| Investment {sandwich} | R Documentation |
US data for fitting an investment equation.
data(Investment)
An annual time series from 1963 to 1982 with 7 variables.
nominal gross national product (in billion USD),
nominal gross private domestic investment (in billion USD),
price index, implicit price deflator for GNP,
interest rate, average yearly discount rate charged by the New York Federal Reserve Bank,
real GNP (= GNP/Price),
real investment (= Investment/Price),
approximation to the real interest rate (= Interest - 100 * diff(Price)/Price).
Table 15.1 in Greene (1993)
Greene W.H. (1993), Econometric Analysis, 2nd edition. Macmillan Publishing Company, New York.
Executive Office of the President (1984), Economic Report of the President. US Government Printing Office, Washington, DC.
## Willam H. Greene, Econometric Analysis, 2nd Ed.
## Chapter 15
## load data set, p. 411, Table 15.1
data(Investment)
## fit linear model, p. 412, Table 15.2
fm <- lm(RealInv ~ RealGNP + RealInt, data = Investment)
summary(fm)
## visualize residuals, p. 412, Figure 15.1
plot(ts(residuals(fm), start = 1964),
type = "b", pch = 19, ylim = c(-35, 35), ylab = "Residuals")
sigma <- sqrt(sum(residuals(fm)^2)/fm$df.residual) ## maybe used df = 26 instead of 16 ??
abline(h = c(-2, 0, 2) * sigma, lty = 2)
if(require(lmtest)) {
## Newey-West covariances, Example 15.3
coeftest(fm, vcov = NeweyWest(fm, lag = 4))
## Note, that the following is equivalent:
coeftest(fm, vcov = kernHAC(fm, kernel = "Bartlett", bw = 5, prewhite = FALSE, adjust = FALSE))
## Durbin-Watson test, p. 424, Example 15.4
dwtest(fm)
## Breusch-Godfrey test, p. 427, Example 15.6
bgtest(fm, order = 4)
}
## visualize fitted series
plot(Investment[, "RealInv"], type = "b", pch = 19, ylab = "Real investment")
lines(ts(fitted(fm), start = 1964), col = 4)
## 3-d visualization of fitted model
if(require(scatterplot3d)) {
s3d <- scatterplot3d(Investment[,c(5,7,6)],
type = "b", angle = 65, scale.y = 1, pch = 16)
s3d$plane3d(fm, lty.box = "solid", col = 4)
}