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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationWed, 29 Dec 2010 16:04:34 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/29/t1293638547tl4y86snftflhpl.htm/, Retrieved Fri, 03 May 2024 05:54:52 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=116935, Retrieved Fri, 03 May 2024 05:54:52 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact97

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [Paper] [2010-12-29 16:04:34] [d5e0edb7e0239841e94676417b2a1e2e] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
235243
230354
227184
221678
217142
219452
256446
265845
248624
241114
229245
231805
219277
219313
212610
214771
211142
211457
240048
240636
230580
208795
197922
194596
194581
185686
178106
172608
167302
168053
202300
202388
182516
173476
166444
171297
169701
164182
161914
159612
151001
158114
186530
187069
174330
169362
166827
178037
186413
189226
191563
188906
186005
195309
223532
226899
214126
206903
204442
220375
214320
212588
205816
202196
195722
198563
229139
229527
211868
203555
195770

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time14 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 14 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116935&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]14 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116935&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116935&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 Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time14 seconds
R Server'George Udny Yule' @ 72.249.76.132






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)195397559.631126
0.0333 (30)45983481.699639
0.05 (20)100731214.795977
0.0667 (15)5482311.520013
0.0833 (12)29402921.821033
0.1 (10)25756611.129834
0.1167 (8.5714)27953491.299972
0.1333 (7.5)2106891.238316
0.15 (6.6667)4141433.463195
0.1667 (6)12706368.264781
0.1833 (5.4545)2977570.442316
0.2 (5)62140677.788087
0.2167 (4.6154)60483842.929804
0.2333 (4.2857)29450415.66743
0.25 (4)688992.926413
0.2667 (3.75)8087780.071506
0.2833 (3.5294)104983086.582142
0.3 (3.3333)8687469.777198
0.3167 (3.1579)5962130.984364
0.3333 (3)6073716.353304
0.35 (2.8571)29926992.124186
0.3667 (2.7273)31789696.97992
0.3833 (2.6087)33448088.937876
0.4 (2.5)7327398.693446
0.4167 (2.4)1040716.101696
0.4333 (2.3077)78896296.537706
0.45 (2.2222)83199337.776486
0.4667 (2.1429)138925751.744173
0.4833 (2.069)69731235.968451
0.5 (2)789907.021365

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 1 \tabularnewline
Degree of seasonal differencing (D) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 195397559.631126 \tabularnewline
0.0333 (30) & 45983481.699639 \tabularnewline
0.05 (20) & 100731214.795977 \tabularnewline
0.0667 (15) & 5482311.520013 \tabularnewline
0.0833 (12) & 29402921.821033 \tabularnewline
0.1 (10) & 25756611.129834 \tabularnewline
0.1167 (8.5714) & 27953491.299972 \tabularnewline
0.1333 (7.5) & 2106891.238316 \tabularnewline
0.15 (6.6667) & 4141433.463195 \tabularnewline
0.1667 (6) & 12706368.264781 \tabularnewline
0.1833 (5.4545) & 2977570.442316 \tabularnewline
0.2 (5) & 62140677.788087 \tabularnewline
0.2167 (4.6154) & 60483842.929804 \tabularnewline
0.2333 (4.2857) & 29450415.66743 \tabularnewline
0.25 (4) & 688992.926413 \tabularnewline
0.2667 (3.75) & 8087780.071506 \tabularnewline
0.2833 (3.5294) & 104983086.582142 \tabularnewline
0.3 (3.3333) & 8687469.777198 \tabularnewline
0.3167 (3.1579) & 5962130.984364 \tabularnewline
0.3333 (3) & 6073716.353304 \tabularnewline
0.35 (2.8571) & 29926992.124186 \tabularnewline
0.3667 (2.7273) & 31789696.97992 \tabularnewline
0.3833 (2.6087) & 33448088.937876 \tabularnewline
0.4 (2.5) & 7327398.693446 \tabularnewline
0.4167 (2.4) & 1040716.101696 \tabularnewline
0.4333 (2.3077) & 78896296.537706 \tabularnewline
0.45 (2.2222) & 83199337.776486 \tabularnewline
0.4667 (2.1429) & 138925751.744173 \tabularnewline
0.4833 (2.069) & 69731235.968451 \tabularnewline
0.5 (2) & 789907.021365 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=116935&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]1[/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]0.0167 (60)[/C][C]195397559.631126[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]45983481.699639[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]100731214.795977[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]5482311.520013[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]29402921.821033[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]25756611.129834[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]27953491.299972[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]2106891.238316[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]4141433.463195[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]12706368.264781[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]2977570.442316[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]62140677.788087[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]60483842.929804[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]29450415.66743[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]688992.926413[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]8087780.071506[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]104983086.582142[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]8687469.777198[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]5962130.984364[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]6073716.353304[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]29926992.124186[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]31789696.97992[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]33448088.937876[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]7327398.693446[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1040716.101696[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]78896296.537706[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]83199337.776486[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]138925751.744173[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]69731235.968451[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]789907.021365[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=116935&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=116935&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)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)195397559.631126
0.0333 (30)45983481.699639
0.05 (20)100731214.795977
0.0667 (15)5482311.520013
0.0833 (12)29402921.821033
0.1 (10)25756611.129834
0.1167 (8.5714)27953491.299972
0.1333 (7.5)2106891.238316
0.15 (6.6667)4141433.463195
0.1667 (6)12706368.264781
0.1833 (5.4545)2977570.442316
0.2 (5)62140677.788087
0.2167 (4.6154)60483842.929804
0.2333 (4.2857)29450415.66743
0.25 (4)688992.926413
0.2667 (3.75)8087780.071506
0.2833 (3.5294)104983086.582142
0.3 (3.3333)8687469.777198
0.3167 (3.1579)5962130.984364
0.3333 (3)6073716.353304
0.35 (2.8571)29926992.124186
0.3667 (2.7273)31789696.97992
0.3833 (2.6087)33448088.937876
0.4 (2.5)7327398.693446
0.4167 (2.4)1040716.101696
0.4333 (2.3077)78896296.537706
0.45 (2.2222)83199337.776486
0.4667 (2.1429)138925751.744173
0.4833 (2.069)69731235.968451
0.5 (2)789907.021365


Figures (Output of Computation)

Input Parameters & R Code

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