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Author's title

Author*Unverified author*
R Software Module--
Title produced by softwareSpectral Analysis
Date of computationTue, 04 Dec 2012 14:49:18 -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/2012/Dec/04/t1354650612vk1x45jm1vuqdlv.htm/, Retrieved Fri, 29 Mar 2024 13:37:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=196568, Retrieved Fri, 29 Mar 2024 13:37:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
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       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Spectral Analysis] [Births] [2010-11-29 09:38:20] [b98453cac15ba1066b407e146608df68]
- R PD          [Spectral Analysis] [WS9 3.2 CP d=0, D=1] [2010-12-07 10:46:43] [afe9379cca749d06b3d6872e02cc47ed]
- R P             [Spectral Analysis] [WS 9 - CP2] [2012-12-04 18:41:47] [74be16979710d4c4e7c6647856088456]
- RM                  [Spectral Analysis] [] [2012-12-04 19:49:18] [d41d8cd98f00b204e9800998ecf8427e] [Current]
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Dataseries X:
12008
9169
8788
8417
8247
8197
8236
8253
7733
8366
8626
8863
10102
8463
9114
8563
8872
8301
8301
8278
7736
7973
8268
9476
11100
8962
9173
8738
8459
8078
8411
8291
7810
8616
8312
9692
9911
8915
9452
9112
8472
8230
8384
8625
8221
8649
8625
10443
10357
8586
8892
8329
8101
7922
8120
7838
7735
8406
8209
9451
10041
9411
10405
8467
8464
8102
7627
7513
7510
8291
8064
9383
9706
8579
9474
8318
8213
8059
9111
7708
7680
8014
8007
8718
9486
9113
9025
8476
7952
7759
7835
7600
7651
8319
8812
8630




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196568&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196568&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196568&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 time2 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)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0104 (96)598399.758038
0.0208 (48)206206.770823
0.0312 (32)10617.153929
0.0417 (24)142966.809215
0.0521 (19.2)204724.407921
0.0625 (16)634352.122256
0.0729 (13.7143)658773.604035
0.0833 (12)13712445.859621
0.0938 (10.6667)241185.625598
0.1042 (9.6)266541.436917
0.1146 (8.7273)28643.253819
0.125 (8)353153.710733
0.1354 (7.3846)707339.159476
0.1458 (6.8571)232799.945735
0.1562 (6.4)178002.908201
0.1667 (6)1836761.973213
0.1771 (5.6471)53022.192679
0.1875 (5.3333)30357.9024
0.1979 (5.0526)60674.119251
0.2083 (4.8)61984.33299
0.2188 (4.5714)215579.831787
0.2292 (4.3636)26713.830839
0.2396 (4.1739)192120.621864
0.25 (4)377452.495918
0.2604 (3.84)435541.915408
0.2708 (3.6923)33516.003039
0.2812 (3.5556)2276.909432
0.2917 (3.4286)152943.566308
0.3021 (3.3103)88278.243915
0.3125 (3.2)103507.049104
0.3229 (3.0968)78901.887609
0.3333 (3)1321962.946641
0.3438 (2.9091)325341.809425
0.3542 (2.8235)36907.996137
0.3646 (2.7429)26859.79213
0.375 (2.6667)48665.460919
0.3854 (2.5946)11370.38645
0.3958 (2.5263)88587.801334
0.4062 (2.4615)5983.820738
0.4167 (2.4)1555503.464356
0.4271 (2.3415)348503.511087
0.4375 (2.2857)233468.695823
0.4479 (2.2326)11936.745496
0.4583 (2.1818)12651.34607
0.4688 (2.1333)95750.430922
0.4792 (2.087)199347.658509
0.4896 (2.0426)31126.999912
0.5 (2)431734.97009

