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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, 04 Dec 2011 07:49:46 -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/04/t1323003048awhbxtgp8z17n1r.htm/, Retrieved Sun, 05 May 2024 09:27:37 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=150595, Retrieved Sun, 05 May 2024 09:27:37 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact158

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [WS9 VRM] [2011-12-04 11:55:08] [abc1cbe561c2c4615f632bb3153b1275]
- RMP     [Spectral Analysis] [WS9 spectrum] [2011-12-04 12:49:46] [c98b04636162cea751932dfe577607eb] [Current]
-   PD      [Spectral Analysis] [WS 9 - spectral a...] [2011-12-05 17:23:59] [fbaf17a8836493f6de0f4e0e997711e1]
-   PD      [Spectral Analysis] [WS 9 - spectral a...] [2011-12-05 17:25:59] [fbaf17a8836493f6de0f4e0e997711e1]
- RMPD      [ARIMA Backward Selection] [Arima] [2011-12-05 17:35:36] [fbaf17a8836493f6de0f4e0e997711e1]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
22782
19169
13807
29743
25591
29096
26482
22405
27044
17970
18730
19684
19785
18479
10698
31956
29506
34506
27165
26736
23691
18157
17328
18205
20995
17382
9367
31124
26551
30651
25859
25100
25778
20418
18688
20424
24776
19814
12738
31566
30111
30019
31934
25826
26835
20205
17789
20520
22518
15572
11509
25447
24090
27786
26195
20516
22759
19028
16971
20036
22485
18730
14538
27561
25985
34670
32066
27186
29586
21359
21553
19573
24256
22380
16167
27297
28287
33474
28229
28785
25597
18130
20198
22849
23118

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 0 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150595&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]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150595&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150595&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 time0 seconds
R Server'Herman Ole Andreas Wold' @ wold.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
0.0111 (90)10678188.194198
0.0222 (45)22744456.269191
0.0333 (30)33689331.819461
0.0444 (22.5)19195046.029624
0.0556 (18)791730.476476
0.0667 (15)30931494.451677
0.0778 (12.8571)365241768.973796
0.0889 (11.25)290866554.003602
0.1 (10)44020752.394069
0.1111 (9)3467372.222262
0.1222 (8.1818)4176473.655923
0.1333 (7.5)1765470.699127
0.1444 (6.9231)4946757.671463
0.1556 (6.4286)15538072.569261
0.1667 (6)129907033.081695
0.1778 (5.625)216570.327143
0.1889 (5.2941)1662935.829338
0.2 (5)4099574.21873
0.2111 (4.7368)537838.206887
0.2222 (4.5)215824.063645
0.2333 (4.2857)337481.029508
0.2444 (4.0909)103229092.361913
0.2556 (3.913)69767301.190624
0.2667 (3.75)9581659.50549
0.2778 (3.6)2194295.633506
0.2889 (3.4615)77281.408781
0.3 (3.3333)2396530.37119
0.3111 (3.2143)4247874.861206
0.3222 (3.1034)5510522.218407
0.3333 (3)47325258.730217
0.3444 (2.9032)20871228.991772
0.3556 (2.8125)1413476.326481
0.3667 (2.7273)555469.69149
0.3778 (2.6471)935113.91434
0.3889 (2.5714)2914690.716997
0.4 (2.5)8099368.814998
0.4111 (2.4324)67778711.586312
0.4222 (2.3684)85151704.234612
0.4333 (2.3077)18582905.441305
0.4444 (2.25)92521.67639
0.4556 (2.1951)2168324.63743
0.4667 (2.1429)3095676.529955
0.4778 (2.093)7739975.679848
0.4889 (2.0455)5513333.474607
0.5 (2)41530003.210525

