Identifiability and Statistical Properties of Two-Stage Learning with no Successes in the Initial Stage
- 1 June 1968
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 33 (2) , 173-215
- https://doi.org/10.1007/bf02290152
Abstract
A model is considered for learning where there is an initial stage with only errors, an intermediate state with errors and correct responses, and an absorbing state with only correct responses. A model with observable states is constructed, and sufficient identifiable parameters are given for the original model. Distribution statistics and other properties of data are derived as functions of the identifiable parameters. Informal estimates and sufficient statistics are given for the identifiable parameters. A number of testable hypotheses about the theoretical parameters are described. Some identifying restrictions for the model are given, along with the estimates for the unrestricted free parameters which follow. An application is made to data from a pairedassociate learning experiment.Keywords
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