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Estimation of parameters in the classical Growth Curve model, when the covariance matrix has some specific linear structure, is considered. In our examples maximum likelihood estimators cannot be obtained explicitly and must rely on optimization algorithms. Therefore explicit estimators are...
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A one sample statistic is derived for the analysis of repeated measures design when the data are multivariate normal and the dimension, d, can be large compared to the sample size, n, i.e. dn. Quadratic and bilinear forms are used to define the statistic based on Box's approximation [Box,...
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Several proposals for exact or at least conservative parametric multivariate tests in the general linear model are considered that are applicable also for high-dimensional data, where the dimension of the observations may exceed the sample size. The common feature is the inclusion of principal...
Persistent link: https://www.econbiz.de/10005118003
Likelihood ratio tests for detecting a single outlier in multivariate linear models are considered, where an observation is called an outlier if there has been a shift in the mean. The test statistics are the maximum of n nonindependent statistics, where n is the number of observations. Relevant...
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A new approach of estimating parameters in multivariate models is introduced. A fitting function will be used. The idea is to estimate parameters so that the fitting function equals or will be close to its expected value. The function will be decomposed into two parts. From one part, which will...
Persistent link: https://www.econbiz.de/10005153188