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 computationMon, 05 Dec 2011 14:06:03 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2011/Dec/05/t1323111994e3v6j3cpugltbpq.htm/, Retrieved Fri, 03 May 2024 12:20:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=151184, Retrieved Fri, 03 May 2024 12:20:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact132

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       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMP         [Spectral Analysis] [Births] [2010-11-29 09:38:20] [b98453cac15ba1066b407e146608df68]
- R  D          [Spectral Analysis] [WS9 3.2 CP d=0, D=0] [2010-12-07 10:39:32] [afe9379cca749d06b3d6872e02cc47ed]
- R  D              [Spectral Analysis] [ws9-5] [2011-12-05 19:06:03] [47995d3a8fac585eeb070a274b466f8c] [Current]
-   P                 [Spectral Analysis] [ws9-6] [2011-12-05 19:20:03] [f7a862281046b7153543b12c78921b36]
-  M                    [Spectral Analysis] [paper2-6] [2011-12-21 20:51:57] [f7a862281046b7153543b12c78921b36]
-  M                  [Spectral Analysis] [paper2-5] [2011-12-21 20:51:15] [f7a862281046b7153543b12c78921b36]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1770
2203
2836
1976
2837
2150
2180
2631
1781
2327
2260
2051
2250
2102
2957
2485
2871
2447
2570
2622
1840
2682
2369
2119
2531
2214
3206
2709
2734
2348
2702
2642
2064
2647
2534
2297
2718
2321
3112
2664
2808
2668
2934
2616
2228
2463
2416
2407
2582
2101
3305
2818
2401
3019
2507
2948
2210
2467
2596
2451

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'AstonUniversity' @ aston.wessa.net

\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 & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151184&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151184&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151184&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'AstonUniversity' @ aston.wessa.net






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
0.0167 (60)37788.256819
0.0333 (30)6827.648547
0.05 (20)49116.213872
0.0667 (15)14209.220045
0.0833 (12)612745.757095
0.1 (10)8776.792607
0.1167 (8.5714)40227.677836
0.1333 (7.5)1469.630144
0.15 (6.6667)7187.879736
0.1667 (6)33423.671373
0.1833 (5.4545)26141.903109
0.2 (5)13599.802948
0.2167 (4.6154)18670.059929
0.2333 (4.2857)26200.262977
0.25 (4)300224.062229
0.2667 (3.75)7150.852464
0.2833 (3.5294)18293.418561
0.3 (3.3333)47968.281695
0.3167 (3.1579)1126.880042
0.3333 (3)30407.62137
0.35 (2.8571)252524.37984
0.3667 (2.7273)80968.971169
0.3833 (2.6087)42233.05014
0.4 (2.5)38252.571267
0.4167 (2.4)1020047.548466
0.4333 (2.3077)40935.903365
0.45 (2.2222)15768.990042
0.4667 (2.1429)24516.519908
0.4833 (2.069)41490.155271
0.5 (2)122210.38077

\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
0.0167 (60) & 37788.256819 \tabularnewline
0.0333 (30) & 6827.648547 \tabularnewline
0.05 (20) & 49116.213872 \tabularnewline
0.0667 (15) & 14209.220045 \tabularnewline
0.0833 (12) & 612745.757095 \tabularnewline
0.1 (10) & 8776.792607 \tabularnewline
0.1167 (8.5714) & 40227.677836 \tabularnewline
0.1333 (7.5) & 1469.630144 \tabularnewline
0.15 (6.6667) & 7187.879736 \tabularnewline
0.1667 (6) & 33423.671373 \tabularnewline
0.1833 (5.4545) & 26141.903109 \tabularnewline
0.2 (5) & 13599.802948 \tabularnewline
0.2167 (4.6154) & 18670.059929 \tabularnewline
0.2333 (4.2857) & 26200.262977 \tabularnewline
0.25 (4) & 300224.062229 \tabularnewline
0.2667 (3.75) & 7150.852464 \tabularnewline
0.2833 (3.5294) & 18293.418561 \tabularnewline
0.3 (3.3333) & 47968.281695 \tabularnewline
0.3167 (3.1579) & 1126.880042 \tabularnewline
0.3333 (3) & 30407.62137 \tabularnewline
0.35 (2.8571) & 252524.37984 \tabularnewline
0.3667 (2.7273) & 80968.971169 \tabularnewline
0.3833 (2.6087) & 42233.05014 \tabularnewline
0.4 (2.5) & 38252.571267 \tabularnewline
0.4167 (2.4) & 1020047.548466 \tabularnewline
0.4333 (2.3077) & 40935.903365 \tabularnewline
0.45 (2.2222) & 15768.990042 \tabularnewline
0.4667 (2.1429) & 24516.519908 \tabularnewline
0.4833 (2.069) & 41490.155271 \tabularnewline
0.5 (2) & 122210.38077 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=151184&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]0.0167 (60)[/C][C]37788.256819[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]6827.648547[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]49116.213872[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]14209.220045[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]612745.757095[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]8776.792607[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]40227.677836[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1469.630144[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]7187.879736[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]33423.671373[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]26141.903109[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]13599.802948[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]18670.059929[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]26200.262977[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]300224.062229[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]7150.852464[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]18293.418561[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]47968.281695[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]1126.880042[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]30407.62137[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]252524.37984[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]80968.971169[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]42233.05014[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]38252.571267[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1020047.548466[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]40935.903365[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]15768.990042[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]24516.519908[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]41490.155271[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]122210.38077[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=151184&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=151184&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
0.0167 (60)37788.256819
0.0333 (30)6827.648547
0.05 (20)49116.213872
0.0667 (15)14209.220045
0.0833 (12)612745.757095
0.1 (10)8776.792607
0.1167 (8.5714)40227.677836
0.1333 (7.5)1469.630144
0.15 (6.6667)7187.879736
0.1667 (6)33423.671373
0.1833 (5.4545)26141.903109
0.2 (5)13599.802948
0.2167 (4.6154)18670.059929
0.2333 (4.2857)26200.262977
0.25 (4)300224.062229
0.2667 (3.75)7150.852464
0.2833 (3.5294)18293.418561
0.3 (3.3333)47968.281695
0.3167 (3.1579)1126.880042
0.3333 (3)30407.62137
0.35 (2.8571)252524.37984
0.3667 (2.7273)80968.971169
0.3833 (2.6087)42233.05014
0.4 (2.5)38252.571267
0.4167 (2.4)1020047.548466
0.4333 (2.3077)40935.903365
0.45 (2.2222)15768.990042
0.4667 (2.1429)24516.519908
0.4833 (2.069)41490.155271
0.5 (2)122210.38077


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')