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(96560 + ,76 + ,129 + ,17 + ,22996 + ,0 + ,0 + ,78 + ,62 + ,72 + ,112611 + ,41 + ,36 + ,20 + ,26706 + ,3 + ,7 + ,44 + ,56 + ,64 + ,98146 + ,40 + ,37 + ,17 + ,27114 + ,0 + ,1 + ,80 + ,49 + ,66 + ,121848 + ,39 + ,45 + ,17 + ,30594 + ,2 + ,0 + ,73 + ,63 + ,78 + ,31774 + ,23 + ,48 + ,17 + ,4143 + ,1 + ,2 + ,107 + ,67 + ,71 + ,65475 + ,18 + ,24 + ,13 + ,69008 + ,1 + ,0 + ,42 + ,59 + ,71 + ,108446 + ,60 + ,90 + ,17 + ,46300 + ,0 + ,2 + ,76 + ,40 + ,59 + ,76302 + ,31 + ,26 + ,20 + ,30976 + ,2 + ,2 + ,69 + ,34 + ,65 + ,30989 + ,14 + ,35 + ,17 + ,4154 + ,-2 + ,0 + ,62 + ,37 + ,48 + ,150580 + ,77 + ,124 + ,22 + ,45588 + ,-4 + ,0 + ,46 + ,61 + ,72 + ,59382 + ,49 + ,49 + ,12 + ,26263 + ,1 + ,0 + ,133 + ,60 + ,66 + ,341570 + ,168 + ,190 + ,21 + ,117105 + ,0 + ,0 + ,71 + ,57 + ,68 + ,133328 + ,55 + ,79 + ,20 + ,40909 + ,-3 + ,0 + ,46 + ,56 + ,75 + ,101523 + ,42 + ,76 + ,22 + ,61056 + ,0 + ,1 + ,131 + ,67 + ,73 + ,92499 + ,32 + ,57 + ,18 + ,21399 + ,-2 + ,2 + ,47 + ,38 + ,59 + ,118612 + ,46 + ,72 + ,12 + ,30080 + ,-2 + ,0 + ,15 + ,49 + ,72 + ,98104 + ,54 + ,132 + ,17 + ,25568 + ,-3 + ,0 + ,37 + ,32 + ,65 + ,84105 + ,20 + ,45 + ,17 + ,20055 + ,0 + ,1 + ,0 + ,63 + ,69 + ,237213 + ,84 + ,74 + ,38 + ,66198 + ,0 + ,3 + ,79 + ,67 + ,71 + ,133131 + ,55 + ,52 + ,30 + ,57793 + ,4 + ,3 + ,77 + ,43 + ,54 + ,344297 + ,75 + ,86 + ,30 + ,67654 + ,1 + ,5 + ,101 + ,84 + ,84 + ,174415 + ,100 + ,63 + ,31 + ,82753 + ,3 + ,0 + ,105 + ,49 + ,66 + ,294424 + ,77 + ,59 + ,33 + ,101494 + ,4 + ,2 + ,124 + ,58 + ,73 + ,362301 + ,119 + ,715 + ,34 + ,100708 + ,2 + ,0 + ,83 + ,63 + ,69 + ,167488 + ,45 + ,77 + ,28 + ,83737 + ,0 + ,0 + ,106 + ,29 + ,70 + ,152299 + ,53 + ,63 + ,33 + ,61370 + ,2 + ,2 + ,25 + ,58 + ,72 + ,243511 + ,71 + ,65 + ,42 + ,101338 + ,0 + ,2 + ,16 + ,62 + ,63 + ,132487 + ,41 + ,97 + ,36 + ,40735 + ,3 + ,1 + ,22 + ,54 + ,66 + ,172494 + ,52 + ,52 + ,43 + ,86687 + ,3 + ,0 + ,29 + ,53 + ,60 + ,224330 + ,83 + ,52 + ,39 + ,130115 + ,0 + ,0 + ,5 + ,66 + ,66 + ,181633 + ,70 + ,48 + ,30 + ,64466 + ,6 + ,0 + ,27 + ,53 + ,71 + ,210907 + ,56 + ,81 + ,30 + ,112285 + ,2 + ,0 + ,29 + ,26 + ,50 + ,236785 + ,119 + ,75 + ,31 + ,101481 + ,0 + ,5 + ,43 + ,43 + ,52 + ,244052 + ,68 + ,66 + ,44 + ,143558 + ,2 + ,0 + ,158 + ,53 + ,70 + ,143756 + ,46 + ,57 + ,34 + ,69094 + ,4 + ,4 + ,102 + ,54 + ,60 + ,182079 + ,63 + ,63 + ,33 + ,102860 + ,2 + ,0 + ,123 + ,47 + ,76 + ,100750 + ,72 + ,67 + ,30 + ,140867 + ,3 + ,0 + ,105 + ,43 + ,60 + ,152474 + ,65 + ,45 + ,32 + ,65567 + ,0 + ,1 + ,33 + ,57 + ,70 + ,97839 + ,38 + ,42 + ,24 + ,94785 + ,-1 + ,2 + ,96 + ,41 + ,75 + ,149061 + ,44 + ,66 + ,26 + ,116174 + ,0 + ,6 + ,56 + ,37 + ,54 + ,324799 + ,154 + ,108 + ,47 + ,97668 + ,0 + ,5 + ,59 + ,52 + ,65 + ,230964 + ,53 + ,43 + ,30 + ,133824 + ,-1 + ,0 + ,91 + ,52 + ,73 + ,174724 + ,92 + ,135 + ,34 + ,69112 + ,0 + ,1 + ,76 + ,67 + ,42 + ,223632 + ,73 + ,52 + ,33 + ,72654 + ,-1 + ,1 + ,94 + ,70 + ,65 + ,106408 + ,30 + ,32 + ,14 + ,31081 + ,1 + ,2 + ,41 + ,68 + ,75 + ,265769 + ,146 + ,37 + ,32 + ,83122 + ,-2 + ,5 + ,67 + ,43 + ,66 + ,149112 + ,56 + ,65 + ,35 + ,60578 + ,-4 + ,2 + ,100 + ,56 + ,70 + ,152871 + ,58 + ,74 + ,28 + ,79892 + ,2 + ,5 + ,67 + ,74 + ,81 + ,183167 + ,66 + ,66 + ,39 + ,82875 + ,-4 + ,1 + ,135 + ,58 + ,71 + ,218946 + ,41 + ,112 + ,29 + ,80670 + ,2 + ,4 + ,58 + ,63 + ,68 + ,196553 + ,57 + ,50 + ,29 + ,95260 + ,-3 + ,0 + ,56 + ,64 + ,67 + ,143246 + ,103 + ,42 + ,27 + ,106671 + ,2 + ,0 + ,59 + ,53 + ,76 + ,193339 + ,78 + ,47 + ,35 + ,84651 + ,2 + ,1 + ,116 + ,51 + ,71 + ,130585 + ,46 + ,57 + ,29 + ,95364 + ,-4 + ,2 + ,98 + ,54 + ,70 + ,148446 + ,91 + ,63 + ,37 + ,126846 + ,3 + ,8 + ,32 + ,48 + ,65 + ,243060 + ,63 + ,110 + ,29 + ,111813 + ,-1 + ,4 + ,63 + ,50 + ,68 + ,317394 + ,86 + ,53 + ,31 + ,91413 + ,-3 + ,0 + ,113 + ,45 + ,70 + ,244749 + ,95 + ,144 + ,33 + ,76643 + ,0 + ,1 + ,111 + ,61 + ,64 + ,128423 + ,64 + ,89 + ,38 + ,92696 + ,2 + ,10 + ,120 + ,56 + ,70 + ,229242 + ,247 + ,128 + ,31 + ,91721 + ,2 + ,0 + ,25 + ,46 + ,66 + ,324598 + ,110 + ,128 + ,37 + ,135777 + ,2 + ,1 + ,109 + ,51 + ,59 + ,195838 + ,67 + ,50 + ,31 + ,102372 + ,-2 + ,0 + ,37 + ,37 + ,78 + ,254488 + ,83 + ,50 + ,39 + ,103772 + ,0 + ,2 + ,54 + ,42 + ,67 + ,271856 + ,103 + ,91 + ,37 + ,54990 + ,-3 + ,2 + ,55 + ,69 + ,67 + ,95227 + ,34 + ,70 + ,32 + ,34777 + ,3 + ,0 + ,17 + ,56 + ,61) + ,dim=c(10 + ,65) + ,dimnames=list(c('tijd' + ,'login' + ,'vieuws' + ,'revieuws' + ,'size' + ,'test' + ,'shared' + ,'blogged' + ,'intrisieke' + ,'extrisieke') + ,1:65)) > y <- array(NA,dim=c(10,65),dimnames=list(c('tijd','login','vieuws','revieuws','size','test','shared','blogged','intrisieke','extrisieke'),1:65)) > 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 = '6' > #'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 > 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 tijd login vieuws revieuws size shared blogged intrisieke 1 0 96560 76 129 17 22996 0 78 62 2 3 112611 41 36 20 26706 7 44 56 3 0 98146 40 37 17 27114 1 80 49 4 2 121848 39 45 17 30594 0 73 63 5 1 31774 23 48 17 4143 2 107 67 6 1 65475 18 24 13 69008 0 42 59 7 0 108446 60 90 17 46300 2 76 40 8 2 76302 31 26 20 30976 2 69 34 9 -2 30989 14 35 17 4154 0 62 37 10 -4 150580 77 124 22 45588 0 46 61 11 1 59382 49 49 12 26263 0 133 60 12 0 341570 168 190 21 117105 0 71 57 