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Type 'q()' to quit R. > x <- array(list(97.3,332.9,90.45,341.6,80.64,333.4,80.58,348.2,75.82,344.7,85.59,344.7,89.35,329.3,89.42,323.5,104.73,323.2,95.32,317.4,89.27,330.1,90.44,329.2,86.97,334.9,79.98,315.8,81.22,315.4,87.35,319.6,83.64,317.3,82.22,313.8,94.4,315.8,102.18,311.3),dim=c(2,20),dimnames=list(c('Colombia','USA'),1:20)) > y <- array(NA,dim=c(2,20),dimnames=list(c('Colombia','USA'),1:20)) > 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 = 'Include Monthly Dummies' > par1 = '2' > #'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 USA Colombia M1 M2 M3 M4 M5 M6 M7 M8 M9 M10 M11 1 332.9 97.30 1 0 0 0 0 0 0 0 0 0 0 2 341.6 90.45 0 1 0 0 0 0 0 0 0 0 0 3 333.4 80.64 0 0 1 0 0 0 0 0 0 0 0 4 348.2 80.58 0 0 0 1 0 0 0 0 0 0 0 5 344.7 75.82 0 0 0 0 1 0 0 0 0 0 0 6 344.7 85.59 0 0 0 0 0 1 0 0 0 0 0 7 329.3 89.35 0 0 0 0 0 0 1 0 0 0 0 8 323.5 89.42 0 0 0 0 0 0 0 1 0 0 0 9 323.2 104.73 0 0 0 0 0 0 0 0 1 0 0 10 317.4 95.32 0 0 0 0 0 0 0 0 0 1 0 11 330.1 89.27 0 0 0 0 0 0 0 0 0 0 1 12 329.2 90.44 0 0 0 0 0 0 0 0 0 0 0 13 334.9 86.97 1 0 0 0 0 0 0 0 0 0 0 14 315.8 79.98 0 1 0 0 0 0 0 0 0 0 0 15 315.4 81.22 0 0 1 0 0 0 0 0 0 0 0 16 319.6 87.35 0 0 0 1 0 0 0 0 0 0 0 17 317.3 83.64 0 0 0 0 1 0 0 0 0 0 0 18 313.8 82.22 0 0 0 0 0 1 0 0 0 0 0 19 315.8 94.40 0 0 0 0 0 0 1 0 0 0 0 20 311.3 102.18 0 0 0 0 0 0 0 1 0 0 0 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Colombia M1 M2 M3 M4 379.0712 -0.5514 5.6347 -3.3812 -10.0441 1.1295 M5 M6 M7 M8 M9 M10 -4.1058 -3.5536 -5.8587 -8.8443 1.8799 -9.1090 M11 0.2548 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -1.638e+01 -6.228e+00 -5.780e-16 6.228e+00 1.638e+01 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 379.0712 92.1986 4.111 0.00451 ** Colombia -0.5514 1.0035 -0.549 0.59975 M1 5.6347 19.9539 0.282 0.78582 M2 -3.3812 20.5611 -0.164 0.87403 M3 -10.0441 22.0532 -0.455 0.66258 M4 1.1295 20.9161 0.054 0.95844 M5 -4.1058 22.6004 -0.182 0.86099 M6 -3.5536 20.9349 -0.170 0.87001 M7 -5.8587 19.9333 -0.294 0.77735 M8 -8.8443 20.5960 -0.429 0.68053 M9 1.8799 27.0677 0.069 0.94657 M10 -9.1090 23.4734 -0.388 0.70950 M11 0.2548 22.9869 0.011 0.99146 --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 16.23 on 7 degrees of freedom Multiple R-squared: 0.2682, Adjusted R-squared: -0.9862 F-statistic: 0.2138 on 12 and 7 DF, p-value: 0.9903 > 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 + } > postscript(file="/var/www/html/freestat/rcomp/tmp/1pkxf1290524239.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/2ibw01290524239.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/freestat/rcomp/tmp/3ibw01290524239.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/4ibw01290524239.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/5s2v31290524239.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 = 20 Frequency = 1 1 2 3 4 5 1.848126e+00 1.578673e+01 8.840086e+00 1.243342e+01 1.154392e+01 6 7 8 9 10 1.637916e+01 5.357644e+00 2.581889e+00 8.097635e-16 -8.555710e-16 11 12 13 14 15 -3.004595e-16 -1.188638e-15 -1.848126e+00 -1.578673e+01 -8.840086e+00 16 17 18 19 20 -1.243342e+01 -1.154392e+01 -1.637916e+01 -5.357644e+00 -2.581889e+00 > postscript(file="/var/www/html/freestat/rcomp/tmp/6s2v31290524239.