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

Research output: Contribution to journalArticle

16 Citations (Scopus)

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.
LanguageEnglish
Pages1-19
Number of pages18
JournalJournal of Applied Statistics
Volume39
Issue number1
Publication statusPublished - 1990

Fingerprint

Matrix Models
Transition Probability
Stochastic Processes
Regression Model
Hypothesis Test
Goodness of fit
Model
Outlier
Experiment
Likelihood
Diagnostics
Discrete-time
Regression model
Stochastic processes
Transition probability
Simulation

Keywords

  • diagnostic checks
  • free recall
  • modelling transition probabilities
  • paired comparisons
  • regression models
  • simulation tests

Cite this

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A matrix regression model for the transition probabilities in a finite state stochastic-process. / Robertson, C.

In: Journal of Applied Statistics, Vol. 39, No. 1, 1990, p. 1-19.

Research output: Contribution to journalArticle

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