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Type 'q()' to quit R. > x <- array(list(127,13,1235,115,12,1080,127,7,845,150,9,1522,156,6,1047,182,11,1979,156,12,1822,132,10,1253,137,9,1297,113,9,946,137,15,1713,117,11,1024,137,8,1147,153,6,1092,117,13,1152,126,10,1336,170,14,1131,182,8,1550,162,11,1884,184,10,2041,143,6,845,159,9,1483,108,14,1055,175,8,1545,108,6,729,179,9,1792,111,15,1175,187,8,1593,111,7,785,115,7,744,194,5,1356,168,7,1262),dim=c(3,32),dimnames=list(c('ouderdom','aanbieders','veilingprijs '),1:32)) > y <- array(NA,dim=c(3,32),dimnames=list(c('ouderdom','aanbieders','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 = 'No Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '3' > par3 <- 'No 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 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 veilingprijs\r ouderdom aanbieders 1 1235 127 13 2 1080 115 12 3 845 127 7 4 1522 150 9 5 1047 156 6 6 1979 182 11 7 1822 156 12 8 1253 132 10 9 1297 137 9 10 946 113 9 11 1713 137 15 12 1024 117 11 13 1147 137 8 14 1092 153 6 15 1152 117 13 16 1336 126 10 17 1131 170 14 18 1550 182 8 19 1884 162 11 20 2041 184 10 21 845 143 6 22 1483 159 9 23 1055 108 14 24 1545 175 8 25 729 108 6 26 1792 179 9 27 1175 111 15 28 1593 187 8 29 785 111 7 30 744 115 7 31 1356 194 5 32 1262 168 7 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) ouderdom aanbieders -921.50 11.09 64.03 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -728.60 -85.31 -13.83 130.73 305.17 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -921.503 258.686 -3.562 0.00129 ** ouderdom 11.087 1.347 8.233 4.46e-09 *** aanbieders 64.027 12.991 4.929 3.09e-05 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 198.7 on 29 degrees of freedom Multiple R-squared: 0.7249, Adjusted R-squared: 0.7059 F-statistic: 38.2 on 2 and 29 DF, p-value: 7.469e-09 > 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,] 0.279423333 0.558846666 0.72057667 [2,] 0.215157141 0.430314281 0.78484286 [3,] 0.131107349 0.262214699 0.86889265 [4,] 0.097315365 0.194630731 0.90268463 [5,] 0.063019347 0.126038693 0.93698065 [6,] 0.035781703 0.071563406 0.96421830 [7,] 0.017684647 0.035369294 0.98231535 [8,] 0.007874030 0.015748060 0.99212597 [9,] 0.003928661 0.007857321 0.99607134 [10,] 0.002020492 0.004040985 0.99797951 [11,] 0.004975121 0.009950241 0.99502488 [12,] 0.910185754 0.179628491 0.08981425 [13,] 0.861875163 0.276249674 0.13812484 [14,] 0.928196562 0.143606875 0.07180344 [15,] 0.976004725 0.047990550 0.02399527 [16,] 0.979473835 0.041052330 0.02052617 [17,] 0.966439421 0.067121158 0.03356058 [18,] 0.939680934 0.120638133 0.06031907 [19,] 0.886600059 0.226799882 0.11339994 [20,] 0.812320164 0.375359672 0.18767984 [21,] 0.962743691 0.074512619 0.03725631 > postscript(file="/var/wessaorg/rcomp/tmp/1rg2m1356088460.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2eolz1356088460.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3tuxd1356088460.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4r5xj1356088460.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5ixwz1356088460.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 -83.85133 -41.78463 -89.69017 204.26309 -145.17626 178.43647 245.66259 8 9 10 11 12 13 14 70.79598 123.38958 38.46925 155.22843 -55.93108 37.41644 -66.91630 15 16 17 18 19 20 21 -55.98479 220.31590 -728.60427 -58.48295 305.16953 282.29002 -203.04977 22 23 24 25 26 27 28 65.48321 -117.23177 14.12362 68.98309 152.75015 -94.51859 -70.91622 29 30 31 32 27.69628 -57.65034 -193.44222 -127.24295 > postscript(file="/var/wessaorg/rcomp/tmp/6bi7z1356088460.