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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 computationSat, 11 Dec 2010 13:44:53 +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/11/t1292074983iz2cxmvm6xjlesl.htm/, Retrieved Mon, 06 May 2024 12:23:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=108154, Retrieved Mon, 06 May 2024 12:23:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact143

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] [paper] [2007-12-11 21:01:08] [b3bb3ec527e23fa7d74d4348b38c8499]
- RMPD  [Univariate Explorative Data Analysis] [PAPER] [2009-12-30 15:50:30] [23722951c28e05bb35cc9a97084fe0d9]
- RMPD    [(Partial) Autocorrelation Function] [Paper ACF] [2010-12-11 12:03:59] [6e6854a111a7f2438dd668bfaa6f3aa0]
- RM          [Spectral Analysis] [Paper Spectraal] [2010-12-11 13:44:53] [81b44bf7e2a3251743773b0d7e91dd87] [Current]
- RM            [ARIMA Backward Selection] [Paper Arima backward] [2010-12-11 14:34:06] [6e6854a111a7f2438dd668bfaa6f3aa0]
- RM D          [Central Tendency] [Paper robustness ...] [2010-12-11 14:54:55] [6e6854a111a7f2438dd668bfaa6f3aa0]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
172
150.6
163.3
153.7
152.9
135.5
148.5
148.4
133.6
194.1
208.6
197.3
164.4
148.1
152
144.1
155
124.5
153
146
138
190
192
192
147
133
163
150
129
131
145
137
138
168
176
188
139
143
150
154
137
129
128
140
143
151
177
184
151
134
164
126
131
125
127
143
143
160
190
182
138
136
152
127
151
130
119
153

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108154&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108154&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108154&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24






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
0.0139 (72)26.023681
0.0278 (36)124.733919
0.0417 (24)170.516818
0.0556 (18)171.542344
0.0694 (14.4)185.379043
0.0833 (12)7121.904682
0.0972 (10.2857)68.392062
0.1111 (9)782.026147
0.125 (8)332.479993
0.1389 (7.2)93.00273
0.1528 (6.5455)67.950218
0.1667 (6)2127.778936
0.1806 (5.5385)138.17659
0.1944 (5.1429)100.39434
0.2083 (4.8)138.323094
0.2222 (4.5)38.930507
0.2361 (4.2353)261.710466
0.25 (4)1855.434329
0.2639 (3.7895)24.308973
0.2778 (3.6)84.392863
0.2917 (3.4286)87.086159
0.3056 (3.2727)110.494257
0.3194 (3.1304)90.287338
0.3333 (3)47.606597
0.3472 (2.88)650.712556
0.3611 (2.7692)7.229736
0.375 (2.6667)46.088192
0.3889 (2.5714)38.495196
0.4028 (2.4828)14.035484
0.4167 (2.4)638.463361
0.4306 (2.3226)99.548498
0.4444 (2.25)102.734295
0.4583 (2.1818)46.027486
0.4722 (2.1176)64.857799
0.4861 (2.0571)75.346564
0.5 (2)0.963139

\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
0.0139 (72) & 26.023681 \tabularnewline
0.0278 (36) & 124.733919 \tabularnewline
0.0417 (24) & 170.516818 \tabularnewline
0.0556 (18) & 171.542344 \tabularnewline
0.0694 (14.4) & 185.379043 \tabularnewline
0.0833 (12) & 7121.904682 \tabularnewline
0.0972 (10.2857) & 68.392062 \tabularnewline
0.1111 (9) & 782.026147 \tabularnewline
0.125 (8) & 332.479993 \tabularnewline
0.1389 (7.2) & 93.00273 \tabularnewline
0.1528 (6.5455) & 67.950218 \tabularnewline
0.1667 (6) & 2127.778936 \tabularnewline
0.1806 (5.5385) & 138.17659 \tabularnewline
0.1944 (5.1429) & 100.39434 \tabularnewline
0.2083 (4.8) & 138.323094 \tabularnewline
0.2222 (4.5) & 38.930507 \tabularnewline
0.2361 (4.2353) & 261.710466 \tabularnewline
0.25 (4) & 1855.434329 \tabularnewline
0.2639 (3.7895) & 24.308973 \tabularnewline
0.2778 (3.6) & 84.392863 \tabularnewline
0.2917 (3.4286) & 87.086159 \tabularnewline
0.3056 (3.2727) & 110.494257 \tabularnewline
0.3194 (3.1304) & 90.287338 \tabularnewline
0.3333 (3) & 47.606597 \tabularnewline
0.3472 (2.88) & 650.712556 \tabularnewline
0.3611 (2.7692) & 7.229736 \tabularnewline
0.375 (2.6667) & 46.088192 \tabularnewline
0.3889 (2.5714) & 38.495196 \tabularnewline
0.4028 (2.4828) & 14.035484 \tabularnewline
0.4167 (2.4) & 638.463361 \tabularnewline
0.4306 (2.3226) & 99.548498 \tabularnewline
0.4444 (2.25) & 102.734295 \tabularnewline
0.4583 (2.1818) & 46.027486 \tabularnewline
0.4722 (2.1176) & 64.857799 \tabularnewline
0.4861 (2.0571) & 75.346564 \tabularnewline
0.5 (2) & 0.963139 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=108154&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]0.0139 (72)[/C][C]26.023681[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]124.733919[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]170.516818[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]171.542344[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]185.379043[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]7121.904682[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]68.392062[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]782.026147[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]332.479993[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]93.00273[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]67.950218[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]2127.778936[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]138.17659[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]100.39434[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]138.323094[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]38.930507[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]261.710466[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1855.434329[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]24.308973[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]84.392863[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]87.086159[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]110.494257[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]90.287338[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]47.606597[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]650.712556[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]7.229736[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]46.088192[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]38.495196[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]14.035484[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]638.463361[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]99.548498[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]102.734295[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]46.027486[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]64.857799[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]75.346564[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.963139[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=108154&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=108154&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
0.0139 (72)26.023681
0.0278 (36)124.733919
0.0417 (24)170.516818
0.0556 (18)171.542344
0.0694 (14.4)185.379043
0.0833 (12)7121.904682
0.0972 (10.2857)68.392062
0.1111 (9)782.026147
0.125 (8)332.479993
0.1389 (7.2)93.00273
0.1528 (6.5455)67.950218
0.1667 (6)2127.778936
0.1806 (5.5385)138.17659
0.1944 (5.1429)100.39434
0.2083 (4.8)138.323094
0.2222 (4.5)38.930507
0.2361 (4.2353)261.710466
0.25 (4)1855.434329
0.2639 (3.7895)24.308973
0.2778 (3.6)84.392863
0.2917 (3.4286)87.086159
0.3056 (3.2727)110.494257
0.3194 (3.1304)90.287338
0.3333 (3)47.606597
0.3472 (2.88)650.712556
0.3611 (2.7692)7.229736
0.375 (2.6667)46.088192
0.3889 (2.5714)38.495196
0.4028 (2.4828)14.035484
0.4167 (2.4)638.463361
0.4306 (2.3226)99.548498
0.4444 (2.25)102.734295
0.4583 (2.1818)46.027486
0.4722 (2.1176)64.857799
0.4861 (2.0571)75.346564
0.5 (2)0.963139


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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')