13 -3 133328 55 79 20 40909 0 46 56 14 0 101523 42 76 22 61056 1 131 67 15 -2 92499 32 57 18 21399 2 47 38 16 -2 118612 46 72 12 30080 0 15 49 17 -3 98104 54 132 17 25568 0 37 32 18 0 84105 20 45 17 20055 1 0 63 19 0 237213 84 74 38 66198 3 79 67 20 4 133131 55 52 30 57793 3 77 43 21 1 344297 75 86 30 67654 5 101 84 22 3 174415 100 63 31 82753 0 105 49 23 4 294424 77 59 33 101494 2 124 58 24 2 362301 119 715 34 100708 0 83 63 25 0 167488 45 77 28 83737 0 106 29 26 2 152299 53 63 33 61370 2 25 58 27 0 243511 71 65 42 101338 2 16 62 28 3 132487 41 97 36 40735 1 22 54 29 3 172494 52 52 43 86687 0 29 53 30 0 224330 83 52 39 130115 0 5 66 31 6 181633 70 48 30 64466 0 27 53 32 2 210907 56 81 30 112285 0 29 26 33 0 236785 119 75 31 101481 5 43 43 34 2 244052 68 66 44 143558 0 158 53 35 4 143756 46 57 34 69094 4 102 54 36 2 182079 63 63 33 102860 0 123 47 37 3 100750 72 67 30 140867 0 105 43 38 0 152474 65 45 32 65567 1 33 57 39 -1 97839 38 42 24 94785 2 96 41 40 0 149061 44 66 26 116174 6 56 37 41 0 324799 154 108 47 97668 5 59 52 42 -1 230964 53 43 30 133824 0 91 52 43 0 174724 92 135 34 69112 1 76 67 44 -1 223632 73 52 33 72654 1 94 70 45 1 106408 30 32 14 31081 2 41 68 46 -2 265769 146 37 32 83122 5 67 43 47 -4 149112 56 65 35 60578 2 100 56 48 2 152871 58 74 28 79892 5 67 74 49 -4 183167 66 66 39 82875 1 135 58 50 2 218946 41 112 29 80670 4 58 63 51 -3 196553 57 50 29 95260 0 56 64 52 2 143246 103 42 27 106671 0 59 53 53 2 193339 78 47 35 84651 1 116 51 54 -4 130585 46 57 29 95364 2 98 54 55 3 148446 91 63 37 126846 8 32 48 56 -1 243060 63 110 29 111813 4 63 50 57 -3 317394 86 53 31 91413 0 113 45 58 0 244749 95 144 33 76643 1 111 61 59 2 128423 64 89 38 92696 10 120 56 60 2 229242 247 128 31 91721 0 25 46 61 2 324598 110 128 37 135777 1 109 51 62 -2 195838 67 50 31 102372 0 37 37 63 0 254488 83 50 39 103772 2 54 42 64 -3 271856 103 91 37 54990 2 55 69 65 3 95227 34 70 32 34777 0 17 56 extrisieke 1 72 2 64 3 66 4 78 5 71 6 71 7 59 8 65 9 48 10 72 11 66 12 68 13 75 14 73 15 59 16 72 17 65 18 69 19 71 20 54 21 84 22 66 23 73 24 69 25 70 26 72 27 63 28 66 29 60 30 66 31 71 32 50 33 52 34 70 35 60 36 76 37 60 38 70 39 75 40 54 41 65 42 73 43 42 44 65 45 75 46 66 47 70 48 81 49 71 50 68 51 67 52 76 53 71 54 70 55 65 56 68 57 70 58 64 59 70 60 66 61 59 62 78 63 67 64 67 65 61 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) tijd login vieuws revieuws size -6.075e-01 -9.729e-06 2.354e-03 3.110e-03 4.835e-02 1.237e-05 shared blogged intrisieke extrisieke 1.243e-01 -1.823e-03 1.976e-02 -1.686e-02 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -4.9461 -1.4097 -0.0083 1.4743 6.0118 