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Type 'q()' to quit R. > y <- c(255 + ,280.2 + ,299.9 + ,339.2 + ,374.2 + ,393.5 + ,389.2 + ,381.7 + ,375.2 + ,369 + ,357.4 + ,352.1 + ,346.5 + ,342.9 + ,340.3 + ,328.3 + ,322.9 + ,314.3 + ,308.9 + ,294 + ,285.6 + ,281.2 + ,280.3 + ,278.8 + ,274.5 + ,270.4 + ,263.4 + ,259.9 + ,258 + ,262.7 + ,284.7 + ,311.3 + ,322.1 + ,327 + ,331.3 + ,333.3 + ,321.4 + ,327 + ,320 + ,314.7 + ,316.7 + ,314.4 + ,321.3 + ,318.2 + ,307.2 + ,301.3 + ,287.5 + ,277.7 + ,274.4 + ,258.8 + ,253.3 + ,251 + ,248.4 + ,249.5 + ,246.1 + ,244.5 + ,243.6 + ,244 + ,240.8 + ,249.8 + ,248 + ,259.4 + ,260.5 + ,260.8 + ,261.3 + ,259.5 + ,256.6 + ,257.9 + ,256.5 + ,254.2 + ,253.3 + ,253.8 + ,255.5 + ,257.1 + ,257.3 + ,253.2 + ,252.8 + ,252 + ,250.7 + ,252.2 + ,250 + ,251 + ,253.4 + ,251.2 + ,255.6 + ,261.1 + ,258.9 + ,259.9 + ,261.2 + ,264.7 + ,267.1 + ,266.4 + ,267.7 + ,268.6 + ,267.5 + ,268.5 + ,268.5 + ,270.5 + ,270.9 + ,270.1 + ,269.3 + ,269.8 + ,270.1 + ,264.9 + ,263.7 + ,264.8 + ,263.7 + ,255.9 + ,276.2 + ,360.1 + ,380.5 + ,373.7 + ,369.8 + ,366.6 + ,359.3 + ,345.8 + ,326.2 + ,324.5 + ,328.1 + ,327.5 + ,324.4 + ,316.5 + ,310.9 + ,301.5 + ,291.7 + ,290.4 + ,287.4 + ,277.7 + ,281.6 + ,288 + ,276 + ,272.9 + ,283 + ,283.3 + ,276.8 + ,284.5 + ,282.7 + ,281.2 + ,287.4 + ,283.1 + ,284 + ,285.5 + ,289.2 + ,292.5 + ,296.4 + ,305.2 + ,303.9 + ,311.5 + ,316.3 + ,316.7 + ,322.5 + ,317.1 + ,309.8 + ,303.8 + ,290.3 + ,293.7 + ,291.7 + ,296.5 + ,289.1 + ,288.5 + ,293.8 + ,297.7 + ,305.4 + ,302.7 + ,302.5 + ,303 + ,294.5 + ,294.1 + ,294.5 + ,297.1 + ,289.4 + ,292.4 + ,287.9 + ,286.6 + ,280.5 + ,272.4 + ,269.2 + ,270.6 + ,267.3 + ,262.5 + ,266.8 + ,268.8 + ,263.1 + ,261.2 + ,266 + ,262.5 + ,265.2 + ,261.3 + ,253.7 + ,249.2 + ,239.1 + ,236.4 + ,235.2 + ,245.2 + ,246.2 + ,247.7 + ,251.4 + ,253.3 + ,254.8 + ,250 + ,249.3 + ,241.5 + ,243.3 + ,248 + ,253 + ,252.9 + ,251.5 + ,251.6 + ,253.5 + ,259.8 + ,334.1 + ,448 + ,445.8 + ,445 + ,448.2 + ,438.2 + ,439.8 + ,423.4 + ,410.8 + ,408.4 + ,406.7 + ,405.9 + ,402.7 + ,405.1 + ,399.6 + ,386.5 + ,381.4 + ,375.2 + ,357.7 + ,359 + ,355 + ,352.7 + ,344.4 + ,343.8 + ,338 + ,339 + ,333.3 + ,334.4 + ,328.3 + ,330.7 + ,330 + ,331.6 + ,351.2 + ,389.4 + ,410.9 + ,442.8 + ,462.8 + ,466.9 + ,461.7 + ,439.2 + ,430.3 + ,416.1 + ,402.5 + ,397.3 + ,403.3 + ,395.9 + ,387.8 + ,378.6 + ,377.1 + ,370.4 + ,362 + ,350.3 + ,348.2 + ,344.6 + ,343.5 + ,342.8 + ,347.6 + ,346.6 + ,349.5 + ,342.1 + ,342 + ,342.8 + ,339.3 + ,348.2 + ,333.7 + ,334.7 + ,354 + ,367.7 + ,363.3 + ,358.4 + ,353.1 + ,343.1 + ,344.6 + ,344.4 + ,333.9 + ,331.7 + ,324.3 + ,321.2 + ,322.4 + ,321.7 + ,320.5 + ,312.8 + ,309.7 + ,315.6 + ,309.7 + ,304.6 + ,302.5 + ,301.5 + ,298.8 + ,291.3 + ,293.6 + ,294.6 + ,285.9 + ,297.6 + ,301.1 + ,293.8 + ,297.7 + ,292.9 + ,292.1 + ,287.2 + ,288.2 + ,283.8 + ,299.9 + ,292.4 + ,293.3 + ,300.8 + ,293.7 + ,293.1 + ,294.4 + ,292.1 + ,291.9 + ,282.5 + ,277.9 + ,287.5 + ,289.2 + ,285.6 + ,293.2 + ,290.8 + ,283.1 + ,275 + ,287.8 + ,287.8 + ,287.4 + ,284 + ,277.8 + ,277.6 + ,304.9 + ,294 + ,300.9 + ,324 + ,332.9 + ,341.6 + ,333.4 + ,348.2 + ,344.7 + ,344.7 + ,329.3 + ,323.5 + ,323.2 + ,317.4 + ,330.1 + ,329.2 + ,334.9 + ,315.8 + ,315.4 + ,319.6 + ,317.3 + ,313.8 + ,315.8 + ,311.3) > x <- c(87.28 + ,87.28 + ,87.09 + ,86.92 + ,87.59 + ,90.72 + ,90.69 + ,90.3 + ,89.55 + ,88.94 + ,88.41 + ,87.82 + ,87.07 + ,86.82 + ,86.4 + ,86.02 + ,85.66 + ,85.32 + ,85 + ,84.67 + ,83.94 + ,82.83 + ,81.95 + ,81.19 + ,80.48 + ,78.86 + ,69.47 + ,68.77 + ,70.06 + ,73.95 + ,75.8 + ,77.79 + ,81.57 + ,83.07 + ,84.34 + ,85.1 + ,85.25 + ,84.26 + ,83.63 + ,86.44 + ,85.3 + ,84.1 + ,83.36 + ,82.48 + ,81.58 + ,80.47 + ,79.34 + ,82.13 + ,81.69 + ,80.7 + ,79.88 + ,79.16 + ,78.38 + ,77.42 + ,76.47 + ,75.46 + ,74.48 + ,78.27 + ,80.7 + ,79.91 + ,78.75 + ,77.78 + ,81.14 + ,81.08 + ,80.03 + ,78.91 + ,78.01 + ,76.9 + ,75.97 + ,81.93 + ,80.27 + ,78.67 + ,77.42 + ,76.16 + ,74.7 + ,76.39 + ,76.04 + ,74.65 + ,73.29 + ,71.79 + ,74.39 + ,74.91 + ,74.54 + ,73.08 + ,72.75 + ,71.32 + ,70.38 + ,70.35 + ,70.01 + ,69.36 + ,67.77 + ,69.26 + ,69.8 + ,68.38 + ,67.62 + ,68.39 + ,66.95 + ,65.21 + ,66.64 + ,63.45 + ,60.66 + ,62.34 + ,60.32 + ,58.64 + ,60.46 + ,58.59 + ,61.87 + ,61.85 + ,67.44 + ,77.06 + ,91.74 + ,93.15 + ,94.15 + ,93.11 + ,91.51 + ,89.96 + ,88.16 + ,86.98 + ,88.03 + ,86.24 + ,84.65 + ,83.23 + ,81.7 + ,80.25 + ,78.8 + ,77.51 + ,76.2 + ,75.04 + ,74 + ,75.49 + ,77.14 + ,76.15 + ,76.27 + ,78.19 + ,76.49 + ,77.31 + ,76.65 + ,74.99 + ,73.51 + ,72.07 + ,70.59 + ,71.96 + ,76.29 + ,74.86 + ,74.93 + ,71.9 + ,71.01 + ,77.47 + ,75.78 + ,76.6 + ,76.07 + ,74.57 + ,73.02 + ,72.65 + ,73.16 + ,71.53 + ,69.78 + ,67.98 + ,69.96 + ,72.16 + ,70.47 + ,68.86 + ,67.37 + ,65.87 + ,72.16 + ,71.34 + ,69.93 + ,68.44 + ,67.16 + ,66.01 + ,67.25 + ,70.91 + ,69.75 + ,68.59 + ,67.48 + ,66.31 + ,64.81 + ,66.58 + ,65.97 + ,64.7 + ,64.7 + ,60.94 + ,59.08 + ,58.42 + ,57.77 + ,57.11 + ,53.31 + ,49.96 + ,49.4 + ,48.84 + ,48.3 + ,47.74 + ,47.24 + ,46.76 + ,46.29 + ,48.9 + ,49.23 + ,48.53 + ,48.03 + ,54.34 + ,53.79 + ,53.24 + ,52.96 + ,52.17 + ,51.7 + ,58.55 + ,78.2 + ,77.03 + ,76.19 + ,77.15 + ,75.87 + ,95.47 + ,109.67 + ,112.28 + ,112.01 + ,107.93 + ,105.96 + ,105.06 + ,102.98 + ,102.2 + ,105.23 + ,101.85 + ,99.89 + ,96.23 + ,94.76 + ,91.51 + ,91.63 + ,91.54 + ,85.23 + ,87.83 + ,87.38 + ,84.44 + ,85.19 + ,84.03 + ,86.73 + ,102.52 + ,104.45 + ,106.98 + ,107.02 + ,99.26 + ,94.45 + ,113.44 + ,157.33 + ,147.38 + ,171.89 + ,171.95 + ,132.71 + ,126.02 + ,121.18 + ,115.45 + ,110.48 + ,117.85 + ,117.63 + ,124.65 + ,109.59 + ,111.27 + ,99.78 + ,98.21 + ,99.2 + ,97.97 + ,89.55 + ,87.91 + ,93.34 + ,94.42 + ,93.2 + ,90.29 + ,91.46 + ,89.98 + ,88.35 + ,88.41 + ,82.44 + ,79.89 + ,75.69 + ,75.66 + ,84.5 + ,96.73 + ,87.48 + ,82.39 + ,83.48 + ,79.31 + ,78.16 + ,72.77 + ,72.45 + ,68.46 + ,67.62 + ,68.76 + ,70.07 + ,68.55 + ,65.3 + ,58.96 + ,59.17 + ,62.37 + ,66.28 + ,55.62 + ,55.23 + ,55.85 + ,56.75 + ,50.89 + ,53.88 + ,52.95 + ,55.08 + ,53.61 + ,58.78 + ,61.85 + ,55.91 + ,53.32 + ,46.41 + ,44.57 + ,50 + ,50 + ,53.36 + ,46.23 + ,50.45 + ,49.07 + ,45.85 + ,48.45 + ,49.96 + ,46.53 + ,50.51 + ,47.58 + ,48.05 + ,46.84 + ,47.67 + ,49.16 + ,55.54 + ,55.82 + ,58.22 + ,56.19 + ,57.77 + ,63.19 + ,54.76 + ,55.74 + ,62.54 + ,61.39 + ,69.6 + ,79.23 + ,80 + ,93.68 + ,107.63 + ,100.18 + ,97.3 + ,90.45 + ,80.64 + ,80.58 + ,75.82 + ,85.59 + ,89.35 + ,89.42 + ,104.73 + ,95.32 + ,89.27 + ,90.44 + ,86.97 + ,79.98 + ,81.22 + ,87.35 + ,83.64 + ,82.22 + ,94.4 + ,102.18) > par8 = '11' > par7 = '0' > par6 = '2' > par5 = '1' > par4 = '12' > par3 = '0' > par2 = '2' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: Wessa P., (2008), Bivariate Granger Causality (v1.0.0) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_grangercausality.wasp#output/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from package:base : as.Date.numeric > par1 <- as.numeric(par1) > par2 <- as.numeric(par2) > par3 <- as.numeric(par3) > par4 <- as.numeric(par4) > par5 <- as.numeric(par5) > par6 <- as.numeric(par6) > par7 <- as.numeric(par7) > par8 <- as.numeric(par8) > ox <- x > oy <- y > if (par1 == 0) { + x <- log(x) + } else { + x <- (x ^ par1 - 1) / par1 + } > if (par5 == 0) { + y <- log(y) + } else { + y <- (y ^ par5 - 1) / par5 + } > if (par2 > 0) x <- diff(x,lag=1,difference=par2) > if (par6 > 0) y <- diff(y,lag=1,difference=par6) > if (par3 > 0) x <- diff(x,lag=par4,difference=par3) > if (par7 > 0) y <- diff(y,lag=par4,difference=par7) > x [1] -1.900000e-01 2.000000e-02 8.400000e-01 2.460000e+00 -3.160000e+00 [6] -3.600000e-01 -3.600000e-01 1.400000e-01 8.000000e-02 -6.000000e-02 [11] -1.600000e-01 5.000000e-01 -1.700000e-01 4.000000e-02 2.000000e-02 [16] 2.000000e-02 2.000000e-02 -1.000000e-02 -4.000000e-01 -3.800000e-01 [21] 2.300000e-01 1.200000e-01 5.000000e-02 -9.100000e-01 -7.770000e+00 [26] 8.690000e+00 1.990000e+00 2.600000e+00 -2.040000e+00 1.400000e-01 [31] 1.790000e+00 -2.280000e+00 -2.300000e-01 -5.100000e-01 -6.100000e-01 [36] -1.140000e+00 3.600000e-01 3.440000e+00 -3.950000e+00 -6.000000e-02 [41] 4.600000e-01 -1.400000e-01 -2.000000e-02 -2.100000e-01 -2.000000e-02 [46] 3.920000e+00 -3.230000e+00 -5.500000e-01 1.700000e-01 1.000000e-01 [51] -6.000000e-02 -1.800000e-01 1.000000e-02 -6.000000e-02 3.000000e-02 [56] 4.770000e+00 -1.360000e+00 -3.220000e+00 -3.700000e-01 1.900000e-01 [61] 4.330000e+00 -3.420000e+00 -9.900000e-01 -7.000000e-02 2.200000e-01 [66] -2.100000e-01 1.800000e-01 6.890000e+00 -7.620000e+00 6.000000e-02 [71] 3.500000e-01 -1.000000e-02 -2.000000e-01 3.150000e+00 -2.040000e+00 [76] -1.040000e+00 3.000000e-02 -1.400000e-01 4.100000e+00 -2.080000e+00 [81] -8.900000e-01 -1.090000e+00 1.130000e+00 -1.100000e+00 4.900000e-01 [86] 9.100000e-01 -3.100000e-01 -3.100000e-01 -9.400000e-01 3.080000e+00 [91] -9.500000e-01 -1.960000e+00 6.600000e-01 1.530000e+00 -2.210000e+00 [96] -3.000000e-01 3.170000e+00 -4.620000e+00 4.000000e-01 4.470000e+00 [101] -3.700000e+00 3.400000e-01 3.500000e+00 -3.690000e+00 5.150000e+00 [106] -3.300000e+00 5.610000e+00 4.030000e+00 5.060000e+00 -1.327000e+01 [111] -4.100000e-01 -2.040000e+00 -5.600000e-01 5.000000e-02 -2.500000e-01 [116] 6.200000e-01 2.230000e+00 -2.840000e+00 2.000000e-01 1.700000e-01 [121] -1.100000e-01 8.000000e-02 0.000000e+00 1.600000e-01 -2.000000e-02 [126] 1.500000e-01 1.200000e-01 2.530000e+00 1.600000e-01 -2.640000e+00 [131] 1.110000e+00 1.800000e+00 -3.620000e+00 2.520000e+00 -1.480000e+00 [136] -1.000000e+00 1.800000e-01 4.000000e-02 -4.000000e-02 2.850000e+00 [141] 2.960000e+00 -5.760000e+00 1.500000e+00 -3.100000e+00 2.140000e+00 [146] 7.350000e+00 -8.150000e+00 2.510000e+00 -1.350000e+00 -9.700000e-01 [151] -5.000000e-02 1.180000e+00 8.800000e-01 -2.140000e+00 -1.200000e-01 [156] -5.000000e-02 3.780000e+00 2.200000e-01 -3.890000e+00 8.000000e-02 [161] 1.200000e-01 -1.000000e-02 7.790000e+00 -7.110000e+00 -5.900000e-01 [166] -8.000000e-02 2.100000e-01 1.300000e-01 2.390000e+00 2.420000e+00 [171] -4.820000e+00 0.000000e+00 5.000000e-02 -6.000000e-02 -3.300000e-01 [176] 3.270000e+00 -2.380000e+00 -6.600000e-01 1.270000e+00 -3.760000e+00 [181] 1.900000e+00 1.200000e+00 1.000000e-02 -1.000000e-02 -3.140000e+00 [186] 4.500000e-01 2.790000e+00 7.105427e-15 2.000000e-02 -2.000000e-02 [191] 6.000000e-02 2.000000e-02 1.000000e-02 3.080000e+00 -2.280000e+00 [196] -1.030000e+00 2.000000e-01 6.810000e+00 -6.860000e+00 7.105427e-15 [201] 2.700000e-01 -5.100000e-01 3.200000e-01 7.320000e+00 1.280000e+01 [206] -2.082000e+01 3.300000e-01 1.800000e+00 -2.240000e+00 2.088000e+01 [211] -5.400000e+00 -1.159000e+01 -2.880000e+00 -3.810000e+00 2.110000e+00 [216] 1.070000e+00 -1.180000e+00 1.300000e+00 3.810000e+00 -6.410000e+00 [221] 1.420000e+00 -1.700000e+00 2.190000e+00 -1.780000e+00 3.370000e+00 [226] -2.100000e-01 -6.220000e+00 8.910000e+00 -3.050000e+00 -2.490000e+00 [231] 3.690000e+00 -1.910000e+00 3.860000e+00 1.309000e+01 -1.386000e+01 [236] 6.000000e-01 -2.490000e+00 -7.800000e+00 2.950000e+00 2.380000e+01 [241] 2.490000e+01 -5.384000e+01 3.446000e+01 -2.445000e+01 -3.930000e+01 [246] 3.255000e+01 1.850000e+00 -8.900000e-01 7.600000e-01 1.234000e+01 [251] -7.590000e+00 7.240000e+00 -2.208000e+01 1.674000e+01 -1.317000e+01 [256] 9.920000e+00 2.560000e+00 -2.220000e+00 -7.190000e+00 6.780000e+00 [261] 7.070000e+00 -4.350000e+00 -2.300000e+00 -1.690000e+00 4.080000e+00 [266] -2.650000e+00 -1.500000e-01 1.690000e+00 -6.030000e+00 3.420000e+00 [271] -1.650000e+00 4.170000e+00 8.870000e+00 3.390000e+00 -2.148000e+01 [276] 4.160000e+00 6.180000e+00 -5.260000e+00 3.020000e+00 -4.240000e+00 [281] 5.070000e+00 -3.670000e+00 3.150000e+00 1.980000e+00 1.700000e-01 [286] -2.830000e+00 -1.730000e+00 -3.090000e+00 6.550000e+00 2.990000e+00 [291] 7.100000e-01 -1.457000e+01 1.027000e+01 1.010000e+00 2.800000e-01 [296] -6.760000e+00 8.850000e+00 -3.920000e+00 3.060000e+00 -3.600000e+00 [301] 6.640000e+00 -2.100000e+00 -9.010000e+00 3.350000e+00 -4.320000e+00 [306] 5.070000e+00 7.270000e+00 -5.430000e+00 3.360000e+00 -1.049000e+01 [311] 1.135000e+01 -5.600000e+00 -1.840000e+00 5.820000e+00 -1.090000e+00 [316] -4.940000e+00 7.410000e+00 -6.910000e+00 3.400000e+00 -1.680000e+00 [321] 2.040000e+00 6.600000e-01 4.890000e+00 -6.100000e+00 2.120000e+00 [326] -4.430000e+00 3.610000e+00 3.840000e+00 -1.385000e+01 9.410000e+00 [331] 5.820000e+00 -7.950000e+00 9.360000e+00 1.420000e+00 -8.860000e+00 [336] 1.291000e+01 2.700000e-01 -2.140000e+01 4.570000e+00 -3.970000e+00 [341] -2.960000e+00 9.750000e+00 -4.700000e+00 1.453000e+01 -6.010000e+00 [346] -3.690000e+00 1.524000e+01 -2.472000e+01 3.360000e+00 7.220000e+00 [351] -4.640000e+00 -3.520000e+00 8.230000e+00 4.890000e+00 -9.840000e+00 [356] 2.290000e+00 1.360000e+01 -4.400000e+00 > y [1] -5.500000e+00 1.960000e+01 -4.300000e+00 -1.570000e+01 -2.360000e+01 [6] -3.200000e+00 1.000000e+00 3.000000e-01 -5.400000e+00 6.300000e+00 [11] -3.000000e-01 2.000000e+00 1.000000e+00 -9.400000e+00 6.600000e+00 [16] -3.200000e+00 3.200000e+00 -9.500000e+00 6.500000e+00 4.000000e+00 [21] 3.500000e+00 -6.000000e-01 -2.800000e+00 2.000000e-01 -2.900000e+00 [26] 3.500000e+00 1.600000e+00 6.600000e+00 1.730000e+01 4.600000e+00 [31] -1.580000e+01 -5.900000e+00 -6.000000e-01 -2.300000e+00 -1.390000e+01 [36] 1.750000e+01 -1.260000e+01 1.700000e+00 7.300000e+00 -4.300000e+00 [41] 9.200000e+00 -1.000000e+01 -7.900000e+00 5.100000e+00 -7.900000e+00 [46] 4.000000e+00 6.500000e+00 -1.230000e+01 1.010000e+01 3.200000e+00 [51] -3.000000e-01 3.700000e+00 -4.500000e+00 1.800000e+00 7.000000e-01 [56] 1.300000e+00 -3.600000e+00 1.220000e+01 -1.080000e+01 1.320000e+01 [61] -1.030000e+01 -8.000000e-01 2.000000e-01 -2.300000e+00 -1.100000e+00 [66] 4.200000e+00 -2.700000e+00 -9.000000e-01 1.400000e+00 1.400000e+00 [71] 1.200000e+00 -1.000000e-01 -1.400000e+00 -4.300000e+00 3.700000e+00 [76] -4.000000e-01 -5.000000e-01 2.800000e+00 -3.700000e+00 3.200000e+00 [81] 1.400000e+00 -4.600000e+00 