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Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationTue, 15 Jan 2013 12:38:44 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/15/t13582715477tc0ccnozojpvah.htm/, Retrieved Sat, 27 Apr 2024 21:18:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205496, Retrieved Sat, 27 Apr 2024 21:18:08 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [] [2013-01-15 17:38:44] [7d095200a4be23015976b6928166d958] [Current]
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Dataseries X:
1103
1125
1150
1187
1248
1172
1092
5255
5297
5461
5729
5795
5411
5503
5583
5763
5840
5907
5836
5756
5916
6056
6469
6603
6247
6342
6431




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205496&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205496&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205496&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11103NANA-280.934027777778NA
21125NANA-407.475694444444NA
31150NANA-374.142361111111NA
41187NANA-244.725694444446NA
51248NANA-223.350694444445NA
61172NANA-220.850694444444NA
710921802.190972222223147.33333333333-1345.14236111111-710.190972222222
852553989.753472222223509.25480.5034722222221265.24652777778
952974239.170138888893876.375362.7951388888891057.82986111111
1054615186.399305555554251.75934.649305555556274.600694444444
1157295454.399305555554633.75820.649305555555274.600694444445
1257955520.399305555565022.375498.024305555555274.600694444444
1354115136.399305555565417.33333333333-280.934027777778274.600694444444
1455035228.399305555565635.875-407.475694444444274.600694444444
1555835308.399305555565682.54166666667-374.142361111111274.600694444444
1657635488.399305555565733.125-244.725694444446274.600694444444
1758405565.399305555565788.75-223.350694444445274.600694444444
1859075632.399305555565853.25-220.850694444444274.600694444444
1958364576.607638888895921.75-1345.142361111111259.39236111111
2057566472.045138888895991.54166666667480.503472222222-716.045138888889
2159166424.628472222226061.83333333333362.795138888889-508.628472222222
226056NANA934.649305555556NA
236469NANA820.649305555555NA
246603NANA498.024305555555NA
256247NANA-280.934027777778NA
266342NANA-407.475694444444NA
276431NANA-374.142361111111NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 1103 & NA & NA & -280.934027777778 & NA \tabularnewline
2 & 1125 & NA & NA & -407.475694444444 & NA \tabularnewline
3 & 1150 & NA & NA & -374.142361111111 & NA \tabularnewline
4 & 1187 & NA & NA & -244.725694444446 & NA \tabularnewline
5 & 1248 & NA & NA & -223.350694444445 & NA \tabularnewline
6 & 1172 & NA & NA & -220.850694444444 & NA \tabularnewline
7 & 1092 & 1802.19097222222 & 3147.33333333333 & -1345.14236111111 & -710.190972222222 \tabularnewline
8 & 5255 & 3989.75347222222 & 3509.25 & 480.503472222222 & 1265.24652777778 \tabularnewline
9 & 5297 & 4239.17013888889 & 3876.375 & 362.795138888889 & 1057.82986111111 \tabularnewline
10 & 5461 & 5186.39930555555 & 4251.75 & 934.649305555556 & 274.600694444444 \tabularnewline
11 & 5729 & 5454.39930555555 & 4633.75 & 820.649305555555 & 274.600694444445 \tabularnewline
12 & 5795 & 5520.39930555556 & 5022.375 & 498.024305555555 & 274.600694444444 \tabularnewline
13 & 5411 & 5136.39930555556 & 5417.33333333333 & -280.934027777778 & 274.600694444444 \tabularnewline
14 & 5503 & 5228.39930555556 & 5635.875 & -407.475694444444 & 274.600694444444 \tabularnewline
15 & 5583 & 5308.39930555556 & 5682.54166666667 & -374.142361111111 & 274.600694444444 \tabularnewline
16 & 5763 & 5488.39930555556 & 5733.125 & -244.725694444446 & 274.600694444444 \tabularnewline
17 & 5840 & 5565.39930555556 & 5788.75 & -223.350694444445 & 274.600694444444 \tabularnewline
18 & 5907 & 5632.39930555556 & 5853.25 & -220.850694444444 & 274.600694444444 \tabularnewline
19 & 5836 & 4576.60763888889 & 5921.75 & -1345.14236111111 & 1259.39236111111 \tabularnewline
20 & 5756 & 6472.04513888889 & 5991.54166666667 & 480.503472222222 & -716.045138888889 \tabularnewline
21 & 5916 & 6424.62847222222 & 6061.83333333333 & 362.795138888889 & -508.628472222222 \tabularnewline
22 & 6056 & NA & NA & 934.649305555556 & NA \tabularnewline
23 & 6469 & NA & NA & 820.649305555555 & NA \tabularnewline
24 & 6603 & NA & NA & 498.024305555555 & NA \tabularnewline
25 & 6247 & NA & NA & -280.934027777778 & NA \tabularnewline
26 & 6342 & NA & NA & -407.475694444444 & NA \tabularnewline
27 & 6431 & NA & NA & -374.142361111111 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205496&T=1

