Rearranges and improves the legibility of the output from the stepwise function in S-Plus.
Rearranges and improves the legibility of the output from
the
stepwise
function in S-Plus.
The output can be used for the Cp plot.
cp.calc
works only in S-Plus.
Use
regsubsets
in R. The example below works in
both languages.
cp.calc(sw, data, y.name) ## S3 method for class 'cp.object' print(x, ...) ## S3 method for class 'cp.object' x[..., drop = TRUE]
sw |
Output from the S-Plus
|
data |
Dataset name from which |
y.name |
Name of response variable for which |
x |
Object of class |
... |
Additional arguments to |
drop |
Argument to the |
"cp.object"
, which is a data.frame containing information
about each model that was attempted with additional
attributes:
tss
total sum of squares,
n
number of observations,
y.name
response variable,
full.i
row name of full model. The columns are
p |
number of parameters in the model |
cp |
Cp statistic |
aic |
AIC statistic |
rss |
Residual sum of squares |
r2 |
R^2 |
r2.adj |
Adjusted R^2 |
xvars |
X variables |
sw.names |
Model name produced by |
Richard M. Heiberger <rmh@temple.edu>
Heiberger, Richard M. and Holland, Burt (2015). Statistical Analysis and Data Display: An Intermediate Course with Examples in R. Second Edition. Springer-Verlag, New York. https://www.springer.com/us/book/9781493921218
## This example is from Section 9.15 of Heiberger and Holland (2004). data(usair) if.R(s={usair <- usair}, r={}) splom(~usair, main="U.S. Air Pollution Data with SO2 response", cex=.5) ## export.eps(hh("regb/figure/regb.f1.usair.eps")) usair$lnSO2 <- log(usair$SO2) usair$lnmfg <- log(usair$mfgfirms) usair$lnpopn <- log(usair$popn) usair[1:3,] ## lnSO2 is in position 8, SO2 is in position 1 ## lnmfg is in position 9, lnpopn is in position 10 splom(~usair[, c(8,2,9,10,5:7)], main="U.S. Air Pollution Data with 3 log-transformed variables", cex=.5) ## export.eps(hh("regb/figure/regb.f2.usair.eps")) if.R(s={ usair.step <- stepwise(y=usair$lnSO2, x=usair[, c(2,9,10,5:7)], method="exhaustive", plot=FALSE, nbest=2) ## print for pedagogical purposes only. The plot of cp ~ p is more useful. ## The line with rss=1e35 is a stepwise() bug, that we reported to S-Plus. print(usair.step, digits=4) usair.cp <- cp.calc(usair.step, usair, "lnSO2") ## print for pedagogical purposes only. The plot of cp ~ p is more useful. usair.cp tmp <- (usair.cp$cp <= 10) usair.cp[tmp,] old.par <- par(mar=par()$mar+c(0,1,0,0)) tmp <- (usair.cp$cp <= 10) plot(cp ~ p, data=usair.cp[tmp,], ylim=c(0,10), type="n", cex=1.3) abline(b=1) text(x=usair.cp$p[tmp], y=usair.cp$cp[tmp], row.names(usair.cp)[tmp], cex=1.3) title(main="Cp plot for usair.dat, Cp<10") par(old.par) ## export.eps(hh("regb/figure/regb.f3.usair.eps")) },r={ usair.regsubset <- leaps::regsubsets(lnSO2~lnmfg+lnpopn+precip+raindays+temp+wind, data=usair, nbest=2) usair.subsets.Summary <- summaryHH(usair.regsubset) tmp <- (usair.subsets.Summary$cp <= 10) usair.subsets.Summary[tmp,] plot(usair.subsets.Summary[tmp,], statistic='cp', legend=FALSE) usair.lm7 <- lm.regsubsets(usair.regsubset, 7) anova(usair.lm7) summary(usair.lm7) }) vif(lnSO2 ~ temp + lnmfg + lnpopn + wind + precip + raindays, data=usair) vif(lnSO2 ~ temp + lnmfg + wind + precip, data=usair) usair.lm <- lm(lnSO2 ~ temp + lnmfg + wind + precip, data=usair) anova(usair.lm) summary(usair.lm, corr=FALSE)
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