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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_decompose.wasp
Title produced by softwareClassical Decomposition
Date of computationFri, 10 Apr 2015 13:02:36 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Apr/10/t1428667529mcgenc3mvj3bfi7.htm/, Retrieved Thu, 09 May 2024 16:08:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=278703, Retrieved Thu, 09 May 2024 16:08:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Classical Decomposition] [decomposition eig...] [2015-04-10 12:02:36] [b81b5adcb18a6dd731e9cb79a54989dd] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101,94
102,62
102,71
103,39
104,51
104,09
104,29
104,57
105,39
105,15
106,13
105,46
106,47
106,62
106,52
108,04
107,15
107,32
107,76
107,26
107,89
109,08
110,4
111,03
112,05
112,28
112,8
114,17
114,92
114,65
115,49
114,67
114,71
115,15
115,03
115,07
116,46
116,37
116,2
116,5
116,38
115,44
114,96
114,48
114,3
114,66
114,97
114,79
116,16
116,52
117,14
117,27
117,58
117,21
117,08
117,06
117,55
117,61
117,74
117,87
118,59
119,09
118,93
119,62
120,09
120,38
120,49
120,02
120,17
120,58
121,54
121,51
121,81
122,85
122,97
122,96
123,4
123,23
123,24
123,72
123,99
125,1
125,4
125,35
126,37
127,17
127,66
128,48
129,21
129,48
128,63
128,16
128,1
128,08
128,14
128,19

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278703&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278703&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278703&T=0

As an alternative you can also use a QR Code:  
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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1101.94NANA0.203919NA
2102.62NANA0.345764NA
3102.71NANA0.25874NA
4103.39NANA0.675645NA
5104.51NANA0.649573NA
6104.09NANA0.23755NA
7104.29104.269104.376-0.1072120.0209623
8104.57104.114104.732-0.6173310.455665
9105.39104.462105.057-0.5948310.927748
10105.15104.993105.41-0.4169740.157391
11106.13105.554105.713-0.1590580.575724
12105.46105.482105.958-0.475784-0.0221329
13106.47106.441106.2370.2039190.028998
14106.62106.84106.4940.345764-0.219514
15106.52106.969106.710.25874-0.44874
16108.04107.654106.9780.6756450.386438
17107.15107.969107.320.649573-0.819157
18107.32107.967107.730.23755-0.647133
19107.76108.087108.194-0.107212-0.326954
20107.26108.045108.662-0.617331-0.785169
21107.89108.565109.16-0.594831-0.675169
22109.08109.26109.677-0.416974-0.180109
23110.4110.097110.256-0.1590580.302808
24111.03110.41110.885-0.4757840.620367
25112.05111.717111.5130.2039190.333165
26112.28112.49112.1440.345764-0.209514
27112.8112.995112.7370.25874-0.195407
28114.17113.949113.2740.6756450.220605
29114.92114.369113.720.6495730.550843
30114.65114.318114.0810.237550.331617
31115.49114.326114.433-0.1072121.1643
32114.67114.17114.787-0.6173310.500248
33114.71114.504115.099-0.5948310.205665
34115.15114.921115.338-0.4169740.229058
35115.03115.337115.496-0.159058-0.306776
36115.07115.114115.59-0.475784-0.0437996
37116.46115.804115.60.2039190.655665
38116.37115.916115.570.3457640.453819
39116.2115.804115.5450.258740.395843
40116.5116.184115.5080.6756450.316438
41116.38116.135115.4850.6495730.245427