6.600000e+00 1.100000e+00 -7.700000e+00 [86] 3.200000e+00 3.000000e-01 2.200000e+00 -1.100000e+00 -3.100000e+00 [91] 2.000000e+00 -4.000000e-01 -2.000000e+00 2.100000e+00 -1.000000e+00 [96] 2.000000e+00 -1.600000e+00 -1.200000e+00 -5.684342e-14 1.300000e+00 [101] -2.000000e-01 -5.500000e+00 4.000000e+00 2.300000e+00 -2.200000e+00 [106] -6.700000e+00 2.810000e+01 6.360000e+01 -6.350000e+01 -2.720000e+01 [111] 2.900000e+00 7.000000e-01 -4.100000e+00 -6.200000e+00 -6.100000e+00 [116] 1.790000e+01 5.300000e+00 -4.200000e+00 -2.500000e+00 -4.800000e+00 [121] 2.300000e+00 -3.800000e+00 -4.000000e-01 8.500000e+00 -1.700000e+00 [126] -6.700000e+00 1.360000e+01 2.500000e+00 -1.840000e+01 8.900000e+00 [131] 1.320000e+01 -9.800000e+00 -6.800000e+00 1.420000e+01 -9.500000e+00 [136] 3.000000e-01 7.700000e+00 -1.050000e+01 5.200000e+00 6.000000e-01 [141] 2.200000e+00 -4.000000e-01 6.000000e-01 4.900000e+00 -1.010000e+01 [146] 8.900000e+00 -2.800000e+00 -4.400000e+00 5.400000e+00 -1.120000e+01 [151] -1.900000e+00 1.300000e+00 -7.500000e+00 1.690000e+01 -5.400000e+00 [156] 6.800000e+00 -1.220000e+01 6.800000e+00 5.900000e+00 -1.400000e+00 [161] 3.800000e+00 -1.040000e+01 2.500000e+00 7.000000e-01 -9.000000e+00 [166] 8.100000e+00 8.000000e-01 2.200000e+00 -1.030000e+01 1.070000e+01 [171] -7.500000e+00 3.200000e+00 -4.800000e+00 -2.000000e+00 4.900000e+00 [176] 4.600000e+00 -4.700000e+00 -1.500000e+00 9.100000e+00 -2.300000e+00 [181] -7.700000e+00 3.800000e+00 6.700000e+00 -8.300000e+00 6.200000e+00 [186] -6.600000e+00 -3.700000e+00 3.100000e+00 -5.600000e+00 7.400000e+00 [191] 1.500000e+00 1.120000e+01 -9.000000e+00 5.000000e-01 2.200000e+00 [196] -1.800000e+00 -4.000000e-01 -6.300000e+00 4.100000e+00 -7.100000e+00 [201] 9.600000e+00 2.900000e+00 3.000000e-01 -5.100000e+00 -1.300000e+00 [206] 1.500000e+00 1.800000e+00 4.400000e+00 6.800000e+01 3.960000e+01 [211] -1.161000e+02 1.400000e+00 4.000000e+00 -1.320000e+01 1.160000e+01 [216] -1.800000e+01 3.800000e+00 1.020000e+01 7.000000e-01 9.000000e-01 [221] -2.400000e+00 5.600000e+00 -7.900000e+00 -7.600000e+00 8.000000e+00 [226] -1.100000e+00 -1.130000e+01 1.880000e+01 -5.300000e+00 1.700000e+00 [231] -6.000000e+00 7.700000e+00 -5.200000e+00 6.800000e+00 -6.700000e+00 [236] 6.800000e+00 -7.200000e+00 8.500000e+00 -3.100000e+00 2.300000e+00 [241] 1.800000e+01 1.860000e+01 -1.670000e+01 1.040000e+01 -1.190000e+01 [246] -1.590000e+01 -9.300000e+00 -1.730000e+01 1.360000e+01 -5.300000e+00 [251] 6.000000e-01 8.400000e+00 1.120000e+01 -1.340000e+01 -7.000000e-01 [256] -1.100000e+00 7.700000e+00 -5.200000e+00 -1.700000e+00 -3.300000e+00 [261] 9.600000e+00 -1.500000e+00 2.500000e+00 4.000000e-01 5.500000e+00 [266] -5.800000e+00 3.900000e+00 -1.030000e+01 7.300000e+00 9.000000e-01 [271] -4.300000e+00 