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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, 05 Dec 2008 06:06:50 -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/05/t12284824458oojydisi1iqylr.htm/, Retrieved Thu, 16 May 2024 05:48:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=29227, Retrieved Thu, 16 May 2024 05:48:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact203

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]
- RMP   [Spectral Analysis] [Spectraal Analyse] [2008-12-05 07:14:02] [c5a66f1c8528a963efc2b82a8519f117]
-    D      [Spectral Analysis] [Spectraal Analyse] [2008-12-05 13:06:50] [b4fc5040f26b33db57f84cfb8d1d2b82] [Current]
-    D        [Spectral Analysis] [SA - woninghuur (...] [2008-12-08 18:26:17] [c5a66f1c8528a963efc2b82a8519f117]
-   PD          [Spectral Analysis] [SA - woninghuur (...] [2008-12-08 18:30:58] [c5a66f1c8528a963efc2b82a8519f117]
- RMPD            [Bivariate Kernel Density Estimation] [BKDE] [2008-12-08 18:58:39] [c5a66f1c8528a963efc2b82a8519f117]
- RMPD            [Kendall tau Correlation Matrix] [Correlation matrix] [2008-12-08 19:01:59] [c5a66f1c8528a963efc2b82a8519f117]
- RMPD            [Pearson Correlation] [Pearson correlation] [2008-12-08 19:05:48] [c5a66f1c8528a963efc2b82a8519f117]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1515
1510
1225
1577
1417
1224
1693
1633
1639
1914
1586
1552
2081
1500
1437
1470
1849
1387
1592
1589
1798
1935
1887
2027
2080
1556
1682
1785
1869
1781
2082
2570
1862
1936
1504
1765
1607
1577
1493
1615
1700
1335
1523
1623
1540
1637
1524
1419
1821
1593
1357
1263
1750
1405
1393
1639
1679
1551
1744
1429
1784

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29227&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29227&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29227&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'George Udny Yule' @ 72.249.76.132






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
0.0156 (64)350185.02999
0.0312 (32)217006.282601
0.0469 (21.3333)33574.257468
0.0625 (16)61185.082869
0.0781 (12.8)101889.551017
0.0938 (10.6667)118114.810415
0.1094 (9.1429)69635.751161
0.125 (8)85246.45783
0.1406 (7.1111)38168.029216
0.1562 (6.4)9025.474022
0.1719 (5.8182)8304.829244
0.1875 (5.3333)3873.08765
0.2031 (4.9231)14213.996114
0.2188 (4.5714)53922.22658
0.2344 (4.2667)19884.130856
0.25 (4)137209.199723
0.2656 (3.7647)19419.238676
0.2812 (3.5556)81783.668064
0.2969 (3.3684)8487.93225
0.3125 (3.2)2209.578491
0.3281 (3.0476)172016.395865
0.3438 (2.9091)10302.533045
0.3594 (2.7826)19813.938502
0.375 (2.6667)4652.050727
0.3906 (2.56)6688.107794
0.4062 (2.4615)50124.212882
0.4219 (2.3704)51222.621631
0.4375 (2.2857)6347.867428
0.4531 (2.2069)3529.370998
0.4688 (2.1333)80144.429403
0.4844 (2.0645)20470.421457
0.5 (2)23745.346957

