R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-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(41 + ,38 + ,13 + ,12 + ,14 + ,12 + ,53 + ,32 + ,39 + ,32 + ,16 + ,11 + ,18 + ,11 + ,86 + ,51 + ,30 + ,35 + ,19 + ,15 + ,11 + ,14 + ,66 + ,42 + ,31 + ,33 + ,15 + ,6 + ,12 + ,12 + ,67 + ,41 + ,34 + ,37 + ,14 + ,13 + ,16 + ,21 + ,76 + ,46 + ,35 + ,29 + ,13 + ,10 + ,18 + ,12 + ,78 + ,47 + ,39 + ,31 + ,19 + ,12 + ,14 + ,22 + ,53 + ,37 + ,34 + ,36 + ,15 + ,14 + ,14 + ,11 + ,80 + ,49 + ,36 + ,35 + ,14 + ,12 + ,15 + ,10 + ,74 + ,45 + ,37 + ,38 + ,15 + ,6 + ,15 + ,13 + ,76 + ,47 + ,38 + ,31 + ,16 + ,10 + ,17 + ,10 + ,79 + ,49 + ,36 + ,34 + ,16 + ,12 + ,19 + ,8 + ,54 + ,33 + ,38 + ,35 + ,16 + ,12 + ,10 + ,15 + ,67 + ,42 + ,39 + ,38 + ,16 + ,11 + ,16 + ,14 + ,54 + ,33 + ,33 + ,37 + ,17 + ,15 + ,18 + ,10 + ,87 + ,53 + ,32 + ,33 + ,15 + ,12 + ,14 + ,14 + ,58 + ,36 + ,36 + ,32 + ,15 + ,10 + ,14 + ,14 + ,75 + ,45 + ,38 + ,38 + ,20 + ,12 + ,17 + ,11 + ,88 + ,54 + ,39 + ,38 + ,18 + ,11 + ,14 + ,10 + ,64 + ,41 + ,32 + ,32 + ,16 + ,12 + ,16 + ,13 + ,57 + ,36 + ,32 + ,33 + ,16 + ,11 + ,18 + ,7 + ,66 + ,41 + ,31 + ,31 + ,16 + ,12 + ,11 + ,14 + ,68 + ,44 + ,39 + ,38 + ,19 + ,13 + ,14 + ,12 + ,54 + ,33 + ,37 + ,39 + ,16 + ,11 + ,12 + ,14 + ,56 + ,37 + ,39 + ,32 + ,17 + ,9 + ,17 + ,11 + ,86 + ,52 + ,41 + ,32 + ,17 + ,13 + ,9 + ,9 + ,80 + ,47 + ,36 + ,35 + ,16 + ,10 + ,16 + ,11 + ,76 + ,43 + ,33 + ,37 + ,15 + ,14 + ,14 + ,15 + ,69 + ,44 + ,33 + ,33 + ,16 + ,12 + ,15 + ,14 + ,78 + ,45 + ,34 + ,33 + ,14 + ,10 + ,11 + ,13 + ,67 + ,44 + ,31 + ,28 + ,15 + ,12 + ,16 + ,9 + ,80 + ,49 + ,27 + ,32 + ,12 + ,8 + ,13 + ,15 + ,54 + ,33 + ,37 + ,31 + ,14 + ,10 + ,17 + ,10 + ,71 + ,43 + ,34 + ,37 + ,16 + ,12 + ,15 + ,11 + ,84 + ,54 + ,34 + ,30 + ,14 + ,12 + ,14 + ,13 + ,74 + ,42 + ,32 + ,33 + ,7 + ,7 + ,16 + ,8 + ,71 + ,44 + ,29 + ,31 + ,10 + ,6 + ,9 + ,20 + ,63 + ,37 + ,36 + ,33 + ,14 + ,12 + ,15 + ,12 + ,71 + ,43 + ,29 + ,31 + ,16 + ,10 + ,17 + ,10 + ,76 + ,46 + ,35 + ,33 + ,16 + ,10 + ,13 + ,10 + ,69 + ,42 + ,37 + ,32 + ,16 + ,10 + ,15 + ,9 + ,74 + ,45 + ,34 + ,33 + ,14 + ,12 + ,16 + ,14 + ,75 + ,44 + ,38 + ,32 + ,20 + ,15 + ,16 + ,8 + ,54 + ,33 + ,35 + ,33 + ,14 + ,10 + ,12 + ,14 + ,52 + ,31 + ,38 + ,28 + ,14 + ,10 + ,12 + ,11 + ,69 + ,42 + ,37 + ,35 + ,11 + ,12 + ,11 + ,13 + ,68 + ,40 + ,38 + ,39 + ,14 + ,13 + ,15 + ,9 + ,65 + ,43 + ,33 + ,34 + ,15 + ,11 + ,15 + ,11 + ,75 + ,46 + ,36 + ,38 + ,16 + ,11 + ,17 + ,15 + ,74 + ,42 + ,38 + ,32 + ,14 + ,12 + ,13 + ,11 + ,75 + ,45 + ,32 + ,38 + ,16 + ,14 + ,16 + ,10 + ,72 + ,44 + ,32 + ,30 + ,14 + ,10 + ,14 + ,14 + ,67 + ,40 + ,32 + ,33 + ,12 + ,12 + ,11 + ,18 + ,63 + ,37 + ,34 + ,38 + ,16 + ,13 + ,12 + ,14 + ,62 + ,46 + ,32 + ,32 + ,9 + ,5 + ,12 + ,11 + ,63 + ,36 + ,37 + ,32 + ,14 + ,6 + ,15 + ,12 + ,76 + ,47 + ,39 + ,34 + ,16 + ,12 + ,16 + ,13 + ,74 + ,45 + ,29 + ,34 + ,16 + ,12 + ,15 + ,9 + ,67 + ,42 + ,37 + ,36 + ,15 + ,11 + ,12 + ,10 + ,73 + ,43 + ,35 + ,34 + ,16 + ,10 + ,12 + ,15 + ,70 + ,43 + ,30 + ,28 + ,12 + ,7 + ,8 + ,20 + ,53 + ,32 + ,38 + ,34 + ,16 + ,12 + ,13 + ,12 + ,77 + ,45 + ,34 + ,35 + ,16 + ,14 + ,11 + ,12 + ,77 + ,45 + ,31 + ,35 + ,14 + ,11 + ,14 + ,14 + ,52 + ,31 + ,34 + ,31 + ,16 + ,12 + ,15 + ,13 + ,54 + ,33 + ,35 + ,37 + ,17 + ,13 + ,10 + ,11 + ,80 + ,49) + ,dim=c(8 + ,66) + ,dimnames=list(c('Connected' + ,'Separate' + ,'Learning' + ,'Software' + ,'Happiness' + ,'Depression' + ,'Belonging' + ,'Belonging_Final') + ,1:66)) > y <- array(NA,dim=c(8,66),dimnames=list(c('Connected','Separate','Learning','Software','Happiness','Depression','Belonging','Belonging_Final'),1:66)) > 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 = '5' > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from 'package:base': as.Date, 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 Happiness Connected Separate Learning Software Depression Belonging 1 14 41 38 13 12 12 53 2 18 39 32 16 11 11 86 3 11 30 35 19 15 14 66 4 12 31 33 15 6 12 67 5 16 34 37 14 13 21 76 6 18 35 29 13 10 12 78 7 14 39 31 19 12 22 53 8 14 34 36 15 14 11 80 9 15 36 35 14 12 10 74 10 15 37 38 15 6 13 76 11 17 38 31 16 10 10 79 12 19 36 34 16 12 8 54 13 10 38 35 16 12 15 67 14 16 39 38 16 11 14 54 15 18 33 37 17 15 10 87 16 14 32 33 15 12 14 58 17 14 36 32 15 10 14 75 18 17 38 38 20 12 11 88 19 14 39 38 18 11 10 64 20 16 32 32 16 12 13 57 21 18 32 33 16 11 7 66 22 11 31 31 16 12 14 68 23 14 39 38 19 13 12 54 24 12 37 39 16 11 14 56 25 17 39 32 17 9 11 86 26 9 41 32 17 13 9 80 27 16 36 35 16 10 11 76 28 14 33 37 15 14 15 69 29 15 33 33 16 12 14 78 30 11 34 33 14 10 13 67 31 16 31 28 15 12 9 80 32 13 27 32 12 8 15 54 33 17 37 31 14 10 10 71 34 15 34 37 16 12 11 84 35 14 34 30 14 12 13 74 36 16 32 33 7 7 8 71 37 9 29 31 10 6 20 63 38 15 36 33 14 12 12 71 39 17 29 31 16 10 10 76 40 13 35 33 16 10 10 69 41 15 37 32 16 10 9 74 42 16 34 33 14 12 14 75 43 16 38 32 20 15 8 54 44 12 35 33 14 10 14 52 45 12 38 28 14 10 11 69 46 11 37 35 11 12 13 68 47 15 38 39 14 13 9 65 48 15 33 34 15 11 11 75 49 17 36 38 16 11 15 74 50 13 38 32 14 12 11 75 51 16 32 38 16 14 10 72 52 14 32 30 14 10 14 67 53 11 32 33 12 12 18 63 54 12 34 38 16 13 14 62 55 12 32 32 9 5 11 63 56 15 37 32 14 6 12 76 57 16 39 34 16 12 13 74 58 15 29 34 16 12 9 67 59 12 37 36 15 11 10 73 60 12 35 34 16 10 15 70 61 8 30 28 12 7 20 53 62 13 38 34 16 12 12 77 63 11 34 35 16 14 12 77 64 14 31 35 14 11 14 52 65 15 34 31 16 12 13 54 66 10 35 37 17 13 11 80 Belonging_Final 1 32 2 51 3 42 4 41 5 46 6 47 7 37 8 49 9 45 10 47 11 49 12 33 13 42 14 33 15 53 16 36 17 45 18 54 19 41 20 36 21 41 22 44 23 33 24 37 25 52 26 47 27 43 28 44 29 45 30 44 31 49 32 33 33 43 34 54 35 42 36 44 37 37 38 43 39 46 40 42 41 45 42 44 43 33 44 31 45 42 46 40 47 43 48 46 49 42 50 45 51 44 52 40 53 37 54 46 55 36 56 47 57 45 58 42 59 43 60 43 61 32 62 45 63 45 64 31 65 33 66 49 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Connected Separate Learning 12.375113 -0.002763 0.018856 0.182173 Software Depression Belonging Belonging_Final -0.024719 -0.283784 0.079758 -0.077406 