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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 computationTue, 24 Nov 2009 12:08:35 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2009/Nov/24/t1259089762umjz2ab3ybmnehx.htm/, Retrieved Sun, 03 Dec 2023 06:55:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=59235, Retrieved Sun, 03 Dec 2023 06:55:04 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsws8spectrumgeendiff
Estimated Impact90

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Spectral Analysis] [Identifying Integ...] [2009-11-22 12:38:17] [b98453cac15ba1066b407e146608df68]
-    D          [Spectral Analysis] [] [2009-11-24 19:08:35] [4563e36d4b7005634fe3557528d9fcab] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
7291
6820
8031
7862
7357
7213
7079
7012
7319
8148
7599
6908
7878
7407
7911
7323
7179
6758
6934
6696
7688
8296
7697
7907
7592
7710
9011
8225
7733
8062
7859
8221
8330
8868
9053
8811
8120
7953
8878
8601
8361
9116
9310
9891
10147
10317
10682
10276
10614
9413
11068
9772
10350
10541
10049
10714
10759
11684
11462
10485
11056
10184
11082
10554
11315
10847
11104
11026
11073
12073
12328
11172

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59235&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59235&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59235&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 time3 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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
0.0139 (72)2216537.645057
0.0278 (36)997947.340195
0.0417 (24)809414.480504
0.0556 (18)555686.437543
0.0694 (14.4)175772.422353
0.0833 (12)1026010.110179
0.0972 (10.2857)694045.292205
0.1111 (9)32896.999364
0.125 (8)79090.096598
0.1389 (7.2)141045.341995
0.1528 (6.5455)91765.886036
0.1667 (6)1186583.494582
0.1806 (5.5385)103819.082223
0.1944 (5.1429)8311.381261
0.2083 (4.8)16341.129904
0.2222 (4.5)133456.137147
0.2361 (4.2353)227475.953144
0.25 (4)250416.492482
0.2639 (3.7895)74138.302521
0.2778 (3.6)56208.739033
0.2917 (3.4286)82158.902606
0.3056 (3.2727)5105.477385
0.3194 (3.1304)38512.802044
0.3333 (3)226751.319779
0.3472 (2.88)326403.858303
0.3611 (2.7692)35900.646886
0.375 (2.6667)125416.403858
0.3889 (2.5714)11835.057947
0.4028 (2.4828)96697.348494
0.4167 (2.4)854067.354697
0.4306 (2.3226)178037.734966
0.4444 (2.25)237394.614381
0.4583 (2.1818)51905.496202
0.4722 (2.1176)138112.570049
0.4861 (2.0571)77358.953693
0.5 (2)446813.585085

\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
0.0139 (72) & 2216537.645057 \tabularnewline
0.0278 (36) & 997947.340195 \tabularnewline
0.0417 (24) & 809414.480504 \tabularnewline
0.0556 (18) & 555686.437543 \tabularnewline
0.0694 (14.4) & 175772.422353 \tabularnewline
0.0833 (12) & 1026010.110179 \tabularnewline
0.0972 (10.2857) & 694045.292205 \tabularnewline
0.1111 (9) & 32896.999364 \tabularnewline
0.125 (8) & 79090.096598 \tabularnewline
0.1389 (7.2) & 141045.341995 \tabularnewline
0.1528 (6.5455) & 91765.886036 \tabularnewline
0.1667 (6) & 1186583.494582 \tabularnewline
0.1806 (5.5385) & 103819.082223 \tabularnewline
0.1944 (5.1429) & 8311.381261 \tabularnewline
0.2083 (4.8) & 16341.129904 \tabularnewline
0.2222 (4.5) & 133456.137147 \tabularnewline
0.2361 (4.2353) & 227475.953144 \tabularnewline
0.25 (4) & 250416.492482 \tabularnewline
0.2639 (3.7895) & 74138.302521 \tabularnewline
0.2778 (3.6) & 56208.739033 \tabularnewline
0.2917 (3.4286) & 82158.902606 \tabularnewline
0.3056 (3.2727) & 5105.477385 \tabularnewline
0.3194 (3.1304) & 38512.802044 \tabularnewline
0.3333 (3) & 226751.319779 \tabularnewline
0.3472 (2.88) & 326403.858303 \tabularnewline
0.3611 (2.7692) & 35900.646886 \tabularnewline
0.375 (2.6667) & 125416.403858 \tabularnewline
0.3889 (2.5714) & 11835.057947 \tabularnewline
0.4028 (2.4828) & 96697.348494 \tabularnewline
0.4167 (2.4) & 854067.354697 \tabularnewline
0.4306 (2.3226) & 178037.734966 \tabularnewline
0.4444 (2.25) & 237394.614381 \tabularnewline
0.4583 (2.1818) & 51905.496202 \tabularnewline
0.4722 (2.1176) & 138112.570049 \tabularnewline
0.4861 (2.0571) & 77358.953693 \tabularnewline
0.5 (2) & 446813.585085 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=59235&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]0.0139 (72)[/C][C]2216537.645057[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]997947.340195[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]809414.480504[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]555686.437543[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]175772.422353[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]1026010.110179[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]694045.292205[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]32896.999364[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]79090.096598[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]141045.341995[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]91765.886036[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]1186583.494582[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]103819.082223[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]8311.381261[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]16341.129904[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]133456.137147[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]227475.953144[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]250416.492482[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]74138.302521[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]56208.739033[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]82158.902606[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]5105.477385[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]38512.802044[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]226751.319779[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]326403.858303[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]35900.646886[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]125416.403858[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]11835.057947[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]96697.348494[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]854067.354697[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]178037.734966[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]237394.614381[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]51905.496202[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]138112.570049[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]77358.953693[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]446813.585085[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=59235&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=59235&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
0.0139 (72)2216537.645057
0.0278 (36)997947.340195
0.0417 (24)809414.480504
0.0556 (18)555686.437543
0.0694 (14.4)175772.422353
0.0833 (12)1026010.110179
0.0972 (10.2857)694045.292205
0.1111 (9)32896.999364
0.125 (8)79090.096598
0.1389 (7.2)141045.341995
0.1528 (6.5455)91765.886036
0.1667 (6)1186583.494582
0.1806 (5.5385)103819.082223
0.1944 (5.1429)8311.381261
0.2083 (4.8)16341.129904
0.2222 (4.5)133456.137147
0.2361 (4.2353)227475.953144
0.25 (4)250416.492482
0.2639 (3.7895)74138.302521
0.2778 (3.6)56208.739033
0.2917 (3.4286)82158.902606
0.3056 (3.2727)5105.477385
0.3194 (3.1304)38512.802044
0.3333 (3)226751.319779
0.3472 (2.88)326403.858303
0.3611 (2.7692)35900.646886
0.375 (2.6667)125416.403858
0.3889 (2.5714)11835.057947
0.4028 (2.4828)96697.348494
0.4167 (2.4)854067.354697
0.4306 (2.3226)178037.734966
0.4444 (2.25)237394.614381
0.4583 (2.1818)51905.496202
0.4722 (2.1176)138112.570049
0.4861 (2.0571)77358.953693
0.5 (2)446813.585085


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')