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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 computationThu, 16 Dec 2010 14:23:50 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/16/t1292509520gd5oopw90m6dson.htm/, Retrieved Fri, 03 May 2024 12:01:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110960, Retrieved Fri, 03 May 2024 12:01:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
-    D    [Spectral Analysis] [] [2010-12-14 13:31:02] [897115520fe7b6114489bc0eeed64548]
-           [Spectral Analysis] [] [2010-12-15 11:09:43] [bfba28641a1925a39268a5d6ad3b00f2]
-    D          [Spectral Analysis] [] [2010-12-16 14:23:50] [d1991ab4912b5ede0ff54c26afa5d84c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2260
2498
2695
2799
2947
2930
2318
2540
2570
2669
2450
2842
3440
2678
2981
2260
2844
2546
2456
2295
2379
2479
2057
2280
2351
2276
2548
2311
2201
2725
2408
2139
1898
2539
2069
2063
2565
2442
2194
2798
2074
2628
2289
2154
2466
2137
1846
2072
1786
1754
2226
1947
1823
2521
2072
2368
2164
2095
1834
1856
2017

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110960&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110960&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110960&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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






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
0.0156 (64)23071.324534
0.0312 (32)86245.247253
0.0469 (21.3333)163788.482088
0.0625 (16)96905.402375
0.0781 (12.8)311200.004007
0.0938 (10.6667)29110.979838
0.1094 (9.1429)13959.073044
0.125 (8)102201.516891
0.1406 (7.1111)25469.638363
0.1562 (6.4)41374.988191
0.1719 (5.8182)685.488614
0.1875 (5.3333)13057.820764
0.2031 (4.9231)2089.325047
0.2188 (4.5714)29724.900685
0.2344 (4.2667)115643.582067
0.25 (4)96487.198177
0.2656 (3.7647)2599.381429
0.2812 (3.5556)75534.834099
0.2969 (3.3684)38114.519478
0.3125 (3.2)34102.37903
0.3281 (3.0476)127840.151927
0.3438 (2.9091)118649.13327
0.3594 (2.7826)111824.733836
0.375 (2.6667)77162.133441
0.3906 (2.56)26385.373508
0.4062 (2.4615)121028.690093
0.4219 (2.3704)34279.450463
0.4375 (2.2857)147612.193196
0.4531 (2.2069)11288.123813
0.4688 (2.1333)62499.225625
0.4844 (2.0645)97313.045629
0.5 (2)42872.189349

\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
0.0156 (64) & 23071.324534 \tabularnewline
0.0312 (32) & 86245.247253 \tabularnewline
0.0469 (21.3333) & 163788.482088 \tabularnewline
0.0625 (16) & 96905.402375 \tabularnewline
0.0781 (12.8) & 311200.004007 \tabularnewline
0.0938 (10.6667) & 29110.979838 \tabularnewline
0.1094 (9.1429) & 13959.073044 \tabularnewline
0.125 (8) & 102201.516891 \tabularnewline
0.1406 (7.1111) & 25469.638363 \tabularnewline
0.1562 (6.4) & 41374.988191 \tabularnewline
0.1719 (5.8182) & 685.488614 \tabularnewline
0.1875 (5.3333) & 13057.820764 \tabularnewline
0.2031 (4.9231) & 2089.325047 \tabularnewline
0.2188 (4.5714) & 29724.900685 \tabularnewline
0.2344 (4.2667) & 115643.582067 \tabularnewline
0.25 (4) & 96487.198177 \tabularnewline
0.2656 (3.7647) & 2599.381429 \tabularnewline
0.2812 (3.5556) & 75534.834099 \tabularnewline
0.2969 (3.3684) & 38114.519478 \tabularnewline
0.3125 (3.2) & 34102.37903 \tabularnewline
0.3281 (3.0476) & 127840.151927 \tabularnewline
0.3438 (2.9091) & 118649.13327 \tabularnewline
0.3594 (2.7826) & 111824.733836 \tabularnewline
0.375 (2.6667) & 77162.133441 \tabularnewline
0.3906 (2.56) & 26385.373508 \tabularnewline
0.4062 (2.4615) & 121028.690093 \tabularnewline
0.4219 (2.3704) & 34279.450463 \tabularnewline
0.4375 (2.2857) & 147612.193196 \tabularnewline
0.4531 (2.2069) & 11288.123813 \tabularnewline
0.4688 (2.1333) & 62499.225625 \tabularnewline
0.4844 (2.0645) & 97313.045629 \tabularnewline
0.5 (2) & 42872.189349 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110960&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]0.0156 (64)[/C][C]23071.324534[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]86245.247253[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]163788.482088[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]96905.402375[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]311200.004007[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]29110.979838[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]13959.073044[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]102201.516891[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]25469.638363[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]41374.988191[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]685.488614[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]13057.820764[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]2089.325047[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]29724.900685[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]115643.582067[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]96487.198177[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]2599.381429[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]75534.834099[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]38114.519478[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]34102.37903[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]127840.151927[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]118649.13327[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]111824.733836[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]77162.133441[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]26385.373508[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]121028.690093[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]34279.450463[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]147612.193196[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]11288.123813[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]62499.225625[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]97313.045629[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]42872.189349[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110960&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110960&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)23071.324534
0.0312 (32)86245.247253
0.0469 (21.3333)163788.482088
0.0625 (16)96905.402375
0.0781 (12.8)311200.004007
0.0938 (10.6667)29110.979838
0.1094 (9.1429)13959.073044
0.125 (8)102201.516891
0.1406 (7.1111)25469.638363
0.1562 (6.4)41374.988191
0.1719 (5.8182)685.488614
0.1875 (5.3333)13057.820764
0.2031 (4.9231)2089.325047
0.2188 (4.5714)29724.900685
0.2344 (4.2667)115643.582067
0.25 (4)96487.198177
0.2656 (3.7647)2599.381429
0.2812 (3.5556)75534.834099
0.2969 (3.3684)38114.519478
0.3125 (3.2)34102.37903
0.3281 (3.0476)127840.151927
0.3438 (2.9091)118649.13327
0.3594 (2.7826)111824.733836
0.375 (2.6667)77162.133441
0.3906 (2.56)26385.373508
0.4062 (2.4615)121028.690093
0.4219 (2.3704)34279.450463
0.4375 (2.2857)147612.193196
0.4531 (2.2069)11288.123813
0.4688 (2.1333)62499.225625
0.4844 (2.0645)97313.045629
0.5 (2)42872.189349


Figures (Output of Computation)

Input Parameters & R Code

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')