Blog & Share Statistical Computations at FreeStatistics.org

Home » date » 2009 » Dec » 16 »

*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: Wed, 16 Dec 2009 10:16:51 -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/Dec/16/t1260983851qwexupa5p2465o9.htm/, Retrieved Wed, 16 Dec 2009 18:17:33 +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/Dec/16/t1260983851qwexupa5p2465o9.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 «

16,2 16,7 18,4 16 16,5 18,2 16,8 17,3 18 19,6 23,3 23,7 20,3 22,8 24,3 21,5 23,5 22,2 20,9 22,2 19,5 21,1 22 19,2 17,8 19,2 19,9 19,6 18,1 20,4 18,1 18,6 17,6 19,4 19,3 18,6 16,9 16,4 19 18,7 17,1 21,5 17,8 18,1 19 18,9 16,8 18,1 15,7 15,1 18,3 16,5 16,9 18,4 16,4 15,7 16,9 16,6 16,7 16,6

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	0.663273	5.1377	2e-06
2	0.576417	4.4649	1.8e-05
3	0.639537	4.9538	3e-06
4	0.463381	3.5893	0.000334
5	0.384752	2.9803	0.002077
6	0.361944	2.8036	0.003399
7	0.185825	1.4394	0.077618
8	0.159596	1.2362	0.110597
9	0.093789	0.7265	0.235184
10	-0.06176	-0.4784	0.317055
11	-0.027884	-0.216	0.414864
12	0.061551	0.4768	0.317629
13	-0.129417	-1.0025	0.160074
14	-0.159803	-1.2378	0.110301
15	-0.104647	-0.8106	0.210401
16	-0.093013	-0.7205	0.237016
17	-0.091333	-0.7075	0.24101
18	-0.10179	-0.7885	0.216765
19	-0.049516	-0.3835	0.351334
20	-0.07022	-0.5439	0.294255
21	-0.123918	-0.9599	0.170487
22	-0.084499	-0.6545	0.257637
23	-0.0877	-0.6793	0.249773
24	-0.048728	-0.3774	0.353587
25	-0.072956	-0.5651	0.287051
26	-0.175862	-1.3622	0.08911
27	-0.107649	-0.8338	0.203837
28	-0.068331	-0.5293	0.299278
29	-0.146431	-1.1343	0.1306
30	-0.126665	-0.9811	0.16523
31	-0.078849	-0.6108	0.271833
32	-0.198455	-1.5372	0.064748
33	-0.208863	-1.6178	0.055471
34	-0.187525	-1.4526	0.075778
35	-0.269158	-2.0849	0.020671
36	-0.219467	-1.7	0.047156

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	0.663273	5.1377	2e-06
2	0.243695	1.8877	0.031956
3	0.358288	2.7753	0.003672
4	-0.165746	-1.2839	0.102063
5	-0.041686	-0.3229	0.373947
6	-0.053159	-0.4118	0.340987
7	-0.201433	-1.5603	0.061975
8	0.037112	0.2875	0.387372
9	-0.106431	-0.8244	0.206487
10	-0.121833	-0.9437	0.174551
11	0.093398	0.7235	0.236104
12	0.303999	2.3548	0.010912
13	-0.219904	-1.7034	0.046837
14	-0.163542	-1.2668	0.105063
15	-0.043492	-0.3369	0.36869
16	0.277716	2.1512	0.017749
17	0.015623	0.121	0.45204
18	-0.158199	-1.2254	0.112606
19	0.128639	0.9964	0.161521
20	-0.171701	-1.33	0.094278
21	-0.095804	-0.7421	0.230463
22	0.079023	0.6121	0.271389
23	-0.038653	-0.2994	0.382834
24	-0.0218	-0.1689	0.433235
25	0.015639	0.1211	0.451992
26	-0.055084	-0.4267	0.335571
27	0.041258	0.3196	0.375198
28	-0.087127	-0.6749	0.251171
29	0.033371	0.2585	0.398455
30	0.011455	0.0887	0.464795
31	-0.082985	-0.6428	0.261402
32	-0.15985	-1.2382	0.110233
33	-0.034899	-0.2703	0.39392
34	-0.035739	-0.2768	0.39143
35	-0.15239	-1.1804	0.121249
36	-0.001791	-0.0139	0.494487

Charts produced by software:

http://www.freestatistics.org/blog/date/2009/Dec/16/t1260983851qwexupa5p2465o9/1c3kp1260983809.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/16/t1260983851qwexupa5p2465o9/1c3kp1260983809.ps (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/16/t1260983851qwexupa5p2465o9/21tuu1260983809.png (open in new window)

http://www.freestatistics.org/blog/date/2009/Dec/16/t1260983851qwexupa5p2465o9/21tuu1260983809.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