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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 computationSat, 28 Nov 2009 07:52:13 -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/28/t1259420024m64arc6vf134yar.htm/, Retrieved Fri, 03 May 2024 06:47:13 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61484, Retrieved Fri, 03 May 2024 06:47:13 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

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]
F   PD          [Spectral Analysis] [WS8 Spectrum D=1] [2009-11-28 14:52:13] [85defb7a20869746625978e6577e6e44] [Current]
Feedback Forum
2009-12-05 15:25:46 [f1e24346ff4ab8a20729561498ad5c34] [reply] 
Wat je op het Cumulative Periodogram nog ziet is de e[t] van ons model. De reeks ligt nog niet mooi op de diagonaal dus er zijn nog dingen die we moeten verklaren.

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
683
1099
1124
1136
2374
4354
3341
4428
2066
1310
1031
1123
729
936
1005
1146
2515
3577
2911
4241
1972
1310
957
1062
747
924
948
1301
2373
3265
3698
3621
2054
1326
837
1260
779
980
1008
1218
2278
3000
3584
3718
2153
1428
990
1256
742
964
1037
1201
1863
3251
3380
3630
2308
1218
899
1228
836
959
1163
1071
1958
3813
4001
3823
2306
1351
1066
1124
797
1094
1110
1195
2321
3576
3145
5487
2225
1618
1122
1435

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'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 & 1 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61484&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61484&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61484&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'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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)8952.589047
0.0278 (36)59146.495606
0.0417 (24)8712.958906
0.0556 (18)151299.701225
0.0694 (14.4)58956.298566
0.0833 (12)16351.606524
0.0972 (10.2857)66281.730312
0.1111 (9)23049.969056
0.125 (8)1806.183856
0.1389 (7.2)124900.45656
0.1528 (6.5455)50851.480438
0.1667 (6)35510.690671
0.1806 (5.5385)31380.73735
0.1944 (5.1429)91887.039057
0.2083 (4.8)37658.030696
0.2222 (4.5)157274.367299
0.2361 (4.2353)46644.484884
0.25 (4)19132.624038
0.2639 (3.7895)129412.618506
0.2778 (3.6)91791.365629
0.2917 (3.4286)16417.626552
0.3056 (3.2727)294109.604799
0.3194 (3.1304)32824.097205
0.3333 (3)14141.938647
0.3472 (2.88)403543.431084
0.3611 (2.7692)107821.963691
0.375 (2.6667)15588.931775
0.3889 (2.5714)236031.853171
0.4028 (2.4828)28089.619302
0.4167 (2.4)2682.365597
0.4306 (2.3226)307441.551238
0.4444 (2.25)62452.773067
0.4583 (2.1818)32624.293232
0.4722 (2.1176)143118.835169
0.4861 (2.0571)73232.016411
0.5 (2)8.723847

\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
0.0139 (72) & 8952.589047 \tabularnewline
0.0278 (36) & 59146.495606 \tabularnewline
0.0417 (24) & 8712.958906 \tabularnewline
0.0556 (18) & 151299.701225 \tabularnewline
0.0694 (14.4) & 58956.298566 \tabularnewline
0.0833 (12) & 16351.606524 \tabularnewline
0.0972 (10.2857) & 66281.730312 \tabularnewline
0.1111 (9) & 23049.969056 \tabularnewline
0.125 (8) & 1806.183856 \tabularnewline
0.1389 (7.2) & 124900.45656 \tabularnewline
0.1528 (6.5455) & 50851.480438 \tabularnewline
0.1667 (6) & 35510.690671 \tabularnewline
0.1806 (5.5385) & 31380.73735 \tabularnewline
0.1944 (5.1429) & 91887.039057 \tabularnewline
0.2083 (4.8) & 37658.030696 \tabularnewline
0.2222 (4.5) & 157274.367299 \tabularnewline
0.2361 (4.2353) & 46644.484884 \tabularnewline
0.25 (4) & 19132.624038 \tabularnewline
0.2639 (3.7895) & 129412.618506 \tabularnewline
0.2778 (3.6) & 91791.365629 \tabularnewline
0.2917 (3.4286) & 16417.626552 \tabularnewline
0.3056 (3.2727) & 294109.604799 \tabularnewline
0.3194 (3.1304) & 32824.097205 \tabularnewline
0.3333 (3) & 14141.938647 \tabularnewline
0.3472 (2.88) & 403543.431084 \tabularnewline
0.3611 (2.7692) & 107821.963691 \tabularnewline
0.375 (2.6667) & 15588.931775 \tabularnewline
0.3889 (2.5714) & 236031.853171 \tabularnewline
0.4028 (2.4828) & 28089.619302 \tabularnewline
0.4167 (2.4) & 2682.365597 \tabularnewline
0.4306 (2.3226) & 307441.551238 \tabularnewline
0.4444 (2.25) & 62452.773067 \tabularnewline
0.4583 (2.1818) & 32624.293232 \tabularnewline
0.4722 (2.1176) & 143118.835169 \tabularnewline
0.4861 (2.0571) & 73232.016411 \tabularnewline
0.5 (2) & 8.723847 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61484&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]0.0139 (72)[/C][C]8952.589047[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]59146.495606[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]8712.958906[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]151299.701225[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]58956.298566[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]16351.606524[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]66281.730312[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]23049.969056[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]1806.183856[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]124900.45656[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]50851.480438[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]35510.690671[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]31380.73735[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]91887.039057[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]37658.030696[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]157274.367299[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]46644.484884[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]19132.624038[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]129412.618506[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]91791.365629[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]16417.626552[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]294109.604799[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]32824.097205[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]14141.938647[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]403543.431084[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]107821.963691[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]15588.931775[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]236031.853171[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]28089.619302[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2682.365597[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]307441.551238[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]62452.773067[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]32624.293232[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]143118.835169[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]73232.016411[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]8.723847[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61484&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61484&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
0.0139 (72)8952.589047
0.0278 (36)59146.495606
0.0417 (24)8712.958906
0.0556 (18)151299.701225
0.0694 (14.4)58956.298566
0.0833 (12)16351.606524
0.0972 (10.2857)66281.730312
0.1111 (9)23049.969056
0.125 (8)1806.183856
0.1389 (7.2)124900.45656
0.1528 (6.5455)50851.480438
0.1667 (6)35510.690671
0.1806 (5.5385)31380.73735
0.1944 (5.1429)91887.039057
0.2083 (4.8)37658.030696
0.2222 (4.5)157274.367299
0.2361 (4.2353)46644.484884
0.25 (4)19132.624038
0.2639 (3.7895)129412.618506
0.2778 (3.6)91791.365629
0.2917 (3.4286)16417.626552
0.3056 (3.2727)294109.604799
0.3194 (3.1304)32824.097205
0.3333 (3)14141.938647
0.3472 (2.88)403543.431084
0.3611 (2.7692)107821.963691
0.375 (2.6667)15588.931775
0.3889 (2.5714)236031.853171
0.4028 (2.4828)28089.619302
0.4167 (2.4)2682.365597
0.4306 (2.3226)307441.551238
0.4444 (2.25)62452.773067
0.4583 (2.1818)32624.293232
0.4722 (2.1176)143118.835169
0.4861 (2.0571)73232.016411
0.5 (2)8.723847


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 ;
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')