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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_spectrum.wasp

Title produced by software

Spectral Analysis

Date of computation

Mon, 08 Dec 2008 12:05:17 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/08/t1228763158czcv23hgme3lp8l.htm/, Retrieved Thu, 16 May 2024 13:25:01 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=30736, Retrieved Thu, 16 May 2024 13:25:01 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

156

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMPD    [Spectral Analysis] [S2 - SA] [2008-12-08 19:05:17] [5f3e73ccf1ddc75508eed47fa51813d3] [Current]

Feedback Forum

2008-12-14 12:54:24 [Jeroen Michel] [reply] 
Zoals de student stelt is er met voorgaande grafiek/berekening wel een gelijkaardig patroon op te tekenen, maar de LT-trend en seizoenaliteit zijn eruit gefilterd waardoor we kleinere treden opmerken op de grafiek.
2008-12-14 14:27:45 [Nathalie Koulouris] [reply] 
De student heeft deze vraag opnieuw correct opgelost en geeft telkens een goede toelichting.

Post a new message

Dataseries X:

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30736&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30736&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30736&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	3 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	-1
Degree of non-seasonal differencing (d)	1
Degree of seasonal differencing (D)	1
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0139 (72)	0
0.0278 (36)	0
0.0417 (24)	0
0.0556 (18)	0
0.0694 (14.4)	0
0.0833 (12)	0
0.0972 (10.2857)	0
0.1111 (9)	0
0.125 (8)	0
0.1389 (7.2)	0
0.1528 (6.5455)	0
0.1667 (6)	0
0.1806 (5.5385)	0
0.1944 (5.1429)	0
0.2083 (4.8)	0
0.2222 (4.5)	0
0.2361 (4.2353)	0
0.25 (4)	0
0.2639 (3.7895)	0
0.2778 (3.6)	0
0.2917 (3.4286)	0
0.3056 (3.2727)	0
0.3194 (3.1304)	0
0.3333 (3)	0
0.3472 (2.88)	0
0.3611 (2.7692)	0
0.375 (2.6667)	0
0.3889 (2.5714)	0
0.4028 (2.4828)	0
0.4167 (2.4)	0
0.4306 (2.3226)	0
0.4444 (2.25)	0
0.4583 (2.1818)	0
0.4722 (2.1176)	0
0.4861 (2.0571)	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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0139 (72) & 0 \tabularnewline
0.0278 (36) & 0 \tabularnewline
0.0417 (24) & 0 \tabularnewline
0.0556 (18) & 0 \tabularnewline
0.0694 (14.4) & 0 \tabularnewline
0.0833 (12) & 0 \tabularnewline
0.0972 (10.2857) & 0 \tabularnewline
0.1111 (9) & 0 \tabularnewline
0.125 (8) & 0 \tabularnewline
0.1389 (7.2) & 0 \tabularnewline
0.1528 (6.5455) & 0 \tabularnewline
0.1667 (6) & 0 \tabularnewline
0.1806 (5.5385) & 0 \tabularnewline
0.1944 (5.1429) & 0 \tabularnewline
0.2083 (4.8) & 0 \tabularnewline
0.2222 (4.5) & 0 \tabularnewline
0.2361 (4.2353) & 0 \tabularnewline
0.25 (4) & 0 \tabularnewline
0.2639 (3.7895) & 0 \tabularnewline
0.2778 (3.6) & 0 \tabularnewline
0.2917 (3.4286) & 0 \tabularnewline
0.3056 (3.2727) & 0 \tabularnewline
0.3194 (3.1304) & 0 \tabularnewline
0.3333 (3) & 0 \tabularnewline
0.3472 (2.88) & 0 \tabularnewline
0.3611 (2.7692) & 0 \tabularnewline
0.375 (2.6667) & 0 \tabularnewline
0.3889 (2.5714) & 0 \tabularnewline
0.4028 (2.4828) & 0 \tabularnewline
0.4167 (2.4) & 0 \tabularnewline
0.4306 (2.3226) & 0 \tabularnewline
0.4444 (2.25) & 0 \tabularnewline
0.4583 (2.1818) & 0 \tabularnewline
0.4722 (2.1176) & 0 \tabularnewline
0.4861 (2.0571) & 0 \tabularnewline
0.5 (2) & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=30736&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]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]0[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]0[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]0[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]0[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]0[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]0[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]0[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]0[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]0[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]0[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]0[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]0[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]0[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]0[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]0[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]0[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]0[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]0[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]0[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]0[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]0[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]0[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]0[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]0[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]0[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]0[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]0[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]0[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]0[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]0[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]0[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]0[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]0[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]0[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=30736&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=30736&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	-1
Degree of non-seasonal differencing (d)	1
Degree of seasonal differencing (D)	1
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0139 (72)	0
0.0278 (36)	0
0.0417 (24)	0
0.0556 (18)	0
0.0694 (14.4)	0
0.0833 (12)	0
0.0972 (10.2857)	0
0.1111 (9)	0
0.125 (8)	0
0.1389 (7.2)	0
0.1528 (6.5455)	0
0.1667 (6)	0
0.1806 (5.5385)	0
0.1944 (5.1429)	0
0.2083 (4.8)	0
0.2222 (4.5)	0
0.2361 (4.2353)	0
0.25 (4)	0
0.2639 (3.7895)	0
0.2778 (3.6)	0
0.2917 (3.4286)	0
0.3056 (3.2727)	0
0.3194 (3.1304)	0
0.3333 (3)	0
0.3472 (2.88)	0
0.3611 (2.7692)	0
0.375 (2.6667)	0
0.3889 (2.5714)	0
0.4028 (2.4828)	0
0.4167 (2.4)	0
0.4306 (2.3226)	0
0.4444 (2.25)	0
0.4583 (2.1818)	0
0.4722 (2.1176)	0
0.4861 (2.0571)	0
0.5 (2)	0

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = -1.0 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;

Parameters (R input):

par1 = -1.0 ; par2 = 1 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code