
doi: 10.1111/biom.12207
pmid: 24975922
SummaryWe develop a linear mixed regression model where both the response and the predictor are functions. Model parameters are estimated by maximizing the log likelihood via the ECME algorithm. The estimated variance parameters or covariance matrices are shown to be positive or positive definite at each iteration. In simulation studies, the approach outperforms in terms of the fitting error and the MSE of estimating the “regression coefficients.”
linear mixed effects models, Generalized linear models (logistic models), Likelihood Functions, principal component analysis, Numerical Analysis, Computer-Assisted, Factor analysis and principal components; correspondence analysis, Models, Biological, Applications of statistics to biology and medical sciences; meta analysis, Pattern Recognition, Automated, Data Interpretation, Statistical, Linear Models, Regression Analysis, Computer Simulation, Nonparametric regression and quantile regression, ECME algorithm, Algorithms, functional data analysis
linear mixed effects models, Generalized linear models (logistic models), Likelihood Functions, principal component analysis, Numerical Analysis, Computer-Assisted, Factor analysis and principal components; correspondence analysis, Models, Biological, Applications of statistics to biology and medical sciences; meta analysis, Pattern Recognition, Automated, Data Interpretation, Statistical, Linear Models, Regression Analysis, Computer Simulation, Nonparametric regression and quantile regression, ECME algorithm, Algorithms, functional data analysis
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