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Modelling change in cognitive understanding with finite mixtures. (English) Zbl 1112.62331

Summary: Psychological theories often posit the existence of several different states. Individuals are viewed as belonging to one of the states at a given age, but with development pass to another state. A main problem in evaluating such theories is representing the transition from one state to another over age. A stochastic transition framework is proposed which should be useful in many different settings. The model is illustrated with data from a cognitive development task.

MSC:

62M05 Markov processes: estimation; hidden Markov models
62F10 Point estimation
91E10 Cognitive psychology
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