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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 computationSat, 15 Dec 2012 10:13:28 -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/2012/Dec/15/t13555844344rcjxvz4bmzhab4.htm/, Retrieved Tue, 30 Apr 2024 17:34:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=199996, Retrieved Tue, 30 Apr 2024 17:34:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact115

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   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- R  D    [Standard Deviation-Mean Plot] [] [2012-11-24 14:45:44] [ed1b7ed66647a67413eed9d47e0cd105]
- RMPD        [Spectral Analysis] [] [2012-12-15 15:13:28] [7d61013405aa85534cb0146e7095f1e4] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7116
6927
6731
6850
6766
6979
7149
7067
7170
7237
7240
7645
7678
7491
7816
7631
8395
8578
8950
9450
9501
10083
10544
11299
12049
12860
13389
13796
14505
14727
14646
14861
15012
15421
15227
15124
14953
15039
15128
15221
14876
14517
14609
14735
14574
14636
15104
14393
13919
13751
13628
13792
13892
14024
13908
13920
13897
13759
13323
13097
12758
12806
12673
12500
12720
12749
12794
12544
12088
12258

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=199996&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=199996&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199996&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)1
Degree of seasonal differencing (D)1
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0139 (72)8030.651491
0.0278 (36)11461.910699
0.0417 (24)17426.169878
0.0556 (18)4170.919566
0.0694 (14.4)17715.788364
0.0833 (12)14282.755579
0.0972 (10.2857)39727.69982
0.1111 (9)48990.393373
0.125 (8)399.663675
0.1389 (7.2)57165.970747
0.1528 (6.5455)96728.72298
0.1667 (6)30682.421648
0.1806 (5.5385)137806.934666
0.1944 (5.1429)3540.222223
0.2083 (4.8)54697.736596
0.2222 (4.5)199789.711819
0.2361 (4.2353)36132.314828
0.25 (4)20007.063718
0.2639 (3.7895)67514.0249
0.2778 (3.6)162570.092417
0.2917 (3.4286)248704.736002
0.3056 (3.2727)94016.646619
0.3194 (3.1304)137085.74213
0.3333 (3)132119.4724
0.3472 (2.88)162927.830299
0.3611 (2.7692)74753.341018
0.375 (2.6667)414852.618304
0.3889 (2.5714)66599.211677
0.4028 (2.4828)584893.714612
0.4167 (2.4)282020.046695
0.4306 (2.3226)233423.925193
0.4444 (2.25)313844.10163
0.4583 (2.1818)181459.541652
0.4722 (2.1176)186257.734278
0.4861 (2.0571)53701.53078
0.5 (2)11034.350037

\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) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0139 (72) & 8030.651491 \tabularnewline
0.0278 (36) & 11461.910699 \tabularnewline
0.0417 (24) & 17426.169878 \tabularnewline
0.0556 (18) & 4170.919566 \tabularnewline
0.0694 (14.4) & 17715.788364 \tabularnewline
0.0833 (12) & 14282.755579 \tabularnewline
0.0972 (10.2857) & 39727.69982 \tabularnewline
0.1111 (9) & 48990.393373 \tabularnewline
0.125 (8) & 399.663675 \tabularnewline
0.1389 (7.2) & 57165.970747 \tabularnewline
0.1528 (6.5455) & 96728.72298 \tabularnewline
0.1667 (6) & 30682.421648 \tabularnewline
0.1806 (5.5385) & 137806.934666 \tabularnewline
0.1944 (5.1429) & 3540.222223 \tabularnewline
0.2083 (4.8) & 54697.736596 \tabularnewline
0.2222 (4.5) & 199789.711819 \tabularnewline
0.2361 (4.2353) & 36132.314828 \tabularnewline
0.25 (4) & 20007.063718 \tabularnewline
0.2639 (3.7895) & 67514.0249 \tabularnewline
0.2778 (3.6) & 162570.092417 \tabularnewline
0.2917 (3.4286) & 248704.736002 \tabularnewline
0.3056 (3.2727) & 94016.646619 \tabularnewline
0.3194 (3.1304) & 137085.74213 \tabularnewline
0.3333 (3) & 132119.4724 \tabularnewline
0.3472 (2.88) & 162927.830299 \tabularnewline
0.3611 (2.7692) & 74753.341018 \tabularnewline
0.375 (2.6667) & 414852.618304 \tabularnewline
0.3889 (2.5714) & 66599.211677 \tabularnewline
0.4028 (2.4828) & 584893.714612 \tabularnewline
0.4167 (2.4) & 282020.046695 \tabularnewline
0.4306 (2.3226) & 233423.925193 \tabularnewline
0.4444 (2.25) & 313844.10163 \tabularnewline
0.4583 (2.1818) & 181459.541652 \tabularnewline
0.4722 (2.1176) & 186257.734278 \tabularnewline
0.4861 (2.0571) & 53701.53078 \tabularnewline
0.5 (2) & 11034.350037 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=199996&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]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]8030.651491[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]11461.910699[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]17426.169878[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]4170.919566[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]17715.788364[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]14282.755579[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]39727.69982[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]48990.393373[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]399.663675[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]57165.970747[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]96728.72298[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]30682.421648[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]137806.934666[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]3540.222223[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]54697.736596[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]199789.711819[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]36132.314828[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]20007.063718[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]67514.0249[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]162570.092417[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]248704.736002[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]94016.646619[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]137085.74213[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]132119.4724[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]162927.830299[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]74753.341018[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]414852.618304[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]66599.211677[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]584893.714612[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]282020.046695[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]233423.925193[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]313844.10163[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]181459.541652[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]186257.734278[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]53701.53078[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]11034.350037[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=199996&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=199996&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)1
Frequency (Period)Spectrum
0.0139 (72)8030.651491
0.0278 (36)11461.910699
0.0417 (24)17426.169878
0.0556 (18)4170.919566
0.0694 (14.4)17715.788364
0.0833 (12)14282.755579
0.0972 (10.2857)39727.69982
0.1111 (9)48990.393373
0.125 (8)399.663675
0.1389 (7.2)57165.970747
0.1528 (6.5455)96728.72298
0.1667 (6)30682.421648
0.1806 (5.5385)137806.934666
0.1944 (5.1429)3540.222223
0.2083 (4.8)54697.736596
0.2222 (4.5)199789.711819
0.2361 (4.2353)36132.314828
0.25 (4)20007.063718
0.2639 (3.7895)67514.0249
0.2778 (3.6)162570.092417
0.2917 (3.4286)248704.736002
0.3056 (3.2727)94016.646619
0.3194 (3.1304)137085.74213
0.3333 (3)132119.4724
0.3472 (2.88)162927.830299
0.3611 (2.7692)74753.341018
0.375 (2.6667)414852.618304
0.3889 (2.5714)66599.211677
0.4028 (2.4828)584893.714612
0.4167 (2.4)282020.046695
0.4306 (2.3226)233423.925193
0.4444 (2.25)313844.10163
0.4583 (2.1818)181459.541652
0.4722 (2.1176)186257.734278
0.4861 (2.0571)53701.53078
0.5 (2)11034.350037


Figures (Output of Computation)

Input Parameters & R Code

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