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Stimulus Sampling Theory. Agenda. Stimulus Sampling Theory overview Analytic & simulation models Estes & Straughan, 1954 Homeworks 1 & 2. Stimulus Sampling Theory. Associated With A.  is. Stimulus Elements. Associated With B.  is.  is.  is.  is.  is. Activated on Trial n.

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agenda
Agenda
  • Stimulus Sampling Theory overview
  • Analytic & simulation models
  • Estes & Straughan, 1954
  • Homeworks 1 & 2
stimulus sampling theory3
Stimulus Sampling Theory

Associated

With A

is

Stimulus Elements

Associated

With B

is

is

is

is

is

Activated on Trial n

Stimulus

S1

is

is

is

is

is

is

is = Prob of sampling Element i given Stimulus S

is

is

is

is

is

is

is

is

is

stimulus sampling theory4
Stimulus Sampling Theory

P(A) = 1/4

Stimulus Elements

is

is

is

is

Stimulus

S1

is

is

is

is

is

is

is

is

is

is

is

is

is

is

stimulus sampling theory5
Stimulus Sampling Theory

Feedback for A

Stimulus Elements

is

is

is

is

Stimulus

S1

is

is

is

is

is

is

is

is

is

is

is

is

is

is

stimulus sampling theory6
Stimulus Sampling Theory

Stimulus Elements

is

is

is

is

Stimulus

S2

is

is

is

is

is

is

is

is

is

is

is

is

is

is

stimulus sampling theory7
Stimulus Sampling Theory

P(A) = 1/2

Stimulus Elements

is

is

is

is

Stimulus

S2

is

is

is

is

is

is

is

is

is

is

is

is

is

is

stimulus sampling theory8
Stimulus Sampling Theory

Feedback for B

Stimulus Elements

is

is

is

is

Stimulus

S2

is

is

is

is

is

is

is

is

is

is

is

is

is

is

an example
An Example
  • One of two stimuli, Red A or Blue B, appear.
  • You are simply to learn when to press a button.
an example10
An Example

.1

.3

.1

A

.3

P(Press) = 0/3

.3

.1

.1

an example11
An Example

.1

.3

.1

A

.3

Feedback = Press

.3

.1

.1

an example12
An Example

.3

.1

.2

B

.1

P(Press) = 1/2

.3

.1

.3

an example13
An Example

.3

.1

.2

B

.1

Feedback = No Press

.3

.1

.3

an example14
An Example

.3

.1

.2

B

.1

P(Press) = 0/2

.3

.1

.3

an example15
An Example

.3

.1

.2

B

.1

Feedback = Press

.3

.1

.3

a modern example
A Modern Example

Phonology

Orthography

Semantics

Context

what are stimulus elements
What are Stimulus Elements?
  • “The concept of stimulus element is not defined in terms of observable events; it has the status of a primitive term within the theory” (p. 4).
  • “Relating experimental manipulations to a stimulus sampling parameter … is by no means necessary … for the derivation of testable predictions. To the extent that directly testable implications of the theory are supported by evidence, the concepts of stimulus sampling remain tenable” (p. 4).
is stimulus sampling theory a model
Is Stimulus Sampling Theory a Model?
  • “The term ‘stimulus sampling theory’ refers to a number of theories differing with respect to special assumptions and their mathematical expression, yet sharing a common approach to conceptual representation of the stimulus situation and the formation of associative connections, rather than to a single coherent set of assumptions formulated to apply to all the experimental procedures employed in the study of learning” (p. 1).
analytic simulation models
Analytic & Simulation Models
  • An analytic solution to a model is one in which an equation is used to describe the output of the model.
  • A simulation result is produced by following a set of procedures.
analytic simulation models20
Analytic & Simulation Models

Sample S’ from S on Trial n

P(A) = Proportion A from S’

Associate S’ with feedback

Go to 1

analytic simulation models21
Analytic & Simulation Models
  • In general, an analytic solution is preferred.
    • Less prone to specific sequences.
    • Can often make the same predictions as simulation.
    • Faster.
      • Especially in fitting programs.
    • Easier.