Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 99-106 |
| Number of pages | 8 |
| Journal | Biometrika |
| Volume | 80 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1993 |
Bibliographical note
Funding Information:This work was supported in part by grants from the National Institutes of Health and the National Science Foundation.
Keywords
- Diagnostics
- Influential observation
- Jacobian leverage
- Mean-shift perturbation