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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, 14 Dec 2010 10:56:33 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/14/t1292324170efff5x8ypplew1b.htm/, Retrieved Thu, 02 May 2024 22:46:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=109397, Retrieved Thu, 02 May 2024 22:46:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [Faillissementen B...] [2010-12-14 10:56:33] [dcc54e7e6e8c80b7c45e040080afe6ab] [Current]
-   PD    [Spectral Analysis] [Faillissementen B...] [2010-12-14 10:59:56] [3074aa973ede76ac75d398946b01602f]
- RMPD    [Variance Reduction Matrix] [Faillissementen B...] [2010-12-14 11:02:14] [3074aa973ede76ac75d398946b01602f]
- RMPD    [Variance Reduction Matrix] [Faillissementen B...] [2010-12-14 11:02:14] [3074aa973ede76ac75d398946b01602f]
- RMPD    [Variance Reduction Matrix] [Faillissementen B...] [2010-12-14 11:02:14] [3074aa973ede76ac75d398946b01602f]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
89
97
154
81
110
116
73
73
174
103
130
91
136
106
136
122
131
135
75
68
143
115
93
128
152
125
107
116
220
137
34
51
153
145
116
145
98
118
139
140
113
149
79
47
166
180
122
134
114
125
181
142
143
187
137
62
239
157
139
187
99
146
175
148
130
183
115
80
223
131
201
157

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=109397&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=109397&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109397&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)283.041427
0.0278 (36)677.485869
0.0417 (24)502.956944
0.0556 (18)11.268372
0.0694 (14.4)483.394332
0.0833 (12)1456.359347
0.0972 (10.2857)458.138079
0.1111 (9)435.837848
0.125 (8)23.779827
0.1389 (7.2)123.424569
0.1528 (6.5455)255.566587
0.1667 (6)8329.701613
0.1806 (5.5385)1602.955222
0.1944 (5.1429)662.262163
0.2083 (4.8)489.207641
0.2222 (4.5)279.977837
0.2361 (4.2353)2501.750185
0.25 (4)7987.590992
0.2639 (3.7895)601.585332
0.2778 (3.6)485.489275
0.2917 (3.4286)1210.181757
0.3056 (3.2727)90.387254
0.3194 (3.1304)1041.668972
0.3333 (3)11900.865633
0.3472 (2.88)1874.864521
0.3611 (2.7692)890.178689
0.375 (2.6667)26.518903
0.3889 (2.5714)478.619471
0.4028 (2.4828)5.368635
0.4167 (2.4)1150.753391
0.4306 (2.3226)1581.356964
0.4444 (2.25)163.348572
0.4583 (2.1818)852.967016
0.4722 (2.1176)359.87235
0.4861 (2.0571)554.113337
0.5 (2)1352.757981

