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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, 14 Dec 2017 10:34:18 +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/2017/Dec/14/t1513244077bxdsrr8krdkqkal.htm/, Retrieved Tue, 14 May 2024 03:55:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=309424, Retrieved Tue, 14 May 2024 03:55:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [Spectral analysis...] [2017-12-14 09:34:18] [5c76e56d84d1440d36aad135bd2f9339] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
18142
8613
8347
7054
5179
6785
7887
6926
6355
7533
6727
8215
13880
10484
9847
6952
9393
12870
9330
14726
10176.66667
7815
6419
9900
9999.833333
14523
12419
8923
11857
12676
14873
11711
15243
9751
7631
8161
10435
15188
10237
11642
16513
18632
15526
14991
10365
10369
10912
14476.83333
19891
17448
17876
11414
9452
15509
11286
13318
9298.833333
6850
4497
4333
7301
4323
6033
4513
4442
7666
6260
5339
3686
4549
3675
7356
8341
20001
9554
6334
4313
4161
7835
9109
7691
5091
7407
11632
17611
9481
7603
4485
10381
8796
10132
10163
17969
6695

Tables (Output of Computation)





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=309424&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=309424&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309424&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 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
0.0104 (96)114199835.714807
0.0208 (48)140899646.314868
0.0312 (32)52490797.514781
0.0417 (24)26800924.513028
0.0521 (19.2)15655772.606211
0.0625 (16)131307.89538
0.0729 (13.7143)15717488.353789
0.0833 (12)22734494.122042
0.0938 (10.6667)42478423.188054
0.1042 (9.6)490316.952556
0.1146 (8.7273)31248595.972259
0.125 (8)21195136.873941
0.1354 (7.3846)13788249.458209
0.1458 (6.8571)2789329.363852
0.1562 (6.4)1836380.895193
0.1667 (6)113408655.729614
0.1771 (5.6471)2284656.310871
0.1875 (5.3333)11714471.988121
0.1979 (5.0526)11967643.765574
0.2083 (4.8)12725500.788394
0.2187 (4.5714)3325428.494194
0.2292 (4.3636)342027.212607
0.2396 (4.1739)4446653.940946
0.25 (4)14241994.549249
0.2604 (3.84)350011.906684
0.2708 (3.6923)3517893.316013
0.2812 (3.5556)4574172.963794
0.2917 (3.4286)5233259.597429
0.3021 (3.3103)4201585.347427
0.3125 (3.2)1652546.767874
0.3229 (3.0968)1833651.482282
0.3333 (3)1778025.682038
0.3438 (2.9091)1175608.081316
0.3542 (2.8235)5444670.520989
0.3646 (2.7429)1685376.396892
0.375 (2.6667)2115108.658585
0.3854 (2.5946)9210555.108113
0.3958 (2.5263)10977836.296866
0.4062 (2.4615)609022.329788
0.4167 (2.4)1776616.008352
0.4271 (2.3415)133054.004155
0.4375 (2.2857)11312965.028899
0.4479 (2.2326)11083871.472014
0.4583 (2.1818)9208436.29354
0.4688 (2.1333)3728988.686166
0.4792 (2.087)4282511.373159
0.4896 (2.0426)1739190.884095
0.5 (2)762622.421434