42115.44115.708115.4710.23755-0.268383
43114.96115.339115.447-0.107212-0.379454
44114.48114.823115.44-0.617331-0.343085
45114.3114.891115.486-0.594831-0.591002
46114.66115.14115.557-0.416974-0.480109
47114.97115.48115.639-0.159058-0.510109
48114.79115.287115.763-0.475784-0.497133
49116.16116.129115.9250.2039190.0310813
50116.52116.467116.1210.3457640.0534028
51117.14116.622116.3640.258740.51751
52117.27117.298116.6220.675645-0.0277282
53117.58117.51116.860.6495730.0700099
54117.21117.342117.1040.23755-0.131716
55117.08117.227117.334-0.107212-0.146538
56117.06116.925117.542-0.6173310.135248
57117.55117.129117.724-0.5948310.421081
58117.61117.479117.896-0.4169740.130724
59117.74117.94118.099-0.159058-0.199692
60117.87117.86118.335-0.4757840.0103671
61118.59118.814118.610.203919-0.223502
62119.09119.221118.8750.345764-0.130764
63118.93119.366119.1080.25874-0.43624
64119.62120.016119.340.675645-0.396062
65120.09120.272119.6220.649573-0.182073
66120.38120.17119.9320.237550.20995
67120.49120.111120.218-0.1072120.378879
68120.02119.892120.509-0.6173310.128165
69120.17120.239120.834-0.594831-0.0693353
70120.58120.725121.142-0.416974-0.144692
71121.54121.26121.419-0.1590580.280308
72121.51121.2121.675-0.4757840.310367
73121.81122.113121.9090.203919-0.302669
74122.85122.523122.1780.3457640.326736
75122.97122.75122.4910.258740.220427
76122.96123.514122.8380.675645-0.553978
77123.4123.837123.1880.649573-0.437073
78123.23123.746123.5080.23755-0.515883
79123.24123.751123.858-0.107212-0.511121
80123.72123.611124.228-0.6173310.108998
81123.99124.009124.604-0.594831-0.0189187
82125.1124.612125.029-0.4169740.487808
83125.4125.342125.501-0.1590580.0578075
84125.35125.528126.004-0.475784-0.177966
85126.37126.693126.4890.203919-0.322669
86127.17127.244126.8980.345764-0.0740972
87127.66127.513127.2550.258740.146677
88128.48128.226127.550.6756450.254355
89129.21128.438127.7880.6495730.772093
90129.48128.258128.0210.237551.22162
91128.63NANA-0.107212NA
92128.16NANA-0.617331NA
93128.1NANA-0.594831NA
94128.08NANA-0.416974NA
95128.14NANA-0.159058NA
96128.19NANA-0.475784NA

\begin{tabular}{lllllllll}
\hline
Classical Decomposition by Moving Averages \tabularnewline
t & Observations & Fit & Trend & Seasonal & Random \tabularnewline
1 & 101.94 & NA & NA & 0.203919 & NA \tabularnewline
2 & 102.62 & NA & NA & 0.345764 & NA \tabularnewline
3 & 102.71 & NA & NA & 0.25874 & NA \tabularnewline
4 & 103.39 & NA & NA & 0.675645 & NA \tabularnewline
5 & 104.51 & NA & NA & 0.649573 & NA \tabularnewline
6 & 104.09 & NA & NA & 0.23755 & NA \tabularnewline
7 & 104.29 & 104.269 & 104.376 & -0.107212 & 0.0209623 \tabularnewline
8 & 104.57 & 104.114 & 104.732 & -0.617331 & 0.455665 \tabularnewline
9 & 105.39 & 104.462 & 105.057 & -0.594831 & 0.927748 \tabularnewline
10 & 105.15 & 104.993 & 105.41 & -0.416974 & 0.157391 \tabularnewline
11 & 106.13 & 105.554 & 105.713 & -0.159058 & 0.575724 \tabularnewline
12 & 105.46 & 105.482 & 105.958 & -0.475784 & -0.0221329 \tabularnewline
13 & 106.47 & 106.441 & 106.237 & 0.203919 & 0.028998 \tabularnewline
14 & 106.62 & 106.84 & 106.494 & 0.345764 & -0.219514 \tabularnewline
