Free Statistics

of Irreproducible Research!

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_spectrum.wasp
Title produced by softwareSpectral Analysis
Date of computationTue, 17 Dec 2013 15:20:06 -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/2013/Dec/17/t1387311650jlunxz0g585z6vj.htm/, Retrieved Thu, 31 Oct 2024 23:21:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232419, Retrieved Thu, 31 Oct 2024 23:21:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact231
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Spectral Analysis] [CP 1] [2013-12-03 18:11:39] [0ba55e3ce082ee2313a5fbafd157b436]
- R PD    [Spectral Analysis] [Cummulative Perdi...] [2013-12-17 20:20:06] [2e4b2f9d3944a9ae720fcdd8099335ae] [Current]
Feedback Forum

Post a new message
Dataseries X:
136524
132111
125326
122716
116615
113719
110737
112093
143565
149946
149147
134339
122683
115614
116566
111272
104609
101802
94542
93051
124129
130374
123946
114971
105531
104919
104782
101281
94545
93248
84031
87486
115867
120327
117008
108811
104519
106758
109337
109078
108293
106534
99197
103493
130676
137448
134704
123725
118277
121225
120528
118240
112514
107304
100001
102082
130455
135574
132540
119920
112454
109415
109843
106365
102304
97968
92462
92286
120092
126656
124144
114045
108120
105698
111203
110030
104009
99772
96301
97680
121563
134210
133111
124527
117589
115699
117830
115874
111267
107985
102185
102101
128932
135782
136971
126292
119260




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 3 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232419&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232419&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232419&T=0

As an alternative you can also use a 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 time3 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net







Raw Periodogram
ParameterValue
Box-Cox transformation parameter (lambda)1
Degree of non-seasonal differencing (d)0
Degree of seasonal differencing (D)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0111 (90)558046572.396384
0.0222 (45)2617241019.59435
0.0333 (30)489048784.901378
0.0444 (22.5)1200202.365945
0.0556 (18)78466536.708669
0.0667 (15)84479410.437648
0.0778 (12.8571)17298628.14066
0.0889 (11.25)32208024.376638
0.1 (10)19580988.497835
0.1111 (9)8539217.810686
0.1222 (8.1818)32045051.223226
0.1333 (7.5)410264.020412
0.1444 (6.9231)868230.067181
0.1556 (6.4286)7416073.845936
0.1667 (6)740167.638907
0.1778 (5.625)1545766.678318
0.1889 (5.2941)2151435.843908
0.2 (5)4949780.311551
0.2111 (4.7368)5116184.596361
0.2222 (4.5)464308.234989
0.2333 (4.2857)1712748.913999
0.2444 (4.0909)1471520.255116
0.2556 (3.913)1928333.119427
0.2667 (3.75)2175310.088745
0.2778 (3.6)7648828.751986
0.2889 (3.4615)341998.89078
0.3 (3.3333)1680586.103183
0.3111 (3.2143)7243505.281694
0.3222 (3.1034)65052.975821
0.3333 (3)142700.015138
0.3444 (2.9032)4459018.767936
0.3556 (2.8125)3673552.353295
0.3667 (2.7273)1859234.299231
0.3778 (2.6471)686774.253751
0.3889 (2.5714)846813.673783
0.4 (2.5)1208866.072663
0.4111 (2.4324)245310.646738
0.4222 (2.3684)170594.217058
0.4333 (2.3077)663723.72369
0.4444 (2.25)2612631.20059
0.4556 (2.1951)1434208.133622
0.4667 (2.1429)7323605.647826
0.4778 (2.093)3397123.456602
0.4889 (2.0455)2558224.157006
0.5 (2)634073.710843

