# invResPlot

0th

Percentile

##### Inverse Response Plots to Transform the Response

For a lm model, draws an inverse.response plot with the response $Y$ on the vertical axis and the fitted values $\hat{Y}$ on the horizontal axis. Uses nls to estimate $\lambda$ in the function $\hat{Y}=b_0+b_1Y^{\lambda}$. Adds the fitted curve to the plot. invResPlot is an alias for inverseResponsePlot.

Keywords
hplot, regression
##### Usage
inverseResponsePlot(model, lambda=c(-1,0,1), robust=FALSE, xlab=NULL, ...)

## S3 method for class 'lm':
inverseResponsePlot(model, lambda=c(-1,0,1), robust=FALSE,
xlab=NULL, labels=names(residuals(model)), ...)

invResPlot(model, ...)
##### Arguments
model
A lm regression object
lambda
A vector of values for lambda. A plot will be produced with curves corresponding to these lambdas and to the least squares estimate of lambda
xlab
The horizontal axis label. If NULL, it is constructed by the function.
labels
Case labels if labeling is turned on; see invTranPlot and showLabels for arguments.
robust
If TRUE, then estimation uses Huber M-estimates with the median absolute deviation to estimate scale and k= 1.345. The default is FALSE.
...
Other arguments passed to invTranPlot and then to plot.
##### Value

• As a side effect, a plot is produced with the response on the horizontal axis and fitted values on the vertical axis. Several lines are added to be plot as the ols estimates of the regression of $\hat{Y}$ on $Y^{\lambda}$, interpreting $\lambda$ = 0 to be natural logarithms. Numeric output is a list with elements
• lambdaEstimate of transformation parameter for the response
• RSSThe residual sum of squares at the minimum if robust=FALSE. If robust = TRUE, the value of Huber objective function is returned.

##### References

Fox, J. and Weisberg, S. (2011) An R Companion to Applied Regression, Second Edition, Sage. Pendergast, L, and Sheather, S. (in press). On sensitivity of response plot estimation of a robust estimation approach. Scandinavian Journal of Statistics. Weisberg, S. (2014) Applied Linear Regression, Fourth Edition, Wiley, Chapter 7.

invTranPlot, powerTransform, showLabels

##### Aliases
• invResPlot
• inverseResponsePlot
• inverseResponsePlot.lm
##### Examples
m2 <- lm(rate ~ log(len) + log(ADT) + slim + shld + log(sigs1), Highway1)
invResPlot(m2)
Documentation reproduced from package car, version 2.0-20, License: GPL (>= 2)

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