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(109.08 + ,119.73 + ,101.52 + ,112.47 + ,104.49 + ,104 + ,109.55 + ,90.14 + ,101.33 + ,109.47 + ,108.81 + ,108.99 + ,110.4 + ,119.77 + ,101.61 + ,114.97 + ,104.62 + ,104.03 + ,111.69 + ,89.96 + ,101.3 + ,109.47 + ,108.81 + ,109.1 + ,111.03 + ,119.77 + ,101.65 + ,115.65 + ,104.76 + ,104.1 + ,110.76 + ,89.97 + ,102.39 + ,109.47 + ,109.74 + ,109.2 + ,112.05 + ,119.78 + ,101.66 + ,117.44 + ,104.88 + ,104.36 + ,110.78 + ,89.98 + ,101.69 + ,109.47 + ,109.57 + ,109.68 + ,112.28 + ,119.78 + ,101.56 + ,120.13 + ,105.09 + ,103.6 + ,110.76 + ,90.1 + ,103.75 + ,109.47 + ,110.44 + ,110.02 + ,112.8 + ,119.78 + ,101.75 + ,122.87 + ,105.31 + ,103.69 + ,112.38 + ,90.13 + ,102.99 + ,109.47 + ,111.2 + ,110.32 + ,114.17 + ,121.28 + ,101.83 + ,123.67 + ,105.48 + ,103.78 + ,112.86 + ,89.6 + ,100.8 + ,109.47 + ,111.44 + ,110.64 + ,114.92 + ,122.44 + ,101.98 + ,125.68 + ,105.71 + ,103.27 + ,114.74 + ,89.6 + ,102.21 + ,109.47 + ,111.83 + ,110.87 + ,114.65 + ,122.72 + 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,104.24 + ,118.76 + ,109.45 + ,103.5 + ,110.62 + ,86.62 + ,105.2 + ,116.29 + ,117.36 + ,114.83 + ,114.79 + ,127.41 + ,104.29 + ,119.04 + ,109.59 + ,103.5 + ,110.57 + ,86.98 + ,105.87 + ,116.29 + ,118 + ,114.91 + ,116.16 + ,127.75 + ,104.29 + ,120.34 + ,109.57 + ,103.83 + ,111.52 + ,86.71 + ,105.41 + ,116.29 + ,117.34 + ,114.84 + ,116.52 + ,127.76 + ,103.98 + ,120.74 + ,109.75 + ,103.2 + ,111.47 + ,86.6 + ,107.89 + ,116.29 + ,118.04 + ,115.13 + ,117.14 + ,127.8 + ,103.98 + ,122.26 + ,110.01 + ,103.24 + ,112.97 + ,86.58 + ,106.06 + ,116.29 + ,118.17 + ,115.45 + ,117.27 + ,128.23 + ,103.89 + ,123.41 + ,110.09 + ,103.11 + ,114.24 + ,86.79 + ,105.5 + ,116.29 + ,118.82 + ,115.5 + ,117.58 + ,130.01 + ,103.86 + ,124.12 + ,110.25 + ,103.13 + ,114.97 + ,86.08 + ,106.71 + ,116.29 + ,119 + ,115.61 + ,117.21 + ,130.07 + ,103.88 + ,124.29 + ,110.28 + ,103.15 + ,114.82 + ,87.48 + ,106.34 + ,116.29 + ,118.89 + ,116.3 + ,117.08 + ,130.17 + ,103.88 + ,124.02 + ,110.26 + ,103.03 + ,114.61 + ,87.4 + ,106.11 + ,116.29 + ,121.4 + ,116.48 + ,117.06 + ,130.21 + ,104.31 + ,124.35 + ,110.38 + ,103.06 + ,114.68 + ,87.51 + ,106.15 + ,116.29 + ,121.01 + ,116.46 + ,117.55 + ,130.22 + ,104.41 + ,125.56 + ,110.37 + ,103.11 + ,114.9 + ,87.58 + ,106.61 + ,116.29 + ,120.21 + ,116.77 + ,117.61 + ,130.23 + ,104.8 + ,125.99 + ,110.5 + ,103.11 + ,115.05 + ,87.59 + ,106.63 + ,115.72 + ,120.39 + ,117.02 + ,117.74 + ,130.23 + ,104.89 + ,126.35 + ,110.51 + ,103.12 + ,115.67 + ,87.62 + ,106.27 + ,115.72 + ,120.09 + ,117.19 + ,117.87 + ,130.23 + ,104.9 + ,127.53 + ,110.71 + ,103.12 + ,117.17 + ,88.35 + ,105.59 + ,115.72 + ,120.76 + ,117.34 + ,118.59 + ,130.23 + ,104.9 + ,128.42 + ,110.62 + ,103.28 + ,118.17 + ,88.67 + ,107.09 + ,115.72 + ,120.33 + ,118.15 + ,119.09 + ,130.24 + ,104.54 + ,130.11 + ,110.81 + ,103.44 + ,118.61 + ,87.81 + ,108.53 + ,115.72 + ,120.84 + ,118.94 + ,118.93 + ,130.13 + ,104.67 + ,132.15 + ,110.97 + ,103.37 + ,120.38 + ,87.81 + ,108.01 + ,115.72 + ,121.49 + ,119.17 + ,119.62 + ,130.14 + ,104.87 + ,132.91 + ,111.06 + ,103.15 + ,121.27 + ,87.86 + ,106.52 + ,115.72 + ,122.29 + ,119.33 + ,120.09 + ,130.79 + ,105.04 + ,133.84 + ,111.33 + ,103.21 + ,121.55 + ,87.86 + ,107.27 + ,115.72 + ,121.91 + ,119.5 + ,120.38 + ,131.38 + ,105.09 + ,135.52 + ,111.55 + ,103.22 + ,121.08 + ,87.86 + ,107.58 + ,115.72 + ,122.46 + ,119.58 + ,120.49 + ,131.61 + ,105.1 + ,135.29 + ,111.67 + ,103.32 + ,121.01 + ,87.51 + ,107.36 + ,115.72 + ,124.94 + ,119.79 + ,120.02 + ,131.72 + ,105.46 + ,135.13 + ,111.72 + ,103.34 + ,121.15 + ,87.5 + ,107.23 + ,115.72 + ,124.6 + ,119.91 + ,120.17 + ,131.89 + ,105.83 + ,136.43 + ,112 + ,103.34 + ,121.84 + ,86.72 + ,107.54 + ,115.72 + ,123.09 + ,120.35 + ,120.58 + ,131.89 + ,106.27 + ,136.29 + ,112.42 + ,103.3 + ,121.83 + ,86.74 + ,107.64 + ,119.24 + ,123.25 + ,120.69 + ,121.54 + ,131.96 + ,106.46 + ,137.32 + ,112.84 + ,103.29 + ,121.86 + ,86.74 + ,108.23 + ,119.24 + ,123.01 + ,121.01 + ,121.52 + ,131.99 + ,106.52 + ,137.3 + ,112.99 + ,103.35 + ,121.56 + ,86.76 + ,108.42 + ,119.24 + ,123.82 + ,121.14 + ,121.81 + ,132 + ,106.53 + ,138.38 + ,113.11 + ,104.02 + ,122.81 + ,90.75 + ,109.33 + ,119.24 + ,123.31 + ,123.78 + ,122.85 + ,132.06 + ,105.96 + ,139.39 + ,113.51 + ,104.07 + ,123.24 + ,90.21 + ,111.3 + ,119.24 + ,124.04 + ,123.95 + ,122.97 + ,132.11 + ,106 + ,140.03 + ,113.42 + ,104.23 + ,124.52 + ,90.2 + ,110.52 + ,119.24 + ,124.15 + ,124.25 + ,122.96 + ,132.88 + ,106.15 + ,140.05 + ,113.6 + ,103.96 + ,125.03 + ,89.34 + ,109.86 + ,119.24 + ,125.37 + ,124.3 + ,123.4 + ,135.48 + ,106.32 + ,139.47 + ,113.65 + ,103.81 + ,123.56 + ,89.35 + ,110.94 + ,119.24 + ,125.41 + ,124.7 + ,123.23 + ,136.56 + ,106.41 + ,138.31 + ,113.76 + ,103.38 + ,122.58 + ,88.94 + ,111.35 + ,119.24 + ,126.06 + ,124.73 + ,123.24 + ,136.96 + ,106.41 + ,138.5 + ,113.74 + ,103.29 + ,122.95 + ,88.94 + ,111.01 + ,119.24 + ,128.17 + ,125.02 + ,123.72 + ,137.4 + ,106.81 + ,139.31 + ,114.02 + ,103.24 + ,124.73 + ,88.77 + ,110.84 + ,119.24 + ,128.16 + ,125.24 + ,123.99 + ,138.32 + ,106.99 + ,139.66 + ,114.08 + ,103.26 + ,125.75 + ,88.72 + ,110.79 + ,119.24 + ,126.69 + ,125.67 + ,125.1 + ,138.82 + ,107.35 + ,139.63 + ,114.29 + ,103.4 + ,125.16 + ,89.25 + ,110.87 + ,119.79 + ,126.75 + ,125.84) + ,dim=c(12 + ,61) + ,dimnames=list(c('VoedingsmiddelenEnDranken' + ,'Tabak' + ,'KledingEnSchoeisel' + ,'Huisvesting + ,water + ,elektriciteit + ,gas' + ,'StofferingEnOnderhoudVanWoning' + ,'Gezondheidsuitgaven' + ,'Vervoer' + ,'Communicatie' + ,'RecreatieEnCultuur' + ,'Onderwijs' + ,'Hotels + ,cafésEnRestaurants' + ,'DiverseGoederenEnDiensten') + ,1:61)) > y <- array(NA,dim=c(12,61),dimnames=list(c('VoedingsmiddelenEnDranken','Tabak','KledingEnSchoeisel','Huisvesting,water,elektriciteit,gas','StofferingEnOnderhoudVanWoning','Gezondheidsuitgaven','Vervoer','Communicatie','RecreatieEnCultuur','Onderwijs','Hotels,cafésEnRestaurants','DiverseGoederenEnDiensten'),1:61)) > 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 = '7' > par3 <- 'No Linear Trend' > par2 <- 'Do not include Seasonal Dummies' > par1 <- '7' > #'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 Vervoer VoedingsmiddelenEnDranken Tabak KledingEnSchoeisel 1 109.55 109.08 119.73 101.52 2 111.69 110.40 119.77 101.61 3 110.76 111.03 119.77 101.65 4 110.78 112.05 119.78 101.66 5 110.76 112.28 119.78 101.56 6 112.38 112.80 119.78 101.75 7 112.86 114.17 121.28 101.83 8 114.74 114.92 122.44 101.98 9 116.21 114.65 122.72 102.06 10 116.86 115.49 122.75 102.07 11 114.51 114.67 122.80 102.10 12 114.11 114.71 122.81 102.42 13 112.12 115.15 122.83 102.91 14 108.90 115.03 122.83 103.14 15 106.62 115.07 122.83 103.23 16 105.95 116.46 122.84 103.23 17 107.03 116.37 122.85 102.91 18 107.10 116.20 123.61 103.11 19 108.00 116.50 124.74 103.14 20 108.24 116.38 125.10 103.26 21 109.72 115.44 125.29 103.30 22 109.53 114.96 125.45 103.32 23 110.64 114.48 125.51 103.44 24 110.03 114.30 125.55 103.54 25 109.38 114.66 125.57 103.98 26 110.62 114.97 125.81 104.24 27 110.57 114.79 127.41 104.29 28 111.52 116.16 127.75 104.29 29 111.47 116.52 127.76 103.98 30 112.97 117.14 127.80 103.98 31 114.24 117.27 128.23 103.89 32 114.97 117.58 130.01 103.86 33 114.82 117.21 130.07 103.88 34 114.61 117.08 130.17 103.88 35 114.68 117.06 130.21 104.31 36 114.90 117.55 130.22 104.41 37 115.05 117.61 130.23 104.80 38 115.67 117.74 130.23 104.89 39 117.17 117.87 130.23 104.90 40 118.17 118.59 130.23 104.90 41 118.61 119.09 130.24 104.54 42 120.38 118.93 130.13 104.67 43 121.27 119.62 130.14 104.87 44 121.55 120.09 130.79 105.04 45 121.08 120.38 131.38 105.09 46 121.01 120.49 131.61 105.10 47 121.15 120.02 131.72 105.46 48 121.84 120.17 131.89 105.83 49 121.83 120.58 131.89 106.27 50 121.86 121.54 131.96 106.46 51 121.56 121.52 131.99 106.52 52 122.81 121.81 132.00 106.53 53 123.24 122.85 132.06 105.96 54 124.52 122.97 132.11 106.00 55 125.03 122.96 132.88 106.15 56 123.56 123.40 135.48 106.32 57 122.58 123.23 136.56 106.41 58 122.95 123.24 136.96 106.41 59 124.73 123.72 137.40 106.81 60 125.75 123.99 138.32 106.99 61 125.16 125.10 138.82 107.35 Huisvesting,water,elektriciteit,gas StofferingEnOnderhoudVanWoning 1 112.47 104.49 2 114.97 104.62 3 115.65 104.76 4 117.44 104.88 5 120.13 105.09 6 122.87 105.31 7 123.67 105.48 8 125.68 105.71 9 127.68 105.87 10 128.41 105.94 11 127.03 106.14 12 128.57 106.49 13 127.54 106.79 14 126.27 107.02 15 125.69 107.14 16 125.80 107.31 17 124.36 107.67 18 121.18 108.03 19 121.08 108.27 20 119.98 108.41 21 117.58 108.56 22 117.29 108.62 23 119.02 108.83 24 117.76 109.00 25 118.06 109.21 26 118.76 109.45 27 119.04 109.59 28 120.34 109.57 29 120.74 109.75 30 122.26 110.01 31 123.41 110.09 32 