SHWWS9review1

*The author of this computation has been verified*

R Software Module: /rwasp_decompose.wasp (opens new window with default values)

Title produced by software: Classical Decomposition

Date of computation: Sat, 05 Dec 2009 03:47:34 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en.htm/, Retrieved Sat, 05 Dec 2009 11:48:14 +0100

BibTeX entries for LaTeX users:

@Manual{KEY, author = {{YOUR NAME}}, publisher = {Office for Research Development and Education}, title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en.htm/}, year = {2009}, } @Manual{R, title = {R: A Language and Environment for Statistical Computing}, author = {{R Development Core Team}}, organization = {R Foundation for Statistical Computing}, address = {Vienna, Austria}, year = {2009}, note = {{ISBN} 3-900051-07-0}, url = {http://www.R-project.org}, }

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

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7.8 7.8 7.8 7.5 7.5 7.1 7.5 7.5 7.6 7.7 7.7 7.9 8.1 8.2 8.2 8.2 7.9 7.3 6.9 6.6 6.7 6.9 7 7.1 7.2 7.1 6.9 7 6.8 6.4 6.7 6.6 6.4 6.3 6.2 6.5 6.8 6.8 6.4 6.1 5.8 6.1 7.2 7.3 6.9 6.1 5.8 6.2 7.1 7.7 7.9 7.7 7.4 7.5 8 8.1

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 Classical Decomposition by Moving Averages t Observations Fit Trend Seasonal Random 1 7.8 NA NA 1.05481536151932 NA 2 7.8 NA NA 1.05476429314202 NA 3 7.8 NA NA 1.02580815307596 NA 4 7.5 NA NA 1.01989441724888 NA 5 7.5 NA NA 0.98832610253764 NA 6 7.1 NA NA 0.96412743911143 NA 7 7.5 7.80619074180304 7.62916666666667 1.02320359259024 0.960775908259152 8 7.5 7.74807266049795 7.65833333333333 1.01171786644152 0.967982662093155 9 7.6 7.58538513046524 7.69166666666667 0.98618224881455 1.00192671423842 10 7.7 7.36273995606765 7.7375 0.951565745533784 1.04580632291032 11 7.7 7.30935078186014 7.78333333333333 0.939102884179032 1.05344513210521 12 7.9 7.65600755308225 7.80833333333333 0.980491895805625 1.03186941042391 13 8.1 8.218769691838 7.79166666666667 1.05481536151932 0.985548969457563 14 8.2 8.15244901574355 7.72916666666667 1.05476429314202 1.00583272390476 15 8.2 7.85170657166894 7.65416666666667 1.02580815307596 1.04435894606502 16 8.2 7.734199330804 7.58333333333333 1.01989441724888 1.06022610088943 17 7.9 7.4330358961685 7.52083333333333 0.98832610253764 1.06282279681606 18 7.3 7.19078381670608 7.45833333333333 0.96412743911143 1.01518835582850 19 6.9 7.5589165402604 7.3875 1.02320359259024 0.912829234619688 20 6.6 7.38975591613325 7.30416666666667 1.01171786644152 0.893128281218456 21 6.7 7.10462128416815 7.20416666666667 0.98618224881455 0.943048155843324 22 6.9 6.75611679328986 7.1 0.951565745533784 1.02129673170438 23 7 6.5776331179373 7.00416666666667 0.939102884179032 1.06421259357122 24 7.1 6.78582099555476 6.92083333333333 0.980491895805625 1.04629933572534 25 7.2 7.2518556104453 6.875 1.05481536151932 0.992849332194286 26 7.1 7.24271481290856 6.86666666666667 1.05476429314202 0.980295397983337 27 6.9 7.03106004920817 6.85416666666667 1.02580815307596 0.981359844989102 28 7 6.95228027757986 6.81666666666667 1.01989441724888 1.00686389508404 29 6.8 6.67943724298355 6.75833333333333 0.98832610253764 1.01804983752832 30 6.4 6.45965384204658 6.7 0.96412743911143 0.990765164278884 31 6.7 6.81283058733002 6.65833333333333 1.02320359259024 0.983438515623763 32 6.6 6.70684635628522 6.62916666666667 1.01171786644152 0.984069061581366 33 6.4 6.50469374947263 6.59583333333333 0.98618224881455 0.98390489183582 34 6.3 6.22086106142711 6.5375 0.951565745533784 1.01272154092359 35 6.2 6.06503946032292 6.45833333333333 0.939102884179032 1.02225221131041 36 6.5 6.27923351605519 6.40416666666667 0.980491895805625 1.03515818983007 37 6.8 6.76400350574261 6.4125 1.05481536151932 1.00532177344776 38 6.8 6.81641424443032 6.4625 1.05476429314202 0.99759195321151 39 6.4 6.68057559690722 6.5125 1.02580815307596 0.958001284045478 40 6.1 6.65481107254894 6.525 1.01989441724888 0.916630079126133 41 5.8 6.42411966649466 6.5 0.98832610253764 0.902847440755223 42 6.1 6.23870797058354 6.47083333333333 0.96412743911143 0.977766554992224 43 7.2 6.62097991371935 6.47083333333333 1.02320359259024 1.08745232485615 44 7.3 6.59724358742072 6.52083333333333 1.01171786644152 1.10652273229978 45 6.9 6.52934830569299 6.62083333333333 0.98618224881455 1.05676702742046 46 6.1 6.42306878235304 6.75 0.951565745533784 0.94970180247164 47 5.8 6.464158186099 6.88333333333333 0.939102884179032 0.897255270217975 48 6.2 6.87161403643775 7.00833333333333 0.980491895805625 0.902262549544195 49 7.1 NA 7.1 NA NA 50 7.7 NA 7.16666666666667 NA NA 51 7.9 NA NA NA NA 52 7.7 NA NA NA NA 53 7.4 NA NA NA NA 54 7.5 NA NA NA NA 55 8 NA NA NA NA 56 8.1 NA NA NA NA

