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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 computationFri, 23 Dec 2011 13:50:40 -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/23/t1324666273df2j2j1v21ot65n.htm/, Retrieved Mon, 29 Apr 2024 19:40:36 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=160643, Retrieved Mon, 29 Apr 2024 19:40:36 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [] [2011-12-23 18:50:40] [393d554610c677f923bed472882d0fdb] [Current]
- RM      [Spectral Analysis] [] [2011-12-23 18:51:29] [2ba7ee2cbaa966a49160c7cfb7436069]
- R P     [Spectral Analysis] [] [2011-12-23 18:52:30] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [(Partial) Autocorrelation Function] [] [2011-12-23 18:56:38] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [(Partial) Autocorrelation Function] [] [2011-12-23 18:57:39] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [(Partial) Autocorrelation Function] [] [2011-12-23 18:58:24] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [(Partial) Autocorrelation Function] [] [2011-12-23 18:59:14] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [Standard Deviation-Mean Plot] [] [2011-12-23 19:01:42] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [ARIMA Backward Selection] [] [2011-12-23 19:11:23] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [ARIMA Forecasting] [] [2011-12-23 19:24:36] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [Exponential Smoothing] [] [2011-12-23 20:01:27] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [Exponential Smoothing] [] [2011-12-23 20:08:29] [2ba7ee2cbaa966a49160c7cfb7436069]
- RMP     [Exponential Smoothing] [] [2011-12-23 20:11:27] [2ba7ee2cbaa966a49160c7cfb7436069]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
302
262
218
175
100
77
43
47
49
69
152
205
246
294
242
181
107
56
49
47
47
71
151
244
280
230
185
148
98
61
46
45
55
48
115
185
276
220
181
151
83
55
49
42
46
74
103
200
237
247
215
182
80
46
65
40
44
63
85
185
247
231
167
117
79
45
40
38
41
69
152
232
282
255
161
107
53
40
39
34
35
56
97
210
260
257
210
125
80
42
35
31
32
50
92
189
256
250
198
136
73
39
32
30
31
45

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160643&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160643&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160643&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'Gertrude Mary Cox' @ cox.wessa.net






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)1
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0104 (96)31.360881
0.0208 (48)16.074412
0.0312 (32)59.811865
0.0417 (24)129.337693
0.0521 (19.2)252.508491
0.0625 (16)365.246246
0.0729 (13.7143)184.705237
0.0833 (12)6.282502
0.0938 (10.6667)23.666336
0.1042 (9.6)1152.105017
0.1146 (8.7273)3.836726
0.125 (8)1206.165036
0.1354 (7.3846)382.378335
0.1458 (6.8571)2149.269094
0.1562 (6.4)69.397709
0.1667 (6)105.731639
0.1771 (5.6471)1.635069
0.1875 (5.3333)1666.395599
0.1979 (5.0526)661.141909
0.2083 (4.8)844.407852
0.2188 (4.5714)2586.282594
0.2292 (4.3636)807.79417
0.2396 (4.1739)499.197946
0.25 (4)138.178638
0.2604 (3.84)343.289917
0.2708 (3.6923)614.855025
0.2812 (3.5556)387.422754
0.2917 (3.4286)493.712764
0.3021 (3.3103)899.586372
0.3125 (3.2)550.143524
0.3229 (3.0968)983.885914
0.3333 (3)185.13469
0.3438 (2.9091)688.010969
0.3542 (2.8235)217.39188
0.3646 (2.7429)965.740377
0.375 (2.6667)470.811462
0.3854 (2.5946)4496.293555
0.3958 (2.5263)376.998107
0.4062 (2.4615)148.196586
0.4167 (2.4)132.035708
0.4271 (2.3415)75.666539
0.4375 (2.2857)907.75186
0.4479 (2.2326)918.89325
0.4583 (2.1818)1100.990859
0.4688 (2.1333)2682.546354
0.4792 (2.087)759.076202
0.4896 (2.0426)237.916893
0.5 (2)24.405595

