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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 computationFri, 27 Nov 2009 05:46:35 -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/Nov/27/t1259326061cwc5sfu4qbadhos.htm/, Retrieved Thu, 03 Apr 2025 07:56:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60669, Retrieved Thu, 03 Apr 2025 07:56:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsWorkshop 8 - Spectrum 3
Estimated Impact254

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 12:38:17] [b98453cac15ba1066b407e146608df68]
-   PD        [Spectral Analysis] [Workshop 8] [2009-11-24 12:09:58] [214e6e00abbde49700521a7ef1d30da2]
- R PD            [Spectral Analysis] [shw-ws8] [2009-11-27 12:46:35] [5b5bced41faf164488f2c271c918b21f] [Current]
-   P               [Spectral Analysis] [Spectrum_3] [2009-12-29 15:46:55] [2663058f2a5dda519058ac6b2228468f]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1178
2141
2238
2685
4341
5376
4478
6404
4617
3024
1897
2075
1351
2211
2453
3042
4765
4992
4601
6266
4812
3159
1916
2237
1595
2453
2226
3597
4706
4974
5756
5493
5004
3225
2006
2291
1588
2105
2191
3591
4668
4885
5822
5599
5340
3082
2010
2301
1514
1979
2480
3499
4676
5585
5610
5796
6199
3030
1930
2552

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 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 & 0 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60669&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]0 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=60669&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60669&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 time0 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)463.385516
0.0417 (24)5224.601768
0.0625 (16)13182.783831
0.0833 (12)4183.058591
0.1042 (9.6)11798.227105
0.125 (8)4574.129082
0.1458 (6.8571)60151.087629
0.1667 (6)15331.227095
0.1875 (5.3333)47359.126622
0.2083 (4.8)133764.734094
0.2292 (4.3636)91707.570836
0.25 (4)16178.596284
0.2708 (3.6923)177015.083307
0.2917 (3.4286)246850.105942
0.3125 (3.2)550727.523341
0.3333 (3)464108.746014
0.3542 (2.8235)1619663.943057
0.375 (2.6667)334248.07735
0.3958 (2.5263)636795.806465
0.4167 (2.4)702007.63371
0.4375 (2.2857)872194.852855
0.4583 (2.1818)173985.497426
0.4792 (2.087)155802.244706
0.5 (2)817766.709117

\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) & 463.385516 \tabularnewline
0.0417 (24) & 5224.601768 \tabularnewline
0.0625 (16) & 13182.783831 \tabularnewline
0.0833 (12) & 4183.058591 \tabularnewline
0.1042 (9.6) & 11798.227105 \tabularnewline
0.125 (8) & 4574.129082 \tabularnewline
0.1458 (6.8571) & 60151.087629 \tabularnewline
0.1667 (6) & 15331.227095 \tabularnewline
0.1875 (5.3333) & 47359.126622 \tabularnewline
0.2083 (4.8) & 133764.734094 \tabularnewline
0.2292 (4.3636) & 91707.570836 \tabularnewline
0.25 (4) & 16178.596284 \tabularnewline
0.2708 (3.6923) & 177015.083307 \tabularnewline
0.2917 (3.4286) & 246850.105942 \tabularnewline
0.3125 (3.2) & 550727.523341 \tabularnewline
0.3333 (3) & 464108.746014 \tabularnewline
0.3542 (2.8235) & 1619663.943057 \tabularnewline
0.375 (2.6667) & 334248.07735 \tabularnewline
0.3958 (2.5263) & 636795.806465 \tabularnewline
0.4167 (2.4) & 702007.63371 \tabularnewline
0.4375 (2.2857) & 872194.852855 \tabularnewline
0.4583 (2.1818) & 173985.497426 \tabularnewline
0.4792 (2.087) & 155802.244706 \tabularnewline
0.5 (2) & 817766.709117 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60669&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]463.385516[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]5224.601768[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]13182.783831[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]4183.058591[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]11798.227105[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]4574.129082[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]60151.087629[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]15331.227095[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]47359.126622[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]133764.734094[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]91707.570836[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]16178.596284[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]177015.083307[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]246850.105942[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]550727.523341[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]464108.746014[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]1619663.943057[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]334248.07735[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]636795.806465[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]702007.63371[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]872194.852855[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]173985.497426[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]155802.244706[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]817766.709117[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60669&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60669&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)463.385516
0.0417 (24)5224.601768
0.0625 (16)13182.783831
0.0833 (12)4183.058591
0.1042 (9.6)11798.227105
0.125 (8)4574.129082
0.1458 (6.8571)60151.087629
0.1667 (6)15331.227095
0.1875 (5.3333)47359.126622
0.2083 (4.8)133764.734094
0.2292 (4.3636)91707.570836
0.25 (4)16178.596284
0.2708 (3.6923)177015.083307
0.2917 (3.4286)246850.105942
0.3125 (3.2)550727.523341
0.3333 (3)464108.746014
0.3542 (2.8235)1619663.943057
0.375 (2.6667)334248.07735
0.3958 (2.5263)636795.806465
0.4167 (2.4)702007.63371
0.4375 (2.2857)872194.852855
0.4583 (2.1818)173985.497426
0.4792 (2.087)155802.244706
0.5 (2)817766.709117


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')