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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationWed, 04 Dec 2013 15:47:06 -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/2013/Dec/04/t138619012355xd0pd3z2yu4lm.htm/, Retrieved Thu, 28 Mar 2024 16:37:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230818, Retrieved Thu, 28 Mar 2024 16:37:07 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMPD    [Spectral Analysis] [] [2013-12-04 20:47:06] [be82f1b59bd963d0cf04f5c957f6be33] [Current]
- RMP       [ARIMA Backward Selection] [workshop 9 review 2] [2013-12-07 23:17:42] [4e6b221caf797a012ce5465db674848b]
- RMP       [ARIMA Forecasting] [workshop 9 review...] [2013-12-07 23:23:03] [4e6b221caf797a012ce5465db674848b]
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Dataseries X:
41
39
50
40
43
38
44
35
39
35
29
49
50
59
63
32
39
47
53
60
57
52
70
90
74
62
55
84
94
70
108
139
120
97
126
149
158
124
140
109
114
77
120
133
110
92
97
78
99
107
112
90
98
125
155
190
236
189
174
178
136
161
171
149
184
155
276
224
213
279
268
287
238
213
257
293
212
246
353
339
308
247
257
322
298
273
312
249
286
279
309
401
309
328
353
354
327
324
285
243
241
287
355
460
364
487
452
391
500
451
375
372
302
316
398
394
431
431




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230818&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230818&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230818&T=0

As an alternative you can also use a 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'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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0083 (120)33.187007
0.0167 (60)32.353667
0.025 (40)275.170094
0.0333 (30)10.952014
0.0417 (24)463.320679
0.05 (20)162.51515
0.0583 (17.1429)1393.103559
0.0667 (15)412.839526
0.075 (13.3333)2175.599692
0.0833 (12)3694.470782
0.0917 (10.9091)69.956136
0.1 (10)698.923119
0.1083 (9.2308)525.565295
0.1167 (8.5714)105.099668
0.125 (8)487.450081
0.1333 (7.5)415.187929
0.1417 (7.0588)286.877612
0.15 (6.6667)2198.73419
0.1583 (6.3158)276.735227
0.1667 (6)5707.878238
0.175 (5.7143)1042.993598
0.1833 (5.4545)34.384034
0.1917 (5.2174)132.035342
0.2 (5)350.527324
0.2083 (4.8)1314.829312
0.2167 (4.6154)554.23054
0.225 (4.4444)1725.568232
0.2333 (4.2857)4205.737857
0.2417 (4.1379)855.063612
0.25 (4)5921.215684
0.2583 (3.871)4214.87156
0.2667 (3.75)1594.343368
0.275 (3.6364)369.47594
0.2833 (3.5294)2294.350098
0.2917 (3.4286)149.15394
0.3 (3.3333)1098.965448
0.3083 (3.2432)1462.253333
0.3167 (3.1579)902.336661
0.325 (3.0769)2321.325358
0.3333 (3)1551.202787
0.3417 (2.9268)548.146535
0.35 (2.8571)6472.746985
0.3583 (2.7907)10957.283766
0.3667 (2.7273)5610.541797
0.375 (2.6667)446.872105
0.3833 (2.6087)4015.243777
0.3917 (2.5532)292.493508
0.4 (2.5)6080.124932
0.4083 (2.449)5851.867001
0.4167 (2.4)3174.191102
0.425 (2.3529)586.618454
0.4333 (2.3077)2165.706218
0.4417 (2.2642)650.112855
0.45 (2.2222)325.438945
0.4583 (2.1818)2376.905915
0.4667 (2.1429)466.285927
0.475 (2.1053)1145.682314
0.4833 (2.069)318.084747
0.4917 (2.0339)3063.743461
0.5 (2)167.8116

