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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, 06 Dec 2011 03:28:42 -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/06/t1323160137tpech5gk32660d2.htm/, Retrieved Sun, 28 Apr 2024 21:02:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151382, Retrieved Sun, 28 Apr 2024 21:02:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact134

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]
- RMPD  [(Partial) Autocorrelation Function] [ACF (d=0, D=0)] [2011-12-06 08:00:15] [bcad5ea7a7be31884500e96b7abaff18]
- R P     [(Partial) Autocorrelation Function] [ACF (d=1 en D=0)] [2011-12-06 08:08:10] [bcad5ea7a7be31884500e96b7abaff18]
-   P       [(Partial) Autocorrelation Function] [ACF (d=0, D=1)] [2011-12-06 08:17:43] [bcad5ea7a7be31884500e96b7abaff18]
-   P         [(Partial) Autocorrelation Function] [ACF (d=1, D=1)] [2011-12-06 08:18:59] [bcad5ea7a7be31884500e96b7abaff18]
- RMP           [Spectral Analysis] [CP (d=0, D=0)] [2011-12-06 08:24:51] [bcad5ea7a7be31884500e96b7abaff18]
- R P             [Spectral Analysis] [CP (d=1, D=0)] [2011-12-06 08:27:06] [bcad5ea7a7be31884500e96b7abaff18]
-   P                 [Spectral Analysis] [CP (d=0, D=1)] [2011-12-06 08:28:42] [d14d64ba86ecc27fb5997ae1bd82937b] [Current]
-   P                   [Spectral Analysis] [CP (d=1, D=1)] [2011-12-06 08:30:04] [bcad5ea7a7be31884500e96b7abaff18]
- RMP                   [Variance Reduction Matrix] [VRM ] [2011-12-06 08:41:26] [bcad5ea7a7be31884500e96b7abaff18]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2851
2672
2755
2721
2946
3036
2282
2212
2922
4301
5764
7132
2541
2475
3031
3266
3776
3230
3028
1759
3595
4474
6838
8357
3113
3006
4047
3523
3937
3986
3260
1573
3528
5211
7614
9254
5375
3088
3718
4514
4520
4539
3663
1643
4739
5428
8314
10651
3633
4292
4154
4121
4647
4753
3965
1723
5048
6922
9858
11331
4016
3957
4510
4276
4968
4677
3523
1821
5222
6873
10803
13916
2639
2899
3370
3740
2927
3986
4217
1738
5221
6424
9842
13076
3934
3162
4286
4676
5010
4874
4633
1659
5951
6981
9851
12670

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151382&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151382&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151382&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'Gwilym Jenkins' @ jenkins.wessa.net






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
0.0111 (90)685611.885536
0.0222 (45)901605.597432
0.0333 (30)1911065.315076
0.0444 (22.5)1455139.063223
0.0556 (18)360891.668702
0.0667 (15)1245682.461897
0.0778 (12.8571)465344.130643
0.0889 (11.25)1606043.939672
0.1 (10)631630.769731
0.1111 (9)1560551.796305
0.1222 (8.1818)649863.176252
0.1333 (7.5)893727.999748
0.1444 (6.9231)1257745.684791
0.1556 (6.4286)88840.104135
0.1667 (6)911787.927486
0.1778 (5.625)247582.110642
0.1889 (5.2941)49213.686544
0.2 (5)186231.3423
0.2111 (4.7368)319192.28887
0.2222 (4.5)738771.297308
0.2333 (4.2857)1109952.772943
0.2444 (4.0909)382716.837077
0.2556 (3.913)40646.78774
0.2667 (3.75)156448.871719
0.2778 (3.6)302417.297317
0.2889 (3.4615)3126940.07603
0.3 (3.3333)206018.447284
0.3111 (3.2143)968646.284775
0.3222 (3.1034)229705.198355
0.3333 (3)346160.023783
0.3444 (2.9032)162549.802414
0.3556 (2.8125)115955.764179
0.3667 (2.7273)367660.666495
0.3778 (2.6471)1976819.765238
0.3889 (2.5714)712605.390961
0.4 (2.5)101685.562758
0.4111 (2.4324)401364.043471
0.4222 (2.3684)110071.093503
0.4333 (2.3077)97469.24175
0.4444 (2.25)35084.80678
0.4556 (2.1951)1571172.434057
0.4667 (2.1429)578997.946473
0.4778 (2.093)18778.825334
0.4889 (2.0455)468536.370493
0.5 (2)34716.295629