15 & 106.52 & 106.969 & 106.71 & 0.25874 & -0.44874 \tabularnewline
16 & 108.04 & 107.654 & 106.978 & 0.675645 & 0.386438 \tabularnewline
17 & 107.15 & 107.969 & 107.32 & 0.649573 & -0.819157 \tabularnewline
18 & 107.32 & 107.967 & 107.73 & 0.23755 & -0.647133 \tabularnewline
19 & 107.76 & 108.087 & 108.194 & -0.107212 & -0.326954 \tabularnewline
20 & 107.26 & 108.045 & 108.662 & -0.617331 & -0.785169 \tabularnewline
21 & 107.89 & 108.565 & 109.16 & -0.594831 & -0.675169 \tabularnewline
22 & 109.08 & 109.26 & 109.677 & -0.416974 & -0.180109 \tabularnewline
23 & 110.4 & 110.097 & 110.256 & -0.159058 & 0.302808 \tabularnewline
24 & 111.03 & 110.41 & 110.885 & -0.475784 & 0.620367 \tabularnewline
25 & 112.05 & 111.717 & 111.513 & 0.203919 & 0.333165 \tabularnewline
26 & 112.28 & 112.49 & 112.144 & 0.345764 & -0.209514 \tabularnewline
27 & 112.8 & 112.995 & 112.737 & 0.25874 & -0.195407 \tabularnewline
28 & 114.17 & 113.949 & 113.274 & 0.675645 & 0.220605 \tabularnewline
29 & 114.92 & 114.369 & 113.72 & 0.649573 & 0.550843 \tabularnewline
30 & 114.65 & 114.318 & 114.081 & 0.23755 & 0.331617 \tabularnewline
31 & 115.49 & 114.326 & 114.433 & -0.107212 & 1.1643 \tabularnewline
32 & 114.67 & 114.17 & 114.787 & -0.617331 & 0.500248 \tabularnewline
33 & 114.71 & 114.504 & 115.099 & -0.594831 & 0.205665 \tabularnewline
34 & 115.15 & 114.921 & 115.338 & -0.416974 & 0.229058 \tabularnewline
35 & 115.03 & 115.337 & 115.496 & -0.159058 & -0.306776 \tabularnewline
36 & 115.07 & 115.114 & 115.59 & -0.475784 & -0.0437996 \tabularnewline
37 & 116.46 & 115.804 & 115.6 & 0.203919 & 0.655665 \tabularnewline
38 & 116.37 & 115.916 & 115.57 & 0.345764 & 0.453819 \tabularnewline
39 & 116.2 & 115.804 & 115.545 & 0.25874 & 0.395843 \tabularnewline
40 & 116.5 & 116.184 & 115.508 & 0.675645 & 0.316438 \tabularnewline
41 & 116.38 & 116.135 & 115.485 & 0.649573 & 0.245427 \tabularnewline
42 & 115.44 & 115.708 & 115.471 & 0.23755 & -0.268383 \tabularnewline
43 & 114.96 & 115.339 & 115.447 & -0.107212 & -0.379454 \tabularnewline
44 & 114.48 & 114.823 & 115.44 & -0.617331 & -0.343085 \tabularnewline
45 & 114.3 & 114.891 & 115.486 & -0.594831 & -0.591002 \tabularnewline
46 & 114.66 & 115.14 & 115.557 & -0.416974 & -0.480109 \tabularnewline
47 & 114.97 & 115.48 & 115.639 & -0.159058 & -0.510109 \tabularnewline
48 & 114.79 & 115.287 & 115.763 & -0.475784 & -0.497133 \tabularnewline
49 & 116.16 & 116.129 & 115.925 & 0.203919 & 0.0310813 \tabularnewline
50 & 116.52 & 116.467 & 116.121 & 0.345764 & 0.0534028 \tabularnewline
51 & 117.14 & 116.622 & 116.364 & 0.25874 & 0.51751 \tabularnewline
52 & 117.27 & 117.298 & 116.622 & 0.675645 & -0.0277282 \tabularnewline
53 & 117.58 & 117.51 & 116.86 & 0.649573 & 0.0700099 \tabularnewline
54 & 117.21 & 117.342 & 117.104 & 0.23755 & -0.131716 \tabularnewline
55 & 117.08 & 117.227 & 117.334 & -0.107212 & -0.146538 \tabularnewline
56 & 117.06 & 116.925 & 117.542 & -0.617331 & 0.135248 \tabularnewline
57 & 117.55 & 117.129 & 117.724 & -0.594831 & 0.421081 \tabularnewline
58 & 117.61 & 117.479 & 117.896 & -0.416974 & 0.130724 \tabularnewline
59 & 117.74 & 117.94 & 118.099 & -0.159058 & -0.199692 \tabularnewline
