FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationTue, 24 Nov 2009 12:12:43 -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/t12590900063yyen4w6u4idsgb.htm/, Retrieved Thu, 12 Sep 2024 16:40:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59241, Retrieved Thu, 12 Sep 2024 16:40:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact156

Tree of Dependent Computations

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 12:38:17] [b98453cac15ba1066b407e146608df68]
- R PD          [Spectral Analysis] [spectrum d = 1 ; ...] [2009-11-24 19:12:43] [a931a0a30926b49d162330b43e89b999] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
325412
326011
328282
317480
317539
313737
312276
309391
302950
300316
304035
333476
337698
335932
323931
313927
314485
313218
309664
302963
298989
298423
310631
329765
335083
327616
309119
295916
291413
291542
284678
276475
272566
264981
263290
296806
303598
286994
276427
266424
267153
268381
262522
255542
253158
243803
250741
280445
285257
270976
261076
255603
260376
263903
264291
263276
262572
256167
264221
293860
300713
287224

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'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=59241&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=59241&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59241&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'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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)50266910.661381
0.0312 (32)13999430.248336
0.0469 (21.3333)4787961.378384
0.0625 (16)2370368.277921
0.0781 (12.8)495703382.497543
0.0938 (10.6667)279309085.708454
0.1094 (9.1429)24492391.384557
0.125 (8)17574647.474305
0.1406 (7.1111)44216924.118317
0.1562 (6.4)455459563.30297
0.1719 (5.8182)1172569512.32562
0.1875 (5.3333)3207216.262763
0.2031 (4.9231)28618687.860175
0.2188 (4.5714)25214679.150853
0.2344 (4.2667)16036137.099811
0.25 (4)312553893.739638
0.2656 (3.7647)73894630.16306
0.2812 (3.5556)19921248.525064
0.2969 (3.3684)17676984.015223
0.3125 (3.2)6087750.951166
0.3281 (3.0476)193068241.905227
0.3438 (2.9091)79225214.657631
0.3594 (2.7826)45613746.870113
0.375 (2.6667)18512819.46564
0.3906 (2.56)2866327.27713
0.4062 (2.4615)21970875.61825
0.4219 (2.3704)70040450.400007
0.4375 (2.2857)20012447.334423
0.4531 (2.2069)24308070.305754
0.4688 (2.1333)4767731.858423
0.4844 (2.0645)11307080.449651
0.5 (2)10869442.229674

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0156 (64) & 50266910.661381 \tabularnewline
0.0312 (32) & 13999430.248336 \tabularnewline
0.0469 (21.3333) & 4787961.378384 \tabularnewline
0.0625 (16) & 2370368.277921 \tabularnewline
0.0781 (12.8) & 495703382.497543 \tabularnewline
0.0938 (10.6667) & 279309085.708454 \tabularnewline
0.1094 (9.1429) & 24492391.384557 \tabularnewline
0.125 (8) & 17574647.474305 \tabularnewline
0.1406 (7.1111) & 44216924.118317 \tabularnewline
0.1562 (6.4) & 455459563.30297 \tabularnewline
0.1719 (5.8182) & 1172569512.32562 \tabularnewline
0.1875 (5.3333) & 3207216.262763 \tabularnewline
0.2031 (4.9231) & 28618687.860175 \tabularnewline
0.2188 (4.5714) & 25214679.150853 \tabularnewline
0.2344 (4.2667) & 16036137.099811 \tabularnewline
0.25 (4) & 312553893.739638 \tabularnewline
0.2656 (3.7647) & 73894630.16306 \tabularnewline
0.2812 (3.5556) & 19921248.525064 \tabularnewline
0.2969 (3.3684) & 17676984.015223 \tabularnewline
0.3125 (3.2) & 6087750.951166 \tabularnewline
0.3281 (3.0476) & 193068241.905227 \tabularnewline
0.3438 (2.9091) & 79225214.657631 \tabularnewline
0.3594 (2.7826) & 45613746.870113 \tabularnewline
0.375 (2.6667) & 18512819.46564 \tabularnewline
0.3906 (2.56) & 2866327.27713 \tabularnewline
0.4062 (2.4615) & 21970875.61825 \tabularnewline
0.4219 (2.3704) & 70040450.400007 \tabularnewline
0.4375 (2.2857) & 20012447.334423 \tabularnewline
0.4531 (2.2069) & 24308070.305754 \tabularnewline
0.4688 (2.1333) & 4767731.858423 \tabularnewline
0.4844 (2.0645) & 11307080.449651 \tabularnewline
0.5 (2) & 10869442.229674 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59241&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]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]50266910.661381[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]13999430.248336[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]4787961.378384[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]2370368.277921[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]495703382.497543[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]279309085.708454[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]24492391.384557[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]17574647.474305[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]44216924.118317[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]455459563.30297[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]1172569512.32562[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]3207216.262763[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]28618687.860175[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]25214679.150853[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]16036137.099811[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]312553893.739638[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]73894630.16306[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]19921248.525064[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]17676984.015223[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]6087750.951166[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]193068241.905227[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]79225214.657631[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]45613746.870113[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]18512819.46564[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]2866327.27713[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]21970875.61825[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]70040450.400007[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]20012447.334423[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]24308070.305754[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]4767731.858423[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]11307080.449651[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]10869442.229674[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59241&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59241&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0156 (64)50266910.661381
0.0312 (32)13999430.248336
0.0469 (21.3333)4787961.378384
0.0625 (16)2370368.277921
0.0781 (12.8)495703382.497543
0.0938 (10.6667)279309085.708454
0.1094 (9.1429)24492391.384557
0.125 (8)17574647.474305
0.1406 (7.1111)44216924.118317
0.1562 (6.4)455459563.30297
0.1719 (5.8182)1172569512.32562
0.1875 (5.3333)3207216.262763
0.2031 (4.9231)28618687.860175
0.2188 (4.5714)25214679.150853
0.2344 (4.2667)16036137.099811
0.25 (4)312553893.739638
0.2656 (3.7647)73894630.16306
0.2812 (3.5556)19921248.525064
0.2969 (3.3684)17676984.015223
0.3125 (3.2)6087750.951166
0.3281 (3.0476)193068241.905227
0.3438 (2.9091)79225214.657631
0.3594 (2.7826)45613746.870113
0.375 (2.6667)18512819.46564
0.3906 (2.56)2866327.27713
0.4062 (2.4615)21970875.61825
0.4219 (2.3704)70040450.400007
0.4375 (2.2857)20012447.334423
0.4531 (2.2069)24308070.305754
0.4688 (2.1333)4767731.858423
0.4844 (2.0645)11307080.449651
0.5 (2)10869442.229674


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; 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')