RegressionCommon`
RegressionCommon`

ParameterConfidenceRegion

As of Version 7.0, ParameterConfidenceRegion has become a property of LinearModelFit and NonlinearModelFit.

ParameterConfidenceRegion

is a possible value for the RegressionReport option which represents the elliptically shaped joint confidence region for parameter estimates.

更多信息和选项

  • To use ParameterConfidenceRegion, you first need to load the Regression Common Functions Package. You can do this by using Needs["LinearRegression`"] or Needs["NonlinearRegression`"], which will automatically load the Regression Common Functions Package, or you can load the package directly by using Needs["RegressionCommon`"].
  • ParameterConfidenceRegion gives a confidence region for all fitted parameters.
  • ParameterConfidenceRegion is based on CovarianceMatrix for linear regressions using Regress or DesignedRegress, and AsymptoticCovarianceMatrix for nonlinear regressions using NonlinearRegress.
  • The confidence level for the region can be specified via the ConfidenceLevel option.
  • ParameterConfidenceRegion is represented using an Ellipsoid object.
  • ParameterConfidenceRegion[{basis1,basis2,…}]
    can be specified to obtain a confidence region for the basis functions basis1,basis2,… in a linear regression.
  • ParameterConfidenceRegion[{par1,par2,…}]
    can be specified to obtain a confidence region for the parameters par1,par2,… in a nonlinear regression.

范例

基本范例  (1)

Sample data:

ParameterConfidenceRegion for a linear regression:

Wolfram Research (2007)，ParameterConfidenceRegion，Wolfram 语言函数，https://reference.wolfram.com/language/RegressionCommon/ref/ParameterConfidenceRegion.html.

文本

Wolfram Research (2007)，ParameterConfidenceRegion，Wolfram 语言函数，https://reference.wolfram.com/language/RegressionCommon/ref/ParameterConfidenceRegion.html.

CMS

Wolfram 语言. 2007. "ParameterConfidenceRegion." Wolfram 语言与系统参考资料中心. Wolfram Research. https://reference.wolfram.com/language/RegressionCommon/ref/ParameterConfidenceRegion.html.

APA

Wolfram 语言. (2007). ParameterConfidenceRegion. Wolfram 语言与系统参考资料中心. 追溯自 https://reference.wolfram.com/language/RegressionCommon/ref/ParameterConfidenceRegion.html 年

BibTeX

@misc{reference.wolfram_2024_parameterconfidenceregion, author="Wolfram Research", title="{ParameterConfidenceRegion}", year="2007", howpublished="\url{https://reference.wolfram.com/language/RegressionCommon/ref/ParameterConfidenceRegion.html}", note=[Accessed: 22-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_parameterconfidenceregion, organization={Wolfram Research}, title={ParameterConfidenceRegion}, year={2007}, url={https://reference.wolfram.com/language/RegressionCommon/ref/ParameterConfidenceRegion.html}, note=[Accessed: 22-November-2024 ]}