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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, 07 Dec 2016 19:19:57 +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/07/t14811348318xfrvwhzgazu79g.htm/, Retrieved Tue, 07 May 2024 23:41:27 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=298280, Retrieved Tue, 07 May 2024 23:41:27 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [N1316] [2016-12-07 18:19:57] [85f5800284aab30c091766186b093bb4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4440
4835
4055
3645
3425
3350
3670
5130
5930
6185
6240
5790
5475
5561.65
8031.65
8961.65
8045
7588.35
8200
7290
6661.65
6385
6268.35
6248.35
6165
6196.65
6050
5705
5530
5311.65
5145
4855
4556.65
4356.65
3823.35
3570
3735
4191.65
3990
3705
4065
3766.65
3666.65
3681.65
3931.65
4268.35
4291.65
4530
5053.35
4996.65
4913.35
4935
4848.35
4788.35
4771.65
4643.35
4778
4983.35
4953.35
5581.65
5185
5746.65
4240
4095

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298280&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=298280&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298280&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 time1 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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)0
0.0312 (32)0
0.0469 (21.3333)0
0.0625 (16)0
0.0781 (12.8)0
0.0938 (10.6667)0
0.1094 (9.1429)0
0.125 (8)0
0.1406 (7.1111)0
0.1562 (6.4)0
0.1719 (5.8182)0
0.1875 (5.3333)0
0.2031 (4.9231)0
0.2188 (4.5714)0
0.2344 (4.2667)0
0.25 (4)0
0.2656 (3.7647)0
0.2812 (3.5556)0
0.2969 (3.3684)0
0.3125 (3.2)0
0.3281 (3.0476)0
0.3438 (2.9091)0
0.3594 (2.7826)0
0.375 (2.6667)0
0.3906 (2.56)0
0.4062 (2.4615)0
0.4219 (2.3704)0
0.4375 (2.2857)0
0.4531 (2.2069)0
0.4688 (2.1333)0
0.4844 (2.0645)0
0.5 (2)0

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0156 (64) & 0 \tabularnewline
0.0312 (32) & 0 \tabularnewline
0.0469 (21.3333) & 0 \tabularnewline
0.0625 (16) & 0 \tabularnewline
0.0781 (12.8) & 0 \tabularnewline
0.0938 (10.6667) & 0 \tabularnewline
0.1094 (9.1429) & 0 \tabularnewline
0.125 (8) & 0 \tabularnewline
0.1406 (7.1111) & 0 \tabularnewline
0.1562 (6.4) & 0 \tabularnewline
0.1719 (5.8182) & 0 \tabularnewline
0.1875 (5.3333) & 0 \tabularnewline
0.2031 (4.9231) & 0 \tabularnewline
0.2188 (4.5714) & 0 \tabularnewline
0.2344 (4.2667) & 0 \tabularnewline
0.25 (4) & 0 \tabularnewline
0.2656 (3.7647) & 0 \tabularnewline
0.2812 (3.5556) & 0 \tabularnewline
0.2969 (3.3684) & 0 \tabularnewline
0.3125 (3.2) & 0 \tabularnewline
0.3281 (3.0476) & 0 \tabularnewline
0.3438 (2.9091) & 0 \tabularnewline
0.3594 (2.7826) & 0 \tabularnewline
0.375 (2.6667) & 0 \tabularnewline
0.3906 (2.56) & 0 \tabularnewline
0.4062 (2.4615) & 0 \tabularnewline
0.4219 (2.3704) & 0 \tabularnewline
0.4375 (2.2857) & 0 \tabularnewline
0.4531 (2.2069) & 0 \tabularnewline
0.4688 (2.1333) & 0 \tabularnewline
0.4844 (2.0645) & 0 \tabularnewline
0.5 (2) & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=298280&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0156 (64)[/C][C]0[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]0[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]0[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]0[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]0[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]0[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]0[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]0[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]0[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]0[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]0[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]0[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]0[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]0[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]0[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]0[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]0[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]0[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]0[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]0[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]0[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]0[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]0[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]0[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]0[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]0[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]0[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]0[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]0[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]0[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]0[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=298280&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=298280&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)0
0.0312 (32)0
0.0469 (21.3333)0
0.0625 (16)0
0.0781 (12.8)0
0.0938 (10.6667)0
0.1094 (9.1429)0
0.125 (8)0
0.1406 (7.1111)0
0.1562 (6.4)0
0.1719 (5.8182)0
0.1875 (5.3333)0
0.2031 (4.9231)0
0.2188 (4.5714)0
0.2344 (4.2667)0
0.25 (4)0
0.2656 (3.7647)0
0.2812 (3.5556)0
0.2969 (3.3684)0
0.3125 (3.2)0
0.3281 (3.0476)0
0.3438 (2.9091)0
0.3594 (2.7826)0
0.375 (2.6667)0
0.3906 (2.56)0
0.4062 (2.4615)0
0.4219 (2.3704)0
0.4375 (2.2857)0
0.4531 (2.2069)0
0.4688 (2.1333)0
0.4844 (2.0645)0
0.5 (2)0


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = -1.0 ; par2 = 1 ; par3 = 0 ; par4 = 1 ;
Parameters (R input):
par1 = -1.0 ; par2 = 1 ; 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')