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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, 01 Dec 2011 13:25:29 -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/01/t1322763951vt1ruhcknf2a3h4.htm/, Retrieved Thu, 25 Apr 2024 05:25:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149930, Retrieved Thu, 25 Apr 2024 05:25:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact70

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] [] [2011-12-01 18:05:38] [86f7284edee3dbb8ea5c7e2dec87d892]
- R P       [Spectral Analysis] [] [2011-12-01 18:25:29] [79818163420d1233b8d9d93d595e6c9e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
579
572
560
551
537
541
588
607
599
578
563
566
561
554
540
526
512
505
554
584
569
540
522
526
527
516
503
489
479
475
524
552
532
511
492
492
493
481
462
457
442
439
488
521
501
485
464
460
467
460
448
443
436
431
484
510
513
503
471
471

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149930&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149930&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149930&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'Gertrude Mary Cox' @ cox.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)3.372246
0.0417 (24)16.769225
0.0625 (16)4.11159
0.0833 (12)1.915412
0.1042 (9.6)3.859708
0.125 (8)27.379319
0.1458 (6.8571)5.248221
0.1667 (6)21.439188
0.1875 (5.3333)85.516075
0.2083 (4.8)79.659153
0.2292 (4.3636)3.758097
0.25 (4)24.291783
0.2708 (3.6923)73.058189
0.2917 (3.4286)77.034038
0.3125 (3.2)3.918955
0.3333 (3)27.18995
0.3542 (2.8235)57.320025
0.375 (2.6667)19.425112
0.3958 (2.5263)78.22683
0.4167 (2.4)5.55632
0.4375 (2.2857)6.929921
0.4583 (2.1818)77.668219
0.4792 (2.087)92.736693
0.5 (2)10.946823

\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) & 3.372246 \tabularnewline
0.0417 (24) & 16.769225 \tabularnewline
0.0625 (16) & 4.11159 \tabularnewline
0.0833 (12) & 1.915412 \tabularnewline
0.1042 (9.6) & 3.859708 \tabularnewline
0.125 (8) & 27.379319 \tabularnewline
0.1458 (6.8571) & 5.248221 \tabularnewline
0.1667 (6) & 21.439188 \tabularnewline
0.1875 (5.3333) & 85.516075 \tabularnewline
0.2083 (4.8) & 79.659153 \tabularnewline
0.2292 (4.3636) & 3.758097 \tabularnewline
0.25 (4) & 24.291783 \tabularnewline
0.2708 (3.6923) & 73.058189 \tabularnewline
0.2917 (3.4286) & 77.034038 \tabularnewline
0.3125 (3.2) & 3.918955 \tabularnewline
0.3333 (3) & 27.18995 \tabularnewline
0.3542 (2.8235) & 57.320025 \tabularnewline
0.375 (2.6667) & 19.425112 \tabularnewline
0.3958 (2.5263) & 78.22683 \tabularnewline
0.4167 (2.4) & 5.55632 \tabularnewline
0.4375 (2.2857) & 6.929921 \tabularnewline
0.4583 (2.1818) & 77.668219 \tabularnewline
0.4792 (2.087) & 92.736693 \tabularnewline
0.5 (2) & 10.946823 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149930&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]3.372246[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]16.769225[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]4.11159[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]1.915412[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]3.859708[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]27.379319[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]5.248221[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]21.439188[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]85.516075[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]79.659153[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]3.758097[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]24.291783[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]73.058189[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]77.034038[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]3.918955[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]27.18995[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]57.320025[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]19.425112[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]78.22683[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]5.55632[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]6.929921[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]77.668219[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]92.736693[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]10.946823[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149930&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149930&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)3.372246
0.0417 (24)16.769225
0.0625 (16)4.11159
0.0833 (12)1.915412
0.1042 (9.6)3.859708
0.125 (8)27.379319
0.1458 (6.8571)5.248221
0.1667 (6)21.439188
0.1875 (5.3333)85.516075
0.2083 (4.8)79.659153
0.2292 (4.3636)3.758097
0.25 (4)24.291783
0.2708 (3.6923)73.058189
0.2917 (3.4286)77.034038
0.3125 (3.2)3.918955
0.3333 (3)27.18995
0.3542 (2.8235)57.320025
0.375 (2.6667)19.425112
0.3958 (2.5263)78.22683
0.4167 (2.4)5.55632
0.4375 (2.2857)6.929921
0.4583 (2.1818)77.668219
0.4792 (2.087)92.736693
0.5 (2)10.946823


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')