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 = 20 Frequency = 1 lag(myerror, k = 1) myerror 0 1.848126e+00 NA 1 1.578673e+01 1.848126e+00 2 8.840086e+00 1.578673e+01 3 1.243342e+01 8.840086e+00 4 1.154392e+01 1.243342e+01 5 1.637916e+01 1.154392e+01 6 5.357644e+00 1.637916e+01 7 2.581889e+00 5.357644e+00 8 8.097635e-16 2.581889e+00 9 -8.555710e-16 8.097635e-16 10 -3.004595e-16 -8.555710e-16 11 -1.188638e-15 -3.004595e-16 12 -1.848126e+00 -1.188638e-15 13 -1.578673e+01 -1.848126e+00 14 -8.840086e+00 -1.578673e+01 15 -1.243342e+01 -8.840086e+00 16 -1.154392e+01 -1.243342e+01 17 -1.637916e+01 -1.154392e+01 18 -5.357644e+00 -1.637916e+01 19 -2.581889e+00 -5.357644e+00 20 NA -2.581889e+00 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 1.578673e+01 1.848126e+00 [2,] 8.840086e+00 1.578673e+01 [3,] 1.243342e+01 8.840086e+00 [4,] 1.154392e+01 1.243342e+01 [5,] 1.637916e+01 1.154392e+01 [6,] 5.357644e+00 1.637916e+01 [7,] 2.581889e+00 5.357644e+00 [8,] 8.097635e-16 2.581889e+00 [9,] -8.555710e-16 8.097635e-16 [10,] -3.004595e-16 -8.555710e-16 [11,] -1.188638e-15 -3.004595e-16 [12,] -1.848126e+00 -1.188638e-15 [13,] -1.578673e+01 -1.848126e+00 [14,] -8.840086e+00 -1.578673e+01 [15,] -1.243342e+01 -8.840086e+00 [16,] -1.154392e+01 -1.243342e+01 [17,] -1.637916e+01 -1.154392e+01 [18,] -5.357644e+00 -1.637916e+01 [19,] -2.581889e+00 -5.357644e+00 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 1.578673e+01 1.848126e+00 2 8.840086e+00 1.578673e+01 3 1.243342e+01 8.840086e+00 4 1.154392e+01 1.243342e+01 5 1.637916e+01 1.154392e+01 6 5.357644e+00 1.637916e+01 7 2.581889e+00 5.357644e+00 8 8.097635e-16 2.581889e+00 9 -8.555710e-16 8.097635e-16 10 -3.004595e-16 -8.555710e-16 11 -1.188638e-15 -3.004595e-16 12 -1.848126e+00 -1.188638e-15 13 -1.578673e+01 -1.848126e+00 14 -8.840086e+00 -1.578673e+01 15 -1.243342e+01 -8.840086e+00 16 -1.154392e+01 -1.243342e+01 17 -1.637916e+01 -1.154392e+01 18 -5.357644e+00 -1.637916e+01 19 -2.581889e+00 -5.357644e+00 > 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/freestat/rcomp/tmp/73bdo1290524239.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/83bdo1290524239.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/freestat/rcomp/tmp/9elc91290524239.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') Warning message: In dropInf(r.w/(s * sqrt(1 - hii))) : Not plotting observations with leverage one: 9, 10, 11, 12 > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/html/freestat/rcomp/tmp/10elc91290524239.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } > > #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/freestat/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/freestat/rcomp/tmp/11zlse1290524239.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/freestat/rcomp/tmp/12kl9k1290524239.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/freestat/rcomp/tmp/1395oe1290524239.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/freestat/rcomp/tmp/142enz1290524239.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/freestat/rcomp/tmp/155e4n1290524239.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/freestat/rcomp/tmp/169xkb1290524239.tab") + } > > try(system("convert tmp/1pkxf1290524239.ps tmp/1pkxf1290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/2ibw01290524239.ps tmp/2ibw01290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/3ibw01290524239.ps tmp/3ibw01290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/4ibw01290524239.ps tmp/4ibw01290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/5s2v31290524239.ps tmp/5s2v31290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/6s2v31290524239.ps tmp/6s2v31290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/73bdo1290524239.ps tmp/73bdo1290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/83bdo1290524239.ps tmp/83bdo1290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/9elc91290524239.ps tmp/9elc91290524239.png",intern=TRUE)) character(0) > try(system("convert tmp/10elc91290524239.ps tmp/10elc91290524239.png",intern=TRUE)) convert: unable to open image `tmp/10elc91290524239.ps': No such file or directory. convert: missing an image filename `tmp/10elc91290524239.png'. character(0) > > > proc.time() user system elapsed 3.254 2.255 6.464