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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 computationWed, 14 Dec 2016 11:35:32 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/14/t1481711834tudqknvjgozhwx1.htm/, Retrieved Fri, 01 Nov 2024 03:47:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299290, Retrieved Fri, 01 Nov 2024 03:47:01 +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)
-       [Spectral Analysis] [Spectral Analaysi...] [2016-12-14 10:35:32] [f916b4255bf1e1993d1067800ff1f972] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5033
4509.5
3970
3378
2866
2315.5
1895
8401.5
8040
7534
7135.5
6466.5
5661.5
4896
4064.5
3296
2593.5
2007
1513.5
6645
6221.5
5474
5135.5
4630.5
4164
3600.5
2969
2503.5
2054.5
1608.5
1297.5
8485
8163.5
7814
7453.5
6888.5
6283.5
5712
5030
4488
4058.5
3585
3199.5
8181
8219.5
7865.5
7516.5
7116
6615.5
6216.5
5699.5
5179
4727.5
4224.5
3780.5
7023.5
6558
6257.5
5862.5
5343
4756
4173.5
3451.5
2849
2351
1887.5
1416.5
7399
7013
6644.5
6238.5
5721
5137.5
4357
3750.5
3324
2861
2455.5
2027.5
8388.5
7910
7686
7163
6841.5
6448.5
6060.5
5739
5362.5
5081
4764
4522.5
9056.5
8352
7683
7319.5
6708
6204.5
5576.5
4776.5
4279.5
3918
3288.5
2393.5
8131.5
8121
7790.5
7411.5
6861
6197
5622.5
4855.5
4303.5
3853.5
3283.5
2861.5
9486.5
9061
8877.5
8557.5
8031
7404.5
6852.5
6174.5
5341.5
4975.5
4290

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299290&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299290&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299290&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.008 (125)70965.998473
0.016 (62.5)22785.970109
0.024 (41.6667)904229.680464
0.032 (31.25)17215.582709
0.04 (25)37620.908141
0.048 (20.8333)133507.138085
0.056 (17.8571)514521.74727
0.064 (15.625)360508.365525
0.072 (13.8889)2466410.791921
0.08 (12.5)20772839.957634
0.088 (11.3636)11447864.125358
0.096 (10.4167)1876397.895182
0.104 (9.6154)1077718.050102
0.112 (8.9286)779973.416924
0.12 (8.3333)224559.345948
0.128 (7.8125)109089.651538
0.136 (7.3529)184893.278688
0.144 (6.9444)569316.769162
0.152 (6.5789)1193446.668827
0.16 (6.25)1670409.823788
0.168 (5.9524)25498236.420233
0.176 (5.6818)397116.137962
0.184 (5.4348)51883.574266
0.192 (5.2083)474877.970005
0.2 (5)71026.592722
0.208 (4.8077)62246.720788
0.216 (4.6296)18239.423468
0.224 (4.4643)405321.011151
0.232 (4.3103)82104.530565
0.24 (4.1667)975335.423643
0.248 (4.0323)25225047.881112
0.256 (3.9062)3316401.454007
0.264 (3.7879)1243852.219159
0.272 (3.6765)896816.082108
0.28 (3.5714)505564.452625
0.288 (3.4722)200778.734829
0.296 (3.3784)276357.175309
0.304 (3.2895)366491.677857
0.312 (3.2051)635578.128576
0.32 (3.125)1988213.220159
0.328 (3.0488)6084360.717357
0.336 (2.9762)22480314.235923
0.344 (2.907)1617635.851619
0.352 (2.8409)209466.494542
0.36 (2.7778)437562.940414
0.368 (2.7174)71258.766445
0.376 (2.6596)55628.985598
0.384 (2.6042)521.784084
0.392 (2.551)419655.26938
0.4 (2.5)122368.503111
0.408 (2.451)109280.602429
