R version 2.12.0 (2010-10-15) Copyright (C) 2010 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i486-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(9 + ,24 + ,14 + ,11 + ,12 + ,24 + ,26 + ,9 + ,25 + ,11 + ,7 + ,8 + ,25 + ,23 + ,9 + ,17 + ,6 + ,17 + ,8 + ,30 + ,25 + ,9 + ,18 + ,12 + ,10 + ,8 + ,19 + ,23 + ,9 + ,18 + ,8 + ,12 + ,9 + ,22 + ,19 + ,9 + ,16 + ,10 + ,12 + ,7 + ,22 + ,29 + ,10 + ,20 + ,10 + ,11 + ,4 + ,25 + ,25 + ,10 + ,16 + ,11 + ,11 + ,11 + ,23 + ,21 + ,10 + ,18 + ,16 + ,12 + ,7 + ,17 + ,22 + ,10 + ,17 + ,11 + ,13 + ,7 + ,21 + ,25 + ,10 + ,23 + ,13 + ,14 + ,12 + ,19 + ,24 + ,10 + ,30 + ,12 + ,16 + ,10 + ,19 + ,18 + ,10 + ,23 + ,8 + ,11 + ,10 + ,15 + ,22 + ,10 + ,18 + ,12 + ,10 + ,8 + ,16 + ,15 + ,10 + ,15 + ,11 + ,11 + ,8 + ,23 + ,22 + ,10 + ,12 + ,4 + ,15 + ,4 + ,27 + ,28 + ,10 + ,21 + ,9 + ,9 + ,9 + ,22 + ,20 + ,10 + ,15 + ,8 + ,11 + ,8 + ,14 + ,12 + ,10 + ,20 + ,8 + ,17 + ,7 + ,22 + ,24 + ,10 + ,31 + ,14 + ,17 + ,11 + ,23 + ,20 + ,10 + ,27 + ,15 + ,11 + ,9 + ,23 + ,21 + ,10 + ,34 + ,16 + ,18 + ,11 + ,21 + ,20 + ,10 + ,21 + ,9 + ,14 + ,13 + ,19 + ,21 + ,10 + ,31 + ,14 + ,10 + ,8 + ,18 + ,23 + ,10 + ,19 + ,11 + ,11 + ,8 + ,20 + ,28 + ,10 + ,16 + ,8 + ,15 + ,9 + ,23 + ,24 + ,10 + ,20 + ,9 + ,15 + ,6 + ,25 + ,24 + ,10 + ,21 + ,9 + ,13 + ,9 + ,19 + ,24 + ,10 + ,22 + ,9 + ,16 + ,9 + ,24 + ,23 + ,10 + ,17 + ,9 + ,13 + ,6 + ,22 + ,23 + ,10 + ,24 + ,10 + ,9 + ,6 + ,25 + ,29 + ,10 + ,25 + ,16 + ,18 + ,16 + ,26 + ,24 + ,10 + ,26 + ,11 + ,18 + ,5 + ,29 + ,18 + ,10 + ,25 + ,8 + ,12 + ,7 + ,32 + ,25 + ,10 + ,17 + ,9 + ,17 + ,9 + ,25 + ,21 + ,10 + ,32 + ,16 + ,9 + ,6 + ,29 + ,26 + ,10 + ,33 + ,11 + ,9 + ,6 + ,28 + ,22 + ,10 + ,13 + ,16 + ,12 + ,5 + ,17 + ,22 + ,10 + ,32 + ,12 + ,18 + ,12 + ,28 + ,22 + ,10 + ,25 + ,12 + ,12 + ,7 + ,29 + ,23 + ,10 + ,29 + ,14 + ,18 + ,10 + ,26 + ,30 + ,10 + ,22 + ,9 + ,14 + ,9 + ,25 + ,23 + ,10 + ,18 + ,10 + ,15 + ,8 + ,14 + ,17 + ,10 + ,17 + ,9 + ,16 + ,5 + ,25 + ,23 + ,10 + ,20 + ,10 + ,10 + ,8 + ,26 + ,23 + ,10 + ,15 + ,12 + ,11 + ,8 + ,20 + ,25 + ,10 + ,20 + ,14 + ,14 + ,10 + ,18 + ,24 + ,10 + ,33 + ,14 + ,9 + ,6 + ,32 + ,24 + ,10 + ,29 + ,10 + ,12 + ,8 + ,25 + ,23 + ,10 + ,23 + ,14 + ,17 + ,7 + ,25 + ,21 + ,10 + ,26 + ,16 + ,5 + ,4 + ,23 + ,24 + ,10 + ,18 + ,9 + ,12 + ,8 + ,21 + ,24 + ,10 + ,20 + ,10 + ,12 + ,8 + ,20 + ,28 + ,10 + ,11 + ,6 + ,6 + ,4 + ,15 + ,16 + ,10 + ,28 + ,8 + ,24 + ,20 + ,30 + ,20 + ,10 + ,26 + ,13 + ,12 + ,8 + ,24 + ,29 + ,10 + ,22 + ,10 + ,12 + ,8 + ,26 + ,27 + ,10 + ,17 + ,8 + ,14 + ,6 + ,24 + ,22 + ,10 + ,12 + ,7 + ,7 + ,4 + ,22 + ,28 + ,10 + ,14 + ,15 + ,13 + ,8 + ,14 + ,16 + ,10 + ,17 + ,9 + ,12 + ,9 + ,24 + ,25 + ,10 + ,21 + ,10 + ,13 + ,6 + ,24 + ,24 + ,10 + ,19 + ,12 + ,14 + ,7 + ,24 + ,28 + ,10 + ,18 + ,13 + ,8 + ,9 + ,24 + ,24 + ,10 + ,10 + ,10 + ,11 + ,5 + ,19 + ,23 + ,10 + ,29 + ,11 + ,9 + ,5 + ,31 + ,30 + ,10 + ,31 + ,8 + ,11 + ,8 + ,22 + ,24 + ,10 + ,19 + ,9 + ,13 + ,8 + ,27 + ,21 + ,10 + ,9 + ,13 + ,10 + ,6 + ,19 + ,25 + ,10 + ,20 + ,11 + ,11 + ,8 + ,25 + ,25 + ,10 + ,28 + ,8 + ,12 + ,7 + ,20 + ,22 + ,10 + ,19 + ,9 + ,9 + ,7 + ,21 + ,23 + ,10 + ,30 + ,9 + ,15 + ,9 + ,27 + ,26 + ,10 + ,29 + ,15 + ,18 + ,11 + ,23 + ,23 + ,10 + ,26 + ,9 + ,15 + ,6 + ,25 + ,25 + ,10 + ,23 + ,10 + ,12 + ,8 + ,20 + ,21 + ,10 + ,13 + ,14 + ,13 + ,6 + ,21 + ,25 + ,10 + ,21 + ,12 + ,14 + ,9 + ,22 + ,24 + ,10 + ,19 + ,12 + ,10 + ,8 + ,23 + ,29 + ,10 + ,28 + ,11 + ,13 + ,6 + ,25 + ,22 + ,10 + ,23 + ,14 + ,13 + ,10 + ,25 + ,27 + ,10 + ,18 + ,6 + ,11 + ,8 + ,17 + ,26 + ,10 + ,21 + ,12 + ,13 + ,8 + ,19 + ,22 + ,10 + ,20 + ,8 + ,16 + ,10 + ,25 + ,24 + ,10 + ,23 + ,14 + ,8 + ,5 + ,19 + ,27 + ,10 + ,21 + ,11 + ,16 + ,7 + ,20 + ,24 + ,10 + ,21 + ,10 + ,11 + ,5 + ,26 + ,24 + ,10 + ,15 + ,14 + ,9 + ,8 + ,23 + ,29 + ,10 + ,28 + ,12 + ,16 + ,14 + ,27 + ,22 + ,10 + ,19 + ,10 + ,12 + ,7 + ,17 + ,21 + ,10 + ,26 + ,14 + ,14 + ,8 + ,17 + ,24 + ,10 + ,10 + ,5 + ,8 + ,6 + ,19 + ,24 + ,10 + ,16 + ,11 + ,9 + ,5 + ,17 + ,23 + ,10 + ,22 + ,10 + ,15 + ,6 + ,22 + ,20 + ,10 + ,19 + ,9 + ,11 + ,10 + ,21 + ,27 + ,10 + ,31 + ,10 + ,21 + ,12 + ,32 + ,26 + ,10 + ,31 + ,16 + ,14 + ,9 + ,21 + ,25 + ,10 + ,29 + ,13 + ,18 + ,12 + ,21 + ,21 + ,10 + ,19 + ,9 + ,12 + ,7 + ,18 + ,21 + ,10 + ,22 + ,10 + ,13 + ,8 + ,18 + ,19 + ,10 + ,23 + ,10 + ,15 + ,10 + ,23 + ,21 + ,10 + ,15 + ,7 + ,12 + ,6 + ,19 + ,21 + ,10 + ,20 + ,9 + ,19 + ,10 + ,20 + ,16 + ,10 + ,18 + ,8 + ,15 + ,10 + ,21 + ,22 + ,10 + ,23 + ,14 + ,11 + ,10 + ,20 + ,29 + ,10 + ,25 + ,14 + ,11 + ,5 + ,17 + ,15 + ,10 + ,21 + ,8 + ,10 + ,7 + ,18 + ,17 + ,10 + ,24 + ,9 + ,13 + ,10 + ,19 + ,15 + ,10 + ,25 + ,14 + ,15 + ,11 + ,22 + ,21 + ,10 + ,17 + ,14 + ,12 + ,6 + ,15 + ,21 + ,10 + ,13 + ,8 + ,12 + ,7 + ,14 + ,19 + ,10 + ,28 + ,8 + ,16 + ,12 + ,18 + ,24 + ,10 + ,21 + ,8 + ,9 + ,11 + ,24 + ,20 + ,10 + ,25 + ,7 + ,18 + ,11 + ,35 + ,17 + ,10 + ,9 + ,6 + ,8 + ,11 + ,29 + ,23 + ,10 + ,16 + ,8 + ,13 + ,5 + ,21 + ,24 + ,10 + ,19 + ,6 + ,17 + ,8 + ,25 + ,14 + ,10 + ,17 + ,11 + ,9 + ,6 + ,20 + ,19 + ,10 + ,25 + ,14 + ,15 + ,9 + ,22 + ,24 + ,10 + ,20 + ,11 + ,8 + ,4 + ,13 + ,13 + ,10 + ,29 + ,11 + ,7 + ,4 + ,26 + ,22 + ,10 + ,14 + ,11 + ,12 + ,7 + ,17 + ,16 + ,10 + ,22 + ,14 + ,14 + ,11 + ,25 + ,19 + ,10 + ,15 + ,8 + ,6 + ,6 + ,20 + ,25 + ,10 + ,19 + ,20 + ,8 + ,7 + ,19 + ,25 + ,10 + ,20 + ,11 + ,17 + ,8 + ,21 + ,23 + ,10 + ,15 + ,8 + ,10 + ,4 + ,22 + ,24 + ,10 + ,20 + ,11 + ,11 + ,8 + ,24 + ,26 + ,10 + ,18 + ,10 + ,14 + ,9 + ,21 + ,26 + ,10 + ,33 + ,14 + ,11 + ,8 + ,26 + ,25 + ,10 + ,22 + ,11 + ,13 + ,11 + ,24 + ,18 + ,10 + ,16 + ,9 + ,12 + ,8 + ,16 + ,21 + ,10 + ,17 + ,9 + ,11 + ,5 + ,23 + ,26 + ,10 + ,16 + ,8 + ,9 + ,4 + ,18 + ,23 + ,10 + ,21 + ,10 + ,12 + ,8 + ,16 + ,23 + ,10 + ,26 + ,13 + ,20 + ,10 + ,26 + ,22 + ,10 + ,18 + ,13 + ,12 + ,6 + ,19 + ,20 + ,10 + ,18 + ,12 + ,13 + ,9 + ,21 + ,13 + ,10 + ,17 + ,8 + ,12 + ,9 + ,21 + ,24 + ,10 + ,22 + ,13 + ,12 + ,13 + ,22 + ,15 + ,10 + ,30 + ,14 + ,9 + ,9 + ,23 + ,14 + ,10 + ,30 + ,12 + ,15 + ,10 + ,29 + ,22 + ,10 + ,24 + ,14 + ,24 + ,20 + ,21 + ,10 + ,10 + ,21 + ,15 + ,7 + ,5 + ,21 + ,24 + ,10 + ,21 + ,13 + ,17 + ,11 + ,23 + ,22 + ,10 + ,29 + ,16 + ,11 + ,6 + ,27 + ,24 + ,10 + ,31 + ,9 + ,17 + ,9 + ,25 + ,19 + ,10 + ,20 + ,9 + ,11 + ,7 + ,21 + ,20 + ,10 + ,16 + ,9 + ,12 + ,9 + ,10 + ,13 + ,10 + ,22 + ,8 + ,14 + ,10 + ,20 + ,20 + ,10 + ,20 + ,7 + ,11 + ,9 + ,26 + ,22 + ,10 + ,28 + ,16 + ,16 + ,8 + ,24 + ,24 + ,10 + ,38 + ,11 + ,21 + ,7 + ,29 + ,29 + ,10 + ,22 + ,9 + ,14 + ,6 + ,19 + ,12 + ,10 + ,20 + ,11 + ,20 + ,13 + ,24 + ,20 + ,10 + ,17 + ,9 + ,13 + ,6 + ,19 + ,21 + ,10 + ,28 + ,14 + ,11 + ,8 + ,24 + ,24 + ,10 + ,22 + ,13 + ,15 + ,10 + ,22 + ,22 + ,10 + ,31 + ,16 + ,19 + ,16 + ,17 + ,20) + ,dim=c(7 + ,159) + ,dimnames=list(c('month' + ,'concern' + ,'doubts' + ,'expectations' + ,'criticism' + ,'standard' + ,'organisation') + ,1:159)) > y <- array(NA,dim=c(7,159),dimnames=list(c('month','concern','doubts','expectations','criticism','standard','organisation'),1:159)) > 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' > #'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 concern month doubts expectations criticism standard organisation 1 24 9 14 11 12 24 26 2 25 9 11 7 8 25 23 3 17 9 6 17 8 30 25 4 18 9 12 10 8 19 23 5 18 9 8 12 9 22 19 6 16 9 10 12 7 22 29 7 20 10 10 11 4 25 25 8 16 10 11 11 11 23 21 9 18 10 16 12 7 17 22 10 17 10 11 13 7 21 25 11 23 10 13 14 12 19 24 12 30 10 12 16 10 19 18 13 23 10 8 11 10 15 22 14 18 10 12 10 8 16 15 15 15 10 11 11 8 23 22 16 12 10 4 15 4 27 28 17 21 10 9 9 9 22 20 18 15 10 8 11 8 14 12 19 20 10 8 17 7 22 24 20 31 10 14 17 11 23 20 21 27 10 15 11 9 23 21 22 34 10 16 18 11 21 20 23 21 10 9 14 13 19 21 24 31 10 14 10 8 18 23 25 19 10 11 11 8 20 28 26 16 10 8 15 9 23 24 27 20 10 9 15 6 25 24 28 21 10 9 13 9 19 24 29 22 10 9 16 9 24 23 30 17 10 9 13 6 22 23 31 24 10 10 9 6 25 29 32 25 10 16 18 16 26 24 33 26 10 11 18 5 29 18 34 25 10 8 12 7 32 25 35 17 10 9 17 9 25 21 36 32 10 16 9 6 29 26 37 33 10 11 9 6 28 22 38 13 10 16 12 5 17 22 39 32 10 12 18 12 28 22 40 25 10 12 12 7 29 23 41 29 10 14 18 10 26 30 42 22 10 9 14 9 25 23 43 18 10 10 15 8 14 17 44 17 10 9 16 5 25 23 45 20 10 10 10 8 26 23 46 15 10 12 11 8 20 25 47 20 10 14 14 10 18 24 48 33 10 14 9 6 32 24 49 29 10 10 12 8 25 23 50 23 10 14 17 7 25 21 51 26 10 16 5 4 23 24 52 18 10 9 12 8 21 24 53 20 10 10 12 8 20 28 54 11 10 6 6 4 15 16 55 28 10 8 24 20 30 20 56 26 10 13 12 8 24 29 57 22 10 10 12 8 26 27 58 17 10 8 14 6 24 22 59 12 10 7 7 4 22 28 60 14 10 15 13 8 14 16 61 17 10 9 12 9 24 25 62 21 10 10 13 6 24 24 63 19 10 12 14 7 24 28 64 18 10 13 8 9 24 24 65 10 10 10 11 5 19 23 66 29 10 11 9 5 31 30 67 31 10 8 11 8 22 24 68 19 10 9 13 8 27 21 69 9 10 13 10 6 19 25 70 20 10 11 11 8 25 25 71 28 10 8 12 7 20 22 72 19 10 9 9 7 21 