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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 computationMon, 27 Dec 2010 19:37:31 +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/27/t1293478564adltuk2wm6mz8pp.htm/, Retrieved Thu, 12 Feb 2026 15:51:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116097, Retrieved Thu, 12 Feb 2026 15:51:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsSpectral Analysis - Gemiddelde Bouwgrondprijzen België (1995-2009)
Estimated Impact394

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Spectral Analysis] [Workshop 9 : Spec...] [2010-12-14 13:47:54] [e73e9643c012a54583c6a406017b2645]
-       [Spectral Analysis] [Cumulatief period...] [2010-12-17 17:10:29] [78a5cb23fbaf3f7e43a4286844511628]
-   P     [Spectral Analysis] [Cumulatief period...] [2010-12-17 17:19:28] [78a5cb23fbaf3f7e43a4286844511628]
-   PD        [Spectral Analysis] [Paper Statistiek] [2010-12-27 19:37:31] [f6fdc0236f011c1845380977efc505f8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
26
26
27
28
27
29
27
30
27
30
32
30
32
33
34
32
34
37
37
36
34
38
41
41
44
42
45
45
49
54
52
53
51
55
60
60
63
60
64
65
75
70
72
69
75
74
74
75
79
79
85
78
84
85
85
82
91
90
98
98

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116097&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116097&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116097&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'Gwilym Jenkins' @ 72.249.127.135






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)4
Frequency (Period)Spectrum
0.0167 (60)1.593733
0.0333 (30)1.738437
0.05 (20)0.234403
0.0667 (15)0.233529
0.0833 (12)2.0746
0.1 (10)2.057789
0.1167 (8.5714)1.26803
0.1333 (7.5)0.554012
0.15 (6.6667)2.200246
0.1667 (6)16.64855
0.1833 (5.4545)15.447172
0.2 (5)6.835629
0.2167 (4.6154)9.758513
0.2333 (4.2857)12.291068
0.25 (4)14.642303
0.2667 (3.75)4.658482
0.2833 (3.5294)2.704706
0.3 (3.3333)10.063243
0.3167 (3.1579)6.711145
0.3333 (3)3.595734
0.35 (2.8571)8.371037
0.3667 (2.7273)11.918706
0.3833 (2.6087)5.268392
0.4 (2.5)2.798073
0.4167 (2.4)24.50177
0.4333 (2.3077)29.405222
0.45 (2.2222)8.259812
0.4667 (2.1429)18.078047
0.4833 (2.069)56.193367
0.5 (2)77.325309

\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) & 0 \tabularnewline
Seasonal Period (s) & 4 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 1.593733 \tabularnewline
0.0333 (30) & 1.738437 \tabularnewline
0.05 (20) & 0.234403 \tabularnewline
0.0667 (15) & 0.233529 \tabularnewline
0.0833 (12) & 2.0746 \tabularnewline
0.1 (10) & 2.057789 \tabularnewline
0.1167 (8.5714) & 1.26803 \tabularnewline
0.1333 (7.5) & 0.554012 \tabularnewline
0.15 (6.6667) & 2.200246 \tabularnewline
0.1667 (6) & 16.64855 \tabularnewline
0.1833 (5.4545) & 15.447172 \tabularnewline
0.2 (5) & 6.835629 \tabularnewline
0.2167 (4.6154) & 9.758513 \tabularnewline
0.2333 (4.2857) & 12.291068 \tabularnewline
0.25 (4) & 14.642303 \tabularnewline
0.2667 (3.75) & 4.658482 \tabularnewline
0.2833 (3.5294) & 2.704706 \tabularnewline
0.3 (3.3333) & 10.063243 \tabularnewline
0.3167 (3.1579) & 6.711145 \tabularnewline
0.3333 (3) & 3.595734 \tabularnewline
0.35 (2.8571) & 8.371037 \tabularnewline
0.3667 (2.7273) & 11.918706 \tabularnewline
0.3833 (2.6087) & 5.268392 \tabularnewline
0.4 (2.5) & 2.798073 \tabularnewline
0.4167 (2.4) & 24.50177 \tabularnewline
0.4333 (2.3077) & 29.405222 \tabularnewline
0.45 (2.2222) & 8.259812 \tabularnewline
0.4667 (2.1429) & 18.078047 \tabularnewline
0.4833 (2.069) & 56.193367 \tabularnewline
0.5 (2) & 77.325309 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116097&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]4[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]1.593733[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]1.738437[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]0.234403[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]0.233529[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]2.0746[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]2.057789[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]1.26803[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]0.554012[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]2.200246[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]16.64855[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]15.447172[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]6.835629[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]9.758513[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]12.291068[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]14.642303[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]4.658482[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]2.704706[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]10.063243[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]6.711145[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]3.595734[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]8.371037[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]11.918706[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]5.268392[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]2.798073[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]24.50177[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]29.405222[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]8.259812[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]18.078047[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]56.193367[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]77.325309[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116097&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116097&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)0
Seasonal Period (s)4
Frequency (Period)Spectrum
0.0167 (60)1.593733
0.0333 (30)1.738437
0.05 (20)0.234403
0.0667 (15)0.233529
0.0833 (12)2.0746
0.1 (10)2.057789
0.1167 (8.5714)1.26803
0.1333 (7.5)0.554012
0.15 (6.6667)2.200246
0.1667 (6)16.64855
0.1833 (5.4545)15.447172
0.2 (5)6.835629
0.2167 (4.6154)9.758513
0.2333 (4.2857)12.291068
0.25 (4)14.642303
0.2667 (3.75)4.658482
0.2833 (3.5294)2.704706
0.3 (3.3333)10.063243
0.3167 (3.1579)6.711145
0.3333 (3)3.595734
0.35 (2.8571)8.371037
0.3667 (2.7273)11.918706
0.3833 (2.6087)5.268392
0.4 (2.5)2.798073
0.4167 (2.4)24.50177
0.4333 (2.3077)29.405222
0.45 (2.2222)8.259812
0.4667 (2.1429)18.078047
0.4833 (2.069)56.193367
0.5 (2)77.325309


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 4 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 4 ;
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')