\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) & 283.041427 \tabularnewline
0.0278 (36) & 677.485869 \tabularnewline
0.0417 (24) & 502.956944 \tabularnewline
0.0556 (18) & 11.268372 \tabularnewline
0.0694 (14.4) & 483.394332 \tabularnewline
0.0833 (12) & 1456.359347 \tabularnewline
0.0972 (10.2857) & 458.138079 \tabularnewline
0.1111 (9) & 435.837848 \tabularnewline
0.125 (8) & 23.779827 \tabularnewline
0.1389 (7.2) & 123.424569 \tabularnewline
0.1528 (6.5455) & 255.566587 \tabularnewline
0.1667 (6) & 8329.701613 \tabularnewline
0.1806 (5.5385) & 1602.955222 \tabularnewline
0.1944 (5.1429) & 662.262163 \tabularnewline
0.2083 (4.8) & 489.207641 \tabularnewline
0.2222 (4.5) & 279.977837 \tabularnewline
0.2361 (4.2353) & 2501.750185 \tabularnewline
0.25 (4) & 7987.590992 \tabularnewline
0.2639 (3.7895) & 601.585332 \tabularnewline
0.2778 (3.6) & 485.489275 \tabularnewline
0.2917 (3.4286) & 1210.181757 \tabularnewline
0.3056 (3.2727) & 90.387254 \tabularnewline
0.3194 (3.1304) & 1041.668972 \tabularnewline
0.3333 (3) & 11900.865633 \tabularnewline
0.3472 (2.88) & 1874.864521 \tabularnewline
0.3611 (2.7692) & 890.178689 \tabularnewline
0.375 (2.6667) & 26.518903 \tabularnewline
0.3889 (2.5714) & 478.619471 \tabularnewline
0.4028 (2.4828) & 5.368635 \tabularnewline
0.4167 (2.4) & 1150.753391 \tabularnewline
0.4306 (2.3226) & 1581.356964 \tabularnewline
0.4444 (2.25) & 163.348572 \tabularnewline
0.4583 (2.1818) & 852.967016 \tabularnewline
0.4722 (2.1176) & 359.87235 \tabularnewline
0.4861 (2.0571) & 554.113337 \tabularnewline
0.5 (2) & 1352.757981 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=109397&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]283.041427[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]677.485869[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]502.956944[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]11.268372[/C][/ROW]
[ROW][C]0.0694 (14.4)[/C][C]483.394332[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]1456.359347[/C][/ROW]
[ROW][C]0.0972 (10.2857)[/C][C]458.138079[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]435.837848[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]23.779827[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]123.424569[/C][/ROW]
[ROW][C]0.1528 (6.5455)[/C][C]255.566587[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]8329.701613[/C][/ROW]
[ROW][C]0.1806 (5.5385)[/C][C]1602.955222[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]662.262163[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]489.207641[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]279.977837[/C][/ROW]
[ROW][C]0.2361 (4.2353)[/C][C]2501.750185[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]7987.590992[/C][/ROW]
[ROW][C]0.2639 (3.7895)[/C][C]601.585332[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]485.489275[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]1210.181757[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]90.387254[/C][/ROW]
[ROW][C]0.3194 (3.1304)[/C][C]1041.668972[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]11900.865633[/C][/ROW]
[ROW][C]0.3472 (2.88)[/C][C]1874.864521[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]890.178689[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]26.518903[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]478.619471[/C][/ROW]
[ROW][C]0.4028 (2.4828)[/C][C]5.368635[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]1150.753391[/C][/ROW]
[ROW][C]0.4306 (2.3226)[/C][C]1581.356964[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]163.348572[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]852.967016[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]359.87235[/C][/ROW]
[ROW][C]0.4861 (2.0571)[/C][C]554.113337[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1352.757981[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=109397&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=109397&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)283.041427
0.0278 (36)677.485869
0.0417 (24)502.956944
0.0556 (18)11.268372
0.0694 (14.4)483.394332
0.0833 (12)1456.359347
0.0972 (10.2857)458.138079
0.1111 (9)435.837848
0.125 (8)23.779827
0.1389 (7.2)123.424569
0.1528 (6.5455)255.566587
0.1667 (6)8329.701613
0.1806 (5.5385)1602.955222
0.1944 (5.1429)662.262163
0.2083 (4.8)489.207641
0.2222 (4.5)279.977837
0.2361 (4.2353)2501.750185
0.25 (4)7987.590992
0.2639 (3.7895)601.585332
0.2778 (3.6)485.489275
0.2917 (3.4286)1210.181757
0.3056 (3.2727)90.387254
0.3194 (3.1304)1041.668972
0.3333 (3)11900.865633
0.3472 (2.88)1874.864521
0.3611 (2.7692)890.178689
0.375 (2.6667)26.518903
0.3889 (2.5714)478.619471
0.4028 (2.4828)5.368635
0.4167 (2.4)1150.753391
0.4306 (2.3226)1581.356964
0.4444 (2.25)163.348572
0.4583 (2.1818)852.967016
0.4722 (2.1176)359.87235
0.4861 (2.0571)554.113337
0.5 (2)1352.757981


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')