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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, 19 Dec 2010 15:27:15 +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/19/t1292772357t284gc8wtwo35uq.htm/, Retrieved Sun, 05 May 2024 04:08:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=112497, Retrieved Sun, 05 May 2024 04:08:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsMicha
Estimated Impact132
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [ACF Unemployment ...] [2010-12-19 15:27:15] [d9583efbde8deefb6905064240c280b9] [Current]
-         [(Partial) Autocorrelation Function] [] [2010-12-27 20:46:03] [b2f924a86c4fbfa8afa1027f3839f526]
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Dataseries X:
493
481
462
457
442
439
488
521
501
485
464
460
467
460
448
443
436
431
484
510
513
503
471
471
476
475
470
461
455
456
517
525
523
519
509
512
519
517
510
509
501
507
569
580
578
565
547
555
562
561
555
544
537
543
594
611
613
611
594
595
591
589
584
573
567
569
621
629
628
612
595
597
593
590
580
574
573
573
620
626
620
588
566
557
561
549
532
526
511
499
555
565
542
527
510
514
517
508
493
490
469
478
528
534
518
506
502
516
528
533
536
537
524
536
587
597
581
564
558
575
580
575
563
552
537
545
601
604
586
564
549




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=112497&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=112497&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112497&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
10.2807573.20110.00086
2-0.236878-2.70080.003919
3-0.336759-3.83969.6e-05
4-0.278954-3.18060.000919
50.0673780.76820.221874
60.2306252.62950.004791
70.0837040.95440.170832
8-0.236097-2.69190.00402
9-0.28868-3.29150.000642
10-0.222441-2.53620.006195
110.2620062.98730.001682
120.8134889.27520
130.1981562.25930.012764
14-0.205678-2.34510.010268
15-0.310527-3.54060.000277
16-0.260502-2.97020.001773
170.0561640.64040.26153
180.1798052.05010.021183
190.0397990.45380.325372
20-0.246409-2.80950.002864
21-0.276909-3.15730.00099
22-0.183175-2.08850.019351
230.2638543.00840.001577
240.6947827.92170
250.1227721.39980.081974
26-0.223577-2.54920.00598
27-0.283217-3.22920.000786
28-0.227942-2.59890.005216
290.0555720.63360.26372
300.1451061.65450.050223
310.018080.20610.418501
32-0.238897-2.72380.00367
33-0.246861-2.81470.002822
34-0.143229-1.63310.052437
350.2522472.87610.002354
360.6227367.10030
370.1071261.22140.112068
38-0.193067-2.20130.01474
39-0.270024-3.07870.001268
40-0.19188-2.18780.015237
410.054860.62550.26637
420.1332461.51920.065565
430.0187020.21320.415738
44-0.219273-2.50010.00683
45-0.213355-2.43260.008175
46-0.099642-1.13610.129003
470.2105712.40090.008886
480.5282616.02310
490.0992211.13130.130008
50-0.166798-1.90180.029706
