R version 2.9.0 (2009-04-17) Copyright (C) 2009 The R Foundation for Statistical Computing ISBN 3-900051-07-0 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(10 + ,24 + ,14 + ,11 + ,12 + ,24 + ,26 + ,14 + ,25 + ,11 + ,7 + ,8 + ,25 + ,23 + ,18 + ,17 + ,6 + ,17 + ,8 + ,30 + ,25 + ,15 + ,18 + ,12 + ,10 + ,8 + ,19 + ,23 + ,18 + ,18 + ,8 + ,12 + ,9 + ,22 + ,19 + ,11 + ,16 + ,10 + ,12 + ,7 + ,22 + ,29 + ,17 + ,20 + ,10 + ,11 + ,4 + ,25 + ,25 + ,19 + ,16 + ,11 + ,11 + ,11 + ,23 + ,21 + ,7 + ,18 + ,16 + ,12 + ,7 + ,17 + ,22 + ,12 + ,17 + ,11 + ,13 + ,7 + ,21 + ,25 + ,13 + ,23 + ,13 + ,14 + ,12 + ,19 + ,24 + ,15 + ,30 + ,12 + ,16 + ,10 + ,19 + ,18 + ,14 + ,23 + ,8 + ,11 + ,10 + ,15 + ,22 + ,14 + ,18 + ,12 + ,10 + ,8 + ,16 + ,15 + ,16 + ,15 + ,11 + ,11 + ,8 + ,23 + ,22 + ,16 + ,12 + ,4 + ,15 + ,4 + ,27 + ,28 + ,12 + ,21 + ,9 + ,9 + ,9 + ,22 + ,20 + ,12 + ,15 + ,8 + ,11 + ,8 + ,14 + ,12 + ,13 + ,20 + ,8 + ,17 + ,7 + ,22 + ,24 + ,16 + ,31 + ,14 + ,17 + ,11 + ,23 + ,20 + ,9 + ,27 + ,15 + ,11 + ,9 + ,23 + ,21 + ,11 + ,19 + ,11 + ,11 + ,8 + ,20 + ,28 + ,14 + ,16 + ,8 + ,15 + ,9 + ,23 + ,24 + ,11 + ,21 + ,9 + ,13 + ,9 + ,19 + ,24 + ,17 + ,17 + ,9 + ,13 + ,6 + ,22 + ,23 + ,14 + ,25 + ,8 + ,12 + ,7 + ,32 + ,25 + ,15 + ,17 + ,9 + ,17 + ,9 + ,25 + ,21 + ,11 + ,32 + ,16 + ,9 + ,6 + ,29 + ,26 + ,15 + ,33 + ,11 + ,9 + ,6 + ,28 + ,22 + ,14 + ,13 + ,16 + ,12 + ,5 + ,17 + ,22 + ,11 + ,32 + ,12 + ,18 + ,12 + ,28 + ,22 + ,12 + ,25 + ,12 + ,12 + ,7 + ,29 + ,23 + ,9 + ,18 + ,10 + ,15 + ,8 + ,14 + ,17 + ,16 + ,17 + ,9 + ,16 + ,5 + ,25 + ,23 + ,13 + ,20 + ,10 + ,10 + ,8 + ,26 + ,23 + ,15 + ,15 + ,12 + ,11 + ,8 + ,20 + ,25 + ,10 + ,33 + ,14 + ,9 + ,6 + ,32 + ,24 + ,13 + ,23 + ,14 + ,17 + ,7 + ,25 + ,21 + ,16 + ,20 + ,10 + ,12 + ,8 + ,20 + ,28 + ,15 + ,11 + ,6 + ,6 + ,4 + ,15 + ,16 + ,13 + ,26 + ,13 + ,12 + ,8 + ,24 + ,29 + ,16 + ,15 + ,11 + ,11 + ,8 + ,23 + ,22 + ,15 + ,12 + ,7 + ,7 + ,4 + ,22 + ,28 + ,16 + ,14 + ,15 + ,13 + ,8 + ,14 + ,16 + ,15 + ,17 + ,9 + ,12 + ,9 + ,24 + ,25 + ,13 + ,21 + ,10 + ,13 + ,6 + ,24 + ,24 + ,11 + ,16 + ,10 + ,12 + ,7 + ,22 + ,29 + ,17 + ,10 + ,10 + ,11 + ,5 + ,19 + ,23 + ,10 + ,29 + ,11 + ,9 + ,5 + ,31 + ,30 + ,17 + ,31 + ,8 + ,11 + ,8 + ,22 + ,24 + ,14 + ,9 + ,13 + ,10 + ,6 + ,19 + ,25 + ,15 + ,20 + ,11 + ,11 + ,8 + ,25 + ,25 + ,16 + ,30 + ,9 + ,15 + ,9 + ,27 + ,26 + ,12 + ,21 + ,12 + ,14 + ,9 + ,22 + ,24 + ,11 + ,21 + ,12 + ,13 + ,8 + ,19 + ,22 + ,16 + ,20 + ,8 + ,16 + ,10 + ,25 + ,24 + ,9 + ,23 + ,14 + ,8 + ,5 + ,19 + ,27 + ,15 + ,21 + ,11 + ,16 + ,7 + ,20 + ,24 + ,15 + ,19 + ,10 + ,12 + ,7 + ,17 + ,21 + ,13 + ,16 + ,11 + ,9 + ,5 + ,17 + ,23 + ,15 + ,22 + ,10 + ,15 + ,6 + ,22 + ,20 + ,15 + ,30 + ,12 + ,16 + ,10 + ,19 + ,18 + ,18 + ,18 + ,8 + ,15 + ,10 + ,21 + ,22 + ,16 + ,23 + ,14 + ,11 + ,10 + ,20 + ,29 + ,12 + ,25 + ,14 + ,11 + ,5 + ,17 + ,15 + ,15 + ,28 + ,8 + ,16 + ,12 + ,18 + ,24 + ,13 + ,9 + ,6 + ,8 + ,11 + ,29 + ,23 + ,13 + ,16 + ,8 + ,13 + ,5 + ,21 + ,24 + ,13 + ,25 + ,14 + ,15 + ,9 + ,22 + ,24 + ,14 + ,29 + ,11 + ,7 + ,4 + ,26 + ,22 + ,15 + ,14 + ,11 + ,12 + ,7 + ,17 + ,16 + ,11 + ,22 + ,14 + ,14 + ,11 + ,25 + ,19 + ,14 + ,20 + ,11 + ,17 + ,8 + ,21 + ,23 + ,17 + ,15 + ,8 + ,10 + ,4 + ,22 + ,24 + ,13 + ,22 + ,11 + ,13 + ,11 + ,24 + ,18 + ,12 + ,16 + ,8 + ,9 + ,4 + ,18 + ,23 + ,13 + ,22 + ,13 + ,12 + ,13 + ,22 + ,15 + ,16 + ,30 + ,12 + ,15 + ,10 + ,29 + ,22 + ,13 + ,16 + ,9 + ,12 + ,9 + ,10 + ,13 + ,19 + ,20 + ,7 + ,11 + ,9 + ,26 + ,22) + ,dim=c(7 + ,80) + ,dimnames=list(c('Perceived_happiness' + ,'Concern_over_mistakes' + ,'Doubts_about_actions' + ,'Parental_expectations' + ,'Parental_criticism' + ,'Personal_standards' + ,'Organization') + ,1:80)) > y <- array(NA,dim=c(7,80),dimnames=list(c('Perceived_happiness','Concern_over_mistakes','Doubts_about_actions','Parental_expectations','Parental_criticism','Personal_standards','Organization'),1:80)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '1' > #'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.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 Perceived_happiness Concern_over_mistakes Doubts_about_actions 1 10 24 14 2 14 25 11 3 18 17 6 4 15 18 12 5 18 18 8 6 11 16 10 7 17 20 10 8 19 16 11 9 7 18 16 10 12 17 11 11 13 23 13 12 15 30 12 13 14 23 8 14 14 18 12 15 16 15 11 16 16 12 4 17 12 21 9 18 12 15 8 19 13 20 8 20 16 31 14 21 9 27 15 22 11 19 11 23 14 16 8 24 11 21 9 25 17 17 9 26 14 25 8 27 15 17 9 28 11 32 16 29 15 33 11 30 14 13 16 31 11 32 12 32 12 25 12 33 9 18 10 34 16 17 9 35 13 20 10 36 15 15 12 37 10 33 14 38 13 23 14 39 16 20 10 40 15 11 6 41 13 26 13 42 16 15 11 43 15 12 7 44 16 14 15 45 15 17 9 46 13 21 10 47 11 16 10 48 17 10 10 49 10 29 11 50 17 31 8 51 14 9 13 52 15 20 11 53 16 30 9 54 12 21 12 55 11 21 12 56 16 20 8 57 9 23 14 58 15 21 11 59 15 19 10 60 13 16 11 61 15 22 10 62 15 30 12 63 18 18 8 64 16 23 14 65 12 25 14 66 15 28 8 67 13 9 6 68 13 16 8 69 13 25 14 70 14 29 11 71 15 14 11 72 11 22 14 73 14 20 11 74 17 15 8 75 13 22 11 76 12 16 8 77 13 22 13 78 16 30 12 79 13 16 9 80 19 20 7 Parental_expectations Parental_criticism Personal_standards Organization t 1 11 12 24 26 1 2 7 8 25 23 2 3 17 8 30 25 3 4 10 8 19 23 4 5 12 9 22 19 5 6 12 7 22 29 6 7 11 4 25 25 7 8 11 11 23 21 8 9 12 7 17 22 9 10 13 7 21 25 10 11 14 12 19 24 11 12 16 10 19 18 12 13 11 10 15 22 13 14 10 8 16 15 14 15 11 8 23 22 15 16 15 4 27 28 16 17 9 9 22 20 17 18 11 8 14 12 18 19 17 7 22 24 19 20 17 11 23 20 20 21 11 9 23 21 21 22 11 8 20 28 22 23 15 9 23 24 23 24 13 9 19 24 24 25 13 6 22 23 25 26 12 7 32 25 26 27 17 9 25 21 27 28 9 6 29 26 28 29 9 6 28 22 29 30 12 5 17 22 30 31 18 12 28 22 31 32 12 7 29 23 32 33 15 8 14 17 33 34 16 5 25 23 34 35 10 8 26 23 35 36 11 8 20 25 36 37 