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Type 'q()' to quit R. > x <- array(list(103.52,0,103.5,0,103.52,0,103.53,0,103.53,0,103.53,0,103.52,0,103.54,0,103.59,0,103.59,0,103.59,0,103.59,0,103.63,0,103.74,0,103.7,0,103.72,0,103.81,0,103.8,0,104.22,0,106.91,1,107.06,1,107.17,1,107.25,1,107.28,1,107.24,1,107.23,1,107.34,1,107.34,1,107.3,1,107.24,1,107.3,1,107.32,1,107.28,1,107.33,1,107.33,1,107.33,1,107.28,1,107.28,1,107.29,1,107.29,1,107.23,1,107.24,1,107.24,1,107.2,1,107.23,1,107.2,1,107.21,1,107.24,1,107.21,1,113.89,1,114.05,1,114.05,1,114.05,1,114.05,1,115.12,1,115.68,1,116.05,1,116.18,1,116.35,1,116.44,1,117,1,117.61,1,118.17,1,118.33,1,118.33,1,118.42,1,118.5,1,118.67,1,119.09,1,119.14,1,119.23,1,119.33,1),dim=c(2,72),dimnames=list(c('Y','X'),1:72)) > y <- array(NA,dim=c(2,72),dimnames=list(c('Y','X'),1:72)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > #'GNU S' R Code compiled by R2WASP v. 1.0.44 () > #Author: Prof. Dr. P. Wessa > #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/ > #Source of accompanying publication: Office for Research, Development, and Education > #Technical description: Write here your technical program description (don't use hard returns!) > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from package:base : as.Date.numeric > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x Y X 1 103.52 0 2 103.50 0 3 103.52 0 4 103.53 0 5 103.53 0 6 103.53 0 7 103.52 0 8 103.54 0 9 103.59 0 10 103.59 0 11 103.59 0 12 103.59 0 13 103.63 0 14 103.74 0 15 103.70 0 16 103.72 0 17 103.81 0 18 103.80 0 19 104.22 0 20 106.91 1 21 107.06 1 22 107.17 1 23 107.25 1 24 107.28 1 25 107.24 1 26 107.23 1 27 107.34 1 28 107.34 1 29 107.30 1 30 107.24 1 31 107.30 1 32 107.32 1 33 107.28 1 34 107.33 1 35 107.33 1 36 107.33 1 37 107.28 1 38 107.28 1 39 107.29 1 40 107.29 1 41 107.23 1 42 107.24 1 43 107.24 1 44 107.20 1 45 107.23 1 46 107.20 1 47 107.21 1 48 107.24 1 49 107.21 1 50 113.89 1 51 114.05 1 52 114.05 1 53 114.05 1 54 114.05 1 55 115.12 1 56 115.68 1 57 116.05 1 58 116.18 1 59 116.35 1 60 116.44 1 61 117.00 1 62 117.61 1 63 118.17 1 64 118.33 1 65 118.33 1 66 118.42 1 67 118.50 1 68 118.67 1 69 119.09 1 70 119.14 1 71 119.23 1 72 119.33 1 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) X 103.641 7.777 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -4.5074 -4.1374 -0.1105 2.9001 7.9126 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 103.6405 0.9836 105.369 < 2e-16 *** X 7.7768 1.1464 6.784 3.09e-09 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 4.287 on 70 degrees of freedom Multiple R-squared: 0.3966, Adjusted R-squared: 0.388 F-statistic: 46.02 on 1 and 70 DF, p-value: 3.091e-09 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } [,1] [,2] [,3] [1,] 4.489418e-08 8.978836e-08 1.000000e+00 [2,] 1.489368e-10 2.978736e-10 1.000000e+00 [3,] 3.683709e-13 7.367417e-13 1.000000e+00 [4,] 2.467203e-15 