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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: Fri, 30 Nov 2007 06:49:18 -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/30/t11964299357veohs8t75ynw3z.htm/, Retrieved Fri, 30 Nov 2007 14:38:57 +0100
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
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
017.7460
10.2249491.74240.043277
2-0.003033-0.02350.509332
30.3690632.85870.00292
40.051520.39910.345628
50.1786961.38420.085716
60.5165844.00148.8e-05
70.1227430.95080.17277
80.0417130.32310.373869
90.2284691.76970.040928
10-0.219192-1.69790.952642
110.0335550.25990.39791
120.5681154.40062.3e-05
13-0.019376-0.15010.559398
14-0.129444-1.00270.839975
150.1240180.96060.170294
16-0.1507-1.16730.876149
17-0.011636-0.09010.535759
180.2280951.76680.041172
19-0.041284-0.31980.624878
20-0.048612-0.37660.646082
210.0648850.50260.308543
22-0.298111-2.30920.987803
23-0.005381-0.04170.516555
240.328462.54420.006772
25-0.081057-0.62790.733762
26-0.08571-0.66390.745352
270.0080490.06230.475247
28-0.186932-1.4480.923585
29-0.048605-0.37650.646062
300.0846130.65540.257356
31-0.07443-0.57650.716793
32-0.044952-0.34820.635543
33-0.08958-0.69390.754783
34-0.277354-2.14840.982135
35-0.084911-0.65770.743383
360.0774570.60.27539
37-0.132918-1.02960.84633
38-0.179468-1.39010.91519
39-0.136939-1.06070.853467
40-0.208262-1.61320.944024
41-0.146784-1.1370.869967
42-0.07782-0.60280.725542
43-0.121761-0.94320.825307
44-0.106934-0.82830.794611
45-0.151503-1.17350.877392
46-0.218727-1.69430.952299
47-0.113864-0.8820.809348


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.2249491.74240.043277
1-0.056494-0.43760.668375
20.4041683.13070.001347
3-0.171762-1.33050.905799
40.3483362.69820.00452
50.2907692.25230.013988
60.0083920.0650.474192
7-0.00972-0.07530.529882
8-0.037139-0.28770.612708
9-0.444147-3.44030.999468
100.1202420.93140.177692
110.385542.98640.002041
12-0.171027-1.32480.904864
13-0.107907-0.83580.796719
14-0.086541-0.67030.747394
150.1074470.83230.204275
16-0.061889-0.47940.683297
17-0.127533-0.98790.836408
180.0861560.66740.253551
19-0.042827-0.33170.629379
200.0300610.23290.408335
21-0.008918-0.06910.527421
220.162241.25670.106866
23-0.073937-0.57270.71551
240.0424370.32870.371757
250.0043270.03350.486687
26-0.116881-0.90540.815551
27-0.074381-0.57620.716666
28-0.0782-0.60570.726512
29-0.042066-0.32580.62716
30-0.006703-0.05190.520619
31-0.038502-0.29820.616724
32-0.087747-0.67970.750341
330.1583651.22670.112365
34-0.186255-1.44270.922851
350.0100990.07820.468955
36-0.065496-0.50730.693108
37-0.167046-1.29390.899677
380.0485140.37580.354201
39-0.031895-0.24710.597145
400.0415680.3220.374292
41-0.066688-0.51660.696321
42-0.001401-0.01090.504311
430.0461510.35750.360991
440.0657250.50910.306272
45-0.076861-0.59540.723079
46-0.041402-0.32070.625224
47-0.061997-0.48020.683594
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964299357veohs8t75ynw3z/1leiz1196430556.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964299357veohs8t75ynw3z/1leiz1196430556.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964299357veohs8t75ynw3z/2gfnj1196430556.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/30/t11964299357veohs8t75ynw3z/2gfnj1196430556.ps (open in new window)


 
Parameters:
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; 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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