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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

Tue, 09 Dec 2008 08:06:02 -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/09/t1228835222adfg0cjk35zr0t9.htm/, Retrieved Sun, 19 May 2024 12:19:04 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31498, Retrieved Sun, 19 May 2024 12:19:04 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

183

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

F       [Spectral Analysis] [step3] [2008-12-09 15:06:02] [a413cf7744efd6bb212437a3916e2f23] [Current]

Feedback Forum

2008-12-14 13:29:52 [Gert-Jan Geudens] [reply] 
Foutieve berekening, je moet lambda hier gelijkstellen aan 1.
2008-12-14 13:30:42 [Gert-Jan Geudens] [reply] 
We willen nog even aan onze vorige feedback toevoegen dat we deze lambda is 1, kunnen afleiden uit de conclusies betreffende de eerste stap.
2008-12-15 14:29:10 [Jonas Scheltjens] [reply] 
De student heeft hier enkel de link en de grafiek gegeven zonder enige degelijke uitleg of verklaring (afgezien van “Seizoenaliteit is al wat afgenomen maar nog niet helemaal.”). Aangezien het niet de taak is van de persoon die de assessments doet om deze taak voor de student te maken, verwijs ik dan ook voor de algemene en volledige uitleg voor deze Step naar Step 3 voor de unemployment data, dewelke ik zeer uitgebreid heb besproken en waar alle informatie in staat om deze vraag correct op te lossen.

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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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31498&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31498&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31498&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	0.1
Degree of non-seasonal differencing (d)	0
Degree of seasonal differencing (D)	1
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0208 (48)	0.324433
0.0417 (24)	0.187686
0.0625 (16)	0.072721
0.0833 (12)	0.012337
0.1042 (9.6)	0.062913
0.125 (8)	0.007569
0.1458 (6.8571)	0.042935
0.1667 (6)	0.00159
0.1875 (5.3333)	0.001875
0.2083 (4.8)	0.000504
0.2292 (4.3636)	0.03847
0.25 (4)	0.000357
0.2708 (3.6923)	0.013269
0.2917 (3.4286)	0.013536
0.3125 (3.2)	0.054317
0.3333 (3)	0.031859
0.3542 (2.8235)	0.033462
0.375 (2.6667)	0.009077
0.3958 (2.5263)	0.019477
0.4167 (2.4)	0.00562
0.4375 (2.2857)	0.012857
0.4583 (2.1818)	0.00583
0.4792 (2.087)	0.032622
0.5 (2)	8.5e-05

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 0.1 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0208 (48) & 0.324433 \tabularnewline
0.0417 (24) & 0.187686 \tabularnewline
0.0625 (16) & 0.072721 \tabularnewline
0.0833 (12) & 0.012337 \tabularnewline
0.1042 (9.6) & 0.062913 \tabularnewline
0.125 (8) & 0.007569 \tabularnewline
0.1458 (6.8571) & 0.042935 \tabularnewline
0.1667 (6) & 0.00159 \tabularnewline
0.1875 (5.3333) & 0.001875 \tabularnewline
0.2083 (4.8) & 0.000504 \tabularnewline
0.2292 (4.3636) & 0.03847 \tabularnewline
0.25 (4) & 0.000357 \tabularnewline
0.2708 (3.6923) & 0.013269 \tabularnewline
0.2917 (3.4286) & 0.013536 \tabularnewline
0.3125 (3.2) & 0.054317 \tabularnewline
0.3333 (3) & 0.031859 \tabularnewline
0.3542 (2.8235) & 0.033462 \tabularnewline
0.375 (2.6667) & 0.009077 \tabularnewline
0.3958 (2.5263) & 0.019477 \tabularnewline
0.4167 (2.4) & 0.00562 \tabularnewline
0.4375 (2.2857) & 0.012857 \tabularnewline
0.4583 (2.1818) & 0.00583 \tabularnewline
0.4792 (2.087) & 0.032622 \tabularnewline
0.5 (2) & 8.5e-05 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31498&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]0.1[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d)[/C][C]0[/C][/ROW]
[ROW][C]Degree of seasonal differencing (D)[/C][C]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]0.324433[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]0.187686[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]0.072721[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]0.012337[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]0.062913[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]0.007569[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]0.042935[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]0.00159[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]0.001875[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]0.000504[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]0.03847[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]0.000357[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]0.013269[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]0.013536[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]0.054317[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0.031859[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]0.033462[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]0.009077[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]0.019477[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]0.00562[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]0.012857[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]0.00583[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]0.032622[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]8.5e-05[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31498&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31498&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)	0.1
Degree of non-seasonal differencing (d)	0
Degree of seasonal differencing (D)	1
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0208 (48)	0.324433
0.0417 (24)	0.187686
0.0625 (16)	0.072721
0.0833 (12)	0.012337
0.1042 (9.6)	0.062913
0.125 (8)	0.007569
0.1458 (6.8571)	0.042935
0.1667 (6)	0.00159
0.1875 (5.3333)	0.001875
0.2083 (4.8)	0.000504
0.2292 (4.3636)	0.03847
0.25 (4)	0.000357
0.2708 (3.6923)	0.013269
0.2917 (3.4286)	0.013536
0.3125 (3.2)	0.054317
0.3333 (3)	0.031859
0.3542 (2.8235)	0.033462
0.375 (2.6667)	0.009077
0.3958 (2.5263)	0.019477
0.4167 (2.4)	0.00562
0.4375 (2.2857)	0.012857
0.4583 (2.1818)	0.00583
0.4792 (2.087)	0.032622
0.5 (2)	8.5e-05

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 0.1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;

Parameters (R input):

par1 = 0.1 ; par2 = 0 ; 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