- Fields of application
- Mathematical formulation
- References
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 stimulus, for example one administered by a researcher.
Fields of application
Stimulus–response models are applied in international relations,[1]
psychology,[2]risk assessment,[3]neuroscience,[4]neurally-inspired system design,[5]
and many other fields.
Mathematical formulation
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}}
A common simplification assumed for such functions is linear, thus we expect to see a relationship like
Statistical theory for linear models has been well developed for more than fifty years, and a standard form of analysis called linear regression has been developed.
References
2. ^{{cite book | title = The Counselor's Companion: What Every Beginning Counselor Needs to Know | editor = Jocelyn Gregoire and Christin Jungers | chapter = Counseling Across the Life Span | author = Stephen P. Kachmar and Kimberly Blair | publisher = Routledge | year = 2007 | isbn = 978-0-8058-5684-2 | page = 143 | url = https://books.google.com/books?id=5V9nvsKeBgIC&pg=RA1-PA143&dq=stimulus-response-model++behavior#v=onepage&q=stimulus-response-model%20%20behavior&f=false }}
3. ^{{cite book | title = Analyzing environmental data | chapter = Quantitative Risk Assessment with Stimulus–Response Data | author = Walter W. Piegorsch and A. John Bailer | publisher = John Wiley and Sons | year = 2005 | isbn = 978-0-470-84836-4 | pages = 171–214 | url = https://books.google.com/books?id=FrNv8AwkoKgC&pg=PA172&dq=stimulus-response-model+statistical#v=onepage&q=stimulus-response-model%20statistical&f=false }}
4. ^{{cite book | title = Computer simulation in brain science | chapter = Neurons with hysteresis? | author = Geoffrey W. Hoffmann | editor = Rodney Cotterill | publisher = Cambridge University Press | year = 1988 | isbn = 978-0-521-34179-0 | pages = 74–87 | url = https://books.google.com/books?id=B6nfz--ePEEC&pg=PA79&dq=stimulus-response++neuron#v=onepage&q=stimulus-response%20%20neuron&f=false }}
5. ^{{cite book | title = Systems methodology for software | author = Teodor Rus | publisher = World Scientific | year = 1993 | isbn = 978-981-02-1254-4 | page = 12 | url = https://books.google.com/books?id=l7o31p-6dlAC&pg=PA12&dq=stimulus-response-model++neuron#v=onepage&q=stimulus-response-model%20%20neuron&f=false }}