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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationTue, 15 Jan 2013 08:45:33 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Jan/15/t13582575723rozvq5070wc0kq.htm/, Retrieved Sat, 27 Apr 2024 19:57:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=205456, Retrieved Sat, 27 Apr 2024 19:57:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2013-01-15 13:45:33] [fd38808b420d32739e394c14d51f62a5] [Current]
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Dataseries X:
20.7
20.4
20.3
20.4
19.8
19.5
23.1
23.5
23.5
22.9
21.9
21.5
20.5
20.2
19.4
19.2
18.8
18.8
22.6
23.3
23
21.4
19.9
18.8
18.6
18.4
18.6
19.9
19.2
18.4
21.1
20.5
19.1
18.1
17
17.1
17.4
16.8
15.3
14.3
13.4
15.3
22.1
23.7
22.2
19.5
16.6
17.3
19.8
21.2
21.5
20.6
19.1
19.6
23.4
24.3
24.1
22.8
22.5
23.8
24.9
25.2
24.3
22.8
20.7
19.8
22.5
22.6
22.5
21.8
21.2
20.6
19.9
18.7
17.6
16.4
15.9
16.8
22.8
24
22.2
17.9
16
16




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

\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' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205456&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' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205456&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205456&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' @ jenkins.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.3676153.34910.000611
2-0.218935-1.99460.024685
3-0.463522-4.22293.1e-05
4-0.36446-3.32040.000669
50.0151510.1380.445275
60.2414382.19960.015308
70.1519131.3840.085035
8-0.096551-0.87960.190801
9-0.196996-1.79470.03817
10-0.154837-1.41060.081045
110.1466751.33630.092557
120.5286434.81623e-06
130.0912730.83150.204028
14-0.221657-2.01940.023337
15-0.27605-2.51490.006917
16-0.152195-1.38660.084645
170.1247941.13690.12942
180.2273512.07130.02072
190.0714580.6510.258417
20-0.169218-1.54160.063482
21-0.250254-2.27990.012589
22-0.180752-1.64670.051698
230.1249031.13790.129214
240.4639714.2273e-05
250.0879950.80170.212517
26-0.18559-1.69080.047313
27-0.22435-2.04390.022066
28-0.111549-1.01630.15623
290.1184051.07870.141919
300.1625771.48110.071178
31-0.005221-0.04760.481089
32-0.22553-2.05470.021528
33-0.258951-2.35920.010333
34-0.113877-1.03750.151265
350.2066791.88290.031606
360.4891274.45621.3e-05
370.1256721.14490.127766
38-0.162924-1.48430.070757
39-0.241576-2.20090.015262
40-0.147577-1.34450.091227
410.0626060.57040.284986
420.1261221.1490.126923
430.0574830.52370.300944
44-0.060584-0.55190.291234
45-0.119842-1.09180.139038
