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(0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0),dim=c(2,68),dimnames=list(c('T20','CorrectAnalysis'),1:68)) > y <- array(NA,dim=c(2,68),dimnames=list(c('T20','CorrectAnalysis'),1:68)) > 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 = '2' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal 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, 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 CorrectAnalysis T20 1 0 0 2 0 1 3 0 0 4 0 0 5 0 0 6 0 1 7 0 0 8 0 0 9 0 1 10 0 0 11 0 1 12 0 0 13 0 0 14 0 0 15 0 0 16 0 0 17 0 0 18 0 0 19 0 1 20 0 0 21 0 0 22 0 1 23 0 0 24 0 0 25 0 1 26 0 1 27 0 0 28 0 1 29 0 0 30 0 0 31 0 0 32 0 0 33 0 0 34 0 0 35 0 0 36 0 0 37 0 1 38 0 0 39 0 0 40 0 1 41 0 0 42 0 0 43 0 0 44 0 0 45 0 0 46 0 0 47 0 0 48 0 0 49 0 0 50 0 0 51 0 0 52 0 1 53 0 1 54 0 0 55 1 0 56 0 1 57 0 0 58 0 0 59 0 0 60 0 1 61 0 1 62 0 1 63 0 0 64 0 0 65 0 0 66 1 0 67 1 0 68 0 0 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) T20 0.05882 -0.05882 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -0.05882 -0.05882 -0.05882 0.00000 0.94118 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 0.05882 0.02896 2.031 0.0463 * T20 -0.05882 0.05793 -1.016 0.3136 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 0.2068 on 66 degrees of freedom Multiple R-squared: 0.01538, Adjusted R-squared: 0.0004662 F-statistic: 1.031 on 1 and 66 DF, p-value: 0.3136 > 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,] 0.000000e+00 0.000000e+00 1.0000000 [2,] 0.000000e+00 0.000000e+00 1.0000000 [3,] 0.000000e+00 0.000000e+00 1.0000000 [4,] 0.000000e+00 0.000000e+00 1.0000000 [5,] 0.000000e+00 0.000000e+00 1.0000000 [6,] 0.000000e+00 0.000000e+00 1.0000000 [7,] 0.000000e+00 0.000000e+00 1.0000000 [8,] 0.000000e+00 0.000000e+00 1.0000000 [9,] 0.000000e+00 0.000000e+00 1.0000000 [10,] 0.000000e+00 0.000000e+00 1.0000000 [11,] 0.000000e+00 0.000000e+00 1.0000000 [12,] 0.000000e+00 0.000000e+00 1.0000000 [13,] 0.000000e+00 0.000000e+00 1.0000000 [14,] 0.000000e+00 0.000000e+00 1.0000000 [15,] 0.000000e+00 0.000000e+00 1.0000000 [16,] 0.000000e+00 0.000000e+00 1.0000000 [17,] 0.000000e+00 0.000000e+00 1.0000000 [18,] 0.000000e+00 0.000000e+00 1.0000000 [19,] 0.000000e+00 0.000000e+00 1.0000000 [20,] 0.000000e+00 0.000000e+00 1.0000000 [21,] 0.000000e+00 0.000000e+00 1.0000000 [22,] 0.000000e+00 0.000000e+00 1.0000000 [23,] 0.000000e+00 0.000000e+00 1.0000000 [24,] 0.000000e+00 0.000000e+00 1.0000000 [25,] 0.000000e+00 0.000000e+00 1.0000000 [26,] 0.000000e+00 0.000000e+00 1.0000000 [27,] 0.000000e+00 0.000000e+00 1.0000000 [28,] 0.000000e+00 0.000000e+00 1.0000000 [29,] 0.000000e+00 0.000000e+00 1.0000000 [30,] 0.000000e+00 0.000000e+00 1.0000000 [31,] 0.000000e+00 