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. 1985 Mar;43(2):265–277. doi: 10.1901/jeab.1985.43-265

Reanalysis of the equation for simple action

Frederick R Warren-Boulton, Alan Silberberg, Michael Gray, Randolph Ollom
PMCID: PMC1348136  PMID: 16812416

Abstract

De Villiers and Herrnstein (1976) have shown that the equation for simple action, derived from the matching law, predicts change in behavioral output for some 40 experiments in which the value of a single source of reinforcement has been varied. Using only the positive-reinforcement studies they cite that used five or more different reinforcement values, we found the high percentage of variance they report accommodated by this equation (94%) is predicated on instances of averaging rates of behavioral output before making a least-squares fit of the equation. In our reanalysis, which minimizes rate averaging, only 78% of the data variance is accommodated. This diminished data-variance accommodation can be improved by adding parameters that permit the equation's scaling constant to change as a function of reinforcement. Although these parameters permit acceptable levels of accommodation of data variance, they correspond to no obvious psychological processes. These findings support the view that the equation for simple action is an inadequate model for behavioral output.

Keywords: equation for simple action, behavioral output, matching law, response rate, reinforcement rate

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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