SUMMARY: The connections between measures of leverage, statistical curvature, and the local influence of a mean-shift perturbation are explored in nonlinear regression models. The circumstances under which the Jacobian leverage reduces to a commonly-used linear approximation are found to be connected to the effective residual curvature of the nonlinear model. The local influence of a mean-shift perturbation in the model function is seen to be closely related to the Jacobian leverage.
Bibliographical noteFunding Information:
This work was supported in part by grants from the National Institutes of Health and the National Science Foundation.
- Influential observation
- Jacobian leverage
- Mean-shift perturbation