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"RED 2" is rated PG-13 (Parents strongly cautioned).
Therefore, a fitting can be characterized as "good" when χ red 2 ~ 1, otherwise there is an overestimation, χ red 2 < 1, or underestimation, χ red 2 > 1, of the errors.
(d) Finally, when the errors are too large (overestimation), the reduced Chi-square is χ red 2 < 1.
Indeed, p-values larger than 0.5 correspond to χ est 2 < M or χ red 2 < 1.
(c) In the case where the errors are similar to the deviations of the data points from the model, the reduced Chi-square is χ red 2 ~ 1, and the fitting is good.
The goodness of a fitting can be estimated by the reduced Chi-square value, χ red 2 = 1 M χ test 2, where M = N-1 indicates again the degrees of freedom.
Similar(44)
Proposition 5.11 The conforming BEM of the hyper-singular integral equation (5.22) on the screen with weighted-residual error estimator (5.26) satisfies stability (A1), reduction (A2) with ρ red = 2 − 1 / (d − 1 ), and discrete reliability (A4) with R (T, T ^ ) = T ∖ T ^.
Proposition 10.1 The conforming discretization of (10.4) with residual error estimator (10.8) satisfies stability (A1), reduction (A2) with ρ red = 2 − 1 / d, generalized quasi-orthogonality (A3), and discrete reliability (A4) with R (T, T ^ ) = T ∖ T ^.
Moreover, η satisfies the axioms homogeneity (B0), stability (B1), reduction (A2) with ρ red = 2 − 1 / d, general quasi-orthogonality (A3), and weak discrete reliability (B4) with R (ε ; T, T ^ ) = T ∖ T ^.
Proposition 5.1 The conforming discretization of the Poisson problem (5.1) with residual error estimator (5.5) satisfies stability (A1), reduction (A2) with ρ red = 2 − 1 / d, discrete reliability (A4) with R (T, T ^ ) = T ∖ T ^ and efficiency (4.6) with (5.7) osc (T ; U (T ) ) ≔ osc (T ) ≔ min F ∈ P p − 1 (T ) ‖ h (T ) (f − F ) ‖ L 2, where ‖ osc ‖ O 1 / d < ∞ is guaranteed.
Always in Fridge: Gatorade, red G2.
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