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Halff, Henry M. – Psychometrika, 1976
Two forms of stationarity prior to criterion in absorbing Markov chains are examined. Both forms require that the probability of a particular response on a particular trial before absorption be independent of trial number. Simple, necessary and sufficient conditions for both forms are developed and applied to several examples. (Author)
Descriptors: Learning Processes, Mathematical Models, Matrices
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Polson, Peter G.; Huizinga, David – Psychometrika, 1974
Descriptors: Algorithms, Computer Programs, Goodness of Fit, Learning Processes
Peer reviewed Peer reviewed
Falmagne, Jean-Claude – Psychometrika, 1989
A stochastic version of a knowledge space is developed in which knowledge states are considered as possible epochs in a subject's learning history. It specifies how a subject is channeled through and progresses along a "gradation." The model's application to artificial data is described, based on maximum likelihood methods. (TJH)
Descriptors: Equations (Mathematics), Knowledge Level, Latent Trait Theory, Learning Processes