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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Module--
Title produced by softwareSpectral Analysis
Date of computationThu, 27 Nov 2014 18:07:48 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Nov/27/t1417111701tbnecgyl5x99lid.htm/, Retrieved Sun, 10 Nov 2024 19:47:18 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=260517, Retrieved Sun, 10 Nov 2024 19:47:18 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73

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] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMP   [Spectral Analysis] [] [2011-12-06 19:48:28] [b98453cac15ba1066b407e146608df68]
- RM        [Spectral Analysis] [wsh 9 d] [2014-11-27 18:07:48] [ecc8a223a6799628ce1dc096d32923a0] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
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

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'Sir Ronald Aylmer Fisher' @ fisher.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 & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=260517&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]'Sir Ronald Aylmer Fisher' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=260517&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260517&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'Sir Ronald Aylmer Fisher' @ fisher.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)42037093910.0583
0.0667 (15)9008054760.44773
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)458718465.81231
0.1667 (6)1195340063.03302
0.1833 (5.4545)6608193242.32846
0.2 (5)5273249142.29747
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)7582682121.58796
0.3833 (2.6087)67545424834.6868
0.4 (2.5)2524084576.05095
0.4167 (2.4)2732454054.91932
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) & 42037093910.0583 \tabularnewline
0.0667 (15) & 9008054760.44773 \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) & 458718465.81231 \tabularnewline
0.1667 (6) & 1195340063.03302 \tabularnewline
0.1833 (5.4545) & 6608193242.32846 \tabularnewline
0.2 (5) & 5273249142.29747 \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) & 7582682121.58796 \tabularnewline
0.3833 (2.6087) & 67545424834.6868 \tabularnewline
0.4 (2.5) & 2524084576.05095 \tabularnewline
0.4167 (2.4) & 2732454054.91932 \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=260517&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]42037093910.0583[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]9008054760.44773[/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]458718465.81231[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]1195340063.03302[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]6608193242.32846[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]5273249142.29747[/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]7582682121.58796[/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]2732454054.91932[/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=260517&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=260517&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0167 (60)372756619.464914
0.0333 (30)5825376125.30892
0.05 (20)42037093910.0583
0.0667 (15)9008054760.44773
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)458718465.81231
0.1667 (6)1195340063.03302
0.1833 (5.4545)6608193242.32846
0.2 (5)5273249142.29747
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)7582682121.58796
0.3833 (2.6087)67545424834.6868
0.4 (2.5)2524084576.05095
0.4167 (2.4)2732454054.91932
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


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ; par5 = ; par6 = ; par7 = ; par8 = ; par9 = ; par10 = ; par11 = ; par12 = ; par13 = ; par14 = ; par15 = ; par16 = ; par17 = ; par18 = ; par19 = ; par20 = ;
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')