\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) & 1 \tabularnewline
Seasonal Period (s) & 12 \tabularnewline
Frequency (Period) & Spectrum \tabularnewline
0.0111 (90) & 558046572.396384 \tabularnewline
0.0222 (45) & 2617241019.59435 \tabularnewline
0.0333 (30) & 489048784.901378 \tabularnewline
0.0444 (22.5) & 1200202.365945 \tabularnewline
0.0556 (18) & 78466536.708669 \tabularnewline
0.0667 (15) & 84479410.437648 \tabularnewline
0.0778 (12.8571) & 17298628.14066 \tabularnewline
0.0889 (11.25) & 32208024.376638 \tabularnewline
0.1 (10) & 19580988.497835 \tabularnewline
0.1111 (9) & 8539217.810686 \tabularnewline
0.1222 (8.1818) & 32045051.223226 \tabularnewline
0.1333 (7.5) & 410264.020412 \tabularnewline
0.1444 (6.9231) & 868230.067181 \tabularnewline
0.1556 (6.4286) & 7416073.845936 \tabularnewline
0.1667 (6) & 740167.638907 \tabularnewline
0.1778 (5.625) & 1545766.678318 \tabularnewline
0.1889 (5.2941) & 2151435.843908 \tabularnewline
0.2 (5) & 4949780.311551 \tabularnewline
0.2111 (4.7368) & 5116184.596361 \tabularnewline
0.2222 (4.5) & 464308.234989 \tabularnewline
0.2333 (4.2857) & 1712748.913999 \tabularnewline
0.2444 (4.0909) & 1471520.255116 \tabularnewline
0.2556 (3.913) & 1928333.119427 \tabularnewline
0.2667 (3.75) & 2175310.088745 \tabularnewline
0.2778 (3.6) & 7648828.751986 \tabularnewline
0.2889 (3.4615) & 341998.89078 \tabularnewline
0.3 (3.3333) & 1680586.103183 \tabularnewline
0.3111 (3.2143) & 7243505.281694 \tabularnewline
0.3222 (3.1034) & 65052.975821 \tabularnewline
0.3333 (3) & 142700.015138 \tabularnewline
0.3444 (2.9032) & 4459018.767936 \tabularnewline
0.3556 (2.8125) & 3673552.353295 \tabularnewline
0.3667 (2.7273) & 1859234.299231 \tabularnewline
0.3778 (2.6471) & 686774.253751 \tabularnewline
0.3889 (2.5714) & 846813.673783 \tabularnewline
0.4 (2.5) & 1208866.072663 \tabularnewline
0.4111 (2.4324) & 245310.646738 \tabularnewline
0.4222 (2.3684) & 170594.217058 \tabularnewline
0.4333 (2.3077) & 663723.72369 \tabularnewline
0.4444 (2.25) & 2612631.20059 \tabularnewline
0.4556 (2.1951) & 1434208.133622 \tabularnewline
0.4667 (2.1429) & 7323605.647826 \tabularnewline
0.4778 (2.093) & 3397123.456602 \tabularnewline
0.4889 (2.0455) & 2558224.157006 \tabularnewline
0.5 (2) & 634073.710843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232419&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]1[/C][/ROW]
[ROW][C]Seasonal Period (s)[/C][C]12[/C][/ROW]
[ROW][C]Frequency (Period)[/C][C]Spectrum[/C][/ROW]
[ROW][C]0.0111 (90)[/C][C]558046572.396384[/C][/ROW]
[ROW][C]0.0222 (45)[/C][C]2617241019.59435[/C][/ROW]
[ROW][C]0.0333 (30)[/C][C]489048784.901378[/C][/ROW]
[ROW][C]0.0444 (22.5)[/C][C]1200202.365945[/C][/ROW]
[ROW][C]0.0556 (18)[/C][C]78466536.708669[/C][/ROW]
[ROW][C]0.0667 (15)[/C][C]84479410.437648[/C][/ROW]
[ROW][C]0.0778 (12.8571)[/C][C]17298628.14066[/C][/ROW]
[ROW][C]0.0889 (11.25)[/C][C]32208024.376638[/C][/ROW]
[ROW][C]0.1 (10)[/C][C]19580988.497835[/C][/ROW]
[ROW][C]0.1111 (9)[/C][C]8539217.810686[/C][/ROW]
[ROW][C]0.1222 (8.1818)[/C][C]32045051.223226[/C][/ROW]
[ROW][C]0.1333 (7.5)[/C][C]410264.020412[/C][/ROW]
[ROW][C]0.1444 (6.9231)[/C][C]868230.067181[/C][/ROW]
[ROW][C]0.1556 (6.4286)[/C][C]7416073.845936[/C][/ROW]
[ROW][C]0.1667 (6)[/C][C]740167.638907[/C][/ROW]
[ROW][C]0.1778 (5.625)[/C][C]1545766.678318[/C][/ROW]
[ROW][C]0.1889 (5.2941)[/C][C]2151435.843908[/C][/ROW]
[ROW][C]0.2 (5)[/C][C]4949780.311551[/C][/ROW]
[ROW][C]0.2111 (4.7368)[/C][C]5116184.596361[/C][/ROW]
[ROW][C]0.2222 (4.5)[/C][C]464308.234989[/C][/ROW]
[ROW][C]0.2333 (4.2857)[/C][C]1712748.913999[/C][/ROW]
[ROW][C]0.2444 (4.0909)[/C][C]1471520.255116[/C][/ROW]
[ROW][C]0.2556 (3.913)[/C][C]1928333.119427[/C][/ROW]
[ROW][C]0.2667 (3.75)[/C][C]2175310.088745[/C][/ROW]
[ROW][C]0.2778 (3.6)[/C][C]7648828.751986[/C][/ROW]
[ROW][C]0.2889 (3.4615)[/C][C]341998.89078[/C][/ROW]
[ROW][C]0.3 (3.3333)[/C][C]1680586.103183[/C][/ROW]
[ROW][C]0.3111 (3.2143)[/C][C]7243505.281694[/C][/ROW]
[ROW][C]0.3222 (3.1034)[/C][C]65052.975821[/C][/ROW]
[ROW][C]0.3333 (3)[/C][C]142700.015138[/C][/ROW]
[ROW][C]0.3444 (2.9032)[/C][C]4459018.767936[/C][/ROW]
[ROW][C]0.3556 (2.8125)[/C][C]3673552.353295[/C][/ROW]
[ROW][C]0.3667 (2.7273)[/C][C]1859234.299231[/C][/ROW]
[ROW][C]0.3778 (2.6471)[/C][C]686774.253751[/C][/ROW]
[ROW][C]0.3889 (2.5714)[/C][C]846813.673783[/C][/ROW]
[ROW][C]0.4 (2.5)[/C][C]1208866.072663[/C][/ROW]
[ROW][C]0.4111 (2.4324)[/C][C]245310.646738[/C][/ROW]
[ROW][C]0.4222 (2.3684)[/C][C]170594.217058[/C][/ROW]
[ROW][C]0.4333 (2.3077)[/C][C]663723.72369[/C][/ROW]
[ROW][C]0.4444 (2.25)[/C][C]2612631.20059[/C][/ROW]
[ROW][C]0.4556 (2.1951)[/C][C]1434208.133622[/C][/ROW]
[ROW][C]0.4667 (2.1429)[/C][C]7323605.647826[/C][/ROW]
[ROW][C]0.4778 (2.093)[/C][C]3397123.456602[/C][/ROW]
[ROW][C]0.4889 (2.0455)[/C][C]2558224.157006[/C][/ROW]
[ROW][C]0.5 (2)[/C][C]634073.710843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232419&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232419&T=1

