Total Least Squares

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High Quality Content by WIKIPEDIA articles! Total least squares, also known as errors in variables, rigorous least squares, or orthogonal regression, is a least squares data modeling technique in which observational errors on both dependent and independent variables are taken into account. It is a generalization of Deming regression, and can be applied to both linear and non-linear models. In short, total least squares does not have the property of units-invariance (it is not scale invariant). For a meaningful model we require this property to hold. A way forward is to realise that residuals (distances) measured in different units can be combined if multiplication is used instead of addition. Consider fitting a line: for each data point the product of the vertical and horizontal residuals equals twice the area of the triangle formed by the residual lines and the fitted line.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130336370
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H221mm x B149mm x T15mm
    • Jahr 2010
    • EAN 9786130336370
    • Format Kartonierter Einband
    • ISBN 978-613-0-33637-0
    • Titel Total Least Squares
    • Untertitel Least Squares, Overdetermined System, System of Linear Equations, Carl Friedrich Gauss, Linear Least Squares, Non-Linear Least Squares, Gauss-Newton Algorithm, Weighted Mean
    • Gewicht 168g
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 100
    • Genre Mathematik

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