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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, 26 Nov 2009 03:24:58 -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/26/t1259231142fem6rrr9uyrnvrq.htm/, Retrieved Sun, 28 Apr 2024 23:40:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59785, Retrieved Sun, 28 Apr 2024 23:40:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact113

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] [Spectrum met d=0,...] [2009-11-26 10:24:58] [371dc2189c569d90e2c1567f632c3ec0] [Current]
-    D            [Spectral Analysis] [Spectrum met d=0,...] [2009-12-04 13:34:20] [34d27ebe78dc2d31581e8710befe8733]
-   P             [Spectral Analysis] [Spectrum met d=1,...] [2009-12-19 16:26:55] [34d27ebe78dc2d31581e8710befe8733]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1919
1911
1870
2263
1802
1863
1989
2197
2409
2502
2593
2598
2053
2213
2238
2359
2151
2474
3079
2312
2565
1972
2484
2202
2151
1976
2012
2114
1772
1957
2070
1990
2182
2008
1916
2397
2114
1778
1641
2186
1773
1785
2217
2153
1895
2475
1793
2308
2051
1898
2142
1874
1560
1808
1575
1525
1997
1753
1623
2251
1890

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=59785&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=59785&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59785&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
0.02 (50)396201.174342
0.04 (25)834861.482883
0.06 (16.6667)163841.630171
0.08 (12.5)3798.977581
0.1 (10)78608.446131
0.12 (8.3333)440704.801719
0.14 (7.1429)40264.672396
0.16 (6.25)51685.129052
0.18 (5.5556)53167.959301
0.2 (5)14850.900644
0.22 (4.5455)125470.363654
0.24 (4.1667)24646.046983
0.26 (3.8462)8030.192525
0.28 (3.5714)231720.529964
0.3 (3.3333)104422.026058
0.32 (3.125)34985.649555
0.34 (2.9412)75006.608787
0.36 (2.7778)131782.693211
0.38 (2.6316)102892.931008
0.4 (2.5)77227.547679
0.42 (2.381)4064.660566
0.44 (2.2727)155870.155911
0.46 (2.1739)70370.083539
0.48 (2.0833)291319.620279
0.5 (2)6642.191238

\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
0.02 (50) & 396201.174342 \tabularnewline
0.04 (25) & 834861.482883 \tabularnewline
0.06 (16.6667) & 163841.630171 \tabularnewline
0.08 (12.5) & 3798.977581 \tabularnewline
0.1 (10) & 78608.446131 \tabularnewline
0.12 (8.3333) & 440704.801719 \tabularnewline
0.14 (7.1429) & 40264.672396 \tabularnewline
0.16 (6.25) & 51685.129052 \tabularnewline
0.18 (5.5556) & 53167.959301 \tabularnewline
0.2 (5) & 14850.900644 \tabularnewline
0.22 (4.5455) & 125470.363654 \tabularnewline
0.24 (4.1667) & 24646.046983 \tabularnewline
0.26 (3.8462) & 8030.192525 \tabularnewline
0.28 (3.5714) & 231720.529964 \tabularnewline
0.3 (3.3333) & 104422.026058 \tabularnewline
0.32 (3.125) & 34985.649555 \tabularnewline
0.34 (2.9412) & 75006.608787 \tabularnewline
0.36 (2.7778) & 131782.693211 \tabularnewline
0.38 (2.6316) & 102892.931008 \tabularnewline
0.4 (2.5) & 77227.547679 \tabularnewline
0.42 (2.381) & 4064.660566 \tabularnewline
0.44 (2.2727) & 155870.155911 \tabularnewline
0.46 (2.1739) & 70370.083539 \tabularnewline
0.48 (2.0833) & 291319.620279 \tabularnewline
0.5 (2) & 6642.191238 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59785&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]0.02 (50)[/C][C]396201.174342[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]834861.482883[/C][/ROW]
[ROW][C]0.06 (16.6667)[/C][C]163841.630171[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]3798.977581[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]78608.446131[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]440704.801719[/C][/ROW]
[ROW][C]0.14 (7.1429)[/C][C]40264.672396[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]51685.129052[/C][/ROW]
[ROW][C]0.18 (5.5556)[/C][C]53167.959301[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]14850.900644[/C][/ROW]
[ROW][C]0.22 (4.5455)[/C][C]125470.363654[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]24646.046983[/C][/ROW]
[ROW][C]0.26 (3.8462)[/C][C]8030.192525[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]231720.529964[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]104422.026058[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]34985.649555[/C][/ROW]
[ROW][C]0.34 (2.9412)[/C][C]75006.608787[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]131782.693211[/C][/ROW]
[ROW][C]0.38 (2.6316)[/C][C]102892.931008[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]77227.547679[/C][/ROW]
[ROW][C]0.42 (2.381)[/C][C]4064.660566[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]155870.155911[/C][/ROW]
[ROW][C]0.46 (2.1739)[/C][C]70370.083539[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]291319.620279[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]6642.191238[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59785&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59785&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
0.02 (50)396201.174342
0.04 (25)834861.482883
0.06 (16.6667)163841.630171
0.08 (12.5)3798.977581
0.1 (10)78608.446131
0.12 (8.3333)440704.801719
0.14 (7.1429)40264.672396
0.16 (6.25)51685.129052
0.18 (5.5556)53167.959301
0.2 (5)14850.900644
0.22 (4.5455)125470.363654
0.24 (4.1667)24646.046983
0.26 (3.8462)8030.192525
0.28 (3.5714)231720.529964
0.3 (3.3333)104422.026058
0.32 (3.125)34985.649555
0.34 (2.9412)75006.608787
0.36 (2.7778)131782.693211
0.38 (2.6316)102892.931008
0.4 (2.5)77227.547679
0.42 (2.381)4064.660566
0.44 (2.2727)155870.155911
0.46 (2.1739)70370.083539
0.48 (2.0833)291319.620279
0.5 (2)6642.191238


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')