As an alternative you can also use a 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)1
Seasonal Period (s)12
Frequency (Period)Spectrum
0.0111 (90)558046572.396384
0.0222 (45)2617241019.59435
0.0333 (30)489048784.901378
0.0444 (22.5)1200202.365945
0.0556 (18)78466536.708669
0.0667 (15)84479410.437648
0.0778 (12.8571)17298628.14066
0.0889 (11.25)32208024.376638
0.1 (10)19580988.497835
0.1111 (9)8539217.810686
0.1222 (8.1818)32045051.223226
0.1333 (7.5)410264.020412
0.1444 (6.9231)868230.067181
0.1556 (6.4286)7416073.845936
0.1667 (6)740167.638907
0.1778 (5.625)1545766.678318
0.1889 (5.2941)2151435.843908
0.2 (5)4949780.311551
0.2111 (4.7368)5116184.596361
0.2222 (4.5)464308.234989
0.2333 (4.2857)1712748.913999
0.2444 (4.0909)1471520.255116
0.2556 (3.913)1928333.119427
0.2667 (3.75)2175310.088745
0.2778 (3.6)7648828.751986
0.2889 (3.4615)341998.89078
0.3 (3.3333)1680586.103183
0.3111 (3.2143)7243505.281694
0.3222 (3.1034)65052.975821
0.3333 (3)142700.015138
0.3444 (2.9032)4459018.767936
0.3556 (2.8125)3673552.353295
0.3667 (2.7273)1859234.299231
0.3778 (2.6471)686774.253751
0.3889 (2.5714)846813.673783
0.4 (2.5)1208866.072663
0.4111 (2.4324)245310.646738
0.4222 (2.3684)170594.217058
0.4333 (2.3077)663723.72369
0.4444 (2.25)2612631.20059
0.4556 (2.1951)1434208.133622
0.4667 (2.1429)7323605.647826
0.4778 (2.093)3397123.456602
0.4889 (2.0455)2558224.157006
0.5 (2)634073.710843



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