0.000000e+00 1.0000000 [32,] 0.000000e+00 0.000000e+00 1.0000000 [33,] 0.000000e+00 0.000000e+00 1.0000000 [34,] 0.000000e+00 0.000000e+00 1.0000000 [35,] 0.000000e+00 0.000000e+00 1.0000000 [36,] 0.000000e+00 0.000000e+00 1.0000000 [37,] 0.000000e+00 0.000000e+00 1.0000000 [38,] 0.000000e+00 0.000000e+00 1.0000000 [39,] 0.000000e+00 0.000000e+00 1.0000000 [40,] 0.000000e+00 0.000000e+00 1.0000000 [41,] 0.000000e+00 0.000000e+00 1.0000000 [42,] 0.000000e+00 0.000000e+00 1.0000000 [43,] 0.000000e+00 0.000000e+00 1.0000000 [44,] 0.000000e+00 0.000000e+00 1.0000000 [45,] 0.000000e+00 0.000000e+00 1.0000000 [46,] 0.000000e+00 0.000000e+00 1.0000000 [47,] 0.000000e+00 0.000000e+00 1.0000000 [48,] 0.000000e+00 0.000000e+00 1.0000000 [49,] 0.000000e+00 0.000000e+00 1.0000000 [50,] 0.000000e+00 0.000000e+00 1.0000000 [51,] 1.006306e-07 2.012613e-07 0.9999999 [52,] 3.284565e-08 6.569130e-08 1.0000000 [53,] 1.782255e-08 3.564510e-08 1.0000000 [54,] 1.121028e-08 2.242056e-08 1.0000000 [55,] 9.179819e-09 1.835964e-08 1.0000000 [56,] 2.382636e-09 4.765271e-09 1.0000000 [57,] 5.555257e-10 1.111051e-09 1.0000000 [58,] 1.135570e-10 2.271139e-10 1.0000000 [59,] 1.181559e-10 2.363118e-10 1.0000000 > postscript(file="/var/fisher/rcomp/tmp/1t4v71356001310.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/2u7b71356001310.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/38ry01356001310.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/40c781356001310.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/51hpf1356001310.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 = 68 Frequency = 1 1 2 3 4 5 -5.882353e-02 4.857056e-17 -5.882353e-02 -5.882353e-02 -5.882353e-02 6 7 8 9 10 -1.736418e-18 -5.882353e-02 -5.882353e-02 -1.736418e-18 -5.882353e-02 11 12 13 14 15 -1.736418e-18 -5.882353e-02 -5.882353e-02 -5.882353e-02 -5.882353e-02 16 17 18 19 20 -5.882353e-02 -5.882353e-02 -5.882353e-02 -1.736418e-18 -5.882353e-02 21 22 23 24 25 -5.882353e-02 -1.736418e-18 -5.882353e-02 -5.882353e-02 -1.736418e-18 26 27 28 29 30 -1.736418e-18 -5.882353e-02 -1.736418e-18 -5.882353e-02 -5.882353e-02 31 32 33 34 35 -5.882353e-02 -5.882353e-02 -5.882353e-02 -5.882353e-02 -5.882353e-02 36 37 38 39 40 -5.882353e-02 -1.736418e-18 -5.882353e-02 -5.882353e-02 -1.736418e-18 41 42 43 44 45 -5.882353e-02 -5.882353e-02 -5.882353e-02 -5.882353e-02 -5.882353e-02 46 47 48 49 50 -5.882353e-02 -5.882353e-02 -5.882353e-02 -5.882353e-02 -5.882353e-02 51 52 53 54 55 -5.882353e-02 -1.736418e-18 -1.736418e-18 -5.882353e-02 9.411765e-01 56 57 58 59 60 -1.736418e-18 -5.882353e-02 -5.882353e-02 -5.882353e-02 -1.736418e-18 61 62 63 64 65 -1.736418e-18 -1.736418e-18 -5.882353e-02 -5.882353e-02 -5.882353e-02 66 67 68 9.411765e-01 9.411765e-01 -5.882353e-02 > postscript(file="/var/fisher/rcomp/tmp/6ivgf1356001310.