\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
0.0104 (96) & 114199835.714807 \tabularnewline
0.0208 (48) & 140899646.314868 \tabularnewline
0.0312 (32) & 52490797.514781 \tabularnewline
0.0417 (24) & 26800924.513028 \tabularnewline
0.0521 (19.2) & 15655772.606211 \tabularnewline
0.0625 (16) & 131307.89538 \tabularnewline
0.0729 (13.7143) & 15717488.353789 \tabularnewline
0.0833 (12) & 22734494.122042 \tabularnewline
0.0938 (10.6667) & 42478423.188054 \tabularnewline
0.1042 (9.6) & 490316.952556 \tabularnewline
0.1146 (8.7273) & 31248595.972259 \tabularnewline
0.125 (8) & 21195136.873941 \tabularnewline
0.1354 (7.3846) & 13788249.458209 \tabularnewline
0.1458 (6.8571) & 2789329.363852 \tabularnewline
0.1562 (6.4) & 1836380.895193 \tabularnewline
0.1667 (6) & 113408655.729614 \tabularnewline
0.1771 (5.6471) & 2284656.310871 \tabularnewline
0.1875 (5.3333) & 11714471.988121 \tabularnewline
0.1979 (5.0526) & 11967643.765574 \tabularnewline
0.2083 (4.8) & 12725500.788394 \tabularnewline
0.2187 (4.5714) & 3325428.494194 \tabularnewline
0.2292 (4.3636) & 342027.212607 \tabularnewline
0.2396 (4.1739) & 4446653.940946 \tabularnewline
0.25 (4) & 14241994.549249 \tabularnewline
0.2604 (3.84) & 350011.906684 \tabularnewline
0.2708 (3.6923) & 3517893.316013 \tabularnewline
0.2812 (3.5556) & 4574172.963794 \tabularnewline
0.2917 (3.4286) & 5233259.597429 \tabularnewline
0.3021 (3.3103) & 4201585.347427 \tabularnewline
0.3125 (3.2) & 1652546.767874 \tabularnewline
0.3229 (3.0968) & 1833651.482282 \tabularnewline
0.3333 (3) & 1778025.682038 \tabularnewline
0.3438 (2.9091) & 1175608.081316 \tabularnewline
0.3542 (2.8235) & 5444670.520989 \tabularnewline
0.3646 (2.7429) & 1685376.396892 \tabularnewline
0.375 (2.6667) & 2115108.658585 \tabularnewline
0.3854 (2.5946) & 9210555.108113 \tabularnewline
0.3958 (2.5263) & 10977836.296866 \tabularnewline
0.4062 (2.4615) & 609022.329788 \tabularnewline
0.4167 (2.4) & 1776616.008352 \tabularnewline
0.4271 (2.3415) & 133054.004155 \tabularnewline
0.4375 (2.2857) & 11312965.028899 \tabularnewline
0.4479 (2.2326) & 11083871.472014 \tabularnewline
0.4583 (2.1818) & 9208436.29354 \tabularnewline
0.4688 (2.1333) & 3728988.686166 \tabularnewline
0.4792 (2.087) & 4282511.373159 \tabularnewline
0.4896 (2.0426) & 1739190.884095 \tabularnewline
0.5 (2) & 762622.421434 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=309424&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]0.0104 (96)[/C][C]114199835.714807[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]140899646.314868[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]52490797.514781[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]26800924.513028[/C][/ROW]
[ROW][C]0.0521 (19.2)[/C][C]15655772.606211[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]131307.89538[/C][/ROW]
[ROW][C]0.0729 (13.7143)[/C][C]15717488.353789[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]22734494.122042[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]42478423.188054[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]490316.952556[/C][/ROW]
[ROW][C]0.1146 (8.7273)[/C][C]31248595.972259[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]21195136.873941[/C][/ROW]
[ROW][C]0.1354 (7.3846)[/C][C]13788249.458209[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]2789329.363852[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]1836380.895193[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]113408655.729614[/C][/ROW]
[ROW][C]0.1771 (5.6471)[/C][C]2284656.310871[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]11714471.988121[/C][/ROW]
[ROW][C]0.1979 (5.0526)[/C][C]11967643.765574[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]12725500.788394[/C][/ROW]
[ROW][C]0.2187 (4.5714)[/C][C]3325428.494194[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]342027.212607[/C][/ROW]
[ROW][C]0.2396 (4.1739)[/C][C]4446653.940946[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]14241994.549249[/C][/ROW]
[ROW][C]0.2604 (3.84)[/C][C]350011.906684[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]3517893.316013[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]4574172.963794[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]5233259.597429[/C][/ROW]
[ROW][C]0.3021 (3.3103)[/C][C]4201585.347427[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]1652546.767874[/C][/ROW]
[ROW][C]0.3229 (3.0968)[/C][C]1833651.482282[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1778025.682038[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]1175608.081316[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]5444670.520989[/C][/ROW]
[ROW][C]0.3646 (2.7429)[/C][C]1685376.396892[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]2115108.658585[/C][/ROW]
[ROW][C]0.3854 (2.5946)[/C][C]9210555.108113[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]10977836.296866[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]609022.329788[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1776616.008352[/C][/ROW]
[ROW][C]0.4271 (2.3415)[/C][C]133054.004155[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]11312965.028899[/C][/ROW]
[ROW][C]0.4479 (2.2326)[/C][C]11083871.472014[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]9208436.29354[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]3728988.686166[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]4282511.373159[/C][/ROW]
[ROW][C]0.4896 (2.0426)[/C][C]1739190.884095[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]762622.421434[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=309424&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=309424&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
0.0104 (96)114199835.714807
0.0208 (48)140899646.314868
0.0312 (32)52490797.514781
0.0417 (24)26800924.513028
0.0521 (19.2)15655772.606211
0.0625 (16)131307.89538
0.0729 (13.7143)15717488.353789
0.0833 (12)22734494.122042
0.0938 (10.6667)42478423.188054
0.1042 (9.6)490316.952556
0.1146 (8.7273)31248595.972259
0.125 (8)21195136.873941
0.1354 (7.3846)13788249.458209
0.1458 (6.8571)2789329.363852
0.1562 (6.4)1836380.895193
0.1667 (6)113408655.729614
0.1771 (5.6471)2284656.310871
0.1875 (5.3333)11714471.988121
0.1979 (5.0526)11967643.765574
0.2083 (4.8)12725500.788394
0.2187 (4.5714)3325428.494194
0.2292 (4.3636)342027.212607
0.2396 (4.1739)4446653.940946
0.25 (4)14241994.549249
0.2604 (3.84)350011.906684
0.2708 (3.6923)3517893.316013
0.2812 (3.5556)4574172.963794
0.2917 (3.4286)5233259.597429
0.3021 (3.3103)4201585.347427
0.3125 (3.2)1652546.767874
0.3229 (3.0968)1833651.482282
0.3333 (3)1778025.682038
0.3438 (2.9091)1175608.081316
0.3542 (2.8235)5444670.520989
0.3646 (2.7429)1685376.396892
0.375 (2.6667)2115108.658585
0.3854 (2.5946)9210555.108113
0.3958 (2.5263)10977836.296866
0.4062 (2.4615)609022.329788
0.4167 (2.4)1776616.008352
0.4271 (2.3415)133054.004155
0.4375 (2.2857)11312965.028899
0.4479 (2.2326)11083871.472014
0.4583 (2.1818)9208436.29354
0.4688 (2.1333)3728988.686166
0.4792 (2.087)4282511.373159
0.4896 (2.0426)1739190.884095
0.5 (2)762622.421434


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 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 <- '0'
par1 <- '12'
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')