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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: Wed, 28 Nov 2007 09:36:27 -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/28/t1196267154i2pbxklqsax9i0x.htm/, Retrieved Wed, 28 Nov 2007 17:25:56 +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 time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135


Autocorrelation Function
Time lag kACF(k)T-STATP-value
018.24620
10.3606652.97410.002032
20.3859453.18260.001101
30.4155483.42670.00052
40.201641.66280.050481
50.3005652.47850.00784
60.2249891.85530.033944
7-0.003902-0.03220.512786
80.104080.85830.196881
90.0453640.37410.354755
10-0.019511-0.16090.563674
110.0137530.11340.455021
12-0.127714-1.05320.852002
13-0.061755-0.50920.693885
140.0299280.24680.402907
15-0.00187-0.01540.506128
16-0.059692-0.49220.687931
170.0887570.73190.23337
180.0483690.39890.345623
190.083860.69150.245794
200.148431.2240.112591
210.119940.9890.163073
22-0.002832-0.02340.509281
230.1689031.39280.084107
24-0.015997-0.13190.552278
250.0059520.04910.480497
260.1084670.89440.18712
27-0.061614-0.50810.69348
280.0155270.1280.449248
29-0.045562-0.37570.64585
30-0.094088-0.77590.779742
31-0.069425-0.57250.715561
32-0.024316-0.20050.579163
33-0.119149-0.98250.835339
34-0.005338-0.0440.51749
35-0.052307-0.43130.666207
36-0.098681-0.81370.790683
370.0001950.00160.499361
38-0.055396-0.45680.675367
39-0.08216-0.67750.74981
400.0096140.07930.468521
41-0.055394-0.45680.675362
42-0.07638-0.62980.734546
43-0.012055-0.09940.539446
44-0.084607-0.69770.756125
45-0.110486-0.91110.817267
46-0.117513-0.9690.83202
47-0.140604-1.15950.874836


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.3606652.97410.002032
10.2941252.42540.008975
20.2657882.19170.015913
3-0.074376-0.61330.729144
40.1076810.8880.188847
50.0187650.15470.438741
6-0.233615-1.92640.970885
7-0.019481-0.16060.563577
80.0307710.25370.400228
9-0.009517-0.07850.531163
10-0.035549-0.29310.614847
11-0.108486-0.89460.812922
120.0438920.36190.359257
130.1129210.93120.17753
140.0911480.75160.227436
15-0.109154-0.90010.814381
160.1498541.23570.110407
170.0765990.63170.264866
18-0.023937-0.19740.577945
190.0182240.15030.440495
200.1030620.84990.19919
21-0.199516-1.64520.947733
220.047680.39320.347709
23-0.131909-1.08780.859727
24-0.02063-0.17010.567289
250.1157170.95420.171675
26-0.011866-0.09790.538831
27-0.034127-0.28140.610377
28-0.08147-0.67180.748013
290.0733490.60490.273646
30-0.106051-0.87450.807542
310.097850.80690.21127
320.0058310.04810.480894
330.0085550.07050.471982
34-0.003859-0.03180.512648
35-0.109309-0.90140.814717
360.0116550.09610.461859
37-0.033758-0.27840.609216
380.0100940.08320.466954
39-0.061074-0.50360.691924
400.0143440.11830.453094
41-0.02727-0.22490.588624
42-0.01528-0.1260.54995
43-0.009583-0.0790.531376
44-0.062655-0.51670.696468
45-0.12667-1.04460.850035
46-0.011662-0.09620.538165
470.0698840.57630.283165
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196267154i2pbxklqsax9i0x/1eegl1196267785.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196267154i2pbxklqsax9i0x/1eegl1196267785.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196267154i2pbxklqsax9i0x/2fzr01196267785.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/28/t1196267154i2pbxklqsax9i0x/2fzr01196267785.ps (open in new window)


 
Parameters:
par1 = 48 ; par2 = 0.0 ; 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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