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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, 02 Dec 2011 08:43:15 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/02/t1322833409nudviiwb9gw5f7d.htm/, Retrieved Mon, 29 Apr 2024 02:34:48 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150195, Retrieved Mon, 29 Apr 2024 02:34:48 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact103

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] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
- R  D      [Spectral Analysis] [WS9] [2011-12-02 13:43:15] [7a9891c1925ad1e8ddfe52b8c5887b5b] [Current]
-   P         [Spectral Analysis] [WS9] [2011-12-02 14:27:00] [91ce4971c808115c699d50336245df56]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
68897
38683
44720
39525
45315
50380
40600
36279
42438
38064
31879
11379
70249
39253
47060
41697
38708
49267
39018
32228
40870
39383
34571
12066
70938
34077
45409
40809
37013
44953
37848
32745
39401
34931
33008
8620
68906
39556
50669
36432
40891
48428
36222
33425
39401
37967
34801
12657
69116
41519
51321
38529
41547
52073
38401
40898
40439
41888
37898
8771
68184
50530
47221
41756
45633
48138
39486
39341
41117
41629
29722
7054
56676
34870
35117
30169
30936
35699
33228
27733
33666
35429
27438
8170

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'Gertrude Mary Cox' @ cox.wessa.net

\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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150195&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150195&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150195&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'Gertrude Mary Cox' @ cox.wessa.net






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
0.0111 (90)247298626.763457
0.0222 (45)76370320.745214
0.0333 (30)46337172.611912
0.0444 (22.5)54030945.429622
0.0556 (18)7844536.979061
0.0667 (15)17590576.119622
0.0778 (12.8571)341293795.717875
0.0889 (11.25)308797624.587094
0.1 (10)11511482.799605
0.1111 (9)3134373.189048
0.1222 (8.1818)17510711.106885
0.1333 (7.5)10114828.17375
0.1444 (6.9231)28724205.325998
0.1556 (6.4286)51583228.233058
0.1667 (6)436614020.838086
0.1778 (5.625)19402226.433168
0.1889 (5.2941)19920814.695745
0.2 (5)26262001.445401
0.2111 (4.7368)12799550.26904
0.2222 (4.5)1598368.671936
0.2333 (4.2857)33184705.966739
0.2444 (4.0909)845887142.152711
0.2556 (3.913)686412962.449861
0.2667 (3.75)74394051.559887
0.2778 (3.6)327801.207456
0.2889 (3.4615)18005651.498064
0.3 (3.3333)2542713.083883
0.3111 (3.2143)47861631.871031
0.3222 (3.1034)102775875.232589
0.3333 (3)641940984.780607
0.3444 (2.9032)4756082.347384
0.3556 (2.8125)80322604.028023
0.3667 (2.7273)41662925.145489
0.3778 (2.6471)2185156.649722
0.3889 (2.5714)7255596.461747
0.4 (2.5)28946729.917904
0.4111 (2.4324)973322560.373932
0.4222 (2.3684)1075256936.60309
0.4333 (2.3077)16036011.065396
0.4444 (2.25)2011410.670745
0.4556 (2.1951)12737556.570023
0.4667 (2.1429)35371211.974598
0.4778 (2.093)32280122.54866
0.4889 (2.0455)139423675.993611
0.5 (2)1498394011.69574

