumed for such functions is linear, thus we expect to see a relationship like
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| : <math>E(Y) = \alpha + \beta x.</math>
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| [[Statistical theory]] for [[linear model]]s has been well developed for more than fifty years, and a standard form of analysis called [[linear regression]] has been developed.
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| ==References==
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| <references/>
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| {{DEFAULTSORT:Stimulus-Response Model}}
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| [[Category:Behavioral concepts]]
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| [[Category:Specific models]]
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| {{statistics-stub}}
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