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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, 03 Dec 2009 11:25:52 -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/03/t1259864841x336i6sklvz4qgw.htm/, Retrieved Sat, 20 Apr 2024 11:20:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=63033, Retrieved Sat, 20 Apr 2024 11:20:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact114

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] [] [2009-11-27 13:46:28] [023d83ebdf42a2acf423907b4076e8a1]
- R P           [Spectral Analysis] [] [2009-11-27 14:27:00] [023d83ebdf42a2acf423907b4076e8a1]
- R P               [Spectral Analysis] [] [2009-12-03 18:25:52] [9f6463b67b1eb7bae5c03a796abf0348] [Current]
- RMP                 [(Partial) Autocorrelation Function] [] [2009-12-03 18:47:03] [023d83ebdf42a2acf423907b4076e8a1]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
12.610
10.862
52.929
56.902
81.776
87.876
82.103
72.846
60.632
33.521
15.342
7.758
8.668
13.082
38.157
58.263
81.153
88.476
72.329
75.845
61.108
37.665
12.755
2.793
12.935
19.533
33.404
52.074
70.735
69.702
61.656
82.993
53.990
32.283
15.686
2.713
12.842
19.244
48.488
54.464
84.192
84.458
85.793
75.163
68.212
49.233
24.302
5.402
15.058
33.559
70.358
85.934
94.452
129.305
113.882
107.256
94.274
57.842
26.611
14.521

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63033&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]1 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=63033&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63033&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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)0.3
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)0.021677
0.0417 (24)0.033568
0.0625 (16)0.051746
0.0833 (12)0.015739
0.1042 (9.6)0.047137
0.125 (8)0.077052
0.1458 (6.8571)0.231312
0.1667 (6)0.245622
0.1875 (5.3333)0.304907
0.2083 (4.8)1.034828
0.2292 (4.3636)1.005682
0.25 (4)0.48398
0.2708 (3.6923)0.966149
0.2917 (3.4286)1.508035
0.3125 (3.2)2.024729
0.3333 (3)0.195405
0.3542 (2.8235)1.22264
0.375 (2.6667)0.08113
0.3958 (2.5263)0.118764
0.4167 (2.4)0.536189
0.4375 (2.2857)2.080656
0.4583 (2.1818)1.237481
0.4792 (2.087)1.85863
0.5 (2)0.049728

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 0.3 \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
0.0208 (48) & 0.021677 \tabularnewline
0.0417 (24) & 0.033568 \tabularnewline
0.0625 (16) & 0.051746 \tabularnewline
0.0833 (12) & 0.015739 \tabularnewline
0.1042 (9.6) & 0.047137 \tabularnewline
0.125 (8) & 0.077052 \tabularnewline
0.1458 (6.8571) & 0.231312 \tabularnewline
0.1667 (6) & 0.245622 \tabularnewline
0.1875 (5.3333) & 0.304907 \tabularnewline
0.2083 (4.8) & 1.034828 \tabularnewline
0.2292 (4.3636) & 1.005682 \tabularnewline
0.25 (4) & 0.48398 \tabularnewline
0.2708 (3.6923) & 0.966149 \tabularnewline
0.2917 (3.4286) & 1.508035 \tabularnewline
0.3125 (3.2) & 2.024729 \tabularnewline
0.3333 (3) & 0.195405 \tabularnewline
0.3542 (2.8235) & 1.22264 \tabularnewline
0.375 (2.6667) & 0.08113 \tabularnewline
0.3958 (2.5263) & 0.118764 \tabularnewline
0.4167 (2.4) & 0.536189 \tabularnewline
0.4375 (2.2857) & 2.080656 \tabularnewline
0.4583 (2.1818) & 1.237481 \tabularnewline
0.4792 (2.087) & 1.85863 \tabularnewline
0.5 (2) & 0.049728 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=63033&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]0.3[/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]0.0208 (48)[/C][C]0.021677[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]0.033568[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]0.051746[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]0.015739[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]0.047137[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]0.077052[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]0.231312[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]0.245622[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]0.304907[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]1.034828[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]1.005682[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]0.48398[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]0.966149[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]1.508035[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]2.024729[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0.195405[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]1.22264[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]0.08113[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]0.118764[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]0.536189[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]2.080656[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]1.237481[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]1.85863[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.049728[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=63033&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=63033&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)0.3
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)0.021677
0.0417 (24)0.033568
0.0625 (16)0.051746
0.0833 (12)0.015739
0.1042 (9.6)0.047137
0.125 (8)0.077052
0.1458 (6.8571)0.231312
0.1667 (6)0.245622
0.1875 (5.3333)0.304907
0.2083 (4.8)1.034828
0.2292 (4.3636)1.005682
0.25 (4)0.48398
0.2708 (3.6923)0.966149
0.2917 (3.4286)1.508035
0.3125 (3.2)2.024729
0.3333 (3)0.195405
0.3542 (2.8235)1.22264
0.375 (2.6667)0.08113
0.3958 (2.5263)0.118764
0.4167 (2.4)0.536189
0.4375 (2.2857)2.080656
0.4583 (2.1818)1.237481
0.4792 (2.087)1.85863
0.5 (2)0.049728


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.3 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 0.3 ; 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')