FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationSun, 19 Dec 2010 15:14:16 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/19/t1292771549gndctm41kjy5e1o.htm/, Retrieved Sat, 04 May 2024 23:22:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112478, Retrieved Sat, 04 May 2024 23:22:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116

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]
- RMP   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
-    D    [Spectral Analysis] [Workshop 9, Stati...] [2010-12-03 13:49:29] [d946de7cca328fbcf207448a112523ab]
-   PD      [Spectral Analysis] [Paper CP werklozen] [2010-12-19 15:12:43] [d946de7cca328fbcf207448a112523ab]
-   P           [Spectral Analysis] [Paper CP D=1 d=1 ...] [2010-12-19 15:14:16] [99c051a77087383325372ff23bc64341] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
631923
654294
671833
586840
600969
625568
558110
630577
628654
603184
656255
600730
670326
678423
641502
625311
628177
589767
582471
636248
599885
621694
637406
595994
696308
674201
648861
649605
672392
598396
613177
638104
615632
634465
638686
604243
706669
677185
644328
664825
605707
600136
612166
599659
634210
618234
613576
627200
668973
651479
619661
644260
579936
601752
595376
588902
634341
594305
606200
610926
633685
639696
659451
593248
606677
599434
569578
629873
613438
604172
658328
612633
707372
739770
777535
685030
730234
714154
630872
719492
677023
679272
718317
645672

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112478&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112478&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112478&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 time2 seconds
R Server'George Udny Yule' @ 72.249.76.132






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)1
Frequency (Period)Spectrum
0.0111 (90)40846297.455938
0.0222 (45)4331805.888877
0.0333 (30)9862408.852892
0.0444 (22.5)29074100.706261
0.0556 (18)6920222.740235
0.0667 (15)60831921.226049
0.0778 (12.8571)697825033.203849
0.0889 (11.25)362587019.529293
0.1 (10)68954645.22197
0.1111 (9)111246098.212361
0.1222 (8.1818)12858845.849393
0.1333 (7.5)175024593.703982
0.1444 (6.9231)236170747.559941
0.1556 (6.4286)212262892.693116
0.1667 (6)3755647949.22178
0.1778 (5.625)103478148.496045
0.1889 (5.2941)215070620.527457
0.2 (5)511546871.800954
0.2111 (4.7368)33732641.758278
0.2222 (4.5)110637996.466624
0.2333 (4.2857)137135674.121653
0.2444 (4.0909)5309037972.88199
0.2556 (3.913)1449321375.83337
0.2667 (3.75)2456747161.41363
0.2778 (3.6)1104000165.76855
0.2889 (3.4615)1556974951.30091
0.3 (3.3333)1313835420.07909
0.3111 (3.2143)3182528542.44348
0.3222 (3.1034)2844867379.69983
0.3333 (3)13956704275.5933
0.3444 (2.9032)50750671523.1637
0.3556 (2.8125)19542416753.4796
0.3667 (2.7273)2712317296.37574
0.3778 (2.6471)509387882.100323
0.3889 (2.5714)14203383418.0828
0.4 (2.5)9542229685.05174
0.4111 (2.4324)10881210362.2868
0.4222 (2.3684)21824479568.9922
0.4333 (2.3077)28386373991.5053
0.4444 (2.25)546219568.030057
0.4556 (2.1951)1768334692.57745
0.4667 (2.1429)2200094165.24507
0.4778 (2.093)9590212835.92243
0.4889 (2.0455)199282895.679413
0.5 (2)18980801998.5125

