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Generating fixed-length sequences satisfying any given nth-order transition probability matrix
1University of Manitoba, Winnipeg, Canada. gremilla@uwinnipeg.ca
Behavior Research Methods, Instruments, & Computers : a Journal of the Psychonomic Society, Inc
|September 25, 1999
Abstract:
An experimental design involving sequences of m distinct events can be conceptualized as an nth-order transition probability matrix specifying the probabilities with which each of the m distinct events is to follow certain n-grams. This paper describes a general method for constructing sequences of shortest possible length that satisfy any such matrix and presents a computer program that randomly generates such sequences.