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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 computationSat, 19 Dec 2009 06:42:52 -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/19/t1261230231di3ayt4cfviegpe.htm/, Retrieved Fri, 03 May 2024 17:29:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=69586, Retrieved Fri, 03 May 2024 17:29:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137

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 12:46:04] [b98453cac15ba1066b407e146608df68]
-    D        [Spectral Analysis] [WS8-spectrum3] [2009-11-27 08:48:13] [a94022e7c2399c0f4d62eea578db3411]
-               [Spectral Analysis] [Ws9spec1] [2009-12-04 12:52:04] [a94022e7c2399c0f4d62eea578db3411]
-   PD            [Spectral Analysis] [WS9: Spectral Ana...] [2009-12-04 18:30:05] [5c968c05ca472afa314d272082b56b09]
-   PD                [Spectral Analysis] [d=D=0] [2009-12-19 13:42:52] [91df150cd527c563f0151b3a845ecd72] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
113
110
107
103
98
98
137
148
147
139
130
128
127
123
118
114
108
111
151
159
158
148
138
137
136
133
126
120
114
116
153
162
161
149
139
135
130
127
122
117
112
113
149
157
157
147
137
132
125
123
117
114
111
112
144
150
149
134
123
116

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=69586&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=69586&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69586&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)1.3
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)11377.137504
0.0333 (30)65.820291
0.05 (20)880.445807
0.0667 (15)875.412341
0.0833 (12)97971.269011
0.1 (10)1507.622071
0.1167 (8.5714)998.398298
0.1333 (7.5)594.20184
0.15 (6.6667)372.101073
0.1667 (6)34501.846885
0.1833 (5.4545)111.559122
0.2 (5)47.990815
0.2167 (4.6154)38.259162
0.2333 (4.2857)42.654509
0.25 (4)5545.668755
0.2667 (3.75)1.845539
0.2833 (3.5294)11.88201
0.3 (3.3333)5.068215
0.3167 (3.1579)11.806906
0.3333 (3)2128.525977
0.35 (2.8571)61.218979
0.3667 (2.7273)10.50776
0.3833 (2.6087)0.224309
0.4 (2.5)3.149853
0.4167 (2.4)2218.211844
0.4333 (2.3077)9.491073
0.45 (2.2222)13.461347
0.4667 (2.1429)4.719477
0.4833 (2.069)1.870564
0.5 (2)1276.744876

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1.3 \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) & 11377.137504 \tabularnewline
0.0333 (30) & 65.820291 \tabularnewline
0.05 (20) & 880.445807 \tabularnewline
0.0667 (15) & 875.412341 \tabularnewline
0.0833 (12) & 97971.269011 \tabularnewline
0.1 (10) & 1507.622071 \tabularnewline
0.1167 (8.5714) & 998.398298 \tabularnewline
0.1333 (7.5) & 594.20184 \tabularnewline
0.15 (6.6667) & 372.101073 \tabularnewline
0.1667 (6) & 34501.846885 \tabularnewline
0.1833 (5.4545) & 111.559122 \tabularnewline
0.2 (5) & 47.990815 \tabularnewline
0.2167 (4.6154) & 38.259162 \tabularnewline
0.2333 (4.2857) & 42.654509 \tabularnewline
0.25 (4) & 5545.668755 \tabularnewline
0.2667 (3.75) & 1.845539 \tabularnewline
0.2833 (3.5294) & 11.88201 \tabularnewline
0.3 (3.3333) & 5.068215 \tabularnewline
0.3167 (3.1579) & 11.806906 \tabularnewline
0.3333 (3) & 2128.525977 \tabularnewline
0.35 (2.8571) & 61.218979 \tabularnewline
0.3667 (2.7273) & 10.50776 \tabularnewline
0.3833 (2.6087) & 0.224309 \tabularnewline
0.4 (2.5) & 3.149853 \tabularnewline
0.4167 (2.4) & 2218.211844 \tabularnewline
0.4333 (2.3077) & 9.491073 \tabularnewline
0.45 (2.2222) & 13.461347 \tabularnewline
0.4667 (2.1429) & 4.719477 \tabularnewline
0.4833 (2.069) & 1.870564 \tabularnewline
0.5 (2) & 1276.744876 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=69586&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]1.3[/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]11377.137504[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]65.820291[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]880.445807[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]875.412341[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]97971.269011[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]1507.622071[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]998.398298[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]594.20184[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]372.101073[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]34501.846885[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]111.559122[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]47.990815[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]38.259162[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]42.654509[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]5545.668755[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]1.845539[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]11.88201[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]5.068215[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]11.806906[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]2128.525977[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]61.218979[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]10.50776[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]0.224309[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]3.149853[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2218.211844[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]9.491073[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]13.461347[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]4.719477[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]1.870564[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1276.744876[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=69586&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=69586&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)1.3
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)11377.137504
0.0333 (30)65.820291
0.05 (20)880.445807
0.0667 (15)875.412341
0.0833 (12)97971.269011
0.1 (10)1507.622071
0.1167 (8.5714)998.398298
0.1333 (7.5)594.20184
0.15 (6.6667)372.101073
0.1667 (6)34501.846885
0.1833 (5.4545)111.559122
0.2 (5)47.990815
0.2167 (4.6154)38.259162
0.2333 (4.2857)42.654509
0.25 (4)5545.668755
0.2667 (3.75)1.845539
0.2833 (3.5294)11.88201
0.3 (3.3333)5.068215
0.3167 (3.1579)11.806906
0.3333 (3)2128.525977
0.35 (2.8571)61.218979
0.3667 (2.7273)10.50776
0.3833 (2.6087)0.224309
0.4 (2.5)3.149853
0.4167 (2.4)2218.211844
0.4333 (2.3077)9.491073
0.45 (2.2222)13.461347
0.4667 (2.1429)4.719477
0.4833 (2.069)1.870564
0.5 (2)1276.744876


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1.3 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1.3 ; 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')