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ESTIMATION AND TESTING OF SIMPLEX MODELS
Author(s) -
Jöreskog Karl G.
Publication year - 1970
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1970.tb00439.x
Subject(s) - simplex , covariance , goodness of fit , mathematics , identification (biology) , markov chain , statistical hypothesis testing , estimation theory , mathematical optimization , computer science , statistics , combinatorics , botany , biology
Various statistical models for simplex structures are formulated in terms of the well‐known Wiener and Markov stochastic processes. A distinction is made between a perfect simplex and a quasi‐simplex. For each model the problems of identification and estimation of the parameters and that of testing the goodness of fit of the model are considered. All models may be estimated by a general method for covariance structures developed by Jöreskog (1970), but in some cases simpler methods may be used, in which case these are presented.

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