51-0.231622-2.64090.004641
52-0.152466-1.73840.042255
530.035050.39960.345041
540.1088551.24110.108396
550.0080750.09210.463391
56-0.188005-2.14360.016964
57-0.149104-1.70.045757
58-0.077783-0.88690.188394
590.2030252.31480.011094
600.4646685.2980

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.280757 & 3.2011 & 0.00086 \tabularnewline
2 & -0.236878 & -2.7008 & 0.003919 \tabularnewline
3 & -0.336759 & -3.8396 & 9.6e-05 \tabularnewline
4 & -0.278954 & -3.1806 & 0.000919 \tabularnewline
5 & 0.067378 & 0.7682 & 0.221874 \tabularnewline
6 & 0.230625 & 2.6295 & 0.004791 \tabularnewline
7 & 0.083704 & 0.9544 & 0.170832 \tabularnewline
8 & -0.236097 & -2.6919 & 0.00402 \tabularnewline
9 & -0.28868 & -3.2915 & 0.000642 \tabularnewline
10 & -0.222441 & -2.5362 & 0.006195 \tabularnewline
11 & 0.262006 & 2.9873 & 0.001682 \tabularnewline
12 & 0.813488 & 9.2752 & 0 \tabularnewline
13 & 0.198156 & 2.2593 & 0.012764 \tabularnewline
14 & -0.205678 & -2.3451 & 0.010268 \tabularnewline
15 & -0.310527 & -3.5406 & 0.000277 \tabularnewline
16 & -0.260502 & -2.9702 & 0.001773 \tabularnewline
17 & 0.056164 & 0.6404 & 0.26153 \tabularnewline
18 & 0.179805 & 2.0501 & 0.021183 \tabularnewline
19 & 0.039799 & 0.4538 & 0.325372 \tabularnewline
20 & -0.246409 & -2.8095 & 0.002864 \tabularnewline
21 & -0.276909 & -3.1573 & 0.00099 \tabularnewline
22 & -0.183175 & -2.0885 & 0.019351 \tabularnewline
23 & 0.263854 & 3.0084 & 0.001577 \tabularnewline
24 & 0.694782 & 7.9217 & 0 \tabularnewline
25 & 0.122772 & 1.3998 & 0.081974 \tabularnewline
26 & -0.223577 & -2.5492 & 0.00598 \tabularnewline
27 & -0.283217 & -3.2292 & 0.000786 \tabularnewline
28 & -0.227942 & -2.5989 & 0.005216 \tabularnewline
29 & 0.055572 & 0.6336 & 0.26372 \tabularnewline
30 & 0.145106 & 1.6545 & 0.050223 \tabularnewline
31 & 0.01808 & 0.2061 & 0.418501 \tabularnewline
32 & -0.238897 & -2.7238 & 0.00367 \tabularnewline
33 & -0.246861 & -2.8147 & 0.002822 \tabularnewline
34 & -0.143229 & -1.6331 & 0.052437 \tabularnewline
35 & 0.252247 & 2.8761 & 0.002354 \tabularnewline
36 & 0.622736 & 7.1003 & 0 \tabularnewline
37 & 0.107126 & 1.2214 & 0.112068 \tabularnewline
38 & -0.193067 & -2.2013 & 0.01474 \tabularnewline
39 & -0.270024 & -3.0787 & 0.001268 \tabularnewline
40 & -0.19188 & -2.1878 & 0.015237 \tabularnewline
41 & 0.05486 & 0.6255 & 0.26637 \tabularnewline
42 & 0.133246 & 1.5192 & 0.065565 \tabularnewline
43 & 0.018702 & 0.2132 & 0.415738 \tabularnewline
44 & -0.219273 & -2.5001 & 0.00683 \tabularnewline
45 & -0.213355 & -2.4326 & 0.008175 \tabularnewline
46 & -0.099642 & -1.1361 & 0.129003 \tabularnewline
47 & 0.210571 & 2.4009 & 0.008886 \tabularnewline
48 & 0.528261 & 6.0231 & 0 \tabularnewline
49 & 0.099221 & 1.1313 & 0.130008 \tabularnewline
50 & -0.166798 & -1.9018 & 0.029706 \tabularnewline
