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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 computationFri, 23 Dec 2016 17:20:50 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/23/t1482510074byx738lwpd2ajp7.htm/, Retrieved Fri, 01 Nov 2024 03:31:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302997, Retrieved Fri, 01 Nov 2024 03:31:39 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [Spectral] [2016-12-23 16:20:50] [7710172f758cdb0e378767d0d98d868b] [Current]
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Dataseries X:
3710
3480
4024
4154
4142
4122
4228
4122
3938
3976
3952
4072
3756
3378
4250
3888
4116
4216
4214
4320
4056
4104
3976
4258
3892
3628
4056
4022
4294
4282
4250
4418
3966
4184
4094
4074
3950
3700
4148
4192
4394
4216
4366
4512
3996
4292
4074
4228
4044
3634
4330
4282
4428
4346
4632
4634
4156
4512
4142
4442
4064
3818
4334
4404
4644
4542
4718
4568
4338
4544
4302
4506
4164
4096
4556
4472
4548
4710
4660
4702
4460
4524
4440
4566
4196
3996
4616
4312
4592
4684
4542
4810
4360
4540
4428
4606
4130
4034
4564
4286
4578
4530
4666
4852
4164
4494
4356
4338
4130
3840
4362
4296
4626
4490
4708
4686
4266
4528
4216
4488
4268
4052
4438
4354
4558
4494




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time0 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302997&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]0 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302997&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302997&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R ServerBig Analytics Cloud Computing Center







Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0083 (120)65613.455456
0.0167 (60)73002.667127
0.025 (40)665.911932
0.0333 (30)4072.403385
0.0417 (24)21116.678588
0.05 (20)17208.509173
0.0583 (17.1429)1389.840459
0.0667 (15)11216.753427
0.075 (13.3333)347.729345
0.0833 (12)259.434445
0.0917 (10.9091)1087.113902
0.1 (10)11648.746682
0.1083 (9.2308)16800.569814
0.1167 (8.5714)7543.303674
0.125 (8)12034.575654
0.1333 (7.5)3257.849357
0.1417 (7.0588)986.852068
0.15 (6.6667)1606.688905
0.1583 (6.3158)722.104253
0.1667 (6)778.708971
0.175 (5.7143)1088.507597
0.1833 (5.4545)489.186491
0.1917 (5.2174)9347.844754
0.2 (5)17632.355789
0.2083 (4.8)8678.276163
0.2167 (4.6154)23856.007075
0.225 (4.4444)12339.223654
0.2333 (4.2857)6238.886599
0.2417 (4.1379)5849.186499
0.25 (4)1243.126734
0.2583 (3.871)4170.884826
0.2667 (3.75)7994.121612
0.275 (3.6364)8885.400974
0.2833 (3.5294)2894.251349
0.2917 (3.4286)12128.516634
0.3 (3.3333)5310.179625
0.3083 (3.2432)13812.129099
0.3167 (3.1579)728.03892
0.325 (3.0769)7936.772929
0.3333 (3)4725.470592
0.3417 (2.9268)15776.641349
0.35 (2.8571)106042.577675
0.3583 (2.7907)21051.328334
0.3667 (2.7273)13709.787612
0.375 (2.6667)6175.449597
0.3833 (2.6087)4387.262263
0.3917 (2.5532)3224.210965
0.4 (2.5)481.75037
0.4083 (2.449)306.999342
0.4167 (2.4)1311.139451
0.425 (2.3529)3089.755284
0.4333 (2.3077)33261.380927
0.4417 (2.2642)47552.861101
0.45 (2.2222)10102.133742
0.4583 (2.1818)17317.402489
0.4667 (2.1429)5286.841527
0.475 (2.1053)9311.076367
0.4833 (2.069)7541.164128
0.4917 (2.0339)3632.924647
0.5 (2)1977.403408

