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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationSun, 26 Dec 2010 10:36:08 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/26/t1293359627da6wx3yrv4lpp0d.htm/, Retrieved Mon, 06 May 2024 21:01:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=115501, Retrieved Mon, 06 May 2024 21:01:44 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact150
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [tijdreeks bevolki...] [2010-12-26 10:36:08] [531024149246456e4f6d79ace2e85c12] [Current]
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Dataseries X:
5140
4749
3635
4305
5805
4260
3869
7325
9280
6222
3272
7598
1345
1900
1480
1472
3823
4454
3357
5393
8329
4152
4042
7747
1451
911
-406
1387
2150
1577
2642
4273
8064
3243
1112
2280
505
744
-1369
-531
1041
2076
577
5080
6584
3761
294
5020
1141
3805
2127
2531
3682
3263
2798
5936
10568
5296
1870
4390
3707
5201
3748
5282
5349
6249
5517
8640
15767
8850
5582
6496
3255
6189
6452
5099
6833
7046
7739
10142
16054
7721
6182
6490
3704
6235
4655
5072
3640
5147
5703
11889
15603
9589




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115501&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115501&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115501&T=0

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135







Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.502778-4.5251e-05
20.1945751.75120.041851
3-0.238493-2.14640.017415
40.1533951.38060.085607
5-0.056918-0.51230.304931
60.0549540.49460.311115
7-0.013535-0.12180.451674
8-0.119972-1.07980.141729
90.1929831.73680.043108
10-0.156812-1.41130.080992
110.2116161.90450.030195
12-0.400193-3.60170.000272
130.2766292.48970.007417
14-0.029975-0.26980.394009
15-0.019003-0.1710.432313
16-0.037766-0.33990.367407
170.0515680.46410.321907
18-0.052282-0.47050.319618
190.0316210.28460.388343
200.0942390.84810.199427
21-0.159511-1.43560.077484
22-0.035519-0.31970.375019
230.0336810.30310.381285
240.0654640.58920.278691
25-0.043913-0.39520.346861
26-0.059583-0.53620.296628
270.1337611.20390.116077
28-0.103918-0.93530.176217
290.1016110.91450.181584
30-0.080023-0.72020.236736
310.1178281.06040.146046
32-0.179962-1.61970.054596
330.2049471.84450.034381
34-0.149679-1.34710.09085
350.0588740.52990.298828
36-0.095438-0.85890.196453
370.0774480.6970.24389
380.0603990.54360.294107
39-0.141131-1.27020.103828
400.0530280.47730.317234
41-0.048096-0.43290.333133
420.0578760.52090.301934
43-0.078676-0.70810.240462
440.1469781.32280.094812
45-0.232198-2.08980.019887
460.2748012.47320.007741
47-0.110788-0.99710.160844
480.0771140.6940.244826

