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 computationTue, 14 Dec 2010 09:27:52 +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/14/t1292318900qjqq2ncviq3ejyc.htm/, Retrieved Thu, 02 May 2024 22:02:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109309, Retrieved Thu, 02 May 2024 22:02:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact164

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] [Faillissementen V...] [2010-12-14 08:51:21] [13c73ac943380855a1c72833078e44d2]
-   P   [(Partial) Autocorrelation Function] [Faillissementen V...] [2010-12-14 09:09:28] [13c73ac943380855a1c72833078e44d2]
- RMP       [Spectral Analysis] [Faillissementen V...] [2010-12-14 09:27:52] [8e16b01a5be2b3f7f3ad6418d9d6fd5b] [Current]
-   P         [Spectral Analysis] [Faillissementen V...] [2010-12-14 09:35:08] [13c73ac943380855a1c72833078e44d2]
- RMP         [Standard Deviation-Mean Plot] [Faillissementen V...] [2010-12-14 09:42:21] [13c73ac943380855a1c72833078e44d2]
- RMP         [ARIMA Backward Selection] [Faillissementen V...] [2010-12-14 09:52:00] [13c73ac943380855a1c72833078e44d2]
- RMP         [ARIMA Forecasting] [Faillissementen V...] [2010-12-14 10:04:12] [13c73ac943380855a1c72833078e44d2]
- RMPD        [(Partial) Autocorrelation Function] [Faillissementen W...] [2010-12-14 10:11:32] [049b50ae610f671f7417ed8e2d1295c1]
-               [(Partial) Autocorrelation Function] [Faillissementen W...] [2010-12-14 10:14:14] [049b50ae610f671f7417ed8e2d1295c1]
- RM            [Spectral Analysis] [Faillissementen W...] [2010-12-14 10:17:19] [049b50ae610f671f7417ed8e2d1295c1]
-                 [Spectral Analysis] [Faillissementen W...] [2010-12-14 10:20:03] [049b50ae610f671f7417ed8e2d1295c1]
- RM              [Variance Reduction Matrix] [Faillissementen W...] [2010-12-14 10:23:17] [049b50ae610f671f7417ed8e2d1295c1]
- RM              [Standard Deviation-Mean Plot] [Faillissementen W...] [2010-12-14 10:34:22] [049b50ae610f671f7417ed8e2d1295c1]
- RM              [ARIMA Backward Selection] [Faillissementen W...] [2010-12-14 10:38:24] [049b50ae610f671f7417ed8e2d1295c1]
-   PD              [ARIMA Backward Selection] [] [2010-12-17 10:29:12] [13c73ac943380855a1c72833078e44d2]
- RM              [ARIMA Forecasting] [Faillissementen W...] [2010-12-14 10:41:25] [049b50ae610f671f7417ed8e2d1295c1]
- RM D            [(Partial) Autocorrelation Function] [Faillissementen B...] [2010-12-14 10:47:49] [3074aa973ede76ac75d398946b01602f]
-                   [(Partial) Autocorrelation Function] [Faillissementen B...] [2010-12-14 10:50:13] [3074aa973ede76ac75d398946b01602f]
-                   [(Partial) Autocorrelation Function] [Faillissementen B...] [2010-12-14 10:53:33] [3074aa973ede76ac75d398946b01602f]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
356
386
444
387
327
448
225
182
460
411
342
361
377
331
428
340
352
461
221
198
422
329
320
375
364
351
380
319
322
386
221
187
344
342
365
313
356
337
389
326
343
357
220
218
391
425
332
298
360
336
325
393
301
426
265
210
429
440
357
431
442
442
544
420
396
482
261
211
448
468
464
425

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=109309&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=109309&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109309&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)14858.478888
0.0278 (36)2509.079897
0.0417 (24)6206.887339
0.0556 (18)3952.251078
0.0694 (14.4)659.694072
0.0833 (12)29055.562226
0.0972 (10.2857)69.38131
0.1111 (9)2241.185623
0.125 (8)226.680296
0.1389 (7.2)746.890089
0.1528 (6.5455)573.70612
0.1667 (6)30069.044549
0.1806 (5.5385)172.361053
0.1944 (5.1429)1148.355439
0.2083 (4.8)433.302163
0.2222 (4.5)671.929656
0.2361 (4.2353)21.149393
0.25 (4)45143.773391
0.2639 (3.7895)325.22487
0.2778 (3.6)1240.54117
0.2917 (3.4286)95.266493
0.3056 (3.2727)121.684493
0.3194 (3.1304)782.31019
0.3333 (3)51856.410666
0.3472 (2.88)4850.400195
0.3611 (2.7692)3938.360062
0.375 (2.6667)2514.563643
0.3889 (2.5714)369.209704
0.4028 (2.4828)30.599894
0.4167 (2.4)7164.397255
0.4306 (2.3226)44.765138
0.4444 (2.25)77.784665
0.4583 (2.1818)1520.643716
0.4722 (2.1176)252.075822
0.4861 (2.0571)854.954771
0.5 (2)217.562217