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0083 (120) & 65613.455456 \tabularnewline
0.0167 (60) & 73002.667127 \tabularnewline
0.025 (40) & 665.911932 \tabularnewline
0.0333 (30) & 4072.403385 \tabularnewline
0.0417 (24) & 21116.678588 \tabularnewline
0.05 (20) & 17208.509173 \tabularnewline
0.0583 (17.1429) & 1389.840459 \tabularnewline
0.0667 (15) & 11216.753427 \tabularnewline
0.075 (13.3333) & 347.729345 \tabularnewline
0.0833 (12) & 259.434445 \tabularnewline
0.0917 (10.9091) & 1087.113902 \tabularnewline
0.1 (10) & 11648.746682 \tabularnewline
0.1083 (9.2308) & 16800.569814 \tabularnewline
0.1167 (8.5714) & 7543.303674 \tabularnewline
0.125 (8) & 12034.575654 \tabularnewline
0.1333 (7.5) & 3257.849357 \tabularnewline
0.1417 (7.0588) & 986.852068 \tabularnewline
0.15 (6.6667) & 1606.688905 \tabularnewline
0.1583 (6.3158) & 722.104253 \tabularnewline
0.1667 (6) & 778.708971 \tabularnewline
0.175 (5.7143) & 1088.507597 \tabularnewline
0.1833 (5.4545) & 489.186491 \tabularnewline
0.1917 (5.2174) & 9347.844754 \tabularnewline
0.2 (5) & 17632.355789 \tabularnewline
0.2083 (4.8) & 8678.276163 \tabularnewline
0.2167 (4.6154) & 23856.007075 \tabularnewline
0.225 (4.4444) & 12339.223654 \tabularnewline
0.2333 (4.2857) & 6238.886599 \tabularnewline
0.2417 (4.1379) & 5849.186499 \tabularnewline
0.25 (4) & 1243.126734 \tabularnewline
0.2583 (3.871) & 4170.884826 \tabularnewline
0.2667 (3.75) & 7994.121612 \tabularnewline
0.275 (3.6364) & 8885.400974 \tabularnewline
0.2833 (3.5294) & 2894.251349 \tabularnewline
0.2917 (3.4286) & 12128.516634 \tabularnewline
0.3 (3.3333) & 5310.179625 \tabularnewline
0.3083 (3.2432) & 13812.129099 \tabularnewline
0.3167 (3.1579) & 728.03892 \tabularnewline
0.325 (3.0769) & 7936.772929 \tabularnewline
0.3333 (3) & 4725.470592 \tabularnewline
0.3417 (2.9268) & 15776.641349 \tabularnewline
0.35 (2.8571) & 106042.577675 \tabularnewline
0.3583 (2.7907) & 21051.328334 \tabularnewline
0.3667 (2.7273) & 13709.787612 \tabularnewline
0.375 (2.6667) & 6175.449597 \tabularnewline
0.3833 (2.6087) & 4387.262263 \tabularnewline
0.3917 (2.5532) & 3224.210965 \tabularnewline
0.4 (2.5) & 481.75037 \tabularnewline
0.4083 (2.449) & 306.999342 \tabularnewline
0.4167 (2.4) & 1311.139451 \tabularnewline
0.425 (2.3529) & 3089.755284 \tabularnewline
0.4333 (2.3077) & 33261.380927 \tabularnewline
0.4417 (2.2642) & 47552.861101 \tabularnewline
0.45 (2.2222) & 10102.133742 \tabularnewline
0.4583 (2.1818) & 17317.402489 \tabularnewline
0.4667 (2.1429) & 5286.841527 \tabularnewline
0.475 (2.1053) & 9311.076367 \tabularnewline
0.4833 (2.069) & 7541.164128 \tabularnewline
0.4917 (2.0339) & 3632.924647 \tabularnewline
0.5 (2) & 1977.403408 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302997&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]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]65613.455456[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]73002.667127[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]665.911932[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]4072.403385[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]21116.678588[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]17208.509173[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]1389.840459[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]11216.753427[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]347.729345[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]259.434445[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]1087.113902[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]11648.746682[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]16800.569814[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]7543.303674[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]12034.575654[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]3257.849357[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]986.852068[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]1606.688905[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]722.104253[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]778.708971[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]1088.507597[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]489.186491[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]9347.844754[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]17632.355789[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]8678.276163[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]23856.007075[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]12339.223654[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]6238.886599[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]5849.186499[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1243.126734[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]4170.884826[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]7994.121612[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]8885.400974[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]2894.251349[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]12128.516634[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]5310.179625[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]13812.129099[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]728.03892[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]7936.772929[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]4725.470592[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]15776.641349[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]106042.577675[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]21051.328334[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]13709.787612[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]6175.449597[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]4387.262263[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]3224.210965[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]481.75037[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]306.999342[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1311.139451[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]3089.755284[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]33261.380927[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]47552.861101[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]10102.133742[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]17317.402489[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]5286.841527[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]9311.076367[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]7541.164128[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]3632.924647[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1977.403408[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302997&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302997&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)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0083 (120)65613.455456
0.0167 (60)73002.667127
0.025 (40)665.911932
0.0333 (30)4072.403385
0.0417 (24)21116.678588
0.05 (20)17208.509173
0.0583 (17.1429)1389.840459
0.0667 (15)11216.753427
0.075 (13.3333)347.729345
0.0833 (12)259.434445
0.0917 (10.9091)1087.113902
0.1 (10)11648.746682
0.1083 (9.2308)16800.569814
0.1167 (8.5714)7543.303674
0.125 (8)12034.575654
0.1333 (7.5)3257.849357
0.1417 (7.0588)986.852068
0.15 (6.6667)1606.688905
0.1583 (6.3158)722.104253
0.1667 (6)778.708971
0.175 (5.7143)1088.507597
0.1833 (5.4545)489.186491
0.1917 (5.2174)9347.844754
0.2 (5)17632.355789
0.2083 (4.8)8678.276163
0.2167 (4.6154)23856.007075
0.225 (4.4444)12339.223654
0.2333 (4.2857)6238.886599
0.2417 (4.1379)5849.186499
0.25 (4)1243.126734
0.2583 (3.871)4170.884826
0.2667 (3.75)7994.121612
0.275 (3.6364)8885.400974
0.2833 (3.5294)2894.251349
0.2917 (3.4286)12128.516634
0.3 (3.3333)5310.179625
0.3083 (3.2432)13812.129099
0.3167 (3.1579)728.03892
0.325 (3.0769)7936.772929
0.3333 (3)4725.470592
0.3417 (2.9268)15776.641349
0.35 (2.8571)106042.577675
0.3583 (2.7907)21051.328334
0.3667 (2.7273)13709.787612
0.375 (2.6667)6175.449597
0.3833 (2.6087)4387.262263
0.3917 (2.5532)3224.210965
0.4 (2.5)481.75037
0.4083 (2.449)306.999342
0.4167 (2.4)1311.139451
0.425 (2.3529)3089.755284
0.4333 (2.3077)33261.380927
0.4417 (2.2642)47552.861101
0.45 (2.2222)10102.133742
0.4583 (2.1818)17317.402489
0.4667 (2.1429)5286.841527
0.475 (2.1053)9311.076367
0.4833 (2.069)7541.164128
0.4917 (2.0339)3632.924647
0.5 (2)1977.403408



Parameters (Session):
Parameters (R input):
par1 = 1 ; 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')