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 computationSat, 17 Dec 2016 19:46:21 +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/2016/Dec/17/t14820004009b9byle17c93v4r.htm/, Retrieved Wed, 01 May 2024 23:33:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=300910, Retrieved Wed, 01 May 2024 23:33:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact58

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [Spectral Analysis] [differentieren] [2016-12-17 18:46:21] [e6dc02234f5305f92311fb16bc25f73e] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13663
11635
9606
8784.5
9415.5
10418
11344.5
11271
11895
12152.5
12731
12951
10692
8563.5
6217
5562
6294.5
7422
9254.5
10607
11268
12041
12962.5
12200.5
10400.5
8765
7000
6677
7318
7999
8762
9696
10373
10682.5
10935.5
10815.5
8669
7079.5
5640
5238.5
5777.5
6479
7290
7343
7810.5
8171.5
8532
8719
7281.5
5923.5
4837
4675.5
4585.5
5083
5766
6201
6778
7393.5
7849.5
8282.5
7610
6192.5
4693.5
4869
5149
5648.5
6230.5
7032
7727
8087.5
8443
9002
7717.5
6374.5
4995.5
4655
5198
5501
6119.5
6922
7390
7466.5
7773
7865
6567
5132.5
3656.5
3623
4045.5
4617
5374
6022.5
6464.5
7058
7484.5
7955
6801
5499
4179.5
4305.5
3304
5773.5
6419.5
6938
7760
8224
8381
8667
7304.5
5565.5
4023
3932.5
4508.5
5491
6284

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300910&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]1 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=300910&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300910&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 time1 seconds
R ServerBig Analytics Cloud Computing Center






Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)2
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0083 (120)14501.690492
0.0167 (60)2669.695227
0.025 (40)4457.142711
0.0333 (30)3633.356271
0.0417 (24)21490.325344
0.05 (20)86125.71875
0.0583 (17.1429)177880.457084
0.0667 (15)322814.469952
0.075 (13.3333)234862.037918
0.0833 (12)8788338.952975
0.0917 (10.9091)107022.871919
0.1 (10)678834.872861
0.1083 (9.2308)348977.896832
0.1167 (8.5714)183870.784997
0.125 (8)94955.188729
0.1333 (7.5)203635.822075
0.1417 (7.0588)261689.75535
0.15 (6.6667)141466.100948
0.1583 (6.3158)190363.012043
0.1667 (6)7158636.687714
0.175 (5.7143)122714.987795
0.1833 (5.4545)169990.195177
0.1917 (5.2174)124283.934806
0.2 (5)168719.664878
0.2083 (4.8)135157.109356
0.2167 (4.6154)84575.463635
0.225 (4.4444)53846.147702
0.2333 (4.2857)78190.506286
0.2417 (4.1379)464759.912575
0.25 (4)1233582.319092
0.2583 (3.871)198889.671526
0.2667 (3.75)488077.388594
0.275 (3.6364)194632.367437
0.2833 (3.5294)91593.649918
0.2917 (3.4286)297315.753567
0.3 (3.3333)611528.770416
0.3083 (3.2432)300721.896594
0.3167 (3.1579)1528001.149963
0.325 (3.0769)352505.937524
0.3333 (3)471181.315276
0.3417 (2.9268)658442.325714
0.35 (2.8571)797302.842853
0.3583 (2.7907)300382.867095
0.3667 (2.7273)1345615.34412
0.375 (2.6667)819113.052509
0.3833 (2.6087)336781.155171
0.3917 (2.5532)301638.554777
0.4 (2.5)176832.477637
0.4083 (2.449)518236.187481
0.4167 (2.4)2923669.673213
0.425 (2.3529)450945.866477
0.4333 (2.3077)549200.462314
0.4417 (2.2642)1352404.023091
0.45 (2.2222)105548.256952
0.4583 (2.1818)279565.544679
0.4667 (2.1429)819575.420005
0.475 (2.1053)974303.31702
0.4833 (2.069)628165.869355
0.4917 (2.0339)674272.403376
0.5 (2)4350180.500037