46-0.101894-0.92830.177973
470.0301520.27470.392115
480.2075471.89080.031067
490.04530.41270.340444
50-0.016956-0.15450.438806
51-0.013876-0.12640.449855
520.0229560.20910.417425
530.0432580.39410.347258
54-0.013989-0.12740.449447
55-0.057549-0.52430.300734
56-0.086792-0.79070.215683
57-0.079864-0.72760.234454
58-0.010853-0.09890.460738
590.0840520.76580.222998
600.1966011.79110.03846

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.367615 & 3.3491 & 0.000611 \tabularnewline
2 & -0.218935 & -1.9946 & 0.024685 \tabularnewline
3 & -0.463522 & -4.2229 & 3.1e-05 \tabularnewline
4 & -0.36446 & -3.3204 & 0.000669 \tabularnewline
5 & 0.015151 & 0.138 & 0.445275 \tabularnewline
6 & 0.241438 & 2.1996 & 0.015308 \tabularnewline
7 & 0.151913 & 1.384 & 0.085035 \tabularnewline
8 & -0.096551 & -0.8796 & 0.190801 \tabularnewline
9 & -0.196996 & -1.7947 & 0.03817 \tabularnewline
10 & -0.154837 & -1.4106 & 0.081045 \tabularnewline
11 & 0.146675 & 1.3363 & 0.092557 \tabularnewline
12 & 0.528643 & 4.8162 & 3e-06 \tabularnewline
13 & 0.091273 & 0.8315 & 0.204028 \tabularnewline
14 & -0.221657 & -2.0194 & 0.023337 \tabularnewline
15 & -0.27605 & -2.5149 & 0.006917 \tabularnewline
16 & -0.152195 & -1.3866 & 0.084645 \tabularnewline
17 & 0.124794 & 1.1369 & 0.12942 \tabularnewline
18 & 0.227351 & 2.0713 & 0.02072 \tabularnewline
19 & 0.071458 & 0.651 & 0.258417 \tabularnewline
20 & -0.169218 & -1.5416 & 0.063482 \tabularnewline
21 & -0.250254 & -2.2799 & 0.012589 \tabularnewline
22 & -0.180752 & -1.6467 & 0.051698 \tabularnewline
23 & 0.124903 & 1.1379 & 0.129214 \tabularnewline
24 & 0.463971 & 4.227 & 3e-05 \tabularnewline
25 & 0.087995 & 0.8017 & 0.212517 \tabularnewline
26 & -0.18559 & -1.6908 & 0.047313 \tabularnewline
27 & -0.22435 & -2.0439 & 0.022066 \tabularnewline
28 & -0.111549 & -1.0163 & 0.15623 \tabularnewline
29 & 0.118405 & 1.0787 & 0.141919 \tabularnewline
30 & 0.162577 & 1.4811 & 0.071178 \tabularnewline
31 & -0.005221 & -0.0476 & 0.481089 \tabularnewline
32 & -0.22553 & -2.0547 & 0.021528 \tabularnewline
33 & -0.258951 & -2.3592 & 0.010333 \tabularnewline
34 & -0.113877 & -1.0375 & 0.151265 \tabularnewline
35 & 0.206679 & 1.8829 & 0.031606 \tabularnewline
36 & 0.489127 & 4.4562 & 1.3e-05 \tabularnewline
37 & 0.125672 & 1.1449 & 0.127766 \tabularnewline
38 & -0.162924 & -1.4843 & 0.070757 \tabularnewline
39 & -0.241576 & -2.2009 & 0.015262 \tabularnewline
40 & -0.147577 & -1.3445 & 0.091227 \tabularnewline
41 & 0.062606 & 0.5704 & 0.284986 \tabularnewline
42 & 0.126122 & 1.149 & 0.126923 \tabularnewline
43 & 0.057483 & 0.5237 & 0.300944 \tabularnewline