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/1xwas1260010052.png (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/1xwas1260010052.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/20ink1260010052.png (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/20ink1260010052.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/3kt1l1260010052.png (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/3kt1l1260010052.ps (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/4rxci1260010052.png (open in new window) http://www.freestatistics.org/blog/date/2009/Dec/05/t1260010089eq5imiuggegk9en/4rxci1260010052.ps (open in new window)

Parameters (Session):

par1 = multiplicative ; par2 = 12 ;

Parameters (R input):

par1 = multiplicative ; par2 = 12 ;

R code (references can be found in the software module):

par2 <- as.numeric(par2) x <- ts(x,freq=par2) m <- decompose(x,type=par1) m$figure bitmap(file='test1.png') plot(m) dev.off() mylagmax <- length(x)/2 bitmap(file='test2.png') op <- par(mfrow = c(2,2)) acf(as.numeric(x),lag.max = mylagmax,main='Observed') acf(as.numeric(m$trend),na.action=na.pass,lag.max = mylagmax,main='Trend') acf(as.numeric(m$seasonal),na.action=na.pass,lag.max = mylagmax,main='Seasonal') acf(as.numeric(m$random),na.action=na.pass,lag.max = mylagmax,main='Random') par(op) dev.off() bitmap(file='test3.png') op <- par(mfrow = c(2,2)) spectrum(as.numeric(x),main='Observed') spectrum(as.numeric(m$trend[!is.na(m$trend)]),main='Trend') spectrum(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal') spectrum(as.numeric(m$random[!is.na(m$random)]),main='Random') par(op) dev.off() bitmap(file='test4.png') op <- par(mfrow = c(2,2)) cpgram(as.numeric(x),main='Observed') cpgram(as.numeric(m$trend[!is.na(m$trend)]),main='Trend') cpgram(as.numeric(m$seasonal[!is.na(m$seasonal)]),main='Seasonal') cpgram(as.numeric(m$random[!is.na(m$random)]),main='Random') par(op) dev.off() load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Classical Decomposition by Moving Averages',6,TRUE) a<-table.row.end(a) a<-table.row.start(a) a<-table.element(a,'t',header=TRUE) a<-table.element(a,'Observations',header=TRUE) a<-table.element(a,'Fit',header=TRUE) a<-table.element(a,'Trend',header=TRUE) a<-table.element(a,'Seasonal',header=TRUE) a<-table.element(a,'Random',header=TRUE) a<-table.row.end(a) for (i in 1:length(m$trend)) { a<-table.row.start(a) a<-table.element(a,i,header=TRUE) a<-table.element(a,x[i]) if (par1 == 'additive') a<-table.element(a,m$trend[i]+m$seasonal[i]) else a<-table.element(a,m$trend[i]*m$seasonal[i]) a<-table.element(a,m$trend[i]) a<-table.element(a,m$seasonal[i]) a<-table.element(a,m$random[i]) a<-table.row.end(a) } a<-table.end(a) table.save(a,file='mytable.tab')

Copyright

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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