FreeStatistics.org

Free Statistics

of Irreproducible Research!

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, 16 Dec 2016 15:14:12 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/16/t1481897660wgamwq9e3fklb9u.htm/, Retrieved Fri, 03 May 2024 00:14:29 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300296, Retrieved Fri, 03 May 2024 00:14:29 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact60

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [ARIMA Backward Selection] [] [2016-12-16 13:36:55] [683f400e1b95307fc738e729f07c4fce]
- RM D    [Spectral Analysis] [] [2016-12-16 14:14:12] [404ac5ee4f7301873f6a96ef36861981] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
3530
3440
3120
3420
3680
3710
3940
3600
3970
4040
4060
3760
4070
4130
4080
4420
4530
4710
5070
5470
5520
5980
6340
6170
6170
6670
7310
7330
6430
6750
7500
7930
8210
7640
7720
7290
7430
8130
8180
8230
8420

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300296&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300296&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300296&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






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)1
Frequency (Period)Spectrum
0.025 (40)44105.711405
0.05 (20)64709.045388
0.075 (13.3333)28522.22219
0.1 (10)28618.250603
0.125 (8)66029.17517
0.15 (6.6667)233882.099008
0.175 (5.7143)420875.256803
0.2 (5)160095.287225
0.225 (4.4444)256544.123894
0.25 (4)149311.789911
0.275 (3.6364)247995.792888
0.3 (3.3333)29785.281635
0.325 (3.0769)98316.052258
0.35 (2.8571)56130.997777
0.375 (2.6667)98384.853151
0.4 (2.5)82646.354053
0.425 (2.3529)185075.711484
0.45 (2.2222)82930.95951
0.475 (2.1053)42492.707346
0.5 (2)31737.253777

\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) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.025 (40) & 44105.711405 \tabularnewline
0.05 (20) & 64709.045388 \tabularnewline
0.075 (13.3333) & 28522.22219 \tabularnewline
0.1 (10) & 28618.250603 \tabularnewline
0.125 (8) & 66029.17517 \tabularnewline
0.15 (6.6667) & 233882.099008 \tabularnewline
0.175 (5.7143) & 420875.256803 \tabularnewline
0.2 (5) & 160095.287225 \tabularnewline
0.225 (4.4444) & 256544.123894 \tabularnewline
0.25 (4) & 149311.789911 \tabularnewline
0.275 (3.6364) & 247995.792888 \tabularnewline
0.3 (3.3333) & 29785.281635 \tabularnewline
0.325 (3.0769) & 98316.052258 \tabularnewline
0.35 (2.8571) & 56130.997777 \tabularnewline
0.375 (2.6667) & 98384.853151 \tabularnewline
0.4 (2.5) & 82646.354053 \tabularnewline
0.425 (2.3529) & 185075.711484 \tabularnewline
0.45 (2.2222) & 82930.95951 \tabularnewline
0.475 (2.1053) & 42492.707346 \tabularnewline
0.5 (2) & 31737.253777 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300296&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]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]44105.711405[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]64709.045388[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]28522.22219[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]28618.250603[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]66029.17517[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]233882.099008[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]420875.256803[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]160095.287225[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]256544.123894[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]149311.789911[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]247995.792888[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]29785.281635[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]98316.052258[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]56130.997777[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]98384.853151[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]82646.354053[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]185075.711484[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]82930.95951[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]42492.707346[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]31737.253777[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300296&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300296&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)1
Frequency (Period)Spectrum
0.025 (40)44105.711405
0.05 (20)64709.045388
0.075 (13.3333)28522.22219
0.1 (10)28618.250603
0.125 (8)66029.17517
0.15 (6.6667)233882.099008
0.175 (5.7143)420875.256803
0.2 (5)160095.287225
0.225 (4.4444)256544.123894
0.25 (4)149311.789911
0.275 (3.6364)247995.792888
0.3 (3.3333)29785.281635
0.325 (3.0769)98316.052258
0.35 (2.8571)56130.997777
0.375 (2.6667)98384.853151
0.4 (2.5)82646.354053
0.425 (2.3529)185075.711484
0.45 (2.2222)82930.95951
0.475 (2.1053)42492.707346
0.5 (2)31737.253777


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = FALSE ; par2 = 1 ; par3 = 2 ; par4 = 0 ; par5 = 1 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 0 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 1 ;
R code (references can be found in the software module):
par4 <- '1'
par3 <- '0'
par2 <- '2'
par1 <- '1'
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')