Journal ArticleDOI
Estimation from incomplete data in growth curves models
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An algorithm which is often referred as the EM algorithm is presented, which utilizes the technique of analysis of covariance for analysing growth curve data with missing values.Abstract:
This paper considers a computational method for analysing growth curve data with missing values. We present an algorithm which is often referred as the EM algorithm. The procedure proposed here utilizes the technique of analysis of covariance.read more
Citations
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The growth curve model: a review
TL;DR: In this paper, a survey is given of papers which have influenced or have been influenced by the growth curve model due to Potthoff & Roy (1964), and a review covers, among others, methods of estimating parameters, the canonical version of the model, tests, extensions, incomplete data, Bayesian approaches and covariance structures.
Journal ArticleDOI
Maximum likelihood estimators in multivariate linear normal models
TL;DR: In this paper, a unified approach of treating multivariate linear normal models is presented, which is based on a useful extension of the growth curve model, and the finding of maximum likelihood estimators when linear restrictions exist on the parameters describing the mean in the growing curve model is considered.
Journal ArticleDOI
Prediction in repeated-measures models with engineering applications
Erkki P. Liski,Tapio Nummi +1 more
TL;DR: A conditional predictor is introduced that uses the information contained in previous measurements to select an appropriate predictor for a statistical unit given past measurements on the same and other similar units.
Journal ArticleDOI
Hypothesis Testing in Multivariate Linear Models with Randomly Missing Data
TL;DR: In this article, an EM algorithm was used for parameter estimation and Rao's F approximation for Wilks' A with adjusted error degrees of freedom was evaluated using a Monte Carlo simulation, which consistently yielded slightly conservative test sizes and substantially greater test powers than listwise deletion.
Journal ArticleDOI
Individual Growth Curves and Longitudinal Growth Charts between 0 and 3 Years
TL;DR: This paper deals with the application of a two‐stage model to the growth in length of 203 girls and 217 boys in Naples between 1977 and 1981.
References
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Journal ArticleDOI
Maximum likelihood from incomplete data via the EM algorithm
Journal ArticleDOI
A generalized multivariate analysis of variance model useful especially for growth curve problems
Richard F. Potthoff,S. N. Roy +1 more
TL;DR: In this paper, the usual MANOVA (multivariate analysis of variance) model (see equation (1)) may be generalized by allowing for the appending of a post-matrix in the expectation equation.
Journal ArticleDOI
The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves
TL;DR: In the present paper, a class of problems where the dispersion matrix has a known structure is considered and the appropriate statistical methods are discussed.
Journal ArticleDOI
Analysis of growth and dose response curves
James E. Grizzle,David M. Allen +1 more
TL;DR: The method yields results identical to those obtained by weighting inversely by the sample covariance matrix, but has the additional feature of allowing flexibility in weighting by choosing subsets of covariates that have special properties.
A missing information principle: theory and applications
TL;DR: The problem that a relatively simple analysis is changed into a complex one just because some of the information is missing, is one which faces most practicing statisticians at some point in their career.
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A generalized multivariate analysis of variance model useful especially for growth curve problems
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