| lynn.pelgrims@student.kdg.be | | *Unverified author* | | R Software Module: /rwasp_decompose.wasp (opens new window with default values) | | Title produced by software: Classical Decomposition | | Date of computation: Mon, 16 May 2011 20:53:53 +0000 | | | | Cite this page as follows: | | Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x.htm/, Retrieved Mon, 16 May 2011 22:51:12 +0200 | | | | Original text written by user: | | | | | IsPrivate? | | No (this computation is public) | | | | User-defined keywords: | | KDGP2W92 | | | | Dataseries X: | | » Textbox « » Textfile « » CSV « | | 2851
2672
2755
2721
2946
3036
2282
2212
2922
4301
5764
7132
2541
2475
3031
3266
3776
3230
3028
1759
3595
4474
6838
8357
3113
3006
4047
3523
3937
3986
3260
1573
3528
5211
7614
9254
5375
3088
3718
4514
4520
4539
3663
1643
4734
5428
8314
10651
3633
4292
4154
4121
4647
4753
3965
1723
5048
6923
9858
11331
4016
3957
4510
4276
4968
4677
3523
1821
5222
6872
10803
13916
2639
2899
3370
3740
2927
3986
4217
1738
5221
6424
9842
13076
3934
3162
4286
4676
5010
4874
4633
1659
5951
6981
9851
12670 | | | | Output produced by software: |
| Classical Decomposition by Moving Averages | | t | Observations | Fit | Trend | Seasonal | Random | | 1 | 2851 | NA | NA | -1190.16517857143 | NA | | 2 | 2672 | NA | NA | -1539.72470238095 | NA | | 3 | 2755 | NA | NA | -949.177083333333 | NA | | 4 | 2721 | NA | NA | -840.302083333333 | NA | | 5 | 2946 | NA | NA | -642.153273809524 | NA | | 6 | 3036 | NA | NA | -662.302083333334 | NA | | 7 | 2282 | 2189.73958333333 | 3453.25 | -1263.51041666667 | 92.2604166666674 | | 8 | 2212 | 520.822916666667 | 3432.125 | -2911.30208333333 | 1691.17708333333 | | 9 | 2922 | 3055.08482142857 | 3435.41666666667 | -380.331845238095 | -133.084821428571 | | 10 | 4301 | 4406.11458333333 | 3469.625 | 936.489583333333 | -105.114583333333 | | 11 | 5764 | 7210.91220238095 | 3526.91666666667 | 3683.99553571429 | -1446.91220238095 | | 12 | 7132 | 9328.06696428571 | 3569.58333333333 | 5758.48363095238 | -2196.06696428571 | | 13 | 2541 | 2418.58482142857 | 3608.75 | -1190.16517857143 | 122.415178571428 | | 14 | 2475 | 2081.23363095238 | 3620.95833333333 | -1539.72470238095 | 393.766369047619 | | 15 | 3031 | 2680.94791666667 | 3630.125 | -949.177083333333 | 350.052083333334 | | 16 | 3266 | 2825.07291666667 | 3665.375 | -840.302083333333 | 440.927083333334 | | 17 | 3776 | 3075.18005952381 | 3717.33333333333 | -642.153273809524 | 700.819940476191 | | 18 | 3230 | 3150.82291666667 | 3813.125 | -662.302083333334 | 79.1770833333344 | | 19 | 3028 | 2624.48958333333 | 3888 | -1263.51041666667 | 403.510416666667 | | 20 | 1759 | 1022.65625 | 3933.95833333333 | -2911.30208333333 | 736.343750000001 | | 21 | 3595 | 3618.08482142857 | 3998.41666666667 | -380.331845238095 | -23.0848214285711 | | 22 | 4474 | 4987.94791666667 | 4051.45833333333 | 936.489583333333 | -513.947916666667 | | 23 | 6838 | 7752.87053571429 | 4068.875 | 3683.99553571429 | -914.870535714286 | | 24 | 8357 | 9865.56696428571 | 4107.08333333333 | 5758.48363095238 | -1508.56696428571 | | 25 | 3113 | 2958.08482142857 | 4148.25 | -1190.16517857143 | 154.915178571428 | | 26 | 3006 | 2610.44196428571 | 4150.16666666667 | -1539.72470238095 | 395.558035714285 | | 27 | 4047 | 3190.44791666667 | 