9 6 32 24 37 38 17 7 25 21 38 39 12 8 20 28 39 40 6 4 15 16 40 41 12 8 24 29 41 42 11 8 23 22 42 43 7 4 22 28 43 44 13 8 14 16 44 45 12 9 24 25 45 46 13 6 24 24 46 47 12 7 22 29 47 48 11 5 19 23 48 49 9 5 31 30 49 50 11 8 22 24 50 51 10 6 19 25 51 52 11 8 25 25 52 53 15 9 27 26 53 54 14 9 22 24 54 55 13 8 19 22 55 56 16 10 25 24 56 57 8 5 19 27 57 58 16 7 20 24 58 59 12 7 17 21 59 60 9 5 17 23 60 61 15 6 22 20 61 62 16 10 19 18 62 63 15 10 21 22 63 64 11 10 20 29 64 65 11 5 17 15 65 66 16 12 18 24 66 67 8 11 29 23 67 68 13 5 21 24 68 69 15 9 22 24 69 70 7 4 26 22 70 71 12 7 17 16 71 72 14 11 25 19 72 73 17 8 21 23 73 74 10 4 22 24 74 75 13 11 24 18 75 76 9 4 18 23 76 77 12 13 22 15 77 78 15 10 29 22 78 79 12 9 10 13 79 80 11 9 26 22 80 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) Concern_over_mistakes Doubts_about_actions 16.765323 -0.058976 -0.366096 Parental_expectations Parental_criticism Personal_standards 0.119755 0.037938 0.081720 Organization t -0.071443 0.006393 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -5.2832 -1.7774 0.2187 1.7719 5.0403 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 16.765323 2.593310 6.465 1.06e-08 *** Concern_over_mistakes -0.058976 0.055125 -1.070 0.28826 Doubts_about_actions -0.366096 0.112500 -3.254 0.00173 ** Parental_expectations 0.119755 0.101328 1.182 0.24115 Parental_criticism 0.037938 0.132266 0.287 0.77506 Personal_standards 0.081720 0.073945 1.105 0.27278 Organization -0.071443 0.079607 -0.897 0.37247 t 0.006393 0.011177 0.572 0.56911 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.276 on 72 degrees of freedom Multiple R-squared: 0.2318, Adjusted R-squared: 0.1572 F-statistic: 3.104 on 7 and 72 DF, p-value: 0.00643 > 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,] 0.8424468 0.3151063 0.1575532 [2,] 0.7424652 0.5150697 0.2575348 [3,] 0.7064647 0.5870707 0.2935353 [4,] 0.7357770 0.5284459 0.2642230 [5,] 0.6627027 0.6745947 0.3372973 [6,] 0.6326612 0.7346777 0.3673388 [7,] 0.7937150 0.4125699 0.2062850 [8,] 0.8900564 0.2198873 0.1099436 [9,] 0.8518671 0.2962659 0.1481329 [10,] 0.8641877 0.2716246 0.1358123 [11,] 0.8716654 0.2566692 0.1283346 [12,] 0.8481516 0.3036968 0.1518484 [13,] 0.7975598 0.4048804 0.2024402 [14,] 0.7797044 0.4405913 0.2202956 [15,] 0.8529872 0.2940256 0.1470128 [16,] 0.8262909 0.3474182 0.1737091 [17,] 0.7741152 0.4517697 0.2258848 [18,] 0.7224966 0.5550067 0.2775034 [19,] 0.7134168 0.5731664 0.2865832 [20,] 0.7882980 0.4234040 0.2117020 [21,] 0.8014766 0.3970468 0.1985234 [22,] 0.7640739 0.4718522 0.2359261 [23,] 0.9072273 0.1855454 0.0927727 [24,] 0.8857705 0.2284590 0.1142295 [25,] 0.8531189 0.2937621 0.1468811 [26,] 0.8775486 0.2449028 0.1224514 [27,] 0.8662087 0.2675826 0.1337913 [28,] 0.8296832 0.3406337 0.1703168 [29,] 0.8749990 0.2500019 0.1250010 [30,] 0.8369297 