## Abstract

In longitudinal data, the interest often lies in the repeatedly measured variable itself. However, in some situations, the changing pattern of the variable over time may contain information about a separate outcome variable. In such a situation, longitudinal data provide the opportunity to develop predictive models of subsequent observations of the separate outcome variable given current data for an individual. In particular, longitudinally changing patterns of repeated measurements of a variable, or trajectories, measured up to time t can be used to predict an outcome measure or event that occurs after time t. We propose a predictive model based on latent classes of trajectories, which is fitted using the expectation-maximization (EM) algorithm, and show how to get model estimates with other covariates in the model. Applications of our methodology are demonstrated through an example of a smoking cessation trial.

Original language | English |
---|---|

Pages (from-to) | 284-292 |

Number of pages | 9 |

Journal | Statistics in Biopharmaceutical Research |

Volume | 4 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2012 Jul 1 |

## Keywords

- EM algorithm
- Longitudinal data
- Mixture distribution, Prediction
- ROC curve
- Trajectory

## ASJC Scopus subject areas

- Statistics and Probability
- Pharmaceutical Science