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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 computationMon, 03 Dec 2018 14:22:56 +0100
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2018/Dec/03/t1543843640fbkghut2rkh2j9h.htm/, Retrieved Thu, 02 May 2024 07:22:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=315748, Retrieved Thu, 02 May 2024 07:22:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPoging 1
Estimated Impact93

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [Bouwvergunningen ...] [2018-12-03 13:22:56] [8461d222e3d4721e1dda75c02aa40f8f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
241.066666666664
300.166666666668
312.166666666668
485.066666666666
790.237037037037
186.125925925927
141.792592592594
-413.54074074074
383.014814814814
-96.9851851851853
111.57037037037
43.9037037037033
112.451851851852
164.551851851852
-18.4481481481483
-14.5481481481481
-236.377777777778
-153.488888888889
-228.822222222222
-300.155555555555
-197.6
144.4
125.955555555555
-49.7111111111115
-306.162962962963
294.937037037037
56.9370370370369
-169.162962962963
40.0074074074074
75.8962962962962
-518.437037037037
250.22962962963
-260.214814814815
109.785185185185
72.3407407407407
28.6740740740737
334.222222222222
-43.6777777777776
-96.677777777778
-88.7777777777777
-667.607407407408
-548.718518518519
-415.051851851852
-526.385185185185
-444.82962962963
68.1703703703704
-80.274074074074
302.059259259259
105.607407407408
-21.2925925925924
-52.2925925925928
-244.392592592593
-356.222222222222
-106.333333333333
341.333333333333
839
1116.55555555556
1176.55555555556
218.111111111111
-378.555555555556
-701.007407407407
-549.907407407407
-406.907407407408
-385.007407407407
-547.837037037037
-446.948148148148
-441.281481481482
-547.614814814815
91.9407407407407
-388.059259259259
-259.503703703703
203.829629629629
132.377777777778
-189.522222222222
149.477777777778
313.377777777778
224.548148148148
92.4370370370371
61.1037037037035
-50.2296296296295
-62.6740740740741
-177.674074074074
74.8814814814816
5.21481481481463
-61.2370370370368
31.8629629629632
61.8629629629628
-232.237037037037
-64.0666666666666
-232.177777777778
-308.511111111111
-91.8444444444442
-233.288888888889
-210.288888888889
189.266666666667
-18.4000000000003
133.148148148148
172.248148148148
107.248148148148
352.148148148148
817.318518518518
1133.20740740741
1367.87407407407
840.540740740741
-392.903703703704
-625.903703703704
-452.348148148148
-137.014814814815
9.5333333333337
-159.366666666666
-113.366666666667
-16.4666666666664

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315748&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=315748&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315748&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






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)1
Frequency (Period)Spectrum
0.0083 (120)357357.780725
0.0167 (60)127863.464474
0.025 (40)173384.018882
0.0333 (30)50181.037682
0.0417 (24)1966641.925355
0.05 (20)465520.071813
0.0583 (17.1429)111651.292619
0.0667 (15)570461.901902
0.075 (13.3333)275778.371455
0.0833 (12)25263.727725
0.0917 (10.9091)1014770.759019
0.1 (10)138348.937924
0.1083 (9.2308)732456.210432
0.1167 (8.5714)224294.773688
0.125 (8)182714.663076
0.1333 (7.5)436025.566727
0.1417 (7.0588)9045.823324
0.15 (6.6667)281071.66556
0.1583 (6.3158)175376.053911
0.1667 (6)131.86285
0.175 (5.7143)184794.817101
0.1833 (5.4545)43658.081619
0.1917 (5.2174)29051.418555
0.2 (5)116293.7535
0.2083 (4.8)5073.724821
0.2167 (4.6154)3349.97299
0.225 (4.4444)61310.711073
0.2333 (4.2857)36218.755235
0.2417 (4.1379)14086.443367
0.25 (4)5101.58721
0.2583 (3.871)35727.443414
0.2667 (3.75)16719.351837
0.275 (3.6364)29133.447483
0.2833 (3.5294)90960.580158
0.2917 (3.4286)1890.42633
0.3 (3.3333)83995.160269
0.3083 (3.2432)21719.279662
0.3167 (3.1579)6804.491405
0.325 (3.0769)19462.996963
0.3333 (3)1120.857869
0.3417 (2.9268)43089.297588
0.35 (2.8571)182503.004929
0.3583 (2.7907)6066.708562
0.3667 (2.7273)57507.971739
0.375 (2.6667)38096.881095
0.3833 (2.6087)68142.726426
0.3917 (2.5532)15990.34985
0.4 (2.5)29498.591953
0.4083 (2.449)2825.374388
0.4167 (2.4)119.295983
0.425 (2.3529)9642.515471
0.4333 (2.3077)101796.274633
0.4417 (2.2642)9482.837827
0.45 (2.2222)4275.557591
0.4583 (2.1818)292.122347
0.4667 (2.1429)37330.71816
0.475 (2.1053)27035.328333
0.4833 (2.069)47234.036133
0.4917 (2.0339)62741.556705
0.5 (2)2250.006205

