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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, 10 Dec 2009 10:34:16 -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/10/t12604667091t8xs2angt18aj3.htm/, Retrieved Sat, 20 Apr 2024 02:29:34 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65637, Retrieved Sat, 20 Apr 2024 02:29:34 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact172

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] [ws8] [2009-11-26 17:48:41] [cd6314e7e707a6546bd4604c9d1f2b69]
-   P           [Spectral Analysis] [ws8] [2009-11-27 13:40:47] [cd6314e7e707a6546bd4604c9d1f2b69]
-   P               [Spectral Analysis] [ws 9 spec] [2009-12-10 17:34:16] [dd4f17965cad1d38de7a1c062d32d75d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
216234
213587
209465
204045
200237
203666
241476
260307
243324
244460
233575
237217
235243
230354
227184
221678
217142
219452
256446
265845
248624
241114
229245
231805
219277
219313
212610
214771
211142
211457
240048
240636
230580
208795
197922
194596
194581
185686
178106
172608
167302
168053
202300
202388
182516
173476
166444
171297
169701
164182
161914
159612
151001
158114
186530
187069
174330
169362
166827
178037
186412
189226
191563
188906
186005
195309
223532
226899
214126

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=65637&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=65637&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65637&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)4881755122.601
0.0278 (36)2337845417.44339
0.0417 (24)451013039.990254
0.0556 (18)428857403.370138
0.0694 (14.4)194076275.12634
0.0833 (12)2273451462.4222
0.0972 (10.2857)770876782.27312
0.1111 (9)207175827.080466
0.125 (8)52262439.375073
0.1389 (7.2)58018456.377382
0.1528 (6.5455)3087277.267037
0.1667 (6)1948473765.28694
0.1806 (5.5385)65171409.416724
0.1944 (5.1429)46056801.81141
0.2083 (4.8)44133949.991704
0.2222 (4.5)30487600.891742
0.2361 (4.2353)28382110.566347
0.25 (4)478280600.418751
0.2639 (3.7895)10979203.521406
0.2778 (3.6)23395812.627715
0.2917 (3.4286)79682.021298
0.3056 (3.2727)8418325.349333
0.3194 (3.1304)4647812.079619
0.3333 (3)166225836.744888
0.3472 (2.88)9902746.610128
0.3611 (2.7692)17486585.204299
0.375 (2.6667)2248919.688058
0.3889 (2.5714)7209235.277044
0.4028 (2.4828)151234.501011
0.4167 (2.4)85097251.273769
0.4306 (2.3226)22939784.689867
0.4444 (2.25)19385900.473872
0.4583 (2.1818)4297888.049609
0.4722 (2.1176)9804995.865386
0.4861 (2.0571)5328374.289823
0.5 (2)483563.878693

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0139 (72) & 4881755122.601 \tabularnewline
0.0278 (36) & 2337845417.44339 \tabularnewline
0.0417 (24) & 451013039.990254 \tabularnewline
0.0556 (18) & 428857403.370138 \tabularnewline
0.0694 (14.4) & 194076275.12634 \tabularnewline
0.0833 (12) & 2273451462.4222 \tabularnewline
0.0972 (10.2857) & 770876782.27312 \tabularnewline
0.1111 (9) & 207175827.080466 \tabularnewline
0.125 (8) & 52262439.375073 \tabularnewline
0.1389 (7.2) & 58018456.377382 \tabularnewline
0.1528 (6.5455) & 3087277.267037 \tabularnewline
0.1667 (6) & 1948473765.28694 \tabularnewline
0.1806 (5.5385) & 65171409.416724 \tabularnewline
0.1944 (5.1429) & 46056801.81141 \tabularnewline
0.2083 (4.8) & 44133949.991704 \tabularnewline
0.2222 (4.5) & 30487600.891742 \tabularnewline
0.2361 (4.2353) & 28382110.566347 \tabularnewline
0.25 (4) & 478280600.418751 \tabularnewline
0.2639 (3.7895) & 10979203.521406 \tabularnewline
0.2778 (3.6) & 23395812.627715 \tabularnewline
0.2917 (3.4286) & 79682.021298 \tabularnewline
0.3056 (3.2727) & 8418325.349333 \tabularnewline
0.3194 (3.1304) & 4647812.079619 \tabularnewline
0.3333 (3) & 166225836.744888 \tabularnewline
0.3472 (2.88) & 9902746.610128 \tabularnewline
0.3611 (2.7692) & 17486585.204299 \tabularnewline
0.375 (2.6667) & 2248919.688058 \tabularnewline
0.3889 (2.5714) & 7209235.277044 \tabularnewline
0.4028 (2.4828) & 151234.501011 \tabularnewline
0.4167 (2.4) & 85097251.273769 \tabularnewline
0.4306 (2.3226) & 22939784.689867 \tabularnewline
0.4444 (2.25) & 19385900.473872 \tabularnewline
0.4583 (2.1818) & 4297888.049609 \tabularnewline
0.4722 (2.1176) & 9804995.865386 \tabularnewline
0.4861 (2.0571) & 5328374.289823 \tabularnewline
0.5 (2) & 483563.878693 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65637&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]0[/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]4881755122.601[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]2337845417.44339[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]451013039.990254[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]428857403.370138[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]194076275.12634[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]2273451462.4222[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]770876782.27312[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]207175827.080466[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]52262439.375073[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]58018456.377382[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]3087277.267037[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]1948473765.28694[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]65171409.416724[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]46056801.81141[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]44133949.991704[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]30487600.891742[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]28382110.566347[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]478280600.418751[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]10979203.521406[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]23395812.627715[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]79682.021298[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]8418325.349333[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]4647812.079619[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]166225836.744888[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]9902746.610128[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]17486585.204299[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]2248919.688058[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]7209235.277044[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]151234.501011[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]85097251.273769[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]22939784.689867[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]19385900.473872[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]4297888.049609[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]9804995.865386[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]5328374.289823[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]483563.878693[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65637&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65637&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)4881755122.601
0.0278 (36)2337845417.44339
0.0417 (24)451013039.990254
0.0556 (18)428857403.370138
0.0694 (14.4)194076275.12634
0.0833 (12)2273451462.4222
0.0972 (10.2857)770876782.27312
0.1111 (9)207175827.080466
0.125 (8)52262439.375073
0.1389 (7.2)58018456.377382
0.1528 (6.5455)3087277.267037
0.1667 (6)1948473765.28694
0.1806 (5.5385)65171409.416724
0.1944 (5.1429)46056801.81141
0.2083 (4.8)44133949.991704
0.2222 (4.5)30487600.891742
0.2361 (4.2353)28382110.566347
0.25 (4)478280600.418751
0.2639 (3.7895)10979203.521406
0.2778 (3.6)23395812.627715
0.2917 (3.4286)79682.021298
0.3056 (3.2727)8418325.349333
0.3194 (3.1304)4647812.079619
0.3333 (3)166225836.744888
0.3472 (2.88)9902746.610128
0.3611 (2.7692)17486585.204299
0.375 (2.6667)2248919.688058
0.3889 (2.5714)7209235.277044
0.4028 (2.4828)151234.501011
0.4167 (2.4)85097251.273769
0.4306 (2.3226)22939784.689867
0.4444 (2.25)19385900.473872
0.4583 (2.1818)4297888.049609
0.4722 (2.1176)9804995.865386
0.4861 (2.0571)5328374.289823
0.5 (2)483563.878693


Figures (Output of Computation)

Input Parameters & R Code

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