MultivariateStatistics`
MultivariateStatistics`
MultivariateTrimmedMean
MultivariateTrimmedMean[matrix,f]
gives the mean of the bivariate data matrix after dropping a fraction f of the outermost vectors.
Details and Options
- To use MultivariateTrimmedMean, you first need to load the Multivariate Statistics Package using Needs["MultivariateStatistics`"].
- MultivariateTrimmedMean gives a robust estimate of the mean by excluding extreme values.
- The outlying vectors are removed by repeatedly peeling off layers of convex hulls from the data until at least a fraction f have been removed.
- MultivariateTrimmedMean interpolates between the means of the points remaining before and after the last layer is removed.
- MultivariateTrimmedMean[matrix,0] is equivalent to Mean[matrix].
- MultivariateTrimmedMean[matrix,f] approaches ConvexHullMedian[matrix] as f approaches 1.
Examples
Wolfram Research (2007), MultivariateTrimmedMean, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/MultivariateTrimmedMean.html.
Text
Wolfram Research (2007), MultivariateTrimmedMean, Wolfram Language function, https://reference.wolfram.com/language/MultivariateStatistics/ref/MultivariateTrimmedMean.html.
CMS
Wolfram Language. 2007. "MultivariateTrimmedMean." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/MultivariateStatistics/ref/MultivariateTrimmedMean.html.
APA
Wolfram Language. (2007). MultivariateTrimmedMean. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/MultivariateStatistics/ref/MultivariateTrimmedMean.html