51 & -0.231622 & -2.6409 & 0.004641 \tabularnewline
52 & -0.152466 & -1.7384 & 0.042255 \tabularnewline
53 & 0.03505 & 0.3996 & 0.345041 \tabularnewline
54 & 0.108855 & 1.2411 & 0.108396 \tabularnewline
55 & 0.008075 & 0.0921 & 0.463391 \tabularnewline
56 & -0.188005 & -2.1436 & 0.016964 \tabularnewline
57 & -0.149104 & -1.7 & 0.045757 \tabularnewline
58 & -0.077783 & -0.8869 & 0.188394 \tabularnewline
59 & 0.203025 & 2.3148 & 0.011094 \tabularnewline
60 & 0.464668 & 5.298 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112497&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]0.280757[/C][C]3.2011[/C][C]0.00086[/C][/ROW]
[ROW][C]2[/C][C]-0.236878[/C][C]-2.7008[/C][C]0.003919[/C][/ROW]
[ROW][C]3[/C][C]-0.336759[/C][C]-3.8396[/C][C]9.6e-05[/C][/ROW]
[ROW][C]4[/C][C]-0.278954[/C][C]-3.1806[/C][C]0.000919[/C][/ROW]
[ROW][C]5[/C][C]0.067378[/C][C]0.7682[/C][C]0.221874[/C][/ROW]
[ROW][C]6[/C][C]0.230625[/C][C]2.6295[/C][C]0.004791[/C][/ROW]
[ROW][C]7[/C][C]0.083704[/C][C]0.9544[/C][C]0.170832[/C][/ROW]
[ROW][C]8[/C][C]-0.236097[/C][C]-2.6919[/C][C]0.00402[/C][/ROW]
[ROW][C]9[/C][C]-0.28868[/C][C]-3.2915[/C][C]0.000642[/C][/ROW]
[ROW][C]10[/C][C]-0.222441[/C][C]-2.5362[/C][C]0.006195[/C][/ROW]
[ROW][C]11[/C][C]0.262006[/C][C]2.9873[/C][C]0.001682[/C][/ROW]
[ROW][C]12[/C][C]0.813488[/C][C]9.2752[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.198156[/C][C]2.2593[/C][C]0.012764[/C][/ROW]
[ROW][C]14[/C][C]-0.205678[/C][C]-2.3451[/C][C]0.010268[/C][/ROW]
[ROW][C]15[/C][C]-0.310527[/C][C]-3.5406[/C][C]0.000277[/C][/ROW]
[ROW][C]16[/C][C]-0.260502[/C][C]-2.9702[/C][C]0.001773[/C][/ROW]
[ROW][C]17[/C][C]0.056164[/C][C]0.6404[/C][C]0.26153[/C][/ROW]
[ROW][C]18[/C][C]0.179805[/C][C]2.0501[/C][C]0.021183[/C][/ROW]
[ROW][C]19[/C][C]0.039799[/C][C]0.4538[/C][C]0.325372[/C][/ROW]
[ROW][C]20[/C][C]-0.246409[/C][C]-2.8095[/C][C]0.002864[/C][/ROW]
[ROW][C]21[/C][C]-0.276909[/C][C]-3.1573[/C][C]0.00099[/C][/ROW]
[ROW][C]22[/C][C]-0.183175[/C][C]-2.0885[/C][C]0.019351[/C][/ROW]
[ROW][C]23[/C][C]0.263854[/C][C]3.0084[/C][C]0.001577[/C][/ROW]
[ROW][C]24[/C][C]0.694782[/C][C]7.9217[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]0.122772[/C][C]1.3998[/C][C]0.081974[/C][/ROW]
[ROW][C]26[/C][C]-0.223577[/C][C]-2.5492[/C][C]0.00598[/C][/ROW]
[ROW][C]27[/C][C]-0.283217[/C][C]-3.2292[/C][C]0.000786[/C][/ROW]
[ROW][C]28[/C][C]-0.227942[/C][C]-2.5989[/C][C]0.005216[/C][/ROW]
[ROW][C]29[/C][C]0.055572[/C][C]0.6336[/C][C]0.26372[/C][/ROW]
[ROW][C]30[/C][C]0.145106[/C][C]1.6545[/C][C]0.050223[/C][/ROW]
[ROW][C]31[/C][C]0.01808[/C][C]0.2061[/C][C]0.418501[/C][/ROW]
[ROW][C]32[/C][C]-0.238897[/C][C]-2.7238[/C][C]0.00367[/C][/ROW]
[ROW][C]33[/C][C]-0.246861[/C][C]-2.8147[/C][C]0.002822[/C][/ROW]