\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
0.0156 (64) & 350185.02999 \tabularnewline
0.0312 (32) & 217006.282601 \tabularnewline
0.0469 (21.3333) & 33574.257468 \tabularnewline
0.0625 (16) & 61185.082869 \tabularnewline
0.0781 (12.8) & 101889.551017 \tabularnewline
0.0938 (10.6667) & 118114.810415 \tabularnewline
0.1094 (9.1429) & 69635.751161 \tabularnewline
0.125 (8) & 85246.45783 \tabularnewline
0.1406 (7.1111) & 38168.029216 \tabularnewline
0.1562 (6.4) & 9025.474022 \tabularnewline
0.1719 (5.8182) & 8304.829244 \tabularnewline
0.1875 (5.3333) & 3873.08765 \tabularnewline
0.2031 (4.9231) & 14213.996114 \tabularnewline
0.2188 (4.5714) & 53922.22658 \tabularnewline
0.2344 (4.2667) & 19884.130856 \tabularnewline
0.25 (4) & 137209.199723 \tabularnewline
0.2656 (3.7647) & 19419.238676 \tabularnewline
0.2812 (3.5556) & 81783.668064 \tabularnewline
0.2969 (3.3684) & 8487.93225 \tabularnewline
0.3125 (3.2) & 2209.578491 \tabularnewline
0.3281 (3.0476) & 172016.395865 \tabularnewline
0.3438 (2.9091) & 10302.533045 \tabularnewline
0.3594 (2.7826) & 19813.938502 \tabularnewline
0.375 (2.6667) & 4652.050727 \tabularnewline
0.3906 (2.56) & 6688.107794 \tabularnewline
0.4062 (2.4615) & 50124.212882 \tabularnewline
0.4219 (2.3704) & 51222.621631 \tabularnewline
0.4375 (2.2857) & 6347.867428 \tabularnewline
0.4531 (2.2069) & 3529.370998 \tabularnewline
0.4688 (2.1333) & 80144.429403 \tabularnewline
0.4844 (2.0645) & 20470.421457 \tabularnewline
0.5 (2) & 23745.346957 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=29227&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]0.0156 (64)[/C][C]350185.02999[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]217006.282601[/C][/ROW]
[ROW][C]0.0469 (21.3333)[/C][C]33574.257468[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]61185.082869[/C][/ROW]
[ROW][C]0.0781 (12.8)[/C][C]101889.551017[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]118114.810415[/C][/ROW]
[ROW][C]0.1094 (9.1429)[/C][C]69635.751161[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]85246.45783[/C][/ROW]
[ROW][C]0.1406 (7.1111)[/C][C]38168.029216[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]9025.474022[/C][/ROW]
[ROW][C]0.1719 (5.8182)[/C][C]8304.829244[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]3873.08765[/C][/ROW]
[ROW][C]0.2031 (4.9231)[/C][C]14213.996114[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]53922.22658[/C][/ROW]
[ROW][C]0.2344 (4.2667)[/C][C]19884.130856[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]137209.199723[/C][/ROW]
[ROW][C]0.2656 (3.7647)[/C][C]19419.238676[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]81783.668064[/C][/ROW]
[ROW][C]0.2969 (3.3684)[/C][C]8487.93225[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]2209.578491[/C][/ROW]
[ROW][C]0.3281 (3.0476)[/C][C]172016.395865[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]10302.533045[/C][/ROW]
[ROW][C]0.3594 (2.7826)[/C][C]19813.938502[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]4652.050727[/C][/ROW]
[ROW][C]0.3906 (2.56)[/C][C]6688.107794[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]50124.212882[/C][/ROW]
[ROW][C]0.4219 (2.3704)[/C][C]51222.621631[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]6347.867428[/C][/ROW]
[ROW][C]0.4531 (2.2069)[/C][C]3529.370998[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]80144.429403[/C][/ROW]
[ROW][C]0.4844 (2.0645)[/C][C]20470.421457[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]23745.346957[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=29227&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=29227&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
0.0156 (64)350185.02999
0.0312 (32)217006.282601
0.0469 (21.3333)33574.257468
0.0625 (16)61185.082869
0.0781 (12.8)101889.551017
0.0938 (10.6667)118114.810415
0.1094 (9.1429)69635.751161
0.125 (8)85246.45783
0.1406 (7.1111)38168.029216
0.1562 (6.4)9025.474022
0.1719 (5.8182)8304.829244
0.1875 (5.3333)3873.08765
0.2031 (4.9231)14213.996114
0.2188 (4.5714)53922.22658
0.2344 (4.2667)19884.130856
0.25 (4)137209.199723
0.2656 (3.7647)19419.238676
0.2812 (3.5556)81783.668064
0.2969 (3.3684)8487.93225
0.3125 (3.2)2209.578491
0.3281 (3.0476)172016.395865
0.3438 (2.9091)10302.533045
0.3594 (2.7826)19813.938502
0.375 (2.6667)4652.050727
0.3906 (2.56)6688.107794
0.4062 (2.4615)50124.212882
0.4219 (2.3704)51222.621631
0.4375 (2.2857)6347.867428
0.4531 (2.2069)3529.370998
0.4688 (2.1333)80144.429403
0.4844 (2.0645)20470.421457
0.5 (2)23745.346957


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')