• Gaussian
  • If the vector pd1 is Gaussian multivariate-distributed with zero mean and unit covariance matrix N(p01,pIp) and pMp is a p x p matrix with unit scale matrix and m degrees of freedom with a Wishart distribution W(pIp,m), then the Quadratic form m(1dT p M−1pd1) has a Hotelling T2(p,m) distribution with dimensionality parameter p and m degrees of freedom. (wikipedia.org)
  • mathbf {X} )}} has a W − 1 ( A + Ψ , n + ν ) {\displaystyle {\mathcal {W}}^{-1}({\mathbf {A} }+{\mathbf {\Psi } },n+\nu )} distribution, where A = X X T {\displaystyle {\mathbf {A} }=\mathbf {X} \mathbf {X} ^{T}} . Because the prior and posterior distributions are the same family, we say the inverse Wishart distribution is conjugate to the multivariate Gaussian. (wikipedia.org)
  • differences
  • This multivariate technique accounts for differences in the variances of component indexes as well as interdependence among the component indexes. (repec.org)
  • The multivariate aspect of the MANCOVA allows the characterisation of differences in group means in regards to a linear combination of multiple dependent variables, while simultaneously controlling for covariates. (wikipedia.org)
  • multilevel analysis
  • De Leeuw is coauthor of Introducing Multilevel Modeling (1998) and co-editor of the "Handbook of Multilevel Analysis" (2009). (wikipedia.org)
  • Introducing Multilevel Modeling Handbook of Multilevel Analysis De Leeuw's Rpub Page De Leeuw's Research Gate Page homals on CRAN. (wikipedia.org)
  • chapters
  • Other chapters consider the topics of eigenstructures and linear transformations that are important to the understanding of multivariate techniques. (elsevier.com)
  • Chapter
  • Topical content is standard except for a chapter devoted to the analysis of scales, an important issue for clinical and social psychologists. (google.com)
  • latent
  • Dr. Wallentin's program of research is on the theory and applications of latent variable modeling and other types of multivariate statistical analysis, particularly their applications in the social and behavioral sciences. (springer.com)
  • Overview: Factor analysis is used to uncover the latent structure (dimensions) of a set of variables. (wikipedia.org)
  • Procedure
  • As a multivariate procedure, it is used when there are two or more dependent variables, and is typically followed by significance tests involving individual dependent variables separately. (wikipedia.org)
  • examples
  • To illustrate multivariate applications, the author provides examples and exercises based on fifty-nine real data sets from a wide variety of scientific fields. (ebooks.com)
  • researchers
  • Multivariate analysis enables researchers to explore the joint performance of such variables and to determine the effect of each variable in the presence of the others. (ebooks.com)
  • Longitudinal analysis-Repeated measure designs allow researchers to monitor how participants change over time, both long- and short-term situations. (wikipedia.org)
  • Techniques
  • Fully integrated model building combines Quality Analyst's exceptional database connectivity capabilities with Pirouette's comprehensive multivariate modeling techniques. (adeptscience.co.uk)