R version 2.13.0 (2011-04-13) Copyright (C) 2011 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(11 + ,8 + ,7 + ,18 + ,12 + ,20 + ,4 + ,2 + ,16 + ,12 + ,9 + ,22 + ,14 + ,18 + ,5 + ,0 + ,24 + ,24 + ,19 + ,22 + ,25 + ,24 + ,4 + ,0 + ,15 + ,16 + ,12 + ,19 + ,15 + ,20 + ,4 + ,4 + ,17 + ,19 + ,16 + ,25 + ,20 + ,20 + ,9 + ,0 + ,19 + ,16 + ,17 + ,28 + ,21 + ,24 + ,8 + ,-1 + ,19 + ,15 + ,9 + ,16 + ,15 + ,21 + ,11 + ,0 + ,28 + ,28 + ,28 + ,28 + ,28 + ,28 + ,4 + ,1 + ,26 + ,21 + ,20 + ,21 + ,11 + ,10 + ,4 + ,0 + ,15 + ,18 + ,16 + ,22 + ,22 + ,22 + ,6 + ,3 + ,26 + ,22 + ,22 + ,24 + ,22 + ,19 + ,4 + ,-1 + ,24 + ,22 + ,12 + ,26 + ,24 + ,23 + ,4 + ,4 + ,25 + ,25 + ,18 + ,28 + ,23 + ,24 + ,4 + ,1 + ,22 + ,20 + ,20 + ,24 + ,24 + ,24 + ,11 + ,0 + ,15 + ,16 + ,12 + ,20 + ,21 + ,25 + ,4 + ,-2 + ,21 + ,19 + ,16 + ,26 + ,20 + ,24 + ,4 + ,-4 + ,27 + ,26 + ,21 + ,28 + ,25 + ,28 + ,6 + ,2 + ,26 + ,20 + ,17 + ,23 + ,24 + ,22 + ,8 + ,2 + ,22 + ,19 + ,17 + ,24 + ,21 + ,26 + ,5 + ,-4 + ,22 + ,23 + ,18 + ,22 + ,25 + ,21 + ,9 + ,2 + ,20 + ,18 + ,15 + ,21 + ,23 + ,26 + ,4 + ,2 + ,21 + ,16 + ,20 + ,25 + ,20 + ,23 + ,7 + ,0 + ,22 + ,21 + ,21 + ,21 + ,22 + ,24 + ,4 + ,-3 + ,21 + ,20 + ,12 + ,26 + ,25 + ,25 + ,4 + ,2 + ,8 + ,15 + ,6 + ,23 + ,23 + ,24 + ,7 + ,0 + ,22 + ,19 + ,13 + ,21 + ,19 + ,20 + ,12 + ,4 + ,20 + ,19 + ,19 + ,27 + ,21 + ,24 + ,7 + ,2 + ,17 + ,20 + ,14 + ,23 + ,25 + ,23 + ,8 + ,2 + ,23 + ,19 + ,12 + ,23 + ,24 + ,23 + ,4 + ,-4 + ,20 + ,19 + ,17 + ,19 + ,24 + ,21 + ,9 + ,3 + ,20 + ,19 + ,9 + ,23 + ,21 + ,21 + ,4 + ,3 + ,19 + ,18 + ,10 + ,24 + ,28 + ,24 + ,4 + ,2 + ,22 + ,17 + ,11 + ,27 + ,18 + ,23 + ,4 + ,-1 + ,18 + ,22 + ,16 + ,25 + ,26 + ,24 + ,4 + ,-3 + ,18 + ,14 + ,11 + ,24 + ,12 + ,24 + ,4 + ,3 + ,23 + ,24 + ,20 + ,28 + ,20 + ,25 + ,4 + ,0 + ,24 + ,21 + ,17 + ,20 + ,20 + ,23 + ,4 + ,0 + ,23 + ,20 + ,14 + ,19 + ,24 + ,27 + ,4 + ,0 + ,20 + ,18 + ,16 + ,21 + ,22 + ,23 + ,12 + ,3 + ,22 + ,24 + ,15 + ,18 + ,23 + ,23 + ,4 + ,0 + ,22 + ,19 + ,15 + ,27 + ,19 + ,24 + ,5 + ,2 + ,15 + ,16 + ,10 + ,25 + ,24 + ,26 + ,15 + ,-1 + ,19 + ,16 + ,18 + ,21 + ,16 + ,23 + ,10 + ,3 + ,21 + ,15 + ,10 + ,27 + ,19 + ,20 + ,5 + ,2 + ,20 + ,15 + ,16 + ,23 + ,18 + ,18 + ,9 + ,2 + ,18 + ,14 + ,5 + ,27 + ,25 + ,26 + ,4 + ,-2 + ,16 + ,16 + ,10 + ,25 + ,17 + ,25 + ,7 + ,0 + ,17 + ,13 + ,8 + ,19 + ,17 + ,23 + ,5 + ,-2 + ,24 + ,26 + ,16 + ,24 + ,24 + ,18 + ,4 + ,0 + ,19 + ,18 + ,16 + ,23 + ,22 + ,26 + ,4 + ,6 + ,24 + ,21 + ,24 + ,24 + ,20 + ,23 + ,8 + ,-3 + ,19 + ,19 + ,18 + ,22 + ,19 + ,20 + ,5 + ,3 + ,20 + ,15 + ,14 + ,23 + ,18 + ,25 + ,4 + ,0 + ,19 + ,21 + ,9 + ,26 + ,20 + ,26 + ,4 + ,-2 + ,21 + ,17 + ,21 + ,26 + ,21 + ,24 + ,6 + ,1 + ,15 + ,18 + ,7 + ,16 + ,21 + ,22 + ,10 + ,0 + ,22 + ,25 + ,16 + ,25 + ,25 + ,28 + ,4 + ,2 + ,14 + ,12 + ,8 + ,20 + ,21 + ,24 + ,11 + ,2 + ,11 + ,16 + ,5 + ,20 + ,22 + ,23 + ,14 + ,-3 + ,16 + ,11 + ,10 + ,19 + ,12 + ,17 + ,11 + ,-2 + ,22 + ,23 + ,22 + ,24 + ,24 + ,23 + ,4 + ,1 + ,25 + ,19 + ,17 + ,27 + ,18 + ,27 + ,4 + ,-4 + ,22 + ,18 + ,20 + ,23 + ,19 + ,24 + ,5 + ,1 + ,22 + ,23 + ,18 + ,24 + ,22 + ,23 + ,4 + ,0) + ,dim=c(8 + ,64) + ,dimnames=list(c('I1' + ,'I2' + ,'I3' + ,'E1' + ,'E2' + ,'E3' + ,'A' + ,'test') + ,1:64)) > y <- array(NA,dim=c(8,64),dimnames=list(c('I1','I2','I3','E1','E2','E3','A','test'),1:64)) > 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 = '8' > library(lattice) > library(lmtest) Loading required package: zoo > 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 test I1 I2 I3 E1 E2 E3 A 1 2 11 8 7 18 12 20 4 2 0 16 12 9 22 14 18 5 3 0 24 24 19 22 25 24 4 4 4 15 16 12 19 15 20 4 5 0 17 19 16 25 20 20 9 6 -1 19 16 17 28 21 24 8 7 0 19 15 9 16 15 21 11 8 1 28 28 28 28 28 28 4 9 0 26 21 20 21 11 10 4 10 3 15 18 16 22 22 22 6 11 -1 26 22 22 24 22 19 4 12 4 24 22 12 26 24 23 4 13 1 25 25 18 28 23 24 4 14 0 22 20 20 24 24 24 11 15 -2 15 16 12 20 21 25 4 16 -4 21 19 16 26 20 24 4 17 2 27 26 21 28 25 28 6 18 2 26 20 17 23 24 22 8 19 -4 22 19 17 24 21 26 5 20 2 22 23 18 22 25 21 9 21 2 20 18 15 21 23 26 4 22 0 21 16 20 25 20 23 7 23 -3 22 21 21 21 22 24 4 24 2 21 20 12 26 25 25 4 25 0 8 15 6 23 23 24 7 26 4 22 19 13 21 19 20 12 27 2 20 19 19 27 21 24 7 28 2 17 20 14 23 25 23 8 29 -4 23 19 12 23 24 23 4 30 3 20 19 17 19 24 21 9 31 3 20 19 9 23 21 21 4 32 2 19 18 10 24 28 24 4 33 -1 22 17 11 27 18 23 4 34 -3 18 22 16 25 26 24 4 35 3 18 14 11 24 12 24 4 36 0 23 24 20 28 20 25 4 37 0 24 21 17 20 20 23 4 38 0 23 20 14 19 24 27 4 39 3 20 18 16 21 22 23 12 40 0 22 24 15 18 23 23 4 41 2 22 19 15 27 19 24 5 42 -1 15 16 10 25 24 26 15 43 3 19 16 18 21 16 23 10 44 2 21 15 10 27 19 20 5 45 2 20 15 16 23 18 18 9 46 -2 18 14 5 27 25 26 4 47 0 16 16 10 25 17 25 7 48 -2 17 13 8 19 17 23 5 49 0 24 26 16 24 24 18 4 50 6 19 18 16 23 22 26 4 51 -3 24 21 24 24 20 23 8 52 3 19 19 18 22 19 20 5 53 0 20 15 14 23 18 25 4 54 -2 19 21 9 26 20 26 4 55 1 21 17 21 26 21 24 6 56 0 15 18 7 16 21 22 10 57 2 22 25 16 25 25 28 4 58 2 14 12 8 20 21 24 11 59 -3 11 16 5 20 22 23 14 60 -2 16 11 10 19 12 17 11 61 1 22 23 22 24 24 23 4 62 -4 25 19 17 27 18 27 4 63 1 22 18 20 23 19 24 5 64 0 22 23 18 24 22 23 4 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) I1 I2 I3 E1 E2 3.008163 -0.045858 -0.005679 0.048702 -0.042152 0.063303 E3 A -0.114411 0.008825 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -4.3836 -1.3416 -0.0423 1.6701 5.7024 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 