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A matrix regression model for the transition probabilities in a finite state stochastic-process

Robertson, C. (1990) A matrix regression model for the transition probabilities in a finite state stochastic-process. Journal of Applied Statistics, 39 (1). pp. 1-19. ISSN 0266-4763

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Abstract

In psychology, the free-recall experiment is used to investigate the organization of items in memory. A model is introduced to describe the ordinal features of the responses to this experiment. This is essentially a model of the transition probabilities in a finite state stochastic process in discrete time. A matrix regression model is introduced to investigate the effects on various factors on organization. Simulation techniques are used to assess the goodness of fit of the model and to test hypothesis about the model parameters. Finally components of the log-likelihood are used as diagnostic tools to check that there are no outliers. An example involving the recall of personalities' names is considered.

Item type: Article
ID code: 17745
Keywords: diagnostic checks, free recall, modelling transition probabilities, paired comparisons, regression models, simulation tests, Probabilities. Mathematical statistics, Psychology, Statistics and Probability, Statistics, Probability and Uncertainty
Subjects: Science > Mathematics > Probabilities. Mathematical statistics
Philosophy. Psychology. Religion > Psychology
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
Depositing user: Strathprints Administrator
Date Deposited: 17 May 2010 12:10
Last modified: 05 Sep 2014 00:37
URI: http://strathprints.strath.ac.uk/id/eprint/17745

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