60 & 117.87 & 117.86 & 118.335 & -0.475784 & 0.0103671 \tabularnewline
61 & 118.59 & 118.814 & 118.61 & 0.203919 & -0.223502 \tabularnewline
62 & 119.09 & 119.221 & 118.875 & 0.345764 & -0.130764 \tabularnewline
63 & 118.93 & 119.366 & 119.108 & 0.25874 & -0.43624 \tabularnewline
64 & 119.62 & 120.016 & 119.34 & 0.675645 & -0.396062 \tabularnewline
65 & 120.09 & 120.272 & 119.622 & 0.649573 & -0.182073 \tabularnewline
66 & 120.38 & 120.17 & 119.932 & 0.23755 & 0.20995 \tabularnewline
67 & 120.49 & 120.111 & 120.218 & -0.107212 & 0.378879 \tabularnewline
68 & 120.02 & 119.892 & 120.509 & -0.617331 & 0.128165 \tabularnewline
69 & 120.17 & 120.239 & 120.834 & -0.594831 & -0.0693353 \tabularnewline
70 & 120.58 & 120.725 & 121.142 & -0.416974 & -0.144692 \tabularnewline
71 & 121.54 & 121.26 & 121.419 & -0.159058 & 0.280308 \tabularnewline
72 & 121.51 & 121.2 & 121.675 & -0.475784 & 0.310367 \tabularnewline
73 & 121.81 & 122.113 & 121.909 & 0.203919 & -0.302669 \tabularnewline
74 & 122.85 & 122.523 & 122.178 & 0.345764 & 0.326736 \tabularnewline
75 & 122.97 & 122.75 & 122.491 & 0.25874 & 0.220427 \tabularnewline
76 & 122.96 & 123.514 & 122.838 & 0.675645 & -0.553978 \tabularnewline
77 & 123.4 & 123.837 & 123.188 & 0.649573 & -0.437073 \tabularnewline
78 & 123.23 & 123.746 & 123.508 & 0.23755 & -0.515883 \tabularnewline
79 & 123.24 & 123.751 & 123.858 & -0.107212 & -0.511121 \tabularnewline
80 & 123.72 & 123.611 & 124.228 & -0.617331 & 0.108998 \tabularnewline
81 & 123.99 & 124.009 & 124.604 & -0.594831 & -0.0189187 \tabularnewline
82 & 125.1 & 124.612 & 125.029 & -0.416974 & 0.487808 \tabularnewline
83 & 125.4 & 125.342 & 125.501 & -0.159058 & 0.0578075 \tabularnewline
84 & 125.35 & 125.528 & 126.004 & -0.475784 & -0.177966 \tabularnewline
85 & 126.37 & 126.693 & 126.489 & 0.203919 & -0.322669 \tabularnewline
86 & 127.17 & 127.244 & 126.898 & 0.345764 & -0.0740972 \tabularnewline
87 & 127.66 & 127.513 & 127.255 & 0.25874 & 0.146677 \tabularnewline
88 & 128.48 & 128.226 & 127.55 & 0.675645 & 0.254355 \tabularnewline
89 & 129.21 & 128.438 & 127.788 & 0.649573 & 0.772093 \tabularnewline
90 & 129.48 & 128.258 & 128.021 & 0.23755 & 1.22162 \tabularnewline
91 & 128.63 & NA & NA & -0.107212 & NA \tabularnewline
92 & 128.16 & NA & NA & -0.617331 & NA \tabularnewline
93 & 128.1 & NA & NA & -0.594831 & NA \tabularnewline
94 & 128.08 & NA & NA & -0.416974 & NA \tabularnewline
95 & 128.14 & NA & NA & -0.159058 & NA \tabularnewline
96 & 128.19 & NA & NA & -0.475784 & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=278703&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]101.94[/C][C]NA[/C][C]NA[/C][C]0.203919[/C][C]NA[/C][/ROW]
[ROW][C]2[/C][C]102.62[/C][C]NA[/C][C]NA[/C][C]0.345764[/C][C]NA[/C][/ROW]
[ROW][C]3[/C][C]102.71[/C][C]NA[/C][C]NA[/C][C]0.25874[/C][C]NA[/C][/ROW]
[ROW][C]4[/C][C]103.39[/C][C]NA[/C][C]NA[/C][C]0.675645[/C][C]NA[/C][/ROW]
[ROW][C]5[/C][C]104.51[/C][C]NA[/C][C]NA[/C][C]0.649573[/C][C]NA[/C][/ROW]
[ROW][C]6[/C][C]104.09[/C][C]NA[/C][C]NA[/C][C]0.23755[/C][C]NA[/C][/ROW]
[ROW][C]7[/C][C]104.29[/C][C]104.269[/C][C]104.376[/C][C]-0.107212[/C][C]0.0209623[/C][/ROW]