4.934407e-15 1.000000e+00 [5,] 1.655705e-15 3.311410e-15 1.000000e+00 [6,] 6.148319e-17 1.229664e-16 1.000000e+00 [7,] 1.321688e-18 2.643376e-18 1.000000e+00 [8,] 2.217736e-20 4.435472e-20 1.000000e+00 [9,] 1.517345e-21 3.034691e-21 1.000000e+00 [10,] 4.795066e-21 9.590132e-21 1.000000e+00 [11,] 3.792851e-22 7.585701e-22 1.000000e+00 [12,] 3.129606e-23 6.259213e-23 1.000000e+00 [13,] 1.240354e-23 2.480709e-23 1.000000e+00 [14,] 1.672784e-24 3.345569e-24 1.000000e+00 [15,] 3.935522e-22 7.871045e-22 1.000000e+00 [16,] 1.511786e-23 3.023572e-23 1.000000e+00 [17,] 6.932860e-25 1.386572e-24 1.000000e+00 [18,] 3.903312e-26 7.806624e-26 1.000000e+00 [19,] 2.565027e-27 5.130054e-27 1.000000e+00 [20,] 1.584031e-28 3.168062e-28 1.000000e+00 [21,] 7.339094e-30 1.467819e-29 1.000000e+00 [22,] 3.192375e-31 6.384751e-31 1.000000e+00 [23,] 2.123014e-32 4.246028e-32 1.000000e+00 [24,] 1.292521e-33 2.585043e-33 1.000000e+00 [25,] 6.375025e-35 1.275005e-34 1.000000e+00 [26,] 2.783319e-36 5.566639e-36 1.000000e+00 [27,] 1.398373e-37 2.796745e-37 1.000000e+00 [28,] 7.625415e-39 1.525083e-38 1.000000e+00 [29,] 3.813285e-40 7.626570e-40 1.000000e+00 [30,] 2.291196e-41 4.582392e-41 1.000000e+00 [31,] 1.435502e-42 2.871004e-42 1.000000e+00 [32,] 9.529073e-44 1.905815e-43 1.000000e+00 [33,] 6.118171e-45 1.223634e-44 1.000000e+00 [34,] 4.375534e-46 8.751069e-46 1.000000e+00 [35,] 3.619844e-47 7.239688e-47 1.000000e+00 [36,] 3.534707e-48 7.069415e-48 1.000000e+00 [37,] 4.326252e-49 8.652504e-49 1.000000e+00 [38,] 6.882013e-50 1.376403e-49 1.000000e+00 [39,] 1.574118e-50 3.148236e-50 1.000000e+00 [40,] 6.511212e-51 1.302242e-50 1.000000e+00 [41,] 4.957910e-51 9.915820e-51 1.000000e+00 [42,] 1.161050e-50 2.322100e-50 1.000000e+00 [43,] 1.413011e-49 2.826022e-49 1.000000e+00 [44,] 3.672564e-47 7.345128e-47 1.000000e+00 [45,] 3.840858e-41 7.681715e-41 1.000000e+00 [46,] 3.243511e-05 6.487023e-05 9.999676e-01 [47,] 3.017198e-02 6.034396e-02 9.698280e-01 [48,] 2.804191e-01 5.608381e-01 7.195809e-01 [49,] 6.703843e-01 6.592315e-01 3.296157e-01 [50,] 9.228590e-01 1.542819e-01 7.714097e-02 [51,] 9.830976e-01 3.380471e-02 1.690235e-02 [52,] 9.956634e-01 8.673272e-03 4.336636e-03 [53,] 9.986120e-01 2.776012e-03 1.388006e-03 [54,] 9.995511e-01 8.978035e-04 4.489018e-04 [55,] 9.998665e-01 2.670515e-04 1.335258e-04 [56,] 9.999794e-01 4.129122e-05 2.064561e-05 [57,] 9.999961e-01 7.763649e-06 3.881825e-06 [58,] 9.999980e-01 4.029942e-06 2.014971e-06 [59,] 9.999952e-01 9.529149e-06 4.764575e-06 [60,] 9.999834e-01 3.327532e-05 1.663766e-05 [61,] 9.999457e-01 1.086562e-04 5.432810e-05 [62,] 9.998059e-01 3.881743e-04 1.940872e-04 [63,] 9.993904e-01 1.219262e-03 6.096309e-04 > postscript(file="/var/www/html/rcomp/tmp/1zkqd1259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/2t4sx1259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/36jhy1259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/477am1259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/5ij691259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 