# This library is free software; you can redistribute it and/or # modify it under the terms of the GNU Library General Public # License as published by the Free Software Foundation; either # version 2 of the License, or (at your option) any later version. # # This library is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR Description. See the # GNU Library General Public License for more details. # # You should have received a copy of the GNU Library General # Public License along with this library; if not, write to the # Free Foundation, Inc., 59 Temple Place, Suite 330, Boston, # MA 02111-1307 USA # Copyrights (C) # for this R-port: # 1999 - 2007, Diethelm Wuertz, GPL # Diethelm Wuertz # info@rmetrics.org # www.rmetrics.org # for the code accessed (or partly included) from other R-ports: # see R's copyright and license files # for the code accessed (or partly included) from contributed R-ports # and other sources # see Rmetrics's copyright file # fEcofin::4E-MacKinnonPValues.R ################################################################################ # FUNCTION: MAC KINNON'S PROBABILIY AND QUANTILES: # punitroot Returns probability for unit root distributions # qunitroot Returns quantiles for unit root distributions # unitrootTable Returns MacKinnon's finite sample test table # FUNCTION: INTERNAL UTILITY FUNCTIONS: # .strsplitUrcval Implements string split for S-Plus compatibility # .urcval Implements unit root statists # .probsUrcval Implements probability values # FUNCTION: INTERNAL DATA SETS: # .urc1 ... .urc12 Statistical values for unitroot data ################################################################################ ################################################################################ # punitroot Returns probability for unit root distributions # qunitroot Returns quantiles for unit root distributions # unitrootTable Returns MacKinnon's finite sample test table punitroot = function(q, N = Inf, trend = c("c", "nc", "ct", "ctt"), statistic = c("t", "n"), na.rm = FALSE) { # A function implemented by Diethelm Wuertz # Description: # Returns the cumulative probability for unit root distributions # Arguments: # q - vector of quantiles # n.sample - a numerical values giving the number of observations # from which the test statistics are computed. The default # value is 0 which means that asymptotic cumulative probabilities # will be returned. # trend - a character string describing the regression type underlying # the computation of the statistics. Selections are # "nc" for a constant regression no intercept nor time trend, # "c" for a regression with an intercept but no trend component, # "ct" for a regression including intercept and trend. # The default value is "c". # statistic - a character string denoting the type of the test # statistic. The default choice is "t" for t-statistic, and # and the alternative choice is "n" for normalized statistic # also named as rho-statistic. # na.rm - a logical value. If set to TRUE, missing values will # be removed, the default is FALSE. # Value: # A vector of probabilities for the unit root distribution. # FUNCTION: # Settings: trend = match.arg(trend) statistic = match.arg(statistic) n.sample = N if (N == Inf) n.sample = 0 # Remove any NA's in q: if(any(is.na(q))) { if(!na.rm) stop("NAs are not allowed when na.rm=FALSE") else q = na.omit(q) } # Settings - Will be Checked in Routine urcval: if (statistic == "t") itt = 1 if (statistic == "n") itt = 2 if (trend == "nc") itv = 1 if (trend == "c") itv = 2 if (trend == "ct") itv = 3 if (trend == "ctt") itv = 4 # Calculate - Call "urcval": result = 0 * q for (i in 1:length(q)) { result[i] = .urcval(arg = q[i], nobs = n.sample, niv = 1, itt = itt, itv = itv, nc = 2) } # Return Value: result } # ------------------------------------------------------------------------------ qunitroot = function(p, N = Inf, trend = c("c", "nc", "ct", "ctt"), statistic = c("t", "n"), na.rm = FALSE) { # A function implemented by Diethelm Wuertz # Description: # Returns the quantile for unit root distributions # Arguments: # q - vector of quantiles # n.sample - a numerical values giving the number of observations # from which the test statistics are computed. The default # value is 0 which means that asymptotic cumulative probabilities # will be returned. # trend - a character string describing the regression type underlying # the computation of the statistics. Selections are # "nc" for a constant regression no intercept nor time trend, # "c" for a regression with an intercept but no trend component, # "ct" for a regression including intercept and trend. # The default value is "c". # statistic - a character string denoting the type of the test # statistic. The default choice is "t" for t-statistic, and # and the alternative choice is "n" for normalized statistic # also named as rho-statistic. # na.rm - a logical value. If set to TRUE, missing values will # be removed, the default is FALSE. # Value: # A vector of quantiles for the unit root distribution. # FUNCTION: # Settings: trend = trend[1] statistic = statistic[1] n.sample = N if (N == Inf) n.sample = 0 # Remove any NA's in p: if (any(is.na(p))) { if(!na.rm) stop("NAs are not allowed when na.rm = FALSE") else p = na.omit(p) } # Settings - Will be Checked in Routine urcval: if (statistic == "t") itt = 1 if (statistic == "n") itt = 2 if (trend == "nc") itv = 1 if (trend == "c") itv = 2 if (trend == "ct") itv = 3 if (trend == "ctt") itv = 4 # Calculate: result = 0*p for (i in 1:length(p)) { result[i] = .urcval(arg = p[i], nobs = n.sample, niv = 1, itt = itt, itv = itv, nc = 1) } # Return Value: result } # ------------------------------------------------------------------------------ unitrootTable = function(trend = c("c", "nc", "ct", "ctt"), statistic = c("t", "n")) { # A function implemented by Diethelm Wuertz # Description: # Returns McKinnon's unitroot finite sample test table # FUNCTION: # Match Arguments: trend = match.arg(trend) statistic = match.arg(statistic) # Set P Values and Sample Size: p = c("0.010", "0.025", "0.050", "0.100", "0.900", "0.950", "0.975", "0.990") N = c(" 25", " 50", "100", "250", "500", "Inf") # Create table: table = NULL for (n in N[-length(N)]) { size = as.integer(n) table = rbind(table, qunitroot(as.numeric(p), size, trend, statistic)) } table = rbind(table, qunitroot(as.numeric(p), Inf, trend, statistic)) # Round and Add dimnames: table = round(table, digits = 3) rownames(table) = N colnames(table) = p # Add Control: attr(table, "control") <- c(table = "unitroot", trend = trend, statistic = statistic) # Return Value: table } ################################################################################ # .strsplitUrcval Implements string split for S-Plus compatibility # .urcval Implements unit root statists # .probsUrcval Implements probability values .strsplitUrcval = function(x, sep = " ") { # A function