4139.625 | -949.177083333333 | 856.552083333334 | | 28 | 3523 | 3327.23958333333 | 4167.54166666667 | -840.302083333333 | 195.760416666667 | | 29 | 3937 | 3588.43005952381 | 4230.58333333333 | -642.153273809524 | 348.569940476191 | | 30 | 3986 | 3637.98958333333 | 4300.29166666667 | -662.302083333334 | 348.010416666668 | | 31 | 3260 | 3168.40625 | 4431.91666666667 | -1263.51041666667 | 91.59375 | | 32 | 1573 | 1618.28125 | 4529.58333333333 | -2911.30208333333 | -45.28125 | | 33 | 3528 | 4138.95982142857 | 4519.29166666667 | -380.331845238095 | -610.959821428571 | | 34 | 5211 | 5483.36458333333 | 4546.875 | 936.489583333333 | -272.364583333333 | | 35 | 7614 | 8296.45386904762 | 4612.45833333333 | 3683.99553571429 | -682.45386904762 | | 36 | 9254 | 10418.275297619 | 4659.79166666667 | 5758.48363095238 | -1164.27529761905 | | 37 | 5375 | 3509.45982142857 | 4699.625 | -1190.16517857143 | 1865.54017857143 | | 38 | 3088 | 3179.60863095238 | 4719.33333333333 | -1539.72470238095 | -91.6086309523807 | | 39 | 3718 | 3823.32291666667 | 4772.5 | -949.177083333333 | -105.322916666667 | | 40 | 4514 | 3991.48958333333 | 4831.79166666667 | -840.302083333333 | 522.510416666667 | | 41 | 4520 | 4227.84672619048 | 4870 | -642.153273809524 | 292.153273809524 | | 42 | 4539 | 4295.07291666667 | 4957.375 | -662.302083333334 | 243.927083333334 | | 43 | 3663 | 3679.48958333333 | 4943 | -1263.51041666667 | -16.4895833333321 | | 44 | 1643 | 2009.28125 | 4920.58333333333 | -2911.30208333333 | -366.28125 | | 45 | 4734 | 4608.58482142857 | 4988.91666666667 | -380.331845238095 | 125.415178571428 | | 46 | 5428 | 5927.19791666667 | 4990.70833333333 | 936.489583333333 | -499.197916666666 | | 47 | 8314 | 8663.62053571428 | 4979.625 | 3683.99553571429 | -349.620535714285 | | 48 | 10651 | 10752.3169642857 | 4993.83333333333 | 5758.48363095238 | -101.316964285714 | | 49 | 3633 | 3825.1681547619 | 5015.33333333333 | -1190.16517857143 | -192.168154761905 | | 50 | 4292 | 3491.52529761905 | 5031.25 | -1539.72470238095 | 800.474702380954 | | 51 | 4154 | 4098.48958333333 | 5047.66666666667 | -949.177083333333 | 55.5104166666679 | | 52 | 4121 | 4282.73958333333 | 5123.04166666667 | -840.302083333333 | -161.739583333333 | | 53 | 4647 | 4607.51339285714 | 5249.66666666667 | -642.153273809524 | 39.4866071428578 | | 54 | 4753 | 4680.03125 | 5342.33333333333 | -662.302083333334 | 72.96875 | | 55 | 3965 | 4123.11458333333 | 5386.625 | -1263.51041666667 | -158.114583333334 | | 56 | 1723 | 2477.32291666667 | 5388.625 | -2911.30208333333 | -754.322916666666 | | 57 | 5048 | 5009.1681547619 | 5389.5 | -380.331845238095 | 38.8318452380963 | | 58 | 6923 | 6347.28125 | 5410.79166666667 | 936.489583333333 | 575.718750000001 | | 59 | 9858 | 9114.62053571428 | 5430.625 | 3683.99553571429 | 743.379464285715 | | 60 | 11331 | 11199.3169642857 | 5440.83333333333 | 5758.48363095238 | 131.683035714285 | | 61 | 4016 | 4229.08482142857 | 5419.25 | -1190.16517857143 | -213.084821428572 | | 62 | 3957 | 3865.19196428571 | 5404.91666666667 | -1539.72470238095 | 91.8080357142853 | | 63 | 4510 | 4467.07291666667 | 5416.25 | -949.177083333333 | 42.927083333333 | | 64 | 4276 | 4581.07291666667 | 5421.375 | -840.302083333333 | -305.072916666666 | | 65 | 4968 | 4816.47172619048 | 5458.625 | -642.153273809524 | 151.528273809524 | | 66 | 4677 | 4943.40625 | 5605.70833333333 | -662.302083333334 | -266.40625 | | 67 | 3523 | 4392.53125 | 5656.04166666667 | -1263.51041666667 | -869.531249999998 | | 68 | 1821 | 2643.28125 | 5554.58333333333 | -2911.30208333333 | -822.281249999998 | | 69 | 5222 | 5082.6681547619 | 5463 | -380.331845238095 | 139.331845238096 | | 70 | 6872 | 6329.65625 | 5393.16666666667 | 936.489583333333 | 542.343750000001 | | 71 | 10803 | 8969.78720238095 | 5285.79166666667 | 3683.99553571429 | 1833.21279761905 | | 72 | 13916 | 10930.4419642857 | 5171.95833333333 | 5758.48363095238 | 2985.55803571429 | | 73 | 2639 | 3981.91815476191 | 5172.08333333333 | -1190.16517857143 | -1342.91815476191 | | 74 | 2899 | 3657.81696428571 | 5197.54166666667 | -1539.72470238095 | -758.816964285714 | | 75 | 3370 | 4244.86458333333 | 5194.04166666667 | -949.177083333333 | -874.864583333333 | | 76 | 3740 | 4335.03125 | 5175.33333333333 | -840.302083333333 | -595.03125 | | 77 | 2927 | 4474.47172619048 | 5116.625 | -642.153273809524 | -1547.47172619048 | | 78 | 3986 | 4379.28125 | 5041.58333333333 | -662.302083333334 | -393.281249999999 | | 79 | 4217 | 3797.03125 | 5060.54166666667 | -1263.51041666667 | 419.968750000001 | | 80 | 1738 | 2214.15625 | 5125.45833333333 | -2911.30208333333 | -476.15625 | | 81 | 5221 | 4794.25148809524 | 5174.58333333333 | -380.331845238095 | 426.748511904761 | | 82 | 6424 | 6188.23958333333 | 5251.75 | 936.489583333333 | 235.760416666666 | | 83 | 9842 | 9061.53720238095 | 5377.54166666667 | 3683.99553571429 | 780.462797619048 | | 84 | 13076 | 11259.8169642857 | 5501.33333333333 | 5758.48363095238 | 1816.18303571429 | | 85 | 3934 | 4365.50148809524 | 5555.66666666667 | -1190.16517857143 | -431.501488095237 | | 86 | 3162 | 4029.98363095238 | 5569.70833333333 | -1539.72470238095 | -867.98363095238 | | 87 | 4286 | 4647.65625 | 5596.83333333333 | -949.177083333333 | -361.65625 | | 88 | 4676 | 4810.15625 | 5650.45833333333 | -840.302083333333 | -134.156250000001 | | 89 | 5010 | 5031.88839285714 | 5674.04166666667 | -642.153273809524 | -21.8883928571413 | | 90 | 4874 | 4995.19791666667 | 5657.5 | -662.302083333334 | -121.197916666666 | | 91 | 4633 | NA | NA | -1263.51041666667 | NA | | 92 | 1659 | NA | NA | -2911.30208333333 | NA | | 93 | 5951 | NA | NA | -380.331845238095 | NA | | 94 | 6981 | NA | NA | 936.489583333333 | NA | | 95 | 9851 | NA | NA | 3683.99553571429 | NA | | 96 | 12670 | NA | NA | 5758.48363095238 | NA |
| | | | Charts produced by software: |  | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/1pvtq1305579231.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/1pvtq1305579231.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/2vufp1305579231.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/2vufp1305579231.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/3spbl1305579231.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/3spbl1305579231.ps (open in new window) |
 | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/4micw1305579231.png (open in new window) | | http://www.freestatistics.org/blog/date/2011/May/16/t1305579067o3bf2b1cpz0ry8x/4micw1305579231.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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