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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationSun, 02 Dec 2012 07:26:53 -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/02/t1354451225gkoh1w6nzieb8ml.htm/, Retrieved Thu, 31 Oct 2024 22:54:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=195465, Retrieved Thu, 31 Oct 2024 22:54:28 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122
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]
-    D    [Spectral Analysis] [Workshop 9, Cumul...] [2010-12-05 17:58:39] [3635fb7041b1998c5a1332cf9de22bce]
- R         [Spectral Analysis] [Spectral analysis] [2011-12-06 10:49:14] [74be16979710d4c4e7c6647856088456]
- R P           [Spectral Analysis] [ws9] [2012-12-02 12:26:53] [ed5689773f261aad7999fb516f38c1f9] [Current]
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Dataseries X:
655362
873127
1107897
1555964
1671159
1493308
2957796
2638691
1305669
1280496
921900
867888
652586
913831
1108544
1555827
1699283
1509458
3268975
2425016
1312703
1365498
934453
775019
651142
843192
1146766
1652601
1465906
1652734
2922334
2702805
1458956
1410363
1019279
936574
708917
885295
1099663
1576220
1487870
1488635
2882530
2677026
1404398
1344370
936865
872705
628151
953712
1160384
1400618
1661511
1495347
2918786
2775677
1407026
1370199
964526
850851
683118
847224
1073256
1514326
1503734
1507712
2865698
2788128
1391596
1366378
946295
859626




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195465&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]2 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=195465&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195465&T=0

As an alternative you can also use a 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 time2 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)372756619.464914
0.0333 (30)5825376125.30892
0.05 (20)42037093910.0582
0.0667 (15)9008054760.44772
0.0833 (12)5117519979.62786
0.1 (10)3543402354.02309
0.1167 (8.5714)6820895540.88134
0.1333 (7.5)2974618213.27858
0.15 (6.6667)458718465.812309
0.1667 (6)1195340063.03301
0.1833 (5.4545)6608193242.32846
0.2 (5)5273249142.29746
0.2167 (4.6154)22038763005.1371
0.2333 (4.2857)5880655603.64807
0.25 (4)68555605.98041
0.2667 (3.75)5252312606.4614
0.2833 (3.5294)26556904684.1569
0.3 (3.3333)2299552752.53468
0.3167 (3.1579)8746634803.34658
0.3333 (3)142619408.576182
0.35 (2.8571)44506243197.8508
0.3667 (2.7273)7582682121.58795
0.3833 (2.6087)67545424834.6868
0.4 (2.5)2524084576.05095
0.4167 (2.4)2732454054.91931
0.4333 (2.3077)19033813367.9729
0.45 (2.2222)39670175559.2708
0.4667 (2.1429)55591701441.6567
0.4833 (2.069)6142161956.62231
0.5 (2)1348210481.7574

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0167 (60) & 372756619.464914 \tabularnewline
0.0333 (30) & 5825376125.30892 \tabularnewline
0.05 (20) & 42037093910.0582 \tabularnewline
0.0667 (15) & 9008054760.44772 \tabularnewline
0.0833 (12) & 5117519979.62786 \tabularnewline
0.1 (10) & 3543402354.02309 \tabularnewline
0.1167 (8.5714) & 6820895540.88134 \tabularnewline
0.1333 (7.5) & 2974618213.27858 \tabularnewline
0.15 (6.6667) & 458718465.812309 \tabularnewline
0.1667 (6) & 1195340063.03301 \tabularnewline
0.1833 (5.4545) & 6608193242.32846 \tabularnewline
0.2 (5) & 5273249142.29746 \tabularnewline
0.2167 (4.6154) & 22038763005.1371 \tabularnewline
0.2333 (4.2857) & 5880655603.64807 \tabularnewline
0.25 (4) & 68555605.98041 \tabularnewline
0.2667 (3.75) & 5252312606.4614 \tabularnewline
0.2833 (3.5294) & 26556904684.1569 \tabularnewline
0.3 (3.3333) & 2299552752.53468 \tabularnewline
0.3167 (3.1579) & 8746634803.34658 \tabularnewline
0.3333 (3) & 142619408.576182 \tabularnewline
0.35 (2.8571) & 44506243197.8508 \tabularnewline
0.3667 (2.7273) & 7582682121.58795 \tabularnewline
0.3833 (2.6087) & 67545424834.6868 \tabularnewline
0.4 (2.5) & 2524084576.05095 \tabularnewline
0.4167 (2.4) & 2732454054.91931 \tabularnewline
0.4333 (2.3077) & 19033813367.9729 \tabularnewline
0.45 (2.2222) & 39670175559.2708 \tabularnewline
0.4667 (2.1429) & 55591701441.6567 \tabularnewline
0.4833 (2.069) & 6142161956.62231 \tabularnewline
0.5 (2) & 1348210481.7574 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=195465&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]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]372756619.464914[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]5825376125.30892[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]42037093910.0582[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]9008054760.44772[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]5117519979.62786[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]3543402354.02309[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]6820895540.88134[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]2974618213.27858[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]458718465.812309[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]1195340063.03301[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]6608193242.32846[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]5273249142.29746[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]22038763005.1371[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]5880655603.64807[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]68555605.98041[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]5252312606.4614[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]26556904684.1569[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]2299552752.53468[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]8746634803.34658[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]142619408.576182[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]44506243197.8508[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]7582682121.58795[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]67545424834.6868[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]2524084576.05095[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2732454054.91931[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]19033813367.9729[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]39670175559.2708[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]55591701441.6567[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]6142161956.62231[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1348210481.7574[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=195465&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=195465&T=1

As an alternative you can also use a 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)372756619.464914
0.0333 (30)5825376125.30892
0.05 (20)42037093910.0582
0.0667 (15)9008054760.44772
0.0833 (12)5117519979.62786
0.1 (10)3543402354.02309
0.1167 (8.5714)6820895540.88134
0.1333 (7.5)2974618213.27858
0.15 (6.6667)458718465.812309
0.1667 (6)1195340063.03301
0.1833 (5.4545)6608193242.32846
0.2 (5)5273249142.29746
0.2167 (4.6154)22038763005.1371
0.2333 (4.2857)5880655603.64807
0.25 (4)68555605.98041
0.2667 (3.75)5252312606.4614
0.2833 (3.5294)26556904684.1569
0.3 (3.3333)2299552752.53468
0.3167 (3.1579)8746634803.34658
0.3333 (3)142619408.576182
0.35 (2.8571)44506243197.8508
0.3667 (2.7273)7582682121.58795
0.3833 (2.6087)67545424834.6868
0.4 (2.5)2524084576.05095
0.4167 (2.4)2732454054.91931
0.4333 (2.3077)19033813367.9729
0.45 (2.2222)39670175559.2708
0.4667 (2.1429)55591701441.6567
0.4833 (2.069)6142161956.62231
0.5 (2)1348210481.7574



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