inv.res.plot {alr3}R Documentation

Inverse response plots to transform the response

Description

For a lm object, draws an inverse.response plot with the response Y on the vertical axis and the fitted values Yhat on the horizontal axis. Uses nls to estimate lambda in the function Yhat = b0 + b1(Y)^(lambda). Adds the fitted curve to the plot. inv.res.plot is an alias for inverse.response.plot.

Usage

inverse.response.plot(m, lambda=c(0,1),maxiter=100,xlab=NULL,...)



Arguments

m 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.
maxiter Passed to nls, the maximum number of iterations to be used to compute the optimal value of lambda
... Other arguments passed to inv.tran.plot 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 Yhat on Y^(lambda), interpreting lambda = 0 to be natural logarithms.

Numeric output is a list with elements
lambda Estimate of transformation parameter for the response
se Standard error of the estimate
RSS The residual sum of squares at the minimum

Author(s)

Sanford Weisberg, sandy@stat.umn.edu

References

S. Weisberg (2005), Applied Linear Regression, third edition, Wiley, Chapter 7

See Also

inv.tran.plot and inv.tran.estimate, for which this is just a convenient front-end, and nls.

Examples

data(highway)
highway$Sigs1 <- (round(highway$Sigs*highway$Len)+1)/highway$Len
attach(highway)
d <- data.frame(Rate=Rate,logLen=logb(Len,2),
                logADT=logb(ADT,2),logTrks=logb(Trks,2),
                Slim=Slim,Shld=Shld,logSigs1=logb(Sigs1,2))
attach(d)
m2 <- lm(Rate~logLen+logADT+logTrks+Slim+Shld+logSigs1,d)
inv.res.plot(m2,key=c(6,2))

[Package alr3 version 1.1.12 Index]