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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 computationSun, 16 Dec 2018 12:31:13 +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/2018/Dec/16/t15449599115atuaes1xxvpp20.htm/, Retrieved Sat, 04 May 2024 21:56:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315891, Retrieved Sat, 04 May 2024 21:56:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact94

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [7.4] [2018-12-16 11:31:13] [8a5e0afcf6717d9f6403a9670ed2b6e6] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
250.782608695602
363.925465838513
8.21118012422518
359.628364389236
81.1283643892363
258.628364389234
464.961697722569
720.628364389236
204.295031055902
230.128364389236
231.795031055902
-210.704968944098
155.664596273302
185.80745341615
-74.9068322981351
-28.4896480331252
62.0103519668749
22.5103519668751
-283.156314699792
-126.489648033125
-535.822981366459
7.01035196687472
-190.322981366459
-276.822981366458
-108.453416149059
-341.310559006211
-126.024844720496
-80.6076604554861
-223.107660455486
-551.607660455486
107.725672877847
-418.607660455486
-218.94099378882
97.8923395445138
-516.44099378882
-71.9409937888195
-416.57142857142
-374.428571428572
79.8571428571429
-92.725672877847
116.774327122153
-196.725672877847
-288.392339544514
-604.725672877847
158.94099378882
107.774327122153
22.4409937888195
3.94099378881948
-321.689440993781
49.4534161490671
341.739130434782
-210.843685300208
14.6563146997918
189.156314699792
79.489648033125
-40.843685300208
131.822981366458
-342.343685300208
218.322981366459
81.8229813664584
2.192546583858
-111.664596273294
83.621118012421
53.0383022774308
-51.4616977225691
278.038302277431
-80.628364389236
470.038302277431
259.704968944098
-100.461697722569
234.204968944098
473.704968944098
438.074534161497
228.217391304345
-312.49689440994

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=315891&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=315891&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315891&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)1
Frequency (Period)Spectrum
0.0133 (75)753094.46877
0.0267 (37.5)134968.63529
0.04 (25)27626.497202
0.0533 (18.75)77602.135727
0.0667 (15)66654.989339
0.08 (12.5)18456.262629
0.0933 (10.7143)40002.303079
0.1067 (9.375)11564.772118
0.12 (8.3333)44908.268973
0.1333 (7.5)51620.867459
0.1467 (6.8182)44159.597117
0.16 (6.25)57977.890382
0.1733 (5.7692)15903.675146
0.1867 (5.3571)79272.016552
0.2 (5)1839.510722
0.2133 (4.6875)111107.702475
0.2267 (4.4118)42676.203278
0.24 (4.1667)25542.678141
0.2533 (3.9474)3090.388236
0.2667 (3.75)6575.593789
0.28 (3.5714)24042.568877
0.2933 (3.4091)33064.472117
0.3067 (3.2609)21229.978809
0.32 (3.125)24460.917195
0.3333 (3)7866.06299
0.3467 (2.8846)360187.437331
0.36 (2.7778)41148.171142
0.3733 (2.6786)15382.3752
0.3867 (2.5862)5396.177821
0.4 (2.5)59583.160672
0.4133 (2.4194)10069.181357
0.4267 (2.3438)119236.179399
0.44 (2.2727)130174.36796
0.4533 (2.2059)15364.1068
0.4667 (2.1429)10696.954935
0.48 (2.0833)22615.605967
0.4933 (2.027)26506.59502