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.502778 & -4.525 & 1e-05 \tabularnewline
2 & 0.194575 & 1.7512 & 0.041851 \tabularnewline
3 & -0.238493 & -2.1464 & 0.017415 \tabularnewline
4 & 0.153395 & 1.3806 & 0.085607 \tabularnewline
5 & -0.056918 & -0.5123 & 0.304931 \tabularnewline
6 & 0.054954 & 0.4946 & 0.311115 \tabularnewline
7 & -0.013535 & -0.1218 & 0.451674 \tabularnewline
8 & -0.119972 & -1.0798 & 0.141729 \tabularnewline
9 & 0.192983 & 1.7368 & 0.043108 \tabularnewline
10 & -0.156812 & -1.4113 & 0.080992 \tabularnewline
11 & 0.211616 & 1.9045 & 0.030195 \tabularnewline
12 & -0.400193 & -3.6017 & 0.000272 \tabularnewline
13 & 0.276629 & 2.4897 & 0.007417 \tabularnewline
14 & -0.029975 & -0.2698 & 0.394009 \tabularnewline
15 & -0.019003 & -0.171 & 0.432313 \tabularnewline
16 & -0.037766 & -0.3399 & 0.367407 \tabularnewline
17 & 0.051568 & 0.4641 & 0.321907 \tabularnewline
18 & -0.052282 & -0.4705 & 0.319618 \tabularnewline
19 & 0.031621 & 0.2846 & 0.388343 \tabularnewline
20 & 0.094239 & 0.8481 & 0.199427 \tabularnewline
21 & -0.159511 & -1.4356 & 0.077484 \tabularnewline
22 & -0.035519 & -0.3197 & 0.375019 \tabularnewline
23 & 0.033681 & 0.3031 & 0.381285 \tabularnewline
24 & 0.065464 & 0.5892 & 0.278691 \tabularnewline
25 & -0.043913 & -0.3952 & 0.346861 \tabularnewline
26 & -0.059583 & -0.5362 & 0.296628 \tabularnewline
27 & 0.133761 & 1.2039 & 0.116077 \tabularnewline
28 & -0.103918 & -0.9353 & 0.176217 \tabularnewline
29 & 0.101611 & 0.9145 & 0.181584 \tabularnewline
30 & -0.080023 & -0.7202 & 0.236736 \tabularnewline
31 & 0.117828 & 1.0604 & 0.146046 \tabularnewline
32 & -0.179962 & -1.6197 & 0.054596 \tabularnewline
33 & 0.204947 & 1.8445 & 0.034381 \tabularnewline
34 & -0.149679 & -1.3471 & 0.09085 \tabularnewline
35 & 0.058874 & 0.5299 & 0.298828 \tabularnewline
36 & -0.095438 & -0.8589 & 0.196453 \tabularnewline
37 & 0.077448 & 0.697 & 0.24389 \tabularnewline
38 & 0.060399 & 0.5436 & 0.294107 \tabularnewline
39 & -0.141131 & -1.2702 & 0.103828 \tabularnewline
40 & 0.053028 & 0.4773 & 0.317234 \tabularnewline
41 & -0.048096 & -0.4329 & 0.333133 \tabularnewline
42 & 0.057876 & 0.5209 & 0.301934 \tabularnewline
43 & -0.078676 & -0.7081 & 0.240462 \tabularnewline
44 & 0.146978 & 1.3228 & 0.094812 \tabularnewline
45 & -0.232198 & -2.0898 & 0.019887 \tabularnewline
46 & 0.274801 & 2.4732 & 0.007741 \tabularnewline
47 & -0.110788 & -0.9971 & 0.160844 \tabularnewline
48 & 0.077114 & 0.694 & 0.244826 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115501&T=1