0.416 (2.4038)28034833.567978
0.424 (2.3585)658747.540773
0.432 (2.3148)524608.249438
0.44 (2.2727)853489.533724
0.448 (2.2321)181646.007889
0.456 (2.193)95891.626349
0.464 (2.1552)211745.8467
0.472 (2.1186)574681.341144
0.48 (2.0833)554110.698339
0.488 (2.0492)1712059.261803
0.496 (2.0161)13091007.952169

\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) & 0 \tabularnewline
Seasonal Period (s) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.008 (125) & 70965.998473 \tabularnewline
0.016 (62.5) & 22785.970109 \tabularnewline
0.024 (41.6667) & 904229.680464 \tabularnewline
0.032 (31.25) & 17215.582709 \tabularnewline
0.04 (25) & 37620.908141 \tabularnewline
0.048 (20.8333) & 133507.138085 \tabularnewline
0.056 (17.8571) & 514521.74727 \tabularnewline
0.064 (15.625) & 360508.365525 \tabularnewline
0.072 (13.8889) & 2466410.791921 \tabularnewline
0.08 (12.5) & 20772839.957634 \tabularnewline
0.088 (11.3636) & 11447864.125358 \tabularnewline
0.096 (10.4167) & 1876397.895182 \tabularnewline
0.104 (9.6154) & 1077718.050102 \tabularnewline
0.112 (8.9286) & 779973.416924 \tabularnewline
0.12 (8.3333) & 224559.345948 \tabularnewline
0.128 (7.8125) & 109089.651538 \tabularnewline
0.136 (7.3529) & 184893.278688 \tabularnewline
0.144 (6.9444) & 569316.769162 \tabularnewline
0.152 (6.5789) & 1193446.668827 \tabularnewline
0.16 (6.25) & 1670409.823788 \tabularnewline
0.168 (5.9524) & 25498236.420233 \tabularnewline
0.176 (5.6818) & 397116.137962 \tabularnewline
0.184 (5.4348) & 51883.574266 \tabularnewline
0.192 (5.2083) & 474877.970005 \tabularnewline
0.2 (5) & 71026.592722 \tabularnewline
0.208 (4.8077) & 62246.720788 \tabularnewline
0.216 (4.6296) & 18239.423468 \tabularnewline
0.224 (4.4643) & 405321.011151 \tabularnewline
0.232 (4.3103) & 82104.530565 \tabularnewline
0.24 (4.1667) & 975335.423643 \tabularnewline
0.248 (4.0323) & 25225047.881112 \tabularnewline
0.256 (3.9062) & 3316401.454007 \tabularnewline
0.264 (3.7879) & 1243852.219159 \tabularnewline
0.272 (3.6765) & 896816.082108 \tabularnewline
0.28 (3.5714) & 505564.452625 \tabularnewline
0.288 (3.4722) & 200778.734829 \tabularnewline
0.296 (3.3784) & 276357.175309 \tabularnewline
0.304 (3.2895) & 366491.677857 \tabularnewline
0.312 (3.2051) & 635578.128576 \tabularnewline
0.32 (3.125) & 1988213.220159 \tabularnewline
0.328 (3.0488) & 6084360.717357 \tabularnewline
0.336 (2.9762) & 22480314.235923 \tabularnewline
0.344 (2.907) & 1617635.851619 \tabularnewline
0.352 (2.8409) & 209466.494542 \tabularnewline
0.36 (2.7778) & 437562.940414 \tabularnewline
0.368 (2.7174) & 71258.766445 \tabularnewline
0.376 (2.6596) & 55628.985598 \tabularnewline
0.384 (2.6042) & 521.784084 \tabularnewline
0.392 (2.551) & 419655.26938 \tabularnewline
0.4 (2.5) & 122368.503111 \tabularnewline
0.408 (2.451) & 109280.602429 \tabularnewline
0.416 (2.4038) & 28034833.567978 \tabularnewline
0.424 (2.3585) & 658747.540773 \tabularnewline
0.432 (2.3148) & 524608.249438 \tabularnewline