3.008163 3.393137 0.887 0.379 I1 -0.045858 0.130539 -0.351 0.727 I2 -0.005679 0.150675 -0.038 0.970 I3 0.048702 0.091381 0.533 0.596 E1 -0.042152 0.115508 -0.365 0.717 E2 0.063303 0.122055 0.519 0.606 E3 -0.114411 0.125135 -0.914 0.364 A 0.008825 0.114358 0.077 0.939 Residual standard error: 2.347 on 56 degrees of freedom Multiple R-squared: 0.02999, Adjusted R-squared: -0.09127 F-statistic: 0.2473 on 7 and 56 DF, p-value: 0.971 > 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,] 0.0381760 0.0763520 0.9618240 [2,] 0.1653939 0.3307878 0.8346061 [3,] 0.1434619 0.2869237 0.8565381 [4,] 0.1141906 0.2283812 0.8858094 [5,] 0.3470297 0.6940594 0.6529703 [6,] 0.5752779 0.8494442 0.4247221 [7,] 0.5384969 0.9230062 0.4615031 [8,] 0.4976201 0.9952402 0.5023799 [9,] 0.5823437 0.8353126 0.4176563 [10,] 0.4951272 0.9902544 0.5048728 [11,] 0.4469380 0.8938760 0.5530620 [12,] 0.4011134 0.8022268 0.5988866 [13,] 0.4629606 0.9259211 0.5370394 [14,] 0.3968257 0.7936514 0.6031743 [15,] 0.3942090 0.7884180 0.6057910 [16,] 0.4649516 0.9299033 0.5350484 [17,] 0.4446545 0.8893091 0.5553455 [18,] 0.3687591 0.7375181 0.6312409 [19,] 0.5694148 0.8611704 0.4305852 [20,] 0.5307115 0.9385770 0.4692885 [21,] 0.5375604 0.9248792 0.4624396 [22,] 0.4811841 0.9623683 0.5188159 [23,] 0.4041649 0.8083299 0.5958351 [24,] 0.6026617 0.7946766 0.3973383 [25,] 0.6778967 0.6442067 0.3221033 [26,] 0.5997429 0.8005141 0.4002571 [27,] 0.5171441 0.9657119 0.4828559 [28,] 0.4325141 0.8650281 0.5674859 [29,] 0.4818787 0.9637574 0.5181213 [30,] 0.4044816 0.8089631 0.5955184 [31,] 0.4186055 0.8372110 0.5813945 [32,] 0.4012009 0.8024019 0.5987991 [33,] 0.5064834 0.9870332 0.4935166 [34,] 0.5901787 0.8196426 0.4098213 [35,] 0.7011622 0.5976756 0.2988378 [36,] 0.6768344 0.6463312 0.3231656 [37,] 0.6055243 0.7889514 0.3944757 [38,] 0.8380163 0.3239675 0.1619837 [39,] 0.8007090 0.3985820 0.1992910 [40,] 0.8587003 0.2825995 0.1412997 [41,] 0.7867174 0.4265652 0.2132826 [42,] 0.7250412 0.5499176 0.2749588 [43,] 0.6656448 0.6687103 0.3343552 > postscript(file="/var/wessaorg/rcomp/tmp/1jfxy1324169216.ps",horizontal=F,onefile=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/wessaorg/rcomp/tmp/2p4b11324169216.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3k2gp1324169216.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/483gi1324169216.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5yc8k1324169216.