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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 computationMon, 06 Dec 2010 23:46:12 +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/07/t1291679047w0bmbwj8xttffcb.htm/, Retrieved Fri, 03 May 2024 20:27:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105980, Retrieved Fri, 03 May 2024 20:27:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact149

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] [CP1] [2010-12-06 23:14:09] [b8e188bcc949964bed729335b3416734]
-    D        [Spectral Analysis] [CP2] [2010-12-06 23:46:12] [278a0539dc236556c5f30b5bc56ff9eb] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
431
465
511
540
552
512
413
542
544
491
458
529
525
483
528
502
563
537
465
528
505
493
456
488
488
468
542
499
477
534
528
598
474
537
376
447
545
425
458
510
472
541
507
472
540
496
432
452
420
435
509
441
416
490
396
463
403
448
398
387
426
428
510
437
453
451
434

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'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 & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105980&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105980&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105980&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'George Udny Yule' @ 72.249.76.132






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)12
Frequency (Period)Spectrum
0.0139 (72)3293.30471
0.0278 (36)1250.762307
0.0417 (24)1304.055157
0.0556 (18)1712.81116
0.0694 (14.4)2721.454065
0.0833 (12)6103.167971
0.0972 (10.2857)2151.90271
0.1111 (9)70.489112
0.125 (8)143.4877
0.1389 (7.2)310.203969
0.1528 (6.5455)1790.238151
0.1667 (6)2202.797818
0.1806 (5.5385)385.751905
0.1944 (5.1429)1159.896606
0.2083 (4.8)2095.755077
0.2222 (4.5)2954.88325
0.2361 (4.2353)2212.685199
0.25 (4)2073.762894
0.2639 (3.7895)1685.113673
0.2778 (3.6)1428.091196
0.2917 (3.4286)400.714874
0.3056 (3.2727)1126.34038
0.3194 (3.1304)2159.544471
0.3333 (3)3393.057681
0.3472 (2.88)2945.774395
0.3611 (2.7692)3513.960268
0.375 (2.6667)1987.998088
0.3889 (2.5714)856.072881
0.4028 (2.4828)598.807493
0.4167 (2.4)8217.536457
0.4306 (2.3226)62.926649
0.4444 (2.25)754.72203
0.4583 (2.1818)2802.784544
0.4722 (2.1176)10.726953
0.4861 (2.0571)369.949776
0.5 (2)2085.221013

\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) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0139 (72) & 3293.30471 \tabularnewline
0.0278 (36) & 1250.762307 \tabularnewline
0.0417 (24) & 1304.055157 \tabularnewline
0.0556 (18) & 1712.81116 \tabularnewline
0.0694 (14.4) & 2721.454065 \tabularnewline
0.0833 (12) & 6103.167971 \tabularnewline
0.0972 (10.2857) & 2151.90271 \tabularnewline
0.1111 (9) & 70.489112 \tabularnewline
0.125 (8) & 143.4877 \tabularnewline
0.1389 (7.2) & 310.203969 \tabularnewline
0.1528 (6.5455) & 1790.238151 \tabularnewline
0.1667 (6) & 2202.797818 \tabularnewline
0.1806 (5.5385) & 385.751905 \tabularnewline
0.1944 (5.1429) & 1159.896606 \tabularnewline
0.2083 (4.8) & 2095.755077 \tabularnewline
0.2222 (4.5) & 2954.88325 \tabularnewline
0.2361 (4.2353) & 2212.685199 \tabularnewline
0.25 (4) & 2073.762894 \tabularnewline
0.2639 (3.7895) & 1685.113673 \tabularnewline
0.2778 (3.6) & 1428.091196 \tabularnewline
0.2917 (3.4286) & 400.714874 \tabularnewline
0.3056 (3.2727) & 1126.34038 \tabularnewline
0.3194 (3.1304) & 2159.544471 \tabularnewline
0.3333 (3) & 3393.057681 \tabularnewline
0.3472 (2.88) & 2945.774395 \tabularnewline
0.3611 (2.7692) & 3513.960268 \tabularnewline
0.375 (2.6667) & 1987.998088 \tabularnewline
0.3889 (2.5714) & 856.072881 \tabularnewline
0.4028 (2.4828) & 598.807493 \tabularnewline
0.4167 (2.4) & 8217.536457 \tabularnewline
0.4306 (2.3226) & 62.926649 \tabularnewline
0.4444 (2.25) & 754.72203 \tabularnewline
0.4583 (2.1818) & 2802.784544 \tabularnewline
0.4722 (2.1176) & 10.726953 \tabularnewline
0.4861 (2.0571) & 369.949776 \tabularnewline
0.5 (2) & 2085.221013 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105980&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]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]3293.30471[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]1250.762307[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]1304.055157[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]1712.81116[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]2721.454065[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]6103.167971[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]2151.90271[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]70.489112[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]143.4877[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]310.203969[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]1790.238151[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]2202.797818[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]385.751905[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]1159.896606[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]2095.755077[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]2954.88325[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]2212.685199[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]2073.762894[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]1685.113673[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]1428.091196[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]400.714874[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]1126.34038[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]2159.544471[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]3393.057681[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]2945.774395[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]3513.960268[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]1987.998088[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]856.072881[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]598.807493[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]8217.536457[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]62.926649[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]754.72203[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]2802.784544[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]10.726953[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]369.949776[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2085.221013[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105980&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105980&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)3293.30471
0.0278 (36)1250.762307
0.0417 (24)1304.055157
0.0556 (18)1712.81116
0.0694 (14.4)2721.454065
0.0833 (12)6103.167971
0.0972 (10.2857)2151.90271
0.1111 (9)70.489112
0.125 (8)143.4877
0.1389 (7.2)310.203969
0.1528 (6.5455)1790.238151
0.1667 (6)2202.797818
0.1806 (5.5385)385.751905
0.1944 (5.1429)1159.896606
0.2083 (4.8)2095.755077
0.2222 (4.5)2954.88325
0.2361 (4.2353)2212.685199
0.25 (4)2073.762894
0.2639 (3.7895)1685.113673
0.2778 (3.6)1428.091196
0.2917 (3.4286)400.714874
0.3056 (3.2727)1126.34038
0.3194 (3.1304)2159.544471
0.3333 (3)3393.057681
0.3472 (2.88)2945.774395
0.3611 (2.7692)3513.960268
0.375 (2.6667)1987.998088
0.3889 (2.5714)856.072881
0.4028 (2.4828)598.807493
0.4167 (2.4)8217.536457
0.4306 (2.3226)62.926649
0.4444 (2.25)754.72203
0.4583 (2.1818)2802.784544
0.4722 (2.1176)10.726953
0.4861 (2.0571)369.949776
0.5 (2)2085.221013


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; 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')