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 17:54:26 +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/t14819072752pxdr4atgvn8hky.htm/, Retrieved Thu, 02 May 2024 14:26:41 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300450, Retrieved Thu, 02 May 2024 14:26:41 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact61

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]
-    D  [ARIMA Backward Selection] [] [2016-12-16 14:17:56] [683f400e1b95307fc738e729f07c4fce]
- R  D    [ARIMA Backward Selection] [] [2016-12-16 14:51:40] [683f400e1b95307fc738e729f07c4fce]
- RM D        [Spectral Analysis] [] [2016-12-16 16:54:26] [404ac5ee4f7301873f6a96ef36861981] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2931
3626
4098
3473
3606
4174
4451
3321
3678
4583
5062
5028
5592
6210
6568
5836
6424
6452
6480
2493
2738
2939
3094
2750
2874
3239
3247
2496
2363
2397
2666
2365
2870
2783
2664
1979

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=300450&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=300450&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300450&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)12
Frequency (Period)Spectrum
0.0278 (36)211583.808443
0.0556 (18)1045740.877739
0.0833 (12)646122.68277
0.1111 (9)571603.211196
0.1389 (7.2)446476.241678
0.1667 (6)421688.258727
0.1944 (5.1429)462093.665439
0.2222 (4.5)507584.792182
0.25 (4)3789148.114305
0.2778 (3.6)586674.52068
0.3056 (3.2727)117974.616897
0.3333 (3)659962.257284
0.3611 (2.7692)177263.075558
0.3889 (2.5714)199429.745605
0.4167 (2.4)794137.814777
0.4444 (2.25)457954.299338
0.4722 (2.1176)511850.83873
0.5 (2)2858970.729926

\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
0.0278 (36) & 211583.808443 \tabularnewline
0.0556 (18) & 1045740.877739 \tabularnewline
0.0833 (12) & 646122.68277 \tabularnewline
0.1111 (9) & 571603.211196 \tabularnewline
0.1389 (7.2) & 446476.241678 \tabularnewline
0.1667 (6) & 421688.258727 \tabularnewline
0.1944 (5.1429) & 462093.665439 \tabularnewline
0.2222 (4.5) & 507584.792182 \tabularnewline
0.25 (4) & 3789148.114305 \tabularnewline
0.2778 (3.6) & 586674.52068 \tabularnewline
0.3056 (3.2727) & 117974.616897 \tabularnewline
0.3333 (3) & 659962.257284 \tabularnewline
0.3611 (2.7692) & 177263.075558 \tabularnewline
0.3889 (2.5714) & 199429.745605 \tabularnewline
0.4167 (2.4) & 794137.814777 \tabularnewline
0.4444 (2.25) & 457954.299338 \tabularnewline
0.4722 (2.1176) & 511850.83873 \tabularnewline
0.5 (2) & 2858970.729926 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300450&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]0.0278 (36)[/C][C]211583.808443[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]1045740.877739[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]646122.68277[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]571603.211196[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]446476.241678[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]421688.258727[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]462093.665439[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]507584.792182[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]3789148.114305[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]586674.52068[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]117974.616897[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]659962.257284[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]177263.075558[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]199429.745605[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]794137.814777[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]457954.299338[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]511850.83873[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2858970.729926[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300450&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300450&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
0.0278 (36)211583.808443
0.0556 (18)1045740.877739
0.0833 (12)646122.68277
0.1111 (9)571603.211196
0.1389 (7.2)446476.241678
0.1667 (6)421688.258727
0.1944 (5.1429)462093.665439
0.2222 (4.5)507584.792182
0.25 (4)3789148.114305
0.2778 (3.6)586674.52068
0.3056 (3.2727)117974.616897
0.3333 (3)659962.257284
0.3611 (2.7692)177263.075558
0.3889 (2.5714)199429.745605
0.4167 (2.4)794137.814777
0.4444 (2.25)457954.299338
0.4722 (2.1176)511850.83873
0.5 (2)2858970.729926


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 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- '1'
par2 <- '1'
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')