\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
0.0111 (90) & 10678188.194198 \tabularnewline
0.0222 (45) & 22744456.269191 \tabularnewline
0.0333 (30) & 33689331.819461 \tabularnewline
0.0444 (22.5) & 19195046.029624 \tabularnewline
0.0556 (18) & 791730.476476 \tabularnewline
0.0667 (15) & 30931494.451677 \tabularnewline
0.0778 (12.8571) & 365241768.973796 \tabularnewline
0.0889 (11.25) & 290866554.003602 \tabularnewline
0.1 (10) & 44020752.394069 \tabularnewline
0.1111 (9) & 3467372.222262 \tabularnewline
0.1222 (8.1818) & 4176473.655923 \tabularnewline
0.1333 (7.5) & 1765470.699127 \tabularnewline
0.1444 (6.9231) & 4946757.671463 \tabularnewline
0.1556 (6.4286) & 15538072.569261 \tabularnewline
0.1667 (6) & 129907033.081695 \tabularnewline
0.1778 (5.625) & 216570.327143 \tabularnewline
0.1889 (5.2941) & 1662935.829338 \tabularnewline
0.2 (5) & 4099574.21873 \tabularnewline
0.2111 (4.7368) & 537838.206887 \tabularnewline
0.2222 (4.5) & 215824.063645 \tabularnewline
0.2333 (4.2857) & 337481.029508 \tabularnewline
0.2444 (4.0909) & 103229092.361913 \tabularnewline
0.2556 (3.913) & 69767301.190624 \tabularnewline
0.2667 (3.75) & 9581659.50549 \tabularnewline
0.2778 (3.6) & 2194295.633506 \tabularnewline
0.2889 (3.4615) & 77281.408781 \tabularnewline
0.3 (3.3333) & 2396530.37119 \tabularnewline
0.3111 (3.2143) & 4247874.861206 \tabularnewline
0.3222 (3.1034) & 5510522.218407 \tabularnewline
0.3333 (3) & 47325258.730217 \tabularnewline
0.3444 (2.9032) & 20871228.991772 \tabularnewline
0.3556 (2.8125) & 1413476.326481 \tabularnewline
0.3667 (2.7273) & 555469.69149 \tabularnewline
0.3778 (2.6471) & 935113.91434 \tabularnewline
0.3889 (2.5714) & 2914690.716997 \tabularnewline
0.4 (2.5) & 8099368.814998 \tabularnewline
0.4111 (2.4324) & 67778711.586312 \tabularnewline
0.4222 (2.3684) & 85151704.234612 \tabularnewline
0.4333 (2.3077) & 18582905.441305 \tabularnewline
0.4444 (2.25) & 92521.67639 \tabularnewline
0.4556 (2.1951) & 2168324.63743 \tabularnewline
0.4667 (2.1429) & 3095676.529955 \tabularnewline
0.4778 (2.093) & 7739975.679848 \tabularnewline
0.4889 (2.0455) & 5513333.474607 \tabularnewline
0.5 (2) & 41530003.210525 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=150595&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]0.0111 (90)[/C][C]10678188.194198[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]22744456.269191[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]33689331.819461[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]19195046.029624[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]791730.476476[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]30931494.451677[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]365241768.973796[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]290866554.003602[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]44020752.394069[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]3467372.222262[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]4176473.655923[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]1765470.699127[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]4946757.671463[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]15538072.569261[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]129907033.081695[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]216570.327143[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]1662935.829338[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]4099574.21873[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]537838.206887[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]215824.063645[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]337481.029508[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]103229092.361913[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]69767301.190624[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]9581659.50549[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]2194295.633506[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]77281.408781[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]2396530.37119[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]4247874.861206[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]5510522.218407[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]47325258.730217[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]20871228.991772[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]1413476.326481[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]555469.69149[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]935113.91434[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]2914690.716997[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]8099368.814998[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]67778711.586312[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]85151704.234612[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]18582905.441305[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]92521.67639[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]2168324.63743[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]3095676.529955[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]7739975.679848[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]5513333.474607[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]41530003.210525[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=150595&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=150595&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
0.0111 (90)10678188.194198
0.0222 (45)22744456.269191
0.0333 (30)33689331.819461
0.0444 (22.5)19195046.029624
0.0556 (18)791730.476476
0.0667 (15)30931494.451677
0.0778 (12.8571)365241768.973796
0.0889 (11.25)290866554.003602
0.1 (10)44020752.394069
0.1111 (9)3467372.222262
0.1222 (8.1818)4176473.655923
0.1333 (7.5)1765470.699127
0.1444 (6.9231)4946757.671463
0.1556 (6.4286)15538072.569261
0.1667 (6)129907033.081695
0.1778 (5.625)216570.327143
0.1889 (5.2941)1662935.829338
0.2 (5)4099574.21873
0.2111 (4.7368)537838.206887
0.2222 (4.5)215824.063645
0.2333 (4.2857)337481.029508
0.2444 (4.0909)103229092.361913
0.2556 (3.913)69767301.190624
0.2667 (3.75)9581659.50549
0.2778 (3.6)2194295.633506
0.2889 (3.4615)77281.408781
0.3 (3.3333)2396530.37119
0.3111 (3.2143)4247874.861206
0.3222 (3.1034)5510522.218407
0.3333 (3)47325258.730217
0.3444 (2.9032)20871228.991772
0.3556 (2.8125)1413476.326481
0.3667 (2.7273)555469.69149
0.3778 (2.6471)935113.91434
0.3889 (2.5714)2914690.716997
0.4 (2.5)8099368.814998
0.4111 (2.4324)67778711.586312
0.4222 (2.3684)85151704.234612
0.4333 (2.3077)18582905.441305
0.4444 (2.25)92521.67639
0.4556 (2.1951)2168324.63743
0.4667 (2.1429)3095676.529955
0.4778 (2.093)7739975.679848
0.4889 (2.0455)5513333.474607
0.5 (2)41530003.210525


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')