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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationSat, 06 Dec 2008 06:43:43 -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/2008/Dec/06/t12285710500yhghbxsqcqm3iq.htm/, Retrieved Sun, 19 May 2024 08:45:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29597, Retrieved Sun, 19 May 2024 08:45:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact204

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Airline data] [2007-10-18 09:58:47] [42daae401fd3def69a25014f2252b4c2]
F RMPD  [Spectral Analysis] [spectral analysis] [2008-12-02 17:36:41] [415d0222c17b651a9576eaac006f530d]
F RMPD    [(Partial) Autocorrelation Function] [autocorrelatie] [2008-12-02 18:15:51] [415d0222c17b651a9576eaac006f530d]
- RMPD        [Spectral Analysis] [] [2008-12-06 13:43:43] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
11.836
11.85
11.897
12.082
11.936
11.928
12.646
12.747
12.447
12.445
12.257
12.878
13.69
13.665
13.78
13.608
13.375
13.376
13.918
14.304
13.877
14.543
14.291
14.788
15.241
15.265
15.322
15.175
14.817
14.579
15.247
15.385
14.891
14.766
14.42
14.85
15.117
15.352
15.099
15.291
15.208
14.995
15.454
15.251
14.975
14.005
13.55
13.422
13.848
13.376
13.038
12.974
12.554
11.971
12.916
12.757
11.924
11.693
11.382
11.821

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=29597&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=29597&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29597&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)28.074102
0.0333 (30)0.41788
0.05 (20)2.587284
0.0667 (15)1.709045
0.0833 (12)0.484269
0.1 (10)0.145736
0.1167 (8.5714)0.239777
0.1333 (7.5)0.132493
0.15 (6.6667)0.029768
0.1667 (6)1.355362
0.1833 (5.4545)0.010859
0.2 (5)0.013361
0.2167 (4.6154)0.077457
0.2333 (4.2857)0.00101
0.25 (4)0.200264
0.2667 (3.75)0.039194
0.2833 (3.5294)0.046941
0.3 (3.3333)0.036817
0.3167 (3.1579)0.00056
0.3333 (3)0.309972
0.35 (2.8571)0.008063
0.3667 (2.7273)0.00306
0.3833 (2.6087)0.000119
0.4 (2.5)0.036192
0.4167 (2.4)0.063179
0.4333 (2.3077)0.046305
0.45 (2.2222)0.033935
0.4667 (2.1429)0.009835
0.4833 (2.069)0.042155
0.5 (2)0.000922

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 28.074102 \tabularnewline
0.0333 (30) & 0.41788 \tabularnewline
0.05 (20) & 2.587284 \tabularnewline
0.0667 (15) & 1.709045 \tabularnewline
0.0833 (12) & 0.484269 \tabularnewline
0.1 (10) & 0.145736 \tabularnewline
0.1167 (8.5714) & 0.239777 \tabularnewline
0.1333 (7.5) & 0.132493 \tabularnewline
0.15 (6.6667) & 0.029768 \tabularnewline
0.1667 (6) & 1.355362 \tabularnewline
0.1833 (5.4545) & 0.010859 \tabularnewline
0.2 (5) & 0.013361 \tabularnewline
0.2167 (4.6154) & 0.077457 \tabularnewline
0.2333 (4.2857) & 0.00101 \tabularnewline
0.25 (4) & 0.200264 \tabularnewline
0.2667 (3.75) & 0.039194 \tabularnewline
0.2833 (3.5294) & 0.046941 \tabularnewline
0.3 (3.3333) & 0.036817 \tabularnewline
0.3167 (3.1579) & 0.00056 \tabularnewline
0.3333 (3) & 0.309972 \tabularnewline
0.35 (2.8571) & 0.008063 \tabularnewline
0.3667 (2.7273) & 0.00306 \tabularnewline
0.3833 (2.6087) & 0.000119 \tabularnewline
0.4 (2.5) & 0.036192 \tabularnewline
0.4167 (2.4) & 0.063179 \tabularnewline
0.4333 (2.3077) & 0.046305 \tabularnewline
0.45 (2.2222) & 0.033935 \tabularnewline
0.4667 (2.1429) & 0.009835 \tabularnewline
0.4833 (2.069) & 0.042155 \tabularnewline
0.5 (2) & 0.000922 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29597&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]28.074102[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]0.41788[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]2.587284[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]1.709045[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]0.484269[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]0.145736[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]0.239777[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]0.132493[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]0.029768[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]1.355362[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]0.010859[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]0.013361[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]0.077457[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]0.00101[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]0.200264[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]0.039194[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]0.046941[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]0.036817[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]0.00056[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0.309972[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]0.008063[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]0.00306[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]0.000119[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]0.036192[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]0.063179[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]0.046305[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]0.033935[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]0.009835[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]0.042155[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.000922[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29597&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29597&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)28.074102
0.0333 (30)0.41788
0.05 (20)2.587284
0.0667 (15)1.709045
0.0833 (12)0.484269
0.1 (10)0.145736
0.1167 (8.5714)0.239777
0.1333 (7.5)0.132493
0.15 (6.6667)0.029768
0.1667 (6)1.355362
0.1833 (5.4545)0.010859
0.2 (5)0.013361
0.2167 (4.6154)0.077457
0.2333 (4.2857)0.00101
0.25 (4)0.200264
0.2667 (3.75)0.039194
0.2833 (3.5294)0.046941
0.3 (3.3333)0.036817
0.3167 (3.1579)0.00056
0.3333 (3)0.309972
0.35 (2.8571)0.008063
0.3667 (2.7273)0.00306
0.3833 (2.6087)0.000119
0.4 (2.5)0.036192
0.4167 (2.4)0.063179
0.4333 (2.3077)0.046305
0.45 (2.2222)0.033935
0.4667 (2.1429)0.009835
0.4833 (2.069)0.042155
0.5 (2)0.000922


Figures (Output of Computation)

Input Parameters & R Code

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