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paper autocorrelation adapted bel20

*Unverified author*
R Software Module: rwasp_autocorrelation.wasp (opens new window with default values)
Title produced by software: (Partial) Autocorrelation Function
Date of computation: Wed, 03 Dec 2008 07:02:03 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Dec/03/t1228312986ebv2mcgxhquyith.htm/, Retrieved Wed, 03 Dec 2008 14:03:08 +0000
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2008/Dec/03/t1228312986ebv2mcgxhquyith.htm/},
    year = {2008},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2008},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
 
Feedback Forum:
2008-11-27 13:41:43 [a2386b643d711541400692649981f2dc] [reply
test

Post a new message
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
2659.81 2638.53 2720.25 2745.88 2735.7 2811.7 2799.43 2555.28 2304.98 2214.95 2065.81 1940.49 2042 1995.37 1946.81 1765.9 1635.25 1833.42 1910.43 1959.67 1969.6 2061.41 2093.48 2120.88 2174.56 2196.72 2350.44 2440.25 2408.64 2472.81 2407.6 2454.62 2448.05 2497.84 2645.64 2756.76 2849.27 2921.44 2981.85 3080.58 3106.22 3119.31 3061.26 3097.31 3161.69 3257.16 3277.01 3295.32 3363.99 3494.17 3667.03 3813.06 3917.96 3895.51 3801.06 3570.12 3701.61 3862.27 3970.1 4138.52 4199.75 4290.89 4443.91 4502.64 4356.98 4591.27 4696.96 4621.4 4562.84 4202.52 4296.49 4435.23 4105.18 4116.68 3844.49 3720.98 3674.4 3857.62 3801.06 3504.37 3032.6 3047.03
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.325871-2.91470.002308
2-0.15371-1.37480.086512
3-0.007065-0.06320.474886
4-0.154697-1.38360.085158
50.1740951.55710.061691
60.0357980.32020.37483
7-0.106637-0.95380.171531
80.145221.29890.098857
9-0.089681-0.80210.212427
10-0.10013-0.89560.186579
110.0837510.74910.227999
120.0758610.67850.2497
13-0.131962-1.18030.120689
140.0932630.83420.203336
15-0.036249-0.32420.373308
160.0028710.02570.489788
170.0591760.52930.299037
18-0.094312-0.84360.200718
190.0190630.17050.432522
200.0114730.10260.459261
210.0098070.08770.465161
220.0120340.10760.457277
23-0.057629-0.51550.303829
24-0.052703-0.47140.319323
250.1258231.12540.131893
26-0.012031-0.10760.457288
270.050270.44960.327097
28-0.041022-0.36690.357327
29-0.066399-0.59390.27713
30-0.020697-0.18510.426802
310.0047090.04210.483255
320.0779740.69740.24378
33-0.002946-0.02630.489522
340.0271180.24250.404488
35-0.084656-0.75720.225582
360.0265710.23770.406378


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.325871-2.91470.002308
2-0.290781-2.60080.005537
3-0.20346-1.81980.036265
4-0.359832-3.21840.000931
5-0.132013-1.18080.120599
6-0.088232-0.78920.216173
7-0.173682-1.55350.062131
80.0362840.32450.373191
9-0.008247-0.07380.470691
10-0.129465-1.1580.12516
11-0.076771-0.68670.247141
120.0848120.75860.225166
13-0.157073-1.40490.08196
14-0.032968-0.29490.384427
15-0.005463-0.04890.480576
16-0.015823-0.14150.443905
170.0056640.05070.479861
180.0026850.0240.490451
19-0.017427-0.15590.438264
20-0.085247-0.76250.22401
210.0324220.290.386288
22-0.023768-0.21260.416094
23-0.11753-1.05120.148161
24-0.176795-1.58130.058878
250.0027130.02430.49035
26-0.068937-0.61660.269628
270.0686560.61410.270453
280.0674940.60370.273881
290.0260510.2330.408174
30-0.052813-0.47240.318972
31-0.065102-0.58230.281004
320.0013320.01190.49526
33-0.114646-1.02540.154126
340.0472160.42230.336966
35-0.035852-0.32070.374649
360.0376210.33650.368691
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/03/t1228312986ebv2mcgxhquyith/13hs91228312921.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/03/t1228312986ebv2mcgxhquyith/13hs91228312921.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/03/t1228312986ebv2mcgxhquyith/25nqg1228312921.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/03/t1228312986ebv2mcgxhquyith/25nqg1228312921.ps (open in new window)


 
Parameters (Session):
par1 = 1 ; par2 = 0 ; par3 = 1 ; par4 = 12 ;
 
Parameters (R input):
par1 = 36 ; par2 = 0.9 ; par3 = 2 ; par4 = 0 ; par5 = 12 ;
 
R code (references can be found in the software module):
if (par1 == 'Default') {
par1 = 10*log10(length(x))
} else {
par1 <- as.numeric(par1)
}
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x,par1,main='Autocorrelation',xlab='lags',ylab='ACF')
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 2:(par1+1)) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('http://www.xycoon.com/basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
 





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