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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 computationSun, 18 Dec 2011 14:22:47 -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/18/t1324236196ec1cx11uxzre05s.htm/, Retrieved Sun, 05 May 2024 17:06:33 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157140, Retrieved Sun, 05 May 2024 17:06:33 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact71

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   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
- R  D    [Spectral Analysis] [WS IX-aantal over...] [2011-12-06 19:38:37] [74be16979710d4c4e7c6647856088456]
-    D        [Spectral Analysis] [Paper cp] [2011-12-18 19:22:47] [3e388c05c22237d436c48535c44f60bb] [Current]
-   P           [Spectral Analysis] [Paper cp-aanpassing] [2011-12-18 19:24:22] [7c680a04865e75aa8ab422cdbfd97ac3]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
18992
0
21552
1868501
7185612
10348382
6942386
4306121
2833176
1515513
1242981
699343
89497
128
10585
1070323
7167741
13193530
7885720
6785683
3106846
1706331
1286534
499079
24637
16
27309
873433
8435418
11290088
6840395
3803252
4388988
2680940
1174135
328388
22943
5657
28156
770831
8378147
13274946
7297840
2848227
2892179
1762224
1009375
188388
3393
0
13807
2619905
13297704
6240087
5108460
4553381
3148546
2433387
1748108
723454
58525
792
42585
1634386
10360570
6798599
4847748
4971202
343863
2200366
1549422
90144
63288
338
44863
1678135
9293357
9361258
6766402
4331272
3518962
2425786
1701795
552452
16104
0
90198
1731332
7954135
11561342
6834733
4255652
4243070
3415216
1841237
655456

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'AstonUniversity' @ aston.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 & 2 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157140&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]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157140&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157140&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'AstonUniversity' @ aston.wessa.net






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)12
Frequency (Period)Spectrum
0.0104 (96)2475704785685.8
0.0208 (48)1333768274322.37
0.0312 (32)715688367029.848
0.0417 (24)1315481337291.42
0.0521 (19.2)7710705421490.38
0.0625 (16)4650848495954.74
0.0729 (13.7143)1486571304339.78
0.0833 (12)395408423007752
0.0938 (10.6667)7735105792231.06
0.1042 (9.6)2972592534394.71
0.1146 (8.7273)3054895685572.72
0.125 (8)3118975655851.63
0.1354 (7.3846)32372318759.1392
0.1458 (6.8571)210935606471.166
0.1562 (6.4)1457478203311.43
0.1667 (6)103704836929822
0.1771 (5.6471)7337800473093.76
0.1875 (5.3333)1224038277769.75
0.1979 (5.0526)1831646994544.62
0.2083 (4.8)1763347101233.11
0.2188 (4.5714)806899466144.654
0.2292 (4.3636)1328934710468.44
0.2396 (4.1739)255737226898.574
0.25 (4)34748806786187.7
0.2604 (3.84)5633723448372.76
0.2708 (3.6923)2711677898060.12
0.2812 (3.5556)1472313376815.04
0.2917 (3.4286)601905719167.444
0.3021 (3.3103)315566445664.418
0.3125 (3.2)2829183305230.82
0.3229 (3.0968)2530793219591.72
0.3333 (3)12102830462213.4
0.3438 (2.9091)6115575088880.21
0.3542 (2.8235)1290025153303.38
0.3646 (2.7429)843647029168.772
0.375 (2.6667)771976955739.094
0.3854 (2.5946)373606577824.619
0.3958 (2.5263)1940973893783.62
0.4062 (2.4615)3119555704726.41
0.4167 (2.4)3321701243074.76
0.4271 (2.3415)2487351634230.61
0.4375 (2.2857)122923124720.575
0.4479 (2.2326)158248124087.866
0.4583 (2.1818)2023851811798.76
0.4688 (2.1333)215238435996.555
0.4792 (2.087)277430592871.086
0.4896 (2.0426)1889496619044.44
0.5 (2)1078877555525.67

