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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 computationMon, 19 Dec 2016 21:58:18 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/19/t1482181130l75ww40ym8zld5b.htm/, Retrieved Fri, 17 May 2024 12:46:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=301503, Retrieved Fri, 17 May 2024 12:46:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [N1010 spectral] [2016-12-19 20:58:18] [2e11ca31a00cf8de75c33c1af2d59434] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3894.5
3850
3823
4091
4145.5
4432.5
4245
4172
3815
3565.5
3560
3477.5
3597
3685.5
4012.5
4422
4548.5
4599
4675
4583
4755.5
5001
5113
5131
5336
5276
5431
5479
5550
5601.5
5681.5
6191.5
6433.5
6489.5
6609
6673
6877
6972
6993
7032
7125.5
7233
7109
6935.5

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301503&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=301503&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301503&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)2
Frequency (Period)Spectrum
0.0222 (45)14437.761571
0.0444 (22.5)14744.525008
0.0667 (15)82206.8936
0.0889 (11.25)48061.510837
0.1111 (9)189627.435906
0.1333 (7.5)12628.81981
0.1556 (6.4286)2738.545041
0.1778 (5.625)106391.059029
0.2 (5)153156.143072
0.2222 (4.5)38460.444481
0.2444 (4.0909)38494.10646
0.2667 (3.75)12896.941574
0.2889 (3.4615)49485.498776
0.3111 (3.2143)58366.442127
0.3333 (3)3113.299545
0.3556 (2.8125)27156.515495
0.3778 (2.6471)70236.064978
0.4 (2.5)223.753111
0.4222 (2.3684)37274.988191
0.4444 (2.25)355.229978
0.4667 (2.1429)2810.659141
0.4889 (2.0455)3343.416493

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 1 \tabularnewline
Degree of seasonal differencing (D) & 1 \tabularnewline
Seasonal Period (s) & 2 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0222 (45) & 14437.761571 \tabularnewline
0.0444 (22.5) & 14744.525008 \tabularnewline
0.0667 (15) & 82206.8936 \tabularnewline
0.0889 (11.25) & 48061.510837 \tabularnewline
0.1111 (9) & 189627.435906 \tabularnewline
0.1333 (7.5) & 12628.81981 \tabularnewline
0.1556 (6.4286) & 2738.545041 \tabularnewline
0.1778 (5.625) & 106391.059029 \tabularnewline
0.2 (5) & 153156.143072 \tabularnewline
0.2222 (4.5) & 38460.444481 \tabularnewline
0.2444 (4.0909) & 38494.10646 \tabularnewline
0.2667 (3.75) & 12896.941574 \tabularnewline
0.2889 (3.4615) & 49485.498776 \tabularnewline
0.3111 (3.2143) & 58366.442127 \tabularnewline
0.3333 (3) & 3113.299545 \tabularnewline
0.3556 (2.8125) & 27156.515495 \tabularnewline
0.3778 (2.6471) & 70236.064978 \tabularnewline
0.4 (2.5) & 223.753111 \tabularnewline
0.4222 (2.3684) & 37274.988191 \tabularnewline
0.4444 (2.25) & 355.229978 \tabularnewline
0.4667 (2.1429) & 2810.659141 \tabularnewline
0.4889 (2.0455) & 3343.416493 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=301503&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]1[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]2[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]14437.761571[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]14744.525008[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]82206.8936[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]48061.510837[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]189627.435906[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]12628.81981[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]2738.545041[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]106391.059029[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]153156.143072[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]38460.444481[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]38494.10646[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]12896.941574[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]49485.498776[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]58366.442127[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]3113.299545[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]27156.515495[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]70236.064978[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]223.753111[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]37274.988191[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]355.229978[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]2810.659141[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]3343.416493[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=301503&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=301503&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)1
Degree of seasonal differencing (D)1
Seasonal Period (s)2
Frequency (Period)Spectrum
0.0222 (45)14437.761571
0.0444 (22.5)14744.525008
0.0667 (15)82206.8936
0.0889 (11.25)48061.510837
0.1111 (9)189627.435906
0.1333 (7.5)12628.81981
0.1556 (6.4286)2738.545041
0.1778 (5.625)106391.059029
0.2 (5)153156.143072
0.2222 (4.5)38460.444481
0.2444 (4.0909)38494.10646
0.2667 (3.75)12896.941574
0.2889 (3.4615)49485.498776
0.3111 (3.2143)58366.442127
0.3333 (3)3113.299545
0.3556 (2.8125)27156.515495
0.3778 (2.6471)70236.064978
0.4 (2.5)223.753111
0.4222 (2.3684)37274.988191
0.4444 (2.25)355.229978
0.4667 (2.1429)2810.659141
0.4889 (2.0455)3343.416493


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 2 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- '1'
par2 <- '1'
par1 <- '1'
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')