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0104 (96) & 31.360881 \tabularnewline
0.0208 (48) & 16.074412 \tabularnewline
0.0312 (32) & 59.811865 \tabularnewline
0.0417 (24) & 129.337693 \tabularnewline
0.0521 (19.2) & 252.508491 \tabularnewline
0.0625 (16) & 365.246246 \tabularnewline
0.0729 (13.7143) & 184.705237 \tabularnewline
0.0833 (12) & 6.282502 \tabularnewline
0.0938 (10.6667) & 23.666336 \tabularnewline
0.1042 (9.6) & 1152.105017 \tabularnewline
0.1146 (8.7273) & 3.836726 \tabularnewline
0.125 (8) & 1206.165036 \tabularnewline
0.1354 (7.3846) & 382.378335 \tabularnewline
0.1458 (6.8571) & 2149.269094 \tabularnewline
0.1562 (6.4) & 69.397709 \tabularnewline
0.1667 (6) & 105.731639 \tabularnewline
0.1771 (5.6471) & 1.635069 \tabularnewline
0.1875 (5.3333) & 1666.395599 \tabularnewline
0.1979 (5.0526) & 661.141909 \tabularnewline
0.2083 (4.8) & 844.407852 \tabularnewline
0.2188 (4.5714) & 2586.282594 \tabularnewline
0.2292 (4.3636) & 807.79417 \tabularnewline
0.2396 (4.1739) & 499.197946 \tabularnewline
0.25 (4) & 138.178638 \tabularnewline
0.2604 (3.84) & 343.289917 \tabularnewline
0.2708 (3.6923) & 614.855025 \tabularnewline
0.2812 (3.5556) & 387.422754 \tabularnewline
0.2917 (3.4286) & 493.712764 \tabularnewline
0.3021 (3.3103) & 899.586372 \tabularnewline
0.3125 (3.2) & 550.143524 \tabularnewline
0.3229 (3.0968) & 983.885914 \tabularnewline
0.3333 (3) & 185.13469 \tabularnewline
0.3438 (2.9091) & 688.010969 \tabularnewline
0.3542 (2.8235) & 217.39188 \tabularnewline
0.3646 (2.7429) & 965.740377 \tabularnewline
0.375 (2.6667) & 470.811462 \tabularnewline
0.3854 (2.5946) & 4496.293555 \tabularnewline
0.3958 (2.5263) & 376.998107 \tabularnewline
0.4062 (2.4615) & 148.196586 \tabularnewline
0.4167 (2.4) & 132.035708 \tabularnewline
0.4271 (2.3415) & 75.666539 \tabularnewline
0.4375 (2.2857) & 907.75186 \tabularnewline
0.4479 (2.2326) & 918.89325 \tabularnewline
0.4583 (2.1818) & 1100.990859 \tabularnewline
0.4688 (2.1333) & 2682.546354 \tabularnewline
0.4792 (2.087) & 759.076202 \tabularnewline
0.4896 (2.0426) & 237.916893 \tabularnewline
0.5 (2) & 24.405595 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=160643&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]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0104 (96)[/C][C]31.360881[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]16.074412[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]59.811865[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]129.337693[/C][/ROW]
[ROW][C]0.0521 (19.2)[/C][C]252.508491[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]365.246246[/C][/ROW]
[ROW][C]0.0729 (13.7143)[/C][C]184.705237[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]6.282502[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]23.666336[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]1152.105017[/C][/ROW]
[ROW][C]0.1146 (8.7273)[/C][C]3.836726[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]1206.165036[/C][/ROW]
[ROW][C]0.1354 (7.3846)[/C][C]382.378335[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]2149.269094[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]69.397709[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]105.731639[/C][/ROW]
[ROW][C]0.1771 (5.6471)[/C][C]1.635069[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]1666.395599[/C][/ROW]
[ROW][C]0.1979 (5.0526)[/C][C]661.141909[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]844.407852[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]2586.282594[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]807.79417[/C][/ROW]
[ROW][C]0.2396 (4.1739)[/C][C]499.197946[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]138.178638[/C][/ROW]
[ROW][C]0.2604 (3.84)[/C][C]343.289917[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]614.855025[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]387.422754[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]493.712764[/C][/ROW]
[ROW][C]0.3021 (3.3103)[/C][C]899.586372[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]550.143524[/C][/ROW]
[ROW][C]0.3229 (3.0968)[/C][C]983.885914[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]185.13469[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]688.010969[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]217.39188[/C][/ROW]
[ROW][C]0.3646 (2.7429)[/C][C]965.740377[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]470.811462[/C][/ROW]
[ROW][C]0.3854 (2.5946)[/C][C]4496.293555[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]376.998107[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]148.196586[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]132.035708[/C][/ROW]
[ROW][C]0.4271 (2.3415)[/C][C]75.666539[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]907.75186[/C][/ROW]
[ROW][C]0.4479 (2.2326)[/C][C]918.89325[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]1100.990859[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]2682.546354[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]759.076202[/C][/ROW]
[ROW][C]0.4896 (2.0426)[/C][C]237.916893[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]24.405595[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=160643&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=160643&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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0104 (96)31.360881
0.0208 (48)16.074412
0.0312 (32)59.811865
0.0417 (24)129.337693
0.0521 (19.2)252.508491
0.0625 (16)365.246246
0.0729 (13.7143)184.705237
0.0833 (12)6.282502
0.0938 (10.6667)23.666336
0.1042 (9.6)1152.105017
0.1146 (8.7273)3.836726
0.125 (8)1206.165036
0.1354 (7.3846)382.378335
0.1458 (6.8571)2149.269094
0.1562 (6.4)69.397709
0.1667 (6)105.731639
0.1771 (5.6471)1.635069
0.1875 (5.3333)1666.395599
0.1979 (5.0526)661.141909
0.2083 (4.8)844.407852
0.2188 (4.5714)2586.282594
0.2292 (4.3636)807.79417
0.2396 (4.1739)499.197946
0.25 (4)138.178638
0.2604 (3.84)343.289917
0.2708 (3.6923)614.855025
0.2812 (3.5556)387.422754
0.2917 (3.4286)493.712764
0.3021 (3.3103)899.586372
0.3125 (3.2)550.143524
0.3229 (3.0968)983.885914
0.3333 (3)185.13469
0.3438 (2.9091)688.010969
0.3542 (2.8235)217.39188
0.3646 (2.7429)965.740377
0.375 (2.6667)470.811462
0.3854 (2.5946)4496.293555
0.3958 (2.5263)376.998107
0.4062 (2.4615)148.196586
0.4167 (2.4)132.035708
0.4271 (2.3415)75.666539
0.4375 (2.2857)907.75186
0.4479 (2.2326)918.89325
0.4583 (2.1818)1100.990859
0.4688 (2.1333)2682.546354
0.4792 (2.087)759.076202
0.4896 (2.0426)237.916893
0.5 (2)24.405595


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 = 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')