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Author's title

Author

*Unverified author*

R Software Module

rwasp_spectrum.wasp

Title produced by software

Spectral Analysis

Date of computation

Thu, 29 Nov 2007 04:46:53 -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/2007/Nov/29/t1196336305tkvhrr566isl9u8.htm/, Retrieved Fri, 03 May 2024 14:45:33 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=7441, Retrieved Fri, 03 May 2024 14:45:33 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

s0650668

Estimated Impact

196

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

-       [Spectral Analysis] [Inducing stationa...] [2007-11-29 11:46:53] [b487e2f14d9a98d85035381cdee55b72] [Current]

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Dataseries X:

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Histogram

Boxplots

0.51
0.51
0.51
0.51
0.51
0.51
0.51
0.51
0.5
0.51
0.51
0.5
0.51
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0.51
0.51
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0.52
0.52
0.53
0.53
0.52
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0.52
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0.52
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0.52
0.52
0.52
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0.53
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0.54
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0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.54
0.53
0.53
0.53
0.53
0.53
0.54
0.55
0.55
0.55
0.55
0.55
0.55
0.55
0.55
0.56
0.56
0.56
0.56
0.56
0.55
0.56
0.55
0.55
0.56
0.55
0.55
0.55
0.55

Summary of compuational 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 compuational 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=7441&T=0

[TABLE]
[ROW][C]Summary of compuational 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=7441&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7441&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 compuational 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)	2
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0208 (48)	6.9e-05
0.0417 (24)	0.000243
0.0625 (16)	0.000369
0.0833 (12)	2.5e-05
0.1042 (9.6)	5.7e-05
0.125 (8)	0.000697
0.1458 (6.8571)	4e-06
0.1667 (6)	9e-06
0.1875 (5.3333)	4.8e-05
0.2083 (4.8)	2.8e-05
0.2292 (4.3636)	6.7e-05
0.25 (4)	1e-05
0.2708 (3.6923)	0.000328
0.2917 (3.4286)	0.000188
0.3125 (3.2)	4.7e-05
0.3333 (3)	9e-05
0.3542 (2.8235)	0.000309
0.375 (2.6667)	6.3e-05
0.3958 (2.5263)	1.2e-05
0.4167 (2.4)	5.4e-05
0.4375 (2.2857)	5.8e-05
0.4583 (2.1818)	0.000206
0.4792 (2.087)	8.5e-05
0.5 (2)	1e-06

\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) & 2 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0208 (48) & 6.9e-05 \tabularnewline
0.0417 (24) & 0.000243 \tabularnewline
0.0625 (16) & 0.000369 \tabularnewline
0.0833 (12) & 2.5e-05 \tabularnewline
0.1042 (9.6) & 5.7e-05 \tabularnewline
0.125 (8) & 0.000697 \tabularnewline
0.1458 (6.8571) & 4e-06 \tabularnewline
0.1667 (6) & 9e-06 \tabularnewline
0.1875 (5.3333) & 4.8e-05 \tabularnewline
0.2083 (4.8) & 2.8e-05 \tabularnewline
0.2292 (4.3636) & 6.7e-05 \tabularnewline
0.25 (4) & 1e-05 \tabularnewline
0.2708 (3.6923) & 0.000328 \tabularnewline
0.2917 (3.4286) & 0.000188 \tabularnewline
0.3125 (3.2) & 4.7e-05 \tabularnewline
0.3333 (3) & 9e-05 \tabularnewline
0.3542 (2.8235) & 0.000309 \tabularnewline
0.375 (2.6667) & 6.3e-05 \tabularnewline
0.3958 (2.5263) & 1.2e-05 \tabularnewline
0.4167 (2.4) & 5.4e-05 \tabularnewline
0.4375 (2.2857) & 5.8e-05 \tabularnewline
0.4583 (2.1818) & 0.000206 \tabularnewline
0.4792 (2.087) & 8.5e-05 \tabularnewline
0.5 (2) & 1e-06 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=7441&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]2[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]6.9e-05[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]0.000243[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]0.000369[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]2.5e-05[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]5.7e-05[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]0.000697[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]4e-06[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]9e-06[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]4.8e-05[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]2.8e-05[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]6.7e-05[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1e-05[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]0.000328[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]0.000188[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]4.7e-05[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]9e-05[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]0.000309[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]6.3e-05[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]1.2e-05[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]5.4e-05[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]5.8e-05[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]0.000206[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]8.5e-05[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1e-06[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=7441&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=7441&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)	2
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0208 (48)	6.9e-05
0.0417 (24)	0.000243
0.0625 (16)	0.000369
0.0833 (12)	2.5e-05
0.1042 (9.6)	5.7e-05
0.125 (8)	0.000697
0.1458 (6.8571)	4e-06
0.1667 (6)	9e-06
0.1875 (5.3333)	4.8e-05
0.2083 (4.8)	2.8e-05
0.2292 (4.3636)	6.7e-05
0.25 (4)	1e-05
0.2708 (3.6923)	0.000328
0.2917 (3.4286)	0.000188
0.3125 (3.2)	4.7e-05
0.3333 (3)	9e-05
0.3542 (2.8235)	0.000309
0.375 (2.6667)	6.3e-05
0.3958 (2.5263)	1.2e-05
0.4167 (2.4)	5.4e-05
0.4375 (2.2857)	5.8e-05
0.4583 (2.1818)	0.000206
0.4792 (2.087)	8.5e-05
0.5 (2)	1e-06

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 1 ; par3 = 2 ; par4 = 12 ;

Parameters (R input):

par1 = 1 ; par2 = 1 ; par3 = 2 ; 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