72 Frequency = 1 1 2 3 4 5 6 -0.12052632 -0.14052632 -0.12052632 -0.11052632 -0.11052632 -0.11052632 7 8 9 10 11 12 -0.12052632 -0.10052632 -0.05052632 -0.05052632 -0.05052632 -0.05052632 13 14 15 16 17 18 -0.01052632 0.09947368 0.05947368 0.07947368 0.16947368 0.15947368 19 20 21 22 23 24 0.57947368 -4.50735849 -4.35735849 -4.24735849 -4.16735849 -4.13735849 25 26 27 28 29 30 -4.17735849 -4.18735849 -4.07735849 -4.07735849 -4.11735849 -4.17735849 31 32 33 34 35 36 -4.11735849 -4.09735849 -4.13735849 -4.08735849 -4.08735849 -4.08735849 37 38 39 40 41 42 -4.13735849 -4.13735849 -4.12735849 -4.12735849 -4.18735849 -4.17735849 43 44 45 46 47 48 -4.17735849 -4.21735849 -4.18735849 -4.21735849 -4.20735849 -4.17735849 49 50 51 52 53 54 -4.20735849 2.47264151 2.63264151 2.63264151 2.63264151 2.63264151 55 56 57 58 59 60 3.70264151 4.26264151 4.63264151 4.76264151 4.93264151 5.02264151 61 62 63 64 65 66 5.58264151 6.19264151 6.75264151 6.91264151 6.91264151 7.00264151 67 68 69 70 71 72 7.08264151 7.25264151 7.67264151 7.72264151 7.81264151 7.91264151 > postscript(file="/var/www/html/rcomp/tmp/6vfd21259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 72 Frequency = 1 lag(myerror, k = 1) myerror 0 -0.12052632 NA 1 -0.14052632 -0.12052632 2 -0.12052632 -0.14052632 3 -0.11052632 -0.12052632 4 -0.11052632 -0.11052632 5 -0.11052632 -0.11052632 6 -0.12052632 -0.11052632 7 -0.10052632 -0.12052632 8 -0.05052632 -0.10052632 9 -0.05052632 -0.05052632 10 -0.05052632 -0.05052632 11 -0.05052632 -0.05052632 12 -0.01052632 -0.05052632 13 0.09947368 -0.01052632 14 0.05947368 0.09947368 15 0.07947368 0.05947368 16 0.16947368 0.07947368 17 0.15947368 0.16947368 18 0.57947368 0.15947368 19 -4.50735849 0.57947368 20 -4.35735849 -4.50735849 21 -4.24735849 -4.35735849 22 -4.16735849 -4.24735849 23 -4.13735849 -4.16735849 24 -4.17735849 -4.13735849 25 -4.18735849 -4.17735849 26 -4.07735849 -4.18735849 27 -4.07735849 -4.07735849 28 -4.11735849 -4.07735849 29 -4.17735849 -4.11735849 30 -4.11735849 -4.17735849 31 -4.09735849 -4.11735849 32 -4.13735849 -4.09735849 33 -4.08735849 -4.13735849 34 -4.08735849 -4.08735849 35 -4.08735849 -4.08735849 36 -4.13735849 -4.08735849 37 -4.13735849 -4.13735849 38 -4.12735849 -4.13735849 39 -4.12735849 -4.12735849 40 -4.18735849 -4.12735849 41 -4.17735849 -4.18735849 42 -4.17735849 -4.17735849 43 -4.21735849 -4.17735849 44 -4.18735849 -4.21735849 45 -4.21735849 -4.18735849 46 -4.20735849 -4.21735849 47 -4.17735849 -4.20735849 48 -4.20735849 -4.17735849 49 2.47264151 -4.20735849 50 2.63264151 2.47264151 51 2.63264151 2.63264151 52 2.63264151 2.63264151 53 2.63264151 2.63264151 54 3.70264151 2.63264151 55 4.26264151 3.70264151 56 4.63264151 4.26264151 57 4.76264151 4.63264151 58 4.93264151 4.76264151 59 5.02264151 4.93264151 60 