23 73 30 10 9 15 9 27 26 74 29 10 15 18 11 23 23 75 26 10 9 15 6 25 25 76 23 10 10 12 8 20 21 77 13 10 14 13 6 21 25 78 21 10 12 14 9 22 24 79 19 10 12 10 8 23 29 80 28 10 11 13 6 25 22 81 23 10 14 13 10 25 27 82 18 10 6 11 8 17 26 83 21 10 12 13 8 19 22 84 20 10 8 16 10 25 24 85 23 10 14 8 5 19 27 86 21 10 11 16 7 20 24 87 21 10 10 11 5 26 24 88 15 10 14 9 8 23 29 89 28 10 12 16 14 27 22 90 19 10 10 12 7 17 21 91 26 10 14 14 8 17 24 92 10 10 5 8 6 19 24 93 16 10 11 9 5 17 23 94 22 10 10 15 6 22 20 95 19 10 9 11 10 21 27 96 31 10 10 21 12 32 26 97 31 10 16 14 9 21 25 98 29 10 13 18 12 21 21 99 19 10 9 12 7 18 21 100 22 10 10 13 8 18 19 101 23 10 10 15 10 23 21 102 15 10 7 12 6 19 21 103 20 10 9 19 10 20 16 104 18 10 8 15 10 21 22 105 23 10 14 11 10 20 29 106 25 10 14 11 5 17 15 107 21 10 8 10 7 18 17 108 24 10 9 13 10 19 15 109 25 10 14 15 11 22 21 110 17 10 14 12 6 15 21 111 13 10 8 12 7 14 19 112 28 10 8 16 12 18 24 113 21 10 8 9 11 24 20 114 25 10 7 18 11 35 17 115 9 10 6 8 11 29 23 116 16 10 8 13 5 21 24 117 19 10 6 17 8 25 14 118 17 10 11 9 6 20 19 119 25 10 14 15 9 22 24 120 20 10 11 8 4 13 13 121 29 10 11 7 4 26 22 122 14 10 11 12 7 17 16 123 22 10 14 14 11 25 19 124 15 10 8 6 6 20 25 125 19 10 20 8 7 19 25 126 20 10 11 17 8 21 23 127 15 10 8 10 4 22 24 128 20 10 11 11 8 24 26 129 18 10 10 14 9 21 26 130 33 10 14 11 8 26 25 131 22 10 11 13 11 24 18 132 16 10 9 12 8 16 21 133 17 10 9 11 5 23 26 134 16 10 8 9 4 18 23 135 21 10 10 12 8 16 23 136 26 10 13 20 10 26 22 137 18 10 13 12 6 19 20 138 18 10 12 13 9 21 13 139 17 10 8 12 9 21 24 140 22 10 13 12 13 22 15 141 30 10 14 9 9 23 14 142 30 10 12 15 10 29 22 143 24 10 14 24 20 21 10 144 21 10 15 7 5 21 24 145 21 10 13 17 11 23 22 146 29 10 16 11 6 27 24 147 31 10 9 17 9 25 19 148 20 10 9 11 7 21 20 149 16 10 9 12 9 10 13 150 22 10 8 14 10 20 20 151 20 10 7 11 9 26 22 152 28 10 16 16 8 24 24 153 38 10 11 21 7 29 29 154 22 10 9 14 6 19 12 155 20 10 11 20 13 24 20 156 17 10 9 13 6 19 21 157 28 10 14 11 8 24 24 158 22 10 13 15 10 22 22 159 31 10 16 19 16 17 20 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) month doubts expectations criticism -20.5406 1.8521 0.8008 0.2339 0.2084 standard organisation 0.5713 -0.1083 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -12.0231 -2.5477 -0.3887 2.7002 12.4062 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -20.54062 19.25619 -1.067 0.2878 month 1.85205 1.89629 0.977 0.3303 doubts 0.80075 0.13071 6.126 7.37e-09 *** expectations 0.23389 0.13396 1.746 0.0828 . criticism 0.20845 0.16952 1.230 0.2207 standard 0.57125 0.09597 5.952 1.76e-08 *** organisation -0.10833 0.10332 -1.049 0.2960 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 4.478 on 152 degrees of freedom Multiple R-squared: 0.4109, Adjusted R-squared: 0.3876 F-statistic: 17.67 on 6 and 152 DF, p-value: 1.807e-15 > 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,] 0.09706704 0.19413408 0.90293296 [2,] 0.35239373 0.70478746 0.64760627 [3,] 0.74156618 0.51686764 0.25843382 [4,] 0.75469718 0.49060563 0.24530282 [5,] 0.72544848 0.54910305 0.27455152 [6,] 0.72223313 0.55553375 0.27776687 [7,] 0.65232873 0.69534255 0.34767127 [8,] 0.57238676 0.85522649 0.42761324 [9,] 0.54185950 0.91628100 0.45814050 [10,] 0.47467688 0.94935376 0.52532312 [11,] 0.50584272 0.98831456 0.49415728 [12,] 0.45953680 0.91907360 0.54046320 [13,] 0.46150227 0.92300453 0.53849773 [14,] 0.39596743 0.79193486 0.60403257 [15,] 0.65039680 0.69920641 0.34960320 [16,] 0.58147041 0.83705918 0.41852959 [17,] 0.55296922 0.89406156 0.44703078 [18,] 0.48923338 0.97846677 0.51076662 [19,] 0.43944382 0.87888764 0.56055618 [20,] 0.37559732 0.75119464 0.62440268 [21,] 0.32027279 0.64054558 0.67972721 [22,] 0.36296208 0.72592416 0.63703792 [23,] 0.43846828 0.87693656 0.56153172 [24,] 0.39239087 0.78478175 0.60760913 [25,] 0.38617622 0.77235244 0.61382378 [26,] 0.40248223 0.80496447 0.59751777 [27,] 0.38317035 0.76634071 0.61682965 [28,] 0.53978898 0.92042205 0.46021102 [29,] 0.73767220 0.52465559 0.26232780 [30,] 0.72858217 0.54283566 0.27141783 [31,] 0.68684214 0.62631572 0.31315786 [32,] 0.65766200 0.68467599 0.34233800 [33,] 0.60574671 0.78850657 0.39425329 [34,] 0.55656401 0.88687198 0.44343599 [35,] 0.54185577 0.91628846 0.45814423 [36,] 0.51558758 0.96882483 0.48441242 [37,] 0.54692661 0.90614677 0.45307339 [38,] 0.50650358 0.98699283 