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of Irreproducible Research!

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, 14 Dec 2016 14:55:13 +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/14/t1481723818naqoufzqh8ot6yg.htm/, Retrieved Fri, 03 May 2024 20:14:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=299456, Retrieved Fri, 03 May 2024 20:14:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [] [2016-12-14 13:55:13] [df90c754990be6fd2b18fcd529010a59] [Current]
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Dataseries X:
2160
2660
3680
3380
3600
3940
3080
2680
2920
2660
2360
2440
2660
3000
4140
3580
3960
4280
3000
3620
4280
4500
4360
3840
4620
4700
5280
4700
5340
5200
3880
4920
4600
5360
4960
4060
4880
4980
5440
5320
5960
5460
3780
5220
5920
6060
5100
4400
5480
5240
5160
5620
5440
5460
4680
4940
5900
5580
4480
4600
5540
5800
6460
6100
6080
6080
4860
5740
5980
6660
5520
5360
5900
6360
7280
6220
6660
6860
4460
6360
6480
6800
6460
6060
6760
6860
7320
6680
7220
7160
4100
6560
5780
5500
5800
5300
4240
5620
7100
5960
7360
7420
4760
6040
5940
6720
4700
3100
3880
3540
4160
5260
6040
5800
4180
5120
5980
6940
5440
4360
4640
5540
6840
6340
6620
6680




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299456&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=299456&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299456&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 time1 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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0078 (128)17843621.846277
0.0156 (64)2089007.621814
0.0234 (42.6667)4679560.566366
0.0312 (32)2421578.211106
0.0391 (25.6)2149123.208083
0.0469 (21.3333)1127702.969238
0.0547 (18.2857)1017686.920736
0.0625 (16)1743382.260528
0.0703 (14.2222)2786942.778511
0.0781 (12.8)1912673.308614
0.0859 (11.6364)1034867.277891
0.0938 (10.6667)303623.019456
0.1016 (9.8462)940348.268488
0.1094 (9.1429)323.260465
0.1172 (8.5333)14128.406382
0.125 (8)144145.094294
0.1328 (7.5294)180018.706893
0.1406 (7.1111)166771.745042
0.1484 (6.7368)19429.640893
0.1562 (6.4)489539.339961
0.1641 (6.0952)6195246.700042
0.1719 (5.8182)1234569.265143
0.1797 (5.5652)1046842.988138
0.1875 (5.3333)185776.829806
0.1953 (5.12)222591.88358
0.2031 (4.9231)45253.77347
0.2109 (4.7407)34287.938271
0.2188 (4.5714)166037.582218
0.2266 (4.4138)79420.681512
0.2344 (4.2667)161593.937432
0.2422 (4.129)167432.792149
0.25 (4)3944694.126463
0.2578 (3.8788)63639.945744
0.2656 (3.7647)218305.453492
0.2734 (3.6571)194863.497634
0.2812 (3.5556)460417.188406
0.2891 (3.4595)165952.901028
0.2969 (3.3684)331022.683396
0.3047 (3.2821)32231.719601
0.3125 (3.2)402054.793276
0.3203 (3.122)335454.004515
0.3281 (3.0476)317101.147331
0.3359 (2.9767)1125247.841347
0.3438 (2.9091)608355.573297
0.3516 (2.8444)699570.326038
0.3594 (2.7826)134433.990659
0.3672 (2.7234)64660.564416
0.375 (2.6667)48105.824817
0.3828 (2.6122)179376.974479
0.3906 (2.56)172082.174941
0.3984 (2.5098)163082.857375
0.4062 (2.4615)202757.109621
0.4141 (2.4151)2233404.488106
0.4219 (2.3704)1210060.671423
0.4297 (2.3273)328917.958856
0.4375 (2.2857)5332.355015
0.4453 (2.2456)11932.870213
0.4531 (2.2069)26877.335199
0.4609 (2.1695)18307.348302
0.4688 (2.1333)1399.240801
0.4766 (2.0984)7028.494189
0.4844 (2.0645)26666.836968
0.4922 (2.0317)222123.160752
0.5 (2)347078.16623

\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
0.0078 (128) & 17843621.846277 \tabularnewline
0.0156 (64) & 2089007.621814 \tabularnewline
0.0234 (42.6667) & 4679560.566366 \tabularnewline
0.0312 (32) & 2421578.211106 \tabularnewline
0.0391 (25.6) & 2149123.208083 \tabularnewline
0.0469 (21.3333) & 1127702.969238 \tabularnewline
0.0547 (18.2857) & 1017686.920736 \tabularnewline
0.0625 (16) & 1743382.260528 \tabularnewline
0.0703 (14.2222) & 2786942.778511 \tabularnewline
0.0781 (12.8) & 1912673.308614 \tabularnewline
0.0859 (11.6364) & 1034867.277891 \tabularnewline
0.0938 (10.6667) & 303623.019456 \tabularnewline
0.1016 (9.8462) & 940348.268488 \tabularnewline
0.1094 (9.1429) & 323.260465 \tabularnewline
0.1172 (8.5333) & 14128.406382 \tabularnewline
0.125 (8) & 144145.094294 \tabularnewline
