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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationWed, 24 Dec 2008 05:59:19 -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/24/t1230123586tb3eirr5niebh1w.htm/, Retrieved Sat, 24 May 2025 23:25:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36541, Retrieved Sat, 24 May 2025 23:25:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact249

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]
F RMP   [Standard Deviation-Mean Plot] [q1] [2008-12-08 12:37:39] [3ffd109c9e040b1ae7e5dbe576d4698c]
F    D    [Standard Deviation-Mean Plot] [SMP] [2008-12-08 12:41:29] [3ffd109c9e040b1ae7e5dbe576d4698c]
- RM        [Variance Reduction Matrix] [VRM] [2008-12-08 13:10:17] [3ffd109c9e040b1ae7e5dbe576d4698c]
- RM          [(Partial) Autocorrelation Function] [ACF] [2008-12-08 13:14:12] [3ffd109c9e040b1ae7e5dbe576d4698c]
F               [(Partial) Autocorrelation Function] [ACF] [2008-12-08 13:17:45] [3ffd109c9e040b1ae7e5dbe576d4698c]
F RM              [Spectral Analysis] [spectraal] [2008-12-08 13:20:34] [3ffd109c9e040b1ae7e5dbe576d4698c]
- R P               [Spectral Analysis] [Spectraal] [2008-12-18 16:27:12] [3ffd109c9e040b1ae7e5dbe576d4698c]
-                       [Spectral Analysis] [spectraal analyse] [2008-12-24 12:59:19] [c00776cbed2786c9c4960950021bd861] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
147768
137507
136919
136151
133001
125554
119647
114158
116193
152803
161761
160942
149470
139208
134588
130322
126611
122401
117352
112135
112879
148729
157230
157221
146681
136524
132111
125326
122716
116615
113719
110737
112093
143565
149946
149147
134339
122683
115614
116566
111272
104609
101802
94542
93051
124129
130374
123946
114971
105531
104919
104782
101281
94545
93248
84031
87486
115867
120327
117008
108811

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'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=36541&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=36541&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36541&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)564439529.533743
0.0312 (32)48730560.865005
0.0469 (21.3333)20744023.770595
0.0625 (16)64933507.510803
0.0781 (12.8)3402464504.69204
0.0938 (10.6667)1398018892.45238
0.1094 (9.1429)117480703.67412
0.125 (8)95063930.306881
0.1406 (7.1111)107332925.458868
0.1562 (6.4)361723803.634007
0.1719 (5.8182)1062248470.2864
0.1875 (5.3333)23931947.208413
0.2031 (4.9231)610214.772663
0.2188 (4.5714)1420914.354926
0.2344 (4.2667)10242525.0115
0.25 (4)198170004.680202
0.2656 (3.7647)1654680.961051
0.2812 (3.5556)11948861.699484
0.2969 (3.3684)1731000.916887
0.3125 (3.2)6521072.598369
0.3281 (3.0476)78732130.68265
0.3438 (2.9091)31754181.703273
0.3594 (2.7826)14068179.931914
0.375 (2.6667)1822791.585615
0.3906 (2.56)2748129.295838
0.4062 (2.4615)18226894.919188
0.4219 (2.3704)63676534.219505
0.4375 (2.2857)1338081.508697
0.4531 (2.2069)1178154.410934
0.4688 (2.1333)3052378.718493
0.4844 (2.0645)4700046.126831
0.5 (2)41295281.081915