0.3261406 0.1630703 [31,] 0.8018792 0.3962416 0.1981208 [32,] 0.7807725 0.4384551 0.2192275 [33,] 0.7276151 0.5447698 0.2723849 [34,] 0.7944867 0.4110266 0.2055133 [35,] 0.7413832 0.5172337 0.2586168 [36,] 0.6915722 0.6168555 0.3084278 [37,] 0.7295749 0.5408502 0.2704251 [38,] 0.7813402 0.4373196 0.2186598 [39,] 0.8508555 0.2982889 0.1491445 [40,] 0.8737661 0.2524678 0.1262339 [41,] 0.8760920 0.2478161 0.1239080 [42,] 0.8599927 0.2800146 0.1400073 [43,] 0.8223189 0.3553621 0.1776811 [44,] 0.7844670 0.4310661 0.2155330 [45,] 0.7736651 0.4526697 0.2263349 [46,] 0.7064864 0.5870273 0.2935136 [47,] 0.7700676 0.4598647 0.2299324 [48,] 0.7070021 0.5859959 0.2929979 [49,] 0.6409161 0.7181678 0.3590839 [50,] 0.5519242 0.8961516 0.4480758 [51,] 0.4618254 0.9236508 0.5381746 [52,] 0.3839614 0.7679227 0.6160386 [53,] 0.5262403 0.9475195 0.4737597 [54,] 0.6971632 0.6056736 0.3028368 [55,] 0.5904056 0.8191889 0.4095944 [56,] 0.5423622 0.9152756 0.4576378 [57,] 0.4590893 0.9181786 0.5409107 [58,] 0.4570108 0.9140215 0.5429892 [59,] 0.6507264 0.6985471 0.3492736 > postscript(file="/var/www/html/rcomp/tmp/1u30n1290528234.ps",horizontal=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$resid) > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/2nczq1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$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/html/rcomp/tmp/3nczq1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/4nczq1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/5x3gb1290528234.ps",horizontal=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 = 80 Frequency = 1 1 2 3 4 5 6 -2.10729701 1.18172279 1.40978491 2.25325958 2.97410569 -2.62774381 7 8 9 10 11 12 3.30440390 5.04030578 -4.42389691 -1.55205001 0.31015326 1.75820467 13 14 15 16 17 18 0.08602554 0.86294868 2.12183695 -0.84964153 -2.12888040 -2.97457462 19 20 21 22 23 24 -2.16312807 3.15653973 -2.85381244 -2.01319464 -1.34268933 -3.12171884 25 26 27 28 29 30 2.43319746 -1.05998529 -0.56046788 -0.01737242 2.00068195 2.22284964 31 32 33 34 35 36 -3.01040617 -1.53168607 -5.28315642 0.80917460 -1.13120234 1.81316904 37 38 39 40 41 42 -2.13617011 -0.37058270 2.45125060 -0.12873544 0.63516712 1.94922738 43 44 45 46 47 48 0.44267394 3.40916305 0.29072380 -1.19105402 -2.88985465 2.76203402 49 50 51 52 53 54 -2.99875975 2.96801246 1.00686804 1.23106385 1.47328119 -1.58013581 55 56 57 58 59 60 -2.32656089 0.36111263 -2.41940255 1.02800407 1.04741558 -0.19178252 61 62 63 64 65 66 0.41018722 1.43855731 2.50216053 4.04805675 -0.40573157 0.26515225 67 68 69 70 71 72 -3.56835580 -2.07566932 0.17230865 0.98149488 0.68470412 -2.58229262 73 74 75 76 77 78 -0.43772154 2.14247976 -1.56972584 -2.43613807 -0.85733037 1.92459471 79 80 -1.69884313 3.25369282 > postscript(file="/var/www/html/rcomp/tmp/6x3gb1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 