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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, 19 Dec 2008 07:18:13 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/19/t1229696388nuth7aa98s6h9vs.htm/, Retrieved Wed, 15 May 2024 08:57:19 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35149, Retrieved Wed, 15 May 2024 08:57:19 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact199

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [SMP werkloosheid] [2008-12-07 12:58:05] [bc937651ef42bf891200cf0e0edc7238]
- RM      [Variance Reduction Matrix] [VRM werkloosheid] [2008-12-07 13:12:13] [bc937651ef42bf891200cf0e0edc7238]
- RMP       [Spectral Analysis] [Cumulative period...] [2008-12-07 15:44:47] [bc937651ef42bf891200cf0e0edc7238]
-    D        [Spectral Analysis] [Spectral Analysis...] [2008-12-19 14:09:11] [bc937651ef42bf891200cf0e0edc7238]
-   P           [Spectral Analysis] [Spectral Analysis...] [2008-12-19 14:13:33] [bc937651ef42bf891200cf0e0edc7238]
-   P               [Spectral Analysis] [Spectral Analysis...] [2008-12-19 14:18:13] [21d7d81e7693ad6dde5aadefb1046611] [Current]
- RMPD                [Spectral Analysis] [Spectral Analysis] [2010-12-28 13:56:52] [74be16979710d4c4e7c6647856088456]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
13363
12530
11420
10948
10173
10602
16094
19631
17140
14345
12632
12894
11808
10673
9939
9890
9283
10131
15864
19283
16203
13919
11937
11795
11268
10522
9929
9725
9372
10068
16230
19115
18351
16265
14103
14115
13327
12618
12129
11775
11493
12470
20792
22337
21325
18581
16475
16581
15745
14453
13712
13766
13336
15346
24446
26178
24628
21282
18850
18822
18060
17536
16417
15842
15188
16905
25430
27962
26607
23364
20827
20506
19181
18016
17354
16256
15770
17538
26899
28915
25247
22856
19980
19856
16994
16839
15618
15883
15513
17106
25272
26731
22891
19583
16939
16757
15435
14786
13680
13208
12707
14277
22436
23229
18241
16145
13994
14780
13100
12329
12463
11532
10784
13106
19491
20418
16094
14491
13067

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\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 & 2 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35149&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35149&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35149&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 time2 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






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
0.0093 (108)399273.072085
0.0185 (54)60304.950901
0.0278 (36)143533.921771
0.037 (27)149454.100743
0.0463 (21.6)14789.952967
0.0556 (18)256742.772306
0.0648 (15.4286)1996.329224
0.0741 (13.5)383386.521222
0.0833 (12)153617.486613
0.0926 (10.8)1377307.180227
0.1019 (9.8182)176851.124849
0.1111 (9)1546594.584015
0.1204 (8.3077)115055.954228
0.1296 (7.7143)257771.508781
0.1389 (7.2)810000.819658
0.1481 (6.75)810069.612744
0.1574 (6.3529)120806.10429
0.1667 (6)262769.032719
0.1759 (5.6842)632654.605688
0.1852 (5.4)151712.502644
0.1944 (5.1429)79556.489789
0.2037 (4.9091)1333427.873386
0.213 (4.6957)655478.74057
0.2222 (4.5)1338990.936635
0.2315 (4.32)38717.161916
0.2407 (4.1538)132789.551812
0.25 (4)587683.184862
0.2593 (3.8571)164957.234145
0.2685 (3.7241)83297.653218
0.2778 (3.6)516275.032822
0.287 (3.4839)1145867.409731
0.2963 (3.375)719970.322031
0.3056 (3.2727)585983.336642
0.3148 (3.1765)31932.056114
0.3241 (3.0857)482151.839936
0.3333 (3)140203.635605
0.3426 (2.9189)197302.011376
0.3519 (2.8421)723130.737134
0.3611 (2.7692)104098.103291
0.3704 (2.7)584140.105063
0.3796 (2.6341)202591.323079
0.3889 (2.5714)159776.188124
0.3981 (2.5116)257547.770833
0.4074 (2.4545)712825.244281
0.4167 (2.4)167964.128642
0.4259 (2.3478)528599.823853
0.4352 (2.2979)1186448.513268
0.4444 (2.25)1205586.431788
0.4537 (2.2041)1558374.601363
0.463 (2.16)1353052.491305
0.4722 (2.1176)737042.274513
0.4815 (2.0769)473475.930075
0.4907 (2.0377)1003080.349935
0.5 (2)523.410391