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 -83.85133 NA 1 -41.78463 -83.85133 2 -89.69017 -41.78463 3 204.26309 -89.69017 4 -145.17626 204.26309 5 178.43647 -145.17626 6 245.66259 178.43647 7 70.79598 245.66259 8 123.38958 70.79598 9 38.46925 123.38958 10 155.22843 38.46925 11 -55.93108 155.22843 12 37.41644 -55.93108 13 -66.91630 37.41644 14 -55.98479 -66.91630 15 220.31590 -55.98479 16 -728.60427 220.31590 17 -58.48295 -728.60427 18 305.16953 -58.48295 19 282.29002 305.16953 20 -203.04977 282.29002 21 65.48321 -203.04977 22 -117.23177 65.48321 23 14.12362 -117.23177 24 68.98309 14.12362 25 152.75015 68.98309 26 -94.51859 152.75015 27 -70.91622 -94.51859 28 27.69628 -70.91622 29 -57.65034 27.69628 30 -193.44222 -57.65034 31 -127.24295 -193.44222 32 NA -127.24295 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -41.78463 -83.85133 [2,] -89.69017 -41.78463 [3,] 204.26309 -89.69017 [4,] -145.17626 204.26309 [5,] 178.43647 -145.17626 [6,] 245.66259 178.43647 [7,] 70.79598 245.66259 [8,] 123.38958 70.79598 [9,] 38.46925 123.38958 [10,] 155.22843 38.46925 [11,] -55.93108 155.22843 [12,] 37.41644 -55.93108 [13,] -66.91630 37.41644 [14,] -55.98479 -66.91630 [15,] 220.31590 -55.98479 [16,] -728.60427 220.31590 [17,] -58.48295 -728.60427 [18,] 305.16953 -58.48295 [19,] 282.29002 305.16953 [20,] -203.04977 282.29002 [21,] 65.48321 -203.04977 [22,] -117.23177 65.48321 [23,] 14.12362 -117.23177 [24,] 68.98309 14.12362 [25,] 152.75015 68.98309 [26,] -94.51859 152.75015 [27,] -70.91622 -94.51859 [28,] 27.69628 -70.91622 [29,] -57.65034 27.69628 [30,] -193.44222 -57.65034 [31,] -127.24295 -193.44222 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -41.78463 -83.85133 2 -89.69017 -41.78463 3 204.26309 -89.69017 4 -145.17626 204.26309 5 178.43647 -145.17626 6 245.66259 178.43647 7 70.79598 245.66259 8 123.38958 70.79598 9 38.46925 123.38958 10 155.22843 38.46925 11 -55.93108 155.22843 12 37.41644 -55.93108 13 -66.91630 37.41644 14 -55.98479 -66.91630 15 220.31590 -55.98479 16 -728.60427 220.31590 17 -58.48295 -728.60427 18 305.16953 -58.48295 19 282.29002 305.16953 20 -203.04977 282.29002 21 65.48321 -203.04977 22 -117.23177 65.48321 23 14.12362 -117.23177 24 68.98309 14.12362 25 152.75015 68.98309 26 -94.51859 152.75015 27 -70.91622 -94.51859 28 27.69628 -70.91622 29 -57.65034 27.69628 30 -193.44222 -57.65034 31 -127.24295 -193.44222 > 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/7sfhi1356088460.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8ya4v1356088460.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/99e2t1356088460.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/1030ax1356088460.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11qh351356088460.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/12k2cu1356088460.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/13cktu1356088460.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/14dy0c1356088460.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/15anz11356088460.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/16h8ye1356088460.tab") + } > > try(system("convert tmp/1rg2m1356088460.ps tmp/1rg2m1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/2eolz1356088460.ps tmp/2eolz1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/3tuxd1356088460.ps tmp/3tuxd1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/4r5xj1356088460.ps tmp/4r5xj1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/5ixwz1356088460.ps tmp/5ixwz1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/6bi7z1356088460.ps tmp/6bi7z1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/7sfhi1356088460.ps tmp/7sfhi1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/8ya4v1356088460.ps tmp/8ya4v1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/99e2t1356088460.ps tmp/99e2t1356088460.png",intern=TRUE)) character(0) > try(system("convert tmp/1030ax1356088460.ps tmp/1030ax1356088460.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.682 1.024 6.712