[TABLE]
[ROW][C]Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]ACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]-0.502778[/C][C]-4.525[/C][C]1e-05[/C][/ROW]
[ROW][C]2[/C][C]0.194575[/C][C]1.7512[/C][C]0.041851[/C][/ROW]
[ROW][C]3[/C][C]-0.238493[/C][C]-2.1464[/C][C]0.017415[/C][/ROW]
[ROW][C]4[/C][C]0.153395[/C][C]1.3806[/C][C]0.085607[/C][/ROW]
[ROW][C]5[/C][C]-0.056918[/C][C]-0.5123[/C][C]0.304931[/C][/ROW]
[ROW][C]6[/C][C]0.054954[/C][C]0.4946[/C][C]0.311115[/C][/ROW]
[ROW][C]7[/C][C]-0.013535[/C][C]-0.1218[/C][C]0.451674[/C][/ROW]
[ROW][C]8[/C][C]-0.119972[/C][C]-1.0798[/C][C]0.141729[/C][/ROW]
[ROW][C]9[/C][C]0.192983[/C][C]1.7368[/C][C]0.043108[/C][/ROW]
[ROW][C]10[/C][C]-0.156812[/C][C]-1.4113[/C][C]0.080992[/C][/ROW]
[ROW][C]11[/C][C]0.211616[/C][C]1.9045[/C][C]0.030195[/C][/ROW]
[ROW][C]12[/C][C]-0.400193[/C][C]-3.6017[/C][C]0.000272[/C][/ROW]
[ROW][C]13[/C][C]0.276629[/C][C]2.4897[/C][C]0.007417[/C][/ROW]
[ROW][C]14[/C][C]-0.029975[/C][C]-0.2698[/C][C]0.394009[/C][/ROW]
[ROW][C]15[/C][C]-0.019003[/C][C]-0.171[/C][C]0.432313[/C][/ROW]
[ROW][C]16[/C][C]-0.037766[/C][C]-0.3399[/C][C]0.367407[/C][/ROW]
[ROW][C]17[/C][C]0.051568[/C][C]0.4641[/C][C]0.321907[/C][/ROW]
[ROW][C]18[/C][C]-0.052282[/C][C]-0.4705[/C][C]0.319618[/C][/ROW]
[ROW][C]19[/C][C]0.031621[/C][C]0.2846[/C][C]0.388343[/C][/ROW]
[ROW][C]20[/C][C]0.094239[/C][C]0.8481[/C][C]0.199427[/C][/ROW]
[ROW][C]21[/C][C]-0.159511[/C][C]-1.4356[/C][C]0.077484[/C][/ROW]
[ROW][C]22[/C][C]-0.035519[/C][C]-0.3197[/C][C]0.375019[/C][/ROW]
[ROW][C]23[/C][C]0.033681[/C][C]0.3031[/C][C]0.381285[/C][/ROW]
[ROW][C]24[/C][C]0.065464[/C][C]0.5892[/C][C]0.278691[/C][/ROW]
[ROW][C]25[/C][C]-0.043913[/C][C]-0.3952[/C][C]0.346861[/C][/ROW]
[ROW][C]26[/C][C]-0.059583[/C][C]-0.5362[/C][C]0.296628[/C][/ROW]
[ROW][C]27[/C][C]0.133761[/C][C]1.2039[/C][C]0.116077[/C][/ROW]
[ROW][C]28[/C][C]-0.103918[/C][C]-0.9353[/C][C]0.176217[/C][/ROW]
[ROW][C]29[/C][C]0.101611[/C][C]0.9145[/C][C]0.181584[/C][/ROW]
[ROW][C]30[/C][C]-0.080023[/C][C]-0.7202[/C][C]0.236736[/C][/ROW]
[ROW][C]31[/C][C]0.117828[/C][C]1.0604[/C][C]0.146046[/C][/ROW]
[ROW][C]32[/C][C]-0.179962[/C][C]-1.6197[/C][C]0.054596[/C][/ROW]
[ROW][C]33[/C][C]0.204947[/C][C]1.8445[/C][C]0.034381[/C][/ROW]
[ROW][C]34[/C][C]-0.149679[/C][C]-1.3471[/C][C]0.09085[/C][/ROW]
[ROW][C]35[/C][C]0.058874[/C][C]0.5299[/C][C]0.298828[/C][/ROW]
[ROW][C]36[/C][C]-0.095438[/C][C]-0.8589[/C][C]0.196453[/C][/ROW]
[ROW][C]37[/C][C]0.077448[/C][C]0.697[/C][C]0.24389[/C][/ROW]
[ROW][C]38[/C][C]0.060399[/C][C]0.5436[/C][C]0.294107[/C][/ROW]
[ROW][C]39[/C][C]-0.141131[/C][C]-1.2702[/C][C]0.103828[/C][/ROW]
[ROW][C]40[/C][C]0.053028[/C][C]0.4773[/C][C]0.317234[/C][/ROW]
[ROW][C]41[/C][C]-0.048096[/C][C]-0.4329[/C][C]0.333133[/C][/ROW]
[ROW][C]42[/C][C]0.057876[/C][C]0.5209[/C][C]0.301934[/C][/ROW]
[ROW][C]43[/C][C]-0.078676[/C][C]-0.7081[/C][C]0.240462[/C][/ROW]
[ROW][C]44[/C][C]0.146978[/C][C]1.3228[/C][C]0.094812[/C][/ROW]
[ROW][C]45[/C][C]-0.232198[/C][C]-2.0898[/C][C]0.019887[/C][/ROW]
[ROW][C]46[/C][C]0.274801[/C][C]2.4732[/C][C]0.007741[/C][/ROW]
[ROW][C]47[/C][C]-0.110788[/C][C]-0.9971[/C][C]0.160844[/C][/ROW]
[ROW][C]48[/C][C]0.077114[/C][C]0.694[/C][C]0.244826[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115501&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115501&T=1

