Local Influence Diagnostics
local_influence(model, ...) local_influence_plot(model, ...)
| model | an object for which the local influence is desired |
|---|---|
| ... | further arguments passed to or from other methods. |
The local_influence method returns a list containing the resulting perturbation schemes as elements. The local_influence_plot is called for its side effects.
local_influence is a generic function to return local influence diagnostics under different perturbation schemes and different directions.
local_influence_plot is a generic function to provide friendly plots of such diagnostics.
Local influence diagnostics were first introduced by Cook (1986), where several perturbation schemes were introduced and normal curvatures were obtained. Poon and Poon (1999) introduced the conformal normal curvature, which has nice properties and takes values on the unit interval \([0,1]\). Zhu and Lee (2001) following Cook (1986) and Poon and Poon (1999) introduced normal and conformal normal curvatures for EM-based models.
Cook, R. D. (1986) Assessment of Local Influence. Journal of the Royal Statistical Society. Series B (Methodological), Vol. 48, pp.133-169. https://rss.onlinelibrary.wiley.com/doi/10.1111/j.2517-6161.1986.tb01398.x
Poon, W.-Y. and Poon, Y.S. (1999) Conformal normal curvature and assessment of local influence. Journal of the Royal Statistical Society. Series B (Methodological), Vol. 61, pp.51-61. https://rss.onlinelibrary.wiley.com/doi/abs/10.1111/1467-9868.00162
Zhu, H.-T. and Lee, S.-Y. (2001) Local influence for incomplete data models. Journal of the Royal Statistical Society. Series B (Methodological), Vol. 63, pp.111-126. https://rss.onlinelibrary.wiley.com/doi/abs/10.1111/1467-9868.00279