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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 computationSat, 11 Dec 2010 18:23:34 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/11/t1292091741v55g2jcrzgio1dg.htm/, Retrieved Mon, 06 May 2024 11:32:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108271, Retrieved Mon, 06 May 2024 11:32:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact145

Tree of Dependent Computations

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]
- RMP   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
-   PD    [Spectral Analysis] [Ws 9 - CP (d = 1)] [2010-12-05 13:51:27] [603e2f5305d3a2a4e062624458fa1155]
- R PD      [Spectral Analysis] [CP D=0 aanvoer] [2010-12-11 18:16:03] [04d4386fa51dbd2ef12d0f1f80644886]
-   PD          [Spectral Analysis] [CP D=1 aanvoer] [2010-12-11 18:23:34] [de8ccb310fbbdc3d90ae577a3e011cf9] [Current]
-    D            [Spectral Analysis] [CP D=1 interventie] [2010-12-12 10:56:19] [04d4386fa51dbd2ef12d0f1f80644886]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1606
1634
2013
1654
1003
1029
1052
1653
1918
1926
1862
1816
1712
1646
1555
1402
1047
891
940
1372
2012
1879
1667
1856
1771
1721
1773
1507
1033
1011
1111
1736
1865
2078
1947
1428
1500
1950
1591
1613
1077
880
1128
1320
1692
1575
1478
1500
1368
1563
1424
1274
1047
1049
1069
981
1540
1559
1459
1559

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108271&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108271&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108271&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)141344.53728
0.0417 (24)141581.478993
0.0625 (16)27641.106196
0.0833 (12)21051.01048
0.1042 (9.6)31227.366246
0.125 (8)21187.271159
0.1458 (6.8571)61869.587661
0.1667 (6)17480.192292
0.1875 (5.3333)59290.787795
0.2083 (4.8)23980.812087
0.2292 (4.3636)46785.981359
0.25 (4)22205.429982
0.2708 (3.6923)21208.781505
0.2917 (3.4286)139643.446341
0.3125 (3.2)49370.93246
0.3333 (3)75.543785
0.3542 (2.8235)44016.667105
0.375 (2.6667)156963.179571
0.3958 (2.5263)21644.059652
0.4167 (2.4)17123.566834
0.4375 (2.2857)934.76093
0.4583 (2.1818)20398.343726
0.4792 (2.087)11357.716423
0.5 (2)2046.444013

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 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) & 141344.53728 \tabularnewline
0.0417 (24) & 141581.478993 \tabularnewline
0.0625 (16) & 27641.106196 \tabularnewline
0.0833 (12) & 21051.01048 \tabularnewline
0.1042 (9.6) & 31227.366246 \tabularnewline
0.125 (8) & 21187.271159 \tabularnewline
0.1458 (6.8571) & 61869.587661 \tabularnewline
0.1667 (6) & 17480.192292 \tabularnewline
0.1875 (5.3333) & 59290.787795 \tabularnewline
0.2083 (4.8) & 23980.812087 \tabularnewline
0.2292 (4.3636) & 46785.981359 \tabularnewline
0.25 (4) & 22205.429982 \tabularnewline
0.2708 (3.6923) & 21208.781505 \tabularnewline
0.2917 (3.4286) & 139643.446341 \tabularnewline
0.3125 (3.2) & 49370.93246 \tabularnewline
0.3333 (3) & 75.543785 \tabularnewline
0.3542 (2.8235) & 44016.667105 \tabularnewline
0.375 (2.6667) & 156963.179571 \tabularnewline
0.3958 (2.5263) & 21644.059652 \tabularnewline
0.4167 (2.4) & 17123.566834 \tabularnewline
0.4375 (2.2857) & 934.76093 \tabularnewline
0.4583 (2.1818) & 20398.343726 \tabularnewline
0.4792 (2.087) & 11357.716423 \tabularnewline
0.5 (2) & 2046.444013 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108271&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]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]141344.53728[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]141581.478993[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]27641.106196[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]21051.01048[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]31227.366246[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]21187.271159[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]61869.587661[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]17480.192292[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]59290.787795[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]23980.812087[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]46785.981359[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]22205.429982[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]21208.781505[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]139643.446341[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]49370.93246[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]75.543785[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]44016.667105[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]156963.179571[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]21644.059652[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]17123.566834[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]934.76093[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]20398.343726[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]11357.716423[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2046.444013[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108271&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108271&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)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)141344.53728
0.0417 (24)141581.478993
0.0625 (16)27641.106196
0.0833 (12)21051.01048
0.1042 (9.6)31227.366246
0.125 (8)21187.271159
0.1458 (6.8571)61869.587661
0.1667 (6)17480.192292
0.1875 (5.3333)59290.787795
0.2083 (4.8)23980.812087
0.2292 (4.3636)46785.981359
0.25 (4)22205.429982
0.2708 (3.6923)21208.781505
0.2917 (3.4286)139643.446341
0.3125 (3.2)49370.93246
0.3333 (3)75.543785
0.3542 (2.8235)44016.667105
0.375 (2.6667)156963.179571
0.3958 (2.5263)21644.059652
0.4167 (2.4)17123.566834
0.4375 (2.2857)934.76093
0.4583 (2.1818)20398.343726
0.4792 (2.087)11357.716423
0.5 (2)2046.444013


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 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')