FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationFri, 10 Dec 2010 20:41:37 +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/10/t1292013570dwj2w1kfbzsikhh.htm/, Retrieved Sun, 11 May 2025 10:39:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107933, Retrieved Sun, 11 May 2025 10:39:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact178

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  D        [Spectral Analysis] [Bestedingen consu...] [2009-11-24 15:52:47] [54d83950395cfb8ca1091bdb7440f70a]
-    D            [Spectral Analysis] [Workshop 9] [2010-12-10 20:41:37] [d41d8cd98f00b204e9800998ecf8427e] [Current]
-                   [Spectral Analysis] [worskhop 9] [2010-12-10 20:51:30] [74be16979710d4c4e7c6647856088456]
-                     [Spectral Analysis] [Workshop 9 ] [2010-12-10 21:10:44] [1ec36cc0fd92fd0f07d0b885ce2c369b]
-                   [Spectral Analysis] [] [2010-12-10 21:11:26] [1ec36cc0fd92fd0f07d0b885ce2c369b]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
493
514
522
490
484
506
501
462
465
454
464
427
460
473
465
422
415
413
420
363
376
380
384
346
389
407
393
346
348
353
364
305
307
312
312
286
324
336
327
302
299
311
315
264
278
278
287
279
324
354
354
360
363
385
412
370
389
395
417
404

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107933&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107933&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107933&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






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
0.0167 (60)35678.624299
0.0333 (30)2955.346531
0.05 (20)3754.360708
0.0667 (15)4504.400815
0.0833 (12)4344.774185
0.1 (10)657.684889
0.1167 (8.5714)336.507976
0.1333 (7.5)52.982535
0.15 (6.6667)6.054008
0.1667 (6)964.401501
0.1833 (5.4545)84.380936
0.2 (5)50.218074
0.2167 (4.6154)35.141519
0.2333 (4.2857)117.595877
0.25 (4)3801.576399
0.2667 (3.75)219.477815
0.2833 (3.5294)8.92301
0.3 (3.3333)5.005644
0.3167 (3.1579)3.448646
0.3333 (3)271.125456
0.35 (2.8571)97.855291
0.3667 (2.7273)42.329434
0.3833 (2.6087)82.369638
0.4 (2.5)5.112935
0.4167 (2.4)244.9207
0.4333 (2.3077)30.044522
0.45 (2.2222)4.332422
0.4667 (2.1429)16.119711
0.4833 (2.069)99.86177
0.5 (2)1650.171612

\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
0.0167 (60) & 35678.624299 \tabularnewline
0.0333 (30) & 2955.346531 \tabularnewline
0.05 (20) & 3754.360708 \tabularnewline
0.0667 (15) & 4504.400815 \tabularnewline
0.0833 (12) & 4344.774185 \tabularnewline
0.1 (10) & 657.684889 \tabularnewline
0.1167 (8.5714) & 336.507976 \tabularnewline
0.1333 (7.5) & 52.982535 \tabularnewline
0.15 (6.6667) & 6.054008 \tabularnewline
0.1667 (6) & 964.401501 \tabularnewline
0.1833 (5.4545) & 84.380936 \tabularnewline
0.2 (5) & 50.218074 \tabularnewline
0.2167 (4.6154) & 35.141519 \tabularnewline
0.2333 (4.2857) & 117.595877 \tabularnewline
0.25 (4) & 3801.576399 \tabularnewline
0.2667 (3.75) & 219.477815 \tabularnewline
0.2833 (3.5294) & 8.92301 \tabularnewline
0.3 (3.3333) & 5.005644 \tabularnewline
0.3167 (3.1579) & 3.448646 \tabularnewline
0.3333 (3) & 271.125456 \tabularnewline
0.35 (2.8571) & 97.855291 \tabularnewline
0.3667 (2.7273) & 42.329434 \tabularnewline
0.3833 (2.6087) & 82.369638 \tabularnewline
0.4 (2.5) & 5.112935 \tabularnewline
0.4167 (2.4) & 244.9207 \tabularnewline
0.4333 (2.3077) & 30.044522 \tabularnewline
0.45 (2.2222) & 4.332422 \tabularnewline
0.4667 (2.1429) & 16.119711 \tabularnewline
0.4833 (2.069) & 99.86177 \tabularnewline
0.5 (2) & 1650.171612 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107933&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]0.0167 (60)[/C][C]35678.624299[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]2955.346531[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]3754.360708[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]4504.400815[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]4344.774185[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]657.684889[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]336.507976[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]52.982535[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]6.054008[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]964.401501[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]84.380936[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]50.218074[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]35.141519[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]117.595877[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]3801.576399[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]219.477815[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]8.92301[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]5.005644[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]3.448646[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]271.125456[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]97.855291[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]42.329434[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]82.369638[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]5.112935[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]244.9207[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]30.044522[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]4.332422[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]16.119711[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]99.86177[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1650.171612[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107933&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107933&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
0.0167 (60)35678.624299
0.0333 (30)2955.346531
0.05 (20)3754.360708
0.0667 (15)4504.400815
0.0833 (12)4344.774185
0.1 (10)657.684889
0.1167 (8.5714)336.507976
0.1333 (7.5)52.982535
0.15 (6.6667)6.054008
0.1667 (6)964.401501
0.1833 (5.4545)84.380936
0.2 (5)50.218074
0.2167 (4.6154)35.141519
0.2333 (4.2857)117.595877
0.25 (4)3801.576399
0.2667 (3.75)219.477815
0.2833 (3.5294)8.92301
0.3 (3.3333)5.005644
0.3167 (3.1579)3.448646
0.3333 (3)271.125456
0.35 (2.8571)97.855291
0.3667 (2.7273)42.329434
0.3833 (2.6087)82.369638
0.4 (2.5)5.112935
0.4167 (2.4)244.9207
0.4333 (2.3077)30.044522
0.45 (2.2222)4.332422
0.4667 (2.1429)16.119711
0.4833 (2.069)99.86177
0.5 (2)1650.171612


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')