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.502778-4.5251e-05
20.1945751.75120.041851
3-0.238493-2.14640.017415
40.1533951.38060.085607
5-0.056918-0.51230.304931
60.0549540.49460.311115
7-0.013535-0.12180.451674
8-0.119972-1.07980.141729
90.1929831.73680.043108
10-0.156812-1.41130.080992
110.2116161.90450.030195
12-0.400193-3.60170.000272
130.2766292.48970.007417
14-0.029975-0.26980.394009
15-0.019003-0.1710.432313
16-0.037766-0.33990.367407
170.0515680.46410.321907
18-0.052282-0.47050.319618
190.0316210.28460.388343
200.0942390.84810.199427
21-0.159511-1.43560.077484
22-0.035519-0.31970.375019
230.0336810.30310.381285
240.0654640.58920.278691
25-0.043913-0.39520.346861
26-0.059583-0.53620.296628
270.1337611.20390.116077
28-0.103918-0.93530.176217
290.1016110.91450.181584
30-0.080023-0.72020.236736
310.1178281.06040.146046
32-0.179962-1.61970.054596
330.2049471.84450.034381
34-0.149679-1.34710.09085
350.0588740.52990.298828
36-0.095438-0.85890.196453
370.0774480.6970.24389
380.0603990.54360.294107
39-0.141131-1.27020.103828
400.0530280.47730.317234
41-0.048096-0.43290.333133
420.0578760.52090.301934
43-0.078676-0.70810.240462
440.1469781.32280.094812
45-0.232198-2.08980.019887
460.2748012.47320.007741
47-0.110788-0.99710.160844
480.0771140.6940.244826







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.502778-4.5251e-05
2-0.077905-0.70110.242612
3-0.23188-2.08690.02002
4-0.081308-0.73180.233211
5-0.010777-0.0970.461487
60.0015330.01380.494514
70.0435250.39170.348147
8-0.148029-1.33230.093256
90.1028660.92580.178651
10-0.022149-0.19930.421246
110.1303721.17330.122048
12-0.282704-2.54430.006424
13-0.09387-0.84480.200346
140.1638821.47490.072053
15-0.120897-1.08810.139896
16-0.062439-0.56190.287851
170.0801280.72120.236446
18-0.045231-0.40710.342512
19-0.00238-0.02140.491482
200.0726130.65350.257637
210.0037640.03390.486528
22-0.256408-2.30770.011785
23-0.058964-0.53070.298547
24-0.051744-0.46570.321342
25-0.062111-0.5590.288852
26-0.063504-0.57150.284609
270.0802150.72190.236206
28-0.01783-0.16050.436454
290.0845090.76060.224557
30-0.011407-0.10270.459241
310.1499331.34940.090485
32-0.025743-0.23170.408684
330.0194030.17460.430904
34-0.166755-1.50080.068649
350.0171810.15460.43875
36-0.121071-1.08960.139553
37-0.123105-1.10790.135583
380.1199361.07940.141802
39-0.002483-0.02230.491114
40-0.212045-1.90840.029941
410.0944540.85010.198891
42-0.002527-0.02270.490955
43-0.120868-1.08780.139951
44-0.075417-0.67870.249616
45-0.08458-0.76120.224368
460.0971220.87410.192325
470.0594610.53510.297007
480.0443610.39920.345382

