T-Test of a Regression Coefficient

Where $\hat{\beta }$ is a coefficient, $n$ is the effective number of observations (note that this is different to the effective sample size where repeated observations exist for each respondent) and $s{e}_{\beta }$ is the standard error of the coefficient, the test statistic is:

$t=\frac{\hat{\beta }}{s{e}_{\beta }}$,

where:

$p=2\mathrm{Pr}(t_{n-k}\ge |t|)$,

$k$ is the number of parameters, including the intercept (where applicable).