0.44 (2.2727) & 853489.533724 \tabularnewline
0.448 (2.2321) & 181646.007889 \tabularnewline
0.456 (2.193) & 95891.626349 \tabularnewline
0.464 (2.1552) & 211745.8467 \tabularnewline
0.472 (2.1186) & 574681.341144 \tabularnewline
0.48 (2.0833) & 554110.698339 \tabularnewline
0.488 (2.0492) & 1712059.261803 \tabularnewline
0.496 (2.0161) & 13091007.952169 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299290&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.008 (125)[/C][C]70965.998473[/C][/ROW]
[ROW][C]0.016 (62.5)[/C][C]22785.970109[/C][/ROW]
[ROW][C]0.024 (41.6667)[/C][C]904229.680464[/C][/ROW]
[ROW][C]0.032 (31.25)[/C][C]17215.582709[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]37620.908141[/C][/ROW]
[ROW][C]0.048 (20.8333)[/C][C]133507.138085[/C][/ROW]
[ROW][C]0.056 (17.8571)[/C][C]514521.74727[/C][/ROW]
[ROW][C]0.064 (15.625)[/C][C]360508.365525[/C][/ROW]
[ROW][C]0.072 (13.8889)[/C][C]2466410.791921[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]20772839.957634[/C][/ROW]
[ROW][C]0.088 (11.3636)[/C][C]11447864.125358[/C][/ROW]
[ROW][C]0.096 (10.4167)[/C][C]1876397.895182[/C][/ROW]
[ROW][C]0.104 (9.6154)[/C][C]1077718.050102[/C][/ROW]
[ROW][C]0.112 (8.9286)[/C][C]779973.416924[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]224559.345948[/C][/ROW]
[ROW][C]0.128 (7.8125)[/C][C]109089.651538[/C][/ROW]
[ROW][C]0.136 (7.3529)[/C][C]184893.278688[/C][/ROW]
[ROW][C]0.144 (6.9444)[/C][C]569316.769162[/C][/ROW]
[ROW][C]0.152 (6.5789)[/C][C]1193446.668827[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]1670409.823788[/C][/ROW]
[ROW][C]0.168 (5.9524)[/C][C]25498236.420233[/C][/ROW]
[ROW][C]0.176 (5.6818)[/C][C]397116.137962[/C][/ROW]
[ROW][C]0.184 (5.4348)[/C][C]51883.574266[/C][/ROW]
[ROW][C]0.192 (5.2083)[/C][C]474877.970005[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]71026.592722[/C][/ROW]
[ROW][C]0.208 (4.8077)[/C][C]62246.720788[/C][/ROW]
[ROW][C]0.216 (4.6296)[/C][C]18239.423468[/C][/ROW]
[ROW][C]0.224 (4.4643)[/C][C]405321.011151[/C][/ROW]
[ROW][C]0.232 (4.3103)[/C][C]82104.530565[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]975335.423643[/C][/ROW]
[ROW][C]0.248 (4.0323)[/C][C]25225047.881112[/C][/ROW]
[ROW][C]0.256 (3.9062)[/C][C]3316401.454007[/C][/ROW]
[ROW][C]0.264 (3.7879)[/C][C]1243852.219159[/C][/ROW]
[ROW][C]0.272 (3.6765)[/C][C]896816.082108[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]505564.452625[/C][/ROW]
[ROW][C]0.288 (3.4722)[/C][C]200778.734829[/C][/ROW]
[ROW][C]0.296 (3.3784)[/C][C]276357.175309[/C][/ROW]
[ROW][C]0.304 (3.2895)[/C][C]366491.677857[/C][/ROW]
[ROW][C]0.312 (3.2051)[/C][C]635578.128576[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]1988213.220159[/C][/ROW]
[ROW][C]0.328 (3.0488)[/C][C]6084360.717357[/C][/ROW]
[ROW][C]0.336 (2.9762)[/C][C]22480314.235923[/C][/ROW]
[ROW][C]0.344 (2.907)[/C][C]1617635.851619[/C][/ROW]
[ROW][C]0.352 (2.8409)[/C][C]209466.494542[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]437562.940414[/C][/ROW]
