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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 computationMon, 15 Dec 2008 13:50:37 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/15/t12293742762al53cy8uia9kry.htm/, Retrieved Fri, 03 May 2024 12:24:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33818, Retrieved Fri, 03 May 2024 12:24:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact242

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
F RMP   [(Partial) Autocorrelation Function] [Taak 10 Stap 2 AC...] [2008-12-03 15:12:42] [6fea0e9a9b3b29a63badf2c274e82506]
-    D    [(Partial) Autocorrelation Function] [Taak 10 Stap 2 AC...] [2008-12-04 18:21:05] [819b576fab25b35cfda70f80599828ec]
F           [(Partial) Autocorrelation Function] [stap 2] [2008-12-08 16:33:12] [74be16979710d4c4e7c6647856088456]
-   P         [(Partial) Autocorrelation Function] [Verbetering ACF s...] [2008-12-15 20:47:34] [bc937651ef42bf891200cf0e0edc7238]
- RMP             [Spectral Analysis] [Verbetering SA st...] [2008-12-15 20:50:37] [21d7d81e7693ad6dde5aadefb1046611] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
58.972
59.249
63.955
53.785
52.760
44.795
37.348
32.370
32.717
40.974
33.591
21.124
58.608
46.865
51.378
46.235
47.206
45.382
41.227
33.795
31.295
42.625
33.625
21.538
56.421
53.152
53.536
52.408
41.454
38.271
35.306
26.414
31.917
38.030
27.534
18.387
50.556
43.901
48.572
43.899
37.532
40.357
35.489
29.027
34.485
42.598
30.306
26.451
47.460
50.104
61.465
53.726
39.477
43.895
31.481
29.896
33.842
39.120
33.702
25.094

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33818&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33818&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33818&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'Gwilym Jenkins' @ 72.249.127.135






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)0.323247
0.0417 (24)26.175666
0.0625 (16)2.881063
0.0833 (12)0.380139
0.1042 (9.6)2.505318
0.125 (8)57.285338
0.1458 (6.8571)6.92519
0.1667 (6)9.745845
0.1875 (5.3333)0.436757
0.2083 (4.8)67.290794
0.2292 (4.3636)1.245244
0.25 (4)18.59385
0.2708 (3.6923)6.420492
0.2917 (3.4286)6.951566
0.3125 (3.2)17.223419
0.3333 (3)53.257786
0.3542 (2.8235)90.67007
0.375 (2.6667)0.87525
0.3958 (2.5263)52.042462
0.4167 (2.4)9.340107
0.4375 (2.2857)7.909001
0.4583 (2.1818)98.7883
0.4792 (2.087)10.012686
0.5 (2)99.581888

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0208 (48) & 0.323247 \tabularnewline
0.0417 (24) & 26.175666 \tabularnewline
0.0625 (16) & 2.881063 \tabularnewline
0.0833 (12) & 0.380139 \tabularnewline
0.1042 (9.6) & 2.505318 \tabularnewline
0.125 (8) & 57.285338 \tabularnewline
0.1458 (6.8571) & 6.92519 \tabularnewline
0.1667 (6) & 9.745845 \tabularnewline
0.1875 (5.3333) & 0.436757 \tabularnewline
0.2083 (4.8) & 67.290794 \tabularnewline
0.2292 (4.3636) & 1.245244 \tabularnewline
0.25 (4) & 18.59385 \tabularnewline
0.2708 (3.6923) & 6.420492 \tabularnewline
0.2917 (3.4286) & 6.951566 \tabularnewline
0.3125 (3.2) & 17.223419 \tabularnewline
0.3333 (3) & 53.257786 \tabularnewline
0.3542 (2.8235) & 90.67007 \tabularnewline
0.375 (2.6667) & 0.87525 \tabularnewline
0.3958 (2.5263) & 52.042462 \tabularnewline
0.4167 (2.4) & 9.340107 \tabularnewline
0.4375 (2.2857) & 7.909001 \tabularnewline
0.4583 (2.1818) & 98.7883 \tabularnewline
0.4792 (2.087) & 10.012686 \tabularnewline
0.5 (2) & 99.581888 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33818&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]1[/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]0.323247[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]26.175666[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]2.881063[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]0.380139[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]2.505318[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]57.285338[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]6.92519[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]9.745845[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]0.436757[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]67.290794[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]1.245244[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]18.59385[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]6.420492[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]6.951566[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]17.223419[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]53.257786[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]90.67007[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]0.87525[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]52.042462[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]9.340107[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]7.909001[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]98.7883[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]10.012686[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]99.581888[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33818&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33818&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0208 (48)0.323247
0.0417 (24)26.175666
0.0625 (16)2.881063
0.0833 (12)0.380139
0.1042 (9.6)2.505318
0.125 (8)57.285338
0.1458 (6.8571)6.92519
0.1667 (6)9.745845
0.1875 (5.3333)0.436757
0.2083 (4.8)67.290794
0.2292 (4.3636)1.245244
0.25 (4)18.59385
0.2708 (3.6923)6.420492
0.2917 (3.4286)6.951566
0.3125 (3.2)17.223419
0.3333 (3)53.257786
0.3542 (2.8235)90.67007
0.375 (2.6667)0.87525
0.3958 (2.5263)52.042462
0.4167 (2.4)9.340107
0.4375 (2.2857)7.909001
0.4583 (2.1818)98.7883
0.4792 (2.087)10.012686
0.5 (2)99.581888


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 1 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 1 ; 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')