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -6.8293 -1.5180 0.4176 1.5199 4.2506 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 12.375113 5.125311 2.415 0.01893 * Connected -0.002763 0.099714 -0.028 0.97799 Separate 0.018856 0.113144 0.167 0.86822 Learning 0.182173 0.165518 1.101 0.27561 Software -0.024719 0.162056 -0.153 0.87930 Depression -0.283784 0.101878 -2.786 0.00721 ** Belonging 0.079758 0.101817 0.783 0.43661 Belonging_Final -0.077406 0.173014 -0.447 0.65626 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.326 on 58 degrees of freedom Multiple R-squared: 0.2179, Adjusted R-squared: 0.1235 F-statistic: 2.308 on 7 and 58 DF, p-value: 0.03803 > 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,] 0.04185638 0.08371276 0.95814362 [2,] 0.77651624 0.44696751 0.22348376 [3,] 0.93325613 0.13348773 0.06674387 [4,] 0.90995919 0.18008162 0.09004081 [5,] 0.93142147 0.13715706 0.06857853 [6,] 0.89021343 0.21957315 0.10978657 [7,] 0.88123540 0.23752920 0.11876460 [8,] 0.83097906 0.33804187 0.16902094 [9,] 0.76654471 0.46691058 0.23345529 [10,] 0.75993253 0.48013494 0.24006747 [11,] 0.75686593 0.48626814 0.24313407 [12,] 0.75001659 0.49996681 0.24998341 [13,] 0.71444142 0.57111716 0.28555858 [14,] 0.63808997 0.72382006 0.36191003 [15,] 0.59957616 0.80084768 0.40042384 [16,] 0.98043771 0.03912459 0.01956229 [17,] 0.96962468 0.06075065 0.03037532 [18,] 0.95665244 0.08669513 0.04334756 [19,] 0.93817708 0.12364584 0.06182292 [20,] 0.93939058 0.12121883 0.06060942 [21,] 0.91206019 0.17587961 0.08793981 [22,] 0.87918757 0.24162487 0.12081243 [23,] 0.87745762 0.24508476 0.12254238 [24,] 0.83350928 0.33298144 0.16649072 [25,] 0.79111414 0.41777172 0.20888586 [26,] 0.78222166 0.43555668 0.21777834 [27,] 0.77849756 0.44300487 0.22150244 [28,] 0.74433774 0.51132452 0.25566226 [29,] 0.73795753 0.52408493 0.26204247 [30,] 0.70802917 0.58394165 0.29197083 [31,] 0.63393200 0.73213600 0.36606800 [32,] 0.71356773 0.57286454 0.28643227 [33,] 0.63969278 0.72061443 0.36030722 [34,] 0.61220890 0.77558219 0.38779110 [35,] 0.56203774 0.87592453 0.43796226 [36,] 0.51060702 0.97878595 0.48939298 [37,] 0.41621441 0.83242883 0.58378559 [38,] 0.37426709 0.74853418 0.62573291 [39,] 0.53205319 0.93589362 0.46794681 [40,] 0.46925234 0.93850468 0.53074766 [41,] 0.56983997 0.86032005 0.43016003 [42,] 0.48042014 0.96084029 0.51957986 [43,] 0.53495789 0.93008422 0.46504211 [44,] 0.47858851 0.95717701 0.52141149 [45,] 0.32505151 0.65010302 0.67494849 > postscript(file="/var/fisher/rcomp/tmp/1lo8y1355582229.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/fisher/rcomp/tmp/2mlru1355582229.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/3uzvz1355582229.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/43nov1355582229.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/5x9un1355582229.