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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 computationTue, 24 Nov 2009 11:41:08 -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/Nov/24/t1259088224uhg4y9f00dk0hnl.htm/, Retrieved Thu, 18 Apr 2024 21:24:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59221, Retrieved Thu, 18 Apr 2024 21:24:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact123

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]
-    D          [Spectral Analysis] [] [2009-11-24 18:41:08] [7dd0431c761b876151627bfbf92230c8] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
90398
90269
90390
88219
87032
87175
92603
93571
94118
92159
89528
89955
89587
89488
88521
86587
85159
84915
91378
92729
92194
89664
86285
86858
87184
86629
85220
84816
84831
84957
90951
92134
91790
86625
83324
82719
83614
81640
78665
77828
75728
72187
79357
81329
77304
75576
72932
74291
74988
73302
70483
69848
66466
67610
75091
76207
73454
72008
71362
74250

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59221&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]3 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=59221&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59221&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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
0.0167 (60)124806842.755437
0.0333 (30)39316710.461485
0.05 (20)5381958.417051
0.0667 (15)8350104.751404
0.0833 (12)113387161.876789
0.1 (10)5269489.694076
0.1167 (8.5714)958908.945007
0.1333 (7.5)369448.047716
0.15 (6.6667)269978.336596
0.1667 (6)95229188.754072
0.1833 (5.4545)2099634.670917
0.2 (5)1516986.464056
0.2167 (4.6154)101280.503569
0.2333 (4.2857)201529.395297
0.25 (4)11057375.628805
0.2667 (3.75)4017377.134944
0.2833 (3.5294)786324.561709
0.3 (3.3333)84796.951126
0.3167 (3.1579)796968.655885
0.3333 (3)7392323.219113
0.35 (2.8571)1239328.769149
0.3667 (2.7273)512936.82818
0.3833 (2.6087)400605.703768
0.4 (2.5)69569.778697
0.4167 (2.4)4124005.147027
0.4333 (2.3077)77546.555863
0.45 (2.2222)162509.425623
0.4667 (2.1429)575762.808197
0.4833 (2.069)212035.40936
0.5 (2)1084727.475899

\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
0.0167 (60) & 124806842.755437 \tabularnewline
0.0333 (30) & 39316710.461485 \tabularnewline
0.05 (20) & 5381958.417051 \tabularnewline
0.0667 (15) & 8350104.751404 \tabularnewline
0.0833 (12) & 113387161.876789 \tabularnewline
0.1 (10) & 5269489.694076 \tabularnewline
0.1167 (8.5714) & 958908.945007 \tabularnewline
0.1333 (7.5) & 369448.047716 \tabularnewline
0.15 (6.6667) & 269978.336596 \tabularnewline
0.1667 (6) & 95229188.754072 \tabularnewline
0.1833 (5.4545) & 2099634.670917 \tabularnewline
0.2 (5) & 1516986.464056 \tabularnewline
0.2167 (4.6154) & 101280.503569 \tabularnewline
0.2333 (4.2857) & 201529.395297 \tabularnewline
0.25 (4) & 11057375.628805 \tabularnewline
0.2667 (3.75) & 4017377.134944 \tabularnewline
0.2833 (3.5294) & 786324.561709 \tabularnewline
0.3 (3.3333) & 84796.951126 \tabularnewline
0.3167 (3.1579) & 796968.655885 \tabularnewline
0.3333 (3) & 7392323.219113 \tabularnewline
0.35 (2.8571) & 1239328.769149 \tabularnewline
0.3667 (2.7273) & 512936.82818 \tabularnewline
0.3833 (2.6087) & 400605.703768 \tabularnewline
0.4 (2.5) & 69569.778697 \tabularnewline
0.4167 (2.4) & 4124005.147027 \tabularnewline
0.4333 (2.3077) & 77546.555863 \tabularnewline
0.45 (2.2222) & 162509.425623 \tabularnewline
0.4667 (2.1429) & 575762.808197 \tabularnewline
0.4833 (2.069) & 212035.40936 \tabularnewline
0.5 (2) & 1084727.475899 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59221&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]0.0167 (60)[/C][C]124806842.755437[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]39316710.461485[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]5381958.417051[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]8350104.751404[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]113387161.876789[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]5269489.694076[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]958908.945007[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]369448.047716[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]269978.336596[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]95229188.754072[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]2099634.670917[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]1516986.464056[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]101280.503569[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]201529.395297[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]11057375.628805[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]4017377.134944[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]786324.561709[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]84796.951126[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]796968.655885[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]7392323.219113[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]1239328.769149[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]512936.82818[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]400605.703768[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]69569.778697[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]4124005.147027[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]77546.555863[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]162509.425623[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]575762.808197[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]212035.40936[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1084727.475899[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59221&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59221&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
0.0167 (60)124806842.755437
0.0333 (30)39316710.461485
0.05 (20)5381958.417051
0.0667 (15)8350104.751404
0.0833 (12)113387161.876789
0.1 (10)5269489.694076
0.1167 (8.5714)958908.945007
0.1333 (7.5)369448.047716
0.15 (6.6667)269978.336596
0.1667 (6)95229188.754072
0.1833 (5.4545)2099634.670917
0.2 (5)1516986.464056
0.2167 (4.6154)101280.503569
0.2333 (4.2857)201529.395297
0.25 (4)11057375.628805
0.2667 (3.75)4017377.134944
0.2833 (3.5294)786324.561709
0.3 (3.3333)84796.951126
0.3167 (3.1579)796968.655885
0.3333 (3)7392323.219113
0.35 (2.8571)1239328.769149
0.3667 (2.7273)512936.82818
0.3833 (2.6087)400605.703768
0.4 (2.5)69569.778697
0.4167 (2.4)4124005.147027
0.4333 (2.3077)77546.555863
0.45 (2.2222)162509.425623
0.4667 (2.1429)575762.808197
0.4833 (2.069)212035.40936
0.5 (2)1084727.475899


Figures (Output of Computation)

Input Parameters & R Code

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):
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')