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.502778 & -4.525 & 1e-05 \tabularnewline
2 & -0.077905 & -0.7011 & 0.242612 \tabularnewline
3 & -0.23188 & -2.0869 & 0.02002 \tabularnewline
4 & -0.081308 & -0.7318 & 0.233211 \tabularnewline
5 & -0.010777 & -0.097 & 0.461487 \tabularnewline
6 & 0.001533 & 0.0138 & 0.494514 \tabularnewline
7 & 0.043525 & 0.3917 & 0.348147 \tabularnewline
8 & -0.148029 & -1.3323 & 0.093256 \tabularnewline
9 & 0.102866 & 0.9258 & 0.178651 \tabularnewline
10 & -0.022149 & -0.1993 & 0.421246 \tabularnewline
11 & 0.130372 & 1.1733 & 0.122048 \tabularnewline
12 & -0.282704 & -2.5443 & 0.006424 \tabularnewline
13 & -0.09387 & -0.8448 & 0.200346 \tabularnewline
14 & 0.163882 & 1.4749 & 0.072053 \tabularnewline
15 & -0.120897 & -1.0881 & 0.139896 \tabularnewline
16 & -0.062439 & -0.5619 & 0.287851 \tabularnewline
17 & 0.080128 & 0.7212 & 0.236446 \tabularnewline
18 & -0.045231 & -0.4071 & 0.342512 \tabularnewline
19 & -0.00238 & -0.0214 & 0.491482 \tabularnewline
20 & 0.072613 & 0.6535 & 0.257637 \tabularnewline
21 & 0.003764 & 0.0339 & 0.486528 \tabularnewline
22 & -0.256408 & -2.3077 & 0.011785 \tabularnewline
23 & -0.058964 & -0.5307 & 0.298547 \tabularnewline
24 & -0.051744 & -0.4657 & 0.321342 \tabularnewline
25 & -0.062111 & -0.559 & 0.288852 \tabularnewline
26 & -0.063504 & -0.5715 & 0.284609 \tabularnewline
27 & 0.080215 & 0.7219 & 0.236206 \tabularnewline
28 & -0.01783 & -0.1605 & 0.436454 \tabularnewline
29 & 0.084509 & 0.7606 & 0.224557 \tabularnewline
30 & -0.011407 & -0.1027 & 0.459241 \tabularnewline
31 & 0.149933 & 1.3494 & 0.090485 \tabularnewline
32 & -0.025743 & -0.2317 & 0.408684 \tabularnewline
33 & 0.019403 & 0.1746 & 0.430904 \tabularnewline
34 & -0.166755 & -1.5008 & 0.068649 \tabularnewline
35 & 0.017181 & 0.1546 & 0.43875 \tabularnewline
36 & -0.121071 & -1.0896 & 0.139553 \tabularnewline
37 & -0.123105 & -1.1079 & 0.135583 \tabularnewline
38 & 0.119936 & 1.0794 & 0.141802 \tabularnewline
39 & -0.002483 & -0.0223 & 0.491114 \tabularnewline
40 & -0.212045 & -1.9084 & 0.029941 \tabularnewline
41 & 0.094454 & 0.8501 & 0.198891 \tabularnewline
42 & -0.002527 & -0.0227 & 0.490955 \tabularnewline
43 & -0.120868 & -1.0878 & 0.139951 \tabularnewline
44 & -0.075417 & -0.6787 & 0.249616 \tabularnewline
45 & -0.08458 & -0.7612 & 0.224368 \tabularnewline
46 & 0.097122 & 0.8741 & 0.192325 \tabularnewline
47 & 0.059461 & 0.5351 & 0.297007 \tabularnewline
48 & 0.044361 & 0.3992 & 0.345382 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=115501&T=2

