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| In [[statistics]], the '''Ramsey Regression Equation Specification Error Test (RESET) test''' (Ramsey, 1969) is a general [[specification (regression)|specification]] test for the [[linear regression]] model. More specifically, it tests whether non-linear combinations of the fitted values help explain the [[response variable]]. The intuition behind the test is that if non-linear combinations of the [[explanatory variable]]s have any power in explaining the response variable, the model is mis-specified.
| | [http://richlinked.com/index.php?do=/profile-32092/info/ over the counter std test] title of the author is Numbers but it's not the most masucline name out there. He used to be unemployed but now he is a meter reader. One of the issues she loves most is to do aerobics and now she is attempting to make cash with it. For many years he's been living in North Dakota and his family enjoys it. |
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| ==Technical summary==
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| Consider the model
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| : <math>\hat{y}=E\{y|x\}=\beta x.</math> | |
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| The Ramsey test then tests whether <math>(\beta x)^2, (\beta x)^3...,(\beta x)^k</math> has any power in explaining <math>y</math>. This is executed by estimating the following [[linear regression]]
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| : <math>y=\alpha x + \gamma_1\hat{y}^2+...+\gamma_{k-1}\hat{y}^k+\epsilon</math>,
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| and then testing, by a means of a [[F-test]] whether <math>\gamma_1~</math> through <math>~\gamma_{k-1}</math> are zero. If the null-hypothesis that all <math>\gamma~</math> coefficients are zero is rejected, then the model suffers from mis-specification.
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| ==References==
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| * Ramsey, J.B. (1969) "Tests for Specification Errors in Classical Linear Least Squares Regression Analysis", ''[[Journal of the Royal Statistical Society]], Series B.'', 31(2), 350–371. {{JSTOR|2984219}}
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| *Thursby, J.G., Schmidt, P. (1977) "Some Properties of Tests for Specification Error in a Linear Regression Model", ''[[Journal of the American Statistical Association]]'', 72, 635–641. {{JSTOR|2286231}}
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| *Murteira, Bento. (2008) ''Introdução à Estatística'', McGraw Hill.
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| *Wooldridge, Jeffrey M. (2006) ''Introductory Econometrics - A Modern Approach'', Thomson South-Western, International Student Edition.
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| [[Category:Statistical tests]]
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| [[Category:Regression diagnostics]]
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