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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 computationFri, 24 Dec 2010 12:00:25 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/24/t12931918763nx88scm879a5xq.htm/, Retrieved Thu, 12 Feb 2026 04:15:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114789, Retrieved Thu, 12 Feb 2026 04:15:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact396

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Kendall tau Correlation Matrix] [] [2010-12-05 17:44:33] [b98453cac15ba1066b407e146608df68]
- RMPD  [Kendall tau Correlation Matrix] [WS 10 - Pearson c...] [2010-12-10 16:13:49] [033eb2749a430605d9b2be7c4aac4a0c]
-         [Kendall tau Correlation Matrix] [] [2010-12-13 18:15:16] [d7b28a0391ab3b2ddc9f9fba95a43f33]
- RMPD        [Spectral Analysis] [] [2010-12-24 12:00:25] [a75ee4dff32cc2c5ca1525a5910b53eb] [Current]
-    D          [Spectral Analysis] [periodogram paper...] [2011-12-15 15:44:14] [63813c3109753b730d344072266dee79]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
5.715
4.575
4.621
4.413
4.280
4.024
4.336
4.144
3.764
4.248
4.215
4.871
4.946
4.490
4.851
4.591
4.279
4.191
4.285
4.516
4.197
4.404
4.373
5.307
5.320
4.356
4.484
4.210
4.018
3.912
3.972
3.886
3.892
4.242
4.134
4.743

5.116
4.823
5.489
4.263
4.221
4.076
3.715
3.715
3.784
4.141
3.968
4.767
5.019
4.343
4.853
4.154
4.035
3.996
4.734
3.778
3.887
3.953
3.987
4.436
4.803
4.672
4.560
4.289
3.961
3.943
3.932
3.816
3.834
4.130
4.467
4.447

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'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
R Framework error message & 
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114789&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[ROW][C]R Framework error message[/C][C]
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.
[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114789&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114789&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'Sir Ronald Aylmer Fisher' @ 193.190.124.24
R Framework error message
Warning: there are blank lines in the 'Data' field.
Please, use NA for missing data - blank lines are simply
 deleted and are NOT treated as missing values.






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)0.037758
0.0278 (36)0.094559
0.0417 (24)0.132887
0.0556 (18)0.133862
0.0694 (14.4)0.383291
0.0833 (12)3.204319
0.0972 (10.2857)0.040993
0.1111 (9)0.021389
0.125 (8)0.20138
0.1389 (7.2)0.123513
0.1528 (6.5455)0.045939
0.1667 (6)0.296599
0.1806 (5.5385)0.003701
0.1944 (5.1429)0.056424
0.2083 (4.8)0.008349
0.2222 (4.5)0.073554
0.2361 (4.2353)0.103852
0.25 (4)0.062163
0.2639 (3.7895)0.026993
0.2778 (3.6)0.007826
0.2917 (3.4286)0.05465
0.3056 (3.2727)0.056466
0.3194 (3.1304)0.070143
0.3333 (3)0.319274
0.3472 (2.88)0.039505
0.3611 (2.7692)0.014317
0.375 (2.6667)0.038492
0.3889 (2.5714)0.010742
0.4028 (2.4828)0.039404
0.4167 (2.4)0.288562
0.4306 (2.3226)0.080763
0.4444 (2.25)0.050902
0.4583 (2.1818)0.025649
0.4722 (2.1176)0.002699
0.4861 (2.0571)0.057662
0.5 (2)0.053614

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 0 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0139 (72) & 0.037758 \tabularnewline
0.0278 (36) & 0.094559 \tabularnewline
0.0417 (24) & 0.132887 \tabularnewline
0.0556 (18) & 0.133862 \tabularnewline
0.0694 (14.4) & 0.383291 \tabularnewline
0.0833 (12) & 3.204319 \tabularnewline
0.0972 (10.2857) & 0.040993 \tabularnewline
0.1111 (9) & 0.021389 \tabularnewline
0.125 (8) & 0.20138 \tabularnewline
0.1389 (7.2) & 0.123513 \tabularnewline
0.1528 (6.5455) & 0.045939 \tabularnewline
0.1667 (6) & 0.296599 \tabularnewline
0.1806 (5.5385) & 0.003701 \tabularnewline
0.1944 (5.1429) & 0.056424 \tabularnewline
0.2083 (4.8) & 0.008349 \tabularnewline
0.2222 (4.5) & 0.073554 \tabularnewline
0.2361 (4.2353) & 0.103852 \tabularnewline
0.25 (4) & 0.062163 \tabularnewline
0.2639 (3.7895) & 0.026993 \tabularnewline
0.2778 (3.6) & 0.007826 \tabularnewline
0.2917 (3.4286) & 0.05465 \tabularnewline
0.3056 (3.2727) & 0.056466 \tabularnewline
0.3194 (3.1304) & 0.070143 \tabularnewline
0.3333 (3) & 0.319274 \tabularnewline
0.3472 (2.88) & 0.039505 \tabularnewline
0.3611 (2.7692) & 0.014317 \tabularnewline
0.375 (2.6667) & 0.038492 \tabularnewline
0.3889 (2.5714) & 0.010742 \tabularnewline
0.4028 (2.4828) & 0.039404 \tabularnewline
0.4167 (2.4) & 0.288562 \tabularnewline
0.4306 (2.3226) & 0.080763 \tabularnewline
0.4444 (2.25) & 0.050902 \tabularnewline
0.4583 (2.1818) & 0.025649 \tabularnewline
0.4722 (2.1176) & 0.002699 \tabularnewline
0.4861 (2.0571) & 0.057662 \tabularnewline
0.5 (2) & 0.053614 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114789&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]0[/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]0.0139 (72)[/C][C]0.037758[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]0.094559[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]0.132887[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]0.133862[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]0.383291[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]3.204319[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]0.040993[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]0.021389[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]0.20138[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]0.123513[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]0.045939[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]0.296599[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]0.003701[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]0.056424[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]0.008349[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]0.073554[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]0.103852[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]0.062163[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]0.026993[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]0.007826[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]0.05465[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]0.056466[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]0.070143[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]0.319274[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]0.039505[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]0.014317[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]0.038492[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]0.010742[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]0.039404[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]0.288562[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]0.080763[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]0.050902[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]0.025649[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]0.002699[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]0.057662[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]0.053614[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114789&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114789&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)0.037758
0.0278 (36)0.094559
0.0417 (24)0.132887
0.0556 (18)0.133862
0.0694 (14.4)0.383291
0.0833 (12)3.204319
0.0972 (10.2857)0.040993
0.1111 (9)0.021389
0.125 (8)0.20138
0.1389 (7.2)0.123513
0.1528 (6.5455)0.045939
0.1667 (6)0.296599
0.1806 (5.5385)0.003701
0.1944 (5.1429)0.056424
0.2083 (4.8)0.008349
0.2222 (4.5)0.073554
0.2361 (4.2353)0.103852
0.25 (4)0.062163
0.2639 (3.7895)0.026993
0.2778 (3.6)0.007826
0.2917 (3.4286)0.05465
0.3056 (3.2727)0.056466
0.3194 (3.1304)0.070143
0.3333 (3)0.319274
0.3472 (2.88)0.039505
0.3611 (2.7692)0.014317
0.375 (2.6667)0.038492
0.3889 (2.5714)0.010742
0.4028 (2.4828)0.039404
0.4167 (2.4)0.288562
0.4306 (2.3226)0.080763
0.4444 (2.25)0.050902
0.4583 (2.1818)0.025649
0.4722 (2.1176)0.002699
0.4861 (2.0571)0.057662
0.5 (2)0.053614


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; 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')