Econometrica: Sep 1975, Volume 43, Issue 5

Note on a Large-Sample Result in Specification Analysis

https://doi.org/0012-9682(197509/11)43:5/6<933:NOALRI>2.0.CO;2-C
p. 933-936

T. Kloek

If two linear models have different sets of explanatory variables and the same variable to be explained, the residual variance of the correct model (S^2"n) has a smaller mean value than that of the incorrect one (t^2"n). This note shows under fairly general conditions that S^2"n < t^2"n will hold with probability arbitrarily close to 1 provided that the sample size n is large enough.

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