[ROW][C]8[/C][C]104.57[/C][C]104.114[/C][C]104.732[/C][C]-0.617331[/C][C]0.455665[/C][/ROW]
[ROW][C]9[/C][C]105.39[/C][C]104.462[/C][C]105.057[/C][C]-0.594831[/C][C]0.927748[/C][/ROW]
[ROW][C]10[/C][C]105.15[/C][C]104.993[/C][C]105.41[/C][C]-0.416974[/C][C]0.157391[/C][/ROW]
[ROW][C]11[/C][C]106.13[/C][C]105.554[/C][C]105.713[/C][C]-0.159058[/C][C]0.575724[/C][/ROW]
[ROW][C]12[/C][C]105.46[/C][C]105.482[/C][C]105.958[/C][C]-0.475784[/C][C]-0.0221329[/C][/ROW]
[ROW][C]13[/C][C]106.47[/C][C]106.441[/C][C]106.237[/C][C]0.203919[/C][C]0.028998[/C][/ROW]
[ROW][C]14[/C][C]106.62[/C][C]106.84[/C][C]106.494[/C][C]0.345764[/C][C]-0.219514[/C][/ROW]
[ROW][C]15[/C][C]106.52[/C][C]106.969[/C][C]106.71[/C][C]0.25874[/C][C]-0.44874[/C][/ROW]
[ROW][C]16[/C][C]108.04[/C][C]107.654[/C][C]106.978[/C][C]0.675645[/C][C]0.386438[/C][/ROW]
[ROW][C]17[/C][C]107.15[/C][C]107.969[/C][C]107.32[/C][C]0.649573[/C][C]-0.819157[/C][/ROW]
[ROW][C]18[/C][C]107.32[/C][C]107.967[/C][C]107.73[/C][C]0.23755[/C][C]-0.647133[/C][/ROW]
[ROW][C]19[/C][C]107.76[/C][C]108.087[/C][C]108.194[/C][C]-0.107212[/C][C]-0.326954[/C][/ROW]
[ROW][C]20[/C][C]107.26[/C][C]108.045[/C][C]108.662[/C][C]-0.617331[/C][C]-0.785169[/C][/ROW]
[ROW][C]21[/C][C]107.89[/C][C]108.565[/C][C]109.16[/C][C]-0.594831[/C][C]-0.675169[/C][/ROW]
[ROW][C]22[/C][C]109.08[/C][C]109.26[/C][C]109.677[/C][C]-0.416974[/C][C]-0.180109[/C][/ROW]
[ROW][C]23[/C][C]110.4[/C][C]110.097[/C][C]110.256[/C][C]-0.159058[/C][C]0.302808[/C][/ROW]
[ROW][C]24[/C][C]111.03[/C][C]110.41[/C][C]110.885[/C][C]-0.475784[/C][C]0.620367[/C][/ROW]
[ROW][C]25[/C][C]112.05[/C][C]111.717[/C][C]111.513[/C][C]0.203919[/C][C]0.333165[/C][/ROW]
[ROW][C]26[/C][C]112.28[/C][C]112.49[/C][C]112.144[/C][C]0.345764[/C][C]-0.209514[/C][/ROW]
[ROW][C]27[/C][C]112.8[/C][C]112.995[/C][C]112.737[/C][C]0.25874[/C][C]-0.195407[/C][/ROW]
[ROW][C]28[/C][C]114.17[/C][C]113.949[/C][C]113.274[/C][C]0.675645[/C][C]0.220605[/C][/ROW]
[ROW][C]29[/C][C]114.92[/C][C]114.369[/C][C]113.72[/C][C]0.649573[/C][C]0.550843[/C][/ROW]
[ROW][C]30[/C][C]114.65[/C][C]114.318[/C][C]114.081[/C][C]0.23755[/C][C]0.331617[/C][/ROW]
[ROW][C]31[/C][C]115.49[/C][C]114.326[/C][C]114.433[/C][C]-0.107212[/C][C]1.1643[/C][/ROW]
[ROW][C]32[/C][C]114.67[/C][C]114.17[/C][C]114.787[/C][C]-0.617331[/C][C]0.500248[/C][/ROW]
[ROW][C]33[/C][C]114.71[/C][C]114.504[/C][C]115.099[/C][C]-0.594831[/C][C]0.205665[/C][/ROW]
[ROW][C]34[/C][C]115.15[/C][C]114.921[/C][C]115.338[/C][C]-0.416974[/C][C]0.229058[/C][/ROW]
[ROW][C]35[/C][C]115.03[/C][C]115.337[/C][C]115.496[/C][C]-0.159058[/C][C]-0.306776[/C][/ROW]
[ROW][C]36[/C][C]115.07[/C][C]115.114[/C][C]115.59[/C][C]-0.475784[/C][C]-0.0437996[/C][/ROW]
[ROW][C]37[/C][C]116.46[/C][C]115.804[/C][C]115.6[/C][C]0.203919[/C][C]0.655665[/C][/ROW]
[ROW][C]38[/C][C]116.37[/C][C]115.916[/C][C]115.57[/C][C]0.345764[/C][C]0.453819[/C][/ROW]
[ROW][C]39[/C][C]116.2[/C][C]115.804[/C][C]115.545[/C][C]0.25874[/C][C]0.395843[/C][/ROW]
[ROW][C]40[/C][C]116.5[/C][C]116.184[/C][C]115.508[/C][C]0.675645[/C][C]0.316438[/C][/ROW]
[ROW][C]41[/C][C]116.38[/C][C]116.135[/C][C]115.485[/C][C]0.649573[/C][C]0.245427[/C][/ROW]