80 Frequency = 1 lag(myerror, k = 1) myerror 0 -2.10729701 NA 1 1.18172279 -2.10729701 2 1.40978491 1.18172279 3 2.25325958 1.40978491 4 2.97410569 2.25325958 5 -2.62774381 2.97410569 6 3.30440390 -2.62774381 7 5.04030578 3.30440390 8 -4.42389691 5.04030578 9 -1.55205001 -4.42389691 10 0.31015326 -1.55205001 11 1.75820467 0.31015326 12 0.08602554 1.75820467 13 0.86294868 0.08602554 14 2.12183695 0.86294868 15 -0.84964153 2.12183695 16 -2.12888040 -0.84964153 17 -2.97457462 -2.12888040 18 -2.16312807 -2.97457462 19 3.15653973 -2.16312807 20 -2.85381244 3.15653973 21 -2.01319464 -2.85381244 22 -1.34268933 -2.01319464 23 -3.12171884 -1.34268933 24 2.43319746 -3.12171884 25 -1.05998529 2.43319746 26 -0.56046788 -1.05998529 27 -0.01737242 -0.56046788 28 2.00068195 -0.01737242 29 2.22284964 2.00068195 30 -3.01040617 2.22284964 31 -1.53168607 -3.01040617 32 -5.28315642 -1.53168607 33 0.80917460 -5.28315642 34 -1.13120234 0.80917460 35 1.81316904 -1.13120234 36 -2.13617011 1.81316904 37 -0.37058270 -2.13617011 38 2.45125060 -0.37058270 39 -0.12873544 2.45125060 40 0.63516712 -0.12873544 41 1.94922738 0.63516712 42 0.44267394 1.94922738 43 3.40916305 0.44267394 44 0.29072380 3.40916305 45 -1.19105402 0.29072380 46 -2.88985465 -1.19105402 47 2.76203402 -2.88985465 48 -2.99875975 2.76203402 49 2.96801246 -2.99875975 50 1.00686804 2.96801246 51 1.23106385 1.00686804 52 1.47328119 1.23106385 53 -1.58013581 1.47328119 54 -2.32656089 -1.58013581 55 0.36111263 -2.32656089 56 -2.41940255 0.36111263 57 1.02800407 -2.41940255 58 1.04741558 1.02800407 59 -0.19178252 1.04741558 60 0.41018722 -0.19178252 61 1.43855731 0.41018722 62 2.50216053 1.43855731 63 4.04805675 2.50216053 64 -0.40573157 4.04805675 65 0.26515225 -0.40573157 66 -3.56835580 0.26515225 67 -2.07566932 -3.56835580 68 0.17230865 -2.07566932 69 0.98149488 0.17230865 70 0.68470412 0.98149488 71 -2.58229262 0.68470412 72 -0.43772154 -2.58229262 73 2.14247976 -0.43772154 74 -1.56972584 2.14247976 75 -2.43613807 -1.56972584 76 -0.85733037 -2.43613807 77 1.92459471 -0.85733037 78 -1.69884313 1.92459471 79 3.25369282 -1.69884313 80 NA 3.25369282 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] 1.18172279 -2.10729701 [2,] 1.40978491 1.18172279 [3,] 2.25325958 1.40978491 [4,] 2.97410569 2.25325958 [5,] -2.62774381 2.97410569 [6,] 3.30440390 -2.62774381 [7,] 5.04030578 3.30440390 [8,] -4.42389691 5.04030578 [9,] -1.55205001 -4.42389691 [10,] 0.31015326 -1.55205001 [11,] 1.75820467 0.31015326 [12,] 0.08602554 1.75820467 [13,] 0.86294868 0.08602554 [14,] 2.12183695 0.86294868 [15,] -0.84964153 2.12183695 [16,] -2.12888040 -0.84964153 [17,] -2.97457462 -2.12888040 [18,] -2.16312807 -2.97457462 [19,] 3.15653973 -2.16312807 [20,] -2.85381244 3.15653973 [21,] -2.01319464 -2.85381244 [22,] -1.34268933 -2.01319464 [23,] -3.12171884 -1.34268933 [24,] 2.43319746 -3.12171884 [25,] -1.05998529 2.43319746 [26,] -0.56046788 -1.05998529 [27,] -0.01737242 -0.56046788 [28,] 2.00068195 -0.01737242 [29,] 2.22284964 2.00068195 [30,] -3.01040617 2.22284964 [31,] -1.53168607 -3.01040617 [32,] -5.28315642 -1.53168607 [33,] 0.80917460 -5.28315642 [34,] -1.13120234 0.80917460 [35,] 1.81316904 -1.13120234 [36,] -2.13617011 1.81316904 [37,] -0.37058270 -2.13617011 [38,] 2.45125060 -0.37058270 [39,] -0.12873544 2.45125060 [40,] 0.63516712 -0.12873544 [41,] 1.94922738 0.63516712 [42,] 0.44267394 1.94922738 [43,] 3.40916305 0.44267394 [44,] 0.29072380 3.40916305 [45,] -1.19105402 0.29072380 [46,] -2.88985465 -1.19105402 [47,] 2.76203402 -2.88985465 [48,] -2.99875975 2.76203402 [49,] 2.96801246 -2.99875975 [50,] 1.00686804 2.96801246 [51,] 1.23106385 1.00686804 [52,] 1.47328119 1.23106385 [53,] -1.58013581 1.47328119 [54,] -2.32656089 -1.58013581 [55,] 0.36111263 -2.32656089 [56,] -2.41940255 0.36111263 [57,] 1.02800407 -2.41940255 [58,] 1.04741558 1.02800407 [59,] -0.19178252 1.04741558 [60,] 0.41018722 -0.19178252 [61,] 1.43855731 0.41018722 [62,] 2.50216053 1.43855731 [63,] 4.04805675 2.50216053 [64,] -0.40573157 4.04805675 [65,] 0.26515225 -0.40573157 [66,] -3.56835580 0.26515225 [67,] -2.07566932 -3.56835580 [68,] 0.17230865 -2.07566932 [69,] 0.98149488 0.17230865 [70,] 0.68470412 0.98149488 [71,] -2.58229262 0.68470412 [72,] -0.43772154 -2.58229262 [73,] 2.14247976 -0.43772154 [74,] -1.56972584 2.14247976 [75,] -2.43613807 -1.56972584 [76,] -0.85733037 -2.43613807 [77,] 1.92459471 -0.85733037 [78,] -1.69884313 1.92459471 [79,] 3.25369282 -1.69884313 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 1.18172279 -2.10729701 2 1.40978491 1.18172279 3 2.25325958 1.40978491 4 2.97410569 2.25325958 5 -2.62774381 2.97410569 6 3.30440390 -2.62774381 7 5.04030578 3.30440390 8 -4.42389691 5.04030578 9 -1.55205001 -4.42389691 10 0.31015326 -1.55205001 11 1.75820467 0.31015326 12 0.08602554 1.75820467 13 0.86294868 0.08602554 14 2.12183695 0.86294868 15 -0.84964153 2.12183695 16 -2.12888040 -0.84964153 17 -2.97457462 -2.12888040 18 -2.16312807 -2.97457462 19 3.15653973 -2.16312807 20 -2.85381244 3.15653973 21 -2.01319464 -2.85381244 22 -1.34268933 -2.01319464 23 -3.12171884 -1.34268933 24 2.43319746 -3.12171884 25 -1.05998529 2.43319746 26 -0.56046788 -1.05998529 27 -0.01737242 -0.56046788 28 2.00068195 -0.01737242 29 2.22284964 2.00068195 30 -3.01040617 2.22284964 31 -1.53168607 -3.01040617 32 -5.28315642 -1.53168607 33 0.80917460 -5.28315642 34 -1.13120234 0.80917460 35 1.81316904 -1.13120234 36 -2.13617011 1.81316904 37 -0.37058270 -2.13617011 38 2.45125060 -0.37058270 39 -0.12873544 2.45125060 40 0.63516712 -0.12873544 41 1.94922738 0.63516712 42 0.44267394 1.94922738 43 3.40916305 0.44267394 44 0.29072380 