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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, 12 Dec 2013 03:38:58 -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/2013/Dec/12/t138683754804wzksbkrj5i940.htm/, Retrieved Tue, 07 Dec 2021 11:48:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232216, Retrieved Tue, 07 Dec 2021 11:48:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [] [2013-12-12 08:38:58] [9e6a405f514733ea23d87e4507d39d29] [Current]
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Dataseries X:
164
96
73
49
39
59
169
169
210
278
298
245
200
188
90
79
78
91
167
169
289
247
275
203
223
104
107
85
75
99
135
211
335
488
326
346
261
224
141
148
145
223
272
445
560
612
467
404
518
404
300
210
196
186
247
343
464
680
711
610
513
292
273
322
189
257
324
404
677
858
895
664
628
308
324
248
272




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 3 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232216&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232216&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232216&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 time3 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net







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
0.0125 (80)23824.454122
0.025 (40)9087.885085
0.0375 (26.6667)23341.723379
0.05 (20)17595.198963
0.0625 (16)27927.207272
0.075 (13.3333)222962.576944
0.0875 (11.4286)395778.791177
0.1 (10)40409.451018
0.1125 (8.8889)23116.608757
0.125 (8)3908.822505
0.1375 (7.2727)6886.054625
0.15 (6.6667)14469.927726
0.1625 (6.1538)26883.325763
0.175 (5.7143)2710.961223
0.1875 (5.3333)11020.568207
0.2 (5)6529.958785
0.2125 (4.7059)978.522413
0.225 (4.4444)836.690281
0.2375 (4.2105)4319.418938
0.25 (4)2821.06315
0.2625 (3.8095)2407.005711
0.275 (3.6364)483.199169
0.2875 (3.4783)2255.386578
0.3 (3.3333)1622.718967
0.3125 (3.2)28.693379
0.325 (3.0769)2726.413771
0.3375 (2.963)6282.602734
0.35 (2.8571)981.724363
0.3625 (2.7586)961.901049
0.375 (2.6667)169.285686
0.3875 (2.5806)62.970686
0.4 (2.5)2588.626144
0.4125 (2.4242)1599.19918
0.425 (2.3529)1218.772446
0.4375 (2.2857)1931.689391
0.45 (2.2222)870.522001
0.4625 (2.1622)5208.539363
0.475 (2.1053)1255.33308
0.4875 (2.0513)2070.179404
0.5 (2)775.252478