\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) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0111 (90) & 40846297.455938 \tabularnewline
0.0222 (45) & 4331805.888877 \tabularnewline
0.0333 (30) & 9862408.852892 \tabularnewline
0.0444 (22.5) & 29074100.706261 \tabularnewline
0.0556 (18) & 6920222.740235 \tabularnewline
0.0667 (15) & 60831921.226049 \tabularnewline
0.0778 (12.8571) & 697825033.203849 \tabularnewline
0.0889 (11.25) & 362587019.529293 \tabularnewline
0.1 (10) & 68954645.22197 \tabularnewline
0.1111 (9) & 111246098.212361 \tabularnewline
0.1222 (8.1818) & 12858845.849393 \tabularnewline
0.1333 (7.5) & 175024593.703982 \tabularnewline
0.1444 (6.9231) & 236170747.559941 \tabularnewline
0.1556 (6.4286) & 212262892.693116 \tabularnewline
0.1667 (6) & 3755647949.22178 \tabularnewline
0.1778 (5.625) & 103478148.496045 \tabularnewline
0.1889 (5.2941) & 215070620.527457 \tabularnewline
0.2 (5) & 511546871.800954 \tabularnewline
0.2111 (4.7368) & 33732641.758278 \tabularnewline
0.2222 (4.5) & 110637996.466624 \tabularnewline
0.2333 (4.2857) & 137135674.121653 \tabularnewline
0.2444 (4.0909) & 5309037972.88199 \tabularnewline
0.2556 (3.913) & 1449321375.83337 \tabularnewline
0.2667 (3.75) & 2456747161.41363 \tabularnewline
0.2778 (3.6) & 1104000165.76855 \tabularnewline
0.2889 (3.4615) & 1556974951.30091 \tabularnewline
0.3 (3.3333) & 1313835420.07909 \tabularnewline
0.3111 (3.2143) & 3182528542.44348 \tabularnewline
0.3222 (3.1034) & 2844867379.69983 \tabularnewline
0.3333 (3) & 13956704275.5933 \tabularnewline
0.3444 (2.9032) & 50750671523.1637 \tabularnewline
0.3556 (2.8125) & 19542416753.4796 \tabularnewline
0.3667 (2.7273) & 2712317296.37574 \tabularnewline
0.3778 (2.6471) & 509387882.100323 \tabularnewline
0.3889 (2.5714) & 14203383418.0828 \tabularnewline
0.4 (2.5) & 9542229685.05174 \tabularnewline
0.4111 (2.4324) & 10881210362.2868 \tabularnewline
0.4222 (2.3684) & 21824479568.9922 \tabularnewline
0.4333 (2.3077) & 28386373991.5053 \tabularnewline
0.4444 (2.25) & 546219568.030057 \tabularnewline
0.4556 (2.1951) & 1768334692.57745 \tabularnewline
0.4667 (2.1429) & 2200094165.24507 \tabularnewline
0.4778 (2.093) & 9590212835.92243 \tabularnewline
0.4889 (2.0455) & 199282895.679413 \tabularnewline
0.5 (2) & 18980801998.5125 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112478&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]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]40846297.455938[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]4331805.888877[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]9862408.852892[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]29074100.706261[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]6920222.740235[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]60831921.226049[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]697825033.203849[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]362587019.529293[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]68954645.22197[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]111246098.212361[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]12858845.849393[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]175024593.703982[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]236170747.559941[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]212262892.693116[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]3755647949.22178[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]103478148.496045[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]215070620.527457[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]511546871.800954[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]33732641.758278[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]110637996.466624[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]137135674.121653[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]5309037972.88199[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]1449321375.83337[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]2456747161.41363[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]1104000165.76855[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]1556974951.30091[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1313835420.07909[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]3182528542.44348[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]2844867379.69983[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]13956704275.5933[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]50750671523.1637[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]19542416753.4796[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]2712317296.37574[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]509387882.100323[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]14203383418.0828[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]9542229685.05174[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]10881210362.2868[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]21824479568.9922[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]28386373991.5053[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]546219568.030057[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]1768334692.57745[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]2200094165.24507[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]9590212835.92243[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]199282895.679413[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]18980801998.5125[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112478&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112478&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)1
Frequency (Period)Spectrum
0.0111 (90)40846297.455938
0.0222 (45)4331805.888877
0.0333 (30)9862408.852892
0.0444 (22.5)29074100.706261
0.0556 (18)6920222.740235
0.0667 (15)60831921.226049
0.0778 (12.8571)697825033.203849
0.0889 (11.25)362587019.529293
0.1 (10)68954645.22197
0.1111 (9)111246098.212361
0.1222 (8.1818)12858845.849393
0.1333 (7.5)175024593.703982
0.1444 (6.9231)236170747.559941
0.1556 (6.4286)212262892.693116
0.1667 (6)3755647949.22178
0.1778 (5.625)103478148.496045
0.1889 (5.2941)215070620.527457
0.2 (5)511546871.800954
0.2111 (4.7368)33732641.758278
0.2222 (4.5)110637996.466624
0.2333 (4.2857)137135674.121653
0.2444 (4.0909)5309037972.88199
0.2556 (3.913)1449321375.83337
0.2667 (3.75)2456747161.41363
0.2778 (3.6)1104000165.76855
0.2889 (3.4615)1556974951.30091
0.3 (3.3333)1313835420.07909
0.3111 (3.2143)3182528542.44348
0.3222 (3.1034)2844867379.69983
0.3333 (3)13956704275.5933
0.3444 (2.9032)50750671523.1637
0.3556 (2.8125)19542416753.4796
0.3667 (2.7273)2712317296.37574
0.3778 (2.6471)509387882.100323
0.3889 (2.5714)14203383418.0828
0.4 (2.5)9542229685.05174
0.4111 (2.4324)10881210362.2868
0.4222 (2.3684)21824479568.9922
0.4333 (2.3077)28386373991.5053
0.4444 (2.25)546219568.030057
0.4556 (2.1951)1768334692.57745
0.4667 (2.1429)2200094165.24507
0.4778 (2.093)9590212835.92243
0.4889 (2.0455)199282895.679413
0.5 (2)18980801998.5125


Figures (Output of Computation)

Input Parameters & R Code

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