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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 computationTue, 14 Dec 2010 12:49:33 +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/14/t1292330854n2535l67pdtkl4r.htm/, Retrieved Thu, 02 May 2024 21:57:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109521, Retrieved Thu, 02 May 2024 21:57:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact133

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] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMPD    [Spectral Analysis] [] [2010-12-14 12:49:33] [ef8aba939446289dd59b403ac33ef077] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
19876
45335
48674
156392
100837
101605
532850
294189
80763
105995
25045
90474
48481
50730
68694
207716
99132
104012
422632
364974
82687
66834
28408
97073
40284
24421
116346
72120
108751
91738
402216
390070
106045
110070
70668
167841
28607
95371
30605
131063
81214
85451
455196
454570
63114
74287
42350
113375

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109521&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109521&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109521&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'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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0278 (36)2697561918.33257
0.0556 (18)1971832990.38418
0.0833 (12)892895367.756629
0.1111 (9)4052458061.19564
0.1389 (7.2)1271155179.12383
0.1667 (6)592109398.464933
0.1944 (5.1429)562962278.338031
0.2222 (4.5)2928209997.29524
0.25 (4)1354351133.17639
0.2778 (3.6)440922846.815218
0.3056 (3.2727)4280501802.84127
0.3333 (3)3250575939.8484
0.3611 (2.7692)4743866064.85451
0.3889 (2.5714)806911054.956747
0.4167 (2.4)432602326.322445
0.4444 (2.25)10464676901.8420
0.4722 (2.1176)3783180107.04963
0.5 (2)3486993360.52782

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0278 (36) & 2697561918.33257 \tabularnewline
0.0556 (18) & 1971832990.38418 \tabularnewline
0.0833 (12) & 892895367.756629 \tabularnewline
0.1111 (9) & 4052458061.19564 \tabularnewline
0.1389 (7.2) & 1271155179.12383 \tabularnewline
0.1667 (6) & 592109398.464933 \tabularnewline
0.1944 (5.1429) & 562962278.338031 \tabularnewline
0.2222 (4.5) & 2928209997.29524 \tabularnewline
0.25 (4) & 1354351133.17639 \tabularnewline
0.2778 (3.6) & 440922846.815218 \tabularnewline
0.3056 (3.2727) & 4280501802.84127 \tabularnewline
0.3333 (3) & 3250575939.8484 \tabularnewline
0.3611 (2.7692) & 4743866064.85451 \tabularnewline
0.3889 (2.5714) & 806911054.956747 \tabularnewline
0.4167 (2.4) & 432602326.322445 \tabularnewline
0.4444 (2.25) & 10464676901.8420 \tabularnewline
0.4722 (2.1176) & 3783180107.04963 \tabularnewline
0.5 (2) & 3486993360.52782 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109521&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]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]2697561918.33257[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]1971832990.38418[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]892895367.756629[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]4052458061.19564[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]1271155179.12383[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]592109398.464933[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]562962278.338031[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]2928209997.29524[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1354351133.17639[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]440922846.815218[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]4280501802.84127[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]3250575939.8484[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]4743866064.85451[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]806911054.956747[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]432602326.322445[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]10464676901.8420[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]3783180107.04963[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]3486993360.52782[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109521&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109521&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0278 (36)2697561918.33257
0.0556 (18)1971832990.38418
0.0833 (12)892895367.756629
0.1111 (9)4052458061.19564
0.1389 (7.2)1271155179.12383
0.1667 (6)592109398.464933
0.1944 (5.1429)562962278.338031
0.2222 (4.5)2928209997.29524
0.25 (4)1354351133.17639
0.2778 (3.6)440922846.815218
0.3056 (3.2727)4280501802.84127
0.3333 (3)3250575939.8484
0.3611 (2.7692)4743866064.85451
0.3889 (2.5714)806911054.956747
0.4167 (2.4)432602326.322445
0.4444 (2.25)10464676901.8420
0.4722 (2.1176)3783180107.04963
0.5 (2)3486993360.52782


Figures (Output of Computation)

Input Parameters & R Code

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