\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
0.0125 (80) & 23824.454122 \tabularnewline
0.025 (40) & 9087.885085 \tabularnewline
0.0375 (26.6667) & 23341.723379 \tabularnewline
0.05 (20) & 17595.198963 \tabularnewline
0.0625 (16) & 27927.207272 \tabularnewline
0.075 (13.3333) & 222962.576944 \tabularnewline
0.0875 (11.4286) & 395778.791177 \tabularnewline
0.1 (10) & 40409.451018 \tabularnewline
0.1125 (8.8889) & 23116.608757 \tabularnewline
0.125 (8) & 3908.822505 \tabularnewline
0.1375 (7.2727) & 6886.054625 \tabularnewline
0.15 (6.6667) & 14469.927726 \tabularnewline
0.1625 (6.1538) & 26883.325763 \tabularnewline
0.175 (5.7143) & 2710.961223 \tabularnewline
0.1875 (5.3333) & 11020.568207 \tabularnewline
0.2 (5) & 6529.958785 \tabularnewline
0.2125 (4.7059) & 978.522413 \tabularnewline
0.225 (4.4444) & 836.690281 \tabularnewline
0.2375 (4.2105) & 4319.418938 \tabularnewline
0.25 (4) & 2821.06315 \tabularnewline
0.2625 (3.8095) & 2407.005711 \tabularnewline
0.275 (3.6364) & 483.199169 \tabularnewline
0.2875 (3.4783) & 2255.386578 \tabularnewline
0.3 (3.3333) & 1622.718967 \tabularnewline
0.3125 (3.2) & 28.693379 \tabularnewline
0.325 (3.0769) & 2726.413771 \tabularnewline
0.3375 (2.963) & 6282.602734 \tabularnewline
0.35 (2.8571) & 981.724363 \tabularnewline
0.3625 (2.7586) & 961.901049 \tabularnewline
0.375 (2.6667) & 169.285686 \tabularnewline
0.3875 (2.5806) & 62.970686 \tabularnewline
0.4 (2.5) & 2588.626144 \tabularnewline
0.4125 (2.4242) & 1599.19918 \tabularnewline
0.425 (2.3529) & 1218.772446 \tabularnewline
0.4375 (2.2857) & 1931.689391 \tabularnewline
0.45 (2.2222) & 870.522001 \tabularnewline
0.4625 (2.1622) & 5208.539363 \tabularnewline
0.475 (2.1053) & 1255.33308 \tabularnewline
0.4875 (2.0513) & 2070.179404 \tabularnewline
0.5 (2) & 775.252478 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232216&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]0.0125 (80)[/C][C]23824.454122[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]9087.885085[/C][/ROW]
[ROW][C]0.0375 (26.6667)[/C][C]23341.723379[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]17595.198963[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]27927.207272[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]222962.576944[/C][/ROW]
[ROW][C]0.0875 (11.4286)[/C][C]395778.791177[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]40409.451018[/C][/ROW]
[ROW][C]0.1125 (8.8889)[/C][C]23116.608757[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]3908.822505[/C][/ROW]
[ROW][C]0.1375 (7.2727)[/C][C]6886.054625[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]14469.927726[/C][/ROW]
[ROW][C]0.1625 (6.1538)[/C][C]26883.325763[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]2710.961223[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]11020.568207[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]6529.958785[/C][/ROW]
[ROW][C]0.2125 (4.7059)[/C][C]978.522413[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]836.690281[/C][/ROW]
[ROW][C]0.2375 (4.2105)[/C][C]4319.418938[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]2821.06315[/C][/ROW]
[ROW][C]0.2625 (3.8095)[/C][C]2407.005711[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]483.199169[/C][/ROW]
[ROW][C]0.2875 (3.4783)[/C][C]2255.386578[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1622.718967[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]28.693379[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]2726.413771[/C][/ROW]
[ROW][C]0.3375 (2.963)[/C][C]6282.602734[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]981.724363[/C][/ROW]
[ROW][C]0.3625 (2.7586)[/C][C]961.901049[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]169.285686[/C][/ROW]
[ROW][C]0.3875 (2.5806)[/C][C]62.970686[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]2588.626144[/C][/ROW]
[ROW][C]0.4125 (2.4242)[/C][C]1599.19918[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]1218.772446[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]1931.689391[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]870.522001[/C][/ROW]
[ROW][C]0.4625 (2.1622)[/C][C]5208.539363[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]1255.33308[/C][/ROW]
[ROW][C]0.4875 (2.0513)[/C][C]2070.179404[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]775.252478[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232216&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232216&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0125 (80)23824.454122
0.025 (40)9087.885085
0.0375 (26.6667)23341.723379
0.05 (20)17595.198963
0.0625 (16)27927.207272
0.075 (13.3333)222962.576944
0.0875 (11.4286)395778.791177
0.1 (10)40409.451018
0.1125 (8.8889)23116.608757
0.125 (8)3908.822505
0.1375 (7.2727)6886.054625
0.15 (6.6667)14469.927726
0.1625 (6.1538)26883.325763
0.175 (5.7143)2710.961223
0.1875 (5.3333)11020.568207
0.2 (5)6529.958785
0.2125 (4.7059)978.522413
0.225 (4.4444)836.690281
0.2375 (4.2105)4319.418938
0.25 (4)2821.06315
0.2625 (3.8095)2407.005711
0.275 (3.6364)483.199169
0.2875 (3.4783)2255.386578
0.3 (3.3333)1622.718967
0.3125 (3.2)28.693379
0.325 (3.0769)2726.413771
0.3375 (2.963)6282.602734
0.35 (2.8571)981.724363
0.3625 (2.7586)961.901049
0.375 (2.6667)169.285686
0.3875 (2.5806)62.970686
0.4 (2.5)2588.626144
0.4125 (2.4242)1599.19918
0.425 (2.3529)1218.772446
0.4375 (2.2857)1931.689391
0.45 (2.2222)870.522001
0.4625 (2.1622)5208.539363
0.475 (2.1053)1255.33308
0.4875 (2.0513)2070.179404
0.5 (2)775.252478



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')