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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, 27 Nov 2009 06:02:40 -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/Nov/27/t12593270063p9mghx39qonk9w.htm/, Retrieved Sun, 28 Apr 2024 23:14:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60696, Retrieved Sun, 28 Apr 2024 23:14:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact151

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 12:38:17] [b98453cac15ba1066b407e146608df68]
-    D          [Spectral Analysis] [Ws 8 spectrum] [2009-11-27 13:02:40] [51d49d3536f6a59f2486a67bf50b2759] [Current]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1901
1395
1639
1643
1751
1797
1373
1558
1555
2061
2010
2119
1985
1963
2017
1975
1589
1679
1392
1511
1449
1767
1899
2179
2217
2049
2343
2175
1607
1702
1764
1766
1615
1953
2091
2411
2550
2351
2786
2525
2474
2332
1978
1789
1904
1997
2207
2453
1948
1384
1989
2140
2100
2045
2083
2022
1950
1422
1859
2147

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=60696&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=60696&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60696&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)212881.298966
0.0333 (30)281036.740595
0.05 (20)51423.805078
0.0667 (15)494763.334862
0.0833 (12)753628.5637
0.1 (10)61716.138939
0.1167 (8.5714)39266.334289
0.1333 (7.5)92453.510587
0.15 (6.6667)31777.031004
0.1667 (6)131465.462002
0.1833 (5.4545)45780.093378
0.2 (5)37194.285473
0.2167 (4.6154)35633.652005
0.2333 (4.2857)59950.762464
0.25 (4)70198.038743
0.2667 (3.75)1457.324247
0.2833 (3.5294)38526.20623
0.3 (3.3333)21729.340571
0.3167 (3.1579)1087.63765
0.3333 (3)69483.213958
0.35 (2.8571)32417.626697
0.3667 (2.7273)1647.974015
0.3833 (2.6087)2599.882846
0.4 (2.5)17.148927
0.4167 (2.4)53099.821404
0.4333 (2.3077)9097.336737
0.45 (2.2222)7073.307838
0.4667 (2.1429)4055.295241
0.4833 (2.069)44184.000326
0.5 (2)8328.20127

\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
0.0167 (60) & 212881.298966 \tabularnewline
0.0333 (30) & 281036.740595 \tabularnewline
0.05 (20) & 51423.805078 \tabularnewline
0.0667 (15) & 494763.334862 \tabularnewline
0.0833 (12) & 753628.5637 \tabularnewline
0.1 (10) & 61716.138939 \tabularnewline
0.1167 (8.5714) & 39266.334289 \tabularnewline
0.1333 (7.5) & 92453.510587 \tabularnewline
0.15 (6.6667) & 31777.031004 \tabularnewline
0.1667 (6) & 131465.462002 \tabularnewline
0.1833 (5.4545) & 45780.093378 \tabularnewline
0.2 (5) & 37194.285473 \tabularnewline
0.2167 (4.6154) & 35633.652005 \tabularnewline
0.2333 (4.2857) & 59950.762464 \tabularnewline
0.25 (4) & 70198.038743 \tabularnewline
0.2667 (3.75) & 1457.324247 \tabularnewline
0.2833 (3.5294) & 38526.20623 \tabularnewline
0.3 (3.3333) & 21729.340571 \tabularnewline
0.3167 (3.1579) & 1087.63765 \tabularnewline
0.3333 (3) & 69483.213958 \tabularnewline
0.35 (2.8571) & 32417.626697 \tabularnewline
0.3667 (2.7273) & 1647.974015 \tabularnewline
0.3833 (2.6087) & 2599.882846 \tabularnewline
0.4 (2.5) & 17.148927 \tabularnewline
0.4167 (2.4) & 53099.821404 \tabularnewline
0.4333 (2.3077) & 9097.336737 \tabularnewline
0.45 (2.2222) & 7073.307838 \tabularnewline
0.4667 (2.1429) & 4055.295241 \tabularnewline
0.4833 (2.069) & 44184.000326 \tabularnewline
0.5 (2) & 8328.20127 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60696&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]0.0167 (60)[/C][C]212881.298966[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]281036.740595[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]51423.805078[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]494763.334862[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]753628.5637[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]61716.138939[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]39266.334289[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]92453.510587[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]31777.031004[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]131465.462002[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]45780.093378[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]37194.285473[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]35633.652005[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]59950.762464[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]70198.038743[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]1457.324247[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]38526.20623[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]21729.340571[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]1087.63765[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]69483.213958[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]32417.626697[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]1647.974015[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]2599.882846[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]17.148927[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]53099.821404[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]9097.336737[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]7073.307838[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]4055.295241[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]44184.000326[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]8328.20127[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60696&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60696&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
0.0167 (60)212881.298966
0.0333 (30)281036.740595
0.05 (20)51423.805078
0.0667 (15)494763.334862
0.0833 (12)753628.5637
0.1 (10)61716.138939
0.1167 (8.5714)39266.334289
0.1333 (7.5)92453.510587
0.15 (6.6667)31777.031004
0.1667 (6)131465.462002
0.1833 (5.4545)45780.093378
0.2 (5)37194.285473
0.2167 (4.6154)35633.652005
0.2333 (4.2857)59950.762464
0.25 (4)70198.038743
0.2667 (3.75)1457.324247
0.2833 (3.5294)38526.20623
0.3 (3.3333)21729.340571
0.3167 (3.1579)1087.63765
0.3333 (3)69483.213958
0.35 (2.8571)32417.626697
0.3667 (2.7273)1647.974015
0.3833 (2.6087)2599.882846
0.4 (2.5)17.148927
0.4167 (2.4)53099.821404
0.4333 (2.3077)9097.336737
0.45 (2.2222)7073.307838
0.4667 (2.1429)4055.295241
0.4833 (2.069)44184.000326
0.5 (2)8328.20127


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 ;
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')