1.240000e+01 -2.340000e+01 1.550000e+01 1.830000e+01 [276] -5.600000e+00 -1.810000e+01 -5.000000e-01 -4.000000e-01 -4.700000e+00 [281] 1.150000e+01 -1.700000e+00 -1.030000e+01 8.300000e+00 -5.200000e+00 [286] 4.300000e+00 4.300000e+00 -1.900000e+00 -5.000000e-01 -6.500000e+00 [291] 4.600000e+00 9.000000e+00 -1.180000e+01 8.000000e-01 3.000000e+00 [296] 1.100000e+00 -1.700000e+00 -4.800000e+00 9.800000e+00 -1.300000e+00 [301] -9.700000e+00 2.040000e+01 -8.200000e+00 -1.080000e+01 1.120000e+01 [306] -8.700000e+00 4.000000e+00 -4.100000e+00 5.900000e+00 -5.400000e+00 [311] 2.050000e+01 -2.360000e+01 8.400000e+00 6.600000e+00 -1.460000e+01 [316] 6.500000e+00 1.900000e+00 -3.600000e+00 2.100000e+00 -9.200000e+00 [321] 4.800000e+00 1.420000e+01 -7.900000e+00 -5.300000e+00 1.120000e+01 [326] -1.000000e+01 -5.300000e+00 -4.000000e-01 2.090000e+01 -1.280000e+01 [331] -4.000000e-01 -3.000000e+00 -2.800000e+00 6.000000e+00 2.750000e+01 [336] -3.820000e+01 1.780000e+01 1.620000e+01 -1.420000e+01 -2.000000e-01 [341] -1.690000e+01 2.300000e+01 -1.830000e+01 3.500000e+00 -1.540000e+01 [346] 9.600000e+00 5.500000e+00 -5.500000e+00 1.850000e+01 -1.360000e+01 [351] 6.600000e+00 -2.480000e+01 1.870000e+01 4.600000e+00 -6.500000e+00 [356] -1.200000e+00 5.500000e+00 -6.500000e+00 > (gyx <- grangertest(y ~ x, order=par8)) Granger causality test Model 1: ~ Lags(, 1:11) + Lags(, 1:11) Model 2: ~ Lags(, 1:11) Res.Df Df F Pr(>F) 1 324 2 335 -11 2.3716 0.007868 ** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 > (gxy <- grangertest(x ~ y, order=par8)) Granger causality test Model 1: ~ Lags(, 1:11) + Lags(, 1:11) Model 2: ~ Lags(, 1:11) Res.Df Df F Pr(>F) 1 324 2 335 -11 2.1999 0.01425 * --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 > postscript(file="/var/www/html/rcomp/tmp/1qqqm1260445083.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op <- par(mfrow=c(2,1)) > (r <- ccf(ox,oy,main='Cross Correlation Function (raw data)',ylab='CCF',xlab='Lag (k)')) Autocorrelations of series 'X', by lag -22 -21 -20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 0.112 0.121 0.133 0.148 0.171 0.195 0.224 0.257 0.292 0.328 0.367 0.404 0.442 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 0.480 0.519 0.561 0.605 0.651 0.687 0.712 0.724 0.723 0.708 0.683 0.646 0.601 4 5 6 7 8 9 10 11 12 13 14 15 16 0.561 0.526 0.494 0.466 0.436 0.405 0.370 0.340 0.315 0.293 0.277 0.265 0.253 17 18 19 20 21 22 0.243 0.244 0.244 0.242 0.240 0.238 > (r <- ccf(x,y,main='Cross Correlation Function (transformed and differenced)',ylab='CCF',xlab='Lag (k)')) Autocorrelations of series 'X', by lag -22 -21 -20 -19 -18 -17 -16 -15 -14 -13 -12 -0.041 0.009 0.037 -0.093 0.092 -0.047 -0.016 0.029 0.000 -0.036 0.054 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -0.036 0.037 -0.013 -0.003 -0.021 -0.093 0.098 -0.002 -0.006 0.020 0.010 0 1 2 3 4 5 6 7 8 9 10 -0.020 0.065 0.054 -0.101 -0.045 0.043 -0.042 0.026 -0.019 0.098 -0.044 11 12 13 14 15 16 17 18 19 20 21 -0.066 0.084 -0.054 -0.051 0.094 0.019 -0.135 0.052 0.040 -0.013 0.000 22 0.033 > par(op) > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/2qeku1260445083.