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$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 = 66 Frequency = 1 1 2 3 4 5 6 0.605239741 2.696524946 -3.082701383 -2.260731004 4.250599239 3.876065344 7 8 9 10 11 12 2.863531941 -0.812651650 0.229608315 0.691964972 1.807609010 3.982840384 13 14 15 16 17 18 -3.384204490 2.593689840 2.293634517 0.788704290 0.109943608 0.949351047 19 20 21 22 23 24 -1.084125721 2.421361235 2.344291117 -2.536853945 -0.470960281 -1.280586598 25 26 27 28 29 30 1.542319979 -6.829327114 0.785281645 0.791172229 0.710787838 -2.455392820 31 32 33 34 35 36 0.712902826 0.611987406 2.342821532 0.004878059 -0.062502839 2.002187349 37 38 39 40 41 42 -2.037999737 0.919350592 1.789795532 -1.982653982 -0.408627336 2.239765661 43 44 45 46 47 48 0.371542236 -0.978750297 -2.231952710 -2.278237937 0.463654497 0.314713975 49 50 51 52 53 54 2.970676941 -1.504270474 0.929187113 0.569810615 -0.851024365 -1.002480468 55 56 57 58 59 60 -1.522570617 0.703491487 1.743759382 -0.092921298 -3.068429602 -1.584943578 61 62 63 64 65 66 -2.907745262 -1.782061205 -3.762533635 0.997202490 1.452801014 -5.217809596 > postscript(file="/var/fisher/rcomp/tmp/6p98c1355582229.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 = 66 Frequency = 1 lag(myerror, k = 1) myerror 0 0.605239741 NA 1 2.696524946 0.605239741 2 -3.082701383 2.696524946 3 -2.260731004 -3.082701383 4 4.250599239 -2.260731004 5 3.876065344 4.250599239 6 2.863531941 3.876065344 7 -0.812651650 2.863531941 8 0.229608315 -0.812651650 9 0.691964972 0.229608315 10 1.807609010 0.691964972 11 3.982840384 1.807609010 12 -3.384204490 3.982840384 13 2.593689840 -3.384204490 14 2.293634517 2.593689840 15 0.788704290 2.293634517 16 0.109943608 0.788704290 17 0.949351047 0.109943608 18 -1.084125721 0.949351047 19 2.421361235 -1.084125721 20 2.344291117 2.421361235 21 -2.536853945 2.344291117 22 -0.470960281 -2.536853945 23 -1.280586598 -0.470960281 24 1.542319979 -1.280586598 25 -6.829327114 1.542319979 26 0.785281645 -6.829327114 27 0.791172229 0.785281645 28 0.710787838 0.791172229 29 -2.455392820 0.710787838 30 0.712902826 -2.455392820 31 0.611987406 0.712902826 32 2.342821532 0.611987406 33 0.004878059 2.342821532 34 -0.062502839 0.004878059 35 2.002187349 -0.062502839 36 -2.037999737 2.002187349 37 0.919350592 -2.037999737 38 1.789795532 0.919350592 39 -1.982653982 1.789795532 40 -0.408627336 -1.982653982 41 2.239765661 -0.408627336 42 0.371542236 2.239765661 43 -0.978750297 0.371542236 44 -2.231952710 -0.978750297 45 -2.278237937 -2.231952710 46 0.463654497 -2.278237937 47 0.314713975 0.463654497 48 2.970676941 0.314713975 49 -1.504270474 2.970676941 50 0.929187113 -1.504270474 51 0.569810615 0.929187113 52 -0.851024365 0.569810615 53 -1.002480468 -0.851024365 54 -1.522570617 -1.002480468 55 0.703491487 -1.522570617 56 1.743759382 0.703491487 57 -0.092921298 1.743759382 58 -3.068429602 -0.092921298 59 -1.584943578 -3.068429602 60 -2.907745262 -1.584943578 61 -1.782061205 -2.907745262 62 -3.762533635 -1.782061205 63 0.997202490 -3.762533635 64 1.452801014 0.997202490 65 -5.217809596 1.452801014 66 NA -5.217809596 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 