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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 computationSun, 19 Dec 2010 21:32:42 +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/19/t129279424475socrhbyd90b6t.htm/, Retrieved Sun, 05 May 2024 04:13:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112761, Retrieved Sun, 05 May 2024 04:13:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact142

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] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
-    D    [Spectral Analysis] [Workshop 9, Cumul...] [2010-12-05 17:58:39] [3635fb7041b1998c5a1332cf9de22bce]
-    D      [Spectral Analysis] [Paper CP] [2010-12-19 15:14:56] [3635fb7041b1998c5a1332cf9de22bce]
-    D          [Spectral Analysis] [Paper CP 2] [2010-12-19 21:32:42] [23a9b79f355c69a75648521a893cf584] [Current]
-   P             [Spectral Analysis] [Cumulatieve Perio...] [2010-12-22 08:52:10] [8081b8996d5947580de3eb171e82db4f]
-                 [Spectral Analysis] [Paper Cumulatieve...] [2010-12-22 14:17:12] [d946de7cca328fbcf207448a112523ab]
-    D            [Spectral Analysis] [Cumulatieve perio...] [2011-12-16 10:05:06] [c505444e07acba7694d29053ca5d114e]
-   PD            [Spectral Analysis] [Cumulatieve perdi...] [2011-12-16 10:09:28] [c505444e07acba7694d29053ca5d114e]
- RMPD            [Variance Reduction Matrix] [Variance Reductio...] [2011-12-16 10:18:42] [c505444e07acba7694d29053ca5d114e]
- RMPD            [ARIMA Backward Selection] [ARIMA] [2011-12-16 11:08:41] [c505444e07acba7694d29053ca5d114e]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
21.454
23.899
24.939
23.580
24.562
24.696
23.785
23.812
21.917
19.713
19.282
18.788
21.453
24.482
27.474
27.264
27.349
30.632
29.429
30.084
26.290
24.379
23.335
21.346
21.106
24.514
28.353
30.805
31.348
34.556
33.855
34.787
32.529
29.998
29.257
28.155
30.466
35.704
39.327
39.351
42.234
43.630
43.722
43.121
37.985
37.135
34.646
33.026
35.087
38.846
42.013
43.908
42.868
44.423
44.167
43.636
44.382
42.142
43.452
36.912
42.413
45.344
44.873
47.510
49.554
47.369
45.998
48.140
48.441
44.928
40.454
38.661
37.246
36.843
36.424
37.594
38.144
38.737
34.560
36.080
33.508
35.462
33.374
32.110

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'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112761&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112761&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112761&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'RServer@AstonUniversity' @ vre.aston.ac.uk






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
0.0111 (90)401.850708
0.0222 (45)83.183107
0.0333 (30)79.491993
0.0444 (22.5)128.909326
0.0556 (18)21.211505
0.0667 (15)1.620376
0.0778 (12.8571)251.331779
0.0889 (11.25)133.89591
0.1 (10)3.088579
0.1111 (9)2.964017
0.1222 (8.1818)0.364271
0.1333 (7.5)1.078345
0.1444 (6.9231)6.254819
0.1556 (6.4286)10.684008
0.1667 (6)13.066142
0.1778 (5.625)0.008328
0.1889 (5.2941)0.173723
0.2 (5)2.025893
0.2111 (4.7368)0.391268
0.2222 (4.5)1.729603
0.2333 (4.2857)1.131233
0.2444 (4.0909)0.306528
0.2556 (3.913)6.279145
0.2667 (3.75)3.188712
0.2778 (3.6)1.632627
0.2889 (3.4615)0.993676
0.3 (3.3333)1.34326
0.3111 (3.2143)1.072617
0.3222 (3.1034)0.684296
0.3333 (3)2.436508
0.3444 (2.9032)1.370182
0.3556 (2.8125)0.124242
0.3667 (2.7273)0.109958
0.3778 (2.6471)1.471469
0.3889 (2.5714)2.796135
0.4 (2.5)0.057696
0.4111 (2.4324)2.703809
0.4222 (2.3684)1.145334
0.4333 (2.3077)1.293092
0.4444 (2.25)0.46799
0.4556 (2.1951)1.024315
0.4667 (2.1429)1.768442
0.4778 (2.093)1.360848
0.4889 (2.0455)0.466705
0.5 (2)0.418566