5.58264151 5.02264151 61 6.19264151 5.58264151 62 6.75264151 6.19264151 63 6.91264151 6.75264151 64 6.91264151 6.91264151 65 7.00264151 6.91264151 66 7.08264151 7.00264151 67 7.25264151 7.08264151 68 7.67264151 7.25264151 69 7.72264151 7.67264151 70 7.81264151 7.72264151 71 7.91264151 7.81264151 72 NA 7.91264151 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -0.14052632 -0.12052632 [2,] -0.12052632 -0.14052632 [3,] -0.11052632 -0.12052632 [4,] -0.11052632 -0.11052632 [5,] -0.11052632 -0.11052632 [6,] -0.12052632 -0.11052632 [7,] -0.10052632 -0.12052632 [8,] -0.05052632 -0.10052632 [9,] -0.05052632 -0.05052632 [10,] -0.05052632 -0.05052632 [11,] -0.05052632 -0.05052632 [12,] -0.01052632 -0.05052632 [13,] 0.09947368 -0.01052632 [14,] 0.05947368 0.09947368 [15,] 0.07947368 0.05947368 [16,] 0.16947368 0.07947368 [17,] 0.15947368 0.16947368 [18,] 0.57947368 0.15947368 [19,] -4.50735849 0.57947368 [20,] -4.35735849 -4.50735849 [21,] -4.24735849 -4.35735849 [22,] -4.16735849 -4.24735849 [23,] -4.13735849 -4.16735849 [24,] -4.17735849 -4.13735849 [25,] -4.18735849 -4.17735849 [26,] -4.07735849 -4.18735849 [27,] -4.07735849 -4.07735849 [28,] -4.11735849 -4.07735849 [29,] -4.17735849 -4.11735849 [30,] -4.11735849 -4.17735849 [31,] -4.09735849 -4.11735849 [32,] -4.13735849 -4.09735849 [33,] -4.08735849 -4.13735849 [34,] -4.08735849 -4.08735849 [35,] -4.08735849 -4.08735849 [36,] -4.13735849 -4.08735849 [37,] -4.13735849 -4.13735849 [38,] -4.12735849 -4.13735849 [39,] -4.12735849 -4.12735849 [40,] -4.18735849 -4.12735849 [41,] -4.17735849 -4.18735849 [42,] -4.17735849 -4.17735849 [43,] -4.21735849 -4.17735849 [44,] -4.18735849 -4.21735849 [45,] -4.21735849 -4.18735849 [46,] -4.20735849 -4.21735849 [47,] -4.17735849 -4.20735849 [48,] -4.20735849 -4.17735849 [49,] 2.47264151 -4.20735849 [50,] 2.63264151 2.47264151 [51,] 2.63264151 2.63264151 [52,] 2.63264151 2.63264151 [53,] 2.63264151 2.63264151 [54,] 3.70264151 2.63264151 [55,] 4.26264151 3.70264151 [56,] 4.63264151 4.26264151 [57,] 4.76264151 4.63264151 [58,] 4.93264151 4.76264151 [59,] 5.02264151 4.93264151 [60,] 5.58264151 5.02264151 [61,] 6.19264151 5.58264151 [62,] 6.75264151 6.19264151 [63,] 6.91264151 6.75264151 [64,] 6.91264151 6.91264151 [65,] 7.00264151 6.91264151 [66,] 7.08264151 7.00264151 [67,] 7.25264151 7.08264151 [68,] 7.67264151 7.25264151 [69,] 7.72264151 7.67264151 [70,] 7.81264151 7.72264151 [71,] 7.91264151 7.81264151 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -0.14052632 -0.12052632 2 -0.12052632 -0.14052632 3 -0.11052632 -0.12052632 4 -0.11052632 -0.11052632 5 -0.11052632 -0.11052632 6 -0.12052632 -0.11052632 7 -0.10052632 -0.12052632 8 -0.05052632 -0.10052632 9 -0.05052632 -0.05052632 10 -0.05052632 -0.05052632 11 -0.05052632 -0.05052632 12 -0.01052632 -0.05052632 13 0.09947368 -0.01052632 14 0.05947368 0.09947368 15 0.07947368 0.05947368 16 0.16947368 0.07947368 17 0.15947368 0.16947368 