\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) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0083 (120) & 357357.780725 \tabularnewline
0.0167 (60) & 127863.464474 \tabularnewline
0.025 (40) & 173384.018882 \tabularnewline
0.0333 (30) & 50181.037682 \tabularnewline
0.0417 (24) & 1966641.925355 \tabularnewline
0.05 (20) & 465520.071813 \tabularnewline
0.0583 (17.1429) & 111651.292619 \tabularnewline
0.0667 (15) & 570461.901902 \tabularnewline
0.075 (13.3333) & 275778.371455 \tabularnewline
0.0833 (12) & 25263.727725 \tabularnewline
0.0917 (10.9091) & 1014770.759019 \tabularnewline
0.1 (10) & 138348.937924 \tabularnewline
0.1083 (9.2308) & 732456.210432 \tabularnewline
0.1167 (8.5714) & 224294.773688 \tabularnewline
0.125 (8) & 182714.663076 \tabularnewline
0.1333 (7.5) & 436025.566727 \tabularnewline
0.1417 (7.0588) & 9045.823324 \tabularnewline
0.15 (6.6667) & 281071.66556 \tabularnewline
0.1583 (6.3158) & 175376.053911 \tabularnewline
0.1667 (6) & 131.86285 \tabularnewline
0.175 (5.7143) & 184794.817101 \tabularnewline
0.1833 (5.4545) & 43658.081619 \tabularnewline
0.1917 (5.2174) & 29051.418555 \tabularnewline
0.2 (5) & 116293.7535 \tabularnewline
0.2083 (4.8) & 5073.724821 \tabularnewline
0.2167 (4.6154) & 3349.97299 \tabularnewline
0.225 (4.4444) & 61310.711073 \tabularnewline
0.2333 (4.2857) & 36218.755235 \tabularnewline
0.2417 (4.1379) & 14086.443367 \tabularnewline
0.25 (4) & 5101.58721 \tabularnewline
0.2583 (3.871) & 35727.443414 \tabularnewline
0.2667 (3.75) & 16719.351837 \tabularnewline
0.275 (3.6364) & 29133.447483 \tabularnewline
0.2833 (3.5294) & 90960.580158 \tabularnewline
0.2917 (3.4286) & 1890.42633 \tabularnewline
0.3 (3.3333) & 83995.160269 \tabularnewline
0.3083 (3.2432) & 21719.279662 \tabularnewline
0.3167 (3.1579) & 6804.491405 \tabularnewline
0.325 (3.0769) & 19462.996963 \tabularnewline
0.3333 (3) & 1120.857869 \tabularnewline
0.3417 (2.9268) & 43089.297588 \tabularnewline
0.35 (2.8571) & 182503.004929 \tabularnewline
0.3583 (2.7907) & 6066.708562 \tabularnewline
0.3667 (2.7273) & 57507.971739 \tabularnewline
0.375 (2.6667) & 38096.881095 \tabularnewline
0.3833 (2.6087) & 68142.726426 \tabularnewline
0.3917 (2.5532) & 15990.34985 \tabularnewline
0.4 (2.5) & 29498.591953 \tabularnewline
0.4083 (2.449) & 2825.374388 \tabularnewline
0.4167 (2.4) & 119.295983 \tabularnewline
0.425 (2.3529) & 9642.515471 \tabularnewline
0.4333 (2.3077) & 101796.274633 \tabularnewline
0.4417 (2.2642) & 9482.837827 \tabularnewline
0.45 (2.2222) & 4275.557591 \tabularnewline
0.4583 (2.1818) & 292.122347 \tabularnewline
0.4667 (2.1429) & 37330.71816 \tabularnewline
0.475 (2.1053) & 27035.328333 \tabularnewline
0.4833 (2.069) & 47234.036133 \tabularnewline
0.4917 (2.0339) & 62741.556705 \tabularnewline
0.5 (2) & 2250.006205 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=315748&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]1[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0083 (120)[/C][C]357357.780725[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]127863.464474[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]173384.018882[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]50181.037682[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]1966641.925355[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]465520.071813[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]111651.292619[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]570461.901902[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]275778.371455[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]25263.727725[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]1014770.759019[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]138348.937924[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]732456.210432[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]224294.773688[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]182714.663076[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]436025.566727[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]9045.823324[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]281071.66556[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]175376.053911[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]131.86285[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]184794.817101[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]43658.081619