Free Statistics

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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationTue, 24 Nov 2009 11:54:49 -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/24/t1259088934vm1e61dd7bdx23p.htm/, Retrieved Fri, 14 Jun 2024 18:18:05 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59224, Retrieved Fri, 14 Jun 2024 18:18:05 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact217
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] [SHWWS8methode3b] [2009-11-24 18:54:49] [db49399df1e4a3dbe31268849cebfd7f] [Current]
-   P             [Spectral Analysis] [SHWPaper1] [2009-12-04 14:32:56] [a66d3a79ef9e5308cd94a469bc5ca464]
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Dataseries X:
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
117
111
105
102
95
93
124
130
124
115
106
105
105
101
95
93
84
87
116
120
117
109
105
107
109
109
108
107
99
103
131
137




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=59224&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=59224&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59224&T=0

As an alternative you can also use a 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)7.406609
0.0417 (24)1.048276
0.0625 (16)6.001488
0.0833 (12)25.457459
0.1042 (9.6)12.792042
0.125 (8)12.255011
0.1458 (6.8571)0.342254
0.1667 (6)2.349998
0.1875 (5.3333)6.461808
0.2083 (4.8)2.953607
0.2292 (4.3636)4.964585
0.25 (4)0.097297
0.2708 (3.6923)14.793108
0.2917 (3.4286)14.198467
0.3125 (3.2)2.952977
0.3333 (3)1.153205
0.3542 (2.8235)19.923578
0.375 (2.6667)2.391187
0.3958 (2.5263)2.093908
0.4167 (2.4)5.025813
0.4375 (2.2857)8.048241
0.4583 (2.1818)40.16858
0.4792 (2.087)9.792004
0.5 (2)2.660288

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0208 (48) & 7.406609 \tabularnewline
0.0417 (24) & 1.048276 \tabularnewline
0.0625 (16) & 6.001488 \tabularnewline
0.0833 (12) & 25.457459 \tabularnewline
0.1042 (9.6) & 12.792042 \tabularnewline
0.125 (8) & 12.255011 \tabularnewline
0.1458 (6.8571) & 0.342254 \tabularnewline
0.1667 (6) & 2.349998 \tabularnewline
0.1875 (5.3333) & 6.461808 \tabularnewline
0.2083 (4.8) & 2.953607 \tabularnewline
0.2292 (4.3636) & 4.964585 \tabularnewline
0.25 (4) & 0.097297 \tabularnewline
0.2708 (3.6923) & 14.793108 \tabularnewline
0.2917 (3.4286) & 14.198467 \tabularnewline
0.3125 (3.2) & 2.952977 \tabularnewline
0.3333 (3) & 1.153205 \tabularnewline
0.3542 (2.8235) & 19.923578 \tabularnewline
0.375 (2.6667) & 2.391187 \tabularnewline
0.3958 (2.5263) & 2.093908 \tabularnewline
0.4167 (2.4) & 5.025813 \tabularnewline
0.4375 (2.2857) & 8.048241 \tabularnewline
0.4583 (2.1818) & 40.16858 \tabularnewline
0.4792 (2.087) & 9.792004 \tabularnewline
0.5 (2) & 2.660288 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59224&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]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]7.406609[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]1.048276[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]6.001488[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]25.457459[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]12.792042[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]12.255011[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]0.342254[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]2.349998[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]6.461808[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]2.953607[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]4.964585[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]0.097297[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]14.793108[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]14.198467[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]2.952977[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1.153205[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]19.923578[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]2.391187[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]2.093908[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]5.025813[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]8.048241[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]40.16858[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]9.792004[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2.660288[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59224&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59224&T=1

As an alternative you can also use a 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)7.406609
0.0417 (24)1.048276
0.0625 (16)6.001488
0.0833 (12)25.457459
0.1042 (9.6)12.792042
0.125 (8)12.255011
0.1458 (6.8571)0.342254
0.1667 (6)2.349998
0.1875 (5.3333)6.461808
0.2083 (4.8)2.953607
0.2292 (4.3636)4.964585
0.25 (4)0.097297
0.2708 (3.6923)14.793108
0.2917 (3.4286)14.198467
0.3125 (3.2)2.952977
0.3333 (3)1.153205
0.3542 (2.8235)19.923578
0.375 (2.6667)2.391187
0.3958 (2.5263)2.093908
0.4167 (2.4)5.025813
0.4375 (2.2857)8.048241
0.4583 (2.1818)40.16858
0.4792 (2.087)9.792004
0.5 (2)2.660288



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