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workshop 7 Q2 R

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 02:12:54 -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/t1196326963tjct2kp15ivhee1.htm/, Retrieved Thu, 29 Nov 2007 10:02:43 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
106,7 110,2 125,9 100,1 106,4 114,8 81,3 87 104,2 108 105 94,5 92 95,9 108,8 103,4 102,1 110,1 83,2 82,7 106,8 113,7 102,5 96,6 92,1 95,6 102,3 98,6 98,2 104,5 84 73,8 103,9 106 97,2 102,6 89 93,8 116,7 106,8 98,5 118,7 90 91,9 113,3 113,1 104,1 108,7 96,7 101 116,9 105,8 99 129,4 83 88,9 115,9 104,2 113,4 112,2 100,8 107,3 126,6 102,9 117,9 128,8 87,5 93,8 122,7 126,2 124,6 116,7 115,2 111,1 129,9 113,3 118,5 133,5 102,1 102,4
 
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
018.24620
10.3435772.83320.00303
20.3454972.8490.002898
30.3750843.0930.001437
40.1877871.54850.063069
50.2980052.45740.008275
60.185731.53160.065135
7-0.026847-0.22140.587273
80.0579770.47810.31706
90.0095860.0790.468614
10-0.066076-0.54490.70619
11-0.075615-0.62350.732492
12-0.188189-1.55180.937329
13-0.079503-0.65560.742853
14-0.006826-0.05630.52236
15-0.030768-0.25370.59976
16-0.094702-0.78090.781223
170.0558260.46040.323366
180.0685180.5650.286963
190.0962880.7940.214974
200.1203940.99280.162165
210.1229181.01360.157181
220.0017070.01410.494407
230.1699311.40130.082837
24-0.019492-0.16070.56361
250.0172040.14190.443802
260.1086050.89560.186819
27-0.050237-0.41430.660009
280.0151770.12520.450385
29-0.045137-0.37220.644552
30-0.122261-1.00820.841532
31-0.109969-0.90680.816149
320.0020050.01650.493429
33-0.12379-1.02080.844516
34-0.014198-0.11710.546429
350.0022310.01840.492688


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.3435772.83320.00303
10.2578962.12670.01854
20.2409651.9870.025474
3-0.045397-0.37430.645345
40.1447591.19370.118369
5-0.019936-0.16440.565046
6-0.232851-1.92010.970482
7-0.046186-0.38090.647752
80.0148780.12270.451358
9-0.054411-0.44870.672456
10-0.086357-0.71210.760586
11-0.097538-0.80430.787992
120.1002490.82670.205656
130.1191560.98260.164646
140.0788570.65030.258853
15-0.098099-0.80890.789316
160.1583451.30570.09802
170.0879420.72520.235413
18-0.009179-0.07570.530058
19-0.021473-0.17710.57001
200.0999080.82390.206449
21-0.204082-1.68290.95151
220.0272870.2250.41132
23-0.180078-1.4850.928912
240.0641980.52940.29913
250.104720.86350.195437
26-0.016491-0.1360.553884
27-0.036248-0.29890.617039
280.0011690.00960.49617
290.0116450.0960.46189
30-0.146434-1.20750.884294
310.1543081.27250.103773
32-0.003364-0.02770.511024
330.0180220.14860.44115
340.0502030.4140.340095
35-0.062334-0.5140.695547
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196326963tjct2kp15ivhee1/16znh1196327569.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196326963tjct2kp15ivhee1/16znh1196327569.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196326963tjct2kp15ivhee1/261x31196327569.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/29/t1196326963tjct2kp15ivhee1/261x31196327569.ps (open in new window)


 
Parameters:
par1 = 36 ; par2 = -1.7 ; par3 = 0 ; 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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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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