\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) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0104 (96) & 2475704785685.8 \tabularnewline
0.0208 (48) & 1333768274322.37 \tabularnewline
0.0312 (32) & 715688367029.848 \tabularnewline
0.0417 (24) & 1315481337291.42 \tabularnewline
0.0521 (19.2) & 7710705421490.38 \tabularnewline
0.0625 (16) & 4650848495954.74 \tabularnewline
0.0729 (13.7143) & 1486571304339.78 \tabularnewline
0.0833 (12) & 395408423007752 \tabularnewline
0.0938 (10.6667) & 7735105792231.06 \tabularnewline
0.1042 (9.6) & 2972592534394.71 \tabularnewline
0.1146 (8.7273) & 3054895685572.72 \tabularnewline
0.125 (8) & 3118975655851.63 \tabularnewline
0.1354 (7.3846) & 32372318759.1392 \tabularnewline
0.1458 (6.8571) & 210935606471.166 \tabularnewline
0.1562 (6.4) & 1457478203311.43 \tabularnewline
0.1667 (6) & 103704836929822 \tabularnewline
0.1771 (5.6471) & 7337800473093.76 \tabularnewline
0.1875 (5.3333) & 1224038277769.75 \tabularnewline
0.1979 (5.0526) & 1831646994544.62 \tabularnewline
0.2083 (4.8) & 1763347101233.11 \tabularnewline
0.2188 (4.5714) & 806899466144.654 \tabularnewline
0.2292 (4.3636) & 1328934710468.44 \tabularnewline
0.2396 (4.1739) & 255737226898.574 \tabularnewline
0.25 (4) & 34748806786187.7 \tabularnewline
0.2604 (3.84) & 5633723448372.76 \tabularnewline
0.2708 (3.6923) & 2711677898060.12 \tabularnewline
0.2812 (3.5556) & 1472313376815.04 \tabularnewline
0.2917 (3.4286) & 601905719167.444 \tabularnewline
0.3021 (3.3103) & 315566445664.418 \tabularnewline
0.3125 (3.2) & 2829183305230.82 \tabularnewline
0.3229 (3.0968) & 2530793219591.72 \tabularnewline
0.3333 (3) & 12102830462213.4 \tabularnewline
0.3438 (2.9091) & 6115575088880.21 \tabularnewline
0.3542 (2.8235) & 1290025153303.38 \tabularnewline
0.3646 (2.7429) & 843647029168.772 \tabularnewline
0.375 (2.6667) & 771976955739.094 \tabularnewline
0.3854 (2.5946) & 373606577824.619 \tabularnewline
0.3958 (2.5263) & 1940973893783.62 \tabularnewline
0.4062 (2.4615) & 3119555704726.41 \tabularnewline
0.4167 (2.4) & 3321701243074.76 \tabularnewline
0.4271 (2.3415) & 2487351634230.61 \tabularnewline
0.4375 (2.2857) & 122923124720.575 \tabularnewline
0.4479 (2.2326) & 158248124087.866 \tabularnewline
0.4583 (2.1818) & 2023851811798.76 \tabularnewline
0.4688 (2.1333) & 215238435996.555 \tabularnewline
0.4792 (2.087) & 277430592871.086 \tabularnewline
0.4896 (2.0426) & 1889496619044.44 \tabularnewline
0.5 (2) & 1078877555525.67 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157140&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]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0104 (96)[/C][C]2475704785685.8[/C][/ROW]
[ROW][C]0.0208 (48)[/C][C]1333768274322.37[/C][/ROW]
[ROW][C]0.0312 (32)[/C][C]715688367029.848[/C][/ROW]
[ROW][C]0.0417 (24)[/C][C]1315481337291.42[/C][/ROW]
[ROW][C]0.0521 (19.2)[/C][C]7710705421490.38[/C][/ROW]
[ROW][C]0.0625 (16)[/C][C]4650848495954.74[/C][/ROW]
[ROW][C]0.0729 (13.7143)[/C][C]1486571304339.78[/C][/ROW]
[ROW][C]0.0833 (12)[/C][C]395408423007752[/C][/ROW]
[ROW][C]0.0938 (10.6667)[/C][C]7735105792231.06[/C][/ROW]
[ROW][C]0.1042 (9.6)[/C][C]2972592534394.71[/C][/ROW]
[ROW][C]0.1146 (8.7273)[/C][C]3054895685572.72[/C][/ROW]
[ROW][C]0.125 (8)[/C][C]3118975655851.63[/C][/ROW]
[ROW][C]0.1354 (7.3846)[/C][C]32372318759.1392[/C][/ROW]
[ROW][C]0.1458 (6.8571)[/C][C]210935606471.166[/C][/ROW]
[ROW][C]0.1562 (6.4)[/C][C]1457478203311.43[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]103704836929822[/C][/ROW]
[ROW][C]0.1771 (5.6471)[/C][C]7337800473093.76[/C][/ROW]