44 & -0.060584 & -0.5519 & 0.291234 \tabularnewline
45 & -0.119842 & -1.0918 & 0.139038 \tabularnewline
46 & -0.101894 & -0.9283 & 0.177973 \tabularnewline
47 & 0.030152 & 0.2747 & 0.392115 \tabularnewline
48 & 0.207547 & 1.8908 & 0.031067 \tabularnewline
49 & 0.0453 & 0.4127 & 0.340444 \tabularnewline
50 & -0.016956 & -0.1545 & 0.438806 \tabularnewline
51 & -0.013876 & -0.1264 & 0.449855 \tabularnewline
52 & 0.022956 & 0.2091 & 0.417425 \tabularnewline
53 & 0.043258 & 0.3941 & 0.347258 \tabularnewline
54 & -0.013989 & -0.1274 & 0.449447 \tabularnewline
55 & -0.057549 & -0.5243 & 0.300734 \tabularnewline
56 & -0.086792 & -0.7907 & 0.215683 \tabularnewline
57 & -0.079864 & -0.7276 & 0.234454 \tabularnewline
58 & -0.010853 & -0.0989 & 0.460738 \tabularnewline
59 & 0.084052 & 0.7658 & 0.222998 \tabularnewline
60 & 0.196601 & 1.7911 & 0.03846 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205456&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]0.367615[/C][C]3.3491[/C][C]0.000611[/C][/ROW]
[ROW][C]2[/C][C]-0.218935[/C][C]-1.9946[/C][C]0.024685[/C][/ROW]
[ROW][C]3[/C][C]-0.463522[/C][C]-4.2229[/C][C]3.1e-05[/C][/ROW]
[ROW][C]4[/C][C]-0.36446[/C][C]-3.3204[/C][C]0.000669[/C][/ROW]
[ROW][C]5[/C][C]0.015151[/C][C]0.138[/C][C]0.445275[/C][/ROW]
[ROW][C]6[/C][C]0.241438[/C][C]2.1996[/C][C]0.015308[/C][/ROW]
[ROW][C]7[/C][C]0.151913[/C][C]1.384[/C][C]0.085035[/C][/ROW]
[ROW][C]8[/C][C]-0.096551[/C][C]-0.8796[/C][C]0.190801[/C][/ROW]
[ROW][C]9[/C][C]-0.196996[/C][C]-1.7947[/C][C]0.03817[/C][/ROW]
[ROW][C]10[/C][C]-0.154837[/C][C]-1.4106[/C][C]0.081045[/C][/ROW]
[ROW][C]11[/C][C]0.146675[/C][C]1.3363[/C][C]0.092557[/C][/ROW]
[ROW][C]12[/C][C]0.528643[/C][C]4.8162[/C][C]3e-06[/C][/ROW]
[ROW][C]13[/C][C]0.091273[/C][C]0.8315[/C][C]0.204028[/C][/ROW]
[ROW][C]14[/C][C]-0.221657[/C][C]-2.0194[/C][C]0.023337[/C][/ROW]
[ROW][C]15[/C][C]-0.27605[/C][C]-2.5149[/C][C]0.006917[/C][/ROW]
[ROW][C]16[/C][C]-0.152195[/C][C]-1.3866[/C][C]0.084645[/C][/ROW]
[ROW][C]17[/C][C]0.124794[/C][C]1.1369[/C][C]0.12942[/C][/ROW]
[ROW][C]18[/C][C]0.227351[/C][C]2.0713[/C][C]0.02072[/C][/ROW]
[ROW][C]19[/C][C]0.071458[/C][C]0.651[/C][C]0.258417[/C][/ROW]
[ROW][C]20[/C][C]-0.169218[/C][C]-1.5416[/C][C]0.063482[/C][/ROW]
[ROW][C]21[/C][C]-0.250254[/C][C]-2.2799[/C][C]0.012589[/C][/ROW]
[ROW][C]22[/C][C]-0.180752[/C][C]-1.6467[/C][C]0.051698[/C][/ROW]
[ROW][C]23[/C][C]0.124903[/C][C]1.1379[/C][C]0.129214[/C][/ROW]
[ROW][C]24[/C][C]0.463971[/C][C]4.227[/C][C]3e-05[/C][/ROW]
[ROW][C]25[/C][C]0.087995[/C][C]0.8017[/C][C]0.212517[/C][/ROW]