\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) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0133 (75) & 753094.46877 \tabularnewline
0.0267 (37.5) & 134968.63529 \tabularnewline
0.04 (25) & 27626.497202 \tabularnewline
0.0533 (18.75) & 77602.135727 \tabularnewline
0.0667 (15) & 66654.989339 \tabularnewline
0.08 (12.5) & 18456.262629 \tabularnewline
0.0933 (10.7143) & 40002.303079 \tabularnewline
0.1067 (9.375) & 11564.772118 \tabularnewline
0.12 (8.3333) & 44908.268973 \tabularnewline
0.1333 (7.5) & 51620.867459 \tabularnewline
0.1467 (6.8182) & 44159.597117 \tabularnewline
0.16 (6.25) & 57977.890382 \tabularnewline
0.1733 (5.7692) & 15903.675146 \tabularnewline
0.1867 (5.3571) & 79272.016552 \tabularnewline
0.2 (5) & 1839.510722 \tabularnewline
0.2133 (4.6875) & 111107.702475 \tabularnewline
0.2267 (4.4118) & 42676.203278 \tabularnewline
0.24 (4.1667) & 25542.678141 \tabularnewline
0.2533 (3.9474) & 3090.388236 \tabularnewline
0.2667 (3.75) & 6575.593789 \tabularnewline
0.28 (3.5714) & 24042.568877 \tabularnewline
0.2933 (3.4091) & 33064.472117 \tabularnewline
0.3067 (3.2609) & 21229.978809 \tabularnewline
0.32 (3.125) & 24460.917195 \tabularnewline
0.3333 (3) & 7866.06299 \tabularnewline
0.3467 (2.8846) & 360187.437331 \tabularnewline
0.36 (2.7778) & 41148.171142 \tabularnewline
0.3733 (2.6786) & 15382.3752 \tabularnewline
0.3867 (2.5862) & 5396.177821 \tabularnewline
0.4 (2.5) & 59583.160672 \tabularnewline
0.4133 (2.4194) & 10069.181357 \tabularnewline
0.4267 (2.3438) & 119236.179399 \tabularnewline
0.44 (2.2727) & 130174.36796 \tabularnewline
0.4533 (2.2059) & 15364.1068 \tabularnewline
0.4667 (2.1429) & 10696.954935 \tabularnewline
0.48 (2.0833) & 22615.605967 \tabularnewline
0.4933 (2.027) & 26506.59502 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315891&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]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0133 (75)[/C][C]753094.46877[/C][/ROW]
[ROW][C]0.0267 (37.5)[/C][C]134968.63529[/C][/ROW]
[ROW][C]0.04 (25)[/C][C]27626.497202[/C][/ROW]
[ROW][C]0.0533 (18.75)[/C][C]77602.135727[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]66654.989339[/C][/ROW]
[ROW][C]0.08 (12.5)[/C][C]18456.262629[/C][/ROW]
[ROW][C]0.0933 (10.7143)[/C][C]40002.303079[/C][/ROW]
[ROW][C]0.1067 (9.375)[/C][C]11564.772118[/C][/ROW]
[ROW][C]0.12 (8.3333)[/C][C]44908.268973[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]51620.867459[/C][/ROW]
[ROW][C]0.1467 (6.8182)[/C][C]44159.597117[/C][/ROW]
[ROW][C]0.16 (6.25)[/C][C]57977.890382[/C][/ROW]
[ROW][C]0.1733 (5.7692)[/C][C]15903.675146[/C][/ROW]
[ROW][C]0.1867 (5.3571)[/C][C]79272.016552[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]1839.510722[/C][/ROW]
[ROW][C]0.2133 (4.6875)[/C][C]111107.702475[/C][/ROW]
[ROW][C]0.2267 (4.4118)[/C][C]42676.203278[/C][/ROW]
[ROW][C]0.24 (4.1667)[/C][C]25542.678141[/C][/ROW]
[ROW][C]0.2533 (3.9474)[/C][C]3090.388236[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]6575.593789[/C][/ROW]
[ROW][C]0.28 (3.5714)[/C][C]24042.568877[/C][/ROW]
[ROW][C]0.2933 (3.4091)[/C][C]33064.472117[/C][/ROW]
[ROW][C]0.3067 (3.2609)[/C][C]21229.978809[/C][/ROW]
[ROW][C]0.32 (3.125)[/C][C]24460.917195[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]7866.06299[/C][/ROW]
[ROW][C]0.3467 (2.8846)[/C][C]360187.437331[/C][/ROW]
[ROW][C]0.36 (2.7778)[/C][C]41148.171142[/C][/ROW]
[ROW][C]0.3733 (2.6786)[/C][C]15382.3752[/C][/ROW]
[ROW][C]0.3867 (2.5862)[/C][C]5396.177821[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]59583.160672[/C][/ROW]
[ROW][C]0.4133 (2.4194)[/C][C]10069.181357[/C][/ROW]
[ROW][C]0.4267 (2.3438)[/C][C]119236.179399[/C][/ROW]
[ROW][C]0.44 (2.2727)[/C][C]130174.36796[/C][/ROW]
[ROW][C]0.4533 (2.2059)[/C][C]15364.1068[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]10696.954935[/C][/ROW]
[ROW][C]0.48 (2.0833)[/C][C]22615.605967[/C][/ROW]
[ROW][C]0.4933 (2.027)[/C][C]26506.59502[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315891&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315891&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)1
Frequency (Period)Spectrum
0.0133 (75)753094.46877
0.0267 (37.5)134968.63529
0.04 (25)27626.497202
0.0533 (18.75)77602.135727
0.0667 (15)66654.989339
0.08 (12.5)18456.262629
0.0933 (10.7143)40002.303079
0.1067 (9.375)11564.772118
0.12 (8.3333)44908.268973
0.1333 (7.5)51620.867459
0.1467 (6.8182)44159.597117
0.16 (6.25)57977.890382
0.1733 (5.7692)15903.675146
0.1867 (5.3571)79272.016552
0.2 (5)1839.510722
0.2133 (4.6875)111107.702475
0.2267 (4.4118)42676.203278
0.24 (4.1667)25542.678141
0.2533 (3.9474)3090.388236
0.2667 (3.75)6575.593789
0.28 (3.5714)24042.568877
0.2933 (3.4091)33064.472117
0.3067 (3.2609)21229.978809
0.32 (3.125)24460.917195
0.3333 (3)7866.06299
0.3467 (2.8846)360187.437331
0.36 (2.7778)41148.171142
0.3733 (2.6786)15382.3752
0.3867 (2.5862)5396.177821
0.4 (2.5)59583.160672
0.4133 (2.4194)10069.181357
0.4267 (2.3438)119236.179399
0.44 (2.2727)130174.36796
0.4533 (2.2059)15364.1068
0.4667 (2.1429)10696.954935
0.48 (2.0833)22615.605967
0.4933 (2.027)26506.59502


Figures (Output of Computation)

Input Parameters & R Code

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