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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 computationWed, 25 Nov 2009 01:32:31 -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/25/t125913801839wzoraa7idncxd.htm/, Retrieved Thu, 15 May 2025 02:10:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59303, Retrieved Thu, 15 May 2025 02:10:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact266

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] [] [2009-11-25 08:32:31] [ed082d38031561faed979d8cebfeba4d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
285
574
865
1147
1516
1789
2087
2372
2669
2966
3270
3652
329
658
988
1303
1603
1929
2235
2544
2872
3198
3544
3903
332
665
1001
1329
1639
1975
2304
2640
2992
3330
3690
4063
368
738
1103
1474
1846
2224
2608
2984
3351
3736
4122
4558
378
749
1113
1500
1867
2244
2621
2988
3349
3723
4108
4514

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=59303&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=59303&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59303&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)53600.660837
0.0417 (24)163103.674969
0.0625 (16)24672.687067
0.0833 (12)83603.716375
0.1042 (9.6)3812.241763
0.125 (8)16318.361487
0.1458 (6.8571)3962.926147
0.1667 (6)21658.487564
0.1875 (5.3333)673.473184
0.2083 (4.8)6301.940027
0.2292 (4.3636)834.01148
0.25 (4)12643.468556
0.2708 (3.6923)503.298408
0.2917 (3.4286)2721.427113
0.3125 (3.2)1377.452834
0.3333 (3)5524.566801
0.3542 (2.8235)281.912748
0.375 (2.6667)3016.356169
0.3958 (2.5263)1421.183739
0.4167 (2.4)4372.402293
0.4375 (2.2857)1560.406439
0.4583 (2.1818)2113.304791
0.4792 (2.087)559.64558
0.5 (2)6561.565962

\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) & 53600.660837 \tabularnewline
0.0417 (24) & 163103.674969 \tabularnewline
0.0625 (16) & 24672.687067 \tabularnewline
0.0833 (12) & 83603.716375 \tabularnewline
0.1042 (9.6) & 3812.241763 \tabularnewline
0.125 (8) & 16318.361487 \tabularnewline
0.1458 (6.8571) & 3962.926147 \tabularnewline
0.1667 (6) & 21658.487564 \tabularnewline
0.1875 (5.3333) & 673.473184 \tabularnewline
0.2083 (4.8) & 6301.940027 \tabularnewline
0.2292 (4.3636) & 834.01148 \tabularnewline
0.25 (4) & 12643.468556 \tabularnewline
0.2708 (3.6923) & 503.298408 \tabularnewline
0.2917 (3.4286) & 2721.427113 \tabularnewline
0.3125 (3.2) & 1377.452834 \tabularnewline
0.3333 (3) & 5524.566801 \tabularnewline
0.3542 (2.8235) & 281.912748 \tabularnewline
0.375 (2.6667) & 3016.356169 \tabularnewline
0.3958 (2.5263) & 1421.183739 \tabularnewline
0.4167 (2.4) & 4372.402293 \tabularnewline
0.4375 (2.2857) & 1560.406439 \tabularnewline
0.4583 (2.1818) & 2113.304791 \tabularnewline
0.4792 (2.087) & 559.64558 \tabularnewline
0.5 (2) & 6561.565962 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59303&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]53600.660837[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]163103.674969[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]24672.687067[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]83603.716375[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]3812.241763[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]16318.361487[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]3962.926147[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]21658.487564[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]673.473184[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]6301.940027[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]834.01148[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]12643.468556[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]503.298408[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]2721.427113[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]1377.452834[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]5524.566801[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]281.912748[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]3016.356169[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]1421.183739[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]4372.402293[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]1560.406439[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]2113.304791[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]559.64558[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]6561.565962[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59303&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59303&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)53600.660837
0.0417 (24)163103.674969
0.0625 (16)24672.687067
0.0833 (12)83603.716375
0.1042 (9.6)3812.241763
0.125 (8)16318.361487
0.1458 (6.8571)3962.926147
0.1667 (6)21658.487564
0.1875 (5.3333)673.473184
0.2083 (4.8)6301.940027
0.2292 (4.3636)834.01148
0.25 (4)12643.468556
0.2708 (3.6923)503.298408
0.2917 (3.4286)2721.427113
0.3125 (3.2)1377.452834
0.3333 (3)5524.566801
0.3542 (2.8235)281.912748
0.375 (2.6667)3016.356169
0.3958 (2.5263)1421.183739
0.4167 (2.4)4372.402293
0.4375 (2.2857)1560.406439
0.4583 (2.1818)2113.304791
0.4792 (2.087)559.64558
0.5 (2)6561.565962


Figures (Output of Computation)

Input Parameters & R Code

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')