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 (US) |
|---|---|
| Pages (from-to) | 99-106 |
| Number of pages | 8 |
| Journal | Biometrika |
| Volume | 80 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1993 |
Keywords
- Diagnostics
- Influential observation
- Jacobian leverage
- Mean-shift perturbation
ASJC Scopus subject areas
- Statistics and Probability
- General Mathematics
- Agricultural and Biological Sciences (miscellaneous)
- General Agricultural and Biological Sciences
- Statistics, Probability and Uncertainty
- Applied Mathematics