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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 23:14:09 +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/t1291677797w0otfrx502zyob8.htm/, Retrieved Fri, 03 May 2024 15:06:08 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=105971, Retrieved Fri, 03 May 2024 15:06:08 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158

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] [278a0539dc236556c5f30b5bc56ff9eb] [Current]
-    D        [Spectral Analysis] [CP2] [2010-12-06 23:46:12] [b8e188bcc949964bed729335b3416734]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
300
302
400
392
373
379
303
324
353
392
327
376
329
359
413
338
422
390
370
367
406
418
346
350
330
318
382
337
372
422
428
426
396
458
315
337
386
352
383
439
397
453
363
365
474
373
403
384
364
361
419
352
363
410
361
383
342
369
361
317
386
318
407
393
404
498
438

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105971&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105971&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105971&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'Gwilym Jenkins' @ 72.249.127.135






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)2812.914692
0.0278 (36)2382.279902
0.0417 (24)2116.641562
0.0556 (18)1609.809281
0.0694 (14.4)1781.241179
0.0833 (12)5792.190243
0.0972 (10.2857)2453.111626
0.1111 (9)2088.647045
0.125 (8)691.326212
0.1389 (7.2)638.984709
0.1528 (6.5455)20.478985
0.1667 (6)2564.98444
0.1806 (5.5385)609.450657
0.1944 (5.1429)410.701058
0.2083 (4.8)183.416034
0.2222 (4.5)996.233985
0.2361 (4.2353)347.403131
0.25 (4)1645.862814
0.2639 (3.7895)473.29224
0.2778 (3.6)316.095917
0.2917 (3.4286)1027.967608
0.3056 (3.2727)1075.516895
0.3194 (3.1304)384.14132
0.3333 (3)4083.115056
0.3472 (2.88)283.543431
0.3611 (2.7692)3161.047196
0.375 (2.6667)1598.244272
0.3889 (2.5714)1928.018612
0.4028 (2.4828)1614.109453
0.4167 (2.4)2824.342478
0.4306 (2.3226)2341.549366
0.4444 (2.25)495.079878
0.4583 (2.1818)1468.386578
0.4722 (2.1176)972.83179
0.4861 (2.0571)321.553461
0.5 (2)5.066695

\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) & 2812.914692 \tabularnewline
0.0278 (36) & 2382.279902 \tabularnewline
0.0417 (24) & 2116.641562 \tabularnewline
0.0556 (18) & 1609.809281 \tabularnewline
0.0694 (14.4) & 1781.241179 \tabularnewline
0.0833 (12) & 5792.190243 \tabularnewline
0.0972 (10.2857) & 2453.111626 \tabularnewline
0.1111 (9) & 2088.647045 \tabularnewline
0.125 (8) & 691.326212 \tabularnewline
0.1389 (7.2) & 638.984709 \tabularnewline
0.1528 (6.5455) & 20.478985 \tabularnewline
0.1667 (6) & 2564.98444 \tabularnewline
0.1806 (5.5385) & 609.450657 \tabularnewline
0.1944 (5.1429) & 410.701058 \tabularnewline
0.2083 (4.8) & 183.416034 \tabularnewline
0.2222 (4.5) & 996.233985 \tabularnewline
0.2361 (4.2353) & 347.403131 \tabularnewline
0.25 (4) & 1645.862814 \tabularnewline
0.2639 (3.7895) & 473.29224 \tabularnewline
0.2778 (3.6) & 316.095917 \tabularnewline
0.2917 (3.4286) & 1027.967608 \tabularnewline
0.3056 (3.2727) & 1075.516895 \tabularnewline
0.3194 (3.1304) & 384.14132 \tabularnewline
0.3333 (3) & 4083.115056 \tabularnewline
0.3472 (2.88) & 283.543431 \tabularnewline
0.3611 (2.7692) & 3161.047196 \tabularnewline
0.375 (2.6667) & 1598.244272 \tabularnewline
0.3889 (2.5714) & 1928.018612 \tabularnewline
0.4028 (2.4828) & 1614.109453 \tabularnewline
0.4167 (2.4) & 2824.342478 \tabularnewline
0.4306 (2.3226) & 2341.549366 \tabularnewline
0.4444 (2.25) & 495.079878 \tabularnewline
0.4583 (2.1818) & 1468.386578 \tabularnewline
0.4722 (2.1176) & 972.83179 \tabularnewline
0.4861 (2.0571) & 321.553461 \tabularnewline
0.5 (2) & 5.066695 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=105971&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]2812.914692[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]2382.279902[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]2116.641562[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]1609.809281[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]1781.241179[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]5792.190243[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]2453.111626[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]2088.647045[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]691.326212[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]638.984709[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]20.478985[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]2564.98444[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]609.450657[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]410.701058[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]183.416034[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]996.233985[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]347.403131[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1645.862814[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]473.29224[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]316.095917[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]1027.967608[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]1075.516895[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]384.14132[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]4083.115056[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]283.543431[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]3161.047196[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]1598.244272[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]1928.018612[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]1614.109453[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2824.342478[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]2341.549366[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]495.079878[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]1468.386578[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]972.83179[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]321.553461[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]5.066695[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=105971&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=105971&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)2812.914692
0.0278 (36)2382.279902
0.0417 (24)2116.641562
0.0556 (18)1609.809281
0.0694 (14.4)1781.241179
0.0833 (12)5792.190243
0.0972 (10.2857)2453.111626
0.1111 (9)2088.647045
0.125 (8)691.326212
0.1389 (7.2)638.984709
0.1528 (6.5455)20.478985
0.1667 (6)2564.98444
0.1806 (5.5385)609.450657
0.1944 (5.1429)410.701058
0.2083 (4.8)183.416034
0.2222 (4.5)996.233985
0.2361 (4.2353)347.403131
0.25 (4)1645.862814
0.2639 (3.7895)473.29224
0.2778 (3.6)316.095917
0.2917 (3.4286)1027.967608
0.3056 (3.2727)1075.516895
0.3194 (3.1304)384.14132
0.3333 (3)4083.115056
0.3472 (2.88)283.543431
0.3611 (2.7692)3161.047196
0.375 (2.6667)1598.244272
0.3889 (2.5714)1928.018612
0.4028 (2.4828)1614.109453
0.4167 (2.4)2824.342478
0.4306 (2.3226)2341.549366
0.4444 (2.25)495.079878
0.4583 (2.1818)1468.386578
0.4722 (2.1176)972.83179
0.4861 (2.0571)321.553461
0.5 (2)5.066695


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')