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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, 04 Dec 2009 10:30:41 -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/2009/Dec/04/t1259947959qm3b0grtyarwp7m.htm/, Retrieved Sun, 28 Apr 2024 05:13:02 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63953, Retrieved Sun, 28 Apr 2024 05:13:02 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact80

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       [Spectral Analysis] [Identifying Integ...] [2009-11-22 12:42:14] [b98453cac15ba1066b407e146608df68]
-   PD        [Spectral Analysis] [] [2009-11-27 20:12:23] [897115520fe7b6114489bc0eeed64548]
-   P             [Spectral Analysis] [] [2009-12-04 17:30:41] [90c9838c596c9c0a7d0d4c412ffe5b98] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1258
1199
1158
1427
934
709
1186
986
1033
1257
1105
1179
1092
1092
1087
2028
2039
2010
754
760
715
855
971
815
915
843
761
1858
2968
4061
3661
3269
2857
2568
2274
1987
683
381
71
1772
3485
5181
4479
3782
3067
2489
1903
1330
736
483
242
1334
2423
3523
2986
2462
1908
1575
1237
904

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=63953&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=63953&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63953&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)0
Degree of seasonal differencing (D)2
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0167 (60)1306.370845
0.0333 (30)3411.283087
0.05 (20)6586.504684
0.0667 (15)345063.955465
0.0833 (12)1052382.070163
0.1 (10)500558.111763
0.1167 (8.5714)111218.385647
0.1333 (7.5)82013.258681
0.15 (6.6667)1124898.147588
0.1667 (6)2795497.357441
0.1833 (5.4545)402594.307477
0.2 (5)95076.727731
0.2167 (4.6154)383781.713161
0.2333 (4.2857)414884.418673
0.25 (4)693118.269199
0.2667 (3.75)27022.005045
0.2833 (3.5294)189757.914066
0.3 (3.3333)49034.976353
0.3167 (3.1579)456152.554878
0.3333 (3)18053.473294
0.35 (2.8571)203483.987582
0.3667 (2.7273)74611.340472
0.3833 (2.6087)431226.716384
0.4 (2.5)232655.040756
0.4167 (2.4)1241413.031491
0.4333 (2.3077)24331.956095
0.45 (2.2222)965471.992371
0.4667 (2.1429)342965.236924
0.4833 (2.069)633910.485739
0.5 (2)5594836.150484

\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) & 2 \tabularnewline
Seasonal Period (s) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 1306.370845 \tabularnewline
0.0333 (30) & 3411.283087 \tabularnewline
0.05 (20) & 6586.504684 \tabularnewline
0.0667 (15) & 345063.955465 \tabularnewline
0.0833 (12) & 1052382.070163 \tabularnewline
0.1 (10) & 500558.111763 \tabularnewline
0.1167 (8.5714) & 111218.385647 \tabularnewline
0.1333 (7.5) & 82013.258681 \tabularnewline
0.15 (6.6667) & 1124898.147588 \tabularnewline
0.1667 (6) & 2795497.357441 \tabularnewline
0.1833 (5.4545) & 402594.307477 \tabularnewline
0.2 (5) & 95076.727731 \tabularnewline
0.2167 (4.6154) & 383781.713161 \tabularnewline
0.2333 (4.2857) & 414884.418673 \tabularnewline
0.25 (4) & 693118.269199 \tabularnewline
0.2667 (3.75) & 27022.005045 \tabularnewline
0.2833 (3.5294) & 189757.914066 \tabularnewline
0.3 (3.3333) & 49034.976353 \tabularnewline
0.3167 (3.1579) & 456152.554878 \tabularnewline
0.3333 (3) & 18053.473294 \tabularnewline
0.35 (2.8571) & 203483.987582 \tabularnewline
0.3667 (2.7273) & 74611.340472 \tabularnewline
0.3833 (2.6087) & 431226.716384 \tabularnewline
0.4 (2.5) & 232655.040756 \tabularnewline
0.4167 (2.4) & 1241413.031491 \tabularnewline
0.4333 (2.3077) & 24331.956095 \tabularnewline
0.45 (2.2222) & 965471.992371 \tabularnewline
0.4667 (2.1429) & 342965.236924 \tabularnewline
0.4833 (2.069) & 633910.485739 \tabularnewline
0.5 (2) & 5594836.150484 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63953&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]2[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]1306.370845[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]3411.283087[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]6586.504684[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]345063.955465[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]1052382.070163[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]500558.111763[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]111218.385647[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]82013.258681[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]1124898.147588[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]2795497.357441[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]402594.307477[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]95076.727731[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]383781.713161[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]414884.418673[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]693118.269199[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]27022.005045[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]189757.914066[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]49034.976353[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]456152.554878[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]18053.473294[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]203483.987582[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]74611.340472[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]431226.716384[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]232655.040756[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1241413.031491[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]24331.956095[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]965471.992371[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]342965.236924[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]633910.485739[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]5594836.150484[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63953&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63953&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)2
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0167 (60)1306.370845
0.0333 (30)3411.283087
0.05 (20)6586.504684
0.0667 (15)345063.955465
0.0833 (12)1052382.070163
0.1 (10)500558.111763
0.1167 (8.5714)111218.385647
0.1333 (7.5)82013.258681
0.15 (6.6667)1124898.147588
0.1667 (6)2795497.357441
0.1833 (5.4545)402594.307477
0.2 (5)95076.727731
0.2167 (4.6154)383781.713161
0.2333 (4.2857)414884.418673
0.25 (4)693118.269199
0.2667 (3.75)27022.005045
0.2833 (3.5294)189757.914066
0.3 (3.3333)49034.976353
0.3167 (3.1579)456152.554878
0.3333 (3)18053.473294
0.35 (2.8571)203483.987582
0.3667 (2.7273)74611.340472
0.3833 (2.6087)431226.716384
0.4 (2.5)232655.040756
0.4167 (2.4)1241413.031491
0.4333 (2.3077)24331.956095
0.45 (2.2222)965471.992371
0.4667 (2.1429)342965.236924
0.4833 (2.069)633910.485739
0.5 (2)5594836.150484


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 2 ; par4 = 1 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 2 ; par4 = 1 ;
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')