\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
0.0111 (90) & 685611.885536 \tabularnewline
0.0222 (45) & 901605.597432 \tabularnewline
0.0333 (30) & 1911065.315076 \tabularnewline
0.0444 (22.5) & 1455139.063223 \tabularnewline
0.0556 (18) & 360891.668702 \tabularnewline
0.0667 (15) & 1245682.461897 \tabularnewline
0.0778 (12.8571) & 465344.130643 \tabularnewline
0.0889 (11.25) & 1606043.939672 \tabularnewline
0.1 (10) & 631630.769731 \tabularnewline
0.1111 (9) & 1560551.796305 \tabularnewline
0.1222 (8.1818) & 649863.176252 \tabularnewline
0.1333 (7.5) & 893727.999748 \tabularnewline
0.1444 (6.9231) & 1257745.684791 \tabularnewline
0.1556 (6.4286) & 88840.104135 \tabularnewline
0.1667 (6) & 911787.927486 \tabularnewline
0.1778 (5.625) & 247582.110642 \tabularnewline
0.1889 (5.2941) & 49213.686544 \tabularnewline
0.2 (5) & 186231.3423 \tabularnewline
0.2111 (4.7368) & 319192.28887 \tabularnewline
0.2222 (4.5) & 738771.297308 \tabularnewline
0.2333 (4.2857) & 1109952.772943 \tabularnewline
0.2444 (4.0909) & 382716.837077 \tabularnewline
0.2556 (3.913) & 40646.78774 \tabularnewline
0.2667 (3.75) & 156448.871719 \tabularnewline
0.2778 (3.6) & 302417.297317 \tabularnewline
0.2889 (3.4615) & 3126940.07603 \tabularnewline
0.3 (3.3333) & 206018.447284 \tabularnewline
0.3111 (3.2143) & 968646.284775 \tabularnewline
0.3222 (3.1034) & 229705.198355 \tabularnewline
0.3333 (3) & 346160.023783 \tabularnewline
0.3444 (2.9032) & 162549.802414 \tabularnewline
0.3556 (2.8125) & 115955.764179 \tabularnewline
0.3667 (2.7273) & 367660.666495 \tabularnewline
0.3778 (2.6471) & 1976819.765238 \tabularnewline
0.3889 (2.5714) & 712605.390961 \tabularnewline
0.4 (2.5) & 101685.562758 \tabularnewline
0.4111 (2.4324) & 401364.043471 \tabularnewline
0.4222 (2.3684) & 110071.093503 \tabularnewline
0.4333 (2.3077) & 97469.24175 \tabularnewline
0.4444 (2.25) & 35084.80678 \tabularnewline
0.4556 (2.1951) & 1571172.434057 \tabularnewline
0.4667 (2.1429) & 578997.946473 \tabularnewline
0.4778 (2.093) & 18778.825334 \tabularnewline
0.4889 (2.0455) & 468536.370493 \tabularnewline
0.5 (2) & 34716.295629 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151382&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]0.0111 (90)[/C][C]685611.885536[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]901605.597432[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]1911065.315076[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]1455139.063223[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]360891.668702[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]1245682.461897[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]465344.130643[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]1606043.939672[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]631630.769731[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]1560551.796305[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]649863.176252[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]893727.999748[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]1257745.684791[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]88840.104135[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]911787.927486[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]247582.110642[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]49213.686544[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]186231.3423[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]319192.28887[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]738771.297308[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]1109952.772943[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]382716.837077[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]40646.78774[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]156448.871719[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]302417.297317[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]3126940.07603[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]206018.447284[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]968646.284775[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]229705.198355[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]346160.023783[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]162549.802414[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]115955.764179[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]367660.666495[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]1976819.765238[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]712605.390961[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]101685.562758[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]401364.043471[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]110071.093503[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]97469.24175[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]35084.80678[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]1571172.434057[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]578997.946473[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]18778.825334[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]468536.370493[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]34716.295629[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151382&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151382&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
0.0111 (90)685611.885536
0.0222 (45)901605.597432
0.0333 (30)1911065.315076
0.0444 (22.5)1455139.063223
0.0556 (18)360891.668702
0.0667 (15)1245682.461897
0.0778 (12.8571)465344.130643
0.0889 (11.25)1606043.939672
0.1 (10)631630.769731
0.1111 (9)1560551.796305
0.1222 (8.1818)649863.176252
0.1333 (7.5)893727.999748
0.1444 (6.9231)1257745.684791
0.1556 (6.4286)88840.104135
0.1667 (6)911787.927486
0.1778 (5.625)247582.110642
0.1889 (5.2941)49213.686544
0.2 (5)186231.3423
0.2111 (4.7368)319192.28887
0.2222 (4.5)738771.297308
0.2333 (4.2857)1109952.772943
0.2444 (4.0909)382716.837077
0.2556 (3.913)40646.78774
0.2667 (3.75)156448.871719
0.2778 (3.6)302417.297317
0.2889 (3.4615)3126940.07603
0.3 (3.3333)206018.447284
0.3111 (3.2143)968646.284775
0.3222 (3.1034)229705.198355
0.3333 (3)346160.023783
0.3444 (2.9032)162549.802414
0.3556 (2.8125)115955.764179
0.3667 (2.7273)367660.666495
0.3778 (2.6471)1976819.765238
0.3889 (2.5714)712605.390961
0.4 (2.5)101685.562758
0.4111 (2.4324)401364.043471
0.4222 (2.3684)110071.093503
0.4333 (2.3077)97469.24175
0.4444 (2.25)35084.80678
0.4556 (2.1951)1571172.434057
0.4667 (2.1429)578997.946473
0.4778 (2.093)18778.825334
0.4889 (2.0455)468536.370493
0.5 (2)34716.295629


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')