\begin{tabular}{lllllllll}
\hline
Raw Periodogram \tabularnewline
Parameter & Value \tabularnewline
Box-Cox transformation parameter (lambda) & 1 \tabularnewline
Degree of non-seasonal differencing (d) & 2 \tabularnewline
Degree of seasonal differencing (D) & 0 \tabularnewline
Seasonal Period (s) & 1 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0083 (120) & 14501.690492 \tabularnewline
0.0167 (60) & 2669.695227 \tabularnewline
0.025 (40) & 4457.142711 \tabularnewline
0.0333 (30) & 3633.356271 \tabularnewline
0.0417 (24) & 21490.325344 \tabularnewline
0.05 (20) & 86125.71875 \tabularnewline
0.0583 (17.1429) & 177880.457084 \tabularnewline
0.0667 (15) & 322814.469952 \tabularnewline
0.075 (13.3333) & 234862.037918 \tabularnewline
0.0833 (12) & 8788338.952975 \tabularnewline
0.0917 (10.9091) & 107022.871919 \tabularnewline
0.1 (10) & 678834.872861 \tabularnewline
0.1083 (9.2308) & 348977.896832 \tabularnewline
0.1167 (8.5714) & 183870.784997 \tabularnewline
0.125 (8) & 94955.188729 \tabularnewline
0.1333 (7.5) & 203635.822075 \tabularnewline
0.1417 (7.0588) & 261689.75535 \tabularnewline
0.15 (6.6667) & 141466.100948 \tabularnewline
0.1583 (6.3158) & 190363.012043 \tabularnewline
0.1667 (6) & 7158636.687714 \tabularnewline
0.175 (5.7143) & 122714.987795 \tabularnewline
0.1833 (5.4545) & 169990.195177 \tabularnewline
0.1917 (5.2174) & 124283.934806 \tabularnewline
0.2 (5) & 168719.664878 \tabularnewline
0.2083 (4.8) & 135157.109356 \tabularnewline
0.2167 (4.6154) & 84575.463635 \tabularnewline
0.225 (4.4444) & 53846.147702 \tabularnewline
0.2333 (4.2857) & 78190.506286 \tabularnewline
0.2417 (4.1379) & 464759.912575 \tabularnewline
0.25 (4) & 1233582.319092 \tabularnewline
0.2583 (3.871) & 198889.671526 \tabularnewline
0.2667 (3.75) & 488077.388594 \tabularnewline
0.275 (3.6364) & 194632.367437 \tabularnewline
0.2833 (3.5294) & 91593.649918 \tabularnewline
0.2917 (3.4286) & 297315.753567 \tabularnewline
0.3 (3.3333) & 611528.770416 \tabularnewline
0.3083 (3.2432) & 300721.896594 \tabularnewline
0.3167 (3.1579) & 1528001.149963 \tabularnewline
0.325 (3.0769) & 352505.937524 \tabularnewline
0.3333 (3) & 471181.315276 \tabularnewline
0.3417 (2.9268) & 658442.325714 \tabularnewline
0.35 (2.8571) & 797302.842853 \tabularnewline
0.3583 (2.7907) & 300382.867095 \tabularnewline
0.3667 (2.7273) & 1345615.34412 \tabularnewline
0.375 (2.6667) & 819113.052509 \tabularnewline
0.3833 (2.6087) & 336781.155171 \tabularnewline
0.3917 (2.5532) & 301638.554777 \tabularnewline
0.4 (2.5) & 176832.477637 \tabularnewline
0.4083 (2.449) & 518236.187481 \tabularnewline
0.4167 (2.4) & 2923669.673213 \tabularnewline
0.425 (2.3529) & 450945.866477 \tabularnewline
0.4333 (2.3077) & 549200.462314 \tabularnewline
0.4417 (2.2642) & 1352404.023091 \tabularnewline
0.45 (2.2222) & 105548.256952 \tabularnewline
0.4583 (2.1818) & 279565.544679 \tabularnewline
0.4667 (2.1429) & 819575.420005 \tabularnewline
0.475 (2.1053) & 974303.31702 \tabularnewline
0.4833 (2.069) & 628165.869355 \tabularnewline
0.4917 (2.0339) & 674272.403376 \tabularnewline
0.5 (2) & 4350180.500037 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=300910&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]2[/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]14501.690492[/C][/ROW]
[ROW][C]0.0167 (60)[/C][C]2669.695227[/C][/ROW]
[ROW][C]0.025 (40)[/C][C]4457.142711[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]3633.356271[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]21490.325344[/C][/ROW]
[ROW][C]0.05 (20)[/C][C]86125.71875[/C][/ROW]
[ROW][C]0.0583 (17.1429)[/C][C]177880.457084[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]322814.469952[/C][/ROW]
[ROW][C]0.075 (13.3333)[/C][C]234862.037918[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]8788338.952975[/C][/ROW]
[ROW][C]0.0917 (10.9091)[/C][C]107022.871919[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]678834.872861[/C][/ROW]
[ROW][C]0.1083 (9.2308)[/C][C]348977.896832[/C][/ROW]
[ROW][C]0.1167 (8.5714)[/C][C]183870.784997[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]94955.188729[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]203635.822075[/C][/ROW]
[ROW][C]0.1417 (7.0588)[/C][C]261689.75535[/C][/ROW]
[ROW][C]0.15 (6.6667)[/C][C]141466.100948[/C][/ROW]
[ROW][C]0.1583 (6.3158)[/C][C]190363.012043[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]7158636.687714[/C][/ROW]