[ROW][C]42[/C][C]115.44[/C][C]115.708[/C][C]115.471[/C][C]0.23755[/C][C]-0.268383[/C][/ROW]
[ROW][C]43[/C][C]114.96[/C][C]115.339[/C][C]115.447[/C][C]-0.107212[/C][C]-0.379454[/C][/ROW]
[ROW][C]44[/C][C]114.48[/C][C]114.823[/C][C]115.44[/C][C]-0.617331[/C][C]-0.343085[/C][/ROW]
[ROW][C]45[/C][C]114.3[/C][C]114.891[/C][C]115.486[/C][C]-0.594831[/C][C]-0.591002[/C][/ROW]
[ROW][C]46[/C][C]114.66[/C][C]115.14[/C][C]115.557[/C][C]-0.416974[/C][C]-0.480109[/C][/ROW]
[ROW][C]47[/C][C]114.97[/C][C]115.48[/C][C]115.639[/C][C]-0.159058[/C][C]-0.510109[/C][/ROW]
[ROW][C]48[/C][C]114.79[/C][C]115.287[/C][C]115.763[/C][C]-0.475784[/C][C]-0.497133[/C][/ROW]
[ROW][C]49[/C][C]116.16[/C][C]116.129[/C][C]115.925[/C][C]0.203919[/C][C]0.0310813[/C][/ROW]
[ROW][C]50[/C][C]116.52[/C][C]116.467[/C][C]116.121[/C][C]0.345764[/C][C]0.0534028[/C][/ROW]
[ROW][C]51[/C][C]117.14[/C][C]116.622[/C][C]116.364[/C][C]0.25874[/C][C]0.51751[/C][/ROW]
[ROW][C]52[/C][C]117.27[/C][C]117.298[/C][C]116.622[/C][C]0.675645[/C][C]-0.0277282[/C][/ROW]
[ROW][C]53[/C][C]117.58[/C][C]117.51[/C][C]116.86[/C][C]0.649573[/C][C]0.0700099[/C][/ROW]
[ROW][C]54[/C][C]117.21[/C][C]117.342[/C][C]117.104[/C][C]0.23755[/C][C]-0.131716[/C][/ROW]
[ROW][C]55[/C][C]117.08[/C][C]117.227[/C][C]117.334[/C][C]-0.107212[/C][C]-0.146538[/C][/ROW]
[ROW][C]56[/C][C]117.06[/C][C]116.925[/C][C]117.542[/C][C]-0.617331[/C][C]0.135248[/C][/ROW]
[ROW][C]57[/C][C]117.55[/C][C]117.129[/C][C]117.724[/C][C]-0.594831[/C][C]0.421081[/C][/ROW]
[ROW][C]58[/C][C]117.61[/C][C]117.479[/C][C]117.896[/C][C]-0.416974[/C][C]0.130724[/C][/ROW]
[ROW][C]59[/C][C]117.74[/C][C]117.94[/C][C]118.099[/C][C]-0.159058[/C][C]-0.199692[/C][/ROW]
[ROW][C]60[/C][C]117.87[/C][C]117.86[/C][C]118.335[/C][C]-0.475784[/C][C]0.0103671[/C][/ROW]
[ROW][C]61[/C][C]118.59[/C][C]118.814[/C][C]118.61[/C][C]0.203919[/C][C]-0.223502[/C][/ROW]
[ROW][C]62[/C][C]119.09[/C][C]119.221[/C][C]118.875[/C][C]0.345764[/C][C]-0.130764[/C][/ROW]
[ROW][C]63[/C][C]118.93[/C][C]119.366[/C][C]119.108[/C][C]0.25874[/C][C]-0.43624[/C][/ROW]
[ROW][C]64[/C][C]119.62[/C][C]120.016[/C][C]119.34[/C][C]0.675645[/C][C]-0.396062[/C][/ROW]
[ROW][C]65[/C][C]120.09[/C][C]120.272[/C][C]119.622[/C][C]0.649573[/C][C]-0.182073[/C][/ROW]
[ROW][C]66[/C][C]120.38[/C][C]120.17[/C][C]119.932[/C][C]0.23755[/C][C]0.20995[/C][/ROW]
[ROW][C]67[/C][C]120.49[/C][C]120.111[/C][C]120.218[/C][C]-0.107212[/C][C]0.378879[/C][/ROW]
[ROW][C]68[/C][C]120.02[/C][C]119.892[/C][C]120.509[/C][C]-0.617331[/C][C]0.128165[/C][/ROW]
[ROW][C]69[/C][C]120.17[/C][C]120.239[/C][C]120.834[/C][C]-0.594831[/C][C]-0.0693353[/C][/ROW]
[ROW][C]70[/C][C]120.58[/C][C]120.725[/C][C]121.142[/C][C]-0.416974[/C][C]-0.144692[/C][/ROW]
[ROW][C]71[/C][C]121.54[/C][C]121.26[/C][C]121.419[/C][C]-0.159058[/C][C]0.280308[/C][/ROW]
[ROW][C]72[/C][C]121.51[/C][C]121.2[/C][C]121.675[/C][C]-0.475784[/C][C]0.310367[/C][/ROW]
[ROW][C]73[/C][C]121.81[/C][C]122.113[/C][C]121.909[/C][C]0.203919[/C][C]-0.302669[/C][/ROW]
[ROW][C]74[/C][C]122.85[/C][C]122.523[/C][C]122.178[/C][C]0.345764[/C][C]0.326736[/C][/ROW]
[ROW][C]75[/C][C]122.97[/C][C]122.75[/C][C]122.491[/C][C]0.25874[/C][C]0.220427[/C][/ROW]