[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]29051.418555[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]116293.7535[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]5073.724821[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]3349.97299[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]61310.711073[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]36218.755235[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]14086.443367[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]5101.58721[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]35727.443414[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]16719.351837[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]29133.447483[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]90960.580158[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]1890.42633[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]83995.160269[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]21719.279662[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]6804.491405[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]19462.996963[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]1120.857869[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]43089.297588[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]182503.004929[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]6066.708562[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]57507.971739[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]38096.881095[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]68142.726426[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]15990.34985[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]29498.591953[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]2825.374388[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]119.295983[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]9642.515471[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]101796.274633[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]9482.837827[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]4275.557591[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]292.122347[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]37330.71816[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]27035.328333[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]47234.036133[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]62741.556705[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]2250.006205[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=315748&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=315748&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)1
Frequency (Period)Spectrum
0.0083 (120)357357.780725
0.0167 (60)127863.464474
0.025 (40)173384.018882
0.0333 (30)50181.037682
0.0417 (24)1966641.925355
0.05 (20)465520.071813
0.0583 (17.1429)111651.292619
0.0667 (15)570461.901902
0.075 (13.3333)275778.371455
0.0833 (12)25263.727725
0.0917 (10.9091)1014770.759019
0.1 (10)138348.937924
0.1083 (9.2308)732456.210432
0.1167 (8.5714)224294.773688
0.125 (8)182714.663076
0.1333 (7.5)436025.566727
0.1417 (7.0588)9045.823324
0.15 (6.6667)281071.66556
0.1583 (6.3158)175376.053911
0.1667 (6)131.86285
0.175 (5.7143)184794.817101
0.1833 (5.4545)43658.081619
0.1917 (5.2174)29051.418555
0.2 (5)116293.7535
0.2083 (4.8)5073.724821
0.2167 (4.6154)3349.97299
0.225 (4.4444)61310.711073
0.2333 (4.2857)36218.755235
0.2417 (4.1379)14086.443367
0.25 (4)5101.58721
0.2583 (3.871)35727.443414
0.2667 (3.75)16719.351837
0.275 (3.6364)29133.447483
0.2833 (3.5294)90960.580158
0.2917 (3.4286)1890.42633
0.3 (3.3333)83995.160269
0.3083 (3.2432)21719.279662
0.3167 (3.1579)6804.491405
0.325 (3.0769)19462.996963
0.3333 (3)1120.857869
0.3417 (2.9268)43089.297588
0.35 (2.8571)182503.004929
0.3583 (2.7907)6066.708562
0.3667 (2.7273)57507.971739
0.375 (2.6667)38096.881095
0.3833 (2.6087)68142.726426
0.3917 (2.5532)15990.34985
0.4 (2.5)29498.591953
0.4083 (2.449)2825.374388
0.4167 (2.4)119.295983
0.425 (2.3529)9642.515471
0.4333 (2.3077)101796.274633
0.4417 (2.2642)9482.837827
0.45 (2.2222)4275.557591
0.4583 (2.1818)292.122347
0.4667 (2.1429)37330.71816
0.475 (2.1053)27035.328333
0.4833 (2.069)47234.036133
0.4917 (2.0339)62741.556705
0.5 (2)2250.006205


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 1 ;
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')