| Tinneke Hermans - opgave 9 oef 2 - prijzen broodjes - additief decompositiemodel | | R Software Module: rwasp_decompose.wasp (opens new window with default values) | | Title produced by software: Classical Decomposition | | Date of computation: Wed, 21 May 2008 12:49:35 -0600 | | | | Cite this page as follows: | | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh.htm/, Retrieved Wed, 21 May 2008 20:52:31 +0200 | | | | User-defined keywords: | | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 4,07
4,08
4,09
4,08
4,09
4,12
4,14
4,14
4,14
4,14
4,14
4,23
4,29
4,32
4,33
4,35
4,35
4,35
4,35
4,36
4,36
4,38
4,4
4,4
4,4
4,43
4,44
4,46
4,47
4,49
4,49
4,57
4,62
4,64
4,66
4,67
4,68
4,72
4,74
4,75
4,76
4,77
4,76
4,77
4,77
4,78
4,81
4,81
4,85
4,92
4,96
4,95
4,96
4,97
5
5
5,01
5,01
5,02
5,04
5,04
5,19
5,22
5,22
5,22
5,24
5,28
5,34
5,36
5,38
5,39
5,41
5,44
5,51
5,55
5,56
5,57
5,58
5,58
5,59
5,61
5,63
5,64
5,64 | | | | Text written by user: | | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 4.07 | NA | NA | -0.0156319444444448 | NA | | 2 | 4.08 | NA | NA | 0.0288680555555559 | NA | | 3 | 4.09 | NA | NA | 0.0307013888888886 | NA | | 4 | 4.08 | NA | NA | 0.0182013888888886 | NA | | 5 | 4.09 | NA | NA | 0.00345138888888910 | NA | | 6 | 4.12 | NA | NA | -0.00479861111111104 | NA | | 7 | 4.14 | 4.11861805555555 | 4.13083333333333 | -0.0122152777777777 | 0.0213819444444452 | | 8 | 4.14 | 4.15028472222222 | 4.15 | 0.000284722222222822 | -0.0102847222222229 | | 9 | 4.14 | 4.16620138888889 | 4.17 | -0.00379861111111053 | -0.0262013888888886 | | 10 | 4.14 | 4.18120138888889 | 4.19125 | -0.0100486111111111 | -0.0412013888888874 | | 11 | 4.14 | 4.20103472222222 | 4.21333333333333 | -0.0122986111111115 | -0.0610347222222218 | | 12 | 4.23 | 4.21103472222222 | 4.23375 | -0.0227152777777785 | 0.01896527777778 | | 13 | 4.29 | 4.23645138888889 | 4.25208333333333 | -0.0156319444444448 | 0.0535486111111121 | | 14 | 4.32 | 4.29886805555556 | 4.27 | 0.0288680555555559 | 0.0211319444444449 | | 15 | 4.33 | 4.31903472222222 | 4.28833333333333 | 0.0307013888888886 | 0.0109652777777782 | | 16 | 4.35 | 4.32570138888889 | 4.3075 | 0.0182013888888886 | 0.0242986111111119 | | 17 | 4.35 | 4.33178472222222 | 4.32833333333333 | 0.00345138888888910 | 0.0182152777777782 | | 18 | 4.35 | 4.34145138888889 | 4.34625 | -0.00479861111111104 | 0.00854861111111127 | | 19 | 4.35 | 4.34570138888889 | 4.35791666666667 | -0.0122152777777777 | 0.0042986111111114 | | 20 | 4.36 | 4.36736805555556 | 4.36708333333333 | 0.000284722222222822 | -0.00736805555555531 | | 21 | 4.36 | 4.37245138888889 | 4.37625 | -0.00379861111111053 | -0.0124513888888886 | | 22 | 4.38 | 4.37536805555555 | 4.38541666666667 | -0.0100486111111111 | 0.00463194444444515 | | 23 | 4.4 | 4.38270138888889 | 4.395 | -0.0122986111111115 | 0.0172986111111122 | | 24 | 4.4 | 4.38311805555556 | 4.40583333333333 | -0.0227152777777785 | 0.0168819444444450 | | 25 | 4.4 | 4.40186805555556 | 4.4175 | -0.0156319444444448 | -0.00186805555555480 | | 