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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 computationThu, 20 Dec 2012 11:02:31 -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/20/t135601936954zf8oyqkpnd3n9.htm/, Retrieved Tue, 23 Apr 2024 09:51:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=202821, Retrieved Tue, 23 Apr 2024 09:51:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact100

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] [Paper - exogene v...] [2010-12-01 16:02:49] [6f0e7a2d1a07390e3505a2db8288f975]
- RMP   [(Partial) Autocorrelation Function] [ACF 1] [2012-12-01 12:28:25] [aa4758794357e809405bf1fb1497cdc4]
- RMP     [Spectral Analysis] [Spectral Analysis] [2012-12-01 12:37:54] [aa4758794357e809405bf1fb1497cdc4]
- R           [Spectral Analysis] [spectral analysis 2] [2012-12-20 16:02:31] [eef9f4a55a40721b371cf4577ce601c1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9769
9321
9939
9336
10195
9464
10010
10213
9563
9890
9305
9391
9928
8686
9843
9627
10074
9503
10119
10000
9313
9866
9172
9241
9659
8904
9755
9080
9435
8971
10063
9793
9454
9759
8820
9403
9676
8642
9402
9610
9294
9448
10319
9548
9801
9596
8923
9746
9829
9125
9782
9441
9162
9915
10444
10209
9985
9842
9429
10132
9849
9172
10313
9819
9955
10048
10082
10541
10208
10233
9439
9963
10158
9225
10474
9757
10490
10281
10444
10640
10695
10786
9832
9747
10411
9511
10402
9701
10540
10112
10915
11183
10384
10834
9886
10216

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202821&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202821&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202821&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'Gertrude Mary Cox' @ cox.wessa.net






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
0.0111 (90)9574.566455
0.0222 (45)1954.634992
0.0333 (30)2836.769883
0.0444 (22.5)9312.255303
0.0556 (18)7353.909611
0.0667 (15)9961.872848
0.0778 (12.8571)3105.928879
0.0889 (11.25)11874.44133
0.1 (10)7952.239573
0.1111 (9)3731.639122
0.1222 (8.1818)104198.47784
0.1333 (7.5)124561.578779
0.1444 (6.9231)28201.895746
0.1556 (6.4286)26575.231591
0.1667 (6)18097.533357
0.1778 (5.625)104111.761253
0.1889 (5.2941)103134.737146
0.2 (5)33678.768418
0.2111 (4.7368)330892.90413
0.2222 (4.5)439386.038055
0.2333 (4.2857)140533.714222
0.2444 (4.0909)22114.431568
0.2556 (3.913)74472.849363
0.2667 (3.75)43062.851178
0.2778 (3.6)62358.024788
0.2889 (3.4615)200758.547905
0.3 (3.3333)105157.11635
0.3111 (3.2143)112779.126066
0.3222 (3.1034)46079.289378
0.3333 (3)4505.194387
0.3444 (2.9032)1017547.808707
0.3556 (2.8125)371888.522288
0.3667 (2.7273)284742.373587
0.3778 (2.6471)32637.983247
0.3889 (2.5714)202588.183735
0.4 (2.5)129858.960164
0.4111 (2.4324)116991.453257
0.4222 (2.3684)184225.618468
0.4333 (2.3077)867877.065618
0.4444 (2.25)295081.406242
0.4556 (2.1951)18792.29463
0.4667 (2.1429)48071.393943
0.4778 (2.093)133277.498942
0.4889 (2.0455)293477.0914
0.5 (2)1170.487415

