## Linear and Nonlinear Models for the Analysis of Repeated MeasurementsIntegrates the latest theory, methodology and applications related to the design and analysis of repeated measurement. The text covers a broad range of topics, including the analysis of repeated measures design, general crossover designs, and linear and nonlinear regression models. It also contains a 3.5 IBM compatible disk, with software to implement immediately the techniques. |

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### Contents

The Multivariate Analysis of Variance MANOVA Model | 35 |

ANOVA and MANOVA for Repeated Measurements | 65 |

Crossover Experiments | 109 |

The Generalized Multivariate Analysis of Variance GMANOVA Model | 193 |

Linear MixedEffects Models for Repeated Measurements | 225 |

Nonlinear Regression Models for Repeated Measurements | 283 |

Generalized Nonlinear MixedEffects Models | 371 |

A Summary of Selected Methods of Estimation | 435 |

Appendix MIXNLIN 31 | 451 |

Bibliography | 513 |

537 | |

543 | |

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### Common terms and phrases

algorithm analysis applied approach assuming assumptions asymptotic Bayes estimator between-subject between-units factor Chapter coefficient compound symmetry concordance correlation conditional corresponding covariance matrix covariance structure crossover design defined degrees of freedom denote density described design matrix efficient EGLS estimator empirical Bayes estimating equations example experimental unit exponential family F-test growth curve model hypothesis testing independent inference intercept IRGLS least squares likelihood ratio test linear mixed-effects model linear model location parameters log-likelihood MANOVA model method of moments missing data MIXNLIN ML estimator multivariate noncentrality nonlinear mixed-effects model nonlinear regression normally distributed null objective function observations obtained pseudo pseudo-likelihood QELS random effects random-effects model REML estimates repeated measurements residuals respect response variable RM design sample sequence specified starting values statement subject-specific Table test statistic treatment groups two-stage Type I error unbiased estimator univariate variance components variance matrix variance-covariance matrix Vonesh and Carter Wishart distribution within-subject

### Popular passages

Page 539 - JF (1984) Alternative approaches to estimation of population pharmacokinetic parameters; comparison with the nonlinear mixed effect model. Drug Metab. Rev., 15, 265-292, Steimer, JL, Mallet, A.

Page 525 - Esinhart, JD and Chinchilli, VM (1994). Extension to the use of tolerance intervals for assessment of individual bioequivalence.

Page 524 - Davis, PJ and Rabinowitz, P. (1975). Methods of Numerical Integration. New York: Academic Press.