| Estimator | Class | Used in | Description |
| MINRESa | LS | EFA | Minimum Residual |
| PAb | LS | EFA | Principal Factor Solution (aka PAF) |
| WLS | LS | EFA/CFA/SEM | Weighted Least Squares (aka ADF) |
| GLS | LS | EFA/CFA/SEM | Generalized Least Squares |
| ML | ML | EFA/CFA/SEM | Maximum Likelihood |
| DWLS | LS | CFA/SEM | Diagonally weighted least squares |
| ULS | LS | CFA/SEM | Unweighted Least Squares |
| DLS | LS | CFA | Distributionally-weighted Least Squares |
| PML | ML | CFA/SEM | Pairwise Maximum Likelihood |
| MLM | ML | CFA/SEM | ML with robust standard errors and SB χ2 |
| MLR | ML | CFA/SEM | ML with robust standard errors and Yuan-Bentler χ2 |
| MLMVS | ML | CFA/SEM | ML with robust standard errors and a mean-and variance-adjusted χ2 (Satterthwaite technique) |
| MLMV | ML | CFA/SEM | ML with robust standard errors and a mean-and variance-adjusted χ2 (Scale-shifted method) |
| WLSM | LS | CFA/SEM | WLS with robust standard errors and a mean-adjusted χ2 |
| WLSMV | LS | CFA/SEM | WLS with robust standard errors and a mean-adjusted χ2 (scale-shifted technique) |
| WLSMVS | LS | CFA/SEM | WLS with robust standard errors and a mean-adjusted χ2, (Satterthwaite technique) |
| ULSM | LS | CFA/SEM | ULS with robust standard errors and a mean-adjusted test statistic. |
| ULSMVS | LS | CFA/SEM | ULS with robust standard errors and a mean-adjusted χ2 (Satterthwaite technique) |
| ULSMV | LS | CFA/SEM | ULS with robust standard errors and a mean-adjusted χ2 (scale-shifted technique) |