124.12 110.25 33 124.29 110.28 34 124.02 110.26 35 124.35 110.38 36 125.56 110.37 37 125.99 110.50 38 126.35 110.51 39 127.53 110.71 40 128.42 110.62 41 130.11 110.81 42 132.15 110.97 43 132.91 111.06 44 133.84 111.33 45 135.52 111.55 46 135.29 111.67 47 135.13 111.72 48 136.43 112.00 49 136.29 112.42 50 137.32 112.84 51 137.30 112.99 52 138.38 113.11 53 139.39 113.51 54 140.03 113.42 55 140.05 113.60 56 139.47 113.65 57 138.31 113.76 58 138.50 113.74 59 139.31 114.02 60 139.66 114.08 61 139.63 114.29 Gezondheidsuitgaven Communicatie RecreatieEnCultuur Onderwijs 1 104.00 90.14 101.33 109.47 2 104.03 89.96 101.30 109.47 3 104.10 89.97 102.39 109.47 4 104.36 89.98 101.69 109.47 5 103.60 90.10 103.75 109.47 6 103.69 90.13 102.99 109.47 7 103.78 89.60 100.80 109.47 8 103.27 89.60 102.21 109.47 9 103.29 89.61 102.45 109.47 10 103.30 89.22 102.49 109.47 11 103.47 89.60 102.40 109.47 12 103.27 88.90 102.99 109.47 13 103.30 89.60 103.19 111.29 14 103.38 89.47 103.35 111.29 15 103.38 89.73 104.44 111.29 16 105.22 88.53 103.42 111.29 17 105.29 90.09 105.81 111.29 18 104.85 90.09 104.25 111.29 19 104.99 90.28 103.78 111.29 20 104.61 89.69 104.53 111.29 21 104.60 89.69 105.01 111.29 22 103.53 89.67 104.83 111.29 23 103.48 89.66 104.55 111.29 24 103.54 89.56 105.16 111.29 25 103.52 89.60 105.06 116.29 26 103.50 86.62 105.20 116.29 27 103.50 86.98 105.87 116.29 28 103.83 86.71 105.41 116.29 29 103.20 86.60 107.89 116.29 30 103.24 86.58 106.06 116.29 31 103.11 86.79 105.50 116.29 32 103.13 86.08 106.71 116.29 33 103.15 87.48 106.34 116.29 34 103.03 87.40 106.11 116.29 35 103.06 87.51 106.15 116.29 36 103.11 87.58 106.61 116.29 37 103.11 87.59 106.63 115.72 38 103.12 87.62 106.27 115.72 39 103.12 88.35 105.59 115.72 40 103.28 88.67 107.09 115.72 41 103.44 87.81 108.53 115.72 42 103.37 87.81 108.01 115.72 43 103.15 87.86 106.52 115.72 44 103.21 87.86 107.27 115.72 45 103.22 87.86 107.58 115.72 46 103.32 87.51 107.36 115.72 47 103.34 87.50 107.23 115.72 48 103.34 86.72 107.54 115.72 49 103.30 86.74 107.64 119.24 50 103.29 86.74 108.23 119.24 51 103.35 86.76 108.42 119.24 52 104.02 90.75 109.33 119.24 53 104.07 90.21 111.30 119.24 54 104.23 90.20 110.52 119.24 55 103.96 89.34 109.86 119.24 56 103.81 89.35 110.94 119.24 57 103.38 88.94 111.35 119.24 58 103.29 88.94 111.01 119.24 59 103.24 88.77 110.84 119.24 60 103.26 88.72 110.79 119.24 61 103.40 89.25 110.87 119.79 Hotels,caf\303\251sEnRestaurants DiverseGoederenEnDiensten 1 108.81 108.99 2 108.81 109.10 3 109.74 109.20 4 109.57 109.68 5 110.44 110.02 6 111.20 110.32 7 111.44 110.64 8 111.83 110.87 9 112.87 110.96 10 115.07 111.85 11 115.35 111.94 12 113.81 112.11 13 114.66 112.42 14 114.51 112.62 15 115.11 112.63 16 114.54 113.25 17 115.39 113.73 18 115.65 114.17 19 116.46 114.27 20 116.18 114.49 21 116.63 114.69 22 118.84 114.63 23 118.77 114.74 24 117.83 114.94 25 117.66 114.78 26 117.36 114.83 27 118.00 114.91 28 