5 Analysis of longitudinal data

[1]  E. Vonesh,et al.  Efficient inference for random-coefficient growth curve models with unbalanced data. , 1987, Biometrics.

[2]  C. R. Rao,et al.  Least squares theory using an estimated dispersion matrix and its application to measurement of signals , 1967 .

[3]  J. Hart,et al.  Kernel Regression Estimation Using Repeated Measurements Data , 1986 .

[4]  R W Helms,et al.  Intentionally incomplete longitudinal designs: I. Methodology and comparison of some full span designs. , 1992, Statistics in medicine.

[5]  L.C.A. Corsten,et al.  Reconciliation of two different views on estimation of growth curve parameters , 1978 .

[6]  K Y Liang,et al.  Longitudinal data analysis for discrete and continuous outcomes. , 1986, Biometrics.

[7]  J. Singer,et al.  On the Choice of Appropriate Error Terms in Profile Analysis , 1994 .

[8]  S. Zeger,et al.  Longitudinal data analysis using generalized linear models , 1986 .

[9]  Model selection techniques for the covariance matrix for incomplete longitudinal data. , 1995, Statistics in medicine.

[10]  D. Gamerman,et al.  Dynamic Hierarchical Models , 1993 .

[11]  Pranab Kumar Sen,et al.  Large Sample Methods in Statistics: An Introduction with Applications , 1993 .

[12]  M. Feinleib,et al.  Statistical Models for Longitudinal Studies of Health , 1992 .

[13]  J. S. Williams,et al.  A class of linear spectral models and analyses for the study of longitudinal data. , 1989, Biometrics.

[14]  Peter J. Diggle,et al.  Testing for random dropouts in repeated measurement data. , 1989 .

[15]  Anthony C. Atkinson,et al.  Optimum Experimental Designs , 1992 .

[16]  N M Laird,et al.  Missing data in longitudinal studies. , 1988, Statistics in medicine.

[17]  R. Kass,et al.  Approximate Bayesian Inference in Conditionally Independent Hierarchical Models (Parametric Empirical Bayes Models) , 1989 .

[18]  Jane F. Pendergast,et al.  Robust estimation in growth curve models , 1985 .

[19]  D. Kleinbaum A generalization of the growth curve model which allows missing data , 1973 .

[20]  Michael G. Kenward,et al.  A Method for Comparing Profiles of Repeated Measurements , 1987 .

[21]  John Wishart,et al.  GROWTH-RATE DETERMINATIONS IN NUTRITION STUDIES WITH THE BACON PIG, AND THEIR ANALYSIS , 1938 .

[22]  J. Ware,et al.  Random-effects models for longitudinal data. , 1982, Biometrics.

[23]  Gregory C. Reinsel,et al.  Mean Squared Error Properties of Empirical Bayes Estimators in a Multivariate Random Effects General Linear Model , 1985 .

[24]  G. Box Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, II. Effects of Inequality of Variance and of Correlation Between Errors in the Two-Way Classification , 1954 .

[25]  Jack C. Lee Prediction and estimation of growth curves with special covariance structures , 1988 .

[26]  M. Kenward,et al.  Informative dropout in longitudinal data analysis (with discussion) , 1994 .

[27]  Calyampudi R. Rao,et al.  The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves. , 1965, Biometrika.

[28]  Martijn P. F. Berger,et al.  A Comparison of Efficiencies of Longitudinal, Mixed Longitudinal, and Cross-Sectional Designs , 1986 .

[29]  E. Vonesh,et al.  Linear and Nonlinear Models for the Analysis of Repeated Measurements , 1996 .

[30]  R. Weiss,et al.  Residual plots for repeated measures. , 1992, Statistics in medicine.

[31]  C. Radhakrishna Rao,et al.  Linked cross-sectional study for determining norms and growth rates- a pilot survey on Indian school-going boys , 1966 .

[32]  M. Kenward The use of fitted higher-order polynomial coefficients as covariates in the analysis of growth curves. , 1985, Biometrics.