18 0.57947368 0.15947368 19 -4.50735849 0.57947368 20 -4.35735849 -4.50735849 21 -4.24735849 -4.35735849 22 -4.16735849 -4.24735849 23 -4.13735849 -4.16735849 24 -4.17735849 -4.13735849 25 -4.18735849 -4.17735849 26 -4.07735849 -4.18735849 27 -4.07735849 -4.07735849 28 -4.11735849 -4.07735849 29 -4.17735849 -4.11735849 30 -4.11735849 -4.17735849 31 -4.09735849 -4.11735849 32 -4.13735849 -4.09735849 33 -4.08735849 -4.13735849 34 -4.08735849 -4.08735849 35 -4.08735849 -4.08735849 36 -4.13735849 -4.08735849 37 -4.13735849 -4.13735849 38 -4.12735849 -4.13735849 39 -4.12735849 -4.12735849 40 -4.18735849 -4.12735849 41 -4.17735849 -4.18735849 42 -4.17735849 -4.17735849 43 -4.21735849 -4.17735849 44 -4.18735849 -4.21735849 45 -4.21735849 -4.18735849 46 -4.20735849 -4.21735849 47 -4.17735849 -4.20735849 48 -4.20735849 -4.17735849 49 2.47264151 -4.20735849 50 2.63264151 2.47264151 51 2.63264151 2.63264151 52 2.63264151 2.63264151 53 2.63264151 2.63264151 54 3.70264151 2.63264151 55 4.26264151 3.70264151 56 4.63264151 4.26264151 57 4.76264151 4.63264151 58 4.93264151 4.76264151 59 5.02264151 4.93264151 60 5.58264151 5.02264151 61 6.19264151 5.58264151 62 6.75264151 6.19264151 63 6.91264151 6.75264151 64 6.91264151 6.91264151 65 7.00264151 6.91264151 66 7.08264151 7.00264151 67 7.25264151 7.08264151 68 7.67264151 7.25264151 69 7.72264151 7.67264151 70 7.81264151 7.72264151 71 7.91264151 7.81264151 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/7vswx1259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/8kj0k1259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/988jg1259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/html/rcomp/tmp/10blz81259055402.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/111pn91259055402.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/124czp1259055402.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/1324qp1259055402.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/www/html/rcomp/tmp/14k2sk1259055402.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/www/html/rcomp/tmp/15d4h31259055402.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/www/html/rcomp/tmp/16gi241259055402.tab") + } > > system("convert tmp/1zkqd1259055402.ps tmp/1zkqd1259055402.png") > system("convert tmp/2t4sx1259055402.ps tmp/2t4sx1259055402.png") > system("convert tmp/36jhy1259055402.ps tmp/36jhy1259055402.png") > system("convert tmp/477am1259055402.ps tmp/477am1259055402.png") > system("convert tmp/5ij691259055402.ps tmp/5ij691259055402.png") > system("convert tmp/6vfd21259055402.ps tmp/6vfd21259055402.png") > system("convert tmp/7vswx1259055402.ps tmp/7vswx1259055402.png") > system("convert tmp/8kj0k1259055402.ps tmp/8kj0k1259055402.png") > system("convert tmp/988jg1259055402.ps tmp/988jg1259055402.png") > system("convert tmp/10blz81259055402.ps tmp/10blz81259055402.png") > > > proc.time() user system elapsed 2.561 1.548 3.484