[ROW][C]34[/C][C]-0.143229[/C][C]-1.6331[/C][C]0.052437[/C][/ROW]
[ROW][C]35[/C][C]0.252247[/C][C]2.8761[/C][C]0.002354[/C][/ROW]
[ROW][C]36[/C][C]0.622736[/C][C]7.1003[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]0.107126[/C][C]1.2214[/C][C]0.112068[/C][/ROW]
[ROW][C]38[/C][C]-0.193067[/C][C]-2.2013[/C][C]0.01474[/C][/ROW]
[ROW][C]39[/C][C]-0.270024[/C][C]-3.0787[/C][C]0.001268[/C][/ROW]
[ROW][C]40[/C][C]-0.19188[/C][C]-2.1878[/C][C]0.015237[/C][/ROW]
[ROW][C]41[/C][C]0.05486[/C][C]0.6255[/C][C]0.26637[/C][/ROW]
[ROW][C]42[/C][C]0.133246[/C][C]1.5192[/C][C]0.065565[/C][/ROW]
[ROW][C]43[/C][C]0.018702[/C][C]0.2132[/C][C]0.415738[/C][/ROW]
[ROW][C]44[/C][C]-0.219273[/C][C]-2.5001[/C][C]0.00683[/C][/ROW]
[ROW][C]45[/C][C]-0.213355[/C][C]-2.4326[/C][C]0.008175[/C][/ROW]
[ROW][C]46[/C][C]-0.099642[/C][C]-1.1361[/C][C]0.129003[/C][/ROW]
[ROW][C]47[/C][C]0.210571[/C][C]2.4009[/C][C]0.008886[/C][/ROW]
[ROW][C]48[/C][C]0.528261[/C][C]6.0231[/C][C]0[/C][/ROW]
[ROW][C]49[/C][C]0.099221[/C][C]1.1313[/C][C]0.130008[/C][/ROW]
[ROW][C]50[/C][C]-0.166798[/C][C]-1.9018[/C][C]0.029706[/C][/ROW]
[ROW][C]51[/C][C]-0.231622[/C][C]-2.6409[/C][C]0.004641[/C][/ROW]
[ROW][C]52[/C][C]-0.152466[/C][C]-1.7384[/C][C]0.042255[/C][/ROW]
[ROW][C]53[/C][C]0.03505[/C][C]0.3996[/C][C]0.345041[/C][/ROW]
[ROW][C]54[/C][C]0.108855[/C][C]1.2411[/C][C]0.108396[/C][/ROW]
[ROW][C]55[/C][C]0.008075[/C][C]0.0921[/C][C]0.463391[/C][/ROW]
[ROW][C]56[/C][C]-0.188005[/C][C]-2.1436[/C][C]0.016964[/C][/ROW]
[ROW][C]57[/C][C]-0.149104[/C][C]-1.7[/C][C]0.045757[/C][/ROW]
[ROW][C]58[/C][C]-0.077783[/C][C]-0.8869[/C][C]0.188394[/C][/ROW]
[ROW][C]59[/C][C]0.203025[/C][C]2.3148[/C][C]0.011094[/C][/ROW]
[ROW][C]60[/C][C]0.464668[/C][C]5.298[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112497&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112497&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
10.2807573.20110.00086
2-0.236878-2.70080.003919
3-0.336759-3.83969.6e-05
4-0.278954-3.18060.000919
50.0673780.76820.221874
60.2306252.62950.004791
70.0837040.95440.170832
8-0.236097-2.69190.00402
9-0.28868-3.29150.000642
10-0.222441-2.53620.006195
110.2620062.98730.001682
120.8134889.27520
130.1981562.25930.012764
14-0.205678-2.34510.010268
15-0.310527-3.54060.000277
16-0.260502-2.97020.001773
170.0561640.64040.26153
180.1798052.05010.021183
190.0397990.45380.325372
20-0.246409-2.80950.002864
21-0.276909-3.15730.00099
22-0.183175-2.08850.019351
230.2638543.00840.001577
240.6947827.92170
250.1227721.39980.081974
26-0.223577-2.54920.00598
27-0.283217-3.22920.000786
28-0.227942-2.59890.005216
290.0555720.63360.26372
300.1451061.65450.050223
310.018080.20610.418501
32-0.238897-2.72380.00367
33-0.246861-2.81470.002822
34-0.143229-1.63310.052437
350.2522472.87610.002354
360.6227367.10030
