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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 computationSun, 26 Dec 2010 17:47:10 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/26/t12933855274ja8u3fl0gpzmjs.htm/, Retrieved Mon, 06 May 2024 16:16:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115747, Retrieved Mon, 06 May 2024 16:16:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Spectral Analysis] [spetrum bel 20] [2008-12-10 19:04:41] [74be16979710d4c4e7c6647856088456]
-  MPD  [Spectral Analysis] [bem 20 - spectrum...] [2009-12-21 12:37:40] [a18c43c8b63fa6800a53bb187b9ddd45]
-   PD      [Spectral Analysis] [Werkloosheid vrou...] [2010-12-26 17:47:10] [75888b09f354cf7130ae5528df429303] [Current]
-             [Spectral Analysis] [Werkloosheid vrou...] [2010-12-27 00:22:16] [e4afca2801c0b93eac84a600ed82fb9c]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
313.737
312.276
309.391
302.950
300.316
304.035
333.476
337.698
335.932
323.931
313.927
314.485
313.218
309.664
302.963
298.989
298.423
301.631
329.765
335.083
327.616
309.119
295.916
291.413
291.542
284.678
276.475
272.566
264.981
263.290
296.806
303.598
286.994
276.427
266.424
267.153
268.381
262.522
255.542
253.158
243.803
250.741
280.445
285.257
270.976
261.076
255.603
260.376
263.903
264.291
263.276
262.572
256.167
264.221
293.860
300.713
287.224
275.902
271.115
277.509
279.681
276.239
271.037
266.148
259.497
266.795
298.305
303.725
289.742
276.444
268.606

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'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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115747&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115747&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115747&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'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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)52.94778
0.0278 (36)20.692086
0.0417 (24)5.972598
0.0556 (18)18.442231
0.0694 (14.4)10.740674
0.0833 (12)826.356155
0.0972 (10.2857)41.941421
0.1111 (9)7.585865
0.125 (8)0.834658
0.1389 (7.2)9.093543
0.1528 (6.5455)7.930626
0.1667 (6)2133.561412
0.1806 (5.5385)72.344513
0.1944 (5.1429)13.010009
0.2083 (4.8)23.63601
0.2222 (4.5)3.549205
0.2361 (4.2353)2.97963
0.25 (4)637.450987
0.2639 (3.7895)61.898352
0.2778 (3.6)9.928474
0.2917 (3.4286)1.972733
0.3056 (3.2727)3.770981
0.3194 (3.1304)10.508422
0.3333 (3)380.848252
0.3472 (2.88)29.601404
0.3611 (2.7692)9.237687
0.375 (2.6667)6.125064
0.3889 (2.5714)1.016925
0.4028 (2.4828)12.726621
0.4167 (2.4)153.072055
0.4306 (2.3226)3.351916
0.4444 (2.25)2.225494
0.4583 (2.1818)4.825655
0.4722 (2.1176)0.425191
0.4861 (2.0571)28.155281
0.5 (2)42.044239

\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
0.0139 (72) & 52.94778 \tabularnewline
0.0278 (36) & 20.692086 \tabularnewline
0.0417 (24) & 5.972598 \tabularnewline
0.0556 (18) & 18.442231 \tabularnewline
0.0694 (14.4) & 10.740674 \tabularnewline
0.0833 (12) & 826.356155 \tabularnewline
0.0972 (10.2857) & 41.941421 \tabularnewline
0.1111 (9) & 7.585865 \tabularnewline
0.125 (8) & 0.834658 \tabularnewline
0.1389 (7.2) & 9.093543 \tabularnewline
0.1528 (6.5455) & 7.930626 \tabularnewline
0.1667 (6) & 2133.561412 \tabularnewline
0.1806 (5.5385) & 72.344513 \tabularnewline
0.1944 (5.1429) & 13.010009 \tabularnewline
0.2083 (4.8) & 23.63601 \tabularnewline
0.2222 (4.5) & 3.549205 \tabularnewline
0.2361 (4.2353) & 2.97963 \tabularnewline
0.25 (4) & 637.450987 \tabularnewline
0.2639 (3.7895) & 61.898352 \tabularnewline
0.2778 (3.6) & 9.928474 \tabularnewline
0.2917 (3.4286) & 1.972733 \tabularnewline
0.3056 (3.2727) & 3.770981 \tabularnewline
0.3194 (3.1304) & 10.508422 \tabularnewline
0.3333 (3) & 380.848252 \tabularnewline
0.3472 (2.88) & 29.601404 \tabularnewline
0.3611 (2.7692) & 9.237687 \tabularnewline
0.375 (2.6667) & 6.125064 \tabularnewline
0.3889 (2.5714) & 1.016925 \tabularnewline
0.4028 (2.4828) & 12.726621 \tabularnewline
0.4167 (2.4) & 153.072055 \tabularnewline
0.4306 (2.3226) & 3.351916 \tabularnewline
0.4444 (2.25) & 2.225494 \tabularnewline
0.4583 (2.1818) & 4.825655 \tabularnewline
0.4722 (2.1176) & 0.425191 \tabularnewline
0.4861 (2.0571) & 28.155281 \tabularnewline
0.5 (2) & 42.044239 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115747&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]0.0139 (72)[/C][C]52.94778[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]20.692086[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]5.972598[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]18.442231[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]10.740674[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]826.356155[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]41.941421[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]7.585865[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]0.834658[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]9.093543[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]7.930626[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]2133.561412[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]72.344513[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]13.010009[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]23.63601[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]3.549205[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]2.97963[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]637.450987[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]61.898352[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]9.928474[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]1.972733[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]3.770981[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]10.508422[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]380.848252[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]29.601404[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]9.237687[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]6.125064[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]1.016925[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]12.726621[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]153.072055[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]3.351916[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]2.225494[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]4.825655[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]0.425191[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]28.155281[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]42.044239[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115747&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115747&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
0.0139 (72)52.94778
0.0278 (36)20.692086
0.0417 (24)5.972598
0.0556 (18)18.442231
0.0694 (14.4)10.740674
0.0833 (12)826.356155
0.0972 (10.2857)41.941421
0.1111 (9)7.585865
0.125 (8)0.834658
0.1389 (7.2)9.093543
0.1528 (6.5455)7.930626
0.1667 (6)2133.561412
0.1806 (5.5385)72.344513
0.1944 (5.1429)13.010009
0.2083 (4.8)23.63601
0.2222 (4.5)3.549205
0.2361 (4.2353)2.97963
0.25 (4)637.450987
0.2639 (3.7895)61.898352
0.2778 (3.6)9.928474
0.2917 (3.4286)1.972733
0.3056 (3.2727)3.770981
0.3194 (3.1304)10.508422
0.3333 (3)380.848252
0.3472 (2.88)29.601404
0.3611 (2.7692)9.237687
0.375 (2.6667)6.125064
0.3889 (2.5714)1.016925
0.4028 (2.4828)12.726621
0.4167 (2.4)153.072055
0.4306 (2.3226)3.351916
0.4444 (2.25)2.225494
0.4583 (2.1818)4.825655
0.4722 (2.1176)0.425191
0.4861 (2.0571)28.155281
0.5 (2)42.044239


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ;
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')