[ROW][C]76[/C][C]122.96[/C][C]123.514[/C][C]122.838[/C][C]0.675645[/C][C]-0.553978[/C][/ROW]
[ROW][C]77[/C][C]123.4[/C][C]123.837[/C][C]123.188[/C][C]0.649573[/C][C]-0.437073[/C][/ROW]
[ROW][C]78[/C][C]123.23[/C][C]123.746[/C][C]123.508[/C][C]0.23755[/C][C]-0.515883[/C][/ROW]
[ROW][C]79[/C][C]123.24[/C][C]123.751[/C][C]123.858[/C][C]-0.107212[/C][C]-0.511121[/C][/ROW]
[ROW][C]80[/C][C]123.72[/C][C]123.611[/C][C]124.228[/C][C]-0.617331[/C][C]0.108998[/C][/ROW]
[ROW][C]81[/C][C]123.99[/C][C]124.009[/C][C]124.604[/C][C]-0.594831[/C][C]-0.0189187[/C][/ROW]
[ROW][C]82[/C][C]125.1[/C][C]124.612[/C][C]125.029[/C][C]-0.416974[/C][C]0.487808[/C][/ROW]
[ROW][C]83[/C][C]125.4[/C][C]125.342[/C][C]125.501[/C][C]-0.159058[/C][C]0.0578075[/C][/ROW]
[ROW][C]84[/C][C]125.35[/C][C]125.528[/C][C]126.004[/C][C]-0.475784[/C][C]-0.177966[/C][/ROW]
[ROW][C]85[/C][C]126.37[/C][C]126.693[/C][C]126.489[/C][C]0.203919[/C][C]-0.322669[/C][/ROW]
[ROW][C]86[/C][C]127.17[/C][C]127.244[/C][C]126.898[/C][C]0.345764[/C][C]-0.0740972[/C][/ROW]
[ROW][C]87[/C][C]127.66[/C][C]127.513[/C][C]127.255[/C][C]0.25874[/C][C]0.146677[/C][/ROW]
[ROW][C]88[/C][C]128.48[/C][C]128.226[/C][C]127.55[/C][C]0.675645[/C][C]0.254355[/C][/ROW]
[ROW][C]89[/C][C]129.21[/C][C]128.438[/C][C]127.788[/C][C]0.649573[/C][C]0.772093[/C][/ROW]
[ROW][C]90[/C][C]129.48[/C][C]128.258[/C][C]128.021[/C][C]0.23755[/C][C]1.22162[/C][/ROW]
[ROW][C]91[/C][C]128.63[/C][C]NA[/C][C]NA[/C][C]-0.107212[/C][C]NA[/C][/ROW]
[ROW][C]92[/C][C]128.16[/C][C]NA[/C][C]NA[/C][C]-0.617331[/C][C]NA[/C][/ROW]
[ROW][C]93[/C][C]128.1[/C][C]NA[/C][C]NA[/C][C]-0.594831[/C][C]NA[/C][/ROW]
[ROW][C]94[/C][C]128.08[/C][C]NA[/C][C]NA[/C][C]-0.416974[/C][C]NA[/C][/ROW]
[ROW][C]95[/C][C]128.14[/C][C]NA[/C][C]NA[/C][C]-0.159058[/C][C]NA[/C][/ROW]
[ROW][C]96[/C][C]128.19[/C][C]NA[/C][C]NA[/C][C]-0.475784[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=278703&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=278703&T=1

As an alternative you can also use a QR Code:  
QR Code


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

Classical Decomposition by Moving Averages
tObservationsFitTrendSeasonalRandom
1101.94NANA0.203919NA
2102.62NANA0.345764NA
3102.71NANA0.25874NA
4103.39NANA0.675645NA
5104.51NANA0.649573NA
6104.09NANA0.23755NA
7104.29104.269104.376-0.1072120.0209623
8104.57104.114104.732-0.6173310.455665
9105.39104.462105.057-0.5948310.927748
10105.15104.993105.41-0.4169740.157391
11106.13105.554105.713-0.1590580.575724
12105.46105.482105.958-0.475784-0.0221329
13106.47106.441106.2370.2039190.028998
14106.62106.84106.4940.345764-0.219514
15106.52106.969106.710.25874-0.44874
16108.04107.654106.9780.6756450.386438
17107.15107.969107.320.649573-0.819157
18107.32107.967107.730.23755-0.647133
19107.76108.087108.194-0.107212-0.326954
20107.26108.045108.662-0.617331-0.785169
21107.89108.565109.16-0.594831-0.675169
22109.08109.26109.677-0.416974-0.180109
23110.4110.097110.256-0.1590580.302808
24111.03110.41110.885-0.4757840.620367
25112.05111.717111.5130.2039190.333165
26112.28112.49112.1440.345764-0.209514
27112.8112.995112.7370.25874-0.195407