\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) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0104 (96) & 598399.758038 \tabularnewline
0.0208 (48) & 206206.770823 \tabularnewline
0.0312 (32) & 10617.153929 \tabularnewline
0.0417 (24) & 142966.809215 \tabularnewline
0.0521 (19.2) & 204724.407921 \tabularnewline
0.0625 (16) & 634352.122256 \tabularnewline
0.0729 (13.7143) & 658773.604035 \tabularnewline
0.0833 (12) & 13712445.859621 \tabularnewline
0.0938 (10.6667) & 241185.625598 \tabularnewline
0.1042 (9.6) & 266541.436917 \tabularnewline
0.1146 (8.7273) & 28643.253819 \tabularnewline
0.125 (8) & 353153.710733 \tabularnewline
0.1354 (7.3846) & 707339.159476 \tabularnewline
0.1458 (6.8571) & 232799.945735 \tabularnewline
0.1562 (6.4) & 178002.908201 \tabularnewline
0.1667 (6) & 1836761.973213 \tabularnewline
0.1771 (5.6471) & 53022.192679 \tabularnewline
0.1875 (5.3333) & 30357.9024 \tabularnewline
0.1979 (5.0526) & 60674.119251 \tabularnewline
0.2083 (4.8) & 61984.33299 \tabularnewline
0.2188 (4.5714) & 215579.831787 \tabularnewline
0.2292 (4.3636) & 26713.830839 \tabularnewline
0.2396 (4.1739) & 192120.621864 \tabularnewline
0.25 (4) & 377452.495918 \tabularnewline
0.2604 (3.84) & 435541.915408 \tabularnewline
0.2708 (3.6923) & 33516.003039 \tabularnewline
0.2812 (3.5556) & 2276.909432 \tabularnewline
0.2917 (3.4286) & 152943.566308 \tabularnewline
0.3021 (3.3103) & 88278.243915 \tabularnewline
0.3125 (3.2) & 103507.049104 \tabularnewline
0.3229 (3.0968) & 78901.887609 \tabularnewline
0.3333 (3) & 1321962.946641 \tabularnewline
0.3438 (2.9091) & 325341.809425 \tabularnewline
0.3542 (2.8235) & 36907.996137 \tabularnewline
0.3646 (2.7429) & 26859.79213 \tabularnewline
0.375 (2.6667) & 48665.460919 \tabularnewline
0.3854 (2.5946) & 11370.38645 \tabularnewline
0.3958 (2.5263) & 88587.801334 \tabularnewline
0.4062 (2.4615) & 5983.820738 \tabularnewline
0.4167 (2.4) & 1555503.464356 \tabularnewline
0.4271 (2.3415) & 348503.511087 \tabularnewline
0.4375 (2.2857) & 233468.695823 \tabularnewline
0.4479 (2.2326) & 11936.745496 \tabularnewline
0.4583 (2.1818) & 12651.34607 \tabularnewline
0.4688 (2.1333) & 95750.430922 \tabularnewline
0.4792 (2.087) & 199347.658509 \tabularnewline
0.4896 (2.0426) & 31126.999912 \tabularnewline
0.5 (2) & 431734.97009 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=196568&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]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0104 (96)[/C][C]598399.758038[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]206206.770823[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]10617.153929[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]142966.809215[/C][/ROW]
[ROW][C]0.0521 (19.2)[/C][C]204724.407921[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]634352.122256[/C][/ROW]
[ROW][C]0.0729 (13.7143)[/C][C]658773.604035[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]13712445.859621[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]241185.625598[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]266541.436917[/C][/ROW]
[ROW][C]0.1146 (8.7273)[/C][C]28643.253819[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]353153.710733[/C][/ROW]
[ROW][C]0.1354 (7.3846)[/C][C]707339.159476[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]232799.945735[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]178002.908201[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]1836761.973213[/C][/ROW]
[ROW][C]0.1771 (5.6471)[/C][C]53022.192679[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]30357.9024[/C][/ROW]
[ROW][C]0.1979 (5.0526)[/C][C]60674.119251[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]61984.33299[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]215579.831787[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]26713.830839[/C][/ROW]
[ROW][C]0.2396 (4.1739)[/C][C]192120.621864[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]377452.495918[/C][/ROW]
[ROW][C]0.2604 (3.84)[/C][C]435541.915408[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]33516.003039[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]2276.909432[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]152943.566308[/C][/ROW]
[ROW][C]0.3021 (3.3103)[/C][C]88278.243915[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]103507.049104[/C][/ROW]
[ROW][C]0.3229 (3.0968)[/C][C]78901.887609[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1321962.946641[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]325341.809425[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]36907.996137[/C][/ROW]
[ROW][C]0.3646 (2.7429)[/C][C]26859.79213[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]48665.460919[/C][/ROW]
[ROW][C]0.3854 (2.5946)[/C][C]11370.38645[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]88587.801334[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]5983.820738[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1555503.464356[/C][/ROW]
[ROW][C]0.4271 (2.3415)[/C][C]348503.511087[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]233468.695823[/C][/ROW]
[ROW][C]0.4479 (2.2326)[/C][C]11936.745496[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]12651.34607[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]95750.430922[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]199347.658509[/C][/ROW]
[ROW][C]0.4896 (2.0426)[/C][C]31126.999912[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]431734.97009[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=196568&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=196568&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0104 (96)598399.758038
0.0208 (48)206206.770823
0.0312 (32)10617.153929
0.0417 (24)142966.809215
0.0521 (19.2)204724.407921
0.0625 (16)634352.122256
0.0729 (13.7143)658773.604035
0.0833 (12)13712445.859621
0.0938 (10.6667)241185.625598
0.1042 (9.6)266541.436917
0.1146 (8.7273)28643.253819
0.125 (8)353153.710733
0.1354 (7.3846)707339.159476
0.1458 (6.8571)232799.945735
0.1562 (6.4)178002.908201
0.1667 (6)1836761.973213
0.1771 (5.6471)53022.192679
0.1875 (5.3333)30357.9024
0.1979 (5.0526)60674.119251
0.2083 (4.8)61984.33299
0.2188 (4.5714)215579.831787
0.2292 (4.3636)26713.830839
0.2396 (4.1739)192120.621864
0.25 (4)377452.495918
0.2604 (3.84)435541.915408
0.2708 (3.6923)33516.003039
0.2812 (3.5556)2276.909432
0.2917 (3.4286)152943.566308
0.3021 (3.3103)88278.243915
0.3125 (3.2)103507.049104
0.3229 (3.0968)78901.887609
0.3333 (3)1321962.946641
0.3438 (2.9091)325341.809425
0.3542 (2.8235)36907.996137
0.3646 (2.7429)26859.79213
0.375 (2.6667)48665.460919
0.3854 (2.5946)11370.38645
0.3958 (2.5263)88587.801334
0.4062 (2.4615)5983.820738
0.4167 (2.4)1555503.464356
0.4271 (2.3415)348503.511087
0.4375 (2.2857)233468.695823
0.4479 (2.2326)11936.745496
0.4583 (2.1818)12651.34607
0.4688 (2.1333)95750.430922
0.4792 (2.087)199347.658509
0.4896 (2.0426)31126.999912
0.5 (2)431734.97009



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')