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A Matrix Regression Model for the Transition Probabilities in a Finite State Stochastic Process
Author(s) -
Robertson Chris
Publication year - 1990
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2347807
Subject(s) - stochastic matrix , process (computing) , state (computer science) , finite state , mathematics , statistical physics , transition (genetics) , matrix (chemical analysis) , statistics , computer science , algorithm , physics , markov chain , materials science , biochemistry , chemistry , composite material , gene , operating system
SUMMARY 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 of various factors on organization. Simulation techniques are used to assess the goodness of fit of the model and to test hypotheses 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.