[ROW][C]0.368 (2.7174)[/C][C]71258.766445[/C][/ROW]
[ROW][C]0.376 (2.6596)[/C][C]55628.985598[/C][/ROW]
[ROW][C]0.384 (2.6042)[/C][C]521.784084[/C][/ROW]
[ROW][C]0.392 (2.551)[/C][C]419655.26938[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]122368.503111[/C][/ROW]
[ROW][C]0.408 (2.451)[/C][C]109280.602429[/C][/ROW]
[ROW][C]0.416 (2.4038)[/C][C]28034833.567978[/C][/ROW]
[ROW][C]0.424 (2.3585)[/C][C]658747.540773[/C][/ROW]
[ROW][C]0.432 (2.3148)[/C][C]524608.249438[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]853489.533724[/C][/ROW]
[ROW][C]0.448 (2.2321)[/C][C]181646.007889[/C][/ROW]
[ROW][C]0.456 (2.193)[/C][C]95891.626349[/C][/ROW]
[ROW][C]0.464 (2.1552)[/C][C]211745.8467[/C][/ROW]
[ROW][C]0.472 (2.1186)[/C][C]574681.341144[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]554110.698339[/C][/ROW]
[ROW][C]0.488 (2.0492)[/C][C]1712059.261803[/C][/ROW]
[ROW][C]0.496 (2.0161)[/C][C]13091007.952169[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299290&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299290&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)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.008 (125)70965.998473
0.016 (62.5)22785.970109
0.024 (41.6667)904229.680464
0.032 (31.25)17215.582709
0.04 (25)37620.908141
0.048 (20.8333)133507.138085
0.056 (17.8571)514521.74727
0.064 (15.625)360508.365525
0.072 (13.8889)2466410.791921
0.08 (12.5)20772839.957634
0.088 (11.3636)11447864.125358
0.096 (10.4167)1876397.895182
0.104 (9.6154)1077718.050102
0.112 (8.9286)779973.416924
0.12 (8.3333)224559.345948
0.128 (7.8125)109089.651538
0.136 (7.3529)184893.278688
0.144 (6.9444)569316.769162
0.152 (6.5789)1193446.668827
0.16 (6.25)1670409.823788
0.168 (5.9524)25498236.420233
0.176 (5.6818)397116.137962
0.184 (5.4348)51883.574266
0.192 (5.2083)474877.970005
0.2 (5)71026.592722
0.208 (4.8077)62246.720788
0.216 (4.6296)18239.423468
0.224 (4.4643)405321.011151
0.232 (4.3103)82104.530565
0.24 (4.1667)975335.423643
0.248 (4.0323)25225047.881112
0.256 (3.9062)3316401.454007
0.264 (3.7879)1243852.219159
0.272 (3.6765)896816.082108
0.28 (3.5714)505564.452625
0.288 (3.4722)200778.734829
0.296 (3.3784)276357.175309
0.304 (3.2895)366491.677857
0.312 (3.2051)635578.128576
0.32 (3.125)1988213.220159
0.328 (3.0488)6084360.717357
0.336 (2.9762)22480314.235923
0.344 (2.907)1617635.851619
0.352 (2.8409)209466.494542
0.36 (2.7778)437562.940414
0.368 (2.7174)71258.766445
0.376 (2.6596)55628.985598
0.384 (2.6042)521.784084
0.392 (2.551)419655.26938
0.4 (2.5)122368.503111
0.408 (2.451)109280.602429
0.416 (2.4038)28034833.567978
0.424 (2.3585)658747.540773
0.432 (2.3148)524608.249438
0.44 (2.2727)853489.533724
0.448 (2.2321)181646.007889
0.456 (2.193)95891.626349
0.464 (2.1552)211745.8467
0.472 (2.1186)574681.341144
0.48 (2.0833)554110.698339
0.488 (2.0492)1712059.261803
0.496 (2.0161)13091007.952169


Figures (Output of Computation)

Input Parameters & R Code

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