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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, 01 Dec 2011 15:13:31 -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/2011/Dec/01/t1322770453wvg81ep4y91jfrs.htm/, Retrieved Thu, 25 Apr 2024 20:02:14 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=149987, Retrieved Thu, 25 Apr 2024 20:02:14 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact125

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [] [2011-12-01 19:58:02] [ee8c3a74bf3b349877806e9a50913c60]
- R P   [(Partial) Autocorrelation Function] [] [2011-12-01 20:01:46] [ee8c3a74bf3b349877806e9a50913c60]
- RMP       [Spectral Analysis] [] [2011-12-01 20:13:31] [7dc03dd48c8acabd98b217fada4a6bc0] [Current]
-   PD        [Spectral Analysis] [] [2011-12-01 21:22:24] [ee8c3a74bf3b349877806e9a50913c60]
- RMP         [Standard Deviation-Mean Plot] [] [2011-12-01 21:39:37] [ee8c3a74bf3b349877806e9a50913c60]
- R P         [Spectral Analysis] [verbetering] [2011-12-12 18:17:40] [25b6caf3839c2bdc14961e5bff2d6373]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
274
291
280
258
252
251
224
225
234
233
229
208
224
226
223
205
201
202
183
188
200
206
211
201
299
244
251
241
244
252
234
246
265
277
287
275
320
338
342
322
323
343
315
334
359
362
378
345
422
430
443
431
425
432
387
396
411
421
424
410
464
486
490
459
454
446
406
412
428
429
425
396
429
439
424
379
370
353
322
322
338
348
350
312
358
378
352
312
310
292
276
269
286
292
288
255
304
299
293
275
272
264
234
231
263
264
264
245
297
317
318
315
312
310
306
313
350
354
371
357
419
425
424
399
393
378
371
364
384
377
383
352

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'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149987&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149987&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149987&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'Herman Ole Andreas Wold' @ wold.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
0.0083 (120)919.682143
0.0167 (60)555.900344
0.025 (40)82.972373
0.0333 (30)473.941439
0.0417 (24)209.891362
0.05 (20)65.766084
0.0583 (17.1429)152.532559
0.0667 (15)85.980968
0.075 (13.3333)68.356376
0.0833 (12)42.343239
0.0917 (10.9091)44.675597
0.1 (10)304.564907
0.1083 (9.2308)149.556056
0.1167 (8.5714)247.299505
0.125 (8)3.013041
0.1333 (7.5)120.365192
0.1417 (7.0588)93.294953
0.15 (6.6667)94.353868
0.1583 (6.3158)114.839288
0.1667 (6)18.279317
0.175 (5.7143)16.062225
0.1833 (5.4545)215.30084
0.1917 (5.2174)60.28331
0.2 (5)296.509293
0.2083 (4.8)739.933394
0.2167 (4.6154)117.105922
0.225 (4.4444)317.40072
0.2333 (4.2857)74.090381
0.2417 (4.1379)177.558099
0.25 (4)8.188419
0.2583 (3.871)49.033748
0.2667 (3.75)24.978695
0.275 (3.6364)576.994118
0.2833 (3.5294)345.911264
0.2917 (3.4286)677.009448
0.3 (3.3333)736.320242
0.3083 (3.2432)260.863454
0.3167 (3.1579)122.730713
0.325 (3.0769)93.535851
0.3333 (3)15.398843
0.3417 (2.9268)145.526846
0.35 (2.8571)306.174985
0.3583 (2.7907)745.832895
0.3667 (2.7273)898.337007
0.375 (2.6667)1515.26475
0.3833 (2.6087)140.189865
0.3917 (2.5532)202.580357
0.4 (2.5)373.996348
0.4083 (2.449)160.232439
0.4167 (2.4)6.020172
0.425 (2.3529)272.738486
0.4333 (2.3077)11.104313
0.4417 (2.2642)401.919012
0.45 (2.2222)1052.969355
0.4583 (2.1818)2252.248134
0.4667 (2.1429)453.811208
0.475 (2.1053)74.174548
0.4833 (2.069)307.866441
0.4917 (2.0339)112.287018
0.5 (2)115.891786

