Free Statistics

of Irreproducible Research!

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, 22 Nov 2009 13:46:04 +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/2009/Nov/22/t1258893992epn3p7xc7oamm4z.htm/, Retrieved Mon, 26 Feb 2024 03:43:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=58622, Retrieved Mon, 26 Feb 2024 03:43:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact427
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP         [Spectral Analysis] [Identifying Integ...] [2009-11-22 12:46:04] [d76b387543b13b5e3afd8ff9e5fdc89f] [Current]
-    D          [Spectral Analysis] [] [2009-11-24 10:18:30] [fef2f8976fa1eef1b54e2cee317fe737]
-    D            [Spectral Analysis] [] [2009-12-18 15:59:39] [fef2f8976fa1eef1b54e2cee317fe737]
-    D              [Spectral Analysis] [] [2009-12-18 16:02:40] [fef2f8976fa1eef1b54e2cee317fe737]
-    D          [Spectral Analysis] [] [2009-11-24 11:19:05] [5d885a68c2332cc44f6191ec94766bfa]
-    D            [Spectral Analysis] [Spectrum d=1 D=1] [2009-12-04 12:26:02] [74be16979710d4c4e7c6647856088456]
-   PD            [Spectral Analysis] [] [2009-12-20 09:50:38] [5d885a68c2332cc44f6191ec94766bfa]
-    D          [Spectral Analysis] [SHW WS8] [2009-11-24 12:12:03] [253127ae8da904b75450fbd69fe4eb21]
-   P             [Spectral Analysis] [SHW WS8] [2009-11-27 10:07:35] [253127ae8da904b75450fbd69fe4eb21]
- R  D          [Spectral Analysis] [] [2009-11-24 13:06:12] [3445d50c581a74ea3ff7b84cc82fcfeb]
- R  D          [Spectral Analysis] [] [2009-11-24 13:54:48] [e2ae2d788de9b949efa455f763351347]
- R  D          [Spectral Analysis] [Bestedingen consu...] [2009-11-24 15:58:06] [54d83950395cfb8ca1091bdb7440f70a]
-    D          [Spectral Analysis] [Spectrumanalyse d...] [2009-11-24 16:41:42] [e2a6b1b31bd881219e1879835b4c60d0]
-    D          [Spectral Analysis] [] [2009-11-24 18:41:22] [96d96f181930b548ce74f8c3116c4873]
-    D          [Spectral Analysis] [SHWWS8methode3b] [2009-11-24 18:54:49] [a66d3a79ef9e5308cd94a469bc5ca464]
-   P             [Spectral Analysis] [SHWPaper1] [2009-12-04 14:32:56] [a66d3a79ef9e5308cd94a469bc5ca464]
-    D          [Spectral Analysis] [] [2009-11-24 19:03:33] [7369a9baefff1ba9d2171738b4c9faa6]
-    D          [Spectral Analysis] [] [2009-11-24 20:54:42] [1c9e2d56abd8ff474f03ef7df8c5b4d9]
-    D          [Spectral Analysis] [ws 8] [2009-11-24 21:06:33] [b5908418e3090fddbd22f5f0f774653d]
-    D          [Spectral Analysis] [] [2009-11-25 08:35:00] [325e037ef8beb77178124dff9c2e015a]
-    D          [Spectral Analysis] [WS 8] [2009-11-25 11:54:36] [3e19a07d230ba260a720e0e03e0f40f2]
-   PD          [Spectral Analysis] [WS 8] [2009-11-25 11:58:35] [3e19a07d230ba260a720e0e03e0f40f2]
-    D          [Spectral Analysis] [] [2009-11-25 12:48:37] [d811f621c525a990f9b60f1ae1e2e8fd]
-    D          [Spectral Analysis] [WS 8 Methode 3: S...] [2009-11-25 13:29:18] [b103a1dc147def8132c7f643ad8c8f84]
-   P             [Spectral Analysis] [WS 8] [2009-11-27 11:50:34] [101f710c1bf3d900563184d79f7da6e1]
-    D            [Spectral Analysis] [Paper: Spectral a...] [2009-12-17 13:14:51] [b103a1dc147def8132c7f643ad8c8f84]
F    D          [Spectral Analysis] [Spectral Analysis...] [2009-11-25 14:17:31] [4395c69e961f9a13a0559fd2f0a72538]
-   P             [Spectral Analysis] [workshop 8 D=2 en...] [2009-12-02 16:07:18] [af8eb90b4bf1bcfcc4325c143dbee260]
-    D          [Spectral Analysis] [WS8 berekening8 TVD] [2009-11-25 15:43:01] [42ad1186d39724f834063794eac7cea3]
-                 [Spectral Analysis] [BDM8] [2009-11-25 17:17:50] [f5d341d4bbba73282fc6e80153a6d315]
-                 [Spectral Analysis] [TG8] [2009-11-25 17:26:03] [a21bac9c8d3d56fdec8be4e719e2c7ed]
-   PD          [Spectral Analysis] [workshop 8] [2009-11-25 15:46:19] [309ee52d0058ff0a6f7eec15e07b2d9f]
-   PD          [Spectral Analysis] [workshop 8] [2009-11-25 15:59:48] [309ee52d0058ff0a6f7eec15e07b2d9f]
-   PD          [Spectral Analysis] [] [2009-11-25 16:08:16] [74be16979710d4c4e7c6647856088456]
-    D          [Spectral Analysis] [WS8] [2009-11-25 16:25:16] [90e6802d28d0afa9b030a19cd25ed2b0]
-   PD          [Spectral Analysis] [Spec(3)] [2009-11-25 16:41:58] [d2bea3ec23e91643318a5bccf3e3b9df]
-    D          [Spectral Analysis] [Ws8 method 3 link 3] [2009-11-25 16:49:17] [616e2df490b611f6cb7080068870ecbd]
-   P             [Spectral Analysis] [Ws8 method 3 link 4] [2009-11-25 17:25:41] [616e2df490b611f6cb7080068870ecbd]
F    D          [Spectral Analysis] [] [2009-11-25 18:18:40] [cf890101a20378422561610e0d41fd9c]
-   PD            [Spectral Analysis] [WS8 spectrum] [2009-11-29 12:28:28] [626f1d98f4a7f05bcb9f17666b672c60]
-   PD            [Spectral Analysis] [workshop 8 review] [2009-11-29 15:30:46] [309ee52d0058ff0a6f7eec15e07b2d9f]
-   PD          [Spectral Analysis] [] [2009-11-25 20:20:34] [94b62ad0aa784646217b93aa983cee13]
-    D          [Spectral Analysis] [WS 8.7] [2009-11-25 20:21:05] [74be16979710d4c4e7c6647856088456]
- R PD          [Spectral Analysis] [Spectrum Link 3] [2009-11-25 20:33:43] [1f74ef2f756548f1f3a7b6136ea56d7f]
F   PD          [Spectral Analysis] [workshop 8.6] [2009-11-25 22:38:37] [35f0fff14d789f48983afb62e692bd0d]
-   PD          [Spectral Analysis] [workshop 8.7] [2009-11-25 22:45:25] [35f0fff14d789f48983afb62e692bd0d]
-   P             [Spectral Analysis] [] [2009-11-30 18:10:06] [4f76e114ed5e444b1133aad392380aad]
- R                 [Spectral Analysis] [ws8-2] [2009-12-02 17:36:33] [74be16979710d4c4e7c6647856088456]
-    D          [Spectral Analysis] [SPECTRUM (bereken...] [2009-11-25 22:48:37] [4b87f7428fbf2a3c94095f0b8c4ae313]