[33]  K. Berk,et al.  Computing for incomplete repeated measures. , 1987, Biometrics.

[34]  Malay Ghosh,et al.  Nonparametric Methods in Longitudinal Studies , 1973 .

[35]  L B Sheiner,et al.  Estimating population kinetics. , 1982, Critical reviews in biomedical engineering.

[36]  M. Kenward,et al.  Informative Drop‐Out in Longitudinal Data Analysis , 1994 .

[37]  R. Helms,et al.  ML estimation for the multivariate normal distribution with general linear model mea1 and linear-structure covariance matrix; one-population, complete-data case , 1986 .

[38]  R. J. Boik Interactions, Partial Interactions, and Interaction Contrasts in the Analysis of Variance , 1979 .

[39]  P. Diggle An approach to the analysis of repeated measurements. , 1988, Biometrics.

[40]  D. Harville Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems , 1977 .

[41]  D. F. Morrison,et al.  Multivariate Statistical Methods , 1968 .

[42]  R. Maronna Robust $M$-Estimators of Multivariate Location and Scatter , 1976 .

[43]  David Machin 385: ON A DESIGN PROBLEM IN GROWTH STUDIES , 1975 .

[44]  Roderick J. A. Little,et al.  Statistical Analysis with Missing Data , 1988 .

[45]  D. M. Allen,et al.  Analysis of growth and dose response curves. , 1969, Biometrics.

[46]  Greg J. Duncan,et al.  Issues of design and analysis of surveys across time , 1987 .

[47]  Ronald W. Helms,et al.  Maximum likelihood estimates in the multivariate normal with patterned mean and covariance via the em algorithm , 1984 .

[48]  H. Müller Nonparametric regression analysis of longitudinal data , 1988 .

[49]  P. Diggle,et al.  Analysis of Longitudinal Data. , 1997 .

[50]  R. C. Elston,et al.  Estimation of Time-Response Curves and Their Confidence Bands , 1962 .

[51]  James R Murphy,et al.  Nonlinear Regression Modelling , 1985 .

[52]  John J. McArdle Growth Curve Analysis , 2001 .

[53]  G. Box,et al.  Problems in the analysis of growth and wear curves. , 1950, Biometrics.

[54]  G G Koch,et al.  A general methodology for the analysis of experiments with repeated measurement of categorical data. , 1977, Biometrics.

[55]  G. Reinsel,et al.  Multivariate Repeated-Measurement or Growth Curve Models with Multivariate Random-Effects Covariance Structure , 1982 .

[56]  John R. Nesselroade,et al.  Longitudinal Research in the Study of Behavior and Development , 1979 .

[57]  Harvey Goldstein,et al.  The Design And Analysis Of Longitudinal Studies , 1979 .

[58]  M. S. Bartlett,et al.  Some examples of statistical methods of research in agriculture and applied biology , 1937 .

[59]  D. Bates,et al.  Approximations to the Log-Likelihood Function in the Nonlinear Mixed-Effects Model , 1995 .

[60]  B Rosner,et al.  Autoregressive modelling for the analysis of longitudinal data with unequally spaced examinations. , 1988, Statistics in medicine.

[61]  Jeremy M. G. Taylor,et al.  A Stochastic Model for Analysis of Longitudinal AIDS Data , 1994 .

[62]  Robert F. Woolson,et al.  Growth curve analysis of complete and incomplete longitudinal data , 1980 .

[63]  R. C. Bose,et al.  Essays in probability and statistics , 1971 .

[64]  H. Rouanet,et al.  COMPARISON BETWEEN TREATMENTS IN A REPEATED‐MEASUREMENT DESIGN: ANOVA AND MULTIVARIATE METHODS , 1970 .

[65]  M-methods in growth curve analysis , 1986 .

[66]  N. Laird,et al.  Maximum likelihood computations with repeated measures: application of the EM algorithm , 1987 .

[67]  Lewis B. Sheiner,et al.  Heteroscedastic nonlinear regression , 1988 .