117.34 114.84 29 118.04 115.13 30 118.17 115.45 31 118.82 115.50 32 119.00 115.61 33 118.89 116.30 34 121.40 116.48 35 121.01 116.46 36 120.21 116.77 37 120.39 117.02 38 120.09 117.19 39 120.76 117.34 40 120.33 118.15 41 120.84 118.94 42 121.49 119.17 43 122.29 119.33 44 121.91 119.50 45 122.46 119.58 46 124.94 119.79 47 124.60 119.91 48 123.09 120.35 49 123.25 120.69 50 123.01 121.01 51 123.82 121.14 52 123.31 123.78 53 124.04 123.95 54 124.15 124.25 55 125.37 124.30 56 125.41 124.70 57 126.06 124.73 58 128.17 125.02 59 128.16 125.24 60 126.69 125.67 61 126.75 125.84 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) VoedingsmiddelenEnDranken 571.9047 -1.4046 Tabak KledingEnSchoeisel 0.4843 -3.3689 `Huisvesting,water,elektriciteit,gas` StofferingEnOnderhoudVanWoning 0.5971 0.3673 Gezondheidsuitgaven Communicatie -1.8058 -0.8124 RecreatieEnCultuur Onderwijs -1.0326 0.1146 `Hotels,caf\\303\\251sEnRestaurants` DiverseGoederenEnDiensten -0.8994 2.9465 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -3.6637 -0.7935 0.0757 0.8695 2.9223 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 571.9047 107.0647 5.342 2.37e-06 *** VoedingsmiddelenEnDranken -1.4046 0.4491 -3.128 0.00296 ** Tabak 0.4843 0.2854 1.697 0.09599 . KledingEnSchoeisel -3.3689 0.7848 -4.292 8.31e-05 *** `Huisvesting,water,elektriciteit,gas` 0.5971 0.1361 4.388 6.07e-05 *** StofferingEnOnderhoudVanWoning 0.3673 1.0278 0.357 0.72237 Gezondheidsuitgaven -1.8058 0.7107 -2.541 0.01428 * Communicatie -0.8124 0.3640 -2.232 0.03021 * RecreatieEnCultuur -1.0326 0.3171 -3.257 0.00205 ** Onderwijs 0.1146 0.2544 0.450 0.65445 `Hotels,caf\\303\\251sEnRestaurants` -0.8994 0.2659 -3.382 0.00142 ** DiverseGoederenEnDiensten 2.9465 0.6342 4.646 2.57e-05 *** --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 1.492 on 49 degrees of freedom Multiple R-squared: 0.9447, Adjusted R-squared: 0.9322 F-statistic: 76.05 on 11 and 49 DF, p-value: < 2.2e-16 > 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,] 0.4119543 0.8239085810 5.880457e-01 [2,] 0.4384809 0.8769618182 5.615191e-01 [3,] 0.9422396 0.1155208274 5.776041e-02 [4,] 0.9919224 0.0161552874 8.077644e-03 [5,] 0.9914087 0.0171825523 8.591276e-03 [6,] 0.9998028 0.0003943259 1.971629e-04 [7,] 0.9999125 0.0001750555 8.752777e-05 [8,] 0.9998520 0.0002960942 1.480471e-04 [9,] 0.9997102 0.0005796707 2.898353e-04 [10,] 0.9994399 0.0011202893 5.601447e-04 [11,] 0.9991601 0.0016798696 8.399348e-04 [12,] 0.9983921 0.0032157235 1.607862e-03 [13,] 0.9983250 0.0033499439 1.674972e-03 [14,] 0.9968549 0.0062902302 3.145115e-03 [15,] 0.9978224 0.0043551398 2.177570e-03 [16,] 0.9984346 0.0031307937 1.565397e-03 [17,] 0.9988614 0.0022772388 1.138619e-03 [18,] 0.9992112 0.0015775770 7.887885e-04 [19,] 0.9985130 0.0029740839 1.487042e-03 [20,] 0.9978589 0.0042822957 2.141148e-03 [21,] 0.9967607 0.0064786838 3.239342e-03 [22,] 0.9951764 0.0096472061 