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op <- par(mfrow=c(2,1)) > acf(ox,lag.max=round(length(x)/2),main='ACF of x (raw)') > acf(x,lag.max=round(length(x)/2),main='ACF of x (transformed and differenced)') > par(op) > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/3f3z21260445083.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op <- par(mfrow=c(2,1)) > acf(oy,lag.max=round(length(y)/2),main='ACF of y (raw)') > acf(y,lag.max=round(length(y)/2),main='ACF of y (transformed and differenced)') > par(op) > dev.off() null device 1 > > #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Granger Causality Test: Y = f(X)',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Model',header=TRUE) > a<-table.element(a,'Res.DF',header=TRUE) > a<-table.element(a,'Diff. DF',header=TRUE) > a<-table.element(a,'F',header=TRUE) > a<-table.element(a,'p-value',header=TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Complete model',header=TRUE) > a<-table.element(a,gyx$Res.Df[1]) > a<-table.element(a,'') > a<-table.element(a,'') > a<-table.element(a,'') > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Reduced model',header=TRUE) > a<-table.element(a,gyx$Res.Df[2]) > a<-table.element(a,gyx$Df[2]) > a<-table.element(a,gyx$F[2]) > a<-table.element(a,gyx$Pr[2]) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/4nvmd1260445083.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Granger Causality Test: X = f(Y)',5,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Model',header=TRUE) > a<-table.element(a,'Res.DF',header=TRUE) > a<-table.element(a,'Diff. DF',header=TRUE) > a<-table.element(a,'F',header=TRUE) > a<-table.element(a,'p-value',header=TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Complete model',header=TRUE) > a<-table.element(a,gxy$Res.Df[1]) > a<-table.element(a,'') > a<-table.element(a,'') > a<-table.element(a,'') > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Reduced model',header=TRUE) > a<-table.element(a,gxy$Res.Df[2]) > a<-table.element(a,gxy$Df[2]) > a<-table.element(a,gxy$F[2]) > a<-table.element(a,gxy$Pr[2]) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/5dpab1260445083.tab") > > system("convert tmp/1qqqm1260445083.ps tmp/1qqqm1260445083.png") > system("convert tmp/2qeku1260445083.ps tmp/2qeku1260445083.png") > system("convert tmp/3f3z21260445083.ps tmp/3f3z21260445083.png") > > > proc.time() user system elapsed 1.140 0.491 1.530