Genuine power curves in forgetting: A quantitative analysis of individual subject forgetting functions

Wixted and Ebbesen (1991) showed that forgetting functions produced by a variety of procedures are often well described by the power function, at−b, where a and b are free parameters. However, all of their analyses were based on data arithmetically averaged over subjects. R. B. Anderson and Tweney (1997) argue that the power law of forgetting may be an artifact of arithmetically averaging individual subject forgetting functions that are truly exponential in form and that geometric averaging would avoid this potential problem. We agree that researchers should always be cognizant of the possibility of averaging artifacts, but we also show that our conclusions about the form of forgetting remain unchanged (and goodness-of-fit statistics are scarcely affected by) whether arithmetic or geometric averaging is used. In addition, an analysis of individual subject forgetting functions shows that they, too, are described much better by a power function than by an exponential.

[1]  Lee S. Smith,et al.  An Explanation , 1889, The American journal of dental science.

[2]  H. Ebbinghaus Memory A Contribution Toexperimental Psychology , 1913 .

[3]  M. Sidman A note on functional relations obtained from group data. , 1952, Psychological bulletin.

[4]  W. Estes The problem of inference from curves based on group data. , 1956, Psychological bulletin.

[5]  Estes Wk The problem of inference from curves based on group data. , 1956 .

[6]  L. R. Peterson,et al.  Short-term retention of individual verbal items. , 1959, Journal of experimental psychology.

[7]  Eugene Galanter,et al.  Handbook of mathematical psychology: I. , 1963 .

[8]  Samuel Kotz,et al.  Continuous univariate distributions : distributions in statistics , 1970 .

[9]  Wayne A. Wickelgren,et al.  Time, interference, and rate of presentation in short-term recognition memory for items , 1970 .

[10]  Wayne A. Wickelgren,et al.  Trace resistance and the decay of long-term memory. , 1972 .

[11]  W. R. Buckland,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1974 .

[12]  W. A. Wickelgren Single-trace fragility theory of memory dynamics , 1974, Memory & cognition.

[13]  L R Squire,et al.  Retrograde amnesia: temporal gradient in very long term memory following electroconvulsive therapy. , 1975, Science.

[14]  David C. Rubin,et al.  On the retention function for autobiographical memory , 1982 .

[15]  K G White,et al.  Characteristics of forgetting functions in delayed matching to sample. , 1985, Journal of the experimental analysis of behavior.

[16]  Geoffrey R. Loftus,et al.  Evaluating forgetting curves. , 1985 .

[17]  John T. Wixted,et al.  Analyzing the empirical course of forgetting. , 1990 .

[18]  J. Wixted,et al.  On the Form of Forgetting , 1991 .

[19]  John R. Anderson,et al.  Reflections of the Environment in Memory Form of the Memory Functions , 2022 .

[20]  H. Simon,et al.  What is an “Explanation” of Behavior? , 1992 .

[21]  Doug Rohrer,et al.  Proactive interference and the dynamics of free recall. , 1993 .

[22]  J. Wixted,et al.  An analysis of latency and interresponse time in free recall , 1994, Memory & cognition.

[23]  Gordon D. Logan,et al.  The Weibull distribution, the power law, and the instance theory of automaticity. , 1995 .

[24]  Amy Wenzel,et al.  One hundred years of forgetting: A quantitative description of retention , 1996 .

[25]  Richard B. Anderson,et al.  Artifactual power curves in forgetting , 1997, Memory & cognition.