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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationWed, 02 Dec 2009 04:15:10 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/02/t1259752534psjwnuzdkjt0jlq.htm/, Retrieved Thu, 15 May 2025 02:52:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=62330, Retrieved Thu, 15 May 2025 02:52:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact228

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Spectral Analysis] [Identifying Integ...] [2009-11-22 12:42:14] [b98453cac15ba1066b407e146608df68]
-    D        [Spectral Analysis] [ws 8] [2009-11-24 21:02:34] [b5908418e3090fddbd22f5f0f774653d]
-   PD          [Spectral Analysis] [ws 8] [2009-11-25 17:30:48] [b5908418e3090fddbd22f5f0f774653d]
-   PD            [Spectral Analysis] [WS8 Spectrumanalyse] [2009-11-27 15:59:03] [37a8d600db9abe09a2528d150ccff095]
-   PD                [Spectral Analysis] [] [2009-12-02 11:15:10] [efdfe680cd785c4af09f858b30f777ec] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10284.5
12792
12823.61538
13845.66667
15335.63636
11188.5
13633.25
12298.46667
15353.63636
12696.15385
12213.93333
13683.72727
11214.14286
13950.23077
11179.13333
11801.875
11188.82353
16456.27273
11110.0625
16530.69231
10038.41176
11681.25
11148.88235
8631
9386.444444
9764.736842
12043.75
12948.06667
10987.125
11648.3125
10633.35294
10219.3
9037.6
10296.31579
11705.41176
10681.94444
9362.947368
11306.35294
10984.45
10062.61905
8118.583333
8867.48
8346.72
8529.307692
10697.18182
8591.84
8695.607143
8125.571429
7009.758621
7883.466667
7527.645161
6763.758621
6682.333333
7855.681818
6738.88
7895.434783
6361.884615
6935.956522
8344.454545
9107.944444

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62330&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62330&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62330&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)679098.472736
0.0417 (24)129023.772806
0.0625 (16)508534.11844
0.0833 (12)37290.583789
0.1042 (9.6)8163256.627582
0.125 (8)11903172.908417
0.1458 (6.8571)1174977.546995
0.1667 (6)548332.957967
0.1875 (5.3333)7673335.05483
0.2083 (4.8)1132581.242814
0.2292 (4.3636)8695772.502687
0.25 (4)1478723.894045
0.2708 (3.6923)4147726.48426
0.2917 (3.4286)7304880.948976
0.3125 (3.2)24512.333555
0.3333 (3)76039.466696
0.3542 (2.8235)11051733.732007
0.375 (2.6667)17411033.392249
0.3958 (2.5263)53649071.098888
0.4167 (2.4)9783064.072136
0.4375 (2.2857)55603898.103658
0.4583 (2.1818)64316203.175249
0.4792 (2.087)50230651.655148
0.5 (2)2589262.945629

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 1 \tabularnewline
Degree of seasonal differencing (D) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0208 (48) & 679098.472736 \tabularnewline
0.0417 (24) & 129023.772806 \tabularnewline
0.0625 (16) & 508534.11844 \tabularnewline
0.0833 (12) & 37290.583789 \tabularnewline
0.1042 (9.6) & 8163256.627582 \tabularnewline
0.125 (8) & 11903172.908417 \tabularnewline
0.1458 (6.8571) & 1174977.546995 \tabularnewline
0.1667 (6) & 548332.957967 \tabularnewline
0.1875 (5.3333) & 7673335.05483 \tabularnewline
0.2083 (4.8) & 1132581.242814 \tabularnewline
0.2292 (4.3636) & 8695772.502687 \tabularnewline
0.25 (4) & 1478723.894045 \tabularnewline
0.2708 (3.6923) & 4147726.48426 \tabularnewline
0.2917 (3.4286) & 7304880.948976 \tabularnewline
0.3125 (3.2) & 24512.333555 \tabularnewline
0.3333 (3) & 76039.466696 \tabularnewline
0.3542 (2.8235) & 11051733.732007 \tabularnewline
0.375 (2.6667) & 17411033.392249 \tabularnewline
0.3958 (2.5263) & 53649071.098888 \tabularnewline
0.4167 (2.4) & 9783064.072136 \tabularnewline
0.4375 (2.2857) & 55603898.103658 \tabularnewline
0.4583 (2.1818) & 64316203.175249 \tabularnewline
0.4792 (2.087) & 50230651.655148 \tabularnewline
0.5 (2) & 2589262.945629 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=62330&T=1

[TABLE]
[ROW][C]Raw Periodogram[/C][/ROW]
[ROW][C]Parameter[/C][C]Value[/C][/ROW]
[ROW][C]Box-Cox transformation parameter (lambda)[/C][C]1[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d)[/C][C]1[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]679098.472736[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]129023.772806[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]508534.11844[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]37290.583789[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]8163256.627582[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]11903172.908417[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]1174977.546995[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]548332.957967[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]7673335.05483[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]1132581.242814[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]8695772.502687[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1478723.894045[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]4147726.48426[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]7304880.948976[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]24512.333555[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]76039.466696[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]11051733.732007[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]17411033.392249[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]53649071.098888[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]9783064.072136[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]55603898.103658[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]64316203.175249[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]50230651.655148[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2589262.945629[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=62330&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=62330&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:

Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)679098.472736
0.0417 (24)129023.772806
0.0625 (16)508534.11844
0.0833 (12)37290.583789
0.1042 (9.6)8163256.627582
0.125 (8)11903172.908417
0.1458 (6.8571)1174977.546995
0.1667 (6)548332.957967
0.1875 (5.3333)7673335.05483
0.2083 (4.8)1132581.242814
0.2292 (4.3636)8695772.502687
0.25 (4)1478723.894045
0.2708 (3.6923)4147726.48426
0.2917 (3.4286)7304880.948976
0.3125 (3.2)24512.333555
0.3333 (3)76039.466696
0.3542 (2.8235)11051733.732007
0.375 (2.6667)17411033.392249
0.3958 (2.5263)53649071.098888
0.4167 (2.4)9783064.072136
0.4375 (2.2857)55603898.103658
0.4583 (2.1818)64316203.175249
0.4792 (2.087)50230651.655148
0.5 (2)2589262.945629


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
if (par1 == 0) {
x <- log(x)
} else {
x <- (x ^ par1 - 1) / par1
}
if (par2 > 0) x <- diff(x,lag=1,difference=par2)
if (par3 > 0) x <- diff(x,lag=par4,difference=par3)
bitmap(file='test1.png')
r <- spectrum(x,main='Raw Periodogram')
dev.off()
bitmap(file='test2.png')
cpgram(x,main='Cumulative Periodogram')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Raw Periodogram',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Parameter',header=TRUE)
a<-table.element(a,'Value',header=TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Box-Cox transformation parameter (lambda)',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of non-seasonal differencing (d)',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Degree of seasonal differencing (D)',header=TRUE)
a<-table.element(a,par3)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Seasonal Period (s)',header=TRUE)
a<-table.element(a,par4)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Frequency (Period)',header=TRUE)
a<-table.element(a,'Spectrum',header=TRUE)
a<-table.row.end(a)
for (i in 1:length(r$freq)) {
a<-table.row.start(a)
mylab <- round(r$freq[i],4)
mylab <- paste(mylab,' (',sep='')
mylab <- paste(mylab,round(1/r$freq[i],4),sep='')
mylab <- paste(mylab,')',sep='')
a<-table.element(a,mylab,header=TRUE)
a<-table.element(a,round(r$spec[i],6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')