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*The author of this computation has been verified*
R Software Module: rwasp_autocorrelation.wasp (opens new window with default values)
Title produced by software: (Partial) Autocorrelation Function
Date of computation: Thu, 11 Dec 2008 08:05:26 -0700
 
Cite this page as follows:
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2008/Dec/11/t1229007988x0x33l2fwtbg6ih.htm/, Retrieved Thu, 11 Dec 2008 15:06:30 +0000
 
BibTeX entries for LaTeX users:
@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2008/Dec/11/t1229007988x0x33l2fwtbg6ih.htm/},
    year = {2008},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2008},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}
 
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
 
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Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
124 118.63 121.86 119.97 125.03 130.09 126.65 121.7 119.24 122.63 116.66 114.12 113.11 112.61 113.4 115.18 121.01 119.44 116.68 117.07 117.41 119.58 120.92 117.09 116.77 119.39 122.49 124.08 118.29 112.94 113.79 114.43 118.7 120.36 118.27 118.34 117.82 117.65 118.18 121.02 124.78 131.16 130.14 131.75 134.73 135.35 140.32 136.35 131.6 128.9 133.89 138.25 146.23 144.76 149.3 156.8 159.08 165.12 163.14 153.43 151.01
 
Output produced by software:


Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ 72.249.76.132


Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9346277.29970
20.8437926.59020
30.7367615.75430
40.6355684.96393e-06
50.5595894.37052.5e-05
60.4804713.75260.000196
70.4114163.21330.001049
80.3603122.81410.003287
90.3223372.51750.00723
100.3080662.40610.009585
110.2943622.2990.012471
120.2642842.06410.021633
130.2218181.73250.044123
140.1714751.33930.092727
150.1089720.85110.199022
160.0643750.50280.308463
170.0183330.14320.443309
18-0.026742-0.20890.417627
19-0.065248-0.50960.306085
20-0.108148-0.84470.2008
21-0.138944-1.08520.141054
22-0.158839-1.24060.109757
23-0.172465-1.3470.091483
24-0.180362-1.40870.082005
25-0.18828-1.47050.073281
26-0.204481-1.5970.057712
27-0.212552-1.66010.051015
28-0.218716-1.70820.046339
29-0.222057-1.73430.043956
30-0.21392-1.67080.049945
31-0.217262-1.69690.04741
32-0.222212-1.73550.043848
33-0.230619-1.80120.038308
34-0.239618-1.87150.033038
35-0.237757-1.85690.034075
36-0.234483-1.83140.035965


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9346277.29970
2-0.235113-1.83630.035594
3-0.146835-1.14680.127968
40.0265690.20750.418151
50.1420711.10960.135762
6-0.163172-1.27440.103676
70.0089090.06960.472378
80.1251050.97710.166188
90.0323070.25230.400819
100.0696490.5440.29422
11-0.053357-0.41670.339168
12-0.149744-1.16950.123368
13-0.064119-0.50080.309161
140.0161830.12640.449919
15-0.15657-1.22290.113045
160.1286891.00510.15941
17-0.042359-0.33080.370953
18-0.079958-0.62450.267316
19-0.008497-0.06640.473654
20-0.051525-0.40240.344389
21-0.040079-0.3130.377665
220.0262410.20490.419148
230.0261770.20440.419341
24-0.054034-0.4220.337247
250.0462980.36160.35945
26-0.093332-0.72890.234412
270.0305940.23890.405973
280.0001139e-040.499649
29-0.006499-0.05080.479842
300.0372740.29110.385974
31-0.058337-0.45560.325139
32-0.04161-0.3250.373153
33-0.05498-0.42940.334569
340.029670.23170.408761
35-0.022283-0.1740.431205
360.0069780.05450.478358
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/11/t1229007988x0x33l2fwtbg6ih/1vn5z1229007924.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/11/t1229007988x0x33l2fwtbg6ih/1vn5z1229007924.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/11/t1229007988x0x33l2fwtbg6ih/23j6w1229007924.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/11/t1229007988x0x33l2fwtbg6ih/23j6w1229007924.ps (open in new window)


 
Parameters (Session):
par1 = 36 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;
 
Parameters (R input):
par1 = 36 ; 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 2:(par1+1)) {
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(abs(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,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(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')
 





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Error 001_3: History of computation (impact.txt) is not saved due to a technical problem. We are sorry for this inconveniance and will correct it A.S.A.P.