• ###### 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
• 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)
• Table 2-1 contains the variables used in the multivariate models and highlights the differences in the use of severity measures across modules. (hhs.gov)
• This multivariate technique accounts for differences in the variances of component indexes as well as interdependence among the component indexes. (repec.org)
• ###### distributions
• The definition of elliptical distributions for real random-vectors has been extended to accommodate random vectors in Euclidean spaces over the field of complex numbers, so facilitating applications in time-series analysis. (wikipedia.org)
• ###### Wishart
• Chi-squared distribution F-distribution Gamma distribution Hotelling's T-squared distribution Student's t-distribution Wishart distribution Multivariate beta distribution Kanti Mardia, John T. Kent and John Bibby (1979). (wikipedia.org)
• Many writers have considered the growth curve analysis among them Wishart (1938), Box (1950) and Rao (1958). (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)
• ###### Data Analysis
• Hair, J. F. Jr. (1995) Multivariate Data Analysis with Readings, 4th ed. (wikipedia.org)
• Experience with data-analysis tools. (mcgill.ca)
• Yet again Origin and OriginPro upholds its foremost status as the best purposeful and all-embracing data analysis and graphing software on the market. (adeptscience.co.uk)
• Although other software packages exist, few are as straightforward to use, flexible, and high-quality when it comes to performing challenging data analysis or creating publication superior graphs. (adeptscience.co.uk)
• The company specializes in the development and marketing of inexpensive and easy-to-use statistical software for scientists, as well as in data analysis consulting. (kovcomp.co.uk)
• ###### Techniques
• It is written for the user and potential user of multivariate techniques as well as for students coming to the subject for the first time. (google.com)
• Other chapters consider the topics of eigenstructures and linear transformations that are important to the understanding of multivariate techniques. (elsevier.com)
• Fully integrated model building combines Quality Analyst's exceptional database connectivity capabilities with Pirouette's comprehensive multivariate modeling techniques. (adeptscience.co.uk)
• Multivariate Analysis Techniques With Application in Mining. (cdc.gov)
• This Bureau of Mines report analyzes data on the physical properties of quartzite rock from the Crescent Mine, Coeur d'Alene Mining District, Kellogg, Idaho, to demonstrate the use of multivariate techniques. (cdc.gov)
• ###### Vector
• Representing a major improvement upon the standard "black box" approach to analyzing economic model structure, it introduces the powerful concept of parameter sensitivity analysis within a linear systems root/vector framework. (google.com)
• ###### factor analysis
• Overview: Factor analysis is used to uncover the latent structure (dimensions) of a set of variables. (wikipedia.org)
• Factor analysis originated a century ago[when? (wikipedia.org)
• For example, integration of drilling and seismic data Factor analysis is part of the general linear model (GLM) family of procedures and makes many of the same assumptions as multiple regression, but it uses multiple outcomes. (wikipedia.org)
• Introduction to factor analysis. (indiana.edu)
• 10. Analysing individual profiles by three-way Factor analysis (P.M. Brockhoff, D. Hirst, T. Næs). (elsevier.com)
• The "Big Five personality traits" have been inferred using factor analysis. (wikipedia.org)
• ###### 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)
• ###### evaluate
• 2.To be able to objectively evaluate manuscripts in which selected MS analyses were employed. (indiana.edu)
• ###### normal distribution
• The errors are usually assumed to be uncorrelated across measurements, and follow a multivariate normal distribution. (wikipedia.org)
• ###### extension
• A Multivariate Analysis and Extension of the Human Development Index ," Working Papers 2004-01, Utah State University, Department of Economics. (repec.org)
• ###### models
• Five multivariate models were run to examine the effects of beneficiary demographics, supply of PAC providers, severity of illness, and organizational relationships on any post-acute service use, index admission length of stay, first site of PAC, acute hospital readmission during post-acute episodes, and total Medicare payments for episodes of PAC. (hhs.gov)
• This analysis tests two models: model I excludes variables based on worker perceptions that were suspected to be endogenous with job satisfaction ( HHA feels valued by organization, Aide feels involved in challenging work, Aide feels trusted with patient care decisions, Aide feels confident in ability to do job, Time for ADLs, Satisfaction with hours, Aide feels respected by supervisor, Aide feels respected by patients ), while model II includes these variables. (hhs.gov)
• Real-time analysis is provided by NWA Focus EMI™ using the same database connections and multivariate models, simplifying the transition from off-line to real-time multivariate SPC. (adeptscience.co.uk)
• Multivariate models are incorporated into the Quality Analyst Data Set definitions. (adeptscience.co.uk)
• Linear and Nonlinear Models for the Analysis of Repeated Measurements. (wikipedia.org)
• ###### general
• The general linear model or multivariate regression model is a statistical linear model. (wikipedia.org)
• An application of the general linear model appears in the analysis of multiple brain scans in scientific experiments where Y contains data from brain scanners, X contains experimental design variables and confounds. (wikipedia.org)
• ###### results
• The results showed that inclusion of the covariate allowed improved estimates of the trend against time to be obtained, compared to analyses which omitted the covariate. (wikipedia.org)
• 3.To carry out MS analyses of data by SAS software and to interpret the analysis results in written reports. (indiana.edu)
• The gametic disequilibria between all possible pairs of loci were examined for a set of eight codominant loci in each of fifty Yanomama villages, using a multivariate correlation analysis which reduces the results to a single measure of departure from multiple-locus-gametic equilibrium. (genetics.org)
• Processes and results are presented in such a way that they can be understood not only by statisticians but also by experienced sensory panel leaders and users of sensory analysis. (elsevier.com)
• ###### variables
• In design and analysis, the technique is used to perform trade studies across multiple dimensions while taking into account the effects of all variables on the responses of interest. (wikipedia.org)
• 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)
• ###### uses
• Uses for multivariate analysis include: design for capability (also known as capability-based design) inverse design, where any variable can be treated as an independent variable Analysis of Alternatives (AoA), the selection of concepts to fulfil a customer need analysis of concepts with respect to changing scenarios identification of critical design-drivers and correlations across hierarchical levels. (wikipedia.org)
• method uses a multivariate test statistic for the summary table. (ethz.ch)