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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationWed, 10 Dec 2008 07:08:07 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/10/t1228918114rtjpd79n4z04wiy.htm/, Retrieved Sun, 19 May 2024 05:39:54 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=31965, Retrieved Sun, 19 May 2024 05:39:54 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact153
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [SA] [2008-12-10 14:08:07] [5f3e73ccf1ddc75508eed47fa51813d3] [Current]
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Dataseries X:
632
1270
1211
1469
2570
2765
2487
3644
2501
1629
987
1100
690
1378
1376
1736
2800
2671
2508
3590
2691
1629
1020
1224
787
1424
1232
2021
2782
2682
3284
3194
2736
1701
1089
1240
799
1163
1180
1960
2914
2658
3254
3222
2987
1604
1032
1283
774
1109
1453
1849
2800
3310
3060
3422
3448
1670
1022
1391
767
1172
1498
1623
2646
3439




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31965&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31965&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31965&T=0

As an alternative you can also use a 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 time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001







Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)0.2
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0185 (54)0.179002
0.037 (27)0.210672
0.0556 (18)0.009203
0.0741 (13.5)0.138182
0.0926 (10.8)0.054051
0.1111 (9)0.146775
0.1296 (7.7143)0.009921
0.1481 (6.75)0.146505
0.1667 (6)0.017741
0.1852 (5.4)0.13379
0.2037 (4.9091)0.186486
0.2222 (4.5)0.073543
0.2407 (4.1538)0.0889
0.2593 (3.8571)0.067592
0.2778 (3.6)0.007115
0.2963 (3.375)0.285879
0.3148 (3.1765)0.396958
0.3333 (3)0.325026
0.3519 (2.8421)1.005013
0.3704 (2.7)0.000723
0.3889 (2.5714)0.303952
0.4074 (2.4545)0.115117
0.4259 (2.3478)0.165
0.4444 (2.25)0.07472
0.463 (2.16)0.085362
0.4815 (2.0769)0.165042
0.5 (2)0.129178

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 0.2 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0185 (54) & 0.179002 \tabularnewline
0.037 (27) & 0.210672 \tabularnewline
0.0556 (18) & 0.009203 \tabularnewline
0.0741 (13.5) & 0.138182 \tabularnewline
0.0926 (10.8) & 0.054051 \tabularnewline
0.1111 (9) & 0.146775 \tabularnewline
0.1296 (7.7143) & 0.009921 \tabularnewline
0.1481 (6.75) & 0.146505 \tabularnewline
0.1667 (6) & 0.017741 \tabularnewline
0.1852 (5.4) & 0.13379 \tabularnewline
0.2037 (4.9091) & 0.186486 \tabularnewline
0.2222 (4.5) & 0.073543 \tabularnewline
0.2407 (4.1538) & 0.0889 \tabularnewline
0.2593 (3.8571) & 0.067592 \tabularnewline
0.2778 (3.6) & 0.007115 \tabularnewline
0.2963 (3.375) & 0.285879 \tabularnewline
0.3148 (3.1765) & 0.396958 \tabularnewline
0.3333 (3) & 0.325026 \tabularnewline
0.3519 (2.8421) & 1.005013 \tabularnewline
0.3704 (2.7) & 0.000723 \tabularnewline
0.3889 (2.5714) & 0.303952 \tabularnewline
0.4074 (2.4545) & 0.115117 \tabularnewline
0.4259 (2.3478) & 0.165 \tabularnewline
0.4444 (2.25) & 0.07472 \tabularnewline
0.463 (2.16) & 0.085362 \tabularnewline
0.4815 (2.0769) & 0.165042 \tabularnewline
0.5 (2) & 0.129178 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=31965&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]0.2[/C][/ROW]
[ROW][C]Degree of non-seasonal differencing (d)[/C][C]0[/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]0.0185 (54)[/C][C]0.179002[/C][/ROW]
[ROW][C]0.037 (27)[/C][C]0.210672[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]0.009203[/C][/ROW]
[ROW][C]0.0741 (13.5)[/C][C]0.138182[/C][/ROW]
[ROW][C]0.0926 (10.8)[/C][C]0.054051[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]0.146775[/C][/ROW]
[ROW][C]0.1296 (7.7143)[/C][C]0.009921[/C][/ROW]
[ROW][C]0.1481 (6.75)[/C][C]0.146505[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]0.017741[/C][/ROW]
[ROW][C]0.1852 (5.4)[/C][C]0.13379[/C][/ROW]
[ROW][C]0.2037 (4.9091)[/C][C]0.186486[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]0.073543[/C][/ROW]
[ROW][C]0.2407 (4.1538)[/C][C]0.0889[/C][/ROW]
[ROW][C]0.2593 (3.8571)[/C][C]0.067592[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]0.007115[/C][/ROW]
[ROW][C]0.2963 (3.375)[/C][C]0.285879[/C][/ROW]
[ROW][C]0.3148 (3.1765)[/C][C]0.396958[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0.325026[/C][/ROW]
[ROW][C]0.3519 (2.8421)[/C][C]1.005013[/C][/ROW]
[ROW][C]0.3704 (2.7)[/C][C]0.000723[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]0.303952[/C][/ROW]
[ROW][C]0.4074 (2.4545)[/C][C]0.115117[/C][/ROW]
[ROW][C]0.4259 (2.3478)[/C][C]0.165[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]0.07472[/C][/ROW]
[ROW][C]0.463 (2.16)[/C][C]0.085362[/C][/ROW]
[ROW][C]0.4815 (2.0769)[/C][C]0.165042[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.129178[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=31965&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=31965&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)0.2
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0185 (54)0.179002
0.037 (27)0.210672
0.0556 (18)0.009203
0.0741 (13.5)0.138182
0.0926 (10.8)0.054051
0.1111 (9)0.146775
0.1296 (7.7143)0.009921
0.1481 (6.75)0.146505
0.1667 (6)0.017741
0.1852 (5.4)0.13379
0.2037 (4.9091)0.186486
0.2222 (4.5)0.073543
0.2407 (4.1538)0.0889
0.2593 (3.8571)0.067592
0.2778 (3.6)0.007115
0.2963 (3.375)0.285879
0.3148 (3.1765)0.396958
0.3333 (3)0.325026
0.3519 (2.8421)1.005013
0.3704 (2.7)0.000723
0.3889 (2.5714)0.303952
0.4074 (2.4545)0.115117
0.4259 (2.3478)0.165
0.4444 (2.25)0.07472
0.463 (2.16)0.085362
0.4815 (2.0769)0.165042
0.5 (2)0.129178



Parameters (Session):
par1 = 0.2 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 0.2 ; par2 = 0 ; 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')