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0156 (64) & 564439529.533743 \tabularnewline
0.0312 (32) & 48730560.865005 \tabularnewline
0.0469 (21.3333) & 20744023.770595 \tabularnewline
0.0625 (16) & 64933507.510803 \tabularnewline
0.0781 (12.8) & 3402464504.69204 \tabularnewline
0.0938 (10.6667) & 1398018892.45238 \tabularnewline
0.1094 (9.1429) & 117480703.67412 \tabularnewline
0.125 (8) & 95063930.306881 \tabularnewline
0.1406 (7.1111) & 107332925.458868 \tabularnewline
0.1562 (6.4) & 361723803.634007 \tabularnewline
0.1719 (5.8182) & 1062248470.2864 \tabularnewline
0.1875 (5.3333) & 23931947.208413 \tabularnewline
0.2031 (4.9231) & 610214.772663 \tabularnewline
0.2188 (4.5714) & 1420914.354926 \tabularnewline
0.2344 (4.2667) & 10242525.0115 \tabularnewline
0.25 (4) & 198170004.680202 \tabularnewline
0.2656 (3.7647) & 1654680.961051 \tabularnewline
0.2812 (3.5556) & 11948861.699484 \tabularnewline
0.2969 (3.3684) & 1731000.916887 \tabularnewline
0.3125 (3.2) & 6521072.598369 \tabularnewline
0.3281 (3.0476) & 78732130.68265 \tabularnewline
0.3438 (2.9091) & 31754181.703273 \tabularnewline
0.3594 (2.7826) & 14068179.931914 \tabularnewline
0.375 (2.6667) & 1822791.585615 \tabularnewline
0.3906 (2.56) & 2748129.295838 \tabularnewline
0.4062 (2.4615) & 18226894.919188 \tabularnewline
0.4219 (2.3704) & 63676534.219505 \tabularnewline
0.4375 (2.2857) & 1338081.508697 \tabularnewline
0.4531 (2.2069) & 1178154.410934 \tabularnewline
0.4688 (2.1333) & 3052378.718493 \tabularnewline
0.4844 (2.0645) & 4700046.126831 \tabularnewline
0.5 (2) & 41295281.081915 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36541&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0156 (64)[/C][C]564439529.533743[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]48730560.865005[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]20744023.770595[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]64933507.510803[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]3402464504.69204[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]1398018892.45238[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]117480703.67412[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]95063930.306881[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]107332925.458868[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]361723803.634007[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]1062248470.2864[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]23931947.208413[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]610214.772663[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]1420914.354926[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]10242525.0115[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]198170004.680202[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]1654680.961051[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]11948861.699484[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]1731000.916887[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]6521072.598369[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]78732130.68265[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]31754181.703273[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]14068179.931914[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]1822791.585615[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]2748129.295838[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]18226894.919188[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]63676534.219505[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]1338081.508697[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]1178154.410934[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]3052378.718493[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]4700046.126831[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]41295281.081915[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36541&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36541&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)564439529.533743
0.0312 (32)48730560.865005
0.0469 (21.3333)20744023.770595
0.0625 (16)64933507.510803
0.0781 (12.8)3402464504.69204
0.0938 (10.6667)1398018892.45238
0.1094 (9.1429)117480703.67412
0.125 (8)95063930.306881
0.1406 (7.1111)107332925.458868
0.1562 (6.4)361723803.634007
0.1719 (5.8182)1062248470.2864
0.1875 (5.3333)23931947.208413
0.2031 (4.9231)610214.772663
0.2188 (4.5714)1420914.354926
0.2344 (4.2667)10242525.0115
0.25 (4)198170004.680202
0.2656 (3.7647)1654680.961051
0.2812 (3.5556)11948861.699484
0.2969 (3.3684)1731000.916887
0.3125 (3.2)6521072.598369
0.3281 (3.0476)78732130.68265
0.3438 (2.9091)31754181.703273
0.3594 (2.7826)14068179.931914
0.375 (2.6667)1822791.585615
0.3906 (2.56)2748129.295838
0.4062 (2.4615)18226894.919188
0.4219 (2.3704)63676534.219505
0.4375 (2.2857)1338081.508697
0.4531 (2.2069)1178154.410934
0.4688 (2.1333)3052378.718493
0.4844 (2.0645)4700046.126831
0.5 (2)41295281.081915


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')