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*The author of this computation has been verified* R Software Module: /rwasp_spectrum.wasp (opens new window with default values) Title produced by software: Spectral Analysis Date of computation: Wed, 22 Dec 2010 22:21:27 +0000   Cite this page as follows: Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Dec/22/t1293056371arqfh6lhaxucq67.htm/, Retrieved Thu, 23 May 2013 16:32:53 +0000   Original text written by user:   IsPrivate? No (this computation is public)   User-defined keywords:   System-generated keywords (parent): t12613098899zg8dxte964xog5 (pk = 69845) Estimated Impact 34   Dataseries X: » Textfile « » CSV « » Stem and Leaf « » Histogram « » Kernel Density « » Harrell-Davis Quantiles « » Central Tendency « » Variability « 120.9 119.6 125.9 116.1 107.5 116.7 112.5 113 126.4 114.1 112.5 112.4 113.1 116.3 111.7 118.8 116.5 125.1 113.1 119.6 114.4 114 117.8 117 120.9 115 117.3 119.4 114.9 125.8 117.6 117.6 114.9 121.9 117 106.4 110.5 113.6 114.2 125.4 124.6 120.2 120.8 111.4 124.1 120.2 125.5 116 117 105.7 102 106.4 96.9 107.6 98.8 101.1 105.7 104.6 103.2 101.6   Output produced by software: Summary of computational transaction Raw Input view raw input (R code) Raw Output view raw output of R engine Computing time 2 seconds R Server 'Gwilym Jenkins' @ 72.249.127.135 Raw Periodogram Parameter Value Box-Cox transformation parameter (lambda) 1 Degree of non-seasonal differencing (d) 1 Degree of seasonal differencing (D) 0 Seasonal Period (s) 12 Frequency (Period) Spectrum 0.0167 (60) 3.963158 0.0333 (30) 2.111563 0.05 (20) 10.473365 0.0667 (15) 22.169752 0.0833 (12) 6.16 0.1 (10) 12.719587 0.1167 (8.5714) 6.368844 0.1333 (7.5) 65.103176 0.15 (6.6667) 18.005925 0.1667 (6) 19.957626 0.1833 (5.4545) 50.667919 0.2 (5) 10.673346 0.2167 (4.6154) 3.261774 0.2333 (4.2857) 4.816078 0.25 (4) 38.643924 0.2667 (3.75) 4.515703 0.2833 (3.5294) 61.496441 0.3 (3.3333) 8.361998 0.3167 (3.1579) 27.615377 0.3333 (3) 62.870543 0.35 (2.8571) 136.034606 0.3667 (2.7273) 3.872454 0.3833 (2.6087) 36.202636 0.4 (2.5) 14.689622 0.4167 (2.4) 379.372422 0.4333 (2.3077) 29.343408 0.45 (2.2222) 205.963606 0.4667 (2.1429) 58.890018 0.4833 (2.069) 54.522992 0.5 (2) 29.709642   Charts produced by software: http://www.freestatistics.org/blog/date/2010/Dec/22/t1293056371arqfh6lhaxucq67/14ruo1293056485.png (opens in new window) http://www.freestatistics.org/blog/date/2010/Dec/22/t1293056371arqfh6lhaxucq67/14ruo1293056485.ps (opens in new window) Click here to open pdf file. http://www.freestatistics.org/blog/date/2010/Dec/22/t1293056371arqfh6lhaxucq67/24ruo1293056485.png (opens in new window) http://www.freestatistics.org/blog/date/2010/Dec/22/t1293056371arqfh6lhaxucq67/24ruo1293056485.ps (opens in new window) Click here to open pdf file.   Parameters (Session): par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;   Parameters (R input): par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;   R code (references can be found in the software module): par1 <- as.numeric(par1) par2 <- as.numeric(par2) par3 <- as.numeric(par3) par4 <- as.numeric(par4) if (par1 == 0) { x <- log(x) } else { x <- (x ^ par1 - 1) / par1 } if (par2 > 0) x <- diff(x,lag=1,difference=par2) if (par3 > 0) x <- diff(x,lag=par4,difference=par3) bitmap(file='test1.png') r <- spectrum(x,main='Raw Periodogram') dev.off() bitmap(file='test2.png') cpgram(x,main='Cumulative Periodogram') dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Raw Periodogram',2,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Parameter',header=TRUE) a<-table.element(a,'Value',header=TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE) a<-table.element(a,par1) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE) a<-table.element(a,par2) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE) a<-table.element(a,par3) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Seasonal Period (s)',header=TRUE) a<-table.element(a,par4) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'Frequency (Period)',header=TRUE) a<-table.element(a,'Spectrum',header=TRUE) a<-table.row.end(a) for (i in 1:length(r$freq)) { a<-table.row.start(a) mylab <- round(r$freq[i],4) mylab <- paste(mylab,' (',sep='') mylab <- paste(mylab,round(1/r$freq[i],4),sep='') mylab <- paste(mylab,')',sep='') a<-table.element(a,mylab,header=TRUE) a<-table.element(a,round(r$spec[i],6)) a<-table.row.end(a) } a<-table.end(a) table.save(a,file='mytable.tab')