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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, 22 Dec 2011 06:17:06 -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/22/t1324552672ozwi5kqsdri4gg7.htm/, Retrieved Fri, 03 May 2024 05:55:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159321, Retrieved Fri, 03 May 2024 05:55:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66

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]
-   PD      [Spectral Analysis] [Paper - Spectral ...] [2011-12-22 11:17:06] [850c8b4f3ff1a893cc2b9e9f060c8f7e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
283495
279998
287224
296369
300653
302686
277891
277537
285383
292213
298522
300431
297584
286445
288576
293299
295881
292710
271993
267430
273963
273046
268347
264319
255765
246263
245098
246969
248333
247934
226839
225554
237085
237080
245039
248541
247105
243422
250643
254663
260993
258556
235372
246057
253353
255198
264176
269034
265861
269826
278506
292300
290726
289802
271311
274352
275216
276836
280408
280190

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'AstonUniversity' @ aston.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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159321&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159321&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159321&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'AstonUniversity' @ aston.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
0.0208 (48)174962379.592862
0.0417 (24)59214534.197662
0.0625 (16)68244133.196589
0.0833 (12)17528163.942974
0.1042 (9.6)774278.933958
0.125 (8)36948397.813725
0.1458 (6.8571)7601210.751147
0.1667 (6)14096617.681595
0.1875 (5.3333)2995619.465282
0.2083 (4.8)23787905.591994
0.2292 (4.3636)1786084.168369
0.25 (4)16238855.823464
0.2708 (3.6923)35929335.738338
0.2917 (3.4286)9970113.331491
0.3125 (3.2)15684594.78782
0.3333 (3)4374637.984583
0.3542 (2.8235)75220653.135434
0.375 (2.6667)19266469.690413
0.3958 (2.5263)24111427.976779
0.4167 (2.4)5895436.533162
0.4375 (2.2857)18868927.889685
0.4583 (2.1818)59017345.348693
0.4792 (2.087)29151251.757676
0.5 (2)9199584.752652

\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) & 174962379.592862 \tabularnewline
0.0417 (24) & 59214534.197662 \tabularnewline
0.0625 (16) & 68244133.196589 \tabularnewline
0.0833 (12) & 17528163.942974 \tabularnewline
0.1042 (9.6) & 774278.933958 \tabularnewline
0.125 (8) & 36948397.813725 \tabularnewline
0.1458 (6.8571) & 7601210.751147 \tabularnewline
0.1667 (6) & 14096617.681595 \tabularnewline
0.1875 (5.3333) & 2995619.465282 \tabularnewline
0.2083 (4.8) & 23787905.591994 \tabularnewline
0.2292 (4.3636) & 1786084.168369 \tabularnewline
0.25 (4) & 16238855.823464 \tabularnewline
0.2708 (3.6923) & 35929335.738338 \tabularnewline
0.2917 (3.4286) & 9970113.331491 \tabularnewline
0.3125 (3.2) & 15684594.78782 \tabularnewline
0.3333 (3) & 4374637.984583 \tabularnewline
0.3542 (2.8235) & 75220653.135434 \tabularnewline
0.375 (2.6667) & 19266469.690413 \tabularnewline
0.3958 (2.5263) & 24111427.976779 \tabularnewline
0.4167 (2.4) & 5895436.533162 \tabularnewline
0.4375 (2.2857) & 18868927.889685 \tabularnewline
0.4583 (2.1818) & 59017345.348693 \tabularnewline
0.4792 (2.087) & 29151251.757676 \tabularnewline
0.5 (2) & 9199584.752652 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159321&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]174962379.592862[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]59214534.197662[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]68244133.196589[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]17528163.942974[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]774278.933958[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]36948397.813725[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]7601210.751147[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]14096617.681595[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]2995619.465282[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]23787905.591994[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]1786084.168369[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]16238855.823464[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]35929335.738338[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]9970113.331491[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]15684594.78782[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]4374637.984583[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]75220653.135434[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]19266469.690413[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]24111427.976779[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]5895436.533162[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]18868927.889685[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]59017345.348693[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]29151251.757676[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]9199584.752652[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159321&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159321&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)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)174962379.592862
0.0417 (24)59214534.197662
0.0625 (16)68244133.196589
0.0833 (12)17528163.942974
0.1042 (9.6)774278.933958
0.125 (8)36948397.813725
0.1458 (6.8571)7601210.751147
0.1667 (6)14096617.681595
0.1875 (5.3333)2995619.465282
0.2083 (4.8)23787905.591994
0.2292 (4.3636)1786084.168369
0.25 (4)16238855.823464
0.2708 (3.6923)35929335.738338
0.2917 (3.4286)9970113.331491
0.3125 (3.2)15684594.78782
0.3333 (3)4374637.984583
0.3542 (2.8235)75220653.135434
0.375 (2.6667)19266469.690413
0.3958 (2.5263)24111427.976779
0.4167 (2.4)5895436.533162
0.4375 (2.2857)18868927.889685
0.4583 (2.1818)59017345.348693
0.4792 (2.087)29151251.757676
0.5 (2)9199584.752652


Figures (Output of Computation)

Input Parameters & R Code

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')