4.823603e-03 [23,] 0.9955853 0.0088294473 4.414724e-03 [24,] 0.9971201 0.0057598808 2.879940e-03 [25,] 0.9967836 0.0064328575 3.216429e-03 [26,] 0.9958414 0.0083172192 4.158610e-03 [27,] 0.9906768 0.0186464545 9.323227e-03 [28,] 0.9922014 0.0155971526 7.798576e-03 [29,] 0.9835303 0.0329394456 1.646972e-02 [30,] 0.9727263 0.0545474071 2.727370e-02 [31,] 0.9401322 0.1197356191 5.986781e-02 [32,] 0.8940090 0.2119820629 1.059910e-01 > postscript(file="/var/fisher/rcomp/tmp/1fkt71353080960.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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/2nrxw1353080960.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/3xiqq1353080960.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/4kmxa1353080960.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/563kz1353080960.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 = 61 Frequency = 1 1 2 3 4 5 6 -0.80192388 1.48827458 2.92233897 1.47854510 0.39427764 0.86952142 7 8 9 10 11 12 -0.97985569 0.82052305 1.75441923 2.24060571 0.07566394 -2.44959768 13 14 15 16 17 18 -1.20374072 -3.66371453 -3.43511925 -3.33060831 0.47964176 -1.08494180 19 20 21 22 23 24 0.11745026 -0.26689663 1.60653446 0.91338101 -0.16038337 -0.79345667 25 26 27 28 29 30 -0.08263609 -0.88333206 -0.68704416 0.76789875 0.97838006 -0.33295321 31 32 33 34 35 36 -0.31304533 -0.04694424 -2.13144787 -1.19605048 -0.07300229 -0.56228169 37 38 39 40 41 42 0.19585236 -0.01701959 0.97268366 1.81008803 -0.13594784 -0.13281435 43 44 45 46 47 48 0.26119172 0.84492210 0.17809591 1.55890082 1.50982021 -0.27250144 49 50 51 52 53 54 0.49111362 1.13888950 1.62149848 -0.22756952 0.80541297 0.70574158 55 56 57 58 59 60 0.33816398 -1.16252623 -2.13894785 -1.52516557 0.41581003 -0.90036731 61 1.23619473 > postscript(file="/var/fisher/rcomp/tmp/6jbqb1353080960.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 = 61 Frequency = 1 lag(myerror, k = 1) myerror 0 -0.80192388 NA 1 1.48827458 -0.80192388 2 2.92233897 1.48827458 3 1.47854510 2.92233897 4 0.39427764 1.47854510 5 0.86952142 0.39427764 6 -0.97985569 0.86952142 7 0.82052305 -0.97985569 8 1.75441923 0.82052305 9 2.24060571 1.75441923 10 0.07566394 2.24060571 11 -2.44959768 0.07566394 12 -1.20374072 -2.44959768 13 -3.66371453 -1.20374072 14 -3.43511925 -3.66371453 15 -3.33060831 -3.43511925 16 0.47964176 -3.33060831 17 -1.08494180 0.47964176 18 0.11745026 -1.08494180 19 -0.26689663 0.11745026 20 1.60653446 -0.26689663 21 0.91338101 1.60653446 22 -0.16038337 0.91338101 23 -0.79345667 -0.16038337 24 -0.08263609 -0.79345667 25 -0.88333206 -0.08263609 26 -0.68704416 -0.88333206 27 0.76789875 -0.68704416 28 0.97838006 0.76789875 29 -0.33295321 0.97838006 30 -0.31304533 -0.33295321 31 -0.04694424 -0.31304533 32 -2.13144787 -0.04694424 33 -1.19605048 -2.13144787 34 -0.07300229 -1.19605048 35 -0.56228169 -0.07300229 36 0.19585236 -0.56228169 37 -0.01701959 0.19585236 