0.49349642 [39,] 0.49152767 0.98305534 0.50847233 [40,] 0.54704241 0.90591518 0.45295759 [41,] 0.52249916 0.95500168 0.47750084 [42,] 0.48554144 0.97108289 0.51445856 [43,] 0.43683076 0.87366152 0.56316924 [44,] 0.39480406 0.78960812 0.60519594 [45,] 0.35025969 0.70051937 0.64974031 [46,] 0.31185243 0.62370487 0.68814757 [47,] 0.28222319 0.56444638 0.71777681 [48,] 0.24196538 0.48393076 0.75803462 [49,] 0.22024925 0.44049850 0.77975075 [50,] 0.20611693 0.41223385 0.79388307 [51,] 0.25873335 0.51746669 0.74126665 [52,] 0.25250093 0.50500186 0.74749907 [53,] 0.21659210 0.43318420 0.78340790 [54,] 0.20546032 0.41092064 0.79453968 [55,] 0.24631273 0.49262545 0.75368727 [56,] 0.32192359 0.64384717 0.67807641 [57,] 0.32025069 0.64050138 0.67974931 [58,] 0.64202235 0.71595529 0.35797765 [59,] 0.63720013 0.72559975 0.36279987 [60,] 0.82660200 0.34679601 0.17339800 [61,] 0.80682197 0.38635606 0.19317803 [62,] 0.91941617 0.16116767 0.08058383 [63,] 0.90097520 0.19804959 0.09902480 [64,] 0.92542465 0.14915070 0.07457535 [65,] 0.91183009 0.17633982 0.08816991 [66,] 0.91353332 0.17293336 0.08646668 [67,] 0.90561310 0.18877379 0.09438690 [68,] 0.96270941 0.07458118 0.03729059 [69,] 0.95393601 0.09212798 0.04606399 [70,] 0.94562529 0.10874942 0.05437471 [71,] 0.94857190 0.10285620 0.05142810 [72,] 0.93991599 0.12016803 0.06008401 [73,] 0.93851567 0.12296865 0.06148433 [74,] 0.92333853 0.15332294 0.07666147 [75,] 0.90882304 0.18235393 0.09117696 [76,] 0.89856158 0.20287684 0.10143842 [77,] 0.88109273 0.23781454 0.11890727 [78,] 0.85734244 0.28531513 0.14265756 [79,] 0.90926577 0.18146847 0.09073423 [80,] 0.89123240 0.21753520 0.10876760 [81,] 0.86929130 0.26141740 0.13070870 [82,] 0.87156054 0.25687892 0.12843946 [83,] 0.86081943 0.27836114 0.13918057 [84,] 0.83722873 0.32554254 0.16277127 [85,] 0.80797274 0.38405453 0.19202726 [86,] 0.77328209 0.45343581 0.22671791 [87,] 0.74204845 0.51590310 0.25795155 [88,] 0.76213180 0.47573640 0.23786820 [89,] 0.75606062 0.48787875 0.24393938 [90,] 0.71927514 0.56144972 0.28072486 [91,] 0.69370755 0.61258489 0.30629245 [92,] 0.64991342 0.70017315 0.35008658 [93,] 0.61043042 0.77913917 0.38956958 [94,] 0.57085821 0.85828358 0.42914179 [95,] 0.52840457 0.94319087 0.47159543 [96,] 0.48182389 0.96364778 0.51817611 [97,] 0.46241592 0.92483184 0.53758408 [98,] 0.45782797 0.91565594 0.54217203 [99,] 0.46789461 0.93578922 0.53210539 [100,] 0.41804847 0.83609694 0.58195153 [101,] 0.39467098 0.78934197 0.60532902 [102,] 0.35585164 0.71170328 0.64414836 [103,] 0.57522344 0.84955312 0.42477656 [104,] 0.56734387 0.86531226 0.43265613 [105,] 0.53938943 0.92122114 0.46061057 [106,] 0.75717030 0.48565940 0.24282970 [107,] 0.73299470 0.53401060 0.26700530 [108,] 0.72059395 0.55881210 0.27940605 [109,] 0.69173273 0.61653454 0.30826727 [110,] 0.64084905 0.71830189 0.35915095 [111,] 0.64975171 0.70049658 0.35024829 [112,] 0.70204716 0.59590567 0.29795284 [113,] 0.70661975 0.58676051 0.29338025 [114,] 0.71238355 0.57523290 0.28761645 [115,] 0.65917903 0.68164194 0.34082097 [116,] 0.70518925 0.58962151 0.29481075 [117,] 0.67534067 0.64931866 0.32465933 [118,] 0.66367758 0.67264485 0.33632242 [119,] 0.62718621 0.74562758 0.37281379 [120,] 0.59979980 0.80040039 0.40020020 [121,] 0.67066390 0.65867220 0.32933610 [122,] 0.61297507 0.77404986 0.38702493 [123,] 0.54863125 0.90273750 0.45136875 [124,] 0.54650453 0.90699095 0.45349547 [125,] 0.48506349 0.97012697 0.51493651 [126,] 0.44252424 0.88504848 0.55747576 [127,] 0.41362929 0.82725858 0.58637071 [128,] 0.41721696 0.83443392 0.58278304 [129,] 0.45709142 0.91418284 0.54290858 [130,] 0.38929874 0.77859749 0.61070126 [131,] 0.31719465 0.63438929 0.68280535 [132,] 0.41941613 0.83883226 0.58058387 [133,] 0.36506261 0.73012523 0.63493739 [134,] 0.29687686 0.59375371 0.70312314 [135,] 0.22285836 0.44571671 0.77714164 [136,] 0.26640171 0.53280342 0.73359829 [137,] 0.18372950 0.36745901 0.81627050 [138,] 0.23871943 0.47743885 0.76128057 [139,] 0.14757957 0.29515914 0.85242043 [140,] 0.07898494 0.15796988 0.92101506 > postscript(file="/var/www/rcomp/tmp/1gxpl1322173163.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/2e8gp1322173163.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3junw1322173163.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/4592j1322173163.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/5qa1n1322173163.