\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) & 14858.478888 \tabularnewline
0.0278 (36) & 2509.079897 \tabularnewline
0.0417 (24) & 6206.887339 \tabularnewline
0.0556 (18) & 3952.251078 \tabularnewline
0.0694 (14.4) & 659.694072 \tabularnewline
0.0833 (12) & 29055.562226 \tabularnewline
0.0972 (10.2857) & 69.38131 \tabularnewline
0.1111 (9) & 2241.185623 \tabularnewline
0.125 (8) & 226.680296 \tabularnewline
0.1389 (7.2) & 746.890089 \tabularnewline
0.1528 (6.5455) & 573.70612 \tabularnewline
0.1667 (6) & 30069.044549 \tabularnewline
0.1806 (5.5385) & 172.361053 \tabularnewline
0.1944 (5.1429) & 1148.355439 \tabularnewline
0.2083 (4.8) & 433.302163 \tabularnewline
0.2222 (4.5) & 671.929656 \tabularnewline
0.2361 (4.2353) & 21.149393 \tabularnewline
0.25 (4) & 45143.773391 \tabularnewline
0.2639 (3.7895) & 325.22487 \tabularnewline
0.2778 (3.6) & 1240.54117 \tabularnewline
0.2917 (3.4286) & 95.266493 \tabularnewline
0.3056 (3.2727) & 121.684493 \tabularnewline
0.3194 (3.1304) & 782.31019 \tabularnewline
0.3333 (3) & 51856.410666 \tabularnewline
0.3472 (2.88) & 4850.400195 \tabularnewline
0.3611 (2.7692) & 3938.360062 \tabularnewline
0.375 (2.6667) & 2514.563643 \tabularnewline
0.3889 (2.5714) & 369.209704 \tabularnewline
0.4028 (2.4828) & 30.599894 \tabularnewline
0.4167 (2.4) & 7164.397255 \tabularnewline
0.4306 (2.3226) & 44.765138 \tabularnewline
0.4444 (2.25) & 77.784665 \tabularnewline
0.4583 (2.1818) & 1520.643716 \tabularnewline
0.4722 (2.1176) & 252.075822 \tabularnewline
0.4861 (2.0571) & 854.954771 \tabularnewline
0.5 (2) & 217.562217 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109309&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]14858.478888[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]2509.079897[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]6206.887339[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]3952.251078[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]659.694072[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]29055.562226[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]69.38131[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]2241.185623[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]226.680296[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]746.890089[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]573.70612[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]30069.044549[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]172.361053[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]1148.355439[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]433.302163[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]671.929656[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]21.149393[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]45143.773391[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]325.22487[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]1240.54117[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]95.266493[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]121.684493[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]782.31019[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]51856.410666[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]4850.400195[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]3938.360062[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]2514.563643[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]369.209704[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]30.599894[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]7164.397255[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]44.765138[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]77.784665[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]1520.643716[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]252.075822[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]854.954771[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]217.562217[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109309&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109309&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)14858.478888
0.0278 (36)2509.079897
0.0417 (24)6206.887339
0.0556 (18)3952.251078
0.0694 (14.4)659.694072
0.0833 (12)29055.562226
0.0972 (10.2857)69.38131
0.1111 (9)2241.185623
0.125 (8)226.680296
0.1389 (7.2)746.890089
0.1528 (6.5455)573.70612
0.1667 (6)30069.044549
0.1806 (5.5385)172.361053
0.1944 (5.1429)1148.355439
0.2083 (4.8)433.302163
0.2222 (4.5)671.929656
0.2361 (4.2353)21.149393
0.25 (4)45143.773391
0.2639 (3.7895)325.22487
0.2778 (3.6)1240.54117
0.2917 (3.4286)95.266493
0.3056 (3.2727)121.684493
0.3194 (3.1304)782.31019
0.3333 (3)51856.410666
0.3472 (2.88)4850.400195
0.3611 (2.7692)3938.360062
0.375 (2.6667)2514.563643
0.3889 (2.5714)369.209704
0.4028 (2.4828)30.599894
0.4167 (2.4)7164.397255
0.4306 (2.3226)44.765138
0.4444 (2.25)77.784665
0.4583 (2.1818)1520.643716
0.4722 (2.1176)252.075822
0.4861 (2.0571)854.954771
0.5 (2)217.562217


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')