Stimulus-response model
Encyclopedia
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.
psychology,
risk assessment,
neuroscience,
neurally-inspired system design,
and many other fields.
(or other measure of location) of the response Y:
A common simplification assumed for such functions is linear, thus we expect to see a relationship like
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.
Statistical unit
A unit in a statistical analysis refers to one member of a set of entities being studied. It is the material source for the mathematical abstraction of a "random variable"...
(such as a neuron
Neuron
A neuron is an electrically excitable cell that processes and transmits information by electrical and chemical signaling. Chemical signaling occurs via synapses, specialized connections with other cells. Neurons connect to each other to form networks. Neurons are the core components of the nervous...
) as a black box
Black box
A black box is a device, object, or system whose inner workings are unknown; only the input, transfer, and output are known characteristics.The term black box can also refer to:-In science and technology:*Black box theory, a philosophical theory...
model, predicting a quantitative response to a quantitative stimulus
Stimulation
Stimulation is the action of various agents on nerves, muscles, or a sensory end organ, by which activity is evoked; especially, the nervous impulse produced by various agents on nerves, or a sensory end organ, by which the part connected with the nerve is thrown into a state of activity.The word...
, for example one administered by a researcher.
Fields of application
Stimulus–response models are applied in international relations,psychology,
risk assessment,
neuroscience,
neurally-inspired system design,
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 valueExpected value
In probability theory, the expected value of a random variable is the weighted average of all possible values that this random variable can take on...
(or other measure of location) of the response Y:
A common simplification assumed for such functions is linear, thus we expect to see a relationship like
Statistical theory
Statistical theory
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that...
for linear model
Linear model
In statistics, the term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with linear regression model. However the term is also used in time series analysis with a different...
s has been well developed for more than fifty years, and a standard form of analysis called linear regression
Linear regression
In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one explanatory variable is called simple regression...
has been developed.