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

Title produced by software: Classical Decomposition

Date of computation: Fri, 10 Dec 2010 17:43:32 +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/10/t1292003003fbyj8fv8u902xaf.htm/, Retrieved Fri, 10 Dec 2010 18:43:24 +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/2010/Dec/10/t1292003003fbyj8fv8u902xaf.htm/},
    year = {2010},
}
@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 = {2010},
    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:

KDGP2W92

Dataseries X:

» Textbox « » Textfile « » CSV «

6.715 7.703 9.856 8.326 9.269 7.035 10.342 11.682 10.304 11.385 9.777 8.882 7.897 6.930 9.545 9.110 7.459 7.320 10.017 12.307 11.072 10.749 9.589 9.080 7.384 8.062 8.511 8.684 8.306 7.643 10.577 13.747 11.783 11.611 9.946 8.693 7.303 7.609 9.423 8.584 7.586 6.843 11.811 13.414 12.103 11.501 8.213 7.982 7.687 7.180 7.862 8.043 8.340 6.692 10.065 12.684 11.587 9.843 8.110 7.940 6.475 6.121 9.669 7.778 7.826 7.403 10.741 14.023 11.519 10.236 8.075 8.157

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	'RServer@AstonUniversity' @ vre.aston.ac.uk

Classical Decomposition by Moving Averages
t	Observations	Fit	Trend	Seasonal	Random
1	6.715	NA	NA	-1.82677847222222	NA
2	7.703	NA	NA	-2.01841180555556	NA
3	9.856	NA	NA	-0.226445138888889	NA
4	8.326	NA	NA	-0.78919513888889	NA
5	9.269	NA	NA	-1.30183680555556	NA
6	7.035	NA	NA	-2.00481180555556	NA
7	10.342	10.6534631944444	9.32225	1.33121319444445	-0.311463194444443
8	11.682	12.8900881944444	9.33929166666667	3.55079652777778	-1.20808819444444
9	10.304	11.4626631944444	9.294125	2.16853819444444	-1.15866319444444
10	11.385	11.1364965277778	9.31383333333333	1.82266319444444	0.248503472222223
11	9.777	9.21953819444444	9.27108333333333	-0.0515451388888889	0.557461805555555
12	8.882	8.55335486111111	9.20754166666667	-0.654186805555555	0.32864513888889
13	7.897	7.37909652777778	9.205875	-1.82677847222222	0.517903472222221
14	6.93	7.19996319444444	9.218375	-2.01841180555556	-0.269963194444445
15	9.545	9.04997152777778	9.27641666666667	-0.226445138888889	0.495028472222224
16	9.11	8.49272152777778	9.28191666666667	-0.78919513888889	0.617278472222223
17	7.459	7.94574652777778	9.24758333333333	-1.30183680555556	-0.486746527777777
18	7.32	7.24318819444445	9.248	-2.00481180555556	0.076811805555554
19	10.017	10.5660881944444	9.234875	1.33121319444445	-0.549088194444446
20	12.307	12.8114631944444	9.26066666666667	3.55079652777778	-0.504463194444444
21	11.072	11.4332881944444	9.26475	2.16853819444444	-0.361288194444446
22	10.749	11.0265798611111	9.20391666666667	1.82266319444444	-0.277579861111111
23	9.589	9.16991319444444	9.22145833333333	-0.0515451388888889	0.419086805555557
24	9.08	8.61602152777778	9.27020833333333	-0.654186805555555	0.463978472222223
25	7.384	7.48022152777778	9.307	-1.82677847222222	-0.096221527777777
26	8.062	7.37192152777778	9.39033333333333	-2.01841180555556	0.690078472222224
27	8.511	9.25351319444444	9.47995833333333	-0.226445138888889	-0.742513194444445
28	8.684	8.75630486111111	9.5455	-0.78919513888889	-0.0723048611111103
29	8.306	8.29445486111111	9.59629166666667	-1.30183680555556	0.0115451388888896
30	7.643	7.59022986111111	9.59504166666667	-2.00481180555556	0.0527701388888886
31	10.577	10.9067548611111	9.57554166666666	1.33121319444445	-0.329754861111109
32	13.747	13.1040881944444	9.55329166666667	3.55079652777778	0.642911805555556
33	11.783	11.7409548611111	9.57241666666667	2.16853819444444	0.0420451388888878
34	11.611	11.4289131944444	9.60625	1.82266319444444	0.182086805555556
