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Step 2 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: Sun, 07 Dec 2008 06:15:47 -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/07/t1228655866hiitmkz4cxp286j.htm/, Retrieved Sun, 07 Dec 2008 13:17:48 +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/07/t1228655866hiitmkz4cxp286j.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

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Dataseries X:

» Textbox « » Textfile « » CSV «

235.1 280.7 264.6 240.7 201.4 240.8 241.1 223.8 206.1 174.7 203.3 220.5 299.5 347.4 338.3 327.7 351.6 396.6 438.8 395.6 363.5 378.8 357 369 464.8 479.1 431.3 366.5 326.3 355.1 331.6 261.3 249 205.5 235.6 240.9 264.9 253.8 232.3 193.8 177 213.2 207.2 180.6 188.6 175.4 199 179.6 225.8 234 200.2 183.6 178.2 203.2 208.5 191.8 172.8 148 159.4 154.5 213.2 196.4 182.8 176.4 153.6 173.2 171 151.2 161.9 157.2 201.7 236.4 356.1 398.3 403.7 384.6 365.8 368.1 367.9 347 343.3 292.9 311.5 300.9 366.9 356.9 329.7 316.2 269 289.3 266.2 253.6 233.8 228.4 253.6 260.1 306.6 309.2 309.5 271 279.9 317.9 298.4 246.7 227.3 209.1 259.9 266 320.6 308.5 282.2 262.7 263.5 313.1 284.3 252.6 250.3 246.5 312.7 333.2 446.4 511.6 515.5 506.4 483.2 522.3 509.8 460.7 405.8 375 378.5 406.8 467.8 469.8 429.8 355.8 332.7 378 360.5 334.7 319.5 323.1 363.6 352.1 411.9 388.6 416.4 360.7 338 417.2 388.4 371.1 331.5 353.7 396.7 447 533.5 565.4 542.3 488.7 467.1 531.3 496.1 444 403.4 386.3 394.1 404.1 462.1 448.1 432.3 386.3 395.2 421.9 382.9 384.2 345.5 323.4 372.6 376 462.7 487 444.2 399.3 394.9 455.4 414 375.5 347 339.4 385.8 378.8 451.8 446.1 422.5 383.1 352.8 445.3 367.5 355.1 326.2 319.8 331.8 340.9 394.1 417.2 369.9 349.2 321.4 405.7 342.9 316.5 284.2 270.9 288.8 278.8 324.4 310.9 299 273 279.3 359.2 305 282.1 250.3 246.5 257.9 266.5 315.9 318.4 295.4 266.4 245.8 362.8 324.9 294.2 289.5 295.2 290.3 272 307.4 328.7 292.9 249.1 230.4 361.5 321.7 277.2 260.7 251 257.6 241.8 287.5 292.3 274.7 254.2 230 339 318.2 287 295.8 284 271 262.7 340.6 379.4 373.3 355.2 338.4 466.9 451 422 429.2 425.9 460.7 463.6 541.4 544.2 517.5 469.4 439.4 549 533 506.1 484 457 481.5 469.5 544.7 541.2 521.5 469.7 434.4 542.6 517.3 485.7 465.8 447 426.6 411.6 467.5 484.5 451.2 417.4 379.9 484.7 455 420.8 416.5 376.3 405.6 405.8 500.8 514 475.5 430.1 414.4 538 526 488.5 520.2 504.4 568.5 610.6 818 830.9 835.9 782 762.3 856.9 820.9 769.6 752.2 724.4 723.1 719.5 817.4 803.3 752.5 689 630.4 765.5 757.7 732.2 702.6 683.3 709.5 702.2 784.8 810.9 755.6 656.8 615.1 745.3 694.1 675.7 643.7 622.1 634.6 588 689.7 673.9 647.9 568.8 545.7 632.6 643.8 593.1 579.7 546 562.9 572.5

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	'George Udny Yule' @ 72.249.76.132

