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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 05:41:51 -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/t1259153091t9p17vyn4hlibc6.htm/, Retrieved Thu, 15 May 2025 01:41:12 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59359, Retrieved Thu, 15 May 2025 01:41:12 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact216

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 12:41:51] [4672b66a35a4d755714bdcf00037725e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
17409
11514
31514
27071
29462
26105
22397
23843
21705
18089
20764
25316
17704
15548
28029
29383
36438
32034
22679
24319
18004
17537
20366
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698
31956
29506
34506
27165
26736
23691
18157
17328
18205
20995
17382
9367

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59359&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]4 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=59359&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59359&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 time4 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
0.025 (40)19522392.275991
0.05 (20)26018311.751454
0.075 (13.3333)4975135.495487
0.1 (10)683837.082935
0.125 (8)67760464.281131
0.15 (6.6667)10846330.32442
0.175 (5.7143)1076141.760522
0.2 (5)12032946.384712
0.225 (4.4444)14664253.493106
0.25 (4)22920.175678
0.275 (3.6364)3106159.351434
0.3 (3.3333)2872136.362026
0.325 (3.0769)27472.760918
0.35 (2.8571)12955457.01304
0.375 (2.6667)3659778.764907
0.4 (2.5)2540155.453543
0.425 (2.3529)5685009.764864
0.45 (2.2222)10301474.968535
0.475 (2.1053)8437534.503478
0.5 (2)2407215.17465

\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
0.025 (40) & 19522392.275991 \tabularnewline
0.05 (20) & 26018311.751454 \tabularnewline
0.075 (13.3333) & 4975135.495487 \tabularnewline
0.1 (10) & 683837.082935 \tabularnewline
0.125 (8) & 67760464.281131 \tabularnewline
0.15 (6.6667) & 10846330.32442 \tabularnewline
0.175 (5.7143) & 1076141.760522 \tabularnewline
0.2 (5) & 12032946.384712 \tabularnewline
0.225 (4.4444) & 14664253.493106 \tabularnewline
0.25 (4) & 22920.175678 \tabularnewline
0.275 (3.6364) & 3106159.351434 \tabularnewline
0.3 (3.3333) & 2872136.362026 \tabularnewline
0.325 (3.0769) & 27472.760918 \tabularnewline
0.35 (2.8571) & 12955457.01304 \tabularnewline
0.375 (2.6667) & 3659778.764907 \tabularnewline
0.4 (2.5) & 2540155.453543 \tabularnewline
0.425 (2.3529) & 5685009.764864 \tabularnewline
0.45 (2.2222) & 10301474.968535 \tabularnewline
0.475 (2.1053) & 8437534.503478 \tabularnewline
0.5 (2) & 2407215.17465 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59359&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]0.025 (40)[/C][C]19522392.275991[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]26018311.751454[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]4975135.495487[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]683837.082935[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]67760464.281131[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]10846330.32442[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]1076141.760522[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]12032946.384712[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]14664253.493106[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]22920.175678[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]3106159.351434[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]2872136.362026[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]27472.760918[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]12955457.01304[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]3659778.764907[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]2540155.453543[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]5685009.764864[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]10301474.968535[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]8437534.503478[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2407215.17465[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59359&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59359&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
0.025 (40)19522392.275991
0.05 (20)26018311.751454
0.075 (13.3333)4975135.495487
0.1 (10)683837.082935
0.125 (8)67760464.281131
0.15 (6.6667)10846330.32442
0.175 (5.7143)1076141.760522
0.2 (5)12032946.384712
0.225 (4.4444)14664253.493106
0.25 (4)22920.175678
0.275 (3.6364)3106159.351434
0.3 (3.3333)2872136.362026
0.325 (3.0769)27472.760918
0.35 (2.8571)12955457.01304
0.375 (2.6667)3659778.764907
0.4 (2.5)2540155.453543
0.425 (2.3529)5685009.764864
0.45 (2.2222)10301474.968535
0.475 (2.1053)8437534.503478
0.5 (2)2407215.17465


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')