Free Statistics

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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationTue, 24 Nov 2009 09:38:04 -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/24/t125908081576w2sg5g1b2zqpc.htm/, Retrieved Sun, 03 Dec 2023 06:50:49 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59155, Retrieved Sun, 03 Dec 2023 06:50:49 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149
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] [Spectrumanalyse D=1] [2009-11-24 16:38:04] [2622964eb3e61db9b0dfd11950e3a18c] [Current]
- R P             [Spectral Analysis] [Spectrumanalyse m...] [2009-11-25 20:54:56] [e2a6b1b31bd881219e1879835b4c60d0]
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Dataseries X:
5560
3922
3759
4138
4634
3996
4308
4429
5219
4929
5755
5592
4163
4962
5208
4755
4491
5732
5731
5040
6102
4904
5369
5578
4619
4731
5011
5299
4146
4625
4736
4219
5116
4205
4121
5103
4300
4578
3809
5526
4247
3830
4394
4826
4409
4569
4106
4794
3914
3793
4405
4022
4100
4788
3163
3585
3903
4178
3863
4187




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=59155&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=59155&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59155&T=0

As an alternative you can also use a 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)1813001.352503
0.0417 (24)2014280.366021
0.0625 (16)11070.392666
0.0833 (12)222131.784344
0.1042 (9.6)335068.853696
0.125 (8)325863.74678
0.1458 (6.8571)349143.030671
0.1667 (6)646.545525
0.1875 (5.3333)34067.693097
0.2083 (4.8)189278.944491
0.2292 (4.3636)966627.539222
0.25 (4)49053.059869
0.2708 (3.6923)699761.128493
0.2917 (3.4286)198443.102512
0.3125 (3.2)2186131.694536
0.3333 (3)144928.10439
0.3542 (2.8235)209714.437556
0.375 (2.6667)252641.97577
0.3958 (2.5263)947816.859057
0.4167 (2.4)162786.303071
0.4375 (2.2857)58530.479412
0.4583 (2.1818)276737.836089
0.4792 (2.087)122397.051806
0.5 (2)123053.712475

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0208 (48) & 1813001.352503 \tabularnewline
0.0417 (24) & 2014280.366021 \tabularnewline
0.0625 (16) & 11070.392666 \tabularnewline
0.0833 (12) & 222131.784344 \tabularnewline
0.1042 (9.6) & 335068.853696 \tabularnewline
0.125 (8) & 325863.74678 \tabularnewline
0.1458 (6.8571) & 349143.030671 \tabularnewline
0.1667 (6) & 646.545525 \tabularnewline
0.1875 (5.3333) & 34067.693097 \tabularnewline
0.2083 (4.8) & 189278.944491 \tabularnewline
0.2292 (4.3636) & 966627.539222 \tabularnewline
0.25 (4) & 49053.059869 \tabularnewline
0.2708 (3.6923) & 699761.128493 \tabularnewline
0.2917 (3.4286) & 198443.102512 \tabularnewline
0.3125 (3.2) & 2186131.694536 \tabularnewline
0.3333 (3) & 144928.10439 \tabularnewline
0.3542 (2.8235) & 209714.437556 \tabularnewline
0.375 (2.6667) & 252641.97577 \tabularnewline
0.3958 (2.5263) & 947816.859057 \tabularnewline
0.4167 (2.4) & 162786.303071 \tabularnewline
0.4375 (2.2857) & 58530.479412 \tabularnewline
0.4583 (2.1818) & 276737.836089 \tabularnewline
0.4792 (2.087) & 122397.051806 \tabularnewline
0.5 (2) & 123053.712475 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59155&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]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]1813001.352503[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]2014280.366021[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]11070.392666[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]222131.784344[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]335068.853696[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]325863.74678[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]349143.030671[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]646.545525[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]34067.693097[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]189278.944491[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]966627.539222[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]49053.059869[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]699761.128493[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]198443.102512[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]2186131.694536[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]144928.10439[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]209714.437556[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]252641.97577[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]947816.859057[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]162786.303071[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]58530.479412[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]276737.836089[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]122397.051806[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]123053.712475[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59155&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59155&T=1

As an alternative you can also use a 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)1813001.352503
0.0417 (24)2014280.366021
0.0625 (16)11070.392666
0.0833 (12)222131.784344
0.1042 (9.6)335068.853696
0.125 (8)325863.74678
0.1458 (6.8571)349143.030671
0.1667 (6)646.545525
0.1875 (5.3333)34067.693097
0.2083 (4.8)189278.944491
0.2292 (4.3636)966627.539222
0.25 (4)49053.059869
0.2708 (3.6923)699761.128493
0.2917 (3.4286)198443.102512
0.3125 (3.2)2186131.694536
0.3333 (3)144928.10439
0.3542 (2.8235)209714.437556
0.375 (2.6667)252641.97577
0.3958 (2.5263)947816.859057
0.4167 (2.4)162786.303071
0.4375 (2.2857)58530.479412
0.4583 (2.1818)276737.836089
0.4792 (2.087)122397.051806
0.5 (2)123053.712475



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