CovarianceMatrixDetRatio
CovarianceMatrixDetRatio
is a possible value for the RegressionReport option for Regress and DesignedRegress which represents the covariance determinant ratio diagnostic.
Details and Options
- To use CovarianceMatrixDetRatio, you first need to load the Regression Common Functions Package. You can do this by using Needs["LinearRegression`"], which will automatically load the Regression Common Functions Package, or you can load the package directly by using Needs["RegressionCommon`"].
- CovarianceMatrixDetRatio gives a list of values which measure the effect of removing a data point.
- The i
element in the list is the ratio of the determinant of CovarianceMatrix for all the data points to the equivalent determinant with the i
data element removed.
- A value less than 1-3
or greater than 1+3
, where n is the number of data points and p is the number of parameters, may indicate a highly influential point.
Examples
Basic Examples (1)Summary of the most common use cases
Wolfram Research (2007), CovarianceMatrixDetRatio, Wolfram Language function, https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html.
Text
Wolfram Research (2007), CovarianceMatrixDetRatio, Wolfram Language function, https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html.
Wolfram Research (2007), CovarianceMatrixDetRatio, Wolfram Language function, https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html.
CMS
Wolfram Language. 2007. "CovarianceMatrixDetRatio." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html.
Wolfram Language. 2007. "CovarianceMatrixDetRatio." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html.
APA
Wolfram Language. (2007). CovarianceMatrixDetRatio. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html
Wolfram Language. (2007). CovarianceMatrixDetRatio. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html
BibTeX
@misc{reference.wolfram_2025_covariancematrixdetratio, author="Wolfram Research", title="{CovarianceMatrixDetRatio}", year="2007", howpublished="\url{https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html}", note=[Accessed: 05-April-2025
]}
BibLaTeX
@online{reference.wolfram_2025_covariancematrixdetratio, organization={Wolfram Research}, title={CovarianceMatrixDetRatio}, year={2007}, url={https://reference.wolfram.com/language/RegressionCommon/ref/CovarianceMatrixDetRatio.html}, note=[Accessed: 05-April-2025
]}