[ROW][C]0.175 (5.7143)[/C][C]122714.987795[/C][/ROW]
[ROW][C]0.1833 (5.4545)[/C][C]169990.195177[/C][/ROW]
[ROW][C]0.1917 (5.2174)[/C][C]124283.934806[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]168719.664878[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]135157.109356[/C][/ROW]
[ROW][C]0.2167 (4.6154)[/C][C]84575.463635[/C][/ROW]
[ROW][C]0.225 (4.4444)[/C][C]53846.147702[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]78190.506286[/C][/ROW]
[ROW][C]0.2417 (4.1379)[/C][C]464759.912575[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]1233582.319092[/C][/ROW]
[ROW][C]0.2583 (3.871)[/C][C]198889.671526[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]488077.388594[/C][/ROW]
[ROW][C]0.275 (3.6364)[/C][C]194632.367437[/C][/ROW]
[ROW][C]0.2833 (3.5294)[/C][C]91593.649918[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]297315.753567[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]611528.770416[/C][/ROW]
[ROW][C]0.3083 (3.2432)[/C][C]300721.896594[/C][/ROW]
[ROW][C]0.3167 (3.1579)[/C][C]1528001.149963[/C][/ROW]
[ROW][C]0.325 (3.0769)[/C][C]352505.937524[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]471181.315276[/C][/ROW]
[ROW][C]0.3417 (2.9268)[/C][C]658442.325714[/C][/ROW]
[ROW][C]0.35 (2.8571)[/C][C]797302.842853[/C][/ROW]
[ROW][C]0.3583 (2.7907)[/C][C]300382.867095[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]1345615.34412[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]819113.052509[/C][/ROW]
[ROW][C]0.3833 (2.6087)[/C][C]336781.155171[/C][/ROW]
[ROW][C]0.3917 (2.5532)[/C][C]301638.554777[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]176832.477637[/C][/ROW]
[ROW][C]0.4083 (2.449)[/C][C]518236.187481[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]2923669.673213[/C][/ROW]
[ROW][C]0.425 (2.3529)[/C][C]450945.866477[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]549200.462314[/C][/ROW]
[ROW][C]0.4417 (2.2642)[/C][C]1352404.023091[/C][/ROW]
[ROW][C]0.45 (2.2222)[/C][C]105548.256952[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]279565.544679[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]819575.420005[/C][/ROW]
[ROW][C]0.475 (2.1053)[/C][C]974303.31702[/C][/ROW]
[ROW][C]0.4833 (2.069)[/C][C]628165.869355[/C][/ROW]
[ROW][C]0.4917 (2.0339)[/C][C]674272.403376[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]4350180.500037[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=300910&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=300910&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)2
Degree of seasonal differencing (D)0
Seasonal Period (s)1
Frequency (Period)Spectrum
0.0083 (120)14501.690492
0.0167 (60)2669.695227
0.025 (40)4457.142711
0.0333 (30)3633.356271
0.0417 (24)21490.325344
0.05 (20)86125.71875
0.0583 (17.1429)177880.457084
0.0667 (15)322814.469952
0.075 (13.3333)234862.037918
0.0833 (12)8788338.952975
0.0917 (10.9091)107022.871919
0.1 (10)678834.872861
0.1083 (9.2308)348977.896832
0.1167 (8.5714)183870.784997
0.125 (8)94955.188729
0.1333 (7.5)203635.822075
0.1417 (7.0588)261689.75535
0.15 (6.6667)141466.100948
0.1583 (6.3158)190363.012043
0.1667 (6)7158636.687714
0.175 (5.7143)122714.987795
0.1833 (5.4545)169990.195177
0.1917 (5.2174)124283.934806
0.2 (5)168719.664878
0.2083 (4.8)135157.109356
0.2167 (4.6154)84575.463635
0.225 (4.4444)53846.147702
0.2333 (4.2857)78190.506286
0.2417 (4.1379)464759.912575
0.25 (4)1233582.319092
0.2583 (3.871)198889.671526
0.2667 (3.75)488077.388594
0.275 (3.6364)194632.367437
0.2833 (3.5294)91593.649918
0.2917 (3.4286)297315.753567
0.3 (3.3333)611528.770416
0.3083 (3.2432)300721.896594
0.3167 (3.1579)1528001.149963
0.325 (3.0769)352505.937524
0.3333 (3)471181.315276
0.3417 (2.9268)658442.325714
0.35 (2.8571)797302.842853
0.3583 (2.7907)300382.867095
0.3667 (2.7273)1345615.34412
0.375 (2.6667)819113.052509
0.3833 (2.6087)336781.155171
0.3917 (2.5532)301638.554777
0.4 (2.5)176832.477637
0.4083 (2.449)518236.187481
0.4167 (2.4)2923669.673213
0.425 (2.3529)450945.866477
0.4333 (2.3077)549200.462314
0.4417 (2.2642)1352404.023091
0.45 (2.2222)105548.256952
0.4583 (2.1818)279565.544679
0.4667 (2.1429)819575.420005
0.475 (2.1053)974303.31702
0.4833 (2.069)628165.869355
0.4917 (2.0339)674272.403376
0.5 (2)4350180.500037


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 1 ; par2 = 2 ; 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')