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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 computationThu, 01 Dec 2011 08:36:20 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/01/t1322746605zw755i9a5jjemu9.htm/, Retrieved Fri, 29 Mar 2024 09:32:09 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149560, Retrieved Fri, 29 Mar 2024 09:32:09 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [Workshop9: ACF] [2011-12-01 13:18:49] [09e53a95f5780167f20e6b4304200573]
- R PD  [(Partial) Autocorrelation Function] [Workshop 9: ACF d=1] [2011-12-01 13:23:51] [09e53a95f5780167f20e6b4304200573]
-   P     [(Partial) Autocorrelation Function] [Workshop 9: ACF D=1] [2011-12-01 13:27:55] [09e53a95f5780167f20e6b4304200573]
- RMPD        [Spectral Analysis] [Workshop9: Spectr...] [2011-12-01 13:36:20] [9431a512beb885c6943db1a049152d0e] [Current]
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Dataseries X:
117541,78
116587
116809
122819,55
116955
117186
117265
117536
117781
117928
120437,52
121753,21
119369,88
118622
118885
124998,3
119369
119647
119879
120075
120295
120538
123250,68
124631,03
122443,31
121532
121844
128241,75
122391
122644
122927
122909
123417
123756
126540,18
128088,74
125874,28
124817
124961
131499,9
125639
125851
125970
126322
126540
126733
129557,34
131179,77
128754,8
127890
127996
134790,6
128585
128851
129142
129334
129536
129944
132842,76
134447,96
132088,81
130902
131374
138243
131885
131839
132002
132005
132127
132116
134993,94
136459,55




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149560&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149560&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149560&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' @ jenkins.wessa.net







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
0.0167 (60)14891.338488
0.0333 (30)19935.368883
0.05 (20)18645.914064
0.0667 (15)6103.0692
0.0833 (12)16791.641562
0.1 (10)16756.156342
0.1167 (8.5714)16922.578535
0.1333 (7.5)21024.759484
0.15 (6.6667)15672.58662
0.1667 (6)23889.513699
0.1833 (5.4545)4186.584739
0.2 (5)31958.415392
0.2167 (4.6154)29727.507193
0.2333 (4.2857)5189.915825
0.25 (4)76162.239066
0.2667 (3.75)36592.405566
0.2833 (3.5294)32809.009815
0.3 (3.3333)65733.9633
0.3167 (3.1579)5443.07645
0.3333 (3)48089.592464
0.35 (2.8571)3182.671551
0.3667 (2.7273)193586.344582
0.3833 (2.6087)3973.346421
0.4 (2.5)4757.369768
0.4167 (2.4)17038.703471
0.4333 (2.3077)13349.895367
0.45 (2.2222)12812.902693
0.4667 (2.1429)61180.710234
0.4833 (2.069)110226.321659
0.5 (2)222.378449

\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
0.0167 (60) & 14891.338488 \tabularnewline
0.0333 (30) & 19935.368883 \tabularnewline
0.05 (20) & 18645.914064 \tabularnewline
0.0667 (15) & 6103.0692 \tabularnewline
0.0833 (12) & 16791.641562 \tabularnewline
0.1 (10) & 16756.156342 \tabularnewline
0.1167 (8.5714) & 16922.578535 \tabularnewline
0.1333 (7.5) & 21024.759484 \tabularnewline
0.15 (6.6667) & 15672.58662 \tabularnewline
0.1667 (6) & 23889.513699 \tabularnewline
0.1833 (5.4545) & 4186.584739 \tabularnewline
0.2 (5) & 31958.415392 \tabularnewline
0.2167 (4.6154) & 29727.507193 \tabularnewline
0.2333 (4.2857) & 5189.915825 \tabularnewline
0.25 (4) & 76162.239066 \tabularnewline
0.2667 (3.75) & 36592.405566 \tabularnewline
0.2833 (3.5294) & 32809.009815 \tabularnewline
0.3 (3.3333) & 65733.9633 \tabularnewline
0.3167 (3.1579) & 5443.07645 \tabularnewline
0.3333 (3) & 48089.592464 \tabularnewline
0.35 (2.8571) & 3182.671551 \tabularnewline
0.3667 (2.7273) & 193586.344582 \tabularnewline
0.3833 (2.6087) & 3973.346421 \tabularnewline
0.4 (2.5) & 4757.369768 \tabularnewline
0.4167 (2.4) & 17038.703471 \tabularnewline
0.4333 (2.3077) & 13349.895367 \tabularnewline
0.45 (2.2222) & 12812.902693 \tabularnewline
0.4667 (2.1429) & 61180.710234 \tabularnewline
0.4833 (2.069) & 110226.321659 \tabularnewline
0.5 (2) & 222.378449 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149560&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]0.0167 (60)[/C][C]14891.338488[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]19935.368883[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]18645.914064[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]6103.0692[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]16791.641562[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]16756.156342[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]16922.578535[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]21024.759484[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]15672.58662[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]23889.513699[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]4186.584739[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]31958.415392[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]29727.507193[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]5189.915825[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]76162.239066[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]36592.405566[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]32809.009815[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]65733.9633[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]5443.07645[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]48089.592464[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]3182.671551[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]193586.344582[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]3973.346421[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]4757.369768[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]17038.703471[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]13349.895367[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]12812.902693[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]61180.710234[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]110226.321659[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]222.378449[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149560&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149560&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
0.0167 (60)14891.338488
0.0333 (30)19935.368883
0.05 (20)18645.914064
0.0667 (15)6103.0692
0.0833 (12)16791.641562
0.1 (10)16756.156342
0.1167 (8.5714)16922.578535
0.1333 (7.5)21024.759484
0.15 (6.6667)15672.58662
0.1667 (6)23889.513699
0.1833 (5.4545)4186.584739
0.2 (5)31958.415392
0.2167 (4.6154)29727.507193
0.2333 (4.2857)5189.915825
0.25 (4)76162.239066
0.2667 (3.75)36592.405566
0.2833 (3.5294)32809.009815
0.3 (3.3333)65733.9633
0.3167 (3.1579)5443.07645
0.3333 (3)48089.592464
0.35 (2.8571)3182.671551
0.3667 (2.7273)193586.344582
0.3833 (2.6087)3973.346421
0.4 (2.5)4757.369768
0.4167 (2.4)17038.703471
0.4333 (2.3077)13349.895367
0.45 (2.2222)12812.902693
0.4667 (2.1429)61180.710234
0.4833 (2.069)110226.321659
0.5 (2)222.378449



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')