[TABLE]
[ROW][C]Classical Decomposition by Moving Averages[/C][/ROW]
[ROW][C]t[/C][C]Observations[/C][C]Fit[/C][C]Trend[/C][C]Seasonal[/C][C]Random[/C][/ROW]
[ROW][C]1[/C][C]1103[/C][C]NA[/C][C]NA[/C][C]-280.934027777778[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]1125[/C][C]NA[/C][C]NA[/C][C]-407.475694444444[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]1150[/C][C]NA[/C][C]NA[/C][C]-374.142361111111[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]1187[/C][C]NA[/C][C]NA[/C][C]-244.725694444446[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]1248[/C][C]NA[/C][C]NA[/C][C]-223.350694444445[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]1172[/C][C]NA[/C][C]NA[/C][C]-220.850694444444[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]1092[/C][C]1802.19097222222[/C][C]3147.33333333333[/C][C]-1345.14236111111[/C][C]-710.190972222222[/C][/ROW]
[ROW][C]8[/C][C]5255[/C][C]3989.75347222222[/C][C]3509.25[/C][C]480.503472222222[/C][C]1265.24652777778[/C][/ROW]
[ROW][C]9[/C][C]5297[/C][C]4239.17013888889[/C][C]3876.375[/C][C]362.795138888889[/C][C]1057.82986111111[/C][/ROW]
[ROW][C]10[/C][C]5461[/C][C]5186.39930555555[/C][C]4251.75[/C][C]934.649305555556[/C][C]274.600694444444[/C][/ROW]
[ROW][C]11[/C][C]5729[/C][C]5454.39930555555[/C][C]4633.75[/C][C]820.649305555555[/C][C]274.600694444445[/C][/ROW]
[ROW][C]12[/C][C]5795[/C][C]5520.39930555556[/C][C]5022.375[/C][C]498.024305555555[/C][C]274.600694444444[/C][/ROW]
[ROW][C]13[/C][C]5411[/C][C]5136.39930555556[/C][C]5417.33333333333[/C][C]-280.934027777778[/C][C]274.600694444444[/C][/ROW]
[ROW][C]14[/C][C]5503[/C][C]5228.39930555556[/C][C]5635.875[/C][C]-407.475694444444[/C][C]274.600694444444[/C][/ROW]
[ROW][C]15[/C][C]5583[/C][C]5308.39930555556[/C][C]5682.54166666667[/C][C]-374.142361111111[/C][C]274.600694444444[/C][/ROW]
[ROW][C]16[/C][C]5763[/C][C]5488.39930555556[/C][C]5733.125[/C][C]-244.725694444446[/C][C]274.600694444444[/C][/ROW]
[ROW][C]17[/C][C]5840[/C][C]5565.39930555556[/C][C]5788.75[/C][C]-223.350694444445[/C][C]274.600694444444[/C][/ROW]
[ROW][C]18[/C][C]5907[/C][C]5632.39930555556[/C][C]5853.25[/C][C]-220.850694444444[/C][C]274.600694444444[/C][/ROW]
[ROW][C]19[/C][C]5836[/C][C]4576.60763888889[/C][C]5921.75[/C][C]-1345.14236111111[/C][C]1259.39236111111[/C][/ROW]
[ROW][C]20[/C][C]5756[/C][C]6472.04513888889[/C][C]5991.54166666667[/C][C]480.503472222222[/C][C]-716.045138888889[/C][/ROW]
[ROW][C]21[/C][C]5916[/C][C]6424.62847222222[/C][C]6061.83333333333[/C][C]362.795138888889[/C][C]-508.628472222222[/C][/ROW]
[ROW][C]22[/C][C]6056[/C][C]NA[/C][C]NA[/C][C]934.649305555556[/C][C]NA[/C][/ROW]
[ROW][C]23[/C][C]6469[/C][C]NA[/C][C]NA[/C][C]820.649305555555[/C][C]NA[/C][/ROW]
[ROW][C]24[/C][C]6603[/C][C]NA[/C][C]NA[/C][C]498.024305555555[/C][C]NA[/C][/ROW]
[ROW][C]25[/C][C]6247[/C][C]NA[/C][C]NA[/C][C]-280.934027777778[/C][C]NA[/C][/ROW]
[ROW][C]26[/C][C]6342[/C][C]NA[/C][C]NA[/C][C]-407.475694444444[/C][C]NA[/C][/ROW]
[ROW][C]27[/C][C]6431[/C][C]NA[/C][C]NA[/C][C]-374.142361111111[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205496&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205496&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
11103NANA-280.934027777778NA
21125NANA-407.475694444444NA
31150NANA-374.142361111111NA
41187NANA-244.725694444446NA
51248NANA-223.350694444445NA
61172NANA-220.850694444444NA
710921802.190972222223147.33333333333-1345.14236111111-710.190972222222
852553989.753472222223509.25480.5034722222221265.24652777778
952974239.170138888893876.375362.7951388888891057.82986111111
1054615186.399305555554251.75934.649305555556274.600694444444
1157295454.399305555554633.75820.649305555555274.600694444445
1257955520.399305555565022.375498.024305555555274.600694444444
1354115136.399305555565417.33333333333-280.934027777778274.600694444444
1455035228.399305555565635.875-407.475694444444274.600694444444
1555835308.399305555565682.54166666667-374.142361111111274.600694444444
1657635488.399305555565733.125-244.725694444446274.600694444444
1758405565.399305555565788.75-223.350694444445274.600694444444
1859075632.399305555565853.25-220.850694444444274.600694444444
1958364576.607638888895921.75-1345.142361111111259.39236111111
2057566472.045138888895991.54166666667480.503472222222-716.045138888889
2159166424.628472222226061.83333333333362.795138888889-508.628472222222
226056NANA934.649305555556NA
236469NANA820.649305555555NA
246603NANA498.024305555555NA
256247NANA-280.934027777778NA
266342NANA-407.475694444444NA
276431NANA-374.142361111111NA



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')