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Type 'q()' to quit R. > x <- array(list(127,13,1235,115,12,1080,127,7,845,150,9,1522,156,6,1047,182,11,1979,156,12,1822,132,10,1253,137,9,1297,113,9,946,137,15,1713,117,11,1024,137,8,1147,153,6,1092,117,13,1152,126,10,1336,170,14,2131,182,8,1550,162,11,1884,184,10,2041,143,6,845,159,9,1483,108,14,1055,175,8,1545,108,6,729,179,9,1792,111,15,1175,187,8,1593,111,7,785,115,7,744,194,5,1356,168,7,1262),dim=c(3,32),dimnames=list(c('Ouderdom','Aantal_bieders','veilingprijs'),1:32)) > y <- array(NA,dim=c(3,32),dimnames=list(c('Ouderdom','Aantal_bieders','veilingprijs'),1:32)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '3' > #'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 veilingprijs Ouderdom Aantal_bieders t 1 1235 127 13 1 2 1080 115 12 2 3 845 127 7 3 4 1522 150 9 4 5 1047 156 6 5 6 1979 182 11 6 7 1822 156 12 7 8 1253 132 10 8 9 1297 137 9 9 10 946 113 9 10 11 1713 137 15 11 12 1024 117 11 12 13 1147 137 8 13 14 1092 153 6 14 15 1152 117 13 15 16 1336 126 10 16 17 2131 170 14 17 18 1550 182 8 18 19 1884 162 11 19 20 2041 184 10 20 21 845 143 6 21 22 1483 159 9 22 23 1055 108 14 23 24 1545 175 8 24 25 729 108 6 25 26 1792 179 9 26 27 1175 111 15 27 28 1593 187 8 28 29 785 111 7 29 30 744 115 7 30 31 1356 194 5 31 32 1262 168 7 32 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Ouderdom Aantal_bieders t -1294.277 12.854 83.887 -2.509 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -191.18 -112.20 20.89 100.52 220.87 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -1294.2768 180.6985 -7.163 8.54e-08 *** Ouderdom 12.8538 0.9149 14.049 3.32e-14 *** Aantal_bieders 83.8869 9.0257 9.294 4.72e-10 *** t -2.5085 2.6945 -0.931 0.36 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 133.8 on 28 degrees of freedom Multiple R-squared: 0.8956, Adjusted R-squared: 0.8844 F-statistic: 80.05 on 3 and 28 DF, p-value: 7.547e-14 > 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,] 0.6163630 0.7672741 0.3836370 [2,] 0.4821490 0.9642979 0.5178510 [3,] 0.3271133 0.6542267 0.6728867 [4,] 0.2087150 0.4174301 0.7912850 [5,] 0.1786345 0.3572690 0.8213655 [6,] 0.1908680 0.3817359 0.8091320 [7,] 0.1194348 0.2388695 0.8805652 [8,] 0.1257798 0.2515596 0.8742202 [9,] 0.1611733 0.3223467 0.8388267 [10,] 0.1919166 0.3838332 0.8080834 [11,] 0.1325697 0.2651394 0.8674303 [12,] 0.2461003 0.4922005 0.7538997 [13,] 0.2858000 0.5716001 0.7142000 [14,] 0.3901496 0.7802992 0.6098504 [15,] 0.7776902 0.4446196 0.2223098 [16,] 0.6618023 0.6763953 0.3381977 [17,] 0.7672903 0.4654194 0.2327097 [18,] 0.7054980 0.5890040 0.2945020 [19,] 0.7509745 0.4980510 0.2490255 > postscript(file="/var/www/rcomp/tmp/1ssht1322137445.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2g0qk1322137445.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/3lo461322137445.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4v62s1322137445.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5rrjj1322137445.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 = 32 Frequency = 1 1 2 3 4 5 6 7 -191.17469 -105.53391 -72.83633 143.26139 -154.69213 26.18356 122.00351 8 9 10 11 12 13 14 31.77658 97.90306 57.90234 15.59870 -78.26958 41.82395 -48.55428 15 16 17 18 19 20 21 -110.51786 211.96727 108.36178 -121.05376 220.86971 181.48189 -149.45696 22 23 24 25 26 27 28 33.73035 -155.65271 -21.02628 194.45943 95.68870 -148.06695 -117.23767 29 30 31 32 138.04519 48.13856 -185.02796 -110.09491 > postscript(file="/var/www/rcomp/tmp/6y5fk1322137445.