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WS7 - PACF - Electronics

R Software Module: rwasp_autocorrelation.wasp (opens new window with default values)
Title produced by software: (Partial) Autocorrelation Function
Date of computation: Sat, 24 Nov 2007 07:31:38 -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/24/t119591418788gsc5e14opjru2.htm/, Retrieved Sat, 24 Nov 2007 15:23:09 +0100
 
User-defined keywords:
WS7PACFE
 
Dataseries X:
» Textbox « » Textfile « » CSV «
105,5 106,4 117,9 89,7 88,5 106,4 61,4 92,3 95,5 92,5 89,6 84,3 76,3 80,7 96,3 81 82,9 90,3 74,8 70,1 86,7 86,4 89,9 88,1 78,8 81,1 85,4 82,6 80,3 81,2 68 67,4 91,3 94,9 82,8 88,6 73,1 76,7 93,2 84,9 83,8 93,5 91,9 69,6 87 90,2 82,7 91,4 74,6 76,1 87,1 78,4 81,3 99,3 71 73,2 95,6 84 90,8 93,6 80,9 84,4 97,3 83,5 88,8 100,7 69,4 74,6 96,6 96,6 93,1 91,8 85,7 79,1 91,3 84,2 85,8 90 76,6 81,3
 
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 time1 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Autocorrelation Function
Time lag kACF(k)T-STATP-value
018.24620
10.3123122.57540.006096
20.2310311.90510.030497
30.2072981.70940.045966
40.0720490.59410.277198
50.1253881.0340.152406
60.0878470.72440.235651
70.1763141.45390.075284
80.0118330.09760.461277
90.1103530.910.18302
100.0077630.0640.474572
11-0.034373-0.28340.611152
12-0.163674-1.34970.909205
13-0.070683-0.58290.719045
140.1019390.84060.201757
150.036380.30.382548
160.0261880.2160.414836
170.1583231.30560.09805
180.0368610.3040.381042


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.3123122.57540.006096
10.147921.21980.113381
20.1128570.93060.177666
3-0.048352-0.39870.654326
40.0778040.64160.261647
50.0170840.14090.44419
60.1428011.17760.121537
7-0.122179-1.00750.84137
80.1007930.83120.204397
9-0.09482-0.78190.781509
10-0.018133-0.14950.559209
11-0.237679-1.960.972949
120.0847940.69920.243398
130.1469831.21210.114843
140.0791610.65280.258051
15-0.106625-0.87930.808819
160.2398781.97810.025986
17-0.090469-0.7460.770889
180.0172550.14230.443637
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/24/t119591418788gsc5e14opjru2/1tltz1195914696.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/24/t119591418788gsc5e14opjru2/1tltz1195914696.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/24/t119591418788gsc5e14opjru2/23bw21195914696.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/24/t119591418788gsc5e14opjru2/23bw21195914696.ps (open in new window)


 
Parameters:
 
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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