370.1071261.22140.112068
38-0.193067-2.20130.01474
39-0.270024-3.07870.001268
40-0.19188-2.18780.015237
410.054860.62550.26637
420.1332461.51920.065565
430.0187020.21320.415738
44-0.219273-2.50010.00683
45-0.213355-2.43260.008175
46-0.099642-1.13610.129003
470.2105712.40090.008886
480.5282616.02310
490.0992211.13130.130008
50-0.166798-1.90180.029706
51-0.231622-2.64090.004641
52-0.152466-1.73840.042255
530.035050.39960.345041
540.1088551.24110.108396
550.0080750.09210.463391
56-0.188005-2.14360.016964
57-0.149104-1.70.045757
58-0.077783-0.88690.188394
590.2030252.31480.011094
600.4646685.2980







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.2807573.20110.00086
2-0.342717-3.90767.5e-05
3-0.186034-2.12110.017906
4-0.236752-2.69940.003935
50.0930081.06050.145453
60.0062970.07180.471437
7-0.069952-0.79760.213286
8-0.281009-3.2040.000853
9-0.127089-1.4490.074867
10-0.294907-3.36250.000508
110.2577162.93840.001952
120.6769957.71890
13-0.245716-2.80160.002931
140.1638291.86790.032011
150.0527090.6010.274452
160.043850.50.30897
17-0.034195-0.38990.348631
18-0.120737-1.37660.085498
19-0.093521-1.06630.144132
20-0.156023-1.77890.038794
21-0.114217-1.30230.097563
22-0.01318-0.15030.440392
23-0.075202-0.85740.19639
240.0570730.65070.258183
25-0.125017-1.42540.078217
26-0.075194-0.85730.196415
270.0833360.95020.171893
28-0.05902-0.67290.251093
29-0.024618-0.28070.389696
30-0.056726-0.64680.25946
310.0009870.01130.495521
32-0.015926-0.18160.428098
33-0.020264-0.2310.40882
34-0.015645-0.17840.42935
35-0.069538-0.79290.214653
360.0881711.00530.158309
370.0488380.55680.289298
380.0261080.29770.383211
39-0.064661-0.73730.231149
400.0932661.06340.144786
41-0.06567-0.74870.22768
420.0431530.4920.311769
43-0.030296-0.34540.365166
44-0.023062-0.26290.396504
45-0.049352-0.56270.287303
460.0126840.14460.442618
47-0.199232-2.27160.012377
48-0.023248-0.26510.395687
49-0.035443-0.40410.343398
50-0.096255-1.09750.137232
51-0.029732-0.3390.367579
52-0.025839-0.29460.384382
53-0.061597-0.70230.24187
54-0.021901-0.24970.401605
55-0.045103-0.51430.303972
560.0660670.75330.226323
570.0368030.41960.337727
58-0.074396-0.84820.19893
590.1775832.02480.02247
60-0.053094-0.60540.272996

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.280757 & 3.2011 & 0.00086 \tabularnewline
2 & -0.342717 & -3.9076 & 7.5e-05 \tabularnewline
3 & -0.186034 & -2.1211 & 0.017906 \tabularnewline
4 & -0.236752 & -2.6994 & 0.003935 \tabularnewline
5 & 0.093008 & 1.0605 & 0.145453 \tabularnewline
6 & 0.006297 & 0.0718 & 0.471437 \tabularnewline
7 & -0.069952 & -0.7976 & 0.213286 \tabularnewline
8 & -0.281009 & -3.204 & 0.000853 \tabularnewline
9 & -0.127089 & -1.449 & 0.074867 \tabularnewline
10 & -0.294907 & -3.3625 & 0.000508 \tabularnewline
11 & 0.257716 & 2.9384 & 0.001952 \tabularnewline