26 | 4.43 | 4.46095138888889 | 4.43208333333333 | 0.0288680555555559 | -0.0309513888888890 | | 27 | 4.44 | 4.48236805555556 | 4.45166666666667 | 0.0307013888888886 | -0.0423680555555555 | | 28 | 4.46 | 4.49153472222222 | 4.47333333333333 | 0.0182013888888886 | -0.0315347222222222 | | 29 | 4.47 | 4.49845138888889 | 4.495 | 0.00345138888888910 | -0.0284513888888895 | | 30 | 4.49 | 4.51228472222222 | 4.51708333333333 | -0.00479861111111104 | -0.0222847222222224 | | 31 | 4.49 | 4.52778472222222 | 4.54 | -0.0122152777777777 | -0.0377847222222218 | | 32 | 4.57 | 4.56403472222222 | 4.56375 | 0.000284722222222822 | 0.00596527777777744 | | 33 | 4.62 | 4.58453472222222 | 4.58833333333333 | -0.00379861111111053 | 0.035465277777778 | | 34 | 4.64 | 4.60286805555555 | 4.61291666666667 | -0.0100486111111111 | 0.0371319444444449 | | 35 | 4.66 | 4.62478472222222 | 4.63708333333333 | -0.0122986111111115 | 0.0352152777777786 | | 36 | 4.67 | 4.63811805555556 | 4.66083333333333 | -0.0227152777777785 | 0.0318819444444447 | | 37 | 4.68 | 4.66811805555556 | 4.68375 | -0.0156319444444448 | 0.0118819444444442 | | 38 | 4.72 | 4.73220138888889 | 4.70333333333333 | 0.0288680555555559 | -0.0122013888888883 | | 39 | 4.74 | 4.74861805555556 | 4.71791666666667 | 0.0307013888888886 | -0.00861805555555506 | | 40 | 4.75 | 4.74820138888889 | 4.73 | 0.0182013888888886 | 0.00179861111111101 | | 41 | 4.76 | 4.74553472222222 | 4.74208333333333 | 0.00345138888888910 | 0.0144652777777781 | | 42 | 4.77 | 4.74936805555555 | 4.75416666666667 | -0.00479861111111104 | 0.0206319444444452 | | 43 | 4.76 | 4.75486805555555 | 4.76708333333333 | -0.0122152777777777 | 0.00513194444444487 | | 44 | 4.77 | 4.78278472222222 | 4.7825 | 0.000284722222222822 | -0.0127847222222233 | | 45 | 4.77 | 4.79620138888889 | 4.8 | -0.00379861111111053 | -0.0262013888888886 | | 46 | 4.78 | 4.80745138888889 | 4.8175 | -0.0100486111111111 | -0.0274513888888883 | | 47 | 4.81 | 4.82186805555556 | 4.83416666666667 | -0.0122986111111115 | -0.0118680555555555 | | 48 | 4.81 | 4.82811805555556 | 4.85083333333333 | -0.0227152777777785 | -0.018118055555556 | | 49 | 4.85 | 4.85353472222222 | 4.86916666666667 | -0.0156319444444448 | -0.00353472222222173 | | 50 | 4.92 | 4.91761805555556 | 4.88875 | 0.0288680555555559 | 0.00238194444444417 | | 51 | 4.96 | 4.93903472222222 | 4.90833333333333 | 0.0307013888888886 | 0.020965277777778 | | 52 | 4.95 | 4.94611805555556 | 4.92791666666667 | 0.0182013888888886 | 0.00388194444444512 | | 53 | 4.96 | 4.94970138888889 | 4.94625 | 0.00345138888888910 | 0.0102986111111116 | | 54 | 4.97 | 4.95978472222222 | 4.96458333333333 | -0.00479861111111104 | 0.0102152777777773 | | 55 | 5 | 4.96986805555556 | 4.98208333333333 | -0.0122152777777777 | 0.0301319444444443 | | 56 | 5 | 5.00153472222222 | 5.00125 | 0.000284722222222822 | -0.00153472222222195 | | 57 | 5.01 | 5.01953472222222 | 5.02333333333333 | -0.00379861111111053 | -0.00953472222222196 | | 58 | 5.01 | 5.03536805555555 | 5.04541666666667 | -0.0100486111111111 | -0.0253680555555551 | | 59 | 5.02 | 5.05520138888889 | 5.0675 | -0.0122986111111115 | -0.0352013888888898 | | 60 | 5.04 | 5.06686805555556 | 5.08958333333333 | -0.0227152777777785 | -0.0268680555555552 | | 61 | 5.04 | 5.09686805555556 | 5.1125 | -0.0156319444444448 | -0.0568680555555563 | | 62 | 5.19 | 5.16720138888889 | 5.13833333333333 | 0.0288680555555559 | 0.0227986111111118 | | 63 | 5.22 | 5.19778472222222 | 5.16708333333333 | 0.0307013888888886 | 0.0222152777777769 | | 64 | 5.22 | 5.21528472222222 | 5.19708333333333 | 0.0182013888888886 | 0.00471527777777769 | | 65 | 5.22 | 5.23136805555556 | 5.22791666666667 | 0.00345138888888910 | -0.0113680555555558 | | 66 | 5.24 | 5.25395138888889 | 5.25875 | -0.00479861111111104 | -0.0139513888888878 | | 67 | 5.28 | 5.27861805555555 | 5.29083333333333 | -0.0122152777777777 | 0.00138194444444562 | | 68 | 5.34 | 5.32111805555556 | 5.32083333333333 | 0.000284722222222822 | 0.0188819444444448 | | 69 | 5.36 | 5.34411805555555 | 5.34791666666667 | -0.00379861111111053 | 0.0158819444444456 | | 70 | 5.38 | 5.36578472222222 | 5.37583333333333 | -0.0100486111111111 | 0.0142152777777778 | | 71 | 5.39 | 5.39228472222222 | 5.40458333333333 | -0.0122986111111115 | -0.00228472222222287 | | 72 | 5.41 | 5.41061805555556 | 5.43333333333333 | -0.0227152777777785 | -0.000618055555555941 | | 73 | 5.44 | 5.44436805555556 | 5.46 | -0.0156319444444448 | -0.00436805555555519 | | 74 | 5.51 | 5.51178472222222 | 5.48291666666667 | 0.0288680555555559 | -0.00178472222222137 | | 75 | 5.55 | 5.53445138888889 | 5.50375 | 0.0307013888888886 | 0.0155486111111109 | | 76 | 5.56 | 5.54278472222222 | 5.52458333333333 | 0.0182013888888886 | 0.0172152777777770 | | 77 | 5.57 | 5.54886805555556 | 5.54541666666667 | 0.00345138888888910 | 0.021131944444444 | | 78 | 5.58 | 5.56061805555556 | 5.56541666666667 | -0.00479861111111104 | 0.0193819444444445 | | 79 | 5.58 | NA | NA | -0.0122152777777777 | NA | | 80 | 5.59 | NA | NA | 0.000284722222222822 | NA | | 81 | 5.61 | NA | NA | -0.00379861111111053 | NA | | 82 | 5.63 | NA | NA | -0.0100486111111111 | NA | | 83 | 5.64 | NA | NA | -0.0122986111111115 | NA | | 84 | 5.64 | NA | NA | -0.0227152777777785 | NA |
| | | Charts produced by software: |  | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/1f5in1211395773.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/1f5in1211395773.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/2x9g91211395773.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/2x9g91211395773.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/3yv1x1211395773.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/3yv1x1211395773.ps (open in new window) |
 | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/43nfa1211395773.png (open in new window) | | http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/May/21/t1211395945ekcnv4uybc6aubh/43nfa1211395773.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')
| | |
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