The first one (top left) seems to be distributed normally, and corresponds to what one would expect when considering two variables correlated and following the assumption of normality. The second one (top right) is not distributed normally;
en.wikipedia.org/wiki/Correlation_and_dependence en.wikipedia.org/wiki/Correlation_and_dependence
Learn more about correlation, a statistical technique that shows how strongly pairs of variables are related. Request your free quote from Creative Research Systems on all our survey systems and software. ... Correlation is a statistical technique that can show whether and how strongly pairs of variables are related.
www.surveysystem.com/correlation.htm www.surveysystem.com/correlation.htm
One should take care to avoid feeding correlated variables to one’s data mining and statistical models. At best, using correlated variables will overemphasize one data component; at worst, using correlated variables will cause the model to become unstable and deliver unreliable results.
wardselitelimo.com/2008/12/20/dealing-with-correlated-v... wardselitelimo.com/2008/12/20/dealing-with-correlated-variables/
Slide 3...
www.pop.upenn.edu/~hsmith/13and15april1999/slide3.html
; Next: Comparing two distances Up: Permutation tests for Correlation Previous: Permutation tests for Correlation; ... Here is matlab example for testing the correlation between the two variables x and y:
www-stat.stanford.edu/~susan/phylo/index/node63.html
Just think about N correlated variables. Maybe what you want to do is diagonalize the covariance matrix, and order the diagonal elements in descending magnitude. The first k of the N transformed variables will represent the most efficient k variables for reducing the remaining variation.
www.physicsbanter.com/physics-general-discussion/76942-... www.physicsbanter.com/physics-general-discussion/76942-what-statistical-measure-degrees-freedom.html
0221 Correlated Variables Are Not Always Redundant: The Problem Of Multicollinearity ... However, we demonstrate that multicollinearity will sometimes generate spuriously strong associations between correlated variables and the outcome.
iadr.confex.com/iadr/bsdr04/techprogram/abstract_48998.... iadr.confex.com/iadr/bsdr04/techprogram/abstract_48998.htm
Re: [R] impute missing values in correlated variables: transcan? by roger koenker ... On Nov 30, 2004, at 10:52 AM, Jonathan Baron wrote: > I would like to impute missing data in a set of correlated ; > variables (columns of a matrix). It looks like transcan() from ; > Hmisc is roughly what I want.
www.opensubscriber.com/message/r-help@stat.math.ethz.ch... www.opensubscriber.com/message/r-help@stat.math.ethz.ch/241795.html
This allows us to identify classes of non-identical and (generally) correlated random variables with a sum distributed according to one of the three (k-dependent) asymptotic distributions of extreme value statistics, namely the Gumbel, Fréchet and Weibull distributions.
dx.doi.org/10.1088/0305-4470/39/24/001
A similar analysis for the weakly correlated variables fat and calcium (figure 2) demonstrates greater power than that in the fat/fiber analyses for equivalent cohort sizes, but there is little gain beyond a calibration study size of 250–500 subjects.
aje.oxfordjournals.org/cgi/content/full/154/9/836