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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, 27 Nov 2009 06:52:24 -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/2009/Nov/27/t1259330006shjmq22u1kg9ds3.htm/, Retrieved Sun, 28 Apr 2024 18:56:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=60773, Retrieved Sun, 28 Apr 2024 18:56:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsshwws8
Estimated Impact144

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Multiple Regression] [Q1 The Seatbeltlaw] [2007-11-14 19:27:43] [8cd6641b921d30ebe00b648d1481bba0]
- RMPD  [Multiple Regression] [Seatbelt] [2009-11-12 13:54:52] [b98453cac15ba1066b407e146608df68]
-    D    [Multiple Regression] [] [2009-11-20 13:47:03] [5482608004c1d7bbf873930172393a2d]
- RMPD      [Variance Reduction Matrix] [] [2009-11-27 13:45:38] [5482608004c1d7bbf873930172393a2d]
- RMP           [Spectral Analysis] [] [2009-11-27 13:52:24] [efdfe680cd785c4af09f858b30f777ec] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
6539
6699
6962
6981
7024
6940
6774
6671
6965
6969
6822
6878
6691
6837
7018
7167
7076
7171
7093
6971
7142
7047
6999
6650
6475
6437
6639
6422
6272
6232
6003
5673
6050
5977
5796
5752
5609
5839
6069
6006
5809
5797
5502
5568
5864
5764
5615
5615
5681
5915
6334
6494
6620
6578
6495
6538
6737
6651
6530
6563

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=60773&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=60773&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60773&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)0
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0167 (60)2236189.930493
0.0333 (30)1381759.871699
0.05 (20)326602.536927
0.0667 (15)266542.414653
0.0833 (12)216924.928867
0.1 (10)2879.042562
0.1167 (8.5714)20673.930774
0.1333 (7.5)6216.129372
0.15 (6.6667)3770.580557
0.1667 (6)250762.377994
0.1833 (5.4545)27344.668198
0.2 (5)6642.803049
0.2167 (4.6154)2627.321082
0.2333 (4.2857)10337.032897
0.25 (4)14866.299475
0.2667 (3.75)15674.735854
0.2833 (3.5294)6309.835664
0.3 (3.3333)1942.070098
0.3167 (3.1579)1350.006423
0.3333 (3)63683.844094
0.35 (2.8571)7320.514967
0.3667 (2.7273)3267.318921
0.3833 (2.6087)1523.470677
0.4 (2.5)578.765808
0.4167 (2.4)5449.138636
0.4333 (2.3077)2892.308054
0.45 (2.2222)4176.736745
0.4667 (2.1429)10937.123124
0.4833 (2.069)650.830576
0.5 (2)3327.095623

\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) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 2236189.930493 \tabularnewline
0.0333 (30) & 1381759.871699 \tabularnewline
0.05 (20) & 326602.536927 \tabularnewline
0.0667 (15) & 266542.414653 \tabularnewline
0.0833 (12) & 216924.928867 \tabularnewline
0.1 (10) & 2879.042562 \tabularnewline
0.1167 (8.5714) & 20673.930774 \tabularnewline
0.1333 (7.5) & 6216.129372 \tabularnewline
0.15 (6.6667) & 3770.580557 \tabularnewline
0.1667 (6) & 250762.377994 \tabularnewline
0.1833 (5.4545) & 27344.668198 \tabularnewline
0.2 (5) & 6642.803049 \tabularnewline
0.2167 (4.6154) & 2627.321082 \tabularnewline
0.2333 (4.2857) & 10337.032897 \tabularnewline
0.25 (4) & 14866.299475 \tabularnewline
0.2667 (3.75) & 15674.735854 \tabularnewline
0.2833 (3.5294) & 6309.835664 \tabularnewline
0.3 (3.3333) & 1942.070098 \tabularnewline
0.3167 (3.1579) & 1350.006423 \tabularnewline
0.3333 (3) & 63683.844094 \tabularnewline
0.35 (2.8571) & 7320.514967 \tabularnewline
0.3667 (2.7273) & 3267.318921 \tabularnewline
0.3833 (2.6087) & 1523.470677 \tabularnewline
0.4 (2.5) & 578.765808 \tabularnewline
0.4167 (2.4) & 5449.138636 \tabularnewline
0.4333 (2.3077) & 2892.308054 \tabularnewline
0.45 (2.2222) & 4176.736745 \tabularnewline
0.4667 (2.1429) & 10937.123124 \tabularnewline
0.4833 (2.069) & 650.830576 \tabularnewline
0.5 (2) & 3327.095623 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=60773&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]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]2236189.930493[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]1381759.871699[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]326602.536927[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]266542.414653[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]216924.928867[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]2879.042562[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]20673.930774[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]6216.129372[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]3770.580557[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]250762.377994[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]27344.668198[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]6642.803049[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]2627.321082[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]10337.032897[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]14866.299475[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]15674.735854[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]6309.835664[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1942.070098[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]1350.006423[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]63683.844094[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]7320.514967[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]3267.318921[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]1523.470677[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]578.765808[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]5449.138636[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]2892.308054[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]4176.736745[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]10937.123124[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]650.830576[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]3327.095623[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=60773&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=60773&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)1
Frequency (Period)Spectrum
0.0167 (60)2236189.930493
0.0333 (30)1381759.871699
0.05 (20)326602.536927
0.0667 (15)266542.414653
0.0833 (12)216924.928867
0.1 (10)2879.042562
0.1167 (8.5714)20673.930774
0.1333 (7.5)6216.129372
0.15 (6.6667)3770.580557
0.1667 (6)250762.377994
0.1833 (5.4545)27344.668198
0.2 (5)6642.803049
0.2167 (4.6154)2627.321082
0.2333 (4.2857)10337.032897
0.25 (4)14866.299475
0.2667 (3.75)15674.735854
0.2833 (3.5294)6309.835664
0.3 (3.3333)1942.070098
0.3167 (3.1579)1350.006423
0.3333 (3)63683.844094
0.35 (2.8571)7320.514967
0.3667 (2.7273)3267.318921
0.3833 (2.6087)1523.470677
0.4 (2.5)578.765808
0.4167 (2.4)5449.138636
0.4333 (2.3077)2892.308054
0.45 (2.2222)4176.736745
0.4667 (2.1429)10937.123124
0.4833 (2.069)650.830576
0.5 (2)3327.095623


Figures (Output of Computation)

Input Parameters & R Code

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