38 0.97268366 -0.01701959 39 1.81008803 0.97268366 40 -0.13594784 1.81008803 41 -0.13281435 -0.13594784 42 0.26119172 -0.13281435 43 0.84492210 0.26119172 44 0.17809591 0.84492210 45 1.55890082 0.17809591 46 1.50982021 1.55890082 47 -0.27250144 1.50982021 48 0.49111362 -0.27250144 49 1.13888950 0.49111362 50 1.62149848 1.13888950 51 -0.22756952 1.62149848 52 0.80541297 -0.22756952 53 0.70574158 0.80541297 54 0.33816398 0.70574158 55 -1.16252623 0.33816398 56 -2.13894785 -1.16252623 57 -1.52516557 -2.13894785 58 0.41581003 -1.52516557 59 -0.90036731 0.41581003 60 1.23619473 -0.90036731 61 NA 1.23619473 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 1.48827458 -0.80192388 [2,] 2.92233897 1.48827458 [3,] 1.47854510 2.92233897 [4,] 0.39427764 1.47854510 [5,] 0.86952142 0.39427764 [6,] -0.97985569 0.86952142 [7,] 0.82052305 -0.97985569 [8,] 1.75441923 0.82052305 [9,] 2.24060571 1.75441923 [10,] 0.07566394 2.24060571 [11,] -2.44959768 0.07566394 [12,] -1.20374072 -2.44959768 [13,] -3.66371453 -1.20374072 [14,] -3.43511925 -3.66371453 [15,] -3.33060831 -3.43511925 [16,] 0.47964176 -3.33060831 [17,] -1.08494180 0.47964176 [18,] 0.11745026 -1.08494180 [19,] -0.26689663 0.11745026 [20,] 1.60653446 -0.26689663 [21,] 0.91338101 1.60653446 [22,] -0.16038337 0.91338101 [23,] -0.79345667 -0.16038337 [24,] -0.08263609 -0.79345667 [25,] -0.88333206 -0.08263609 [26,] -0.68704416 -0.88333206 [27,] 0.76789875 -0.68704416 [28,] 0.97838006 0.76789875 [29,] -0.33295321 0.97838006 [30,] -0.31304533 -0.33295321 [31,] -0.04694424 -0.31304533 [32,] -2.13144787 -0.04694424 [33,] -1.19605048 -2.13144787 [34,] -0.07300229 -1.19605048 [35,] -0.56228169 -0.07300229 [36,] 0.19585236 -0.56228169 [37,] -0.01701959 0.19585236 [38,] 0.97268366 -0.01701959 [39,] 1.81008803 0.97268366 [40,] -0.13594784 1.81008803 [41,] -0.13281435 -0.13594784 [42,] 0.26119172 -0.13281435 [43,] 0.84492210 0.26119172 [44,] 0.17809591 0.84492210 [45,] 1.55890082 0.17809591 [46,] 1.50982021 1.55890082 [47,] -0.27250144 1.50982021 [48,] 0.49111362 -0.27250144 [49,] 1.13888950 0.49111362 [50,] 1.62149848 1.13888950 [51,] -0.22756952 1.62149848 [52,] 0.80541297 -0.22756952 [53,] 0.70574158 0.80541297 [54,] 0.33816398 0.70574158 [55,] -1.16252623 0.33816398 [56,] -2.13894785 -1.16252623 [57,] -1.52516557 -2.13894785 [58,] 0.41581003 -1.52516557 [59,] -0.90036731 0.41581003 [60,] 1.23619473 -0.90036731 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 1.48827458 -0.80192388 2 2.92233897 1.48827458 3 1.47854510 2.92233897 4 0.39427764 1.47854510 5 0.86952142 0.39427764 6 -0.97985569 0.86952142 7 0.82052305 -0.97985569 8 1.75441923 0.82052305 9 2.24060571 1.75441923 10 0.07566394 2.24060571 11 -2.44959768 0.07566394 12 -1.20374072 -2.44959768 13 -3.66371453 -1.20374072 14 -3.43511925 -3.66371453 15 -3.33060831 -3.43511925 16 0.47964176 -3.33060831 17 -1.08494180 0.47964176 18 0.11745026 -1.08494180 