0.1328 (7.5294) & 180018.706893 \tabularnewline
0.1406 (7.1111) & 166771.745042 \tabularnewline
0.1484 (6.7368) & 19429.640893 \tabularnewline
0.1562 (6.4) & 489539.339961 \tabularnewline
0.1641 (6.0952) & 6195246.700042 \tabularnewline
0.1719 (5.8182) & 1234569.265143 \tabularnewline
0.1797 (5.5652) & 1046842.988138 \tabularnewline
0.1875 (5.3333) & 185776.829806 \tabularnewline
0.1953 (5.12) & 222591.88358 \tabularnewline
0.2031 (4.9231) & 45253.77347 \tabularnewline
0.2109 (4.7407) & 34287.938271 \tabularnewline
0.2188 (4.5714) & 166037.582218 \tabularnewline
0.2266 (4.4138) & 79420.681512 \tabularnewline
0.2344 (4.2667) & 161593.937432 \tabularnewline
0.2422 (4.129) & 167432.792149 \tabularnewline
0.25 (4) & 3944694.126463 \tabularnewline
0.2578 (3.8788) & 63639.945744 \tabularnewline
0.2656 (3.7647) & 218305.453492 \tabularnewline
0.2734 (3.6571) & 194863.497634 \tabularnewline
0.2812 (3.5556) & 460417.188406 \tabularnewline
0.2891 (3.4595) & 165952.901028 \tabularnewline
0.2969 (3.3684) & 331022.683396 \tabularnewline
0.3047 (3.2821) & 32231.719601 \tabularnewline
0.3125 (3.2) & 402054.793276 \tabularnewline
0.3203 (3.122) & 335454.004515 \tabularnewline
0.3281 (3.0476) & 317101.147331 \tabularnewline
0.3359 (2.9767) & 1125247.841347 \tabularnewline
0.3438 (2.9091) & 608355.573297 \tabularnewline
0.3516 (2.8444) & 699570.326038 \tabularnewline
0.3594 (2.7826) & 134433.990659 \tabularnewline
0.3672 (2.7234) & 64660.564416 \tabularnewline
0.375 (2.6667) & 48105.824817 \tabularnewline
0.3828 (2.6122) & 179376.974479 \tabularnewline
0.3906 (2.56) & 172082.174941 \tabularnewline
0.3984 (2.5098) & 163082.857375 \tabularnewline
0.4062 (2.4615) & 202757.109621 \tabularnewline
0.4141 (2.4151) & 2233404.488106 \tabularnewline
0.4219 (2.3704) & 1210060.671423 \tabularnewline
0.4297 (2.3273) & 328917.958856 \tabularnewline
0.4375 (2.2857) & 5332.355015 \tabularnewline
0.4453 (2.2456) & 11932.870213 \tabularnewline
0.4531 (2.2069) & 26877.335199 \tabularnewline
0.4609 (2.1695) & 18307.348302 \tabularnewline
0.4688 (2.1333) & 1399.240801 \tabularnewline
0.4766 (2.0984) & 7028.494189 \tabularnewline
0.4844 (2.0645) & 26666.836968 \tabularnewline
0.4922 (2.0317) & 222123.160752 \tabularnewline
0.5 (2) & 347078.16623 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=299456&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]0.0078 (128)[/C][C]17843621.846277[/C][/ROW]
[ROW][C]0.0156 (64)[/C][C]2089007.621814[/C][/ROW]
[ROW][C]0.0234 (42.6667)[/C][C]4679560.566366[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]2421578.211106[/C][/ROW]
[ROW][C]0.0391 (25.6)[/C][C]2149123.208083[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]1127702.969238[/C][/ROW]
[ROW][C]0.0547 (18.2857)[/C][C]1017686.920736[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]1743382.260528[/C][/ROW]
[ROW][C]0.0703 (14.2222)[/C][C]2786942.778511[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]1912673.308614[/C][/ROW]
[ROW][C]0.0859 (11.6364)[/C][C]1034867.277891[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]303623.019456[/C][/ROW]
[ROW][C]0.1016 (9.8462)[/C][C]940348.268488[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]323.260465[/C][/ROW]
[ROW][C]0.1172 (8.5333)[/C][C]14128.406382[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]144145.094294[/C][/ROW]
[ROW][C]0.1328 (7.5294)[/C][C]180018.706893[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]166771.745042[/C][/ROW]
[ROW][C]0.1484 (6.7368)[/C][C]19429.640893[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]489539.339961[/C][/ROW]
[ROW][C]0.1641 (6.0952)[/C][C]6195246.700042[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]1234569.265143[/C][/ROW]
[ROW][C]0.1797 (5.5652)[/C][C]1046842.988138[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]185776.829806[/C][/ROW]
[ROW][C]0.1953 (5.12)[/C][C]222591.88358[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]45253.77347[/C][/ROW]
[ROW][C]0.2109 (4.7407)[/C][C]34287.938271[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]166037.582218[/C][/ROW]
[ROW][C]0.2266 (4.4138)[/C][C]79420.681512[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]161593.937432[/C][/ROW]
