### Abstract

Language | English |
---|---|

Pages | 1-19 |

Number of pages | 18 |

Journal | Journal of Applied Statistics |

Volume | 39 |

Issue number | 1 |

Publication status | Published - 1990 |

### Fingerprint

### Keywords

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

### Cite this

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*Journal of Applied Statistics*, vol. 39, no. 1, pp. 1-19.

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - A matrix regression model for the transition probabilities in a finite state stochastic-process

AU - Robertson, C.

PY - 1990

Y1 - 1990

N2 - 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.

AB - 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.

KW - diagnostic checks

KW - free recall

KW - modelling transition probabilities

KW - paired comparisons

KW - regression models

KW - simulation tests

UR - http://www.jstor.org/stable/2347807

M3 - Article

VL - 39

SP - 1

EP - 19

JO - Journal of Applied Statistics

T2 - Journal of Applied Statistics

JF - Journal of Applied Statistics

SN - 0266-4763

IS - 1

ER -