⏾ Concept Map

Reduced Chi-Squared (χᵥ²) ○◂ Entries

↩ 🔵 🔵 🔵

Primary

၊၊||၊|။

Reduced Chi-Squared (χᵥ²) ○◂｜Definition｜1st｜20251119205401-00-⌔

Reduced chi-squared statistic - Wikipedia

Reduced chi-squared statistic

In statistics, the reduced chi-square statistic is used extensively in goodness of fit testing. It is also known as mean squared weighted deviation (MSWD) in isotopic dating1 and variance of unit weight in the context of weighted least squares.23

Its square root is called regression standard error,4 standard error of the regression,56 or standard error of the equation7 (see Ordinary least squares § Reduced chi-squared)

Printed 2026-06-28.

(echo:: @ ᯤ)

Footnotes

  1. Wendt, I., and Carl, C., 1991, The statistical distribution of the mean squared weighted deviation, Chemical Geology, 275–285. ↩

  2. Strang, Gilbert; Borre, Kae (1997). Linear algebra, geodesy, and GPS. Wellesley-Cambridge Press. p. 301. ISBN 9780961408862. ↩

  3. Koch, Karl-Rudolf (2013). Parameter Estimation and Hypothesis Testing in Linear Models. Springer Berlin Heidelberg. Section 3.2.5. ISBN 9783662039762. ↩

  4. Julian Faraway (2000), Practical Regression and Anova using R ↩

  5. Kenney, J.; Keeping, E. S. (1963). Mathematics of Statistics. van Nostrand. p. 187. ↩

  6. Zwillinger, D. (1995). Standard Mathematical Tables and Formulae. Chapman&Hall/CRC. p. 626. ISBN 0-8493-2479-3. ↩

  7. Hayashi, Fumio (2000). Econometrics. Princeton University Press. ISBN 0-691-01018-8. ↩

Link to original

Secondary

• • •