12 & 0.676995 & 7.7189 & 0 \tabularnewline
13 & -0.245716 & -2.8016 & 0.002931 \tabularnewline
14 & 0.163829 & 1.8679 & 0.032011 \tabularnewline
15 & 0.052709 & 0.601 & 0.274452 \tabularnewline
16 & 0.04385 & 0.5 & 0.30897 \tabularnewline
17 & -0.034195 & -0.3899 & 0.348631 \tabularnewline
18 & -0.120737 & -1.3766 & 0.085498 \tabularnewline
19 & -0.093521 & -1.0663 & 0.144132 \tabularnewline
20 & -0.156023 & -1.7789 & 0.038794 \tabularnewline
21 & -0.114217 & -1.3023 & 0.097563 \tabularnewline
22 & -0.01318 & -0.1503 & 0.440392 \tabularnewline
23 & -0.075202 & -0.8574 & 0.19639 \tabularnewline
24 & 0.057073 & 0.6507 & 0.258183 \tabularnewline
25 & -0.125017 & -1.4254 & 0.078217 \tabularnewline
26 & -0.075194 & -0.8573 & 0.196415 \tabularnewline
27 & 0.083336 & 0.9502 & 0.171893 \tabularnewline
28 & -0.05902 & -0.6729 & 0.251093 \tabularnewline
29 & -0.024618 & -0.2807 & 0.389696 \tabularnewline
30 & -0.056726 & -0.6468 & 0.25946 \tabularnewline
31 & 0.000987 & 0.0113 & 0.495521 \tabularnewline
32 & -0.015926 & -0.1816 & 0.428098 \tabularnewline
33 & -0.020264 & -0.231 & 0.40882 \tabularnewline
34 & -0.015645 & -0.1784 & 0.42935 \tabularnewline
35 & -0.069538 & -0.7929 & 0.214653 \tabularnewline
36 & 0.088171 & 1.0053 & 0.158309 \tabularnewline
37 & 0.048838 & 0.5568 & 0.289298 \tabularnewline
38 & 0.026108 & 0.2977 & 0.383211 \tabularnewline
39 & -0.064661 & -0.7373 & 0.231149 \tabularnewline
40 & 0.093266 & 1.0634 & 0.144786 \tabularnewline
41 & -0.06567 & -0.7487 & 0.22768 \tabularnewline
42 & 0.043153 & 0.492 & 0.311769 \tabularnewline
43 & -0.030296 & -0.3454 & 0.365166 \tabularnewline
44 & -0.023062 & -0.2629 & 0.396504 \tabularnewline
45 & -0.049352 & -0.5627 & 0.287303 \tabularnewline
46 & 0.012684 & 0.1446 & 0.442618 \tabularnewline
47 & -0.199232 & -2.2716 & 0.012377 \tabularnewline
48 & -0.023248 & -0.2651 & 0.395687 \tabularnewline
49 & -0.035443 & -0.4041 & 0.343398 \tabularnewline
50 & -0.096255 & -1.0975 & 0.137232 \tabularnewline
51 & -0.029732 & -0.339 & 0.367579 \tabularnewline
52 & -0.025839 & -0.2946 & 0.384382 \tabularnewline
53 & -0.061597 & -0.7023 & 0.24187 \tabularnewline
54 & -0.021901 & -0.2497 & 0.401605 \tabularnewline
55 & -0.045103 & -0.5143 & 0.303972 \tabularnewline
56 & 0.066067 & 0.7533 & 0.226323 \tabularnewline
57 & 0.036803 & 0.4196 & 0.337727 \tabularnewline
58 & -0.074396 & -0.8482 & 0.19893 \tabularnewline
59 & 0.177583 & 2.0248 & 0.02247 \tabularnewline
60 & -0.053094 & -0.6054 & 0.272996 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=112497&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]0.280757[/C][C]3.2011[/C][C]0.00086[/C][/ROW]
[ROW][C]2[/C][C]-0.342717[/C][C]-3.9076[/C][C]7.5e-05[/C][/ROW]
[ROW][C]3[/C][C]-0.186034[/C][C]-2.1211[/C][C]0.017906[/C][/ROW]