3.40916305 45 -1.19105402 0.29072380 46 -2.88985465 -1.19105402 47 2.76203402 -2.88985465 48 -2.99875975 2.76203402 49 2.96801246 -2.99875975 50 1.00686804 2.96801246 51 1.23106385 1.00686804 52 1.47328119 1.23106385 53 -1.58013581 1.47328119 54 -2.32656089 -1.58013581 55 0.36111263 -2.32656089 56 -2.41940255 0.36111263 57 1.02800407 -2.41940255 58 1.04741558 1.02800407 59 -0.19178252 1.04741558 60 0.41018722 -0.19178252 61 1.43855731 0.41018722 62 2.50216053 1.43855731 63 4.04805675 2.50216053 64 -0.40573157 4.04805675 65 0.26515225 -0.40573157 66 -3.56835580 0.26515225 67 -2.07566932 -3.56835580 68 0.17230865 -2.07566932 69 0.98149488 0.17230865 70 0.68470412 0.98149488 71 -2.58229262 0.68470412 72 -0.43772154 -2.58229262 73 2.14247976 -0.43772154 74 -1.56972584 2.14247976 75 -2.43613807 -1.56972584 76 -0.85733037 -2.43613807 77 1.92459471 -0.85733037 78 -1.69884313 1.92459471 79 3.25369282 -1.69884313 > 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/html/rcomp/tmp/78cfw1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/88cfw1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/www/html/rcomp/tmp/9jmez1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/www/html/rcomp/tmp/10jmez1290528234.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/www/html/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/www/html/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$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/html/rcomp/tmp/114mvn1290528234.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/html/rcomp/tmp/1285ca1290528234.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/html/rcomp/tmp/13worm1290528234.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/html/rcomp/tmp/14067s1290528234.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/html/rcomp/tmp/15lp6y1290528234.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/html/rcomp/tmp/167p441290528234.tab") + } > try(system("convert tmp/1u30n1290528234.ps tmp/1u30n1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/2nczq1290528234.ps tmp/2nczq1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/3nczq1290528234.ps tmp/3nczq1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/4nczq1290528234.ps tmp/4nczq1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/5x3gb1290528234.ps tmp/5x3gb1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/6x3gb1290528234.ps tmp/6x3gb1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/78cfw1290528234.ps tmp/78cfw1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/88cfw1290528234.ps tmp/88cfw1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/9jmez1290528234.ps tmp/9jmez1290528234.png",intern=TRUE)) character(0) > try(system("convert tmp/10jmez1290528234.ps tmp/10jmez1290528234.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 2.753 1.687 13.818