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 = 68 Frequency = 1 lag(myerror, k = 1) myerror 0 -5.882353e-02 NA 1 4.857056e-17 -5.882353e-02 2 -5.882353e-02 4.857056e-17 3 -5.882353e-02 -5.882353e-02 4 -5.882353e-02 -5.882353e-02 5 -1.736418e-18 -5.882353e-02 6 -5.882353e-02 -1.736418e-18 7 -5.882353e-02 -5.882353e-02 8 -1.736418e-18 -5.882353e-02 9 -5.882353e-02 -1.736418e-18 10 -1.736418e-18 -5.882353e-02 11 -5.882353e-02 -1.736418e-18 12 -5.882353e-02 -5.882353e-02 13 -5.882353e-02 -5.882353e-02 14 -5.882353e-02 -5.882353e-02 15 -5.882353e-02 -5.882353e-02 16 -5.882353e-02 -5.882353e-02 17 -5.882353e-02 -5.882353e-02 18 -1.736418e-18 -5.882353e-02 19 -5.882353e-02 -1.736418e-18 20 -5.882353e-02 -5.882353e-02 21 -1.736418e-18 -5.882353e-02 22 -5.882353e-02 -1.736418e-18 23 -5.882353e-02 -5.882353e-02 24 -1.736418e-18 -5.882353e-02 25 -1.736418e-18 -1.736418e-18 26 -5.882353e-02 -1.736418e-18 27 -1.736418e-18 -5.882353e-02 28 -5.882353e-02 -1.736418e-18 29 -5.882353e-02 -5.882353e-02 30 -5.882353e-02 -5.882353e-02 31 -5.882353e-02 -5.882353e-02 32 -5.882353e-02 -5.882353e-02 33 -5.882353e-02 -5.882353e-02 34 -5.882353e-02 -5.882353e-02 35 -5.882353e-02 -5.882353e-02 36 -1.736418e-18 -5.882353e-02 37 -5.882353e-02 -1.736418e-18 38 -5.882353e-02 -5.882353e-02 39 -1.736418e-18 -5.882353e-02 40 -5.882353e-02 -1.736418e-18 41 -5.882353e-02 -5.882353e-02 42 -5.882353e-02 -5.882353e-02 43 -5.882353e-02 -5.882353e-02 44 -5.882353e-02 -5.882353e-02 45 -5.882353e-02 -5.882353e-02 46 -5.882353e-02 -5.882353e-02 47 -5.882353e-02 -5.882353e-02 48 -5.882353e-02 -5.882353e-02 49 -5.882353e-02 -5.882353e-02 50 -5.882353e-02 -5.882353e-02 51 -1.736418e-18 -5.882353e-02 52 -1.736418e-18 -1.736418e-18 53 -5.882353e-02 -1.736418e-18 54 9.411765e-01 -5.882353e-02 55 -1.736418e-18 9.411765e-01 56 -5.882353e-02 -1.736418e-18 57 -5.882353e-02 -5.882353e-02 58 -5.882353e-02 -5.882353e-02 59 -1.736418e-18 -5.882353e-02 60 -1.736418e-18 -1.736418e-18 61 -1.736418e-18 -1.736418e-18 62 -5.882353e-02 -1.736418e-18 63 -5.882353e-02 -5.882353e-02 64 -5.882353e-02 -5.882353e-02 65 9.411765e-01 -5.882353e-02 66 9.411765e-01 9.411765e-01 67 -5.882353e-02 9.411765e-01 68 NA -5.882353e-02 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 4.857056e-17 -5.882353e-02 [2,] -5.882353e-02 4.857056e-17 [3,] -5.882353e-02 -5.882353e-02 [4,] -5.882353e-02 -5.882353e-02 [5,] -1.736418e-18 -5.882353e-02 [6,] -5.882353e-02 -1.736418e-18 [7,] -5.882353e-02 -5.882353e-02 [8,] -1.736418e-18 -5.882353e-02 [9,] -5.882353e-02 -1.736418e-18 [10,] -1.736418e-18 -5.882353e-02 [11,] -5.882353e-02 -1.736418e-18 [12,] -5.882353e-02 -5.882353e-02 [13,] -5.882353e-02 -5.882353e-02 [14,] -5.882353e-02 -5.882353e-02 [15,] -5.882353e-02 -5.882353e-02 [16,] -5.882353e-02 -5.882353e-02 [17,] -5.882353e-02 -5.882353e-02 [18,] -1.736418e-18 -5.882353e-02 [19,] -5.882353e-02 -1.736418e-18 [20,] -5.882353e-02 -5.882353e-02 [21,] -1.736418e-18 -5.882353e-02 [22,] -5.882353e-02 -1.736418e-18 [23,] -5.882353e-02 -5.882353e-02 [24,] -1.736418e-18 -5.882353e-02 [25,] -1.736418e-18 -1.736418e-18 [26,] -5.882353e-02 -1.736418e-18 [27,] -1.736418e-18 -5.882353e-02 [28,] -5.882353e-02 -1.736418e-18 [29,] -5.882353e-02 -5.882353e-02 [30,] -5.882353e-02 -5.882353e-02 [31,] -5.882353e-02 -5.882353e-02 [32,] -5.882353e-02 -5.882353e-02 [33,] -5.882353e-02 -5.882353e-02 [34,] -5.882353e-02 -5.882353e-02 [35,] -5.882353e-02 -5.882353e-02 [36,] -1.736418e-18 -5.882353e-02 [37,] -5.882353e-02 -1.736418e-18 [38,] -5.882353e-02 -5.882353e-02 [39,] -1.736418e-18 -5.882353e-02 [40,] -5.882353e-02 -1.736418e-18 [41,] -5.882353e-02 -5.882353e-02 [42,] -5.882353e-02 -5.882353e-02 [43,] -5.882353e-02 -5.882353e-02 [44,] -5.882353e-02 -5.882353e-02 [45,] -5.882353e-02 -5.882353e-02 [46,] -5.882353e-02 -5.882353e-02 [47,] -5.882353e-02 -5.882353e-02 [48,] -5.882353e-02 -5.882353e-02 [49,] -5.882353e-02 -5.882353e-02 [50,] -5.882353e-02 -5.882353e-02 [51,] -1.736418e-18 -5.882353e-02 [52,] -1.736418e-18 -1.736418e-18 [53,] -5.882353e-02 -1.736418e-18 [54,] 9.411765e-01 -5.882353e-02 [55,] -1.736418e-18 9.411765e-01 [56,] -5.882353e-02 -1.736418e-18 [57,] -5.882353e-02 -5.882353e-02 [58,] -5.882353e-02 -5.882353e-02 [59,] -1.736418e-18 -5.882353e-02 [60,] -1.736418e-18 -1.736418e-18 [61,] -1.736418e-18 -1.736418e-18 [62,] -5.882353e-02 -1.736418e-18 [63,] -5.882353e-02 -5.882353e-02 [64,] -5.882353e-02 -5.882353e-02 [65,] 9.411765e-01 -5.882353e-02 [66,] 9.411765e-01 9.411765e-01 [67,] -5.882353e-02 9.411765e-01 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 4.857056e-17 -5.882353e-02 2 -5.882353e-02 4.857056e-17 3 -5.882353e-02 -5.882353e-02 4 -5.882353e-02 -5.882353e-02 5 -1.736418e-18 -5.882353e-02 6 -5.882353e-02 -1.736418e-18 7 -5.882353e-02 -5.882353e-02 8 -1.736418e-18 -5.882353e-02 9 -5.882353e-02 -1.736418e-18 10 -1.736418e-18 -5.882353e-02 11 -5.882353e-02 -1.736418e-18 12 -5.882353e-02 -5.882353e-02 13 -5.882353e-02 -5.882353e-02 14 -5.882353e-02 -5.882353e-02 15 -5.882353e-02 -5.882353e-02 16 -5.882353e-02 -5.882353e-02 17 -5.882353e-02 -5.882353e-02 18 -1.736418e-18 -5.882353e-02 19 -5.882353e-02 -1.736418e-18 20 -5.882353e-02 -5.882353e-02 21 -1.736418e-18 -5.882353e-02 22 -5.882353e-02 -1.736418e-18 23 -5.882353e-02 -5.882353e-02 24 -1.736418e-18 -5.882353e-02 25 -1.736418e-18 -1.736418e-18 26 -5.882353e-02 -1.736418e-18 27 -1.736418e-18 -5.882353e-02 28 -5.882353e-02 -1.736418e-18 29 -5.882353e-02 -5.882353e-02 30 -5.882353e-02 -5.882353e-02 31 -5.882353e-02 -5.882353e-02 