\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
0.0093 (108) & 399273.072085 \tabularnewline
0.0185 (54) & 60304.950901 \tabularnewline
0.0278 (36) & 143533.921771 \tabularnewline
0.037 (27) & 149454.100743 \tabularnewline
0.0463 (21.6) & 14789.952967 \tabularnewline
0.0556 (18) & 256742.772306 \tabularnewline
0.0648 (15.4286) & 1996.329224 \tabularnewline
0.0741 (13.5) & 383386.521222 \tabularnewline
0.0833 (12) & 153617.486613 \tabularnewline
0.0926 (10.8) & 1377307.180227 \tabularnewline
0.1019 (9.8182) & 176851.124849 \tabularnewline
0.1111 (9) & 1546594.584015 \tabularnewline
0.1204 (8.3077) & 115055.954228 \tabularnewline
0.1296 (7.7143) & 257771.508781 \tabularnewline
0.1389 (7.2) & 810000.819658 \tabularnewline
0.1481 (6.75) & 810069.612744 \tabularnewline
0.1574 (6.3529) & 120806.10429 \tabularnewline
0.1667 (6) & 262769.032719 \tabularnewline
0.1759 (5.6842) & 632654.605688 \tabularnewline
0.1852 (5.4) & 151712.502644 \tabularnewline
0.1944 (5.1429) & 79556.489789 \tabularnewline
0.2037 (4.9091) & 1333427.873386 \tabularnewline
0.213 (4.6957) & 655478.74057 \tabularnewline
0.2222 (4.5) & 1338990.936635 \tabularnewline
0.2315 (4.32) & 38717.161916 \tabularnewline
0.2407 (4.1538) & 132789.551812 \tabularnewline
0.25 (4) & 587683.184862 \tabularnewline
0.2593 (3.8571) & 164957.234145 \tabularnewline
0.2685 (3.7241) & 83297.653218 \tabularnewline
0.2778 (3.6) & 516275.032822 \tabularnewline
0.287 (3.4839) & 1145867.409731 \tabularnewline
0.2963 (3.375) & 719970.322031 \tabularnewline
0.3056 (3.2727) & 585983.336642 \tabularnewline
0.3148 (3.1765) & 31932.056114 \tabularnewline
0.3241 (3.0857) & 482151.839936 \tabularnewline
0.3333 (3) & 140203.635605 \tabularnewline
0.3426 (2.9189) & 197302.011376 \tabularnewline
0.3519 (2.8421) & 723130.737134 \tabularnewline
0.3611 (2.7692) & 104098.103291 \tabularnewline
0.3704 (2.7) & 584140.105063 \tabularnewline
0.3796 (2.6341) & 202591.323079 \tabularnewline
0.3889 (2.5714) & 159776.188124 \tabularnewline
0.3981 (2.5116) & 257547.770833 \tabularnewline
0.4074 (2.4545) & 712825.244281 \tabularnewline
0.4167 (2.4) & 167964.128642 \tabularnewline
0.4259 (2.3478) & 528599.823853 \tabularnewline
0.4352 (2.2979) & 1186448.513268 \tabularnewline
0.4444 (2.25) & 1205586.431788 \tabularnewline
0.4537 (2.2041) & 1558374.601363 \tabularnewline
0.463 (2.16) & 1353052.491305 \tabularnewline
0.4722 (2.1176) & 737042.274513 \tabularnewline
0.4815 (2.0769) & 473475.930075 \tabularnewline
0.4907 (2.0377) & 1003080.349935 \tabularnewline
0.5 (2) & 523.410391 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35149&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]0.0093 (108)[/C][C]399273.072085[/C][/ROW]
[ROW][C]0.0185 (54)[/C][C]60304.950901[/C][/ROW]
[ROW][C]0.0278 (36)[/C][C]143533.921771[/C][/ROW]
[ROW][C]0.037 (27)[/C][C]149454.100743[/C][/ROW]
[ROW][C]0.0463 (21.6)[/C][C]14789.952967[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]256742.772306[/C][/ROW]
[ROW][C]0.0648 (15.4286)[/C][C]1996.329224[/C][/ROW]
[ROW][C]0.0741 (13.5)[/C][C]383386.521222[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]153617.486613[/C][/ROW]
[ROW][C]0.0926 (10.8)[/C][C]1377307.180227[/C][/ROW]
[ROW][C]0.1019 (9.8182)[/C][C]176851.124849[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]1546594.584015[/C][/ROW]
[ROW][C]0.1204 (8.3077)[/C][C]115055.954228[/C][/ROW]
[ROW][C]0.1296 (7.7143)[/C][C]257771.508781[/C][/ROW]
[ROW][C]0.1389 (7.2)[/C][C]810000.819658[/C][/ROW]
[ROW][C]0.1481 (6.75)[/C][C]810069.612744[/C][/ROW]
[ROW][C]0.1574 (6.3529)[/C][C]120806.10429[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]262769.032719[/C][/ROW]
[ROW][C]0.1759 (5.6842)[/C][C]632654.605688[/C][/ROW]
