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Description of Statistical Computation

Author's title

Spectral analysis Totaal # niet-werkende werkzoekende mannen in het Vlaams ...

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationSat, 13 Dec 2008 07:37:23 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/13/t1229179152rk6ep65rgooxmgd.htm/, Retrieved Fri, 17 May 2024 05:03:51 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33128, Retrieved Fri, 17 May 2024 05:03:51 +0000
QR Codes:

Original text written by user:Lambda: 0.5 D:1 d: 1 Seizoenale periode: 12
IsPrivate?No (this computation is public)
User-defined keywordsSpectral analysis Totaal niet-werkende werkzoekende mannen Vlaams gewest
Estimated Impact153

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [Spectral analysis...] [2008-12-13 14:37:23] [f4b2017b314c03698059f43b95818e67] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
106099
103235
98857
101107
102700
101477
99639
96622
94697
95093
112885
121162
113624
111632
106707
108827
108413
106249
104861
102382
100320
100228
117089
121523
114948
112831
107605
108928
101993
102850
99925
101536
99450
98305
110159
109483
106810
96279
91982
90276
90999
86622
83117
80367
77550
77443
92844
92175
84822
81632
78872
81485
80651
78192
76844
76335
71415
73899
86822
86371
83469
82662

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33128&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]1 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=33128&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33128&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 time1 seconds
R Server'George Udny Yule' @ 72.249.76.132






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)0.5
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.02 (50)75.854141
0.04 (25)81.191696
0.06 (16.6667)55.52894
0.08 (12.5)9.79566
0.1 (10)64.113276
0.12 (8.3333)36.64408
0.14 (7.1429)127.68448
0.16 (6.25)64.314982
0.18 (5.5556)21.85825
0.2 (5)326.414436
0.22 (4.5455)129.882324
0.24 (4.1667)17.527682
0.26 (3.8462)6.055444
0.28 (3.5714)190.888785
0.3 (3.3333)76.272633
0.32 (3.125)41.118993
0.34 (2.9412)14.117724
0.36 (2.7778)116.284473
0.38 (2.6316)24.743896
0.4 (2.5)47.004636
0.42 (2.381)66.855578
0.44 (2.2727)329.984731
0.46 (2.1739)674.967879
0.48 (2.0833)220.898548
0.5 (2)0.328674

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 0.5 \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
0.02 (50) & 75.854141 \tabularnewline
0.04 (25) & 81.191696 \tabularnewline
0.06 (16.6667) & 55.52894 \tabularnewline
0.08 (12.5) & 9.79566 \tabularnewline
0.1 (10) & 64.113276 \tabularnewline
0.12 (8.3333) & 36.64408 \tabularnewline
0.14 (7.1429) & 127.68448 \tabularnewline
0.16 (6.25) & 64.314982 \tabularnewline
0.18 (5.5556) & 21.85825 \tabularnewline
0.2 (5) & 326.414436 \tabularnewline
0.22 (4.5455) & 129.882324 \tabularnewline
0.24 (4.1667) & 17.527682 \tabularnewline
0.26 (3.8462) & 6.055444 \tabularnewline
0.28 (3.5714) & 190.888785 \tabularnewline
0.3 (3.3333) & 76.272633 \tabularnewline
0.32 (3.125) & 41.118993 \tabularnewline
0.34 (2.9412) & 14.117724 \tabularnewline
0.36 (2.7778) & 116.284473 \tabularnewline
0.38 (2.6316) & 24.743896 \tabularnewline
0.4 (2.5) & 47.004636 \tabularnewline
0.42 (2.381) & 66.855578 \tabularnewline
0.44 (2.2727) & 329.984731 \tabularnewline
0.46 (2.1739) & 674.967879 \tabularnewline
0.48 (2.0833) & 220.898548 \tabularnewline
0.5 (2) & 0.328674 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33128&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]0.5[/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]0.02 (50)[/C][C]75.854141[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]81.191696[/C][/ROW]
[ROW][C]0.06 (16.6667)[/C][C]55.52894[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]9.79566[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]64.113276[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]36.64408[/C][/ROW]
[ROW][C]0.14 (7.1429)[/C][C]127.68448[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]64.314982[/C][/ROW]
[ROW][C]0.18 (5.5556)[/C][C]21.85825[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]326.414436[/C][/ROW]
[ROW][C]0.22 (4.5455)[/C][C]129.882324[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]17.527682[/C][/ROW]
[ROW][C]0.26 (3.8462)[/C][C]6.055444[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]190.888785[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]76.272633[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]41.118993[/C][/ROW]
[ROW][C]0.34 (2.9412)[/C][C]14.117724[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]116.284473[/C][/ROW]
[ROW][C]0.38 (2.6316)[/C][C]24.743896[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]47.004636[/C][/ROW]
[ROW][C]0.42 (2.381)[/C][C]66.855578[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]329.984731[/C][/ROW]
[ROW][C]0.46 (2.1739)[/C][C]674.967879[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]220.898548[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.328674[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33128&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33128&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)0.5
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.02 (50)75.854141
0.04 (25)81.191696
0.06 (16.6667)55.52894
0.08 (12.5)9.79566
0.1 (10)64.113276
0.12 (8.3333)36.64408
0.14 (7.1429)127.68448
0.16 (6.25)64.314982
0.18 (5.5556)21.85825
0.2 (5)326.414436
0.22 (4.5455)129.882324
0.24 (4.1667)17.527682
0.26 (3.8462)6.055444
0.28 (3.5714)190.888785
0.3 (3.3333)76.272633
0.32 (3.125)41.118993
0.34 (2.9412)14.117724
0.36 (2.7778)116.284473
0.38 (2.6316)24.743896
0.4 (2.5)47.004636
0.42 (2.381)66.855578
0.44 (2.2727)329.984731
0.46 (2.1739)674.967879
0.48 (2.0833)220.898548
0.5 (2)0.328674


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.5 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 0.5 ; 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')