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Author

*The author of this computation has been verified*

R Software Module

rwasp_spectrum.wasp

Title produced by software

Spectral Analysis

Date of computation

Fri, 16 Dec 2016 15:42:19 +0100

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/16/t1481899348w7ffp7yt9o0xq95.htm/, Retrieved Thu, 02 May 2024 14:01:54 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300322, Retrieved Thu, 02 May 2024 14:01:54 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

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]
- RM D      [Spectral Analysis] [] [2016-12-16 14:42:19] [404ac5ee4f7301873f6a96ef36861981] [Current]

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big 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=300322&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=300322&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300322&T=0

As an alternative you can also use a 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 Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	-0.1
Degree of non-seasonal differencing (d)	1
Degree of seasonal differencing (D)	0
Seasonal Period (s)	1
Frequency (Period)	Spectrum
0.0111 (90)	3.3e-05
0.0222 (45)	0.000122
0.0333 (30)	1.4e-05
0.0444 (22.5)	0
0.0556 (18)	0.000101
0.0667 (15)	3.5e-05
0.0778 (12.8571)	0.000263
0.0889 (11.25)	4.3e-05
0.1 (10)	8.8e-05
0.1111 (9)	0.000117
0.1222 (8.1818)	0.000169
0.1333 (7.5)	3.1e-05
0.1444 (6.9231)	0.000235
0.1556 (6.4286)	3e-05
0.1667 (6)	0.002026
0.1778 (5.625)	4.1e-05
0.1889 (5.2941)	8.4e-05
0.2 (5)	3.7e-05
0.2111 (4.7368)	7.4e-05
0.2222 (4.5)	6.3e-05
0.2333 (4.2857)	8.4e-05
0.2444 (4.0909)	0.000139
0.2556 (3.913)	0.000169
0.2667 (3.75)	7.4e-05
0.2778 (3.6)	3e-06
0.2889 (3.4615)	0.000246
0.3 (3.3333)	2e-06
0.3111 (3.2143)	0.000168
0.3222 (3.1034)	0.000128
0.3333 (3)	6e-06
0.3444 (2.9032)	0.000123
0.3556 (2.8125)	6.4e-05
0.3667 (2.7273)	1.8e-05
0.3778 (2.6471)	0.000162
0.3889 (2.5714)	9.5e-05
0.4 (2.5)	0.000214
0.4111 (2.4324)	0.000507
0.4222 (2.3684)	0.000323
0.4333 (2.3077)	0.000148
0.4444 (2.25)	6.8e-05
0.4556 (2.1951)	0.00022
0.4667 (2.1429)	9.1e-05
0.4778 (2.093)	0.000406
0.4889 (2.0455)	0.000246
0.5 (2)	0.001638