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 = 159 Frequency = 1 1 2 3 4 5 6 0.69408811 4.96946112 -4.00527578 -0.10546403 0.27422459 -1.82703401 7 8 9 10 11 12 -0.96693535 -6.51767552 -4.38569717 -3.57581934 0.58069901 7.68055849 13 14 15 16 17 18 7.77137671 -1.11044163 -6.78399128 -5.91547855 1.43143151 -0.32382215 19 20 21 22 23 24 0.21128754 4.56837584 1.69620929 6.87547798 1.25025920 10.01222876 25 26 27 28 29 30 -0.42022932 -4.30907860 -1.62698458 2.64295518 -0.02331013 -2.55378285 31 32 33 34 35 36 3.51728901 -5.58968526 -0.65673128 0.77657491 -6.04512289 4.10275890 37 38 39 40 41 42 9.24443844 -8.96879762 4.08795711 -0.92935724 1.91253029 -0.12677672 43 44 45 46 47 48 0.68077665 -4.76076184 -2.35476299 -5.54598776 -2.23190432 4.77384400 49 50 51 52 53 54 6.74870360 -3.63199176 2.66606191 -1.05720456 1.14663226 -0.85696625 55 56 57 58 59 60 -1.13915048 2.56770289 -0.38920753 -3.23775782 -3.59034866 -6.96354247 61 62 63 64 65 66 -3.87107184 -0.38870323 -3.99921280 -5.24685305 -7.96455011 4.60581516 67 68 69 70 71 72 12.40619043 -4.04360629 -11.12469898 -2.60148813 10.30657987 0.74458663 73 74 75 76 77 78 6.82183432 1.85873481 4.48135034 3.38828781 -9.76963062 -1.70695041 79 80 81 82 83 84 -2.59250840 5.02262243 -2.67176311 4.08062169 0.23247406 -1.89392211 85 86 87 88 89 90 2.96745118 0.18542022 -0.85497086 -7.96012365 0.71009260 1.31049001 91 92 93 94 95 96 4.75624604 -3.35922021 -1.15501795 0.85267448 0.08479277 2.13612459 97 98 99 100 101 102 5.76962058 4.17762418 1.53999288 3.08022747 0.55595949 -1.22130078 103 104 105 106 107 108 -1.40677745 -1.59169660 0.86894500 4.10825741 4.37519110 4.45949111 109 110 111 112 113 114 -0.28425421 -2.54157333 -1.59092003 9.68793401 0.67278402 -3.24025497 115 116 117 118 119 120 -12.02306579 -1.86499366 -2.19275652 -2.51055984 0.45765011 4.48897796 121 122 123 124 125 126 7.27162384 -5.03193828 -4.98078437 -0.75661293 -6.47064032 -1.93650740 127 128 129 130 131 132 -2.52611836 -1.92190240 -2.31752239 7.42500001 -1.88171532 -0.52595527 133 134 135 136 137 138 -2.12379490 0.88444207 3.88996089 -1.62117962 -3.13415781 -5.09349163 139 140 141 142 143 144 -1.46490065 -2.84873327 5.20640275 2.63528219 -5.88576450 -1.06691678 145 146 147 148 149 150 -4.41420063 1.56080646 7.73820727 0.95179764 1.82642044 2.99677648 151 152 153 154 155 156 -0.50317875 0.68819878 11.41637698 2.73439333 -5.71918980 -1.05670026 157 158 159 3.45916671 -2.16671583 4.88434024 > postscript(file="/var/www/rcomp/tmp/6xvxl1322173163.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 = 159 Frequency = 1 lag(myerror, k = 1) myerror 0 0.69408811 NA 1 4.96946112 0.69408811 2 -4.00527578 4.96946112 3 -0.10546403 -4.00527578 4 0.27422459 -0.10546403 5 -1.82703401 0.27422459 6 -0.96693535 -1.82703401 7 -6.51767552 -0.96693535 8 -4.38569717 -6.51767552 9 -3.57581934 -4.38569717 10 0.58069901 -3.57581934 11 7.68055849 0.58069901 12 7.77137671 7.68055849 13 -1.11044163 7.77137671 14 -6.78399128 -1.11044163 15 -5.91547855 -6.78399128 16 1.43143151 -5.91547855 17 -0.32382215 1.43143151 18 0.21128754 -0.32382215 19 4.56837584 0.21128754 20 1.69620929 4.56837584 21 6.87547798 1.69620929 22 1.25025920 6.87547798 23 10.01222876 1.25025920 24 -0.42022932 10.01222876 25 -4.30907860 -0.42022932 26 -1.62698458 -4.30907860 27 2.64295518 -1.62698458 28 -0.02331013 2.64295518 29 -2.55378285 -0.02331013 30 3.51728901 -2.55378285 31 -5.58968526 3.51728901 32 -0.65673128 -5.58968526 33 0.77657491 -0.65673128 34 -6.04512289 0.77657491 35 4.10275890 -6.04512289 36 9.24443844 4.10275890 37 -8.96879762 9.24443844 38 4.08795711 -8.96879762 39 -0.92935724 4.08795711 40 1.91253029 -0.92935724 41 -0.12677672 1.91253029 42 0.68077665 -0.12677672 43 -4.76076184 0.68077665 44 -2.35476299 -4.76076184 45 -5.54598776 -2.35476299 46 -2.23190432 -5.54598776 47 4.77384400 -2.23190432 48 6.74870360 4.77384400 49 -3.63199176 6.74870360 50 2.66606191 -3.63199176 51 -1.05720456 2.66606191 52 1.14663226 -1.05720456 53 -0.85696625 1.14663226 54 -1.13915048 -0.85696625 55 2.56770289 -1.13915048 56 -0.38920753 2.56770289 57 -3.23775782 -0.38920753 58 -3.59034866 -3.23775782 59 -6.96354247 -3.59034866 60 -3.87107184 -6.96354247 61 -0.38870323 -3.87107184 62 -3.99921280 -0.38870323 63 -5.24685305 -3.99921280 64 -7.96455011 -5.24685305 65 4.60581516 -7.96455011 66 12.40619043 4.60581516 67 -4.04360629 12.40619043 68 -11.12469898 -4.04360629 69 -2.60148813 -11.12469898 70 10.30657987 -2.60148813 71 0.74458663 10.30657987 72 6.82183432 0.74458663 73 1.85873481 6.82183432 74 4.48135034 1.85873481 75 3.38828781 4.48135034 76 -9.76963062 3.38828781 77 -1.70695041 -9.76963062 78 -2.59250840 -1.70695041 79 5.02262243 -2.59250840 80 -2.67176311 5.02262243 81 4.08062169 -2.67176311 82 0.23247406 4.08062169 83 -1.89392211 0.23247406 84 2.96745118 -1.89392211 85 0.18542022 2.96745118 86 -0.85497086 0.18542022 87 -7.96012365 -0.85497086 88 0.71009260 -7.96012365 89 1.31049001 0.71009260 90 4.75624604 1.31049001 91 -3.35922021 4.75624604 92 -1.15501795 -3.35922021 93 0.85267448 -1.15501795 94 0.08479277 0.85267448 95 2.13612459 0.08479277 96 5.76962058 2.13612459 97 4.17762418 5.76962058 98 1.53999288 4.17762418 99 3.08022747 1.53999288 100 0.55595949 3.08022747 101 -1.22130078 0.55595949 102 -1.40677745 -1.22130078 103 -1.59169660 -1.40677745 104 0.86894500 -1.59169660 105 4.10825741 0.86894500 106 4.37519110 4.10825741 107 4.45949111 4.37519110 108 -0.28425421 4.45949111 109 -2.54157333 -0.28425421 110 -1.59092003 -2.54157333 111 9.68793401 -1.59092003 112 0.67278402 9.68793401 113 -3.24025497 0.67278402 114 -12.02306579 -3.24025497 115 -1.86499366 -12.02306579 116 -2.19275652 -1.86499366 117 -2.51055984 -2.19275652 118 0.45765011 -2.51055984 119 4.48897796 0.45765011 120 7.27162384 4.48897796 121 -5.03193828 7.27162384 122 -4.98078437 -5.03193828 123 -0.75661293 -4.98078437 124 -6.47064032 -0.75661293 125 -1.93650740 -6.47064032 126 -2.52611836 -1.93650740 127 -1.92190240 -2.52611836 128 -2.31752239 -1.92190240 129 7.42500001 -2.31752239 130 -1.88171532 7.42500001 131 -0.52595527 -1.88171532 132 -2.12379490 -0.52595527 133 0.88444207 -2.12379490 134 3.88996089 0.88444207 135 -1.62117962 3.88996089 136 -3.13415781 -1.62117962 137 -5.09349163 -3.13415781 138 -1.46490065 -5.09349163 139 -2.84873327 -1.46490065 140 5.20640275 -2.84873327 141 2.63528219 5.20640275 142 -5.88576450 2.63528219 143 -1.06691678 -5.88576450 144 -4.41420063 -1.06691678 145 1.56080646 -4.41420063 146 7.73820727 1.56080646 147 0.95179764 7.73820727 148 1.82642044 0.95179764 149 2.99677648 1.82642044 150 -0.50317875 2.99677648 151 0.68819878 -0.50317875 152 11.41637698 0.68819878 153 2.73439333 11.41637698 154 -5.71918980 2.73439333 155 -1.05670026 -5.71918980 156 3.45916671 -1.05670026 157 -2.16671583 3.45916671 158 4.88434024 -2.16671583 159 NA 4.88434024 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 4.96946112 0.69408811 [2,] -4.00527578 4.96946112 [3,] -0.10546403 -4.00527578 [4,] 0.27422459 -0.10546403 [5,] -1.82703401 0.27422459 [6,] -0.96693535 -1.82703401 [7,] -6.51767552 -0.96693535 [8,] -4.38569717 -6.51767552 [9,] -3.57581934 -4.38569717 [10,] 0.58069901 -3.57581934 [11,] 7.68055849 0.58069901 [12,] 7.77137671 7.68055849 [13,] -1.11044163 7.77137671 [14,] -6.78399128 -1.11044163 [15,] -5.91547855 -6.78399128 [16,] 1.43143151 -5.91547855 [17,] -0.32382215 1.43143151 [18,] 0.21128754 -0.32382215 [19,] 4.56837584 0.21128754 [20,] 1.69620929 4.56837584 [21,] 6.87547798 1.69620929 [22,] 1.25025920 6.87547798 [23,] 10.01222876 1.25025920 [24,] -0.42022932 10.01222876 [25,] -4.30907860 -0.42022932 [26,] -1.62698458 -4.30907860 [27,] 2.64295518 -1.62698458 [28,] -0.02331013 2.64295518 [29,] -2.55378285 -0.02331013 [30,] 3.51728901 -2.55378285 [31,] -5.58968526 3.51728901 [32,] -0.65673128 -5.58968526 [33,] 0.77657491 -0.65673128 [34,] -6.04512289 0.77657491 [35,] 4.10275890 -6.04512289 [36,] 9.24443844 4.10275890 [37,] -8.96879762 9.24443844 [38,] 4.08795711 -8.96879762 [39,] -0.92935724 4.08795711 [40,] 1.91253029 -0.92935724 [41,] -0.12677672 1.91253029 [42,] 0.68077665 -0.12677672 [43,] -4.76076184 0.68077665 [44,] -2.35476299 -4.76076184 [45,] -5.54598776 -2.35476299 [46,] -2.23190432 -5.54598776 [47,] 4.77384400 -2.23190432 [48,] 6.74870360 4.77384400 [49,] -3.63199176 6.74870360 [50,] 2.66606191 -3.63199176 [51,] -1.05720456 2.66606191 [52,] 1.14663226 -1.05720456 [53,] -0.85696625 1.14663226 [54,] -1.13915048 -0.85696625 [55,] 2.56770289 -1.13915048 [56,] -0.38920753 2.56770289 [57,] -3.23775782 -0.38920753 [58,] -3.59034866 -3.23775782 [59,] -6.96354247 -3.59034866 [60,] -3.87107184 -6.96354247 [61,] -0.38870323 -3.87107184 [62,] -3.99921280 -0.38870323 [63,] -5.24685305 -3.99921280 [64,] -7.96455011 -5.24685305 [65,] 4.60581516 -7.96455011 [66,] 12.40619043 4.60581516 [67,] -4.04360629 12.40619043 [68,] -11.12469898 -4.04360629 [69,] -2.60148813 -11.12469898 [70,] 10.30657987 -2.60148813 [71,] 0.74458663 10.30657987 [72,] 6.82183432 0.74458663 [73,] 1.85873481 6.82183432 [74,] 4.48135034 1.85873481 [75,] 3.38828781 4.48135034 [76,] -9.76963062 3.38828781 [77,] -1.70695041 -9.76963062 [78,] -2.59250840 -1.70695041 [79,] 5.02262243 -2.59250840 [80,] -2.67176311 5.02262243 [81,] 4.08062169 -2.67176311 [82,] 0.23247406 4.08062169 [83,] -1.89392211 0.23247406 [84,] 2.96745118 -1.89392211 [85,] 0.18542022 2.96745118 [86,] -0.85497086 0.18542022 [87,] -7.96012365 -0.85497086 [88,] 0.71009260 -7.96012365 [89,] 1.31049001 0.71009260 [90,] 4.75624604 1.31049001 [91,] -3.35922021 4.75624604 [92,] -1.15501795 -3.35922021 [93,] 0.85267448 -1.15501795 [94,] 0.08479277 0.85267448 [95,] 2.13612459 0.08479277 [96,] 5.76962058 2.13612459 [97,] 4.17762418 5.76962058 [98,] 1.53999288 4.17762418 [99,] 3.08022747 1.53999288 [100,] 0.55595949 3.08022747 [101,] -1.22130078 0.55595949 [102,] -1.40677745 -1.22130078 [103,] -1.59169660 -1.40677745 [104,] 0.86894500 -1.59169660 [105,] 4.10825741 0.86894500 [106,] 4.37519110 4.10825741 [107,] 4.45949111 4.37519110 [108,] -0.28425421 4.45949111 [109,] -2.54157333 -0.28425421 [110,] -1.59092003 -2.54157333 [111,] 9.68793401 -1.59092003 [112,] 0.67278402 9.68793401 [113,] -3.24025497 0.67278402 [114,] -12.02306579 -3.24025497 [115,] -1.86499366 -12.02306579 [116,] -2.19275652 -1.86499366 [117,] -2.51055984 -2.19275652 [118,] 0.45765011 -2.51055984 [119,] 4.48897796 0.45765011 [120,] 7.27162384 4.48897796 [121,] -5.03193828 7.27162384 [122,] -4.98078437 -5.03193828 [123,] -0.75661293 -4.98078437 [124,] -6.47064032 -0.75661293 [125,] -1.93650740 -6.47064032 [126,] -2.52611836 -1.93650740 [127,] -1.92190240 -2.52611836 [128,] -2.31752239 -1.92190240 [129,] 7.42500001 -2.31752239 [130,] -1.88171532 7.42500001 [131,] -0.52595527 -1.88171532 [132,] -2.12379490 -0.52595527 [133,] 0.88444207 -2.12379490 [134,] 3.88996089 0.88444207 [135,] -1.62117962 3.88996089 [136,] -3.13415781 -1.62117962 [137,] -5.09349163 -3.13415781 [138,] -1.46490065 -5.09349163 [139,] -2.84873327 -1.46490065 [140,] 5.20640275 -2.84873327 [141,] 2.63528219 5.20640275 [142,] -5.88576450 2.63528219 [143,] -1.06691678 -5.88576450 [144,] -4.41420063 -1.06691678 [145,] 1.56080646 -4.41420063 [146,] 7.73820727 1.56080646 [147,] 0.95179764 7.73820727 [148,] 1.82642044 0.95179764 [149,] 2.99677648 1.82642044 [150,] -0.50317875 2.99677648 [151,] 0.68819878 -0.50317875 [152,] 11.41637698 0.68819878 [153,] 2.73439333 11.41637698 [154,] -5.71918980 2.73439333 [155,] -1.05670026 -5.71918980 [156,] 3.45916671 -1.05670026 [157,] -2.16671583 3.45916671 [158,] 4.88434024 -2.16671583 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 4.96946112 0.69408811 2 -4.00527578 4.96946112 3 -0.10546403 -4.00527578 4 0.27422459 -0.10546403 5 -1.82703401 0.27422459 6 -0.96693535 -1.82703401 7 -6.51767552 -0.96693535 8 -4.38569717 -6.51767552 9 -3.57581934 -4.38569717 10 0.58069901 -3.57581934 11 7.68055849 0.58069901 12 7.77137671 7.68055849 13 -1.11044163 7.77137671 14 -6.78399128 -1.11044163 15 -5.91547855 -6.78399128 16 1.43143151 -5.91547855 17 -0.32382215 1.43143151 18 0.21128754 -0.32382215 19 4.56837584 0.21128754 20 1.69620929 4.56837584 21 6.87547798 1.69620929 22 1.25025920 6.87547798 23 10.01222876 1.25025920 24 -0.42022932 10.01222876 25 -4.30907860 -0.42022932 26 -1.62698458 -4.30907860 27 2.64295518 -1.62698458 28 -0.02331013 2.64295518 29 -2.55378285 -0.02331013 30 3.51728901 -2.55378285 31 -5.58968526 3.51728901 32 -0.65673128 -5.58968526 33 0.77657491 -0.65673128 34 -6.04512289 0.77657491 35 4.10275890 -6.04512289 36 9.24443844 4.10275890 37 -8.96879762 9.24443844 38 4.08795711 -8.96879762 39 -0.92935724 4.08795711 40 1.91253029 -0.92935724 41 -0.12677672 1.91253029 42 0.68077665 -0.12677672 43 -4.76076184 0.68077665 44 -2.35476299 -4.76076184 45 -5.54598776 -2.35476299 46 -2.23190432 -5.54598776 47 4.77384400 -2.23190432 48 6.74870360 4.77384400 49 -3.63199176 6.74870360 50 2.66606191 -3.63199176 51 -1.05720456 2.66606191 52 1.14663226 -1.05720456 53 -0.85696625 1.14663226 54 -1.13915048 -0.85696625 55 2.56770289 -1.13915048 56 -0.38920753 2.56770289 57 -3.23775782 -0.38920753 58 -3.59034866 -3.23775782 59 -6.96354247 -3.59034866 60 -3.87107184 -6.96354247 61 -0.38870323 -3.87107184 62 -3.99921280 -0.38870323 63 -5.24685305 -3.99921280 64 -7.96455011 -5.24685305 65 4.60581516 -7.96455011 66 12.40619043 4.60581516 67 -4.04360629 12.40619043 68 -11.12469898 -4.04360629 69 -2.60148813 -11.12469898 70 10.30657987 -2.60148813 71 0.74458663 10.30657987 72 6.82183432 0.74458663 73 1.85873481 6.82183432 74 4.48135034 1.85873481 75 3.38828781 4.48135034 76 -9.76963062 3.38828781 77 -1.70695041 -9.76963062 78 -2.59250840 -1.70695041 79 5.02262243 -2.59250840 80 -2.67176311 5.02262243 81 4.08062169 -2.67176311 82 0.23247406 4.08062169 83 -1.89392211 0.23247406 84 2.96745118 -1.89392211 85 0.18542022 2.96745118 86 -0.85497086 0.18542022 87 -7.96012365 -0.85497086 88 0.71009260 -7.96012365 89 1.31049001 0.71009260 90 4.75624604 1.31049001 91 -3.35922021 4.75624604 92 -1.15501795 -3.35922021 93 0.85267448 -1.15501795 94 0.08479277 0.85267448 95 2.13612459 0.08479277 96 5.76962058 2.13612459 97 4.17762418 5.76962058 98 1.53999288 4.17762418 99 3.08022747 1.53999288 100 0.55595949 3.08022747 101 -1.22130078 0.55595949 102 -1.40677745 -1.22130078 103 -1.59169660 -1.40677745 104 0.86894500 -1.59169660 105 4.10825741 0.86894500 106 4.37519110 4.10825741 107 4.45949111 4.37519110 108 -0.28425421 4.45949111 109 -2.54157333 -0.28425421 110 -1.59092003 -2.54157333 111 9.68793401 -1.59092003 112 0.67278402 9.68793401 113 -3.24025497 0.67278402 114 -12.02306579 -3.24025497 115 -1.86499366 -12.02306579 116 -2.19275652 -1.86499366 117 -2.51055984 -2.19275652 118 0.45765011 -2.51055984 119 4.48897796 0.45765011 120 7.27162384 4.48897796 121 -5.03193828 7.27162384 122 -4.98078437 -5.03193828 123 -0.75661293 -4.98078437 124 -6.47064032 -0.75661293 125 -1.93650740 -6.47064032 126 -2.52611836 -1.93650740 127 -1.92190240 -2.52611836 128 -2.31752239 -1.92190240 129 7.42500001 -2.31752239 130 -1.88171532 7.42500001 131 -0.52595527 -1.88171532 132 -2.12379490 -0.52595527 133 0.88444207 -2.12379490 134 3.88996089 0.88444207 135 -1.62117962 3.88996089 136 -3.13415781 -1.62117962 137 -5.09349163 -3.13415781 138 -1.46490065 -5.09349163 139 -2.84873327 -1.46490065 140 5.20640275 -2.84873327 141 2.63528219 5.20640275 142 -5.88576450 2.63528219 143 -1.06691678 -5.88576450 144 -4.41420063 -1.06691678 145 1.56080646 -4.41420063 146 7.73820727 1.56080646 147 0.95179764 7.73820727 148 1.82642044 0.95179764 149 2.99677648 1.82642044 150 -0.50317875 2.99677648 151 0.68819878 -0.50317875 152 11.41637698 0.68819878 153 2.73439333 11.41637698 154 -5.71918980 2.73439333 155 -1.05670026 -5.71918980 156 3.45916671 -1.05670026 157 -2.16671583 3.45916671 158 4.88434024 -2.16671583 > 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/74gdt1322173163.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/8dqmt1322173163.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/rcomp/tmp/9nbf21322173163.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/rcomp/tmp/10kvr41322173163.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11qf0w1322173163.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/12o2gf1322173163.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/13dh3b1322173164.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/14d0wh1322173164.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/15habu1322173164.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/161xoo1322173164.tab") + } > > try(system("convert tmp/1gxpl1322173163.ps tmp/1gxpl1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/2e8gp1322173163.ps tmp/2e8gp1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/3junw1322173163.ps tmp/3junw1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/4592j1322173163.ps tmp/4592j1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/5qa1n1322173163.ps tmp/5qa1n1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/6xvxl1322173163.ps tmp/6xvxl1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/74gdt1322173163.ps tmp/74gdt1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/8dqmt1322173163.ps tmp/8dqmt1322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/9nbf21322173163.ps tmp/9nbf21322173163.png",intern=TRUE)) character(0) > try(system("convert tmp/10kvr41322173163.ps tmp/10kvr41322173163.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 5.680 0.420 6.089