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 = 64 Frequency = 1 1 2 3 4 5 6 1.45281952 -0.58821959 -0.64126610 3.29041864 -0.90335928 -1.34775844 7 8 9 10 11 12 -0.45954254 0.64721653 -1.37294906 2.00147860 -2.00485160 3.80578875 13 14 15 16 17 18 0.83849222 -0.71856573 -2.47519269 -4.17600644 2.10317031 1.36647317 19 20 21 22 23 24 -4.10646066 0.92268360 1.64930917 -0.57088632 -3.69966575 1.82237483 25 26 27 28 29 30 -0.65070462 3.34025591 1.58440548 1.15096048 -4.38356272 1.79379947 31 32 33 34 35 36 2.58605402 1.42807988 -0.84365047 -3.71851481 3.32365080 -0.05198700 37 38 39 40 41 42 -0.44310025 -0.18625371 2.25007942 -0.69459101 2.01518376 -1.33959943 43 44 45 46 47 48 2.49292746 1.73247553 1.02498060 -1.85179867 0.10556719 -2.23229316 49 50 51 52 53 54 -1.02266068 5.70235682 -3.65070112 2.06309968 -0.03261716 -1.68663363 55 56 57 58 59 60 0.48817590 -0.78511830 2.00290027 1.47485547 -3.69808833 -2.80981109 61 62 63 64 0.14843076 -3.52928449 0.59738803 -0.53015741 > postscript(file="/var/wessaorg/rcomp/tmp/69z2u1324169216.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 64 Frequency = 1 lag(myerror, k = 1) myerror 0 1.45281952 NA 1 -0.58821959 1.45281952 2 -0.64126610 -0.58821959 3 3.29041864 -0.64126610 4 -0.90335928 3.29041864 5 -1.34775844 -0.90335928 6 -0.45954254 -1.34775844 7 0.64721653 -0.45954254 8 -1.37294906 0.64721653 9 2.00147860 -1.37294906 10 -2.00485160 2.00147860 11 3.80578875 -2.00485160 12 0.83849222 3.80578875 13 -0.71856573 0.83849222 14 -2.47519269 -0.71856573 15 -4.17600644 -2.47519269 16 2.10317031 -4.17600644 17 1.36647317 2.10317031 18 -4.10646066 1.36647317 19 0.92268360 -4.10646066 20 1.64930917 0.92268360 21 -0.57088632 1.64930917 22 -3.69966575 -0.57088632 23 1.82237483 -3.69966575 24 -0.65070462 1.82237483 25 3.34025591 -0.65070462 26 1.58440548 3.34025591 27 1.15096048 1.58440548 28 -4.38356272 1.15096048 29 1.79379947 -4.38356272 30 2.58605402 1.79379947 31 1.42807988 2.58605402 32 -0.84365047 1.42807988 33 -3.71851481 -0.84365047 34 3.32365080 -3.71851481 35 -0.05198700 3.32365080 36 -0.44310025 -0.05198700 37 -0.18625371 -0.44310025 38 2.25007942 -0.18625371 39 -0.69459101 2.25007942 40 2.01518376 -0.69459101 41 -1.33959943 2.01518376 42 2.49292746 -1.33959943 43 1.73247553 2.49292746 44 1.02498060 1.73247553 45 -1.85179867 1.02498060 46 0.10556719 -1.85179867 47 -2.23229316 0.10556719 48 -1.02266068 -2.23229316 49 5.70235682 -1.02266068 50 -3.65070112 5.70235682 51 2.06309968 -3.65070112 52 -0.03261716 2.06309968 53 -1.68663363 -0.03261716 54 0.48817590 -1.68663363 55 -0.78511830 0.48817590 56 2.00290027 -0.78511830 57 1.47485547 2.00290027 58 -3.69808833 1.47485547 59 -2.80981109 -3.69808833 60 0.14843076 -2.80981109 61 -3.52928449 0.14843076 62 0.59738803 -3.52928449 63 -0.53015741 0.59738803 64 NA -0.53015741 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -0.58821959 1.45281952 [2,] -0.64126610 -0.58821959 [3,] 3.29041864 -0.64126610 [4,] -0.90335928 3.29041864 [5,] -1.34775844 -0.90335928 [6,] -0.45954254 -1.34775844 [7,] 0.64721653 -0.45954254 [8,] -1.37294906 0.64721653 [9,] 2.00147860 -1.37294906 [10,] -2.00485160 2.00147860 [11,] 3.80578875 -2.00485160 [12,] 0.83849222 3.80578875 [13,] -0.71856573 0.83849222 [14,] -2.47519269 -0.71856573 [15,] -4.17600644 -2.47519269 [16,] 2.10317031 -4.17600644 [17,] 1.36647317 2.10317031 [18,] -4.10646066 1.36647317 [19,] 0.92268360 -4.10646066 [20,] 1.64930917 0.92268360 [21,] -0.57088632 1.64930917 [22,] -3.69966575 -0.57088632 [23,] 1.82237483 -3.69966575 [24,] -0.65070462 1.82237483 [25,] 3.34025591 -0.65070462 [26,] 1.58440548 3.34025591 [27,] 1.15096048 1.58440548 [28,] -4.38356272 1.15096048 [29,] 1.79379947 -4.38356272 [30,] 2.58605402 1.79379947 [31,] 1.42807988 2.58605402 [32,] -0.84365047 1.42807988 [33,] -3.71851481 -0.84365047 [34,] 3.32365080 -3.71851481 [35,] -0.05198700 3.32365080 [36,] -0.44310025 -0.05198700 [37,] -0.18625371 -0.44310025 [38,] 2.25007942 -0.18625371 [39,] -0.69459101 2.25007942 [40,] 2.01518376 -0.69459101 [41,] -1.33959943 2.01518376 [42,] 2.49292746 -1.33959943 [43,] 1.73247553 2.49292746 [44,] 1.02498060 1.73247553 [45,] -1.85179867 1.02498060 [46,] 0.10556719 -1.85179867 [47,] -2.23229316 0.10556719 [48,] -1.02266068 -2.23229316 [49,] 5.70235682 -1.02266068 [50,] -3.65070112 5.70235682 [51,] 2.06309968 -3.65070112 [52,] -0.03261716 2.06309968 [53,] -1.68663363 -0.03261716 [54,] 0.48817590 -1.68663363 [55,] -0.78511830 0.48817590 [56,] 2.00290027 -0.78511830 [57,] 1.47485547 2.00290027 [58,] -3.69808833 1.47485547 [59,] -2.80981109 -3.69808833 [60,] 0.14843076 -2.80981109 [61,] -3.52928449 0.14843076 [62,] 0.59738803 -3.52928449 [63,] -0.53015741 0.59738803 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -0.58821959 1.45281952 2 -0.64126610 -0.58821959 3 3.29041864 -0.64126610 4 -0.90335928 3.29041864 5 -1.34775844 -0.90335928 6 -0.45954254 -1.34775844 7 0.64721653 -0.45954254 8 -1.37294906 0.64721653 9 2.00147860 -1.37294906 10 -2.00485160 2.00147860 11 3.80578875 -2.00485160 12 0.83849222 3.80578875 13 -0.71856573 0.83849222 14 -2.47519269 -0.71856573 15 -4.17600644 -2.47519269 16 2.10317031 -4.17600644 17 1.36647317 2.10317031 18 -4.10646066 1.36647317 19 0.92268360 -4.10646066 20 1.64930917 0.92268360 21 -0.57088632 1.64930917 22 -3.69966575 -0.57088632 23 1.82237483 -3.69966575 24 -0.65070462 1.82237483 25 3.34025591 -0.65070462 26 1.58440548 3.34025591 27 1.15096048 1.58440548 28 -4.38356272 1.15096048 29 1.79379947 -4.38356272 30 2.58605402 1.79379947 31 1.42807988 2.58605402 32 -0.84365047 1.42807988 33 -3.71851481 -0.84365047 34 3.32365080 -3.71851481 35 -0.05198700 3.32365080 36 -0.44310025 -0.05198700 37 -0.18625371 -0.44310025 38 2.25007942 -0.18625371 39 -0.69459101 2.25007942 40 2.01518376 -0.69459101 41 -1.33959943 2.01518376 42 2.49292746 -1.33959943 43 1.73247553 2.49292746 44 1.02498060 1.73247553 45 -1.85179867 1.02498060 46 0.10556719 -1.85179867 47 -2.23229316 0.10556719 48 -1.02266068 -2.23229316 49 5.70235682 -1.02266068 50 -3.65070112 5.70235682 51 2.06309968 -3.65070112 52 -0.03261716 2.06309968 53 -1.68663363 -0.03261716 54 0.48817590 -1.68663363 55 -0.78511830 0.48817590 56 2.00290027 -0.78511830 57 1.47485547 2.00290027 58 -3.69808833 1.47485547 59 -2.80981109 -3.69808833 60 0.14843076 -2.80981109 61 -3.52928449 0.14843076 62 0.59738803 -3.52928449 63 -0.53015741 0.59738803 > 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/wessaorg/rcomp/tmp/7kwtf1324169216.ps",horizontal=F,onefile=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/wessaorg/rcomp/tmp/8lie41324169216.ps",horizontal=F,onefile=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/wessaorg/rcomp/tmp/9yb3n1324169216.ps",horizontal=F,onefile=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/wessaorg/rcomp/tmp/10ffp01324169217.ps",horizontal=F,onefile=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/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11h6pq1324169217.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12a5881324169217.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13hgsr1324169217.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/14fvm01324169217.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/wessaorg/rcomp/tmp/15rfgc1324169217.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/wessaorg/rcomp/tmp/16yuhw1324169217.tab") + } > > try(system("convert tmp/1jfxy1324169216.ps tmp/1jfxy1324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/2p4b11324169216.ps tmp/2p4b11324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/3k2gp1324169216.ps tmp/3k2gp1324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/483gi1324169216.ps tmp/483gi1324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/5yc8k1324169216.ps tmp/5yc8k1324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/69z2u1324169216.ps tmp/69z2u1324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/7kwtf1324169216.ps tmp/7kwtf1324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/8lie41324169216.ps tmp/8lie41324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/9yb3n1324169216.ps tmp/9yb3n1324169216.png",intern=TRUE)) character(0) > try(system("convert tmp/10ffp01324169217.ps tmp/10ffp01324169217.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.251 0.584 3.873