[ROW][C]4[/C][C]-0.236752[/C][C]-2.6994[/C][C]0.003935[/C][/ROW]
[ROW][C]5[/C][C]0.093008[/C][C]1.0605[/C][C]0.145453[/C][/ROW]
[ROW][C]6[/C][C]0.006297[/C][C]0.0718[/C][C]0.471437[/C][/ROW]
[ROW][C]7[/C][C]-0.069952[/C][C]-0.7976[/C][C]0.213286[/C][/ROW]
[ROW][C]8[/C][C]-0.281009[/C][C]-3.204[/C][C]0.000853[/C][/ROW]
[ROW][C]9[/C][C]-0.127089[/C][C]-1.449[/C][C]0.074867[/C][/ROW]
[ROW][C]10[/C][C]-0.294907[/C][C]-3.3625[/C][C]0.000508[/C][/ROW]
[ROW][C]11[/C][C]0.257716[/C][C]2.9384[/C][C]0.001952[/C][/ROW]
[ROW][C]12[/C][C]0.676995[/C][C]7.7189[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]-0.245716[/C][C]-2.8016[/C][C]0.002931[/C][/ROW]
[ROW][C]14[/C][C]0.163829[/C][C]1.8679[/C][C]0.032011[/C][/ROW]
[ROW][C]15[/C][C]0.052709[/C][C]0.601[/C][C]0.274452[/C][/ROW]
[ROW][C]16[/C][C]0.04385[/C][C]0.5[/C][C]0.30897[/C][/ROW]
[ROW][C]17[/C][C]-0.034195[/C][C]-0.3899[/C][C]0.348631[/C][/ROW]
[ROW][C]18[/C][C]-0.120737[/C][C]-1.3766[/C][C]0.085498[/C][/ROW]
[ROW][C]19[/C][C]-0.093521[/C][C]-1.0663[/C][C]0.144132[/C][/ROW]
[ROW][C]20[/C][C]-0.156023[/C][C]-1.7789[/C][C]0.038794[/C][/ROW]
[ROW][C]21[/C][C]-0.114217[/C][C]-1.3023[/C][C]0.097563[/C][/ROW]
[ROW][C]22[/C][C]-0.01318[/C][C]-0.1503[/C][C]0.440392[/C][/ROW]
[ROW][C]23[/C][C]-0.075202[/C][C]-0.8574[/C][C]0.19639[/C][/ROW]
[ROW][C]24[/C][C]0.057073[/C][C]0.6507[/C][C]0.258183[/C][/ROW]
[ROW][C]25[/C][C]-0.125017[/C][C]-1.4254[/C][C]0.078217[/C][/ROW]
[ROW][C]26[/C][C]-0.075194[/C][C]-0.8573[/C][C]0.196415[/C][/ROW]
[ROW][C]27[/C][C]0.083336[/C][C]0.9502[/C][C]0.171893[/C][/ROW]
[ROW][C]28[/C][C]-0.05902[/C][C]-0.6729[/C][C]0.251093[/C][/ROW]
[ROW][C]29[/C][C]-0.024618[/C][C]-0.2807[/C][C]0.389696[/C][/ROW]
[ROW][C]30[/C][C]-0.056726[/C][C]-0.6468[/C][C]0.25946[/C][/ROW]
[ROW][C]31[/C][C]0.000987[/C][C]0.0113[/C][C]0.495521[/C][/ROW]
[ROW][C]32[/C][C]-0.015926[/C][C]-0.1816[/C][C]0.428098[/C][/ROW]
[ROW][C]33[/C][C]-0.020264[/C][C]-0.231[/C][C]0.40882[/C][/ROW]
[ROW][C]34[/C][C]-0.015645[/C][C]-0.1784[/C][C]0.42935[/C][/ROW]
[ROW][C]35[/C][C]-0.069538[/C][C]-0.7929[/C][C]0.214653[/C][/ROW]
[ROW][C]36[/C][C]0.088171[/C][C]1.0053[/C][C]0.158309[/C][/ROW]
[ROW][C]37[/C][C]0.048838[/C][C]0.5568[/C][C]0.289298[/C][/ROW]
[ROW][C]38[/C][C]0.026108[/C][C]0.2977[/C][C]0.383211[/C][/ROW]
[ROW][C]39[/C][C]-0.064661[/C][C]-0.7373[/C][C]0.231149[/C][/ROW]
[ROW][C]40[/C][C]0.093266[/C][C]1.0634[/C][C]0.144786[/C][/ROW]
[ROW][C]41[/C][C]-0.06567[/C][C]-0.7487[/C][C]0.22768[/C][/ROW]
[ROW][C]42[/C][C]0.043153[/C][C]0.492[/C][C]0.311769[/C][/ROW]
[ROW][C]43[/C][C]-0.030296[/C][C]-0.3454[/C][C]0.365166[/C][/ROW]
[ROW][C]44[/C][C]-0.023062[/C][C]-0.2629[/C][C]0.396504[/C][/ROW]
[ROW][C]45[/C][C]-0.049352[/C][C]-0.5627[/C][C]0.287303[/C][/ROW]
