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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 computationSun, 06 Dec 2009 09:56:43 -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/Dec/06/t1260118650d4xq1ghytn5yrpd.htm/, Retrieved Mon, 06 May 2024 07:01:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64452, Retrieved Mon, 06 May 2024 07:01:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact102

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]
-   PD          [Spectral Analysis] [] [2009-12-06 16:56:43] [0545e25c765ce26b196961216dc11e13] [Current]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
9051
8823
8776
8255
7969
8758
8693
8271
7790
7769
8170
8209
9395
9260
9018
8501
8500
9649
9319
8830
8436
8169
8269
7945
9144
8770
8834
7837
7792
8616
8518
7940
7545
7531
7665
7599
8444
8549
7986
7335
7287
7870
7839
7327
7259
6964
7271
6956
7608
7692
7255
6804
6655
7341
7602
7086
6625
6272
6576
6491
7649
7400
6913
6532
6486
7295
7556
7088
6952
6773
6917
7371
8221
7953
8027
7287
8076
8933
9433
9479
9199
9469
10015
10999
13009
13699
13895
13248
13973
15095
15201
14823
14538
14547
14407

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64452&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64452&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64452&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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






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
0.0104 (96)482159.986546
0.0208 (48)92223.515107
0.0312 (32)191279.845752
0.0417 (24)239218.520877
0.0521 (19.2)86814.463709
0.0625 (16)16844.092866
0.0729 (13.7143)22605.802232
0.0833 (12)431855.142346
0.0938 (10.6667)11344.316576
0.1042 (9.6)36516.01243
0.1146 (8.7273)23918.341027
0.125 (8)212045.143246
0.1354 (7.3846)180744.720108
0.1458 (6.8571)229615.6163
0.1562 (6.4)42244.679891
0.1667 (6)5547097.538097
0.1771 (5.6471)59523.394472
0.1875 (5.3333)50537.658942
0.1979 (5.0526)40125.86984
0.2083 (4.8)134489.598471
0.2187 (4.5714)63596.070708
0.2292 (4.3636)68895.096784
0.2396 (4.1739)58727.614248
0.25 (4)2065622.620544
0.2604 (3.84)59674.372263
0.2708 (3.6923)39106.254222
0.2812 (3.5556)19191.065849
0.2917 (3.4286)105514.744952
0.3021 (3.3103)10373.7584
0.3125 (3.2)7367.514714
0.3229 (3.0968)27133.872689
0.3333 (3)135974.992768
0.3438 (2.9091)7560.661903
0.3542 (2.8235)143324.638484
0.3646 (2.7429)15893.884077
0.375 (2.6667)114094.126483
0.3854 (2.5946)71191.250616
0.3958 (2.5263)10919.445319
0.4062 (2.4615)352987.721217
0.4167 (2.4)1320190.237521
0.4271 (2.3415)24311.226134
0.4375 (2.2857)493396.46121
0.4479 (2.2326)61553.984182
0.4583 (2.1818)9331.271233
0.4688 (2.1333)36565.231
0.4792 (2.087)81437.092853
0.4896 (2.0426)26655.562251
0.5 (2)1088504.974037

