{smcl}
{* 02may2007}{...}
{cmd:help vuong}{right:version: 1.0.0}
{hline}
{title:Title}
{p 4 8}{cmd:vuong} - Performs Vuong (1989 Econometrica) test comparing (possibly)
non-nested linear regression specifications. {p_end}
{title:Syntax}
{p 4 6 2}
{cmd:vuong}
{it:modelA modelB}
{title:Description}
{p 4 4 2}
{cmd:vuong} computes the Vuong (1989 Econometrica) test as implemented in Dechow (1994 Journal of Accounting and economics. The test statistic is obtained by first computing the following quantity for each observation i:{p_end}
{p 8 8 2}
m(i)=0.5*log(RSSa/RSSb) + 0.5*n*[(ea(i))^2/RSSa - (eb(i))^2/RSSb]
{p_end}
{p 4 4 2}
where RSSa is the residual sum of squares for regression specification A and ea(i) is observation i's residual in regression specification A. The definitions of RSSb and eb(i) are similar for regression specification B. n is the number of observations in the regression.
{p_end}
{p 4 4 2}
The test statistic is computed by regressing the m(i)'s on a constant. The t-statistic on the constant, multiplied by -sqrt[(n-1)/n], is the Z-statistic for the Vuong test. A positive value indicates that {it:modelA} is better specified than {it:modelB} and vice versa.
{p_end}
{title:Example}
{phang}{stata "reg y x" : . reg y x}{p_end}
{phang}{stata "est store modA" : . est store modA}{p_end}
{phang}{stata "reg y z" : . reg y z}{p_end}
{phang}{stata "est store modB" : . est store modB}{p_end}
{phang}{stata "vuong modA modB" : . vuong modA modB}{p_end}
{title:Author}
{p 4 4}Judson Caskey, UT, judson.caskey@mccombs.utexas.edu{p_end}



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