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & -0.1 \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
0.0111 (90) & 3.3e-05 \tabularnewline
0.0222 (45) & 0.000122 \tabularnewline
0.0333 (30) & 1.4e-05 \tabularnewline
0.0444 (22.5) & 0 \tabularnewline
0.0556 (18) & 0.000101 \tabularnewline
0.0667 (15) & 3.5e-05 \tabularnewline
0.0778 (12.8571) & 0.000263 \tabularnewline
0.0889 (11.25) & 4.3e-05 \tabularnewline
0.1 (10) & 8.8e-05 \tabularnewline
0.1111 (9) & 0.000117 \tabularnewline
0.1222 (8.1818) & 0.000169 \tabularnewline
0.1333 (7.5) & 3.1e-05 \tabularnewline
0.1444 (6.9231) & 0.000235 \tabularnewline
0.1556 (6.4286) & 3e-05 \tabularnewline
0.1667 (6) & 0.002026 \tabularnewline
0.1778 (5.625) & 4.1e-05 \tabularnewline
0.1889 (5.2941) & 8.4e-05 \tabularnewline
0.2 (5) & 3.7e-05 \tabularnewline
0.2111 (4.7368) & 7.4e-05 \tabularnewline
0.2222 (4.5) & 6.3e-05 \tabularnewline
0.2333 (4.2857) & 8.4e-05 \tabularnewline
0.2444 (4.0909) & 0.000139 \tabularnewline
0.2556 (3.913) & 0.000169 \tabularnewline
0.2667 (3.75) & 7.4e-05 \tabularnewline
0.2778 (3.6) & 3e-06 \tabularnewline
0.2889 (3.4615) & 0.000246 \tabularnewline
0.3 (3.3333) & 2e-06 \tabularnewline
0.3111 (3.2143) & 0.000168 \tabularnewline
0.3222 (3.1034) & 0.000128 \tabularnewline
0.3333 (3) & 6e-06 \tabularnewline
0.3444 (2.9032) & 0.000123 \tabularnewline
0.3556 (2.8125) & 6.4e-05 \tabularnewline
0.3667 (2.7273) & 1.8e-05 \tabularnewline
0.3778 (2.6471) & 0.000162 \tabularnewline
0.3889 (2.5714) & 9.5e-05 \tabularnewline
0.4 (2.5) & 0.000214 \tabularnewline
0.4111 (2.4324) & 0.000507 \tabularnewline
0.4222 (2.3684) & 0.000323 \tabularnewline
0.4333 (2.3077) & 0.000148 \tabularnewline
0.4444 (2.25) & 6.8e-05 \tabularnewline
0.4556 (2.1951) & 0.00022 \tabularnewline
0.4667 (2.1429) & 9.1e-05 \tabularnewline
0.4778 (2.093) & 0.000406 \tabularnewline
0.4889 (2.0455) & 0.000246 \tabularnewline
0.5 (2) & 0.001638 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300322&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]-0.1[/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]0.0111 (90)[/C][C]3.3e-05[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]0.000122[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]1.4e-05[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]0[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]0.000101[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]3.5e-05[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]0.000263[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]4.3e-05[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]8.8e-05[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]0.000117[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]0.000169[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]3.1e-05[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]0.000235[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]3e-05[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]0.002026[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]4.1e-05[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]8.4e-05[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]3.7e-05[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]7.4e-05[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]6.3e-05[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]8.4e-05[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]0.000139[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]0.000169[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]7.4e-05[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]3e-06[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]0.000246[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]2e-06[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]0.000168[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]0.000128[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]6e-06[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]0.000123[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]6.4e-05[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]1.8e-05[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]0.000162[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]9.5e-05[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]0.000214[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]0.000507[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]0.000323[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]0.000148[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]6.8e-05[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]0.00022[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]9.1e-05[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]0.000406[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]0.000246[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.001638[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300322&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300322&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	-0.1
Degree of non-seasonal differencing (d)	1
Degree of seasonal differencing (D)	0
Seasonal Period (s)	1
Frequency (Period)	Spectrum
0.0111 (90)	3.3e-05
0.0222 (45)	0.000122
0.0333 (30)	1.4e-05
0.0444 (22.5)	0
0.0556 (18)	0.000101
0.0667 (15)	3.5e-05
0.0778 (12.8571)	0.000263
0.0889 (11.25)	4.3e-05
0.1 (10)	8.8e-05
0.1111 (9)	0.000117
0.1222 (8.1818)	0.000169
0.1333 (7.5)	3.1e-05
0.1444 (6.9231)	0.000235
0.1556 (6.4286)	3e-05
0.1667 (6)	0.002026
0.1778 (5.625)	4.1e-05
0.1889 (5.2941)	8.4e-05
0.2 (5)	3.7e-05
0.2111 (4.7368)	7.4e-05
0.2222 (4.5)	6.3e-05
0.2333 (4.2857)	8.4e-05
0.2444 (4.0909)	0.000139
0.2556 (3.913)	0.000169
0.2667 (3.75)	7.4e-05
0.2778 (3.6)	3e-06
0.2889 (3.4615)	0.000246
0.3 (3.3333)	2e-06
0.3111 (3.2143)	0.000168
0.3222 (3.1034)	0.000128
0.3333 (3)	6e-06
0.3444 (2.9032)	0.000123
0.3556 (2.8125)	6.4e-05
0.3667 (2.7273)	1.8e-05
0.3778 (2.6471)	0.000162
0.3889 (2.5714)	9.5e-05
0.4 (2.5)	0.000214
0.4111 (2.4324)	0.000507
0.4222 (2.3684)	0.000323
0.4333 (2.3077)	0.000148
0.4444 (2.25)	6.8e-05
0.4556 (2.1951)	0.00022
0.4667 (2.1429)	9.1e-05
0.4778 (2.093)	0.000406
0.4889 (2.0455)	0.000246
0.5 (2)	0.001638

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = FALSE ; par2 = 1 ; par3 = 2 ; par4 = 0 ; par5 = 1 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 0 ;

Parameters (R input):

par1 = -0.1 ; par2 = 1 ; par3 = 0 ; par4 = 1 ;

R code (references can be found in the software module):

par4 <- '1'
par3 <- '0'
par2 <- '0'
par1 <- '-0.1'
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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code