[Truncated]
Feedback Forum

Post a new message
Dataseries X:
9700
9081
9084
9743
8587
9731
9563
9998
9437
10038
9918
9252
9737
9035
9133
9487
8700
9627
8947
9283
8829
9947
9628
9318
9605
8640
9214
9567
8547
9185
9470
9123
9278
10170
9434
9655
9429
8739
9552
9687
9019
9672
9206
9069
9788
10312
10105
9863
9656
9295
9946
9701
9049
10190
9706
9765
9893
9994
10433
10073
10112
9266
9820
10097
9115
10411
9678
10408
10153
10368
10581
10597
10680
9738
9556




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=58622&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=58622&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=58622&T=0

As an alternative you can also use a 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'RServer@AstonUniversity' @ vre.aston.ac.uk







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
0.0156 (64)937.960129
0.0312 (32)9627.676477
0.0469 (21.3333)20936.781322
0.0625 (16)2602.61381
0.0781 (12.8)4014.651807
0.0938 (10.6667)13658.923232
0.1094 (9.1429)12029.052998
0.125 (8)104352.689156
0.1406 (7.1111)75377.58911
0.1562 (6.4)86629.607123
0.1719 (5.8182)27276.351832
0.1875 (5.3333)123563.788197
0.2031 (4.9231)120720.144816
0.2188 (4.5714)571198.406315
0.2344 (4.2667)73567.376583
0.25 (4)21155.997567
0.2656 (3.7647)25619.427188
0.2812 (3.5556)69855.77532
0.2969 (3.3684)173822.906657
0.3125 (3.2)55757.801247
0.3281 (3.0476)30968.47472
0.3438 (2.9091)570090.299927
0.3594 (2.7826)765750.336057
0.375 (2.6667)144982.418321
0.3906 (2.56)112228.866807
0.4062 (2.4615)225496.340927
0.4219 (2.3704)188707.394545
0.4375 (2.2857)1086130.379763
0.4531 (2.2069)115151.761008
0.4688 (2.1333)59854.155279
0.4844 (2.0645)227575.400653
0.5 (2)199.207818