[ROW][C]46[/C][C]0.012684[/C][C]0.1446[/C][C]0.442618[/C][/ROW]
[ROW][C]47[/C][C]-0.199232[/C][C]-2.2716[/C][C]0.012377[/C][/ROW]
[ROW][C]48[/C][C]-0.023248[/C][C]-0.2651[/C][C]0.395687[/C][/ROW]
[ROW][C]49[/C][C]-0.035443[/C][C]-0.4041[/C][C]0.343398[/C][/ROW]
[ROW][C]50[/C][C]-0.096255[/C][C]-1.0975[/C][C]0.137232[/C][/ROW]
[ROW][C]51[/C][C]-0.029732[/C][C]-0.339[/C][C]0.367579[/C][/ROW]
[ROW][C]52[/C][C]-0.025839[/C][C]-0.2946[/C][C]0.384382[/C][/ROW]
[ROW][C]53[/C][C]-0.061597[/C][C]-0.7023[/C][C]0.24187[/C][/ROW]
[ROW][C]54[/C][C]-0.021901[/C][C]-0.2497[/C][C]0.401605[/C][/ROW]
[ROW][C]55[/C][C]-0.045103[/C][C]-0.5143[/C][C]0.303972[/C][/ROW]
[ROW][C]56[/C][C]0.066067[/C][C]0.7533[/C][C]0.226323[/C][/ROW]
[ROW][C]57[/C][C]0.036803[/C][C]0.4196[/C][C]0.337727[/C][/ROW]
[ROW][C]58[/C][C]-0.074396[/C][C]-0.8482[/C][C]0.19893[/C][/ROW]
[ROW][C]59[/C][C]0.177583[/C][C]2.0248[/C][C]0.02247[/C][/ROW]
[ROW][C]60[/C][C]-0.053094[/C][C]-0.6054[/C][C]0.272996[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=112497&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=112497&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
10.2807573.20110.00086
2-0.342717-3.90767.5e-05
3-0.186034-2.12110.017906
4-0.236752-2.69940.003935
50.0930081.06050.145453
60.0062970.07180.471437
7-0.069952-0.79760.213286
8-0.281009-3.2040.000853
9-0.127089-1.4490.074867
10-0.294907-3.36250.000508
110.2577162.93840.001952
120.6769957.71890
13-0.245716-2.80160.002931
140.1638291.86790.032011
150.0527090.6010.274452
160.043850.50.30897
17-0.034195-0.38990.348631
18-0.120737-1.37660.085498
19-0.093521-1.06630.144132
20-0.156023-1.77890.038794
21-0.114217-1.30230.097563
22-0.01318-0.15030.440392
23-0.075202-0.85740.19639
240.0570730.65070.258183
25-0.125017-1.42540.078217
26-0.075194-0.85730.196415
270.0833360.95020.171893
28-0.05902-0.67290.251093
29-0.024618-0.28070.389696
30-0.056726-0.64680.25946
310.0009870.01130.495521
32-0.015926-0.18160.428098
33-0.020264-0.2310.40882
34-0.015645-0.17840.42935
35-0.069538-0.79290.214653
360.0881711.00530.158309
370.0488380.55680.289298
380.0261080.29770.383211
39-0.064661-0.73730.231149
400.0932661.06340.144786
41-0.06567-0.74870.22768
420.0431530.4920.311769
43-0.030296-0.34540.365166
44-0.023062-0.26290.396504
45-0.049352-0.56270.287303
460.0126840.14460.442618
47-0.199232-2.27160.012377
48-0.023248-0.26510.395687
49-0.035443-0.40410.343398
50-0.096255-1.09750.137232
51-0.029732-0.3390.367579
52-0.025839-0.29460.384382
53-0.061597-0.70230.24187
54-0.021901-0.24970.401605
55-0.045103-0.51430.303972
560.0660670.75330.226323
570.0368030.41960.337727
58-0.074396-0.84820.19893
590.1775832.02480.02247
60-0.053094-0.60540.272996



Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; 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')