19 -0.26689663 0.11745026 20 1.60653446 -0.26689663 21 0.91338101 1.60653446 22 -0.16038337 0.91338101 23 -0.79345667 -0.16038337 24 -0.08263609 -0.79345667 25 -0.88333206 -0.08263609 26 -0.68704416 -0.88333206 27 0.76789875 -0.68704416 28 0.97838006 0.76789875 29 -0.33295321 0.97838006 30 -0.31304533 -0.33295321 31 -0.04694424 -0.31304533 32 -2.13144787 -0.04694424 33 -1.19605048 -2.13144787 34 -0.07300229 -1.19605048 35 -0.56228169 -0.07300229 36 0.19585236 -0.56228169 37 -0.01701959 0.19585236 38 0.97268366 -0.01701959 39 1.81008803 0.97268366 40 -0.13594784 1.81008803 41 -0.13281435 -0.13594784 42 0.26119172 -0.13281435 43 0.84492210 0.26119172 44 0.17809591 0.84492210 45 1.55890082 0.17809591 46 1.50982021 1.55890082 47 -0.27250144 1.50982021 48 0.49111362 -0.27250144 49 1.13888950 0.49111362 50 1.62149848 1.13888950 51 -0.22756952 1.62149848 52 0.80541297 -0.22756952 53 0.70574158 0.80541297 54 0.33816398 0.70574158 55 -1.16252623 0.33816398 56 -2.13894785 -1.16252623 57 -1.52516557 -2.13894785 58 0.41581003 -1.52516557 59 -0.90036731 0.41581003 60 1.23619473 -0.90036731 > 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/7ra0g1353080960.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/8ooq61353080960.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/fisher/rcomp/tmp/9koa71353080960.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/fisher/rcomp/tmp/10bpfv1353080960.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/fisher/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/fisher/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/11sfp61353080960.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/12vbp01353080960.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/1342ik1353080960.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/145r281353080960.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/15gtfw1353080960.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/16mqhw1353080960.tab") + } > > try(system("convert tmp/1fkt71353080960.ps tmp/1fkt71353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/2nrxw1353080960.ps tmp/2nrxw1353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/3xiqq1353080960.ps tmp/3xiqq1353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/4kmxa1353080960.ps tmp/4kmxa1353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/563kz1353080960.ps tmp/563kz1353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/6jbqb1353080960.ps tmp/6jbqb1353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/7ra0g1353080960.ps tmp/7ra0g1353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/8ooq61353080960.ps tmp/8ooq61353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/9koa71353080960.ps tmp/9koa71353080960.png",intern=TRUE)) character(0) > try(system("convert tmp/10bpfv1353080960.ps tmp/10bpfv1353080960.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 6.088 1.287 7.394