\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
0.0111 (90) & 9574.566455 \tabularnewline
0.0222 (45) & 1954.634992 \tabularnewline
0.0333 (30) & 2836.769883 \tabularnewline
0.0444 (22.5) & 9312.255303 \tabularnewline
0.0556 (18) & 7353.909611 \tabularnewline
0.0667 (15) & 9961.872848 \tabularnewline
0.0778 (12.8571) & 3105.928879 \tabularnewline
0.0889 (11.25) & 11874.44133 \tabularnewline
0.1 (10) & 7952.239573 \tabularnewline
0.1111 (9) & 3731.639122 \tabularnewline
0.1222 (8.1818) & 104198.47784 \tabularnewline
0.1333 (7.5) & 124561.578779 \tabularnewline
0.1444 (6.9231) & 28201.895746 \tabularnewline
0.1556 (6.4286) & 26575.231591 \tabularnewline
0.1667 (6) & 18097.533357 \tabularnewline
0.1778 (5.625) & 104111.761253 \tabularnewline
0.1889 (5.2941) & 103134.737146 \tabularnewline
0.2 (5) & 33678.768418 \tabularnewline
0.2111 (4.7368) & 330892.90413 \tabularnewline
0.2222 (4.5) & 439386.038055 \tabularnewline
0.2333 (4.2857) & 140533.714222 \tabularnewline
0.2444 (4.0909) & 22114.431568 \tabularnewline
0.2556 (3.913) & 74472.849363 \tabularnewline
0.2667 (3.75) & 43062.851178 \tabularnewline
0.2778 (3.6) & 62358.024788 \tabularnewline
0.2889 (3.4615) & 200758.547905 \tabularnewline
0.3 (3.3333) & 105157.11635 \tabularnewline
0.3111 (3.2143) & 112779.126066 \tabularnewline
0.3222 (3.1034) & 46079.289378 \tabularnewline
0.3333 (3) & 4505.194387 \tabularnewline
0.3444 (2.9032) & 1017547.808707 \tabularnewline
0.3556 (2.8125) & 371888.522288 \tabularnewline
0.3667 (2.7273) & 284742.373587 \tabularnewline
0.3778 (2.6471) & 32637.983247 \tabularnewline
0.3889 (2.5714) & 202588.183735 \tabularnewline
0.4 (2.5) & 129858.960164 \tabularnewline
0.4111 (2.4324) & 116991.453257 \tabularnewline
0.4222 (2.3684) & 184225.618468 \tabularnewline
0.4333 (2.3077) & 867877.065618 \tabularnewline
0.4444 (2.25) & 295081.406242 \tabularnewline
0.4556 (2.1951) & 18792.29463 \tabularnewline
0.4667 (2.1429) & 48071.393943 \tabularnewline
0.4778 (2.093) & 133277.498942 \tabularnewline
0.4889 (2.0455) & 293477.0914 \tabularnewline
0.5 (2) & 1170.487415 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=202821&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]0.0111 (90)[/C][C]9574.566455[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]1954.634992[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]2836.769883[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]9312.255303[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]7353.909611[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]9961.872848[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]3105.928879[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]11874.44133[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]7952.239573[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]3731.639122[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]104198.47784[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]124561.578779[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]28201.895746[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]26575.231591[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]18097.533357[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]104111.761253[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]103134.737146[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]33678.768418[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]330892.90413[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]439386.038055[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]140533.714222[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]22114.431568[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]74472.849363[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]43062.851178[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]62358.024788[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]200758.547905[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]105157.11635[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]112779.126066[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]46079.289378[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]4505.194387[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]1017547.808707[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]371888.522288[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]284742.373587[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]32637.983247[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]202588.183735[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]129858.960164[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]116991.453257[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]184225.618468[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]867877.065618[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]295081.406242[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]18792.29463[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]48071.393943[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]133277.498942[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]293477.0914[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1170.487415[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=202821&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=202821&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0111 (90)9574.566455
0.0222 (45)1954.634992
0.0333 (30)2836.769883
0.0444 (22.5)9312.255303
0.0556 (18)7353.909611
0.0667 (15)9961.872848
0.0778 (12.8571)3105.928879
0.0889 (11.25)11874.44133
0.1 (10)7952.239573
0.1111 (9)3731.639122
0.1222 (8.1818)104198.47784
0.1333 (7.5)124561.578779
0.1444 (6.9231)28201.895746
0.1556 (6.4286)26575.231591
0.1667 (6)18097.533357
0.1778 (5.625)104111.761253
0.1889 (5.2941)103134.737146
0.2 (5)33678.768418
0.2111 (4.7368)330892.90413
0.2222 (4.5)439386.038055
0.2333 (4.2857)140533.714222
0.2444 (4.0909)22114.431568
0.2556 (3.913)74472.849363
0.2667 (3.75)43062.851178
0.2778 (3.6)62358.024788
0.2889 (3.4615)200758.547905
0.3 (3.3333)105157.11635
0.3111 (3.2143)112779.126066
0.3222 (3.1034)46079.289378
0.3333 (3)4505.194387
0.3444 (2.9032)1017547.808707
0.3556 (2.8125)371888.522288
0.3667 (2.7273)284742.373587
0.3778 (2.6471)32637.983247
0.3889 (2.5714)202588.183735
0.4 (2.5)129858.960164
0.4111 (2.4324)116991.453257
0.4222 (2.3684)184225.618468
0.4333 (2.3077)867877.065618
0.4444 (2.25)295081.406242
0.4556 (2.1951)18792.29463
0.4667 (2.1429)48071.393943
0.4778 (2.093)133277.498942
0.4889 (2.0455)293477.0914
0.5 (2)1170.487415


Figures (Output of Computation)

Input Parameters & R Code

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