\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
0.0111 (90) & 401.850708 \tabularnewline
0.0222 (45) & 83.183107 \tabularnewline
0.0333 (30) & 79.491993 \tabularnewline
0.0444 (22.5) & 128.909326 \tabularnewline
0.0556 (18) & 21.211505 \tabularnewline
0.0667 (15) & 1.620376 \tabularnewline
0.0778 (12.8571) & 251.331779 \tabularnewline
0.0889 (11.25) & 133.89591 \tabularnewline
0.1 (10) & 3.088579 \tabularnewline
0.1111 (9) & 2.964017 \tabularnewline
0.1222 (8.1818) & 0.364271 \tabularnewline
0.1333 (7.5) & 1.078345 \tabularnewline
0.1444 (6.9231) & 6.254819 \tabularnewline
0.1556 (6.4286) & 10.684008 \tabularnewline
0.1667 (6) & 13.066142 \tabularnewline
0.1778 (5.625) & 0.008328 \tabularnewline
0.1889 (5.2941) & 0.173723 \tabularnewline
0.2 (5) & 2.025893 \tabularnewline
0.2111 (4.7368) & 0.391268 \tabularnewline
0.2222 (4.5) & 1.729603 \tabularnewline
0.2333 (4.2857) & 1.131233 \tabularnewline
0.2444 (4.0909) & 0.306528 \tabularnewline
0.2556 (3.913) & 6.279145 \tabularnewline
0.2667 (3.75) & 3.188712 \tabularnewline
0.2778 (3.6) & 1.632627 \tabularnewline
0.2889 (3.4615) & 0.993676 \tabularnewline
0.3 (3.3333) & 1.34326 \tabularnewline
0.3111 (3.2143) & 1.072617 \tabularnewline
0.3222 (3.1034) & 0.684296 \tabularnewline
0.3333 (3) & 2.436508 \tabularnewline
0.3444 (2.9032) & 1.370182 \tabularnewline
0.3556 (2.8125) & 0.124242 \tabularnewline
0.3667 (2.7273) & 0.109958 \tabularnewline
0.3778 (2.6471) & 1.471469 \tabularnewline
0.3889 (2.5714) & 2.796135 \tabularnewline
0.4 (2.5) & 0.057696 \tabularnewline
0.4111 (2.4324) & 2.703809 \tabularnewline
0.4222 (2.3684) & 1.145334 \tabularnewline
0.4333 (2.3077) & 1.293092 \tabularnewline
0.4444 (2.25) & 0.46799 \tabularnewline
0.4556 (2.1951) & 1.024315 \tabularnewline
0.4667 (2.1429) & 1.768442 \tabularnewline
0.4778 (2.093) & 1.360848 \tabularnewline
0.4889 (2.0455) & 0.466705 \tabularnewline
0.5 (2) & 0.418566 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112761&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]0.0111 (90)[/C][C]401.850708[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]83.183107[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]79.491993[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]128.909326[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]21.211505[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]1.620376[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]251.331779[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]133.89591[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]3.088579[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]2.964017[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]0.364271[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1.078345[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]6.254819[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]10.684008[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]13.066142[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]0.008328[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]0.173723[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]2.025893[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]0.391268[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]1.729603[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]1.131233[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]0.306528[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]6.279145[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]3.188712[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]1.632627[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]0.993676[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1.34326[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]1.072617[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]0.684296[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]2.436508[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]1.370182[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]0.124242[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]0.109958[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]1.471469[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]2.796135[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]0.057696[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]2.703809[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]1.145334[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]1.293092[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]0.46799[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]1.024315[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]1.768442[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]1.360848[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]0.466705[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.418566[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112761&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112761&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
0.0111 (90)401.850708
0.0222 (45)83.183107
0.0333 (30)79.491993
0.0444 (22.5)128.909326
0.0556 (18)21.211505
0.0667 (15)1.620376
0.0778 (12.8571)251.331779
0.0889 (11.25)133.89591
0.1 (10)3.088579
0.1111 (9)2.964017
0.1222 (8.1818)0.364271
0.1333 (7.5)1.078345
0.1444 (6.9231)6.254819
0.1556 (6.4286)10.684008
0.1667 (6)13.066142
0.1778 (5.625)0.008328
0.1889 (5.2941)0.173723
0.2 (5)2.025893
0.2111 (4.7368)0.391268
0.2222 (4.5)1.729603
0.2333 (4.2857)1.131233
0.2444 (4.0909)0.306528
0.2556 (3.913)6.279145
0.2667 (3.75)3.188712
0.2778 (3.6)1.632627
0.2889 (3.4615)0.993676
0.3 (3.3333)1.34326
0.3111 (3.2143)1.072617
0.3222 (3.1034)0.684296
0.3333 (3)2.436508
0.3444 (2.9032)1.370182
0.3556 (2.8125)0.124242
0.3667 (2.7273)0.109958
0.3778 (2.6471)1.471469
0.3889 (2.5714)2.796135
0.4 (2.5)0.057696
0.4111 (2.4324)2.703809
0.4222 (2.3684)1.145334
0.4333 (2.3077)1.293092
0.4444 (2.25)0.46799
0.4556 (2.1951)1.024315
0.4667 (2.1429)1.768442
0.4778 (2.093)1.360848
0.4889 (2.0455)0.466705
0.5 (2)0.418566


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')