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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 computationThu, 17 Dec 2009 04:19:50 -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/17/t12610488510dxjjfm59gqjhgm.htm/, Retrieved Tue, 30 Apr 2024 03:20:03 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=68752, Retrieved Tue, 30 Apr 2024 03:20:03 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83

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]
- R PD          [Spectral Analysis] [] [2009-12-17 11:19:50] [e76c6d261190c0179bc6006a5cdb804c] [Current]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
359640
364080
364080
359640
359640
359640
359640
359640
364080
368520
372960
377400
406780
402050
392590
368940
368940
378400
406780
420970
420970
406780
392590
392590
394250
399000
403750
399000
408500
403750
403750
399000
403750
403750
403750
403750
405450
405450
405450
405450
410220
400680
386370
381600
381600
381600
381600
376830
381420
381420
386310
396090
391200
371640
356970
342300
332520
342300
347190
352080
357130
347070
337010
337010
331980

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=68752&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=68752&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68752&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)6198138.825598
0.0312 (32)333207.364927
0.0469 (21.3333)4764598.903326
0.0625 (16)45179860.820453
0.0781 (12.8)145926945.306041
0.0938 (10.6667)208673969.698335
0.1094 (9.1429)127199682.268467
0.125 (8)567638684.544378
0.1406 (7.1111)133264574.182347
0.1562 (6.4)513456257.914668
0.1719 (5.8182)159992834.096303
0.1875 (5.3333)193256061.106061
0.2031 (4.9231)32880128.146466
0.2188 (4.5714)27472116.142715
0.2344 (4.2667)1239808.809774
0.25 (4)63236149.124477
0.2656 (3.7647)16075952.361703
0.2812 (3.5556)36055483.781163
0.2969 (3.3684)3575739.533198
0.3125 (3.2)39337786.508266
0.3281 (3.0476)18678718.121645
0.3438 (2.9091)17693468.142015
0.3594 (2.7826)62974738.962859
0.375 (2.6667)24091660.913151
0.3906 (2.56)7027288.717609
0.4062 (2.4615)7537561.632071
0.4219 (2.3704)26827194.584165
0.4375 (2.2857)71664491.751845
0.4531 (2.2069)27058437.603398
0.4688 (2.1333)20286449.71005
0.4844 (2.0645)50943674.875897
0.5 (2)170152732.068414

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0156 (64) & 6198138.825598 \tabularnewline
0.0312 (32) & 333207.364927 \tabularnewline
0.0469 (21.3333) & 4764598.903326 \tabularnewline
0.0625 (16) & 45179860.820453 \tabularnewline
0.0781 (12.8) & 145926945.306041 \tabularnewline
0.0938 (10.6667) & 208673969.698335 \tabularnewline
0.1094 (9.1429) & 127199682.268467 \tabularnewline
0.125 (8) & 567638684.544378 \tabularnewline
0.1406 (7.1111) & 133264574.182347 \tabularnewline
0.1562 (6.4) & 513456257.914668 \tabularnewline
0.1719 (5.8182) & 159992834.096303 \tabularnewline
0.1875 (5.3333) & 193256061.106061 \tabularnewline
0.2031 (4.9231) & 32880128.146466 \tabularnewline
0.2188 (4.5714) & 27472116.142715 \tabularnewline
0.2344 (4.2667) & 1239808.809774 \tabularnewline
0.25 (4) & 63236149.124477 \tabularnewline
0.2656 (3.7647) & 16075952.361703 \tabularnewline
0.2812 (3.5556) & 36055483.781163 \tabularnewline
0.2969 (3.3684) & 3575739.533198 \tabularnewline
0.3125 (3.2) & 39337786.508266 \tabularnewline
0.3281 (3.0476) & 18678718.121645 \tabularnewline
0.3438 (2.9091) & 17693468.142015 \tabularnewline
0.3594 (2.7826) & 62974738.962859 \tabularnewline
0.375 (2.6667) & 24091660.913151 \tabularnewline
0.3906 (2.56) & 7027288.717609 \tabularnewline
0.4062 (2.4615) & 7537561.632071 \tabularnewline
0.4219 (2.3704) & 26827194.584165 \tabularnewline
0.4375 (2.2857) & 71664491.751845 \tabularnewline
0.4531 (2.2069) & 27058437.603398 \tabularnewline
0.4688 (2.1333) & 20286449.71005 \tabularnewline
0.4844 (2.0645) & 50943674.875897 \tabularnewline
0.5 (2) & 170152732.068414 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=68752&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0156 (64)[/C][C]6198138.825598[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]333207.364927[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]4764598.903326[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]45179860.820453[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]145926945.306041[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]208673969.698335[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]127199682.268467[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]567638684.544378[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]133264574.182347[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]513456257.914668[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]159992834.096303[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]193256061.106061[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]32880128.146466[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]27472116.142715[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]1239808.809774[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]63236149.124477[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]16075952.361703[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]36055483.781163[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]3575739.533198[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]39337786.508266[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]18678718.121645[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]17693468.142015[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]62974738.962859[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]24091660.913151[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]7027288.717609[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]7537561.632071[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]26827194.584165[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]71664491.751845[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]27058437.603398[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]20286449.71005[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]50943674.875897[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]170152732.068414[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=68752&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=68752&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)6198138.825598
0.0312 (32)333207.364927
0.0469 (21.3333)4764598.903326
0.0625 (16)45179860.820453
0.0781 (12.8)145926945.306041
0.0938 (10.6667)208673969.698335
0.1094 (9.1429)127199682.268467
0.125 (8)567638684.544378
0.1406 (7.1111)133264574.182347
0.1562 (6.4)513456257.914668
0.1719 (5.8182)159992834.096303
0.1875 (5.3333)193256061.106061
0.2031 (4.9231)32880128.146466
0.2188 (4.5714)27472116.142715
0.2344 (4.2667)1239808.809774
0.25 (4)63236149.124477
0.2656 (3.7647)16075952.361703
0.2812 (3.5556)36055483.781163
0.2969 (3.3684)3575739.533198
0.3125 (3.2)39337786.508266
0.3281 (3.0476)18678718.121645
0.3438 (2.9091)17693468.142015
0.3594 (2.7826)62974738.962859
0.375 (2.6667)24091660.913151
0.3906 (2.56)7027288.717609
0.4062 (2.4615)7537561.632071
0.4219 (2.3704)26827194.584165
0.4375 (2.2857)71664491.751845
0.4531 (2.2069)27058437.603398
0.4688 (2.1333)20286449.71005
0.4844 (2.0645)50943674.875897
0.5 (2)170152732.068414


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; 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')