\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
0.0156 (64) & 937.960129 \tabularnewline
0.0312 (32) & 9627.676477 \tabularnewline
0.0469 (21.3333) & 20936.781322 \tabularnewline
0.0625 (16) & 2602.61381 \tabularnewline
0.0781 (12.8) & 4014.651807 \tabularnewline
0.0938 (10.6667) & 13658.923232 \tabularnewline
0.1094 (9.1429) & 12029.052998 \tabularnewline
0.125 (8) & 104352.689156 \tabularnewline
0.1406 (7.1111) & 75377.58911 \tabularnewline
0.1562 (6.4) & 86629.607123 \tabularnewline
0.1719 (5.8182) & 27276.351832 \tabularnewline
0.1875 (5.3333) & 123563.788197 \tabularnewline
0.2031 (4.9231) & 120720.144816 \tabularnewline
0.2188 (4.5714) & 571198.406315 \tabularnewline
0.2344 (4.2667) & 73567.376583 \tabularnewline
0.25 (4) & 21155.997567 \tabularnewline
0.2656 (3.7647) & 25619.427188 \tabularnewline
0.2812 (3.5556) & 69855.77532 \tabularnewline
0.2969 (3.3684) & 173822.906657 \tabularnewline
0.3125 (3.2) & 55757.801247 \tabularnewline
0.3281 (3.0476) & 30968.47472 \tabularnewline
0.3438 (2.9091) & 570090.299927 \tabularnewline
0.3594 (2.7826) & 765750.336057 \tabularnewline
0.375 (2.6667) & 144982.418321 \tabularnewline
0.3906 (2.56) & 112228.866807 \tabularnewline
0.4062 (2.4615) & 225496.340927 \tabularnewline
0.4219 (2.3704) & 188707.394545 \tabularnewline
0.4375 (2.2857) & 1086130.379763 \tabularnewline
0.4531 (2.2069) & 115151.761008 \tabularnewline
0.4688 (2.1333) & 59854.155279 \tabularnewline
0.4844 (2.0645) & 227575.400653 \tabularnewline
0.5 (2) & 199.207818 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=58622&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]0.0156 (64)[/C][C]937.960129[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]9627.676477[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]20936.781322[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]2602.61381[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]4014.651807[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]13658.923232[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]12029.052998[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]104352.689156[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]75377.58911[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]86629.607123[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]27276.351832[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]123563.788197[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]120720.144816[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]571198.406315[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]73567.376583[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]21155.997567[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]25619.427188[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]69855.77532[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]173822.906657[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]55757.801247[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]30968.47472[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]570090.299927[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]765750.336057[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]144982.418321[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]112228.866807[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]225496.340927[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]188707.394545[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]1086130.379763[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]115151.761008[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]59854.155279[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]227575.400653[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]199.207818[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=58622&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=58622&T=1

As an alternative you can also use a 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
0.0156 (64)937.960129
0.0312 (32)9627.676477
0.0469 (21.3333)20936.781322
0.0625 (16)2602.61381
0.0781 (12.8)4014.651807
0.0938 (10.6667)13658.923232
0.1094 (9.1429)12029.052998
0.125 (8)104352.689156
0.1406 (7.1111)75377.58911
0.1562 (6.4)86629.607123
0.1719 (5.8182)27276.351832
0.1875 (5.3333)123563.788197
0.2031 (4.9231)120720.144816
0.2188 (4.5714)571198.406315
0.2344 (4.2667)73567.376583
0.25 (4)21155.997567
0.2656 (3.7647)25619.427188
0.2812 (3.5556)69855.77532
0.2969 (3.3684)173822.906657
0.3125 (3.2)55757.801247
0.3281 (3.0476)30968.47472
0.3438 (2.9091)570090.299927
0.3594 (2.7826)765750.336057
0.375 (2.6667)144982.418321
0.3906 (2.56)112228.866807
0.4062 (2.4615)225496.340927
0.4219 (2.3704)188707.394545
0.4375 (2.2857)1086130.379763
0.4531 (2.2069)115151.761008
0.4688 (2.1333)59854.155279
0.4844 (2.0645)227575.400653
0.5 (2)199.207818



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')