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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 computationMon, 01 Dec 2008 08:46:23 -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/01/t12281464069jiaiwp6mvgt4mu.htm/, Retrieved Sun, 05 May 2024 09:35:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=26953, Retrieved Sun, 05 May 2024 09:35:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact230

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Law of Averages] [Random Walk Simul...] [2008-11-25 18:40:39] [b98453cac15ba1066b407e146608df68]
F       [Law of Averages] [Random Walk Simul...] [2008-11-27 19:45:04] [58bf45a666dc5198906262e8815a9722]
F RMPD    [Standard Deviation-Mean Plot] [Standard Deviatio...] [2008-11-27 22:08:29] [58bf45a666dc5198906262e8815a9722]
- RMPD      [Spectral Analysis] [Spectral Analysis...] [2008-11-27 23:04:22] [58bf45a666dc5198906262e8815a9722]
- R P           [Spectral Analysis] [Q4] [2008-12-01 15:46:23] [461be1b9ba57453336a7ea3097b7d5b5] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
101
88
108
116
104
110
105
107
124
109
102
125
102
101
116
114
115
119
108
110
120
113
111
121
99
104
117
108
122
122
111
111
131
108
118
119
104
105
118
124
123
114
119
116
129
112
123
124
117
110
118
135
127
117
137
130
132
142
122
126

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=26953&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=26953&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26953&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)12
Frequency (Period)Spectrum
0.0167 (60)6.082551
0.0333 (30)1.941143
0.05 (20)1.226396
0.0667 (15)3.919919
0.0833 (12)32.602553
0.1 (10)5.970416
0.1167 (8.5714)0.358131
0.1333 (7.5)12.544647
0.15 (6.6667)12.157077
0.1667 (6)204.748373
0.1833 (5.4545)30.555585
0.2 (5)6.064001
0.2167 (4.6154)15.27164
0.2333 (4.2857)30.700182
0.25 (4)340.142319
0.2667 (3.75)56.630993
0.2833 (3.5294)152.753931
0.3 (3.3333)144.004398
0.3167 (3.1579)206.112155
0.3333 (3)919.831219
0.35 (2.8571)866.842121
0.3667 (2.7273)63.740289
0.3833 (2.6087)62.33013
0.4 (2.5)50.016858
0.4167 (2.4)307.692014
0.4333 (2.3077)73.627839
0.45 (2.2222)15.078035
0.4667 (2.1429)2.573648
0.4833 (2.069)254.401028
0.5 (2)103.952847

\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) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 6.082551 \tabularnewline
0.0333 (30) & 1.941143 \tabularnewline
0.05 (20) & 1.226396 \tabularnewline
0.0667 (15) & 3.919919 \tabularnewline
0.0833 (12) & 32.602553 \tabularnewline
0.1 (10) & 5.970416 \tabularnewline
0.1167 (8.5714) & 0.358131 \tabularnewline
0.1333 (7.5) & 12.544647 \tabularnewline
0.15 (6.6667) & 12.157077 \tabularnewline
0.1667 (6) & 204.748373 \tabularnewline
0.1833 (5.4545) & 30.555585 \tabularnewline
0.2 (5) & 6.064001 \tabularnewline
0.2167 (4.6154) & 15.27164 \tabularnewline
0.2333 (4.2857) & 30.700182 \tabularnewline
0.25 (4) & 340.142319 \tabularnewline
0.2667 (3.75) & 56.630993 \tabularnewline
0.2833 (3.5294) & 152.753931 \tabularnewline
0.3 (3.3333) & 144.004398 \tabularnewline
0.3167 (3.1579) & 206.112155 \tabularnewline
0.3333 (3) & 919.831219 \tabularnewline
0.35 (2.8571) & 866.842121 \tabularnewline
0.3667 (2.7273) & 63.740289 \tabularnewline
0.3833 (2.6087) & 62.33013 \tabularnewline
0.4 (2.5) & 50.016858 \tabularnewline
0.4167 (2.4) & 307.692014 \tabularnewline
0.4333 (2.3077) & 73.627839 \tabularnewline
0.45 (2.2222) & 15.078035 \tabularnewline
0.4667 (2.1429) & 2.573648 \tabularnewline
0.4833 (2.069) & 254.401028 \tabularnewline
0.5 (2) & 103.952847 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=26953&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]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]6.082551[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]1.941143[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]1.226396[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]3.919919[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]32.602553[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]5.970416[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]0.358131[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]12.544647[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]12.157077[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]204.748373[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]30.555585[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]6.064001[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]15.27164[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]30.700182[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]340.142319[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]56.630993[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]152.753931[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]144.004398[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]206.112155[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]919.831219[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]866.842121[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]63.740289[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]62.33013[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]50.016858[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]307.692014[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]73.627839[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]15.078035[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]2.573648[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]254.401028[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]103.952847[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=26953&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=26953&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)12
Frequency (Period)Spectrum
0.0167 (60)6.082551
0.0333 (30)1.941143
0.05 (20)1.226396
0.0667 (15)3.919919
0.0833 (12)32.602553
0.1 (10)5.970416
0.1167 (8.5714)0.358131
0.1333 (7.5)12.544647
0.15 (6.6667)12.157077
0.1667 (6)204.748373
0.1833 (5.4545)30.555585
0.2 (5)6.064001
0.2167 (4.6154)15.27164
0.2333 (4.2857)30.700182
0.25 (4)340.142319
0.2667 (3.75)56.630993
0.2833 (3.5294)152.753931
0.3 (3.3333)144.004398
0.3167 (3.1579)206.112155
0.3333 (3)919.831219
0.35 (2.8571)866.842121
0.3667 (2.7273)63.740289
0.3833 (2.6087)62.33013
0.4 (2.5)50.016858
0.4167 (2.4)307.692014
0.4333 (2.3077)73.627839
0.45 (2.2222)15.078035
0.4667 (2.1429)2.573648
0.4833 (2.069)254.401028
0.5 (2)103.952847


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; 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')