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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 computationFri, 27 Nov 2009 05:56:15 -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/27/t12593266513u2fg3miee20l6y.htm/, Retrieved Sun, 28 Apr 2024 20:37:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60685, Retrieved Sun, 28 Apr 2024 20:37:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsspectrum110
Estimated Impact120

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]
-   PD        [Spectral Analysis] [] [2009-11-27 12:49:06] [4f76e114ed5e444b1133aad392380aad]
-   P             [Spectral Analysis] [] [2009-11-27 12:56:15] [9002751dd674b8c934bf183fdf4510e9] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106370
109375
116476
123297
114813
117925
126466
131235
120546
123791
129813
133463
122987
125418
130199
133016
121454
122044
128313
131556
120027
123001
130111
132524
123742
124931
133646
136557
127509
128945
137191
139716
129083
131604
139413
143125
133948
137116
144864
149277
138796
143258
150034
154708
144888
148762
156500
161088
152772
158011
163318
169969
162269
165765
170600
174681
166364
170240
176150
182056
172218
177856
182253
188090
176863
183273
187969
194650
183036
189516
193805
200499
188142
193732
197126
205140
191751
196700
199784
207360
196101
200824
205743
212489
200810
203683
207286
210910
194915
217920

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=60685&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=60685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60685&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)4
Frequency (Period)Spectrum
0.0111 (90)105609335.290469
0.0222 (45)47481360.314868
0.0333 (30)16393838.710604
0.0444 (22.5)26458963.288297
0.0556 (18)12802536.836997
0.0667 (15)16872027.206654
0.0778 (12.8571)4906430.145723
0.0889 (11.25)6123206.737762
0.1 (10)5382611.191263
0.1111 (9)90979.567926
0.1222 (8.1818)707702.789701
0.1333 (7.5)9029847.339229
0.1444 (6.9231)877691.022893
0.1556 (6.4286)91472.830515
0.1667 (6)252096.632668
0.1778 (5.625)1154579.594897
0.1889 (5.2941)6424.187518
0.2 (5)243262.901054
0.2111 (4.7368)422452.567905
0.2222 (4.5)799735.49155
0.2333 (4.2857)175416.718608
0.2444 (4.0909)1889.331374
0.2556 (3.913)97564.312946
0.2667 (3.75)127093.579316
0.2778 (3.6)139020.524721
0.2889 (3.4615)301285.955162
0.3 (3.3333)575894.717623
0.3111 (3.2143)24591.945032
0.3222 (3.1034)855676.763936
0.3333 (3)1104219.540453
0.3444 (2.9032)270706.151571
0.3556 (2.8125)884117.687336
0.3667 (2.7273)224469.436244
0.3778 (2.6471)375879.577944
0.3889 (2.5714)899802.036726
0.4 (2.5)1507010.887975
0.4111 (2.4324)1096979.838184
0.4222 (2.3684)517549.506268
0.4333 (2.3077)487375.346445
0.4444 (2.25)58695.18861
0.4556 (2.1951)45389.091245
0.4667 (2.1429)1570022.616744
0.4778 (2.093)49275.407007
0.4889 (2.0455)624381.670817
0.5 (2)193327.124526