\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) & 0 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0083 (120) & 33.187007 \tabularnewline
0.0167 (60) & 32.353667 \tabularnewline
0.025 (40) & 275.170094 \tabularnewline
0.0333 (30) & 10.952014 \tabularnewline
0.0417 (24) & 463.320679 \tabularnewline
0.05 (20) & 162.51515 \tabularnewline
0.0583 (17.1429) & 1393.103559 \tabularnewline
0.0667 (15) & 412.839526 \tabularnewline
0.075 (13.3333) & 2175.599692 \tabularnewline
0.0833 (12) & 3694.470782 \tabularnewline
0.0917 (10.9091) & 69.956136 \tabularnewline
0.1 (10) & 698.923119 \tabularnewline
0.1083 (9.2308) & 525.565295 \tabularnewline
0.1167 (8.5714) & 105.099668 \tabularnewline
0.125 (8) & 487.450081 \tabularnewline
0.1333 (7.5) & 415.187929 \tabularnewline
0.1417 (7.0588) & 286.877612 \tabularnewline
0.15 (6.6667) & 2198.73419 \tabularnewline
0.1583 (6.3158) & 276.735227 \tabularnewline
0.1667 (6) & 5707.878238 \tabularnewline
0.175 (5.7143) & 1042.993598 \tabularnewline
0.1833 (5.4545) & 34.384034 \tabularnewline
0.1917 (5.2174) & 132.035342 \tabularnewline
0.2 (5) & 350.527324 \tabularnewline
0.2083 (4.8) & 1314.829312 \tabularnewline
0.2167 (4.6154) & 554.23054 \tabularnewline
0.225 (4.4444) & 1725.568232 \tabularnewline
0.2333 (4.2857) & 4205.737857 \tabularnewline
0.2417 (4.1379) & 855.063612 \tabularnewline
0.25 (4) & 5921.215684 \tabularnewline
0.2583 (3.871) & 4214.87156 \tabularnewline
0.2667 (3.75) & 1594.343368 \tabularnewline
0.275 (3.6364) & 369.47594 \tabularnewline
0.2833 (3.5294) & 2294.350098 \tabularnewline
0.2917 (3.4286) & 149.15394 \tabularnewline
0.3 (3.3333) & 1098.965448 \tabularnewline
0.3083 (3.2432) & 1462.253333 \tabularnewline
0.3167 (3.1579) & 902.336661 \tabularnewline
0.325 (3.0769) & 2321.325358 \tabularnewline
0.3333 (3) & 1551.202787 \tabularnewline
0.3417 (2.9268) & 548.146535 \tabularnewline
0.35 (2.8571) & 6472.746985 \tabularnewline
0.3583 (2.7907) & 10957.283766 \tabularnewline
0.3667 (2.7273) & 5610.541797 \tabularnewline
0.375 (2.6667) & 446.872105 \tabularnewline
0.3833 (2.6087) & 4015.243777 \tabularnewline
0.3917 (2.5532) & 292.493508 \tabularnewline
0.4 (2.5) & 6080.124932 \tabularnewline
0.4083 (2.449) & 5851.867001 \tabularnewline
0.4167 (2.4) & 3174.191102 \tabularnewline
0.425 (2.3529) & 586.618454 \tabularnewline
0.4333 (2.3077) & 2165.706218 \tabularnewline
0.4417 (2.2642) & 650.112855 \tabularnewline
0.45 (2.2222) & 325.438945 \tabularnewline
0.4583 (2.1818) & 2376.905915 \tabularnewline
0.4667 (2.1429) & 466.285927 \tabularnewline
0.475 (2.1053) & 1145.682314 \tabularnewline
0.4833 (2.069) & 318.084747 \tabularnewline
0.4917 (2.0339) & 3063.743461 \tabularnewline
0.5 (2) & 167.8116 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230818&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]0[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0083 (120)[/C][C]33.187007[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]32.353667[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]275.170094[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]10.952014[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]463.320679[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]162.51515[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]1393.103559[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]412.839526[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]2175.599692[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]3694.470782[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]69.956136[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]698.923119[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]525.565295[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]105.099668[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]487.450081[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]415.187929[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]286.877612[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]2198.73419[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]276.735227[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]5707.878238[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]1042.993598[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]34.384034[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]132.035342[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]350.527324[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]1314.829312[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]554.23054[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]1725.568232[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]4205.737857[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]855.063612[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]5921.215684[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]4214.87156[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]1594.343368[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]369.47594[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]2294.350098[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]149.15394[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1098.965448[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]1462.253333[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]902.336661[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]2321.325358[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1551.202787[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]548.146535[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]6472.746985[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]10957.283766[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]5610.541797[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]446.872105[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]4015.243777[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]292.493508[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]6080.124932[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]5851.867001[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]3174.191102[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]586.618454[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]2165.706218[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]650.112855[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]325.438945[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]2376.905915[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]466.285927[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]1145.682314[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]318.084747[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]3063.743461[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]167.8116[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230818&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230818&T=1

As an alternative you can also use a 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)0
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0083 (120)33.187007
0.0167 (60)32.353667
0.025 (40)275.170094
0.0333 (30)10.952014
0.0417 (24)463.320679
0.05 (20)162.51515
0.0583 (17.1429)1393.103559
0.0667 (15)412.839526
0.075 (13.3333)2175.599692
0.0833 (12)3694.470782
0.0917 (10.9091)69.956136
0.1 (10)698.923119
0.1083 (9.2308)525.565295
0.1167 (8.5714)105.099668
0.125 (8)487.450081
0.1333 (7.5)415.187929
0.1417 (7.0588)286.877612
0.15 (6.6667)2198.73419
0.1583 (6.3158)276.735227
0.1667 (6)5707.878238
0.175 (5.7143)1042.993598
0.1833 (5.4545)34.384034
0.1917 (5.2174)132.035342
0.2 (5)350.527324
0.2083 (4.8)1314.829312
0.2167 (4.6154)554.23054
0.225 (4.4444)1725.568232
0.2333 (4.2857)4205.737857
0.2417 (4.1379)855.063612
0.25 (4)5921.215684
0.2583 (3.871)4214.87156
0.2667 (3.75)1594.343368
0.275 (3.6364)369.47594
0.2833 (3.5294)2294.350098
0.2917 (3.4286)149.15394
0.3 (3.3333)1098.965448
0.3083 (3.2432)1462.253333
0.3167 (3.1579)902.336661
0.325 (3.0769)2321.325358
0.3333 (3)1551.202787
0.3417 (2.9268)548.146535
0.35 (2.8571)6472.746985
0.3583 (2.7907)10957.283766
0.3667 (2.7273)5610.541797
0.375 (2.6667)446.872105
0.3833 (2.6087)4015.243777
0.3917 (2.5532)292.493508
0.4 (2.5)6080.124932
0.4083 (2.449)5851.867001
0.4167 (2.4)3174.191102
0.425 (2.3529)586.618454
0.4333 (2.3077)2165.706218
0.4417 (2.2642)650.112855
0.45 (2.2222)325.438945
0.4583 (2.1818)2376.905915
0.4667 (2.1429)466.285927
0.475 (2.1053)1145.682314
0.4833 (2.069)318.084747
0.4917 (2.0339)3063.743461
0.5 (2)167.8116



Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 1 ; par3 = 0 ; par4 = 12 ;
R code (references can be found in the software module):
par4 <- '12'
par3 <- '0'
par2 <- '0'
par1 <- '1'
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')