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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, 19 Dec 2008 07:48:32 -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/2008/Dec/19/t12296982120a4i2byva2czgyc.htm/, Retrieved Wed, 15 May 2024 20:56:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35161, Retrieved Wed, 15 May 2024 20:56:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact203

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ARIMA Backward Selection] [Paper Arima Backw...] [2008-12-19 10:49:33] [f9b9e85820b2a54b20380c3265aca831]
- RMPD    [Spectral Analysis] [Paper H5 Vrouwen ...] [2008-12-19 14:48:32] [5e9e099b83e50415d7642e10d74756e4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
308347
298427
289231
291975
294912
293488
290555
284736
281818
287854
316263
325412
326011
328282
317480
317539
313737
312276
309391
302950
300316
304035
333476
337698
335932
323931
313927
314485
313218
309664
302963
298989
298423
301631
329765
335083
327616
309119
295916
291413
291542
284678
276475
272566
264981
263290
296806
303598
286994
276427
266424
267153
268381
262522
255542
253158
243803
250741
280445
285257
270976
261076
255603

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35161&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35161&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35161&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'George Udny Yule' @ 72.249.76.132






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
0.02 (50)14399135.859622
0.04 (25)18313873.877244
0.06 (16.6667)26184738.637694
0.08 (12.5)8376015.763978
0.1 (10)22158250.18799
0.12 (8.3333)279340.028664
0.14 (7.1429)20152391.532758
0.16 (6.25)10091502.145964
0.18 (5.5556)17311724.598968
0.2 (5)13769592.025271
0.22 (4.5455)20121802.699151
0.24 (4.1667)3719509.933335
0.26 (3.8462)35300917.437334
0.28 (3.5714)36317982.241757
0.3 (3.3333)12946817.536712
0.32 (3.125)1687822.573242
0.34 (2.9412)15453374.031554
0.36 (2.7778)43965491.814942
0.38 (2.6316)8214833.71273
0.4 (2.5)9439148.648433
0.42 (2.381)11686505.856462
0.44 (2.2727)26416765.300941
0.46 (2.1739)7309714.3754
0.48 (2.0833)40603112.896754
0.5 (2)1380134.061045

\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
0.02 (50) & 14399135.859622 \tabularnewline
0.04 (25) & 18313873.877244 \tabularnewline
0.06 (16.6667) & 26184738.637694 \tabularnewline
0.08 (12.5) & 8376015.763978 \tabularnewline
0.1 (10) & 22158250.18799 \tabularnewline
0.12 (8.3333) & 279340.028664 \tabularnewline
0.14 (7.1429) & 20152391.532758 \tabularnewline
0.16 (6.25) & 10091502.145964 \tabularnewline
0.18 (5.5556) & 17311724.598968 \tabularnewline
0.2 (5) & 13769592.025271 \tabularnewline
0.22 (4.5455) & 20121802.699151 \tabularnewline
0.24 (4.1667) & 3719509.933335 \tabularnewline
0.26 (3.8462) & 35300917.437334 \tabularnewline
0.28 (3.5714) & 36317982.241757 \tabularnewline
0.3 (3.3333) & 12946817.536712 \tabularnewline
0.32 (3.125) & 1687822.573242 \tabularnewline
0.34 (2.9412) & 15453374.031554 \tabularnewline
0.36 (2.7778) & 43965491.814942 \tabularnewline
0.38 (2.6316) & 8214833.71273 \tabularnewline
0.4 (2.5) & 9439148.648433 \tabularnewline
0.42 (2.381) & 11686505.856462 \tabularnewline
0.44 (2.2727) & 26416765.300941 \tabularnewline
0.46 (2.1739) & 7309714.3754 \tabularnewline
0.48 (2.0833) & 40603112.896754 \tabularnewline
0.5 (2) & 1380134.061045 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35161&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]0.02 (50)[/C][C]14399135.859622[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]18313873.877244[/C][/ROW]
[ROW][C]0.06 (16.6667)[/C][C]26184738.637694[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]8376015.763978[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]22158250.18799[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]279340.028664[/C][/ROW]
[ROW][C]0.14 (7.1429)[/C][C]20152391.532758[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]10091502.145964[/C][/ROW]
[ROW][C]0.18 (5.5556)[/C][C]17311724.598968[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]13769592.025271[/C][/ROW]
[ROW][C]0.22 (4.5455)[/C][C]20121802.699151[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]3719509.933335[/C][/ROW]
[ROW][C]0.26 (3.8462)[/C][C]35300917.437334[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]36317982.241757[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]12946817.536712[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]1687822.573242[/C][/ROW]
[ROW][C]0.34 (2.9412)[/C][C]15453374.031554[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]43965491.814942[/C][/ROW]
[ROW][C]0.38 (2.6316)[/C][C]8214833.71273[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]9439148.648433[/C][/ROW]
[ROW][C]0.42 (2.381)[/C][C]11686505.856462[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]26416765.300941[/C][/ROW]
[ROW][C]0.46 (2.1739)[/C][C]7309714.3754[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]40603112.896754[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1380134.061045[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35161&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35161&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
0.02 (50)14399135.859622
0.04 (25)18313873.877244
0.06 (16.6667)26184738.637694
0.08 (12.5)8376015.763978
0.1 (10)22158250.18799
0.12 (8.3333)279340.028664
0.14 (7.1429)20152391.532758
0.16 (6.25)10091502.145964
0.18 (5.5556)17311724.598968
0.2 (5)13769592.025271
0.22 (4.5455)20121802.699151
0.24 (4.1667)3719509.933335
0.26 (3.8462)35300917.437334
0.28 (3.5714)36317982.241757
0.3 (3.3333)12946817.536712
0.32 (3.125)1687822.573242
0.34 (2.9412)15453374.031554
0.36 (2.7778)43965491.814942
0.38 (2.6316)8214833.71273
0.4 (2.5)9439148.648433
0.42 (2.381)11686505.856462
0.44 (2.2727)26416765.300941
0.46 (2.1739)7309714.3754
0.48 (2.0833)40603112.896754
0.5 (2)1380134.061045


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')