Method evidence record

Least Median of Squares

Least Median of Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of minimising the sum of squared residuals like ordinary least squares, it minimises the median of the squared residuals, which lets the fit resist contamination by up to roughly 50% outliers.

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Least Median of Squares Regression

Taxonomic method record · regression-model / statistics

Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. · DOI 10.1080/01621459.1984.10477105
Hampel, F. R., Ronchetti, E. M., Rousseeuw, P. J., & Stahel, W. A. (1986). Robust Statistics: The Approach Based on Influence Functions. Wiley. · ISBN 978-0471735779

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Related methods

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Same method familyLeast Trimmed Squaresmachine-suggested · Relational suggestion, not evidence.Same method familyOLS Regressionmachine-suggested · Relational suggestion, not evidence.Same method familyQuantile Regressionmachine-suggested · Relational suggestion, not evidence.Same method familyRANSAC Regressionmachine-suggested · Relational suggestion, not evidence.Same method familyTheil-Sen Estimatormachine-suggested · Relational suggestion, not evidence.