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Non stat time series Q8 ACF

*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: Tue, 02 Dec 2008 13:08:10 -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/02/t1228248585lzyq2jei5axe2v8.htm/, Retrieved Tue, 02 Dec 2008 20:09:47 +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/02/t1228248585lzyq2jei5axe2v8.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)
 
Feedback Forum:
2008-11-27 13:41:43 [a2386b643d711541400692649981f2dc] [reply
test

Post a new message
 
Original text written by user:
 
IsPrivate?
No (this computation is public)
 
User-defined keywords:
 
Dataseries X:
» Textbox « » Textfile « » CSV «
105,4 107,1 110,7 117,1 118,7 126,5 127,5 134,6 131,8 135,9 142,7 141,7 153,4 145 137,7 148,3 152,2 169,4 168,6 161,1 174,1 179 190,6 190 181,6 174,8 180,5 196,8 193,8 197 216,3 221,4 217,9 229,7 227,4 204,2 196,6 198,8 207,5 190,7 201,6 210,5 223,5 223,8 231,2 244 234,7 250,2 265,7 287,6 283,3 295,4 312,3 333,8 347,7 383,2 407,1 413,6 362,7 321,9 239,4
 
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'Gwilym Jenkins' @ 72.249.127.135


Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9549347.45830
20.8794896.8690
30.7878166.1530
40.6965455.44020
50.6104454.76776e-06
60.5381134.20284.4e-05
70.4751813.71130.000224
80.417753.26270.000905
90.3632472.8370.003086
100.3170362.47610.008036
110.2735772.13670.018321
120.2313571.8070.037851
130.197011.53870.064524
140.1654471.29220.100584
150.1316671.02840.153922
160.0998960.78020.219142
170.0746830.58330.280923
180.0596140.46560.321581
190.0488950.38190.351939
200.039320.30710.379907
210.0377080.29450.384685
220.034220.26730.395084
230.0303710.23720.406646
240.0210790.16460.434888
250.0030170.02360.490638
26-0.026726-0.20870.417675
27-0.06039-0.47170.319425
28-0.088656-0.69240.24565
29-0.116516-0.910.183198
30-0.140793-1.09960.137907
31-0.154756-1.20870.115725
32-0.16342-1.27630.103335
33-0.172653-1.34850.091248
34-0.177459-1.3860.085397
35-0.183491-1.43310.078466
36-0.201959-1.57730.059944


Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9549347.45830
2-0.367882-2.87320.002792
3-0.127367-0.99480.16189
40.0432060.33750.368467
5-0.00128-0.010.496028
60.0748440.58460.280503
7-0.028798-0.22490.411397
8-0.049686-0.38810.349662
9-0.02556-0.19960.421218
100.0628440.49080.312655
11-0.046223-0.3610.35967
12-0.04405-0.3440.365998
130.0753250.58830.27925
14-0.053046-0.41430.340053
15-0.075646-0.59080.278413
160.0317410.24790.402519
170.0465110.36330.358834
180.064350.50260.308532
19-0.038745-0.30260.38161
20-0.055877-0.43640.33204
210.1015280.7930.215437
22-0.057781-0.45130.326693
230.0004170.00330.498707
24-0.076733-0.59930.275594
25-0.090207-0.70450.241889
26-0.072401-0.56550.286914
270.0090840.07090.471837
280.0727590.56830.285971
29-0.102714-0.80220.212769
300.0155750.12160.451791
310.0660070.51550.304024
32-0.06059-0.47320.318872
33-0.032455-0.25350.400376
340.0540510.42220.337198
35-0.077558-0.60570.273465
36-0.188338-1.4710.07322
 
Charts produced by software:
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/02/t1228248585lzyq2jei5axe2v8/16ygw1228248488.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/02/t1228248585lzyq2jei5axe2v8/16ygw1228248488.ps (open in new window)


http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/02/t1228248585lzyq2jei5axe2v8/27mf01228248488.png (open in new window)
http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/02/t1228248585lzyq2jei5axe2v8/27mf01228248488.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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