[ROW][C]0.1875 (5.3333)[/C][C]1224038277769.75[/C][/ROW]
[ROW][C]0.1979 (5.0526)[/C][C]1831646994544.62[/C][/ROW]
[ROW][C]0.2083 (4.8)[/C][C]1763347101233.11[/C][/ROW]
[ROW][C]0.2188 (4.5714)[/C][C]806899466144.654[/C][/ROW]
[ROW][C]0.2292 (4.3636)[/C][C]1328934710468.44[/C][/ROW]
[ROW][C]0.2396 (4.1739)[/C][C]255737226898.574[/C][/ROW]
[ROW][C]0.25 (4)[/C][C]34748806786187.7[/C][/ROW]
[ROW][C]0.2604 (3.84)[/C][C]5633723448372.76[/C][/ROW]
[ROW][C]0.2708 (3.6923)[/C][C]2711677898060.12[/C][/ROW]
[ROW][C]0.2812 (3.5556)[/C][C]1472313376815.04[/C][/ROW]
[ROW][C]0.2917 (3.4286)[/C][C]601905719167.444[/C][/ROW]
[ROW][C]0.3021 (3.3103)[/C][C]315566445664.418[/C][/ROW]
[ROW][C]0.3125 (3.2)[/C][C]2829183305230.82[/C][/ROW]
[ROW][C]0.3229 (3.0968)[/C][C]2530793219591.72[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]12102830462213.4[/C][/ROW]
[ROW][C]0.3438 (2.9091)[/C][C]6115575088880.21[/C][/ROW]
[ROW][C]0.3542 (2.8235)[/C][C]1290025153303.38[/C][/ROW]
[ROW][C]0.3646 (2.7429)[/C][C]843647029168.772[/C][/ROW]
[ROW][C]0.375 (2.6667)[/C][C]771976955739.094[/C][/ROW]
[ROW][C]0.3854 (2.5946)[/C][C]373606577824.619[/C][/ROW]
[ROW][C]0.3958 (2.5263)[/C][C]1940973893783.62[/C][/ROW]
[ROW][C]0.4062 (2.4615)[/C][C]3119555704726.41[/C][/ROW]
[ROW][C]0.4167 (2.4)[/C][C]3321701243074.76[/C][/ROW]
[ROW][C]0.4271 (2.3415)[/C][C]2487351634230.61[/C][/ROW]
[ROW][C]0.4375 (2.2857)[/C][C]122923124720.575[/C][/ROW]
[ROW][C]0.4479 (2.2326)[/C][C]158248124087.866[/C][/ROW]
[ROW][C]0.4583 (2.1818)[/C][C]2023851811798.76[/C][/ROW]
[ROW][C]0.4688 (2.1333)[/C][C]215238435996.555[/C][/ROW]
[ROW][C]0.4792 (2.087)[/C][C]277430592871.086[/C][/ROW]
[ROW][C]0.4896 (2.0426)[/C][C]1889496619044.44[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]1078877555525.67[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157140&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157140&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)12
Frequency (Period)Spectrum
0.0104 (96)2475704785685.8
0.0208 (48)1333768274322.37
0.0312 (32)715688367029.848
0.0417 (24)1315481337291.42
0.0521 (19.2)7710705421490.38
0.0625 (16)4650848495954.74
0.0729 (13.7143)1486571304339.78
0.0833 (12)395408423007752
0.0938 (10.6667)7735105792231.06
0.1042 (9.6)2972592534394.71
0.1146 (8.7273)3054895685572.72
0.125 (8)3118975655851.63
0.1354 (7.3846)32372318759.1392
0.1458 (6.8571)210935606471.166
0.1562 (6.4)1457478203311.43
0.1667 (6)103704836929822
0.1771 (5.6471)7337800473093.76
0.1875 (5.3333)1224038277769.75
0.1979 (5.0526)1831646994544.62
0.2083 (4.8)1763347101233.11
0.2188 (4.5714)806899466144.654
0.2292 (4.3636)1328934710468.44
0.2396 (4.1739)255737226898.574
0.25 (4)34748806786187.7
0.2604 (3.84)5633723448372.76
0.2708 (3.6923)2711677898060.12
0.2812 (3.5556)1472313376815.04
0.2917 (3.4286)601905719167.444
0.3021 (3.3103)315566445664.418
0.3125 (3.2)2829183305230.82
0.3229 (3.0968)2530793219591.72
0.3333 (3)12102830462213.4
0.3438 (2.9091)6115575088880.21
0.3542 (2.8235)1290025153303.38
0.3646 (2.7429)843647029168.772
0.375 (2.6667)771976955739.094
0.3854 (2.5946)373606577824.619
0.3958 (2.5263)1940973893783.62
0.4062 (2.4615)3119555704726.41
0.4167 (2.4)3321701243074.76
0.4271 (2.3415)2487351634230.61
0.4375 (2.2857)122923124720.575
0.4479 (2.2326)158248124087.866
0.4583 (2.1818)2023851811798.76
0.4688 (2.1333)215238435996.555
0.4792 (2.087)277430592871.086
0.4896 (2.0426)1889496619044.44
0.5 (2)1078877555525.67


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 0 ; par4 = 12 ;
Parameters (R input):
par1 = 1 ; par2 = 0 ; par3 = 0 ; 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')