FreeStatistics.org

Free Statistics

of Irreproducible Research!

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 computationThu, 10 Dec 2009 10:09:32 -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/10/t126046501505b3jsn2kcvk2gl.htm/, Retrieved Tue, 16 Apr 2024 18:44:01 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65609, Retrieved Tue, 16 Apr 2024 18:44:01 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127

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] [WS8.7] [2009-11-25 18:54:30] [626f1d98f4a7f05bcb9f17666b672c60]
-    D            [Spectral Analysis] [ws 9 spectrum] [2009-12-10 17:09:32] [dd4f17965cad1d38de7a1c062d32d75d] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2360
2214
2825
2355
2333
3016
2155
2172
2150
2533
2058
2160
2260
2498
2695
2799
2947
2930
2318
2540
2570
2669
2450
2842
3440
2678
2981
2260
2844
2546
2456
2295
2379
2479
2057
2280
2351
2276
2548
2311
2201
2725
2408
2139
1898
2537
2069
2063
2524
2437
2189
2793
2074
2622
2278
2144
2427
2139
1828
2072
1800
1758
2246
1987
1868
2514
2121

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=65609&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=65609&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65609&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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0139 (72)299607.592601
0.0278 (36)220633.580425
0.0417 (24)426058.136831
0.0556 (18)93768.807319
0.0694 (14.4)84150.20848
0.0833 (12)286942.769932
0.0972 (10.2857)84720.53961
0.1111 (9)67306.242991
0.125 (8)118866.268241
0.1389 (7.2)5695.575937
0.1528 (6.5455)42972.970102
0.1667 (6)5066.700861
0.1806 (5.5385)3345.028744
0.1944 (5.1429)33119.041868
0.2083 (4.8)35898.351435
0.2222 (4.5)41071.972594
0.2361 (4.2353)48205.877879
0.25 (4)159341.925513
0.2639 (3.7895)35941.500276
0.2778 (3.6)148539.516504
0.2917 (3.4286)13759.210804
0.3056 (3.2727)24173.013891
0.3194 (3.1304)20558.946413
0.3333 (3)215908.459207
0.3472 (2.88)70515.984922
0.3611 (2.7692)31773.620772
0.375 (2.6667)60921.947839
0.3889 (2.5714)63546.728684
0.4028 (2.4828)47651.879523
0.4167 (2.4)133995.379545
0.4306 (2.3226)80373.493732
0.4444 (2.25)23081.363783
0.4583 (2.1818)6889.103459
0.4722 (2.1176)197141.627848
0.4861 (2.0571)36715.660214
0.5 (2)61178.617434

\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) & 299607.592601 \tabularnewline
0.0278 (36) & 220633.580425 \tabularnewline
0.0417 (24) & 426058.136831 \tabularnewline
0.0556 (18) & 93768.807319 \tabularnewline
0.0694 (14.4) & 84150.20848 \tabularnewline
0.0833 (12) & 286942.769932 \tabularnewline
0.0972 (10.2857) & 84720.53961 \tabularnewline
0.1111 (9) & 67306.242991 \tabularnewline
0.125 (8) & 118866.268241 \tabularnewline
0.1389 (7.2) & 5695.575937 \tabularnewline
0.1528 (6.5455) & 42972.970102 \tabularnewline
0.1667 (6) & 5066.700861 \tabularnewline
0.1806 (5.5385) & 3345.028744 \tabularnewline
0.1944 (5.1429) & 33119.041868 \tabularnewline
0.2083 (4.8) & 35898.351435 \tabularnewline
0.2222 (4.5) & 41071.972594 \tabularnewline
0.2361 (4.2353) & 48205.877879 \tabularnewline
0.25 (4) & 159341.925513 \tabularnewline
0.2639 (3.7895) & 35941.500276 \tabularnewline
0.2778 (3.6) & 148539.516504 \tabularnewline
0.2917 (3.4286) & 13759.210804 \tabularnewline
0.3056 (3.2727) & 24173.013891 \tabularnewline
0.3194 (3.1304) & 20558.946413 \tabularnewline
0.3333 (3) & 215908.459207 \tabularnewline
0.3472 (2.88) & 70515.984922 \tabularnewline
0.3611 (2.7692) & 31773.620772 \tabularnewline
0.375 (2.6667) & 60921.947839 \tabularnewline
0.3889 (2.5714) & 63546.728684 \tabularnewline
0.4028 (2.4828) & 47651.879523 \tabularnewline
0.4167 (2.4) & 133995.379545 \tabularnewline
0.4306 (2.3226) & 80373.493732 \tabularnewline
0.4444 (2.25) & 23081.363783 \tabularnewline
0.4583 (2.1818) & 6889.103459 \tabularnewline
0.4722 (2.1176) & 197141.627848 \tabularnewline
0.4861 (2.0571) & 36715.660214 \tabularnewline
0.5 (2) & 61178.617434 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65609&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]299607.592601[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]220633.580425[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]426058.136831[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]93768.807319[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]84150.20848[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]286942.769932[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]84720.53961[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]67306.242991[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]118866.268241[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]5695.575937[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]42972.970102[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]5066.700861[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]3345.028744[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]33119.041868[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]35898.351435[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]41071.972594[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]48205.877879[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]159341.925513[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]35941.500276[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]148539.516504[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]13759.210804[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]24173.013891[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]20558.946413[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]215908.459207[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]70515.984922[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]31773.620772[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]60921.947839[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]63546.728684[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]47651.879523[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]133995.379545[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]80373.493732[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]23081.363783[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]6889.103459[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]197141.627848[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]36715.660214[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]61178.617434[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65609&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65609&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)299607.592601
0.0278 (36)220633.580425
0.0417 (24)426058.136831
0.0556 (18)93768.807319
0.0694 (14.4)84150.20848
0.0833 (12)286942.769932
0.0972 (10.2857)84720.53961
0.1111 (9)67306.242991
0.125 (8)118866.268241
0.1389 (7.2)5695.575937
0.1528 (6.5455)42972.970102
0.1667 (6)5066.700861
0.1806 (5.5385)3345.028744
0.1944 (5.1429)33119.041868
0.2083 (4.8)35898.351435
0.2222 (4.5)41071.972594
0.2361 (4.2353)48205.877879
0.25 (4)159341.925513
0.2639 (3.7895)35941.500276
0.2778 (3.6)148539.516504
0.2917 (3.4286)13759.210804
0.3056 (3.2727)24173.013891
0.3194 (3.1304)20558.946413
0.3333 (3)215908.459207
0.3472 (2.88)70515.984922
0.3611 (2.7692)31773.620772
0.375 (2.6667)60921.947839
0.3889 (2.5714)63546.728684
0.4028 (2.4828)47651.879523
0.4167 (2.4)133995.379545
0.4306 (2.3226)80373.493732
0.4444 (2.25)23081.363783
0.4583 (2.1818)6889.103459
0.4722 (2.1176)197141.627848
0.4861 (2.0571)36715.660214
0.5 (2)61178.617434


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')