2.696524946 0.605239741 [2,] -3.082701383 2.696524946 [3,] -2.260731004 -3.082701383 [4,] 4.250599239 -2.260731004 [5,] 3.876065344 4.250599239 [6,] 2.863531941 3.876065344 [7,] -0.812651650 2.863531941 [8,] 0.229608315 -0.812651650 [9,] 0.691964972 0.229608315 [10,] 1.807609010 0.691964972 [11,] 3.982840384 1.807609010 [12,] -3.384204490 3.982840384 [13,] 2.593689840 -3.384204490 [14,] 2.293634517 2.593689840 [15,] 0.788704290 2.293634517 [16,] 0.109943608 0.788704290 [17,] 0.949351047 0.109943608 [18,] -1.084125721 0.949351047 [19,] 2.421361235 -1.084125721 [20,] 2.344291117 2.421361235 [21,] -2.536853945 2.344291117 [22,] -0.470960281 -2.536853945 [23,] -1.280586598 -0.470960281 [24,] 1.542319979 -1.280586598 [25,] -6.829327114 1.542319979 [26,] 0.785281645 -6.829327114 [27,] 0.791172229 0.785281645 [28,] 0.710787838 0.791172229 [29,] -2.455392820 0.710787838 [30,] 0.712902826 -2.455392820 [31,] 0.611987406 0.712902826 [32,] 2.342821532 0.611987406 [33,] 0.004878059 2.342821532 [34,] -0.062502839 0.004878059 [35,] 2.002187349 -0.062502839 [36,] -2.037999737 2.002187349 [37,] 0.919350592 -2.037999737 [38,] 1.789795532 0.919350592 [39,] -1.982653982 1.789795532 [40,] -0.408627336 -1.982653982 [41,] 2.239765661 -0.408627336 [42,] 0.371542236 2.239765661 [43,] -0.978750297 0.371542236 [44,] -2.231952710 -0.978750297 [45,] -2.278237937 -2.231952710 [46,] 0.463654497 -2.278237937 [47,] 0.314713975 0.463654497 [48,] 2.970676941 0.314713975 [49,] -1.504270474 2.970676941 [50,] 0.929187113 -1.504270474 [51,] 0.569810615 0.929187113 [52,] -0.851024365 0.569810615 [53,] -1.002480468 -0.851024365 [54,] -1.522570617 -1.002480468 [55,] 0.703491487 -1.522570617 [56,] 1.743759382 0.703491487 [57,] -0.092921298 1.743759382 [58,] -3.068429602 -0.092921298 [59,] -1.584943578 -3.068429602 [60,] -2.907745262 -1.584943578 [61,] -1.782061205 -2.907745262 [62,] -3.762533635 -1.782061205 [63,] 0.997202490 -3.762533635 [64,] 1.452801014 0.997202490 [65,] -5.217809596 1.452801014 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 2.696524946 0.605239741 2 -3.082701383 2.696524946 3 -2.260731004 -3.082701383 4 4.250599239 -2.260731004 5 3.876065344 4.250599239 6 2.863531941 3.876065344 7 -0.812651650 2.863531941 8 0.229608315 -0.812651650 9 0.691964972 0.229608315 10 1.807609010 0.691964972 11 3.982840384 1.807609010 12 -3.384204490 3.982840384 13 2.593689840 -3.384204490 14 2.293634517 2.593689840 15 0.788704290 2.293634517 16 0.109943608 0.788704290 17 0.949351047 0.109943608 18 -1.084125721 0.949351047 19 2.421361235 -1.084125721 20 2.344291117 2.421361235 21 -2.536853945 2.344291117 22 -0.470960281 -2.536853945 23 -1.280586598 -0.470960281 24 1.542319979 -1.280586598 25 -6.829327114 1.542319979 26 0.785281645 -6.829327114 27 0.791172229 0.785281645 28 0.710787838 0.791172229 29 -2.455392820 0.710787838 30 0.712902826 -2.455392820 31 0.611987406 0.712902826 32 2.342821532 0.611987406 33 0.004878059 2.342821532 34 -0.062502839 0.004878059 35 2.002187349 -0.062502839 36 -2.037999737 2.002187349 37 0.919350592 -2.037999737 38 1.789795532 0.919350592 39 -1.982653982 1.789795532 40 -0.408627336 -1.982653982 41 2.239765661 -0.408627336 42 0.371542236 2.239765661 43 -0.978750297 0.371542236 44 -2.231952710 -0.978750297 45 -2.278237937 -2.231952710 46 0.463654497 -2.278237937 47 0.314713975 0.463654497 48 2.970676941 0.314713975 49 -1.504270474 2.970676941 50 0.929187113 -1.504270474 51 0.569810615 0.929187113 52 -0.851024365 0.569810615 53 -1.002480468 -0.851024365 54 -1.522570617 -1.002480468 55 0.703491487 -1.522570617 56 1.743759382 0.703491487 57 -0.092921298 1.743759382 58 -3.068429602 -0.092921298 59 -1.584943578 -3.068429602 60 -2.907745262 -1.584943578 61 -1.782061205 -2.907745262 62 -3.762533635 -1.782061205 63 0.997202490 -3.762533635 64 1.452801014 0.997202490 65 -5.217809596 1.452801014 > 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/fisher/rcomp/tmp/7xst71355582229.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/fisher/rcomp/tmp/8egsm1355582229.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/fisher/rcomp/tmp/9a9b11355582229.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/fisher/rcomp/tmp/10xn8k1355582229.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/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/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$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/11knzw1355582229.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$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$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/12oypv1355582229.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$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$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/13q2xn1355582229.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/fisher/rcomp/tmp/14516l1355582229.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/fisher/rcomp/tmp/158zlt1355582229.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/fisher/rcomp/tmp/16jhkr1355582229.tab") + } > > try(system("convert tmp/1lo8y1355582229.ps tmp/1lo8y1355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/2mlru1355582229.ps tmp/2mlru1355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/3uzvz1355582229.ps tmp/3uzvz1355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/43nov1355582229.ps tmp/43nov1355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/5x9un1355582229.ps tmp/5x9un1355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/6p98c1355582229.ps tmp/6p98c1355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/7xst71355582229.ps tmp/7xst71355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/8egsm1355582229.ps tmp/8egsm1355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/9a9b11355582229.ps tmp/9a9b11355582229.png",intern=TRUE)) character(0) > try(system("convert tmp/10xn8k1355582229.ps tmp/10xn8k1355582229.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 6.198 1.666 7.896