\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
0.0104 (96) & 482159.986546 \tabularnewline
0.0208 (48) & 92223.515107 \tabularnewline
0.0312 (32) & 191279.845752 \tabularnewline
0.0417 (24) & 239218.520877 \tabularnewline
0.0521 (19.2) & 86814.463709 \tabularnewline
0.0625 (16) & 16844.092866 \tabularnewline
0.0729 (13.7143) & 22605.802232 \tabularnewline
0.0833 (12) & 431855.142346 \tabularnewline
0.0938 (10.6667) & 11344.316576 \tabularnewline
0.1042 (9.6) & 36516.01243 \tabularnewline
0.1146 (8.7273) & 23918.341027 \tabularnewline
0.125 (8) & 212045.143246 \tabularnewline
0.1354 (7.3846) & 180744.720108 \tabularnewline
0.1458 (6.8571) & 229615.6163 \tabularnewline
0.1562 (6.4) & 42244.679891 \tabularnewline
0.1667 (6) & 5547097.538097 \tabularnewline
0.1771 (5.6471) & 59523.394472 \tabularnewline
0.1875 (5.3333) & 50537.658942 \tabularnewline
0.1979 (5.0526) & 40125.86984 \tabularnewline
0.2083 (4.8) & 134489.598471 \tabularnewline
0.2187 (4.5714) & 63596.070708 \tabularnewline
0.2292 (4.3636) & 68895.096784 \tabularnewline
0.2396 (4.1739) & 58727.614248 \tabularnewline
0.25 (4) & 2065622.620544 \tabularnewline
0.2604 (3.84) & 59674.372263 \tabularnewline
0.2708 (3.6923) & 39106.254222 \tabularnewline
0.2812 (3.5556) & 19191.065849 \tabularnewline
0.2917 (3.4286) & 105514.744952 \tabularnewline
0.3021 (3.3103) & 10373.7584 \tabularnewline
0.3125 (3.2) & 7367.514714 \tabularnewline
0.3229 (3.0968) & 27133.872689 \tabularnewline
0.3333 (3) & 135974.992768 \tabularnewline
0.3438 (2.9091) & 7560.661903 \tabularnewline
0.3542 (2.8235) & 143324.638484 \tabularnewline
0.3646 (2.7429) & 15893.884077 \tabularnewline
0.375 (2.6667) & 114094.126483 \tabularnewline
0.3854 (2.5946) & 71191.250616 \tabularnewline
0.3958 (2.5263) & 10919.445319 \tabularnewline
0.4062 (2.4615) & 352987.721217 \tabularnewline
0.4167 (2.4) & 1320190.237521 \tabularnewline
0.4271 (2.3415) & 24311.226134 \tabularnewline
0.4375 (2.2857) & 493396.46121 \tabularnewline
0.4479 (2.2326) & 61553.984182 \tabularnewline
0.4583 (2.1818) & 9331.271233 \tabularnewline
0.4688 (2.1333) & 36565.231 \tabularnewline
0.4792 (2.087) & 81437.092853 \tabularnewline
0.4896 (2.0426) & 26655.562251 \tabularnewline
0.5 (2) & 1088504.974037 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64452&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]0.0104 (96)[/C][C]482159.986546[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]92223.515107[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]191279.845752[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]239218.520877[/C][/ROW]
[ROW][C]0.0521 (19.2)[/C][C]86814.463709[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]16844.092866[/C][/ROW]
[ROW][C]0.0729 (13.7143)[/C][C]22605.802232[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]431855.142346[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]11344.316576[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]36516.01243[/C][/ROW]
[ROW][C]0.1146 (8.7273)[/C][C]23918.341027[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]212045.143246[/C][/ROW]
[ROW][C]0.1354 (7.3846)[/C][C]180744.720108[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]229615.6163[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]42244.679891[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]5547097.538097[/C][/ROW]
[ROW][C]0.1771 (5.6471)[/C][C]59523.394472[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]50537.658942[/C][/ROW]
[ROW][C]0.1979 (5.0526)[/C][C]40125.86984[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]134489.598471[/C][/ROW]
[ROW][C]0.2187 (4.5714)[/C][C]63596.070708[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]68895.096784[/C][/ROW]
[ROW][C]0.2396 (4.1739)[/C][C]58727.614248[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]2065622.620544[/C][/ROW]
[ROW][C]0.2604 (3.84)[/C][C]59674.372263[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]39106.254222[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]19191.065849[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]105514.744952[/C][/ROW]
[ROW][C]0.3021 (3.3103)[/C][C]10373.7584[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]7367.514714[/C][/ROW]
[ROW][C]0.3229 (3.0968)[/C][C]27133.872689[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]135974.992768[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]7560.661903[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]143324.638484[/C][/ROW]
[ROW][C]0.3646 (2.7429)[/C][C]15893.884077[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]114094.126483[/C][/ROW]
[ROW][C]0.3854 (2.5946)[/C][C]71191.250616[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]10919.445319[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]352987.721217[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1320190.237521[/C][/ROW]
[ROW][C]0.4271 (2.3415)[/C][C]24311.226134[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]493396.46121[/C][/ROW]
[ROW][C]0.4479 (2.2326)[/C][C]61553.984182[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]9331.271233[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]36565.231[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]81437.092853[/C][/ROW]
[ROW][C]0.4896 (2.0426)[/C][C]26655.562251[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1088504.974037[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64452&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64452&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
0.0104 (96)482159.986546
0.0208 (48)92223.515107
0.0312 (32)191279.845752
0.0417 (24)239218.520877
0.0521 (19.2)86814.463709
0.0625 (16)16844.092866
0.0729 (13.7143)22605.802232
0.0833 (12)431855.142346
0.0938 (10.6667)11344.316576
0.1042 (9.6)36516.01243
0.1146 (8.7273)23918.341027
0.125 (8)212045.143246
0.1354 (7.3846)180744.720108
0.1458 (6.8571)229615.6163
0.1562 (6.4)42244.679891
0.1667 (6)5547097.538097
0.1771 (5.6471)59523.394472
0.1875 (5.3333)50537.658942
0.1979 (5.0526)40125.86984
0.2083 (4.8)134489.598471
0.2187 (4.5714)63596.070708
0.2292 (4.3636)68895.096784
0.2396 (4.1739)58727.614248
0.25 (4)2065622.620544
0.2604 (3.84)59674.372263
0.2708 (3.6923)39106.254222
0.2812 (3.5556)19191.065849
0.2917 (3.4286)105514.744952
0.3021 (3.3103)10373.7584
0.3125 (3.2)7367.514714
0.3229 (3.0968)27133.872689
0.3333 (3)135974.992768
0.3438 (2.9091)7560.661903
0.3542 (2.8235)143324.638484
0.3646 (2.7429)15893.884077
0.375 (2.6667)114094.126483
0.3854 (2.5946)71191.250616
0.3958 (2.5263)10919.445319
0.4062 (2.4615)352987.721217
0.4167 (2.4)1320190.237521
0.4271 (2.3415)24311.226134
0.4375 (2.2857)493396.46121
0.4479 (2.2326)61553.984182
0.4583 (2.1818)9331.271233
0.4688 (2.1333)36565.231
0.4792 (2.087)81437.092853
0.4896 (2.0426)26655.562251
0.5 (2)1088504.974037


Figures (Output of Computation)

Input Parameters & R Code

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