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -6.075e-01 2.991e+00 -0.203 0.840 tijd -9.729e-06 6.603e-06 -1.473 0.146 login 2.354e-03 1.042e-02 0.226 0.822 vieuws 3.110e-03 3.898e-03 0.798 0.428 revieuws 4.835e-02 5.153e-02 0.938 0.352 size 1.237e-05 1.263e-05 0.980 0.332 shared 1.243e-01 1.368e-01 0.909 0.367 blogged -1.823e-03 8.279e-03 -0.220 0.827 intrisieke 1.976e-02 3.071e-02 0.643 0.523 extrisieke -1.686e-02 4.425e-02 -0.381 0.705 Residual standard error: 2.333 on 55 degrees of freedom Multiple R-squared: 0.09188, Adjusted R-squared: -0.05672 F-statistic: 0.6183 on 9 and 55 DF, p-value: 0.7763 > 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,] 0.40279121 0.80558242 0.5972088 [2,] 0.24451689 0.48903377 0.7554831 [3,] 0.18522125 0.37044251 0.8147787 [4,] 0.11681381 0.23362762 0.8831862 [5,] 0.07587613 0.15175226 0.9241239 [6,] 0.07472314 0.14944628 0.9252769 [7,] 0.04056160 0.08112321 0.9594384 [8,] 0.08738981 0.17477962 0.9126102 [9,] 0.06281498 0.12562996 0.9371850 [10,] 0.04089031 0.08178062 0.9591097 [11,] 0.06281137 0.12562275 0.9371886 [12,] 0.20112450 0.40224901 0.7988755 [13,] 0.16696094 0.33392188 0.8330391 [14,] 0.12864155 0.25728309 0.8713585 [15,] 0.10529946 0.21059891 0.8947005 [16,] 0.12813965 0.25627929 0.8718604 [17,] 0.10027830 0.20055660 0.8997217 [18,] 0.08422503 0.16845006 0.9157750 [19,] 0.47481782 0.94963564 0.5251822 [20,] 0.41764694 0.83529387 0.5823531 [21,] 0.36157825 0.72315650 0.6384218 [22,] 0.36011634 0.72023269 0.6398837 [23,] 0.45420646 0.90841292 0.5457935 [24,] 0.46213206 0.92426411 0.5378679 [25,] 0.42784671 0.85569343 0.5721533 [26,] 0.35229213 0.70458425 0.6477079 [27,] 0.31757543 0.63515085 0.6824246 [28,] 0.27127302 0.54254605 0.7287270 [29,] 0.22015344 0.44030687 0.7798466 [30,] 0.18110886 0.36221772 0.8188911 [31,] 0.15739738 0.31479475 0.8426026 [32,] 0.12600722 0.25201444 0.8739928 [33,] 0.09870729 0.19741458 0.9012927 [34,] 0.07225829 0.14451658 0.9277417 [35,] 0.13747279 0.27494559 0.8625272 [36,] 0.14958543 0.29917086 0.8504146 [37,] 0.21269333 0.42538666 0.7873067 [38,] 0.31384801 0.62769602 0.6861520 [39,] 0.24933937 0.49867874 0.7506606 [40,] 0.44670655 0.89341311 0.5532934 > postscript(file="/var/wessaorg/rcomp/tmp/1n6d61323620161.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/29emc1323620161.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/364h81323620161.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4pq2y1323620161.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5yqt91323620161.