35	9.946	9.52053819444444	9.57208333333333	-0.0515451388888889	0.425461805555557
36	8.693	8.85456319444445	9.50875	-0.654186805555555	-0.161563194444446
37	7.303	7.70005486111111	9.52683333333333	-1.82677847222222	-0.397054861111112
38	7.609	7.54596319444445	9.564375	-2.01841180555556	0.063036805555555
39	9.423	9.33738819444444	9.56383333333333	-0.226445138888889	0.0856118055555566
40	8.584	8.78338819444444	9.57258333333333	-0.78919513888889	-0.199388194444445
41	7.586	8.19395486111111	9.49579166666667	-1.30183680555556	-0.607954861111109
42	6.843	7.38914652777778	9.39395833333333	-2.00481180555556	-0.546146527777777
43	11.811	10.7115465277778	9.38033333333333	1.33121319444445	1.09945347222222
44	13.414	12.9292548611111	9.37845833333333	3.55079652777778	0.484745138888892
45	12.103	11.4640798611111	9.29554166666667	2.16853819444444	0.638920138888889
46	11.501	11.0306215277778	9.20795833333333	1.82266319444444	0.470378472222221
47	8.213	9.16528819444444	9.21683333333333	-0.0515451388888889	-0.952288194444444
48	7.982	8.58777152777778	9.24195833333333	-0.654186805555555	-0.605771527777778
49	7.687	7.33613819444444	9.16291666666666	-1.82677847222222	0.350861805555557
50	7.18	7.04133819444444	9.05975	-2.01841180555556	0.138661805555556
51	7.862	8.78138819444444	9.00783333333333	-0.226445138888889	-0.919388194444442
52	8.043	8.12805486111111	8.91725	-0.78919513888889	-0.0850548611111126
53	8.34	7.54203819444444	8.843875	-1.30183680555556	0.797961805555556
54	6.692	6.83302152777778	8.83783333333333	-2.00481180555556	-0.141021527777779
55	10.065	10.1167965277778	8.78558333333333	1.33121319444445	-0.0517965277777783
56	12.684	12.2417548611111	8.69095833333333	3.55079652777778	0.442245138888888
57	11.587	10.8906631944444	8.722125	2.16853819444444	0.696336805555557
58	9.843	10.6090381944444	8.786375	1.82266319444444	-0.766038194444445
59	8.11	8.70237152777778	8.75391666666667	-0.0515451388888889	-0.592371527777779
60	7.94	8.10793819444444	8.762125	-0.654186805555555	-0.167938194444442
61	6.475	6.99313819444444	8.81991666666667	-1.82677847222222	-0.518138194444445
62	6.121	6.88546319444444	8.903875	-2.01841180555556	-0.764463194444442
63	9.669	8.73038819444444	8.95683333333333	-0.226445138888889	0.938611805555556
64	7.778	8.18117986111111	8.970375	-0.78919513888889	-0.403179861111111
65	7.826	7.68345486111111	8.98529166666667	-1.30183680555556	0.142545138888888
66	7.403	6.98806319444444	8.992875	-2.00481180555556	0.414936805555557
67	10.741	NA	NA	1.33121319444445	NA
68	14.023	NA	NA	3.55079652777778	NA
69	11.519	NA	NA	2.16853819444444	NA
70	10.236	NA	NA	1.82266319444444	NA
71	8.075	NA	NA	-0.0515451388888889	NA
72	8.157	NA	NA	-0.654186805555555	NA

Charts produced by software:

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/1uyl81292003008.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/1uyl81292003008.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/2uyl81292003008.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/2uyl81292003008.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/35p1s1292003008.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/35p1s1292003008.ps (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/45p1s1292003008.png (open in new window)

http://www.freestatistics.org/blog/date/2010/Dec/10/t1292003003fbyj8fv8u902xaf/45p1s1292003008.ps (open in new window)

Parameters (Session):

par1 = additive ; par2 = 12 ;

Parameters (R input):

par1 = additive ; 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')

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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