A power-law model of psychological memory strength in short- and long-term recognition. Donkin, C. & Nosofsky, R. M. Psychol Sci, 23(6):625–634, 2012.
doi  abstract   bibtex   
A classic law of cognition is that forgetting curves are closely approximated by power functions. This law describes relations between different empirical dependent variables and the retention interval, and the precise form of the functional relation depends on the scale used to measure each variable. In the research reported here, we conducted a recognition task involving both short- and long-term probes. We discovered that formal memory-strength parameters from an exemplar-recognition model closely followed a power function of the lag between studied items and a test probe. The model accounted for rich sets of response time (RT) data at both individual-subject and individual-lag levels. Because memory strengths were derived from model fits to choices and RTs from individual trials, the psychological power law was independent of the scale used to summarize the forgetting functions. Alternative models that assumed different functional relations or posited a separate fixed-strength working memory store fared considerably worse than the power-law model did in predicting the data.
@Article{Donkin2012,
  author      = {Donkin, Chris and Nosofsky, Robert M.},
  journal     = {Psychol Sci},
  title       = {A power-law model of psychological memory strength in short- and long-term recognition.},
  year        = {2012},
  number      = {6},
  pages       = {625--634},
  volume      = {23},
  abstract    = {A classic law of cognition is that forgetting curves are closely approximated
	by power functions. This law describes relations between different
	empirical dependent variables and the retention interval, and the
	precise form of the functional relation depends on the scale used
	to measure each variable. In the research reported here, we conducted
	a recognition task involving both short- and long-term probes. We
	discovered that formal memory-strength parameters from an exemplar-recognition
	model closely followed a power function of the lag between studied
	items and a test probe. The model accounted for rich sets of response
	time (RT) data at both individual-subject and individual-lag levels.
	Because memory strengths were derived from model fits to choices
	and RTs from individual trials, the psychological power law was independent
	of the scale used to summarize the forgetting functions. Alternative
	models that assumed different functional relations or posited a separate
	fixed-strength working memory store fared considerably worse than
	the power-law model did in predicting the data.},
  doi         = {10.1177/0956797611430961},
  institution = {1University of New South Wales.},
  language    = {eng},
  medline-pst = {ppublish},
  pmid        = {22527527},
  timestamp   = {2012.06.19},
}

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