\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
0.0111 (90) & 247298626.763457 \tabularnewline
0.0222 (45) & 76370320.745214 \tabularnewline
0.0333 (30) & 46337172.611912 \tabularnewline
0.0444 (22.5) & 54030945.429622 \tabularnewline
0.0556 (18) & 7844536.979061 \tabularnewline
0.0667 (15) & 17590576.119622 \tabularnewline
0.0778 (12.8571) & 341293795.717875 \tabularnewline
0.0889 (11.25) & 308797624.587094 \tabularnewline
0.1 (10) & 11511482.799605 \tabularnewline
0.1111 (9) & 3134373.189048 \tabularnewline
0.1222 (8.1818) & 17510711.106885 \tabularnewline
0.1333 (7.5) & 10114828.17375 \tabularnewline
0.1444 (6.9231) & 28724205.325998 \tabularnewline
0.1556 (6.4286) & 51583228.233058 \tabularnewline
0.1667 (6) & 436614020.838086 \tabularnewline
0.1778 (5.625) & 19402226.433168 \tabularnewline
0.1889 (5.2941) & 19920814.695745 \tabularnewline
0.2 (5) & 26262001.445401 \tabularnewline
0.2111 (4.7368) & 12799550.26904 \tabularnewline
0.2222 (4.5) & 1598368.671936 \tabularnewline
0.2333 (4.2857) & 33184705.966739 \tabularnewline
0.2444 (4.0909) & 845887142.152711 \tabularnewline
0.2556 (3.913) & 686412962.449861 \tabularnewline
0.2667 (3.75) & 74394051.559887 \tabularnewline
0.2778 (3.6) & 327801.207456 \tabularnewline
0.2889 (3.4615) & 18005651.498064 \tabularnewline
0.3 (3.3333) & 2542713.083883 \tabularnewline
0.3111 (3.2143) & 47861631.871031 \tabularnewline
0.3222 (3.1034) & 102775875.232589 \tabularnewline
0.3333 (3) & 641940984.780607 \tabularnewline
0.3444 (2.9032) & 4756082.347384 \tabularnewline
0.3556 (2.8125) & 80322604.028023 \tabularnewline
0.3667 (2.7273) & 41662925.145489 \tabularnewline
0.3778 (2.6471) & 2185156.649722 \tabularnewline
0.3889 (2.5714) & 7255596.461747 \tabularnewline
0.4 (2.5) & 28946729.917904 \tabularnewline
0.4111 (2.4324) & 973322560.373932 \tabularnewline
0.4222 (2.3684) & 1075256936.60309 \tabularnewline
0.4333 (2.3077) & 16036011.065396 \tabularnewline
0.4444 (2.25) & 2011410.670745 \tabularnewline
0.4556 (2.1951) & 12737556.570023 \tabularnewline
0.4667 (2.1429) & 35371211.974598 \tabularnewline
0.4778 (2.093) & 32280122.54866 \tabularnewline
0.4889 (2.0455) & 139423675.993611 \tabularnewline
0.5 (2) & 1498394011.69574 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150195&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]0.0111 (90)[/C][C]247298626.763457[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]76370320.745214[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]46337172.611912[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]54030945.429622[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]7844536.979061[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]17590576.119622[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]341293795.717875[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]308797624.587094[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]11511482.799605[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]3134373.189048[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]17510711.106885[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]10114828.17375[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]28724205.325998[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]51583228.233058[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]436614020.838086[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]19402226.433168[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]19920814.695745[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]26262001.445401[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]12799550.26904[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]1598368.671936[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]33184705.966739[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]845887142.152711[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]686412962.449861[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]74394051.559887[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]327801.207456[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]18005651.498064[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]2542713.083883[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]47861631.871031[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]102775875.232589[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]641940984.780607[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]4756082.347384[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]80322604.028023[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]41662925.145489[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]2185156.649722[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]7255596.461747[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]28946729.917904[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]973322560.373932[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]1075256936.60309[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]16036011.065396[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]2011410.670745[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]12737556.570023[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]35371211.974598[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]32280122.54866[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]139423675.993611[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1498394011.69574[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150195&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150195&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
0.0111 (90)247298626.763457
0.0222 (45)76370320.745214
0.0333 (30)46337172.611912
0.0444 (22.5)54030945.429622
0.0556 (18)7844536.979061
0.0667 (15)17590576.119622
0.0778 (12.8571)341293795.717875
0.0889 (11.25)308797624.587094
0.1 (10)11511482.799605
0.1111 (9)3134373.189048
0.1222 (8.1818)17510711.106885
0.1333 (7.5)10114828.17375
0.1444 (6.9231)28724205.325998
0.1556 (6.4286)51583228.233058
0.1667 (6)436614020.838086
0.1778 (5.625)19402226.433168
0.1889 (5.2941)19920814.695745
0.2 (5)26262001.445401
0.2111 (4.7368)12799550.26904
0.2222 (4.5)1598368.671936
0.2333 (4.2857)33184705.966739
0.2444 (4.0909)845887142.152711
0.2556 (3.913)686412962.449861
0.2667 (3.75)74394051.559887
0.2778 (3.6)327801.207456
0.2889 (3.4615)18005651.498064
0.3 (3.3333)2542713.083883
0.3111 (3.2143)47861631.871031
0.3222 (3.1034)102775875.232589
0.3333 (3)641940984.780607
0.3444 (2.9032)4756082.347384
0.3556 (2.8125)80322604.028023
0.3667 (2.7273)41662925.145489
0.3778 (2.6471)2185156.649722
0.3889 (2.5714)7255596.461747
0.4 (2.5)28946729.917904
0.4111 (2.4324)973322560.373932
0.4222 (2.3684)1075256936.60309
0.4333 (2.3077)16036011.065396
0.4444 (2.25)2011410.670745
0.4556 (2.1951)12737556.570023
0.4667 (2.1429)35371211.974598
0.4778 (2.093)32280122.54866
0.4889 (2.0455)139423675.993611
0.5 (2)1498394011.69574


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')