32 -5.882353e-02 -5.882353e-02 33 -5.882353e-02 -5.882353e-02 34 -5.882353e-02 -5.882353e-02 35 -5.882353e-02 -5.882353e-02 36 -1.736418e-18 -5.882353e-02 37 -5.882353e-02 -1.736418e-18 38 -5.882353e-02 -5.882353e-02 39 -1.736418e-18 -5.882353e-02 40 -5.882353e-02 -1.736418e-18 41 -5.882353e-02 -5.882353e-02 42 -5.882353e-02 -5.882353e-02 43 -5.882353e-02 -5.882353e-02 44 -5.882353e-02 -5.882353e-02 45 -5.882353e-02 -5.882353e-02 46 -5.882353e-02 -5.882353e-02 47 -5.882353e-02 -5.882353e-02 48 -5.882353e-02 -5.882353e-02 49 -5.882353e-02 -5.882353e-02 50 -5.882353e-02 -5.882353e-02 51 -1.736418e-18 -5.882353e-02 52 -1.736418e-18 -1.736418e-18 53 -5.882353e-02 -1.736418e-18 54 9.411765e-01 -5.882353e-02 55 -1.736418e-18 9.411765e-01 56 -5.882353e-02 -1.736418e-18 57 -5.882353e-02 -5.882353e-02 58 -5.882353e-02 -5.882353e-02 59 -1.736418e-18 -5.882353e-02 60 -1.736418e-18 -1.736418e-18 61 -1.736418e-18 -1.736418e-18 62 -5.882353e-02 -1.736418e-18 63 -5.882353e-02 -5.882353e-02 64 -5.882353e-02 -5.882353e-02 65 9.411765e-01 -5.882353e-02 66 9.411765e-01 9.411765e-01 67 -5.882353e-02 9.411765e-01 > 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/7d5lk1356001310.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/887h41356001310.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/94qxd1356001310.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/fisher/rcomp/tmp/10rggc1356001310.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11ol9h1356001310.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/12ylpo1356001310.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/132up31356001311.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/14ief61356001311.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/15f0j61356001311.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/16vt761356001311.tab") + } > > try(system("convert tmp/1t4v71356001310.ps tmp/1t4v71356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/2u7b71356001310.ps tmp/2u7b71356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/38ry01356001310.ps tmp/38ry01356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/40c781356001310.ps tmp/40c781356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/51hpf1356001310.ps tmp/51hpf1356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/6ivgf1356001310.ps tmp/6ivgf1356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/7d5lk1356001310.ps tmp/7d5lk1356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/887h41356001310.ps tmp/887h41356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/94qxd1356001310.ps tmp/94qxd1356001310.png",intern=TRUE)) character(0) > try(system("convert tmp/10rggc1356001310.ps tmp/10rggc1356001310.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 6.243 1.722 7.979