[ROW][C]0.2422 (4.129)[/C][C]167432.792149[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]3944694.126463[/C][/ROW]
[ROW][C]0.2578 (3.8788)[/C][C]63639.945744[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]218305.453492[/C][/ROW]
[ROW][C]0.2734 (3.6571)[/C][C]194863.497634[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]460417.188406[/C][/ROW]
[ROW][C]0.2891 (3.4595)[/C][C]165952.901028[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]331022.683396[/C][/ROW]
[ROW][C]0.3047 (3.2821)[/C][C]32231.719601[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]402054.793276[/C][/ROW]
[ROW][C]0.3203 (3.122)[/C][C]335454.004515[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]317101.147331[/C][/ROW]
[ROW][C]0.3359 (2.9767)[/C][C]1125247.841347[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]608355.573297[/C][/ROW]
[ROW][C]0.3516 (2.8444)[/C][C]699570.326038[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]134433.990659[/C][/ROW]
[ROW][C]0.3672 (2.7234)[/C][C]64660.564416[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]48105.824817[/C][/ROW]
[ROW][C]0.3828 (2.6122)[/C][C]179376.974479[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]172082.174941[/C][/ROW]
[ROW][C]0.3984 (2.5098)[/C][C]163082.857375[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]202757.109621[/C][/ROW]
[ROW][C]0.4141 (2.4151)[/C][C]2233404.488106[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]1210060.671423[/C][/ROW]
[ROW][C]0.4297 (2.3273)[/C][C]328917.958856[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]5332.355015[/C][/ROW]
[ROW][C]0.4453 (2.2456)[/C][C]11932.870213[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]26877.335199[/C][/ROW]
[ROW][C]0.4609 (2.1695)[/C][C]18307.348302[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]1399.240801[/C][/ROW]
[ROW][C]0.4766 (2.0984)[/C][C]7028.494189[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]26666.836968[/C][/ROW]
[ROW][C]0.4922 (2.0317)[/C][C]222123.160752[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]347078.16623[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=299456&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=299456&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0078 (128)17843621.846277
0.0156 (64)2089007.621814
0.0234 (42.6667)4679560.566366
0.0312 (32)2421578.211106
0.0391 (25.6)2149123.208083
0.0469 (21.3333)1127702.969238
0.0547 (18.2857)1017686.920736
0.0625 (16)1743382.260528
0.0703 (14.2222)2786942.778511
0.0781 (12.8)1912673.308614
0.0859 (11.6364)1034867.277891
0.0938 (10.6667)303623.019456
0.1016 (9.8462)940348.268488
0.1094 (9.1429)323.260465
0.1172 (8.5333)14128.406382
0.125 (8)144145.094294
0.1328 (7.5294)180018.706893
0.1406 (7.1111)166771.745042
0.1484 (6.7368)19429.640893
0.1562 (6.4)489539.339961
0.1641 (6.0952)6195246.700042
0.1719 (5.8182)1234569.265143
0.1797 (5.5652)1046842.988138
0.1875 (5.3333)185776.829806
0.1953 (5.12)222591.88358
0.2031 (4.9231)45253.77347
0.2109 (4.7407)34287.938271
0.2188 (4.5714)166037.582218
0.2266 (4.4138)79420.681512
0.2344 (4.2667)161593.937432
0.2422 (4.129)167432.792149
0.25 (4)3944694.126463
0.2578 (3.8788)63639.945744
0.2656 (3.7647)218305.453492
0.2734 (3.6571)194863.497634
0.2812 (3.5556)460417.188406
0.2891 (3.4595)165952.901028
0.2969 (3.3684)331022.683396
0.3047 (3.2821)32231.719601
0.3125 (3.2)402054.793276
0.3203 (3.122)335454.004515
0.3281 (3.0476)317101.147331
0.3359 (2.9767)1125247.841347
0.3438 (2.9091)608355.573297
0.3516 (2.8444)699570.326038
0.3594 (2.7826)134433.990659
0.3672 (2.7234)64660.564416
0.375 (2.6667)48105.824817
0.3828 (2.6122)179376.974479
0.3906 (2.56)172082.174941
0.3984 (2.5098)163082.857375
0.4062 (2.4615)202757.109621
0.4141 (2.4151)2233404.488106
0.4219 (2.3704)1210060.671423
0.4297 (2.3273)328917.958856
0.4375 (2.2857)5332.355015
0.4453 (2.2456)11932.870213
0.4531 (2.2069)26877.335199
0.4609 (2.1695)18307.348302
0.4688 (2.1333)1399.240801
0.4766 (2.0984)7028.494189
0.4844 (2.0645)26666.836968
0.4922 (2.0317)222123.160752
0.5 (2)347078.16623



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):
par4 <- '12'
par3 <- '0'
par2 <- '1'
par1 <- '1'
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')