28114.17113.949113.2740.6756450.220605
29114.92114.369113.720.6495730.550843
30114.65114.318114.0810.237550.331617
31115.49114.326114.433-0.1072121.1643
32114.67114.17114.787-0.6173310.500248
33114.71114.504115.099-0.5948310.205665
34115.15114.921115.338-0.4169740.229058
35115.03115.337115.496-0.159058-0.306776
36115.07115.114115.59-0.475784-0.0437996
37116.46115.804115.60.2039190.655665
38116.37115.916115.570.3457640.453819
39116.2115.804115.5450.258740.395843
40116.5116.184115.5080.6756450.316438
41116.38116.135115.4850.6495730.245427
42115.44115.708115.4710.23755-0.268383
43114.96115.339115.447-0.107212-0.379454
44114.48114.823115.44-0.617331-0.343085
45114.3114.891115.486-0.594831-0.591002
46114.66115.14115.557-0.416974-0.480109
47114.97115.48115.639-0.159058-0.510109
48114.79115.287115.763-0.475784-0.497133
49116.16116.129115.9250.2039190.0310813
50116.52116.467116.1210.3457640.0534028
51117.14116.622116.3640.258740.51751
52117.27117.298116.6220.675645-0.0277282
53117.58117.51116.860.6495730.0700099
54117.21117.342117.1040.23755-0.131716
55117.08117.227117.334-0.107212-0.146538
56117.06116.925117.542-0.6173310.135248
57117.55117.129117.724-0.5948310.421081
58117.61117.479117.896-0.4169740.130724
59117.74117.94118.099-0.159058-0.199692
60117.87117.86118.335-0.4757840.0103671
61118.59118.814118.610.203919-0.223502
62119.09119.221118.8750.345764-0.130764
63118.93119.366119.1080.25874-0.43624
64119.62120.016119.340.675645-0.396062
65120.09120.272119.6220.649573-0.182073
66120.38120.17119.9320.237550.20995
67120.49120.111120.218-0.1072120.378879
68120.02119.892120.509-0.6173310.128165
69120.17120.239120.834-0.594831-0.0693353
70120.58120.725121.142-0.416974-0.144692
71121.54121.26121.419-0.1590580.280308
72121.51121.2121.675-0.4757840.310367
73121.81122.113121.9090.203919-0.302669
74122.85122.523122.1780.3457640.326736
75122.97122.75122.4910.258740.220427
76122.96123.514122.8380.675645-0.553978
77123.4123.837123.1880.649573-0.437073
78123.23123.746123.5080.23755-0.515883
79123.24123.751123.858-0.107212-0.511121
80123.72123.611124.228-0.6173310.108998
81123.99124.009124.604-0.594831-0.0189187
82125.1124.612125.029-0.4169740.487808
83125.4125.342125.501-0.1590580.0578075
84125.35125.528126.004-0.475784-0.177966
85126.37126.693126.4890.203919-0.322669
86127.17127.244126.8980.345764-0.0740972
87127.66127.513127.2550.258740.146677
88128.48128.226127.550.6756450.254355
89129.21128.438127.7880.6495730.772093
90129.48128.258128.0210.237551.22162
91128.63NANA-0.107212NA
92128.16NANA-0.617331NA
93128.1NANA-0.594831NA
94128.08NANA-0.416974NA
95128.14NANA-0.159058NA
96128.19NANA-0.475784NA


Figures (Output of Computation)

Input Parameters & R Code

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$trend)) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,x[i])
if (par1 == 'additive') a<-table.element(a,signif(m$trend[i]+m$seasonal[i],6)) else a<-table.element(a,signif(m$trend[i]*m$seasonal[i],6))
a<-table.element(a,signif(m$trend[i],6))
a<-table.element(a,signif(m$seasonal[i],6))
a<-table.element(a,signif(m$random[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')