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R Software Module: /rwasp_autocorrelation.wasp (opens new window with default values)
Title produced by software: (Partial) Autocorrelation Function
Date of computation: Sat, 20 Nov 2010 15:48:15 +0000
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2010/Nov/20/t1290268000bebqcyac8viygyc.htm/, Retrieved Sat, 20 Nov 2010 16:46:42 +0100
 
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/2010/Nov/20/t1290268000bebqcyac8viygyc.htm/},
    year = {2010},
}
@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 = {2010},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
KDGP2W12
 
Dataseries X:
» Textbox « » Textfile « » CSV «
84,9 81,9 95,9 81 89,2 102,5 89,8 88,8 83,2 90,2 100,4 187,1 87,6 85,4 86,1 86,7 89,1 103,7 86,9 85,2 80,8 91,2 102,8 182,5 80,9 83,1 88,3 86,6 93 105,3 93,8 86,4 87 96,7 100,5 196,7 86,8 88,2 93,8 85 90,4 115,9 94,9 87,7 91,7 95,9 106,8 204,5 90,2 90,5 93,2 97,8 99,4 120 108,2 98,5 104,3 102,9 111,1 188,1 93,8 94,5 112,4 102,5 115,8 136,5 122,1 110,6 116,4 112,6 121,5 199,3
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ 72.249.76.132


Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.407087-3.43020.000504
2-0.065081-0.54840.292575
30.0188510.15880.437122
4-0.077847-0.65590.256988
5-0.109014-0.91860.180716
60.3197382.69420.0044
7-0.078201-0.65890.256035
8-0.092748-0.78150.218552
90.0471210.3970.346263
10-0.066455-0.560.288634
11-0.389797-3.28450.000794
120.8176856.88990
13-0.332186-2.79910.003297
14-0.05413-0.45610.324852
150.0152730.12870.448981
16-0.060685-0.51130.305349
17-0.093655-0.78910.216327
180.2590882.18310.016167
19-0.052609-0.44330.329453
20-0.087804-0.73980.230917
210.0517540.43610.332049
22-0.062808-0.52920.299148
23-0.326944-2.75490.003727
240.6398275.39130
25-0.238622-2.01070.02408
26-0.038961-0.32830.371828
270.0088330.07440.470438
28-0.040045-0.33740.368397
29-0.085623-0.72150.236494
300.1979831.66820.049837
31-0.028952-0.2440.403986
32-0.0776-0.65390.257654
330.047120.3970.346264
34-0.056054-0.47230.319074
35-0.225879-1.90330.030528
360.4299233.62260.000272
37-0.146947-1.23820.10986
38-0.031918-0.26890.394377
390.0027770.02340.490699
40-0.020441-0.17220.43187
41-0.05577-0.46990.319923
420.1201371.01230.157418
43-0.010961-0.09240.463338
44-0.055869-0.47080.319628
450.0433530.36530.357987
46-0.042353-0.35690.361124
47-0.131156-1.10510.136415
480.2203361.85660.033759


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.407087-3.43020.000504
2-0.276647-2.33110.011297
3-0.16561-1.39550.083614
4-0.211144-1.77910.039749
5-0.351982-2.96590.002055
60.0664370.55980.288685
70.0908210.76530.223324
8-0.012226-0.1030.45912
90.0137540.11590.454033
10-0.021222-0.17880.429296
11-0.609382-5.13471e-06
120.5434314.5791e-05
130.0907720.76490.223445
14-0.003234-0.02720.489169
15-0.002985-0.02520.490002
16-0.014864-0.12520.450343
170.1259911.06160.146003
18-0.081204-0.68420.248025
19-0.054682-0.46080.323191
200.0158390.13350.447102
21-0.06339-0.53410.29746
22-0.065131-0.54880.292432
230.0311410.26240.396889
24-0.084823-0.71470.238558
250.0522450.44020.330557
260.0322480.27170.393311
270.0158540.13360.447054
280.0752790.63430.263958
29-0.015073-0.1270.449646
30-0.009136-0.0770.469427
31-0.008697-0.07330.470894
32-0.040734-0.34320.36622
33-0.035311-0.29750.383464
34-0.053834-0.45360.325746
350.1265091.0660.145021
36-0.12935-1.08990.139716
37-0.022433-0.1890.425307
380.0034090.02870.488583
39-0.011606-0.09780.461186
400.0270740.22810.4101
410.01340.11290.455209
42-0.042108-0.35480.361894
43-0.019348-0.1630.435478
44-0.026086-0.21980.413328
450.01840.1550.438614
460.0476340.40140.344675
470.0171770.14470.442666
48-0.121309-1.02220.155085
 
Charts produced by software:
http://www.freestatistics.org/blog/date/2010/Nov/20/t1290268000bebqcyac8viygyc/1vr8w1290268092.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/20/t1290268000bebqcyac8viygyc/1vr8w1290268092.ps (open in new window)


http://www.freestatistics.org/blog/date/2010/Nov/20/t1290268000bebqcyac8viygyc/2vr8w1290268092.png (open in new window)
http://www.freestatistics.org/blog/date/2010/Nov/20/t1290268000bebqcyac8viygyc/2vr8w1290268092.ps (open in new window)


 
Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
 
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
 
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 (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
par7 <- as.numeric(par7)
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='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep=''))
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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This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa


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