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 = 65 Frequency = 1 1 2 3 4 5 6 -0.00828895 2.38022125 0.36209036 2.56439618 0.66000471 0.75324262 7 8 9 10 11 12 -0.05883400 2.14727167 -1.91475470 -4.02937616 1.18228975 0.62990450 13 14 15 16 17 18 -2.70151362 -0.53740226 -1.79902247 -1.24975057 -2.58273072 -0.03679742 19 20 21 22 23 24 -0.52416996 3.27450901 1.54518661 2.68656010 4.31842790 0.80851677 25 26 27 28 29 30 0.30233708 1.27887473 -1.05916587 2.21555916 1.86747476 -1.24452655 31 32 33 34 35 36 6.01178976 1.81816946 -0.87239214 1.13418840 2.85542525 1.74366708 37 38 39 40 41 42 1.36996126 -0.57036179 -1.61281933 -1.40974404 -0.85693859 -1.14075699 43 44 45 46 47 48 -1.42926787 -1.28464834 1.15854655 -2.07712008 -4.70981964 0.79037740 49 50 51 52 53 54 -4.70899174 1.40306169 -3.38325957 1.34477044 1.69590652 -4.94611602 55 56 57 58 59 60 0.49494521 -1.52729418 -1.80441389 -0.27456671 -0.50488862 1.47429476 61 62 63 64 65 1.70127551 -1.91418303 -0.28719402 -3.12410902 2.21197238 > postscript(file="/var/wessaorg/rcomp/tmp/6wwdj1323620161.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 = 65 Frequency = 1 lag(myerror, k = 1) myerror 0 -0.00828895 NA 1 2.38022125 -0.00828895 2 0.36209036 2.38022125 3 2.56439618 0.36209036 4 0.66000471 2.56439618 5 0.75324262 0.66000471 6 -0.05883400 0.75324262 7 2.14727167 -0.05883400 8 -1.91475470 2.14727167 9 -4.02937616 -1.91475470 10 1.18228975 -4.02937616 11 0.62990450 1.18228975 12 -2.70151362 0.62990450 13 -0.53740226 -2.70151362 14 -1.79902247 -0.53740226 15 -1.24975057 -1.79902247 16 -2.58273072 -1.24975057 17 -0.03679742 -2.58273072 18 -0.52416996 -0.03679742 19 3.27450901 -0.52416996 20 1.54518661 3.27450901 21 2.68656010 1.54518661 22 4.31842790 2.68656010 23 0.80851677 4.31842790 24 0.30233708 0.80851677 25 1.27887473 0.30233708 26 -1.05916587 1.27887473 27 2.21555916 -1.05916587 28 1.86747476 2.21555916 29 -1.24452655 1.86747476 30 6.01178976 -1.24452655 31 1.81816946 6.01178976 32 -0.87239214 1.81816946 33 1.13418840 -0.87239214 34 2.85542525 1.13418840 35 1.74366708 2.85542525 36 1.36996126 1.74366708 37 -0.57036179 1.36996126 38 -1.61281933 -0.57036179 39 -1.40974404 -1.61281933 40 -0.85693859 -1.40974404 41 -1.14075699 -0.85693859 42 -1.42926787 -1.14075699 43 -1.28464834 -1.42926787 44 1.15854655 -1.28464834 45 -2.07712008 1.15854655 46 -4.70981964 -2.07712008 47 0.79037740 -4.70981964 48 -4.70899174 0.79037740 49 1.40306169 -4.70899174 50 -3.38325957 1.40306169 51 1.34477044 -3.38325957 52 1.69590652 1.34477044 53 -4.94611602 1.69590652 54 0.49494521 -4.94611602 55 -1.52729418 0.49494521 56 -1.80441389 -1.52729418 57 -0.27456671 -1.80441389 58 -0.50488862 -0.27456671 59 1.47429476 -0.50488862 60 1.70127551 1.47429476 61 -1.91418303 1.70127551 62 -0.28719402 -1.91418303 63 -3.12410902 -0.28719402 64 2.21197238 -3.12410902 65 NA 2.21197238 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 2.38022125 -0.00828895 [2,] 0.36209036 2.38022125 [3,] 2.56439618 0.36209036 [4,] 0.66000471 2.56439618 [5,] 0.75324262 0.66000471 [6,] -0.05883400 0.75324262 [7,] 2.14727167 -0.05883400 [8,] -1.91475470 2.14727167 [9,] -4.02937616 -1.91475470 [10,] 1.18228975 -4.02937616 [11,] 0.62990450 1.18228975 [12,] -2.70151362 0.62990450 [13,] -0.53740226 -2.70151362 [14,] -1.79902247 -0.53740226 [15,] -1.24975057 -1.79902247 [16,] -2.58273072 -1.24975057 [17,] -0.03679742 -2.58273072 [18,] -0.52416996 -0.03679742 [19,] 3.27450901 -0.52416996 [20,] 1.54518661 3.27450901 [21,] 2.68656010 1.54518661 [22,] 4.31842790 2.68656010 [23,] 0.80851677 4.31842790 [24,] 0.30233708 0.80851677 [25,] 1.27887473 0.30233708 [26,] -1.05916587 1.27887473 [27,] 2.21555916 -1.05916587 [28,] 1.86747476 2.21555916 [29,] -1.24452655 1.86747476 [30,] 6.01178976 -1.24452655 [31,] 1.81816946 6.01178976 [32,] -0.87239214 1.81816946 [33,] 1.13418840 -0.87239214 [34,] 2.85542525 1.13418840 [35,] 1.74366708 2.85542525 [36,] 1.36996126 1.74366708 [37,] -0.57036179 1.36996126 [38,] -1.61281933 -0.57036179 [39,] -1.40974404 -1.61281933 [40,] -0.85693859 -1.40974404 [41,] -1.14075699 -0.85693859 [42,] -1.42926787 -1.14075699 [43,] -1.28464834 -1.42926787 [44,] 1.15854655 -1.28464834 [45,] -2.07712008 1.15854655 [46,] -4.70981964 -2.07712008 [47,] 0.79037740 -4.70981964 [48,] -4.70899174 0.79037740 [49,] 1.40306169 -4.70899174 [50,] -3.38325957 1.40306169 [51,] 1.34477044 -3.38325957 [52,] 1.69590652 1.34477044 [53,] -4.94611602 1.69590652 [54,] 0.49494521 -4.94611602 [55,] -1.52729418 0.49494521 [56,] -1.80441389 -1.52729418 [57,] -0.27456671 -1.80441389 [58,] -0.50488862 -0.27456671 [59,] 1.47429476 -0.50488862 [60,] 1.70127551 1.47429476 [61,] -1.91418303 1.70127551 [62,] -0.28719402 -1.91418303 [63,] -3.12410902 -0.28719402 [64,] 2.21197238 -3.12410902 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 2.38022125 -0.00828895 2 0.36209036 2.38022125 3 2.56439618 0.36209036 4 0.66000471 2.56439618 5 0.75324262 0.66000471 6 -0.05883400 0.75324262 7 2.14727167 -0.05883400 8 -1.91475470 2.14727167 9 -4.02937616 -1.91475470 10 1.18228975 -4.02937616 11 0.62990450 1.18228975 12 -2.70151362 0.62990450 13 -0.53740226 -2.70151362 14 -1.79902247 -0.53740226 15 -1.24975057 -1.79902247 16 -2.58273072 -1.24975057 17 -0.03679742 -2.58273072 18 -0.52416996 -0.03679742 19 3.27450901 -0.52416996 20 1.54518661 3.27450901 21 2.68656010 1.54518661 22 4.31842790 2.68656010 23 0.80851677 4.31842790 24 0.30233708 0.80851677 25 1.27887473 0.30233708 26 -1.05916587 1.27887473 27 2.21555916 -1.05916587 28 1.86747476 2.21555916 29 -1.24452655 1.86747476 30 6.01178976 -1.24452655 31 1.81816946 6.01178976 32 -0.87239214 1.81816946 33 1.13418840 -0.87239214 34 2.85542525 1.13418840 35 1.74366708 2.85542525 36 1.36996126 1.74366708 37 -0.57036179 1.36996126 38 -1.61281933 -0.57036179 39 -1.40974404 -1.61281933 40 -0.85693859 -1.40974404 41 -1.14075699 -0.85693859 42 -1.42926787 -1.14075699 43 -1.28464834 -1.42926787 44 1.15854655 -1.28464834 45 -2.07712008 1.15854655 46 -4.70981964 -2.07712008 47 0.79037740 -4.70981964 48 -4.70899174 0.79037740 49 1.40306169 -4.70899174 50 -3.38325957 1.40306169 51 1.34477044 -3.38325957 52 1.69590652 1.34477044 53 -4.94611602 1.69590652 54 0.49494521 -4.94611602 55 -1.52729418 0.49494521 56 -1.80441389 -1.52729418 57 -0.27456671 -1.80441389 58 -0.50488862 -0.27456671 59 1.47429476 -0.50488862 60 1.70127551 1.47429476 61 -1.91418303 1.70127551 62 -0.28719402 -1.91418303 63 -3.12410902 -0.28719402 64 2.21197238 -3.12410902 > 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/7k05e1323620161.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8n3qb1323620161.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9a4hk1323620161.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10i4wp1323620161.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/118eyx1323620161.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/1240w31323620161.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/13rpdn1323620161.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/14mr761323620161.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/15rdle1323620161.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/16hbqr1323620161.tab") + } > > try(system("convert tmp/1n6d61323620161.ps tmp/1n6d61323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/29emc1323620161.ps tmp/29emc1323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/364h81323620161.ps tmp/364h81323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/4pq2y1323620161.ps tmp/4pq2y1323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/5yqt91323620161.ps tmp/5yqt91323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/6wwdj1323620161.ps tmp/6wwdj1323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/7k05e1323620161.ps tmp/7k05e1323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/8n3qb1323620161.ps tmp/8n3qb1323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/9a4hk1323620161.ps tmp/9a4hk1323620161.png",intern=TRUE)) character(0) > try(system("convert tmp/10i4wp1323620161.ps tmp/10i4wp1323620161.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.455 0.506 4.024