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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 computationFri, 03 Dec 2010 12:01:39 +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/03/t1291377601muuf4gwfurk6k3m.htm/, Retrieved Tue, 07 May 2024 20:26:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=104662, Retrieved Tue, 07 May 2024 20:26:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Spectral Analysis] [Births] [2010-11-29 09:38:20] [b98453cac15ba1066b407e146608df68]
F   PD            [Spectral Analysis] [CP cultuurbesteding] [2010-12-03 12:01:39] [e665313c9926a9f4bdf6ad1ee5aefad6] [Current]
-   PD              [Spectral Analysis] [cumulatief period...] [2010-12-18 19:47:57] [74be16979710d4c4e7c6647856088456]
-   PD              [Spectral Analysis] [cumulatief period...] [2010-12-18 19:47:57] [74deae64b71f9d77c839af86f7c687b5]
-   PD              [Spectral Analysis] [cumulatief period...] [2010-12-18 20:00:46] [74deae64b71f9d77c839af86f7c687b5]
- R P               [Spectral Analysis] [] [2011-12-06 18:59:09] [46d7ccc24e5d35a2decd922dfb3b3a39]
-   PD              [Spectral Analysis] [workshop 9e] [2011-12-08 13:58:19] [bab4e1d4a779bb46523d87231e2a2e96]
-   PD              [Spectral Analysis] [workshop 9] [2011-12-08 13:57:50] [b1d8f9e536fbb1cbb331f583f7f5f24b]
Feedback Forum
2010-12-13 11:36:10 [Stefanie Van Esbroeck] [reply] 
Je maakte ook hier een correcte berekening en je paste alle parameters correct aan. Verder is ook je interpretatie van de gegeven output correct. Je had er wel nog aan kunnen toevoegen dat tijdreeks dus niet statitionair is geworden omdat er op naar het einde toe zelfs buiten het betrouwbaarheidsinterval ligt. Je concludeert dus correct dat dit model nog niet volledig is wat het zou moeten zijn.

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101.76
102.37
102.38
102.86
102.87
102.92
102.95
103.02
104.08
104.16
104.24
104.33
104.73
104.86
105.03
105.62
105.63
105.63
105.94
106.61
107.69
107.78
107.93
108.48
108.14
108.48
108.48
108.89
108.93
109.21
109.47
109.80
111.73
111.85
112.12
112.15
112.17
112.67
112.80
113.44
113.53
114.53
114.51
115.05
116.67
117.07
116.92
117.00
117.02
117.35
117.36
117.82
117.88
118.24
118.50
118.80
119.76
120.09

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 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 & 4 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104662&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]4 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=104662&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104662&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 time4 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)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0222 (45)0.068577
0.0444 (22.5)0.119258
0.0667 (15)0.008607
0.0889 (11.25)0.074189
0.1111 (9)0.068882
0.1333 (7.5)0.019375
0.1556 (6.4286)0.01063
0.1778 (5.625)0.005768
0.2 (5)0.03536
0.2222 (4.5)0.198672
0.2444 (4.0909)0.014702
0.2667 (3.75)0.182011
0.2889 (3.4615)0.126461
0.3111 (3.2143)0.291381
0.3333 (3)0.003808
0.3556 (2.8125)0.028461
0.3778 (2.6471)0.0297
0.4 (2.5)0.004563
0.4222 (2.3684)0.00211
0.4444 (2.25)0.809048
0.4667 (2.1429)0.24435
0.4889 (2.0455)0.038675

\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
0.0222 (45) & 0.068577 \tabularnewline
0.0444 (22.5) & 0.119258 \tabularnewline
0.0667 (15) & 0.008607 \tabularnewline
0.0889 (11.25) & 0.074189 \tabularnewline
0.1111 (9) & 0.068882 \tabularnewline
0.1333 (7.5) & 0.019375 \tabularnewline
0.1556 (6.4286) & 0.01063 \tabularnewline
0.1778 (5.625) & 0.005768 \tabularnewline
0.2 (5) & 0.03536 \tabularnewline
0.2222 (4.5) & 0.198672 \tabularnewline
0.2444 (4.0909) & 0.014702 \tabularnewline
0.2667 (3.75) & 0.182011 \tabularnewline
0.2889 (3.4615) & 0.126461 \tabularnewline
0.3111 (3.2143) & 0.291381 \tabularnewline
0.3333 (3) & 0.003808 \tabularnewline
0.3556 (2.8125) & 0.028461 \tabularnewline
0.3778 (2.6471) & 0.0297 \tabularnewline
0.4 (2.5) & 0.004563 \tabularnewline
0.4222 (2.3684) & 0.00211 \tabularnewline
0.4444 (2.25) & 0.809048 \tabularnewline
0.4667 (2.1429) & 0.24435 \tabularnewline
0.4889 (2.0455) & 0.038675 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=104662&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]0.0222 (45)[/C][C]0.068577[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]0.119258[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]0.008607[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]0.074189[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]0.068882[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]0.019375[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]0.01063[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]0.005768[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]0.03536[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]0.198672[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]0.014702[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]0.182011[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]0.126461[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]0.291381[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0.003808[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]0.028461[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]0.0297[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]0.004563[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]0.00211[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]0.809048[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]0.24435[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]0.038675[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=104662&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=104662&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)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0222 (45)0.068577
0.0444 (22.5)0.119258
0.0667 (15)0.008607
0.0889 (11.25)0.074189
0.1111 (9)0.068882
0.1333 (7.5)0.019375
0.1556 (6.4286)0.01063
0.1778 (5.625)0.005768
0.2 (5)0.03536
0.2222 (4.5)0.198672
0.2444 (4.0909)0.014702
0.2667 (3.75)0.182011
0.2889 (3.4615)0.126461
0.3111 (3.2143)0.291381
0.3333 (3)0.003808
0.3556 (2.8125)0.028461
0.3778 (2.6471)0.0297
0.4 (2.5)0.004563
0.4222 (2.3684)0.00211
0.4444 (2.25)0.809048
0.4667 (2.1429)0.24435
0.4889 (2.0455)0.038675


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = FALSE ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;
Parameters (R input):
par1 = 1 ; 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')