[TABLE]
[ROW][C]Partial Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]PACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]-0.502778[/C][C]-4.525[/C][C]1e-05[/C][/ROW]
[ROW][C]2[/C][C]-0.077905[/C][C]-0.7011[/C][C]0.242612[/C][/ROW]
[ROW][C]3[/C][C]-0.23188[/C][C]-2.0869[/C][C]0.02002[/C][/ROW]
[ROW][C]4[/C][C]-0.081308[/C][C]-0.7318[/C][C]0.233211[/C][/ROW]
[ROW][C]5[/C][C]-0.010777[/C][C]-0.097[/C][C]0.461487[/C][/ROW]
[ROW][C]6[/C][C]0.001533[/C][C]0.0138[/C][C]0.494514[/C][/ROW]
[ROW][C]7[/C][C]0.043525[/C][C]0.3917[/C][C]0.348147[/C][/ROW]
[ROW][C]8[/C][C]-0.148029[/C][C]-1.3323[/C][C]0.093256[/C][/ROW]
[ROW][C]9[/C][C]0.102866[/C][C]0.9258[/C][C]0.178651[/C][/ROW]
[ROW][C]10[/C][C]-0.022149[/C][C]-0.1993[/C][C]0.421246[/C][/ROW]
[ROW][C]11[/C][C]0.130372[/C][C]1.1733[/C][C]0.122048[/C][/ROW]
[ROW][C]12[/C][C]-0.282704[/C][C]-2.5443[/C][C]0.006424[/C][/ROW]
[ROW][C]13[/C][C]-0.09387[/C][C]-0.8448[/C][C]0.200346[/C][/ROW]
[ROW][C]14[/C][C]0.163882[/C][C]1.4749[/C][C]0.072053[/C][/ROW]
[ROW][C]15[/C][C]-0.120897[/C][C]-1.0881[/C][C]0.139896[/C][/ROW]
[ROW][C]16[/C][C]-0.062439[/C][C]-0.5619[/C][C]0.287851[/C][/ROW]
[ROW][C]17[/C][C]0.080128[/C][C]0.7212[/C][C]0.236446[/C][/ROW]
[ROW][C]18[/C][C]-0.045231[/C][C]-0.4071[/C][C]0.342512[/C][/ROW]
[ROW][C]19[/C][C]-0.00238[/C][C]-0.0214[/C][C]0.491482[/C][/ROW]
[ROW][C]20[/C][C]0.072613[/C][C]0.6535[/C][C]0.257637[/C][/ROW]
[ROW][C]21[/C][C]0.003764[/C][C]0.0339[/C][C]0.486528[/C][/ROW]
[ROW][C]22[/C][C]-0.256408[/C][C]-2.3077[/C][C]0.011785[/C][/ROW]
[ROW][C]23[/C][C]-0.058964[/C][C]-0.5307[/C][C]0.298547[/C][/ROW]
[ROW][C]24[/C][C]-0.051744[/C][C]-0.4657[/C][C]0.321342[/C][/ROW]
[ROW][C]25[/C][C]-0.062111[/C][C]-0.559[/C][C]0.288852[/C][/ROW]
[ROW][C]26[/C][C]-0.063504[/C][C]-0.5715[/C][C]0.284609[/C][/ROW]
[ROW][C]27[/C][C]0.080215[/C][C]0.7219[/C][C]0.236206[/C][/ROW]
[ROW][C]28[/C][C]-0.01783[/C][C]-0.1605[/C][C]0.436454[/C][/ROW]
[ROW][C]29[/C][C]0.084509[/C][C]0.7606[/C][C]0.224557[/C][/ROW]
[ROW][C]30[/C][C]-0.011407[/C][C]-0.1027[/C][C]0.459241[/C][/ROW]
[ROW][C]31[/C][C]0.149933[/C][C]1.3494[/C][C]0.090485[/C][/ROW]
[ROW][C]32[/C][C]-0.025743[/C][C]-0.2317[/C][C]0.408684[/C][/ROW]
[ROW][C]33[/C][C]0.019403[/C][C]0.1746[/C][C]0.430904[/C][/ROW]
[ROW][C]34[/C][C]-0.166755[/C][C]-1.5008[/C][C]0.068649[/C][/ROW]
[ROW][C]35[/C][C]0.017181[/C][C]0.1546[/C][C]0.43875[/C][/ROW]
[ROW][C]36[/C][C]-0.121071[/C][C]-1.0896[/C][C]0.139553[/C][/ROW]
[ROW][C]37[/C][C]-0.123105[/C][C]-1.1079[/C][C]0.135583[/C][/ROW]
[ROW][C]38[/C][C]0.119936[/C][C]1.0794[/C][C]0.141802[/C][/ROW]
[ROW][C]39[/C][C]-0.002483[/C][C]-0.0223[/C][C]0.491114[/C][/ROW]
[ROW][C]40[/C][C]-0.212045[/C][C]-1.9084[/C][C]0.029941[/C][/ROW]
[ROW][C]41[/C][C]0.094454[/C][C]0.8501[/C][C]0.198891[/C][/ROW]
[ROW][C]42[/C][C]-0.002527[/C][C]-0.0227[/C][C]0.490955[/C][/ROW]
[ROW][C]43[/C][C]-0.120868[/C][C]-1.0878[/C][C]0.139951[/C][/ROW]
[ROW][C]44[/C][C]-0.075417[/C][C]-0.6787[/C][C]0.249616[/C][/ROW]
[ROW][C]45[/C][C]-0.08458[/C][C]-0.7612[/C][C]0.224368[/C][/ROW]
[ROW][C]46[/C][C]0.097122[/C][C]0.8741[/C][C]0.192325[/C][/ROW]
[ROW][C]47[/C][C]0.059461[/C][C]0.5351[/C][C]0.297007[/C][/ROW]
[ROW][C]48[/C][C]0.044361[/C][C]0.3992[/C][C]0.345382[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=115501&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=115501&T=2