implemented by Diethelm Wuertz # Description: # Implements strsplit() function for SPlus compatibility # FUNCTION: # Split: # if (exists("strsplit")) { # R: ans = strsplit(x = x , split = sep) # } else { # # Splus: # ans = lapply(lapply(X = x, FUN = unpaste, sep = sep), unlist) # } # Return Value: ans } # ------------------------------------------------------------------------------ .urcval = function (arg, nobs = 0, niv = 1, itt = 1, itv = 1, nc = 1) { # A function implemented by Diethelm Wuertz # Description: # Implements the unit root statists distribution # Arguments: # arg - level of test (between .0001 and .9999) if nc = 1, # else test statistic if nc = 2 # nobs - sample size (0 for asymptotic) # niv - number of integrated variables # itt - 1 or 2 for tau or z test # itv - 1, 2, 3, 4 for nc, c, ct, ctt # nc - 1 or 2 for critical value or P value # Value: # val - critical value if nc = 1 (returned by routine), # else P value if nc = 2 (returned by routine) # FUNCTION: # Read Probs Table: # probs = read.table("library/fSeries/libs/.urcProbs.tab") probs = .probsUrcval cnorm = probs[, 2] probs = probs[, 1] # Read from appropriate urc Table: # fnames = 'urc-1.tab' .... 'urc-12.tab' (niv) # Skip copyright line and groups of 222 lines as necessary skip = 886*(itt-1) + 2*itt + (itv-1)*222 # Filename: # root = paste(.tableDir(), "/.urc", sep = "") # fname = paste(root, as.character(niv), ".tab", sep = "") # Get Data: TABLE = get(paste(".urc", as.character(niv), sep = "")) # Read Parameters: # parms = scan(fname, what = "", skip = skip - 1, nlines = 1, quiet = TRUE) parms = .strsplitUrcval(TABLE[skip], sep = " ")[[1]] parms = parms[parms != ""] nz = as.numeric(parms[2]) nreg = as.numeric(parms[3]) model = as.numeric(parms[4]) minsize = as.numeric(parms[5]) # Read Data Group: nvar = 4 if (model == 2 || model == 4) nvar = 3 nlines = 221 # scan(fname, skip = skip, nlines = 221, quiet = TRUE) # beta = matrix(SCAN, byrow = TRUE, ncol = nvar+1) beta = matrix(TABLE[(skip+1):(skip+nlines)], ncol = 1) beta = unlist(apply(beta, 2, .strsplitUrcval)) beta = beta[beta != ""] beta = matrix(as.numeric(beta), byrow = TRUE, nrow = nlines) wght = t(beta[, nvar+1]) beta = t(beta[, 1:4]) # Check for Number of Observations: if (nobs != 0 && nobs < minsize) print("Warning: Specified sample size may be too small") # Urcvals: ans = NULL for (i in 1:length(arg)) { # Set size and stat and check for level size = stat = arg[i] # if (nc == 1) # stop("Level must be between .0001 and .9999") # Calculate: np = 9 cval = pval = 0.0 precrt = 2.0 # Call J. G. McKinnon's Fortran Subroutines: if (nc == 1) { if (min(size) < 0.0001 || max(size) > 0.9999) { ans = c(ans, NA) } else { result = .Fortran("fcrit", as.double(probs), as.double(cnorm), as.double(beta), as.double(wght), as.double(cval), as.double(size), as.double(precrt), as.integer(nobs), as.integer(model), as.integer(nreg), as.integer(np), as.integer(0), PACKAGE = "fUnitRoots") ans = c(ans, result[[5]]) } } if (nc == 2) { result = .Fortran("fpval", as.double(beta), as.double(cnorm), as.double(wght), as.double(probs), as.double(pval), as.double(stat), as.double(precrt), as.integer(nobs), as.integer(model), as.integer(nreg), as.integer(np), as.integer(0), PACKAGE = "fUnitRoots") ans = c(ans, result[[5]]) } } # Return Value: ans } # ------------------------------------------------------------------------------ .probsUrcval = structure(list( V1 = c(1.0e-04, 2.0e-04, 5.0e-04, 