Home » date » 2009 » Nov » 27 »

WS8: acf 1

*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: Fri, 27 Nov 2009 08:07:41 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/Nov/27/t125933455958jp6t0kaelvux7.htm/, Retrieved Fri, 27 Nov 2009 16:09:21 +0100

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/2009/Nov/27/t125933455958jp6t0kaelvux7.htm/},
    year = {2009},
}
@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 = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

9.9 9.8 9.3 8.3 8 8.5 10.4 11.1 10.9 10 9.2 9.2 9.5 9.6 9.5 9.1 8.9 9 10.1 10.3 10.2 9.6 9.2 9.3 9.4 9.4 9.2 9 9 9 9.8 10 9.8 9.3 9 9 9.1 9.1 9.1 9.2 8.8 8.3 8.4 8.1 7.7 7.9 7.9 8 7.9 7.6 7.1 6.8 6.5 6.9 8.2 8.7 8.3 7.9 7.5 7.8 8.3

Output produced by software:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
1	0.86129	6.7269	0
2	0.605295	4.7275	7e-06
3	0.412932	3.2251	0.001013
4	0.394325	3.0798	0.001552
5	0.495572	3.8705	0.000133
6	0.581838	4.5443	1.3e-05
7	0.545918	4.2638	3.5e-05
8	0.426668	3.3324	0.000733
9	0.318849	2.4903	0.007752
10	0.282402	2.2056	0.015594
11	0.299974	2.3429	0.011207
12	0.299733	2.341	0.011259
13	0.209585	1.6369	0.053399
14	0.097204	0.7592	0.225331
15	0.020915	0.1634	0.435391
16	0.009704	0.0758	0.469918
17	0.029269	0.2286	0.409972
18	0.026692	0.2085	0.417779
19	-0.03224	-0.2518	0.40102
20	-0.106272	-0.83	0.204885
21	-0.137107	-1.0708	0.144229
22	-0.105866	-0.8268	0.205774
23	-0.050057	-0.391	0.348596
24	-0.029963	-0.234	0.407878
25	-0.088375	-0.6902	0.246334
26	-0.173957	-1.3586	0.089631
27	-0.224661	-1.7547	0.04217
28	-0.218051	-1.703	0.046826
29	-0.176762	-1.3806	0.086226
30	-0.14887	-1.1627	0.124738
31	-0.171214	-1.3372	0.093057
32	-0.224917	-1.7567	0.041997
33	-0.261759	-2.0444	0.022618
34	-0.264505	-2.0658	0.021549
35	-0.242102	-1.8909	0.031696
36	-0.225646	-1.7623	0.04151

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	0.86129	6.7269	0
2	-0.528805	-4.1301	5.6e-05
3	0.383731	2.997	0.001969
4	0.39236	3.0644	0.001623
5	0.043739	0.3416	0.366907
6	-0.048889	-0.3818	0.351954
7	-0.118556	-0.926	0.17906
8	0.157836	1.2327	0.111202
9	0.010694	0.0835	0.466853
10	-0.109945	-0.8587	0.196935
11	-0.046849	-0.3659	0.357852
12	-0.105263	-0.8221	0.207103
13	-0.278863	-2.178	0.016641
14	0.241063	1.8828	0.032252
15	-0.168979	-1.3198	0.095922
16	-0.111694	-0.8724	0.193217
17	0.016044	0.1253	0.450345
18	-0.008688	-0.0679	0.473061
19	-0.011138	-0.087	0.465481
20	0.002839	0.0222	0.49119
21	0.127029	0.9921	0.162527
22	0.093541	0.7306	0.233917
23	-0.044906	-0.3507	0.3635
24	0.021757	0.1699	0.432814
25	-0.044826	-0.3501	0.363735
26	-0.055565	-0.434	0.332918
27	0.016483	0.1287	0.448994
28	-0.146999	-1.1481	0.127705
29	-0.014221	-0.1111	0.455963
30	-0.059656	-0.4659	0.321464
31	-0.090832	-0.7094	0.240384
32	-0.044327	-0.3462	0.365191
33	-0.032736	-0.2557	0.399531
34	-0.075669	-0.591	0.278354
35	0.028597	0.2234	0.412004
36	-0.017872	-0.1396	0.444725

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Nov/27/t125933455958jp6t0kaelvux7/1r0341259334460.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/27/t125933455958jp6t0kaelvux7/1r0341259334460.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/27/t125933455958jp6t0kaelvux7/2tj7k1259334460.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Nov/27/t125933455958jp6t0kaelvux7/2tj7k1259334460.ps (open in new window)

Parameters (Session):

par1 = 36 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;

Parameters (R input):

par1 = 36 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;

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 (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'

par7 <- as.numeric(par7)

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='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep=''))

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')

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

We may request personal information to be submitted to our servers in order to be able to:

personalize online software applications according to your needs
enforce strict security rules with respect to the data that you upload (e.g. statistical data)
manage user sessions of online applications
alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.

FreeStatistics.org is powered by