\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
0.0083 (120) & 919.682143 \tabularnewline
0.0167 (60) & 555.900344 \tabularnewline
0.025 (40) & 82.972373 \tabularnewline
0.0333 (30) & 473.941439 \tabularnewline
0.0417 (24) & 209.891362 \tabularnewline
0.05 (20) & 65.766084 \tabularnewline
0.0583 (17.1429) & 152.532559 \tabularnewline
0.0667 (15) & 85.980968 \tabularnewline
0.075 (13.3333) & 68.356376 \tabularnewline
0.0833 (12) & 42.343239 \tabularnewline
0.0917 (10.9091) & 44.675597 \tabularnewline
0.1 (10) & 304.564907 \tabularnewline
0.1083 (9.2308) & 149.556056 \tabularnewline
0.1167 (8.5714) & 247.299505 \tabularnewline
0.125 (8) & 3.013041 \tabularnewline
0.1333 (7.5) & 120.365192 \tabularnewline
0.1417 (7.0588) & 93.294953 \tabularnewline
0.15 (6.6667) & 94.353868 \tabularnewline
0.1583 (6.3158) & 114.839288 \tabularnewline
0.1667 (6) & 18.279317 \tabularnewline
0.175 (5.7143) & 16.062225 \tabularnewline
0.1833 (5.4545) & 215.30084 \tabularnewline
0.1917 (5.2174) & 60.28331 \tabularnewline
0.2 (5) & 296.509293 \tabularnewline
0.2083 (4.8) & 739.933394 \tabularnewline
0.2167 (4.6154) & 117.105922 \tabularnewline
0.225 (4.4444) & 317.40072 \tabularnewline
0.2333 (4.2857) & 74.090381 \tabularnewline
0.2417 (4.1379) & 177.558099 \tabularnewline
0.25 (4) & 8.188419 \tabularnewline
0.2583 (3.871) & 49.033748 \tabularnewline
0.2667 (3.75) & 24.978695 \tabularnewline
0.275 (3.6364) & 576.994118 \tabularnewline
0.2833 (3.5294) & 345.911264 \tabularnewline
0.2917 (3.4286) & 677.009448 \tabularnewline
0.3 (3.3333) & 736.320242 \tabularnewline
0.3083 (3.2432) & 260.863454 \tabularnewline
0.3167 (3.1579) & 122.730713 \tabularnewline
0.325 (3.0769) & 93.535851 \tabularnewline
0.3333 (3) & 15.398843 \tabularnewline
0.3417 (2.9268) & 145.526846 \tabularnewline
0.35 (2.8571) & 306.174985 \tabularnewline
0.3583 (2.7907) & 745.832895 \tabularnewline
0.3667 (2.7273) & 898.337007 \tabularnewline
0.375 (2.6667) & 1515.26475 \tabularnewline
0.3833 (2.6087) & 140.189865 \tabularnewline
0.3917 (2.5532) & 202.580357 \tabularnewline
0.4 (2.5) & 373.996348 \tabularnewline
0.4083 (2.449) & 160.232439 \tabularnewline
0.4167 (2.4) & 6.020172 \tabularnewline
0.425 (2.3529) & 272.738486 \tabularnewline
0.4333 (2.3077) & 11.104313 \tabularnewline
0.4417 (2.2642) & 401.919012 \tabularnewline
0.45 (2.2222) & 1052.969355 \tabularnewline
0.4583 (2.1818) & 2252.248134 \tabularnewline
0.4667 (2.1429) & 453.811208 \tabularnewline
0.475 (2.1053) & 74.174548 \tabularnewline
0.4833 (2.069) & 307.866441 \tabularnewline
0.4917 (2.0339) & 112.287018 \tabularnewline
0.5 (2) & 115.891786 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=149987&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]0.0083 (120)[/C][C]919.682143[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]555.900344[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]82.972373[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]473.941439[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]209.891362[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]65.766084[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]152.532559[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]85.980968[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]68.356376[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]42.343239[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]44.675597[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]304.564907[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]149.556056[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]247.299505[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]3.013041[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]120.365192[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]93.294953[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]94.353868[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]114.839288[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]18.279317[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]16.062225[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]215.30084[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]60.28331[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]296.509293[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]739.933394[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]117.105922[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]317.40072[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]74.090381[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]177.558099[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]8.188419[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]49.033748[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]24.978695[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]576.994118[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]345.911264[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]677.009448[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]736.320242[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]260.863454[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]122.730713[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]93.535851[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]15.398843[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]145.526846[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]306.174985[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]745.832895[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]898.337007[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]1515.26475[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]140.189865[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]202.580357[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]373.996348[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]160.232439[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]6.020172[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]272.738486[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]11.104313[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]401.919012[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]1052.969355[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]2252.248134[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]453.811208[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]74.174548[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]307.866441[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]112.287018[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]115.891786[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=149987&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=149987&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
0.0083 (120)919.682143
0.0167 (60)555.900344
0.025 (40)82.972373
0.0333 (30)473.941439
0.0417 (24)209.891362
0.05 (20)65.766084
0.0583 (17.1429)152.532559
0.0667 (15)85.980968
0.075 (13.3333)68.356376
0.0833 (12)42.343239
0.0917 (10.9091)44.675597
0.1 (10)304.564907
0.1083 (9.2308)149.556056
0.1167 (8.5714)247.299505
0.125 (8)3.013041
0.1333 (7.5)120.365192
0.1417 (7.0588)93.294953
0.15 (6.6667)94.353868
0.1583 (6.3158)114.839288
0.1667 (6)18.279317
0.175 (5.7143)16.062225
0.1833 (5.4545)215.30084
0.1917 (5.2174)60.28331
0.2 (5)296.509293
0.2083 (4.8)739.933394
0.2167 (4.6154)117.105922
0.225 (4.4444)317.40072
0.2333 (4.2857)74.090381
0.2417 (4.1379)177.558099
0.25 (4)8.188419
0.2583 (3.871)49.033748
0.2667 (3.75)24.978695
0.275 (3.6364)576.994118
0.2833 (3.5294)345.911264
0.2917 (3.4286)677.009448
0.3 (3.3333)736.320242
0.3083 (3.2432)260.863454
0.3167 (3.1579)122.730713
0.325 (3.0769)93.535851
0.3333 (3)15.398843
0.3417 (2.9268)145.526846
0.35 (2.8571)306.174985
0.3583 (2.7907)745.832895
0.3667 (2.7273)898.337007
0.375 (2.6667)1515.26475
0.3833 (2.6087)140.189865
0.3917 (2.5532)202.580357
0.4 (2.5)373.996348
0.4083 (2.449)160.232439
0.4167 (2.4)6.020172
0.425 (2.3529)272.738486
0.4333 (2.3077)11.104313
0.4417 (2.2642)401.919012
0.45 (2.2222)1052.969355
0.4583 (2.1818)2252.248134
0.4667 (2.1429)453.811208
0.475 (2.1053)74.174548
0.4833 (2.069)307.866441
0.4917 (2.0339)112.287018
0.5 (2)115.891786


Figures (Output of Computation)

Input Parameters & R Code

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