fitted_leverage: Plot of the linear leverage of a GAMLSS model

In gamlss.ggplots: Plotting Functions for Generalized Additive Model for Location Scale and Shape

Plot of the linear leverage of a GAMLSS model

Description

This is plot of the "linear" leverage of a GAMLSS fitted model. By linear we mean the leverage (hat-values) we would have obtain in all the explanatory variables for all distribution parameters where put together and used to fit a linear model to the response. The "linear" leverage is them the hat-values obtained by fitting this simple linear model. Hopefully the "linear" leverage can indicate observations with extreme values in the x's. Note that observations with hight linear leverage may not be influential in the GAMLSS fitting especially if the x-variables are fitted using smoothers.

Usage

fitted_leverage(obj, plot = TRUE, title, quan.val = 0.99, 
          annotate = TRUE, line.col = "steelblue4", 
          point.col = "steelblue4", annot.col = "darkred")

Arguments

obj	A GAMLSS fitted model
plot	whether to plot ot not
title	for different title than the default
quan.val	which quantile value of the leverage should be taked to indicate the observation values
annotate	whether to annotate the extreme levarages
line.col	the colour of the lines
point.col	the colout of the points
annot.col	the colour used for annotation

Value

Returns a plot of the linear leverage against index.

Author(s)

Mikis Stasinopoulos, Bob Rigby and Fernanda De Bastiani

References

Rigby, R. A. and Stasinopoulos D. M. (2005). Generalized additive models for location, scale and shape,(with discussion), Appl. Statist., 54, part 3, pp 507-554.

Rigby, R. A., Stasinopoulos, D. M., Heller, G. Z., and De Bastiani, F. (2019) Distributions for modeling location, scale, and shape: Using GAMLSS in R, Chapman and Hall/CRC. An older version can be found in https://www.gamlss.com/.

Stasinopoulos D. M. Rigby R.A. (2007) Generalized additive models for location scale and shape (GAMLSS) in R. Journal of Statistical Software, Vol. 23, Issue 7, Dec 2007, https://www.jstatsoft.org/v23/i07/.

Stasinopoulos D. M., Rigby R.A., Heller G., Voudouris V., and De Bastiani F., (2017) Flexible Regression and Smoothing: Using GAMLSS in R, Chapman and Hall/CRC.

Stasinopoulos, M.D., Kneib, T., Klein, N., Mayr, A. and Heller, G.Z., (2024). Generalized Additive Models for Location, Scale and Shape: A Distributional Regression Approach, with Applications (Vol. 56). Cambridge University Press.

(see also https://www.gamlss.com/).

See Also

gamlss

Examples

m1 <- gamlss(R~pb(Fl)+pb(A)+loc+H, data=rent, family=GA)
fitted_leverage(m1)

gamlss.ggplots documentation built on May 29, 2024, 1:34 a.m.