- vce(ols). The variance estimator for ordinary least squares; an s2(X′X)−1-type calculation.
- vce(oim). The observed information matrix based on the likelihood function; a (−H)−1-type calculation, where H is the Hessian matrix.
- vce(conventional). A generic term to identify the conventional variance estimator associated with the model. For instance, in the Heckman two-step estimator, vce(conventional) means the Heckman-derived variance matrix from an augmented regression. In two different contexts, vce(conventional) does not necessarily mean the same calculation.
- vce(analytic). The variance estimator derived from first principles of statistics for means, proportions, and totals.
- vce(gnr). The variance matrix based on an auxiliary regression, which is analogous to s2(X′X)−1 generalized to nonlinear regression. gnr stands for GaussNewton regression.
- vce(linearized). The variance matrix calculated by a first-order Taylor approximation of the statistic, otherwise known as the Taylor linearized variance estimator, the sandwich estimator, and the White estimator. This is identical to vce(robust) in other contexts
The above are used for defaults. vce() may also be
- vce(robust). The variance matrix calculated by the sandwich estimator of variance, VDV-type calculation, where V is the conventional variance matrix and D is the outer product of the gradients, Σi gig′i.
- vce(clustervarname). The cluster-based version of vce(robust) where sums are performed within the groups formed by varname, which is equivalent to assuming that the independence is between groups only, not between observations.
- vce(hc2) and vce(hc3). Calculated similarly as vce(robust) except that different scores are used in place of the gradient vectors gi.
- vce(opg). The variance matrix calculated by the outer product of the gradients; a (Σi gig′i)−1 calculation.
- vce(jackknife). The variance matrix calculated by the jackknife, including delete one, delete n, and the cluster-based jackknife.
- vce(bootstrap). The variance matrix calculated by bootstrap resampling.