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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 computationFri, 04 Dec 2009 02:54:13 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Dec/04/t1259920487y4befgiu0qt484g.htm/, Retrieved Sat, 27 Apr 2024 19:22:39 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63219, Retrieved Sat, 27 Apr 2024 19:22:39 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact92

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Spectral Analysis] [Identifying Integ...] [2009-11-22 12:38:17] [b98453cac15ba1066b407e146608df68]
-   PD        [Spectral Analysis] [workshop 8] [2009-11-26 20:43:24] [28d531aeb5ea2ff1b676cbab66947a19]
-   P             [Spectral Analysis] [WS 8 review] [2009-12-04 09:54:13] [51118f1042b56b16d340924f16263174] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
283.042
276.687
277.915
277.128
277.103
275.037
270.150
267.140
264.993
287.259
291.186
292.300
288.186
281.477
282.656
280.190
280.408
276.836
275.216
274.352
271.311
289.802
290.726
292.300
278.506
269.826
265.861
269.034
264.176
255.198
253.353
246.057
235.372
258.556
260.993
254.663
250.643
243.422
247.105
248.541
245.039
237.080
237.085
225.554
226.839
247.934
248.333
246.969
245.098
246.263
255.765
264.319
268.347
273.046
273.963
267.430
271.993
292.710
295.881
293.299

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63219&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63219&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63219&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)88.724695
0.0333 (30)16.233909
0.05 (20)13.396749
0.0667 (15)47.584387
0.0833 (12)128.27151
0.1 (10)29.365899
0.1167 (8.5714)24.409087
0.1333 (7.5)3.44873
0.15 (6.6667)1.552804
0.1667 (6)614.99895
0.1833 (5.4545)31.199504
0.2 (5)4.828732
0.2167 (4.6154)5.703858
0.2333 (4.2857)5.124781
0.25 (4)172.571357
0.2667 (3.75)43.530042
0.2833 (3.5294)6.599239
0.3 (3.3333)6.037542
0.3167 (3.1579)3.792094
0.3333 (3)239.381796
0.35 (2.8571)58.885027
0.3667 (2.7273)24.2207
0.3833 (2.6087)4.421082
0.4 (2.5)5.703859
0.4167 (2.4)182.745035
0.4333 (2.3077)21.051875
0.45 (2.2222)26.923604
0.4667 (2.1429)7.227843
0.4833 (2.069)22.291802
0.5 (2)68.494183

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 88.724695 \tabularnewline
0.0333 (30) & 16.233909 \tabularnewline
0.05 (20) & 13.396749 \tabularnewline
0.0667 (15) & 47.584387 \tabularnewline
0.0833 (12) & 128.27151 \tabularnewline
0.1 (10) & 29.365899 \tabularnewline
0.1167 (8.5714) & 24.409087 \tabularnewline
0.1333 (7.5) & 3.44873 \tabularnewline
0.15 (6.6667) & 1.552804 \tabularnewline
0.1667 (6) & 614.99895 \tabularnewline
0.1833 (5.4545) & 31.199504 \tabularnewline
0.2 (5) & 4.828732 \tabularnewline
0.2167 (4.6154) & 5.703858 \tabularnewline
0.2333 (4.2857) & 5.124781 \tabularnewline
0.25 (4) & 172.571357 \tabularnewline
0.2667 (3.75) & 43.530042 \tabularnewline
0.2833 (3.5294) & 6.599239 \tabularnewline
0.3 (3.3333) & 6.037542 \tabularnewline
0.3167 (3.1579) & 3.792094 \tabularnewline
0.3333 (3) & 239.381796 \tabularnewline
0.35 (2.8571) & 58.885027 \tabularnewline
0.3667 (2.7273) & 24.2207 \tabularnewline
0.3833 (2.6087) & 4.421082 \tabularnewline
0.4 (2.5) & 5.703859 \tabularnewline
0.4167 (2.4) & 182.745035 \tabularnewline
0.4333 (2.3077) & 21.051875 \tabularnewline
0.45 (2.2222) & 26.923604 \tabularnewline
0.4667 (2.1429) & 7.227843 \tabularnewline
0.4833 (2.069) & 22.291802 \tabularnewline
0.5 (2) & 68.494183 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63219&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]88.724695[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]16.233909[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]13.396749[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]47.584387[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]128.27151[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]29.365899[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]24.409087[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]3.44873[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]1.552804[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]614.99895[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]31.199504[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]4.828732[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]5.703858[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]5.124781[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]172.571357[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]43.530042[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]6.599239[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]6.037542[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]3.792094[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]239.381796[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]58.885027[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]24.2207[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]4.421082[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]5.703859[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]182.745035[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]21.051875[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]26.923604[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]7.227843[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]22.291802[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]68.494183[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63219&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63219&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)88.724695
0.0333 (30)16.233909
0.05 (20)13.396749
0.0667 (15)47.584387
0.0833 (12)128.27151
0.1 (10)29.365899
0.1167 (8.5714)24.409087
0.1333 (7.5)3.44873
0.15 (6.6667)1.552804
0.1667 (6)614.99895
0.1833 (5.4545)31.199504
0.2 (5)4.828732
0.2167 (4.6154)5.703858
0.2333 (4.2857)5.124781
0.25 (4)172.571357
0.2667 (3.75)43.530042
0.2833 (3.5294)6.599239
0.3 (3.3333)6.037542
0.3167 (3.1579)3.792094
0.3333 (3)239.381796
0.35 (2.8571)58.885027
0.3667 (2.7273)24.2207
0.3833 (2.6087)4.421082
0.4 (2.5)5.703859
0.4167 (2.4)182.745035
0.4333 (2.3077)21.051875
0.45 (2.2222)26.923604
0.4667 (2.1429)7.227843
0.4833 (2.069)22.291802
0.5 (2)68.494183


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 36 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; 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')