Independent Samples t-Test - Comparing Two Coefficients

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Where \hat{\beta}_1 and \hat{\beta}_1 are two coefficients and n_1, n_2 are their effective sample sizes and se_1 and se_2 are their standard errors, the test statistic is:

t=\frac{\hat{\beta}_1-\hat{\beta}_2}{\sqrt{se^2_1 + se^2_2}},

where:

p = 2\Pr(t_v \ge |t|),
v = \frac{(se^2_1+se^2_2)^2}{se^4_1/(n_1-b)+se^4_2/(n_2-b) } ,
b = Bessel's correction.