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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 computationWed, 21 Dec 2016 15:02:18 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2016/Dec/21/t1482328953efpz0e564lw1n8c.htm/, Retrieved Fri, 01 Nov 2024 03:46:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=302305, Retrieved Fri, 01 Nov 2024 03:46:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact98

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]
- RMPD    [Spectral Analysis] [] [2016-12-21 13:53:11] [bd053d099769390155c4fde4a83f9350]
- R           [Spectral Analysis] [] [2016-12-21 14:02:18] [def48497f28d33434d2b266acb94ba5d] [Current]
- R             [Spectral Analysis] [] [2016-12-21 14:07:27] [bd053d099769390155c4fde4a83f9350]
- RM            [ARIMA Backward Selection] [] [2016-12-21 14:31:45] [bd053d099769390155c4fde4a83f9350]
- R               [ARIMA Backward Selection] [] [2016-12-21 14:44:46] [bd053d099769390155c4fde4a83f9350]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
4450
4400
4650
4800
4800
4750
5200
5050
4900
5300
5500
6050
5200
5350
5450
5900
5800
5950
6750
6500
6500
7100
7100
8400
6900
7400
7650
7850
7750
8000
8950
9100
9100
10050
10450
11900
10000
11250
11250
11650
11550
11800
13050
12350
12200
13450
13450
14450
12500
13350
13600
13200
13450
13600
14450
14000
13600
14700
14450
15250
13750
14450
14300
14600
14700
14600

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302305&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=302305&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302305&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R ServerBig Analytics Cloud Computing Center






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)163721.45453
0.0278 (36)99797.626626
0.0417 (24)2871.761816
0.0556 (18)44019.291816
0.0694 (14.4)30087.295061
0.0833 (12)287058.056488
0.0972 (10.2857)72255.37438
0.1111 (9)9565.116528
0.125 (8)16198.396115
0.1389 (7.2)24156.197596
0.1528 (6.5455)17896.545764
0.1667 (6)644712.861289
0.1806 (5.5385)65480.217151
0.1944 (5.1429)47406.73934
0.2083 (4.8)51143.139896
0.2222 (4.5)122526.69919
0.2361 (4.2353)97136.559972
0.25 (4)3514858.261635
0.2639 (3.7895)1109465.453274
0.2778 (3.6)58470.719533
0.2917 (3.4286)8557.766034
0.3056 (3.2727)1704.252417
0.3194 (3.1304)10959.399237
0.3333 (3)245033.05425
0.3472 (2.88)139080.778614
0.3611 (2.7692)144515.372811
0.375 (2.6667)47835.243186
0.3889 (2.5714)215871.524297
0.4028 (2.4828)1235862.502419
0.4167 (2.4)6649437.58976
0.4306 (2.3226)543653.76195
0.4444 (2.25)107482.976262
0.4583 (2.1818)252729.671782
0.4722 (2.1176)94061.689465
0.4861 (2.0571)584829.490575
0.5 (2)4585773.427897

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0139 (72) & 163721.45453 \tabularnewline
0.0278 (36) & 99797.626626 \tabularnewline
0.0417 (24) & 2871.761816 \tabularnewline
0.0556 (18) & 44019.291816 \tabularnewline
0.0694 (14.4) & 30087.295061 \tabularnewline
0.0833 (12) & 287058.056488 \tabularnewline
0.0972 (10.2857) & 72255.37438 \tabularnewline
0.1111 (9) & 9565.116528 \tabularnewline
0.125 (8) & 16198.396115 \tabularnewline
0.1389 (7.2) & 24156.197596 \tabularnewline
0.1528 (6.5455) & 17896.545764 \tabularnewline
0.1667 (6) & 644712.861289 \tabularnewline
0.1806 (5.5385) & 65480.217151 \tabularnewline
0.1944 (5.1429) & 47406.73934 \tabularnewline
0.2083 (4.8) & 51143.139896 \tabularnewline
0.2222 (4.5) & 122526.69919 \tabularnewline
0.2361 (4.2353) & 97136.559972 \tabularnewline
0.25 (4) & 3514858.261635 \tabularnewline
0.2639 (3.7895) & 1109465.453274 \tabularnewline
0.2778 (3.6) & 58470.719533 \tabularnewline
0.2917 (3.4286) & 8557.766034 \tabularnewline
0.3056 (3.2727) & 1704.252417 \tabularnewline
0.3194 (3.1304) & 10959.399237 \tabularnewline
0.3333 (3) & 245033.05425 \tabularnewline
0.3472 (2.88) & 139080.778614 \tabularnewline
0.3611 (2.7692) & 144515.372811 \tabularnewline
0.375 (2.6667) & 47835.243186 \tabularnewline
0.3889 (2.5714) & 215871.524297 \tabularnewline
0.4028 (2.4828) & 1235862.502419 \tabularnewline
0.4167 (2.4) & 6649437.58976 \tabularnewline
0.4306 (2.3226) & 543653.76195 \tabularnewline
0.4444 (2.25) & 107482.976262 \tabularnewline
0.4583 (2.1818) & 252729.671782 \tabularnewline
0.4722 (2.1176) & 94061.689465 \tabularnewline
0.4861 (2.0571) & 584829.490575 \tabularnewline
0.5 (2) & 4585773.427897 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=302305&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0139 (72)[/C][C]163721.45453[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]99797.626626[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]2871.761816[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]44019.291816[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]30087.295061[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]287058.056488[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]72255.37438[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]9565.116528[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]16198.396115[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]24156.197596[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]17896.545764[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]644712.861289[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]65480.217151[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]47406.73934[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]51143.139896[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]122526.69919[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]97136.559972[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]3514858.261635[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]1109465.453274[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]58470.719533[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]8557.766034[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]1704.252417[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]10959.399237[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]245033.05425[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]139080.778614[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]144515.372811[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]47835.243186[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]215871.524297[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]1235862.502419[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]6649437.58976[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]543653.76195[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]107482.976262[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]252729.671782[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]94061.689465[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]584829.490575[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]4585773.427897[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=302305&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=302305&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)163721.45453
0.0278 (36)99797.626626
0.0417 (24)2871.761816
0.0556 (18)44019.291816
0.0694 (14.4)30087.295061
0.0833 (12)287058.056488
0.0972 (10.2857)72255.37438
0.1111 (9)9565.116528
0.125 (8)16198.396115
0.1389 (7.2)24156.197596
0.1528 (6.5455)17896.545764
0.1667 (6)644712.861289
0.1806 (5.5385)65480.217151
0.1944 (5.1429)47406.73934
0.2083 (4.8)51143.139896
0.2222 (4.5)122526.69919
0.2361 (4.2353)97136.559972
0.25 (4)3514858.261635
0.2639 (3.7895)1109465.453274
0.2778 (3.6)58470.719533
0.2917 (3.4286)8557.766034
0.3056 (3.2727)1704.252417
0.3194 (3.1304)10959.399237
0.3333 (3)245033.05425
0.3472 (2.88)139080.778614
0.3611 (2.7692)144515.372811
0.375 (2.6667)47835.243186
0.3889 (2.5714)215871.524297
0.4028 (2.4828)1235862.502419
0.4167 (2.4)6649437.58976
0.4306 (2.3226)543653.76195
0.4444 (2.25)107482.976262
0.4583 (2.1818)252729.671782
0.4722 (2.1176)94061.689465
0.4861 (2.0571)584829.490575
0.5 (2)4585773.427897


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = TRUE ; par2 = 1 ; par3 = 2 ; par4 = 1 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- '0'
par2 <- '2'
par1 <- '1'
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')