0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, 0.01, 0.015, 0.02, 0.025, 0.03, 0.035, 0.04, 0.045, 0.05, 0.055, 0.06, 0.065, 0.07, 0.075, 0.08, 0.085, 0.09, 0.095, 0.1, 0.105, 0.11, 0.115, 0.12, 0.125, 0.13, 0.135, 0.14, 0.145, 0.15, 0.155, 0.16, 0.165, 0.17, 0.175, 0.18, 0.185, 0.19, 0.195, 0.2, 0.205, 0.21, 0.215, 0.22, 0.225, 0.23, 0.235, 0.24, 0.245, 0.25, 0.255, 0.26, 0.265, 0.27, 0.275, 0.28, 0.285, 0.29, 0.295, 0.3, 0.305, 0.31, 0.315, 0.32, 0.325, 0.33, 0.335, 0.34, 0.345, 0.35, 0.355, 0.36, 0.365, 0.37, 0.375, 0.38, 0.385, 0.39, 0.395, 0.4, 0.405, 0.41, 0.415, 0.42, 0.425, 0.43, 0.435, 0.44, 0.445, 0.45, 0.455, 0.46, 0.465, 0.47, 0.475, 0.48, 0.485, 0.49, 0.495, 0.5, 0.505, 0.51, 0.515, 0.52, 0.525, 0.53, 0.535, 0.54, 0.545, 0.55, 0.555, 0.56, 0.565, 0.57, 0.575, 0.58, 0.585, 0.59, 0.595, 0.6, 0.605, 0.61, 0.615, 0.62, 0.625, 0.63, 0.635, 0.64, 0.645, 0.65, 0.655, 0.66, 0.665, 0.67, 0.675, 0.68, 0.685, 0.69, 0.695, 0.7, 0.705, 0.71, 0.715, 0.72, 0.725, 0.73, 0.735, 0.74, 0.745, 0.75, 0.755, 0.76, 0.765, 0.77, 0.775, 0.78, 0.785, 0.79, 0.795, 0.8, 0.805, 0.81, 0.815, 0.82, 0.825, 0.83, 0.835, 0.84, 0.845, 0.85, 0.855, 0.86, 0.865, 0.87, 0.875, 0.88, 0.885, 0.89, 0.895, 0.9, 0.905, 0.91, 0.915, 0.92, 0.925, 0.93, 0.935, 0.94, 0.945, 0.95, 0.955, 0.96, 0.965, 0.97, 0.975, 0.98, 0.985, 0.99, 0.991, 0.992, 0.993, 0.994, 0.995, 0.996, 0.997, 0.998, 0.999, 0.9995, 0.9998, 0.9999), V2 = c(-3.71901649, -3.5400838, -3.29052673, -3.09023231, -2.87816174, -2.74778139, -2.65206981, -2.5758293, -2.51214433, -2.45726339, -2.40891555, -2.36561813, -2.32634787, -2.17009038, -2.05374891, -1.95996398, -1.88079361, -1.81191067, -1.75068607, -1.69539771, -1.64485363, -1.59819314, -1.55477359, -1.51410189, -1.47579103, -1.43953147, -1.40507156, -1.37220381, -1.34075503, -1.31057911, -1.28155157, -1.25356544, -1.22652812, -1.20035886, -1.17498679, -1.15034938, -1.12639113, -1.10306256, -1.08031934, -1.05812162, -1.03643339, -1.01522203, -0.99445788, -0.97411388, -0.95416525, -0.93458929, -0.91536509, -0.89647336, -0.8778963, -0.85961736, -0.84162123, -0.82389363, -0.80642125, -0.78919165, -0.77219321, -0.75541503, -0.73884685, -0.72247905, -0.70630256, -0.69030882, -0.67448975, -0.65883769, -0.64334541, -0.62800601, -0.61281299, -0.59776013, -0.58284151, -0.5680515, -0.55338472, -0.53883603, -0.52440051, -0.51007346, -0.49585035, -0.48172685, -0.4676988, -0.45376219, -0.43991317, -0.42614801, -0.41246313, -0.39885507, -0.38532047, -0.37185609, -0.35845879, -0.34512553, -0.33185335, -0.31863936, -0.30548079, -0.2923749, -0.27931903, -0.26631061, -0.2533471, -0.24042603, -0.22754498, -0.21470157, -0.20189348, -0.18911843, -0.17637416, -0.16365849, -0.15096922, -0.13830421, -0.12566135, -0.11303854, -0.10043372, -0.08784484, -0.07526986, -0.06270678, -0.05015358, -0.03760829, -0.02506891, -0.01253347, 0, 0.01253347, 0.02506891, 0.03760829, 0.05015358, 0.06270678, 0.07526986, 0.08784484, 0.10043372, 0.11303854, 0.12566135, 0.13830421, 0.15096922, 0.16365849, 0.17637416, 0.18911843, 0.20189348, 0.21470157, 0.22754498, 0.24042603, 0.2533471, 0.26631061, 0.27931903, 0.2923749, 0.30548079, 0.31863936, 0.33185335, 0.34512553, 0.35845879, 0.37185609, 0.38532047, 0.39885507, 0.41246313, 0.42614801, 0.43991317, 0.45376219, 0.4676988, 0.48172685, 0.49585035, 0.51007346, 0.52440051, 0.53883603, 0.55338472, 0.5680515, 0.58284151, 0.59776013, 0.61281299, 0.62800601, 0.64334541, 0.65883769, 0.67448975, 0.69030882, 