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Author's title

Author

*The author of this computation has been verified*

R Software Module

rwasp_spectrum.wasp

Title produced by software

Spectral Analysis

Date of computation

Mon, 27 Dec 2010 08:54:38 +0000

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/2010/Dec/27/t1293439977lxh7cflq35vn2hd.htm/, Retrieved Mon, 06 May 2024 20:53:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115858, Retrieved Mon, 06 May 2024 20:53:40 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

D=0 en d=2

Estimated Impact

186

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [Spectral Analysis] [spectraal analyse] [2010-12-16 10:56:06] [d4d7f64064e581afd5f11cb27d8ab03c]
-   PD      [Spectral Analysis] [spectraal analyse] [2010-12-27 08:54:38] [ea05999e24dc6223e14cc730e7a15b1e] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

9119000
9166000
9218000
9283000
9367000
9448000
9508000
9557000
9590000
9613000
9638000
9673000
9709000
9738000
9768000
9795000
9811000
9822000
9830000
9837000
9847000
9852000
9856000
9856000
9853000
9858000
9862000
9870000
9902000
9938000
9967400
10004500
10045000
10084500
10115600
10136800
10157000
10181000
10203000
10226000
10252000
10287000
10333000
10376080.14
10421120.61
10478650
10547958
10625700
10708433
10788760

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115858&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]2 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=115858&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115858&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Raw Periodogram
Parameter	Value
Box-Cox transformation parameter (lambda)	1
Degree of non-seasonal differencing (d)	2
Degree of seasonal differencing (D)	0
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0208 (48)	20037479.849134
0.0417 (24)	113898998.679403
0.0625 (16)	161838179.799723
0.0833 (12)	64189464.219805
0.1042 (9.6)	123478354.37552
0.125 (8)	138487409.756274
0.1458 (6.8571)	95608268.090936
0.1667 (6)	70141040.798249
0.1875 (5.3333)	59457378.537204
0.2083 (4.8)	65177159.817462
0.2292 (4.3636)	123096256.811328
0.25 (4)	36485957.022747
0.2708 (3.6923)	14030722.963736
0.2917 (3.4286)	193945885.62902
0.3125 (3.2)	469653.127396
0.3333 (3)	44951868.779522
0.3542 (2.8235)	56867951.377758
0.375 (2.6667)	80243151.890873
0.3958 (2.5263)	10646934.776919
0.4167 (2.4)	2275674.276198
0.4375 (2.2857)	1519320.100149
0.4583 (2.1818)	8690854.694216
0.4792 (2.087)	436952.431815
0.5 (2)	540218.517774

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 2 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0208 (48) & 20037479.849134 \tabularnewline
0.0417 (24) & 113898998.679403 \tabularnewline
0.0625 (16) & 161838179.799723 \tabularnewline
0.0833 (12) & 64189464.219805 \tabularnewline
0.1042 (9.6) & 123478354.37552 \tabularnewline
0.125 (8) & 138487409.756274 \tabularnewline
0.1458 (6.8571) & 95608268.090936 \tabularnewline
0.1667 (6) & 70141040.798249 \tabularnewline
0.1875 (5.3333) & 59457378.537204 \tabularnewline
0.2083 (4.8) & 65177159.817462 \tabularnewline
0.2292 (4.3636) & 123096256.811328 \tabularnewline
0.25 (4) & 36485957.022747 \tabularnewline
0.2708 (3.6923) & 14030722.963736 \tabularnewline
0.2917 (3.4286) & 193945885.62902 \tabularnewline
0.3125 (3.2) & 469653.127396 \tabularnewline
0.3333 (3) & 44951868.779522 \tabularnewline
0.3542 (2.8235) & 56867951.377758 \tabularnewline
0.375 (2.6667) & 80243151.890873 \tabularnewline
0.3958 (2.5263) & 10646934.776919 \tabularnewline
0.4167 (2.4) & 2275674.276198 \tabularnewline
0.4375 (2.2857) & 1519320.100149 \tabularnewline
0.4583 (2.1818) & 8690854.694216 \tabularnewline
0.4792 (2.087) & 436952.431815 \tabularnewline
0.5 (2) & 540218.517774 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115858&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]2[/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]0.0208 (48)[/C][C]20037479.849134[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]113898998.679403[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]161838179.799723[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]64189464.219805[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]123478354.37552[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]138487409.756274[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]95608268.090936[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]70141040.798249[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]59457378.537204[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]65177159.817462[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]123096256.811328[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]36485957.022747[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]14030722.963736[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]193945885.62902[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]469653.127396[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]44951868.779522[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]56867951.377758[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]80243151.890873[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]10646934.776919[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2275674.276198[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]1519320.100149[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]8690854.694216[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]436952.431815[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]540218.517774[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115858&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115858&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)	1
Degree of non-seasonal differencing (d)	2
Degree of seasonal differencing (D)	0
Seasonal Period (s)	12
Frequency (Period)	Spectrum
0.0208 (48)	20037479.849134
0.0417 (24)	113898998.679403
0.0625 (16)	161838179.799723
0.0833 (12)	64189464.219805
0.1042 (9.6)	123478354.37552
0.125 (8)	138487409.756274
0.1458 (6.8571)	95608268.090936
0.1667 (6)	70141040.798249
0.1875 (5.3333)	59457378.537204
0.2083 (4.8)	65177159.817462
0.2292 (4.3636)	123096256.811328
0.25 (4)	36485957.022747
0.2708 (3.6923)	14030722.963736
0.2917 (3.4286)	193945885.62902
0.3125 (3.2)	469653.127396
0.3333 (3)	44951868.779522
0.3542 (2.8235)	56867951.377758
0.375 (2.6667)	80243151.890873
0.3958 (2.5263)	10646934.776919
0.4167 (2.4)	2275674.276198
0.4375 (2.2857)	1519320.100149
0.4583 (2.1818)	8690854.694216
0.4792 (2.087)	436952.431815
0.5 (2)	540218.517774

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = 2 ; par3 = 0 ; par4 = 12 ;

Parameters (R input):

par1 = 1 ; par2 = 2 ; 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code