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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 computationMon, 22 Dec 2008 04:28:58 -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/2008/Dec/22/t1229945423ocdaexv2bxxleye.htm/, Retrieved Sun, 12 May 2024 17:42:25 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=36007, Retrieved Sun, 12 May 2024 17:42:25 +0000
QR Codes:

Original text written by user:in samenwerking met katrien bourdiaudhy, stéphanie claes en kevin engels
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact170

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [blog 1e tijdreeks...] [2008-10-13 19:23:31] [7173087adebe3e3a714c80ea2417b3eb]
-   PD  [Univariate Data Series] [tijdreeksen opnie...] [2008-10-19 17:13:12] [7173087adebe3e3a714c80ea2417b3eb]
-   PD    [Univariate Data Series] [tijdreeksen opnie...] [2008-10-19 18:55:20] [7173087adebe3e3a714c80ea2417b3eb]
- RM        [Central Tendency] [central tendency ...] [2008-10-19 19:10:37] [7173087adebe3e3a714c80ea2417b3eb]
- RMP         [(Partial) Autocorrelation Function] [ACF step 2 own da...] [2008-12-08 20:48:28] [7173087adebe3e3a714c80ea2417b3eb]
- RMP             [Spectral Analysis] [spectral analysis...] [2008-12-22 11:28:58] [95d95b0e883740fcbc85e18ec42dcafb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5014
6153
6441
5584
6427
6062
5589
6216
5809
4989
6706
7174
6122
8075
6292
6337
8576
6077
5931
6288
7167
6054
6468
6401
6927
7914
7728
8699
8522
6481
7502
7778
7424
6941
8574
9169
7701
9035
7158
8195
8124
7073
7017
7390
7776
6197
6889
7087
6485
7654
6501
6313
7826
6589
6729
5684
8105
6391
5901
6758

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=36007&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=36007&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36007&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)6373202.072341
0.0333 (30)1690340.840881
0.05 (20)639195.652702
0.0667 (15)551134.179281
0.0833 (12)2324102.557205
0.1 (10)360934.463653
0.1167 (8.5714)280813.844388
0.1333 (7.5)598933.433066
0.15 (6.6667)51108.548422
0.1667 (6)49997.951946
0.1833 (5.4545)92359.183108
0.2 (5)285648.734192
0.2167 (4.6154)830639.634532
0.2333 (4.2857)234777.845772
0.25 (4)1106546.887059
0.2667 (3.75)351502.410118
0.2833 (3.5294)457860.183741
0.3 (3.3333)551539.872805
0.3167 (3.1579)86473.812185
0.3333 (3)3070066.184912
0.35 (2.8571)550791.406146
0.3667 (2.7273)533235.325525
0.3833 (2.6087)247237.510425
0.4 (2.5)72493.650172
0.4167 (2.4)2259529.419991
0.4333 (2.3077)149637.703163
0.45 (2.2222)23799.687207
0.4667 (2.1429)596819.862144
0.4833 (2.069)101424.469643
0.5 (2)233308.681482

\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) & 6373202.072341 \tabularnewline
0.0333 (30) & 1690340.840881 \tabularnewline
0.05 (20) & 639195.652702 \tabularnewline
0.0667 (15) & 551134.179281 \tabularnewline
0.0833 (12) & 2324102.557205 \tabularnewline
0.1 (10) & 360934.463653 \tabularnewline
0.1167 (8.5714) & 280813.844388 \tabularnewline
0.1333 (7.5) & 598933.433066 \tabularnewline
0.15 (6.6667) & 51108.548422 \tabularnewline
0.1667 (6) & 49997.951946 \tabularnewline
0.1833 (5.4545) & 92359.183108 \tabularnewline
0.2 (5) & 285648.734192 \tabularnewline
0.2167 (4.6154) & 830639.634532 \tabularnewline
0.2333 (4.2857) & 234777.845772 \tabularnewline
0.25 (4) & 1106546.887059 \tabularnewline
0.2667 (3.75) & 351502.410118 \tabularnewline
0.2833 (3.5294) & 457860.183741 \tabularnewline
0.3 (3.3333) & 551539.872805 \tabularnewline
0.3167 (3.1579) & 86473.812185 \tabularnewline
0.3333 (3) & 3070066.184912 \tabularnewline
0.35 (2.8571) & 550791.406146 \tabularnewline
0.3667 (2.7273) & 533235.325525 \tabularnewline
0.3833 (2.6087) & 247237.510425 \tabularnewline
0.4 (2.5) & 72493.650172 \tabularnewline
0.4167 (2.4) & 2259529.419991 \tabularnewline
0.4333 (2.3077) & 149637.703163 \tabularnewline
0.45 (2.2222) & 23799.687207 \tabularnewline
0.4667 (2.1429) & 596819.862144 \tabularnewline
0.4833 (2.069) & 101424.469643 \tabularnewline
0.5 (2) & 233308.681482 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=36007&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]6373202.072341[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]1690340.840881[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]639195.652702[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]551134.179281[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]2324102.557205[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]360934.463653[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]280813.844388[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]598933.433066[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]51108.548422[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]49997.951946[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]92359.183108[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]285648.734192[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]830639.634532[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]234777.845772[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1106546.887059[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]351502.410118[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]457860.183741[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]551539.872805[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]86473.812185[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]3070066.184912[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]550791.406146[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]533235.325525[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]247237.510425[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]72493.650172[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2259529.419991[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]149637.703163[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]23799.687207[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]596819.862144[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]101424.469643[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]233308.681482[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=36007&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=36007&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)6373202.072341
0.0333 (30)1690340.840881
0.05 (20)639195.652702
0.0667 (15)551134.179281
0.0833 (12)2324102.557205
0.1 (10)360934.463653
0.1167 (8.5714)280813.844388
0.1333 (7.5)598933.433066
0.15 (6.6667)51108.548422
0.1667 (6)49997.951946
0.1833 (5.4545)92359.183108
0.2 (5)285648.734192
0.2167 (4.6154)830639.634532
0.2333 (4.2857)234777.845772
0.25 (4)1106546.887059
0.2667 (3.75)351502.410118
0.2833 (3.5294)457860.183741
0.3 (3.3333)551539.872805
0.3167 (3.1579)86473.812185
0.3333 (3)3070066.184912
0.35 (2.8571)550791.406146
0.3667 (2.7273)533235.325525
0.3833 (2.6087)247237.510425
0.4 (2.5)72493.650172
0.4167 (2.4)2259529.419991
0.4333 (2.3077)149637.703163
0.45 (2.2222)23799.687207
0.4667 (2.1429)596819.862144
0.4833 (2.069)101424.469643
0.5 (2)233308.681482


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')