0.70630256, 0.72247905, 0.73884685, 0.75541503, 0.77219321, 0.78919165, 0.80642125, 0.82389363, 0.84162123, 0.85961736, 0.8778963, 0.89647336, 0.91536509, 0.93458929, 0.95416525, 0.97411388, 0.99445788, 1.01522203, 1.03643339, 1.05812162, 1.08031934, 1.10306256, 1.12639113, 1.15034938, 1.17498679, 1.20035886, 1.22652812, 1.25356544, 1.28155157, 1.31057911, 1.34075503, 1.37220381, 1.40507156, 1.43953147, 1.47579103, 1.51410189, 1.55477359, 1.59819314, 1.64485363, 1.69539771, 1.75068607, 1.81191067, 1.88079361, 1.95996398, 2.05374891, 2.17009038, 2.32634787, 2.36561813, 2.40891555, 2.45726339, 2.51214433, 2.5758293, 2.65206981, 2.74778139, 2.87816174, 3.09023231, 3.29052673, 3.5400838, 3.71901649)), .Names = c("V1", "V2"), class = "data.frame", row.names = c( "1", "2", "3", "4", "5", "6", "7", "8", "9", "10", "11", "12", "13", "14", "15", "16", "17", "18", "19", "20", "21", "22", "23", "24", "25", "26", "27", "28", "29", "30", "31", "32", "33", "34", "35", "36", "37", "38", "39", "40", "41", "42", "43", "44", "45", "46", "47", "48", "49", "50", "51", "52", "53", "54", "55", "56", "57", "58", "59", "60", "61", "62", "63", "64", "65", "66", "67", "68", "69", "70", "71", "72", "73", "74", "75", "76", "77", "78", "79", "80", "81", "82", "83", "84", "85", "86", "87", "88", "89", "90", "91", "92", "93", "94", "95", "96", "97", "98", "99", "100", "101", "102", "103", "104", "105", "106", "107", "108", "109", "110", "111", "112", "113", "114", "115", "116", "117", "118", "119", "120", "121", "122", "123", "124", "125", "126", "127", "128", "129", "130", "131", "132", "133", "134", "135", "136", "137", "138", "139", "140", "141", "142", "143", "144", "145", "146", "147", "148", "149", "150", "151", "152", "153", "154", "155", "156", "157", "158", "159", "160", "161", "162", "163", "164", "165", "166", "167", "168", "169", "170", "171", "172", "173", "174", "175", "176", "177", "178", "179", "180", "181", "182", "183", "184", "185", "186", "187", "188", "189", "190", "191", "192", "193", "194", "195", "196", "197", "198", "199", "200", "201", "202", "203", "204", "205", "206", "207", "208", "209", "210", "211", "212", "213", "214", "215", "216", "217", "218", "219", "220", "221") ) ################################################################################ # FUNCTION: INTERNAL DATA SETS: # .urc1 ... .urc12 Statistical values for unitroot data .urc1 = c("Copyright (C) James G. MacKinnon, 1995", "dfnc 0 1 2 20", " -.38929681e+01 -.10711437e+02 -.55619955e+02 .33188192e-02", " -.37185872e+01 -.95896921e+01 -.34166532e+02 .24951489e-02", " -.34759164e+01 -.78746051e+01 -.17490657e+02 .15559156e-02", " -.32842708e+01 -.64108912e+01 -.11983755e+02 .11445964e-02", " -.30830457e+01 -.50567633e+01 -.68847143e+01 .84100765e-03", " -.29598602e+01 -.42584716e+01 -.58142463e+01 .71049934e-03", " -.28698825e+01 -.37289550e+01 -.58714971e+01 .62391151e-03", " -.27977077e+01 -.34146427e+01 -.37615300e+01 .58693244e-03", " -.27380050e+01 -.31208498e+01 -.30462883e+01 .52576407e-03", " -.26868436e+01 -.28722476e+01 -.25438563e+01 .49052976e-03", " -.26416852e+01 -.26793402e+01 -.18769783e+01 .46804316e-03", " -.26012597e+01 -.25000004e+01 -.16307933e+01 .44346134e-03", " -.25649446e+01 -.23127399e+01 -.20306605e+01 .43039003e-03", " -.24206178e+01 -.17291886e+01 -.13466493e+01 .36467475e-03", " -.23133304e+01 -.13423615e+01 -.13432257e+01 .32107164e-03", " -.22273143e+01 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