Literature DB >> 16812130

A multivariate rate equation for variable-interval performance.

J J McDowell, R Kessel.   

Abstract

A value-like parameter is introduced into a rate equation for describing variable-interval performance. The equation, derived solely from formal considerations, expresses rate of responding as a joint function of rate of reinforcement and "reinforcer power." Preliminary tests of the rate equation show that it handles univariate data as well as Herrnstein's hyperbola. In addition, a form of Herrnstein's hyperbola can be derived from the equation, and it predicts forms of matching in concurrent situations. For the multivariate case, reinforcer values scaled in concurrent situations where matching is assumed to hold are taken as determinations of reinforcer power. The multivariate rate equation is fitted to an appropriate set of data and found to provide a good description of variable-interval performance when both rate and power of reinforcement are varied. Rate and power measures completely describe reinforcement. The effects of their joint variation are not predicted and cannot be described by Herrnstein's equation.

Year:  1979        PMID: 16812130      PMCID: PMC1332828          DOI: 10.1901/jeab.1979.31-267

Source DB:  PubMed          Journal:  J Exp Anal Behav        ISSN: 0022-5002            Impact factor:   2.468


  12 in total

1.  REINFORCEMENT AS INPUT: CYCLIC VARIABLE-INTERVAL SCHEDULE.

Authors:  J E STADDON
Journal:  Science       Date:  1964-07-24       Impact factor: 47.728

2.  On two types of deviation from the matching law: bias and undermatching.

Authors:  W M Baum
Journal:  J Exp Anal Behav       Date:  1974-07       Impact factor: 2.468

3.  The matching law.

Authors:  P Killeen
Journal:  J Exp Anal Behav       Date:  1972-05       Impact factor: 2.468

4.  Matching-based hedonic scaling in the pigeon.

Authors:  H L Miller
Journal:  J Exp Anal Behav       Date:  1976-11       Impact factor: 2.468

5.  On the tautology of the matching law.

Authors:  H Rachlin
Journal:  J Exp Anal Behav       Date:  1971-03       Impact factor: 2.468

6.  The symmetrical law of effect and the matching relation in choice behavior.

Authors:  J Farley; E Fantino
Journal:  J Exp Anal Behav       Date:  1978-01       Impact factor: 2.468

7.  The correlation-based law of effect.

Authors:  W M Baum
Journal:  J Exp Anal Behav       Date:  1973-07       Impact factor: 2.468

8.  Behavior of humans in variable-interval schedules of reinforcement.

Authors:  C M Bradshaw; E Szabadi; P Bevan
Journal:  J Exp Anal Behav       Date:  1976-09       Impact factor: 2.468

Review 9.  Quantitative hedonism.

Authors:  R J Herrnstein
Journal:  J Psychiatr Res       Date:  1971-08       Impact factor: 4.791

10.  A quantitative analysis of the responding maintained by interval schedules of reinforcement.

Authors:  A C Catania; G S Reynolds
Journal:  J Exp Anal Behav       Date:  1968-05       Impact factor: 2.468

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  27 in total

1.  Falsification of matching theory's account of single-alternative responding: Herrnstein's k varies with sucrose concentration.

Authors:  J Dallery; J J McDowell; J S Lancaster
Journal:  J Exp Anal Behav       Date:  2000-01       Impact factor: 2.468

2.  Some remarks on the quantitative analysis of behavior.

Authors:  M J Marr
Journal:  Behav Anal       Date:  1989

3.  Some reflections on Kantor's (1970) "An analysis of the experimental analysis of behavior (TEAB)".

Authors:  M J Marr
Journal:  Behav Anal       Date:  1984

4.  The dynamics of the law of effect: a comparison of models.

Authors:  Michael A Navakatikyan; Michael Davison
Journal:  J Exp Anal Behav       Date:  2010-01       Impact factor: 2.468

5.  On the classic and modern theories of matching.

Authors:  J J McDowell
Journal:  J Exp Anal Behav       Date:  2005-07       Impact factor: 2.468

6.  Practical implications of the matching law.

Authors:  J Myerson; S Hale
Journal:  J Appl Behav Anal       Date:  1984

7.  An analytic comparison of Herrnstein's equations and a multivariate rate equation.

Authors:  J J McDowell
Journal:  J Exp Anal Behav       Date:  1980-05       Impact factor: 2.468

8.  Applying linear systems analysis to dynamic behavior.

Authors:  J J McDowell; R Bass; R Kessel
Journal:  J Exp Anal Behav       Date:  1992-05       Impact factor: 2.468

9.  How to maximize reward rate on two variable-interval paradigms.

Authors:  A I Houston; J McNamara
Journal:  J Exp Anal Behav       Date:  1981-05       Impact factor: 2.468

10.  Determination of a behavioral transfer function: White-noise analysis of session-to-session response-ratio dynamics on concurrent VI VI schedules.

Authors:  I Hunter; M Davison
Journal:  J Exp Anal Behav       Date:  1985-01       Impact factor: 2.468

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