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
1	0.958297	18.483	0
2	0.915218	17.6521	0
3	0.883412	17.0386	0
4	0.870088	16.7816	0
5	0.861735	16.6205	0
6	0.832367	16.0541	0
7	0.812153	15.6642	0
8	0.775095	14.9495	0
9	0.745592	14.3805	0
10	0.734652	14.1695	0
11	0.739154	14.2563	0
12	0.743705	14.3441	0
13	0.693188	13.3697	0
14	0.64416	12.4241	0
15	0.611393	11.7921	0
16	0.599793	11.5684	0
17	0.597409	11.5224	0
18	0.577954	11.1472	0
19	0.568953	10.9736	0
20	0.543776	10.488	0
21	0.526232	10.1496	0
22	0.525701	10.1394	0
23	0.537712	10.371	0
24	0.551354	10.6341	0
25	0.512849	9.8915	0
26	0.475036	9.1622	0
27	0.45148	8.7078	0
28	0.446579	8.6133	0
29	0.44812	8.643	0
30	0.431867	8.3295	0
31	0.424902	8.1952	0
32	0.402821	7.7693	0
33	0.388339	7.49	0
34	0.388887	7.5006	0
35	0.40124	7.7388	0
36	0.415564	8.0151	0
37	0.379225	7.3142	0
38	0.34412	6.6371	0
39	0.320411	6.1799	0
40	0.313932	6.0549	0
41	0.313972	6.0557	0
42	0.298662	5.7604	0
43	0.291715	5.6264	0
44	0.271229	5.2313	0
45	0.258557	4.9869	0
46	0.2619	5.0513	0
47	0.277616	5.3545	0
48	0.293784	5.6663	0
49	0.263723	5.0865	0
50	0.233514	4.5039	4e-06
51	0.214215	4.1316	2.2e-05
52	0.20971	4.0447	3.2e-05
53	0.211375	4.0768	2.8e-05
54	0.196892	3.7975	8.5e-05
55	0.19039	3.6721	0.000138
56	0.168363	3.2473	0.000635
57	0.152388	2.9392	0.001748
58	0.150017	2.8934	0.002018
59	0.157802	3.0436	0.001252
60	0.165363	3.1894	0.000773

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	0.958297	18.483	0
2	-0.038138	-0.7356	0.231227
3	0.116008	2.2375	0.012923
4	0.207345	3.9991	3.8e-05
5	0.071295	1.3751	0.084967
6	-0.216629	-4.1782	1.8e-05
7	0.177843	3.4301	0.000336
8	-0.280159	-5.4035	0
9	0.051585	0.9949	0.160206
10	0.221443	4.271	1.2e-05
11	0.189049	3.6462	0.000152
12	-0.045031	-0.8685	0.192833
13	-0.550158	-10.6111	0
14	0.048685	0.939	0.17417
15	0.139152	2.6839	0.003802
16	0.058966	1.1373	0.128074
17	0.145015	2.797	0.002713
18	0.056415	1.0881	0.13863
19	0.089168	1.7198	0.04315
20	-0.085304	-1.6453	0.050378
21	0.010706	0.2065	0.418258
22	0.020453	0.3945	0.346725
23	-0.016396	-0.3162	0.376
24	0.056489	1.0895	0.138315
25	-0.235006	-4.5326	4e-06
26	0.00889	0.1715	0.431974
27	0.049098	0.947	0.172137
28	-0.018295	-0.3529	0.362198
29	-0.002463	-0.0475	0.481071
30	0.029494	0.5689	0.284897
31	0.050221	0.9686	0.16668
32	-0.006361	-0.1227	0.45121
33	0.043929	0.8473	0.198693
34	0.01692	0.3263	0.372172
35	-0.002393	-0.0462	0.481607
36	0.020121	0.3881	0.349091
37	-0.189406	-3.6531	0.000148
38	0.012351	0.2382	0.405923
39	-0.038849	-0.7493	0.227076
40	-0.033337	-0.643	0.260319
41	0.032614	0.629	0.264854
42	0.092839	1.7906	0.037084
43	-0.013284	-0.2562	0.398966
44	0.023528	0.4538	0.325119
45	0.033599	0.648	0.25868
46	0.040374	0.7787	0.218321
47	0.011645	0.2246	0.411208
48	-0.024423	-0.4711	0.31894
49	-0.06699	-1.2921	0.098569
50	-0.031084	-0.5995	0.274592
51	-0.023084	-0.4452	0.328206
52	-0.061509	-1.1863	0.118122
53	-0.001646	-0.0318	0.487343
54	-0.002282	-0.044	0.482462
55	0.001113	0.0215	0.491441
56	-0.039442	-0.7607	0.223649
57	-0.0128	-0.2469	0.402567
58	-0.013281	-0.2562	0.398983
59	-0.018742	-0.3615	0.358969
60	-0.027922	-0.5385	0.29526

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/07/t1228655866hiitmkz4cxp286j/1ci2f1228655745.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/07/t1228655866hiitmkz4cxp286j/1ci2f1228655745.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/07/t1228655866hiitmkz4cxp286j/2ntiq1228655745.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2008/Dec/07/t1228655866hiitmkz4cxp286j/2ntiq1228655745.ps (open in new window)

Parameters (Session):

par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;

Parameters (R input):

par1 = 60 ; 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')

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

Software written by Ed van Stee & Patrick Wessa

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