\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) & 4 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0111 (90) & 105609335.290469 \tabularnewline
0.0222 (45) & 47481360.314868 \tabularnewline
0.0333 (30) & 16393838.710604 \tabularnewline
0.0444 (22.5) & 26458963.288297 \tabularnewline
0.0556 (18) & 12802536.836997 \tabularnewline
0.0667 (15) & 16872027.206654 \tabularnewline
0.0778 (12.8571) & 4906430.145723 \tabularnewline
0.0889 (11.25) & 6123206.737762 \tabularnewline
0.1 (10) & 5382611.191263 \tabularnewline
0.1111 (9) & 90979.567926 \tabularnewline
0.1222 (8.1818) & 707702.789701 \tabularnewline
0.1333 (7.5) & 9029847.339229 \tabularnewline
0.1444 (6.9231) & 877691.022893 \tabularnewline
0.1556 (6.4286) & 91472.830515 \tabularnewline
0.1667 (6) & 252096.632668 \tabularnewline
0.1778 (5.625) & 1154579.594897 \tabularnewline
0.1889 (5.2941) & 6424.187518 \tabularnewline
0.2 (5) & 243262.901054 \tabularnewline
0.2111 (4.7368) & 422452.567905 \tabularnewline
0.2222 (4.5) & 799735.49155 \tabularnewline
0.2333 (4.2857) & 175416.718608 \tabularnewline
0.2444 (4.0909) & 1889.331374 \tabularnewline
0.2556 (3.913) & 97564.312946 \tabularnewline
0.2667 (3.75) & 127093.579316 \tabularnewline
0.2778 (3.6) & 139020.524721 \tabularnewline
0.2889 (3.4615) & 301285.955162 \tabularnewline
0.3 (3.3333) & 575894.717623 \tabularnewline
0.3111 (3.2143) & 24591.945032 \tabularnewline
0.3222 (3.1034) & 855676.763936 \tabularnewline
0.3333 (3) & 1104219.540453 \tabularnewline
0.3444 (2.9032) & 270706.151571 \tabularnewline
0.3556 (2.8125) & 884117.687336 \tabularnewline
0.3667 (2.7273) & 224469.436244 \tabularnewline
0.3778 (2.6471) & 375879.577944 \tabularnewline
0.3889 (2.5714) & 899802.036726 \tabularnewline
0.4 (2.5) & 1507010.887975 \tabularnewline
0.4111 (2.4324) & 1096979.838184 \tabularnewline
0.4222 (2.3684) & 517549.506268 \tabularnewline
0.4333 (2.3077) & 487375.346445 \tabularnewline
0.4444 (2.25) & 58695.18861 \tabularnewline
0.4556 (2.1951) & 45389.091245 \tabularnewline
0.4667 (2.1429) & 1570022.616744 \tabularnewline
0.4778 (2.093) & 49275.407007 \tabularnewline
0.4889 (2.0455) & 624381.670817 \tabularnewline
0.5 (2) & 193327.124526 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60685&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]4[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]105609335.290469[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]47481360.314868[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]16393838.710604[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]26458963.288297[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]12802536.836997[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]16872027.206654[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]4906430.145723[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]6123206.737762[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]5382611.191263[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]90979.567926[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]707702.789701[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]9029847.339229[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]877691.022893[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]91472.830515[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]252096.632668[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]1154579.594897[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]6424.187518[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]243262.901054[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]422452.567905[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]799735.49155[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]175416.718608[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]1889.331374[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]97564.312946[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]127093.579316[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]139020.524721[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]301285.955162[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]575894.717623[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]24591.945032[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]855676.763936[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1104219.540453[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]270706.151571[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]884117.687336[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]224469.436244[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]375879.577944[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]899802.036726[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]1507010.887975[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]1096979.838184[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]517549.506268[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]487375.346445[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]58695.18861[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]45389.091245[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]1570022.616744[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]49275.407007[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]624381.670817[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]193327.124526[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60685&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)4
Frequency (Period)Spectrum
0.0111 (90)105609335.290469
0.0222 (45)47481360.314868
0.0333 (30)16393838.710604
0.0444 (22.5)26458963.288297
0.0556 (18)12802536.836997
0.0667 (15)16872027.206654
0.0778 (12.8571)4906430.145723
0.0889 (11.25)6123206.737762
0.1 (10)5382611.191263
0.1111 (9)90979.567926
0.1222 (8.1818)707702.789701
0.1333 (7.5)9029847.339229
0.1444 (6.9231)877691.022893
0.1556 (6.4286)91472.830515
0.1667 (6)252096.632668
0.1778 (5.625)1154579.594897
0.1889 (5.2941)6424.187518
0.2 (5)243262.901054
0.2111 (4.7368)422452.567905
0.2222 (4.5)799735.49155
0.2333 (4.2857)175416.718608
0.2444 (4.0909)1889.331374
0.2556 (3.913)97564.312946
0.2667 (3.75)127093.579316
0.2778 (3.6)139020.524721
0.2889 (3.4615)301285.955162
0.3 (3.3333)575894.717623
0.3111 (3.2143)24591.945032
0.3222 (3.1034)855676.763936
0.3333 (3)1104219.540453
0.3444 (2.9032)270706.151571
0.3556 (2.8125)884117.687336
0.3667 (2.7273)224469.436244
0.3778 (2.6471)375879.577944
0.3889 (2.5714)899802.036726
0.4 (2.5)1507010.887975
0.4111 (2.4324)1096979.838184
0.4222 (2.3684)517549.506268
0.4333 (2.3077)487375.346445
0.4444 (2.25)58695.18861
0.4556 (2.1951)45389.091245
0.4667 (2.1429)1570022.616744
0.4778 (2.093)49275.407007
0.4889 (2.0455)624381.670817
0.5 (2)193327.124526


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 4 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 4 ;
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')