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 = 32 Frequency = 1 lag(myerror, k = 1) myerror 0 -191.17469 NA 1 -105.53391 -191.17469 2 -72.83633 -105.53391 3 143.26139 -72.83633 4 -154.69213 143.26139 5 26.18356 -154.69213 6 122.00351 26.18356 7 31.77658 122.00351 8 97.90306 31.77658 9 57.90234 97.90306 10 15.59870 57.90234 11 -78.26958 15.59870 12 41.82395 -78.26958 13 -48.55428 41.82395 14 -110.51786 -48.55428 15 211.96727 -110.51786 16 108.36178 211.96727 17 -121.05376 108.36178 18 220.86971 -121.05376 19 181.48189 220.86971 20 -149.45696 181.48189 21 33.73035 -149.45696 22 -155.65271 33.73035 23 -21.02628 -155.65271 24 194.45943 -21.02628 25 95.68870 194.45943 26 -148.06695 95.68870 27 -117.23767 -148.06695 28 138.04519 -117.23767 29 48.13856 138.04519 30 -185.02796 48.13856 31 -110.09491 -185.02796 32 NA -110.09491 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -105.53391 -191.17469 [2,] -72.83633 -105.53391 [3,] 143.26139 -72.83633 [4,] -154.69213 143.26139 [5,] 26.18356 -154.69213 [6,] 122.00351 26.18356 [7,] 31.77658 122.00351 [8,] 97.90306 31.77658 [9,] 57.90234 97.90306 [10,] 15.59870 57.90234 [11,] -78.26958 15.59870 [12,] 41.82395 -78.26958 [13,] -48.55428 41.82395 [14,] -110.51786 -48.55428 [15,] 211.96727 -110.51786 [16,] 108.36178 211.96727 [17,] -121.05376 108.36178 [18,] 220.86971 -121.05376 [19,] 181.48189 220.86971 [20,] -149.45696 181.48189 [21,] 33.73035 -149.45696 [22,] -155.65271 33.73035 [23,] -21.02628 -155.65271 [24,] 194.45943 -21.02628 [25,] 95.68870 194.45943 [26,] -148.06695 95.68870 [27,] -117.23767 -148.06695 [28,] 138.04519 -117.23767 [29,] 48.13856 138.04519 [30,] -185.02796 48.13856 [31,] -110.09491 -185.02796 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -105.53391 -191.17469 2 -72.83633 -105.53391 3 143.26139 -72.83633 4 -154.69213 143.26139 5 26.18356 -154.69213 6 122.00351 26.18356 7 31.77658 122.00351 8 97.90306 31.77658 9 57.90234 97.90306 10 15.59870 57.90234 11 -78.26958 15.59870 12 41.82395 -78.26958 13 -48.55428 41.82395 14 -110.51786 -48.55428 15 211.96727 -110.51786 16 108.36178 211.96727 17 -121.05376 108.36178 18 220.86971 -121.05376 19 181.48189 220.86971 20 -149.45696 181.48189 21 33.73035 -149.45696 22 -155.65271 33.73035 23 -21.02628 -155.65271 24 194.45943 -21.02628 25 95.68870 194.45943 26 -148.06695 95.68870 27 -117.23767 -148.06695 28 138.04519 -117.23767 29 48.13856 138.04519 30 -185.02796 48.13856 31 -110.09491 -185.02796 > 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/rcomp/tmp/7p5as1322137445.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8l65e1322137445.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9ym7f1322137445.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10myz71322137445.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/rcomp/tmp/11m3ei1322137445.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/rcomp/tmp/12aga11322137445.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/rcomp/tmp/137ul51322137445.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/rcomp/tmp/1400qp1322137445.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/rcomp/tmp/1550ir1322137445.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/rcomp/tmp/166n551322137445.tab") + } > > try(system("convert tmp/1ssht1322137445.ps tmp/1ssht1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/2g0qk1322137445.ps tmp/2g0qk1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/3lo461322137445.ps tmp/3lo461322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/4v62s1322137445.ps tmp/4v62s1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/5rrjj1322137445.ps tmp/5rrjj1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/6y5fk1322137445.ps tmp/6y5fk1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/7p5as1322137445.ps tmp/7p5as1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/8l65e1322137445.ps tmp/8l65e1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/9ym7f1322137445.ps tmp/9ym7f1322137445.png",intern=TRUE)) character(0) > try(system("convert tmp/10myz71322137445.ps tmp/10myz71322137445.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 3.800 0.230 4.036