[ROW][C]0.1852 (5.4)[/C][C]151712.502644[/C][/ROW]
[ROW][C]0.1944 (5.1429)[/C][C]79556.489789[/C][/ROW]
[ROW][C]0.2037 (4.9091)[/C][C]1333427.873386[/C][/ROW]
[ROW][C]0.213 (4.6957)[/C][C]655478.74057[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]1338990.936635[/C][/ROW]
[ROW][C]0.2315 (4.32)[/C][C]38717.161916[/C][/ROW]
[ROW][C]0.2407 (4.1538)[/C][C]132789.551812[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]587683.184862[/C][/ROW]
[ROW][C]0.2593 (3.8571)[/C][C]164957.234145[/C][/ROW]
[ROW][C]0.2685 (3.7241)[/C][C]83297.653218[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]516275.032822[/C][/ROW]
[ROW][C]0.287 (3.4839)[/C][C]1145867.409731[/C][/ROW]
[ROW][C]0.2963 (3.375)[/C][C]719970.322031[/C][/ROW]
[ROW][C]0.3056 (3.2727)[/C][C]585983.336642[/C][/ROW]
[ROW][C]0.3148 (3.1765)[/C][C]31932.056114[/C][/ROW]
[ROW][C]0.3241 (3.0857)[/C][C]482151.839936[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]140203.635605[/C][/ROW]
[ROW][C]0.3426 (2.9189)[/C][C]197302.011376[/C][/ROW]
[ROW][C]0.3519 (2.8421)[/C][C]723130.737134[/C][/ROW]
[ROW][C]0.3611 (2.7692)[/C][C]104098.103291[/C][/ROW]
[ROW][C]0.3704 (2.7)[/C][C]584140.105063[/C][/ROW]
[ROW][C]0.3796 (2.6341)[/C][C]202591.323079[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]159776.188124[/C][/ROW]
[ROW][C]0.3981 (2.5116)[/C][C]257547.770833[/C][/ROW]
[ROW][C]0.4074 (2.4545)[/C][C]712825.244281[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]167964.128642[/C][/ROW]
[ROW][C]0.4259 (2.3478)[/C][C]528599.823853[/C][/ROW]
[ROW][C]0.4352 (2.2979)[/C][C]1186448.513268[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]1205586.431788[/C][/ROW]
[ROW][C]0.4537 (2.2041)[/C][C]1558374.601363[/C][/ROW]
[ROW][C]0.463 (2.16)[/C][C]1353052.491305[/C][/ROW]
[ROW][C]0.4722 (2.1176)[/C][C]737042.274513[/C][/ROW]
[ROW][C]0.4815 (2.0769)[/C][C]473475.930075[/C][/ROW]
[ROW][C]0.4907 (2.0377)[/C][C]1003080.349935[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]523.410391[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35149&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35149&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
0.0093 (108)399273.072085
0.0185 (54)60304.950901
0.0278 (36)143533.921771
0.037 (27)149454.100743
0.0463 (21.6)14789.952967
0.0556 (18)256742.772306
0.0648 (15.4286)1996.329224
0.0741 (13.5)383386.521222
0.0833 (12)153617.486613
0.0926 (10.8)1377307.180227
0.1019 (9.8182)176851.124849
0.1111 (9)1546594.584015
0.1204 (8.3077)115055.954228
0.1296 (7.7143)257771.508781
0.1389 (7.2)810000.819658
0.1481 (6.75)810069.612744
0.1574 (6.3529)120806.10429
0.1667 (6)262769.032719
0.1759 (5.6842)632654.605688
0.1852 (5.4)151712.502644
0.1944 (5.1429)79556.489789
0.2037 (4.9091)1333427.873386
0.213 (4.6957)655478.74057
0.2222 (4.5)1338990.936635
0.2315 (4.32)38717.161916
0.2407 (4.1538)132789.551812
0.25 (4)587683.184862
0.2593 (3.8571)164957.234145
0.2685 (3.7241)83297.653218
0.2778 (3.6)516275.032822
0.287 (3.4839)1145867.409731
0.2963 (3.375)719970.322031
0.3056 (3.2727)585983.336642
0.3148 (3.1765)31932.056114
0.3241 (3.0857)482151.839936
0.3333 (3)140203.635605
0.3426 (2.9189)197302.011376
0.3519 (2.8421)723130.737134
0.3611 (2.7692)104098.103291
0.3704 (2.7)584140.105063
0.3796 (2.6341)202591.323079
0.3889 (2.5714)159776.188124
0.3981 (2.5116)257547.770833
0.4074 (2.4545)712825.244281
0.4167 (2.4)167964.128642
0.4259 (2.3478)528599.823853
0.4352 (2.2979)1186448.513268
0.4444 (2.25)1205586.431788
0.4537 (2.2041)1558374.601363
0.463 (2.16)1353052.491305
0.4722 (2.1176)737042.274513
0.4815 (2.0769)473475.930075
0.4907 (2.0377)1003080.349935
0.5 (2)523.410391


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')