#'
#' Calculates ADF Stationarity Test
#'
#' Calculates ADF Test Info based from the urca package
#'
#'@param y Data series
#'@param type The type of test. Whether it includes a drift or trend component.
#'@param lags Number of lags to test
#'@param selectlags Whether a model criterion should be used to determine a lag length.
#'
#'@author Nicholas Dregne and Helena Ristov
#'
#'@export
adf.test <- function (y, type = c("none", "drift", "trend"), lags = 1, selectlags = c("Fixed", "AIC", "BIC"))
{
if (ncol(as.matrix(y)) > 1) stop("\ny is not a vector or univariate time series.\n")
if (any(is.na(y))) stop("\nNAs in y.\n")
y <- as.vector(y)
lag <- as.integer(lags)
if (lag < 0) stop("\nLags must be set to an non negative integer value.\n")
DNAME <- deparse(substitute(y))
x.name <- deparse(substitute(y))
lags <- lags + 1
z <- diff(y)
n <- length(z)
x <- embed(z, lags)
z.diff <- x[, 1]
z.lag.1 <- y[lags:n]
tt <- lags:n
if (lags > 1) {
if (selectlags != "Fixed") {
critRes <- rep(NA, lags)
for (i in 2:(lags)) {
z.diff.lag = x[, 2:i]
if (type == "none")
result <- lm(z.diff ~ z.lag.1 - 1 + z.diff.lag)
if (type == "drift")
result <- lm(z.diff ~ z.lag.1 + 1 + z.diff.lag)
if (type == "trend")
result <- lm(z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
critRes[i] <- AIC(result, k = switch(selectlags, AIC = 2, BIC = log(length(z.diff))))
}
lags <- which.min(critRes)
}
z.diff.lag = x[, 2:lags]
if (type == "none") {
result <- lm(z.diff ~ z.lag.1 - 1 + z.diff.lag)
tau <- coef(summary(result))[1, 3]
teststat <- as.matrix(tau)
colnames(teststat) <- "tau1"
}
if (type == "drift") {
result <- lm(z.diff ~ z.lag.1 + 1 + z.diff.lag)
tau <- coef(summary(result))[2, 3]
phi1.reg <- lm(z.diff ~ -1 + z.diff.lag)
phi1 <- anova(phi1.reg, result)$F[2]
teststat <- as.matrix(t(c(tau, phi1)))
colnames(teststat) <- c("tau2", "phi1")
}
if (type == "trend") {
result <- lm(z.diff ~ z.lag.1 + 1 + tt + z.diff.lag)
tau <- coef(summary(result))[2, 3]
phi2.reg <- lm(z.diff ~ -1 + z.diff.lag)
phi3.reg <- lm(z.diff ~ z.diff.lag)
phi2 <- anova(phi2.reg, result)$F[2]
phi3 <- anova(phi3.reg, result)$F[2]
teststat <- as.matrix(t(c(tau, phi2, phi3)))
colnames(teststat) <- c("tau3", "phi2", "phi3")
}
} else {
if (type == "none") {
result <- lm(z.diff ~ z.lag.1 - 1)
tau <- coef(summary(result))[1, 3]
teststat <- as.matrix(tau)
colnames(teststat) <- "tau1"
}
if (type == "drift") {
result <- lm(z.diff ~ z.lag.1 + 1)
phi1.reg <- lm(z.diff ~ -1)
phi1 <- anova(phi1.reg, result)$F[2]
tau <- coef(summary(result))[2, 3]
teststat <- as.matrix(t(c(tau, phi1)))
colnames(teststat) <- c("tau2", "phi1")
}
if (type == "trend") {
result <- lm(z.diff ~ z.lag.1 + 1 + tt)
phi2.reg <- lm(z.diff ~ -1)
phi3.reg <- lm(z.diff ~ 1)
phi2 <- anova(phi2.reg, result)$F[2]
phi3 <- anova(phi3.reg, result)$F[2]
tau <- coef(summary(result))[2, 3]
teststat <- as.matrix(t(c(tau, phi2, phi3)))
colnames(teststat) <- c("tau3", "phi2", "phi3")
}
}
rownames(teststat) <- "statistic"
testreg <- summary(result)
res <- residuals(testreg)
if (n < 25) rowselec <- 1
if (25 <= n & n < 50) rowselec <- 2
if (50 <= n & n < 100) rowselec <- 3
if (100 <= n & n < 250) rowselec <- 4
if (250 <= n & n < 500) rowselec <- 5
if (n >= 500) rowselec <- 6
if (type == "none") {
cval.tau1 <- rbind(c(-2.66, -1.95, -1.6), c(-2.62, -1.95, -1.61), c(-2.6, -1.95, -1.61), c(-2.58, -1.95, -1.62), c(-2.58, -1.95, -1.62), c(-2.58, -1.95, -1.62))
cvals <- t(cval.tau1[rowselec, ])
testnames <- "tau1"
}
if (type == "drift") {
cval.tau2 <- rbind(c(-3.75, -3, -2.63), c(-3.58, -2.93, -2.6), c(-3.51, -2.89, -2.58), c(-3.46, -2.88, -2.57), c(-3.44, -2.87, -2.57), c(-3.43, -2.86, -2.57))
cval.phi1 <- rbind(c(7.88, 5.18, 4.12), c(7.06, 4.86, 3.94), c(6.7, 4.71, 3.86), c(6.52, 4.63, 3.81), c(6.47, 4.61, 3.79), c(6.43, 4.59, 3.78))
cvals <- rbind(cval.tau2[rowselec, ], cval.phi1[rowselec, ])
testnames <- c("tau2", "phi1")
}
if (type == "trend") {
cval.tau3 <- rbind(c(-4.38, -3.6, -3.24), c(-4.15, -3.5, -3.18), c(-4.04, -3.45, -3.15), c(-3.99, -3.43, -3.13), c(-3.98, -3.42, -3.13), c(-3.96, -3.41, -3.12))
cval.phi2 <- rbind(c(8.21, 5.68, 4.67), c(7.02, 5.13, 4.31), c(6.5, 4.88, 4.16), c(6.22, 4.75, 4.07), c(6.15, 4.71, 4.05), c(6.09, 4.68, 4.03))
cval.phi3 <- rbind(c(10.61, 7.24, 5.91), c(9.31, 6.73, 5.61), c(8.73, 6.49, 5.47), c(8.43, 6.49, 5.47), c(8.34, 6.3, 5.36), c(8.27, 6.25, 5.34))
cvals <- rbind(cval.tau3[rowselec, ], cval.phi2[rowselec, ], cval.phi3[rowselec, ])
testnames <- c("tau3", "phi2", "phi3")
}
colnames(cvals) <- c("1pct", "5pct", "10pct")
rownames(cvals) <- testnames
Output <- list(cvals = cvals, teststat = teststat, testreg = testreg, res = res)
return(Output)
}
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