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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: Thu, 29 Nov 2007 02:47:48 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Nov/29/t1196329118l9amjlu2lf1a65h.htm/, Retrieved Thu, 29 Nov 2007 10:38:38 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
93,5 94,7 112,9 99,2 105,6 113 83,1 81,1 96,9 104,3 97,7 102,6 89,9 96 112,7 107,1 106,2 121 101,2 83,2 105,1 113,3 99,1 100,3 93,5 98,8 106,2 98,3 102,1 117,1 101,5 80,5 105,9 109,5 97,2 114,5 93,5 100,9 121,1 116,5 109,3 118,1 108,3 105,4 116,2 111,2 105,8 122,7 99,5 107,9 124,6 115 110,3 132,7 99,7 96,5 118,7 112,9 130,5 137,9 115 116,8 140,9 120,7 134,2 147,3 112,4 107,1 128,4 137,7 135 151 137,4 132,4 161,3 139,8 146 154,6 142,1 120,5
 
Text written by user:
 
Output produced by software:


Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001


Autocorrelation Function
Time lag kACF(k)T-STATP-value
018.18540
1-0.410133-3.35710.999349
2-0.167629-1.37210.912696
30.0989280.80980.210472
40.020230.16560.43449
50.0289240.23680.406785
6-0.013436-0.110.543623
70.0429950.35190.362999
8-0.161405-1.32120.904529
90.0988560.80920.21064
10-0.033716-0.2760.608292
110.0951370.77870.219439
12-0.181926-1.48910.929427
13-0.040136-0.32850.628232
140.1734451.41970.080165
15-0.042048-0.34420.634104
160.0301510.24680.402911
17-0.142371-1.16540.875997
180.0949740.77740.21983
19-0.040538-0.33180.62947
200.0179090.14660.441947
210.0237960.19480.423077
220.0429520.35160.36313
230.0387770.31740.375963
24-0.236479-1.93570.971435
250.1997971.63540.053326
260.0830530.67980.249481
27-0.170203-1.39320.915914
280.0191240.15650.438039
290.1131150.92590.178915
30-0.048272-0.39510.652995
31-0.026089-0.21350.584224
320.0416640.3410.367072
33-0.101719-0.83260.795987
340.0309340.25320.400444
350.0832890.68170.248874


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
0-0.410133-3.35710.999349
1-0.403753-3.30490.999236
2-0.234377-1.91850.970342
3-0.151803-1.24260.89082
4-0.021811-0.17850.570578
50.0270780.22160.412633
60.1306991.06980.144271
7-0.098052-0.80260.787476
8-0.040584-0.33220.629611
9-0.150961-1.23570.889552
100.0390190.31940.375215
11-0.186921-1.530.934639
12-0.262003-2.14460.982192
13-0.138797-1.13610.870019
14-0.071929-0.58880.721
150.0691430.5660.286655
16-0.071364-0.58410.719455
17-0.020747-0.16980.567168
18-0.12058-0.9870.836401
19-0.192805-1.57820.940382
20-0.215168-1.76120.958618
21-0.05388-0.4410.669692
220.1633461.3370.092865
23-0.140634-1.15110.873116
24-0.130586-1.06890.855523
250.0702860.57530.283503
26-0.05631-0.46090.676823
27-0.081417-0.66640.746286
28-0.032286-0.26430.60381
290.0064090.05250.479158
300.0428250.35050.363519
31-0.026043-0.21320.584079
32-0.071517-0.58540.719875
33-0.052808-0.43220.666526
340.100610.82350.206564
35-0.08142-0.66640.746294
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196329118l9amjlu2lf1a65h/1p3do1196329663.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196329118l9amjlu2lf1a65h/1p3do1196329663.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196329118l9amjlu2lf1a65h/2vnyh1196329663.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196329118l9amjlu2lf1a65h/2vnyh1196329663.ps (open in new window)


 
Parameters:
par1 = 36 ; par2 = 1.2 ; par3 = 1 ; par4 = 1 ; 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 1:par1) {
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(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-1,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(mytstat,lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
 





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