Design matrix, Advanced Statistics

It is used generally for the matrix which specifies a statistical model for a set of observations.

For instance, in a one-way design with the three observations in one group, two observations in the  second group and a one observation in the third group, and where the model is
2142_design matrix.png 

the design matrix, X is
1554_design matrix1.png 
By making use of this matrix the model for all the observations can be conveniently expressed in matrix form as
1081_design matrix2.png 
1904_design matrix3.png 
It is also used specifically for the matrix X in the designed industrial experiments which specify the chosen values of the explanatory variables; these are frequently selected using one or the other criteria.

Posted Date: 7/27/2012 2:24:53 AM | Location : United States







Related Discussions:- Design matrix, Assignment Help, Ask Question on Design matrix, Get Answer, Expert's Help, Design matrix Discussions

Write discussion on Design matrix
Your posts are moderated
Related Questions
Oracle property is a name given to techniques for estimating the regression parameters in the models fitted to high-dimensional data which have the property that they can correctl

This term is sometimes used for the analysis of data from the clinical trial in which treatments A and B are to be compared under the suppositions that the patients remain on their

1) Question on the first day questionnaire asked students to rate their response to the question Are you deeply moved by the arts or music? Assume the population that is sampled

Kaiser's rule is the  rule frequently used in the principal components analysis for selecting the suitable the number of components. When the components are derived from correlati

The procedures for extracting the pattern in a series of observations when this is obscured by the noise. Basically any such technique or method separates the original series into

The graphical method for studying the behavior of the seasonal time series. In such a plot, the January values of seasonal component are graphed for the upcoming years, then the

Mantel Haenszel  estimator is  an estimator of assumed common odds ratio in the series of two-by-two contingency tables arising from the different populations, for instance, occ

Mauchly test is a test which a variance-covariance matrix of pair wise differences of responses in the set of longitudinal data is the scalar multiple of identity matrix, a proper

A mixture of benzene, toluene, and xylene enters a two-stage distillation process where some of the componentsare recovered. The distillation process operates at steady-state condi

Cellular proliferation models : Models are used to describe the growth of the  cell populations. One of the example is the deterministic model   where N(t) is the number of cel