[68]  R W Helms,et al.  Maximum likelihood estimation for incomplete repeated-measures experiments under an ARMA covariance structure. , 1989, Biometrics.

[69]  C. G. Khatri,et al.  A note on a manova model applied to problems in growth curve , 1966 .

[70]  M A Schork,et al.  Sample sizes in the multivariate analysis of repeated measurements. , 1986, Biometrics.

[71]  Farid Kianifard,et al.  Models for Repeated Measurements , 2001, Technometrics.

[72]  David J. Hand,et al.  Analysis of Repeated Measures , 1990 .

[73]  H. Huynh,et al.  Conditions under Which Mean Square Ratios in Repeated Measurements Designs Have Exact F-Distributions , 1970 .

[74]  C. Radhakrishna Rao,et al.  Prediction of Future Observations in Growth Curve Models , 1987 .

[75]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[76]  R. W. Wedderburn Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method , 1974 .

[77]  S. Geisser,et al.  An Extension of Box's Results on the Use of the $F$ Distribution in Multivariate Analysis , 1958 .

[78]  P. Albert,et al.  Models for longitudinal data: a generalized estimating equation approach. , 1988, Biometrics.

[79]  K. Liang,et al.  Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests under Nonstandard Conditions , 1987 .

[80]  R. Jennrich,et al.  Unbalanced repeated-measures models with structured covariance matrices. , 1986, Biometrics.

[81]  G. Box Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way Classification , 1954 .

[82]  D. Bates,et al.  Newton-Raphson and EM Algorithms for Linear Mixed-Effects Models for Repeated-Measures Data , 1988 .

[83]  E. Vonesh,et al.  Non-linear models for the analysis of longitudinal data. , 1992, Statistics in medicine.

[84]  J. G. Rowell,et al.  Analysing data with repeated observations on each experimental unit , 1976, The Journal of Agricultural Science.

[85]  Donald F. Morrison,et al.  The Optimal Spacing of Repeated Measurements , 1970 .

[86]  Michael G. Akritas,et al.  Fully Nonparametric Hypotheses for Factorial Designs I: Multivariate Repeated Measures Designs , 1994 .

[87]  T. W. Anderson,et al.  Statistical Inference about Markov Chains , 1957 .

[88]  M. Knott,et al.  Best linear unbiased predictor in the mixed model with incomplete data , 1998 .

[89]  H. Huynh,et al.  Estimation of the Box Correction for Degrees of Freedom from Sample Data in Randomized Block and Split-Plot Designs , 1976 .

[90]  L. Allen,et al.  A cautionary note on the use of autoregressive models in analysis of longitudinal data. , 1989, Statistics in medicine.

[91]  R. Potthoff,et al.  A generalized multivariate analysis of variance model useful especially for growth curve problems , 1964 .

[92]  Donald B. Rubin,et al.  Max-imum Likelihood from Incomplete Data , 1972 .

[93]  Gregory C. Reinsel,et al.  Estimation and Prediction in a Multivariate Random Effects Generalized Linear Model , 1984 .

[94]  Richard H. Jones,et al.  Longitudinal Data with Serial Correlation : A State-Space Approach , 1994 .

[95]  T. Caliński,et al.  A NOTE ON THE ANALYSIS OF COVARIANCE: EFFICIENCY OF CONCOMITANT VARIABLES , 1989 .

[96]  D. Stram,et al.  Variance components testing in the longitudinal mixed effects model. , 1994, Biometrics.

[97]  K. Gabriel,et al.  Ante-dependence Analysis of an Ordered Set of Variables , 1962 .

[98]  J. Singer,et al.  Profile analysis for randomized complete block experiments , 1998 .

[99]  Calyampudi R. Rao SOME PROBLEMS INVOLVING LINEAR HYPOTHESES IN MULTIVARIATE ANALYSIS , 1959 .

[100]  Julio M. Singer,et al.  Regression Models for the Analysis of Pretest/Posttest Data , 1997 .