As an alternative you can also use a QR Code:  

The GUIDs for individual cells are displayed in the table below:

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.502778-4.5251e-05
2-0.077905-0.70110.242612
3-0.23188-2.08690.02002
4-0.081308-0.73180.233211
5-0.010777-0.0970.461487
60.0015330.01380.494514
70.0435250.39170.348147
8-0.148029-1.33230.093256
90.1028660.92580.178651
10-0.022149-0.19930.421246
110.1303721.17330.122048
12-0.282704-2.54430.006424
13-0.09387-0.84480.200346
140.1638821.47490.072053
15-0.120897-1.08810.139896
16-0.062439-0.56190.287851
170.0801280.72120.236446
18-0.045231-0.40710.342512
19-0.00238-0.02140.491482
200.0726130.65350.257637
210.0037640.03390.486528
22-0.256408-2.30770.011785
23-0.058964-0.53070.298547
24-0.051744-0.46570.321342
25-0.062111-0.5590.288852
26-0.063504-0.57150.284609
270.0802150.72190.236206
28-0.01783-0.16050.436454
290.0845090.76060.224557
30-0.011407-0.10270.459241
310.1499331.34940.090485
32-0.025743-0.23170.408684
330.0194030.17460.430904
34-0.166755-1.50080.068649
350.0171810.15460.43875
36-0.121071-1.08960.139553
37-0.123105-1.10790.135583
380.1199361.07940.141802
39-0.002483-0.02230.491114
40-0.212045-1.90840.029941
410.0944540.85010.198891
42-0.002527-0.02270.490955
43-0.120868-1.08780.139951
44-0.075417-0.67870.249616
45-0.08458-0.76120.224368
460.0971220.87410.192325
470.0594610.53510.297007
480.0443610.39920.345382



Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = ;
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 (par8 != '') par8 <- as.numeric(par8)
ox <- x
if (par8 == '') {
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
} else {
x <- log(x,base=par8)
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='picts.png')
op <- par(mfrow=c(2,1))
plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
if (par8=='') {
mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
} else {
mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
}
plot(x,type='l', main=mytitle,xlab='time',ylab='value')
par(op)
dev.off()
bitmap(file='pic1.png')
racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
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('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('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')