[ROW][C]26[/C][C]-0.18559[/C][C]-1.6908[/C][C]0.047313[/C][/ROW]
[ROW][C]27[/C][C]-0.22435[/C][C]-2.0439[/C][C]0.022066[/C][/ROW]
[ROW][C]28[/C][C]-0.111549[/C][C]-1.0163[/C][C]0.15623[/C][/ROW]
[ROW][C]29[/C][C]0.118405[/C][C]1.0787[/C][C]0.141919[/C][/ROW]
[ROW][C]30[/C][C]0.162577[/C][C]1.4811[/C][C]0.071178[/C][/ROW]
[ROW][C]31[/C][C]-0.005221[/C][C]-0.0476[/C][C]0.481089[/C][/ROW]
[ROW][C]32[/C][C]-0.22553[/C][C]-2.0547[/C][C]0.021528[/C][/ROW]
[ROW][C]33[/C][C]-0.258951[/C][C]-2.3592[/C][C]0.010333[/C][/ROW]
[ROW][C]34[/C][C]-0.113877[/C][C]-1.0375[/C][C]0.151265[/C][/ROW]
[ROW][C]35[/C][C]0.206679[/C][C]1.8829[/C][C]0.031606[/C][/ROW]
[ROW][C]36[/C][C]0.489127[/C][C]4.4562[/C][C]1.3e-05[/C][/ROW]
[ROW][C]37[/C][C]0.125672[/C][C]1.1449[/C][C]0.127766[/C][/ROW]
[ROW][C]38[/C][C]-0.162924[/C][C]-1.4843[/C][C]0.070757[/C][/ROW]
[ROW][C]39[/C][C]-0.241576[/C][C]-2.2009[/C][C]0.015262[/C][/ROW]
[ROW][C]40[/C][C]-0.147577[/C][C]-1.3445[/C][C]0.091227[/C][/ROW]
[ROW][C]41[/C][C]0.062606[/C][C]0.5704[/C][C]0.284986[/C][/ROW]
[ROW][C]42[/C][C]0.126122[/C][C]1.149[/C][C]0.126923[/C][/ROW]
[ROW][C]43[/C][C]0.057483[/C][C]0.5237[/C][C]0.300944[/C][/ROW]
[ROW][C]44[/C][C]-0.060584[/C][C]-0.5519[/C][C]0.291234[/C][/ROW]
[ROW][C]45[/C][C]-0.119842[/C][C]-1.0918[/C][C]0.139038[/C][/ROW]
[ROW][C]46[/C][C]-0.101894[/C][C]-0.9283[/C][C]0.177973[/C][/ROW]
[ROW][C]47[/C][C]0.030152[/C][C]0.2747[/C][C]0.392115[/C][/ROW]
[ROW][C]48[/C][C]0.207547[/C][C]1.8908[/C][C]0.031067[/C][/ROW]
[ROW][C]49[/C][C]0.0453[/C][C]0.4127[/C][C]0.340444[/C][/ROW]
[ROW][C]50[/C][C]-0.016956[/C][C]-0.1545[/C][C]0.438806[/C][/ROW]
[ROW][C]51[/C][C]-0.013876[/C][C]-0.1264[/C][C]0.449855[/C][/ROW]
[ROW][C]52[/C][C]0.022956[/C][C]0.2091[/C][C]0.417425[/C][/ROW]
[ROW][C]53[/C][C]0.043258[/C][C]0.3941[/C][C]0.347258[/C][/ROW]
[ROW][C]54[/C][C]-0.013989[/C][C]-0.1274[/C][C]0.449447[/C][/ROW]
[ROW][C]55[/C][C]-0.057549[/C][C]-0.5243[/C][C]0.300734[/C][/ROW]
[ROW][C]56[/C][C]-0.086792[/C][C]-0.7907[/C][C]0.215683[/C][/ROW]
[ROW][C]57[/C][C]-0.079864[/C][C]-0.7276[/C][C]0.234454[/C][/ROW]
[ROW][C]58[/C][C]-0.010853[/C][C]-0.0989[/C][C]0.460738[/C][/ROW]
[ROW][C]59[/C][C]0.084052[/C][C]0.7658[/C][C]0.222998[/C][/ROW]
[ROW][C]60[/C][C]0.196601[/C][C]1.7911[/C][C]0.03846[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205456&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205456&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
10.3676153.34910.000611
2-0.218935-1.99460.024685
3-0.463522-4.22293.1e-05
4-0.36446-3.32040.000669
50.0151510.1380.445275
60.2414382.19960.015308
70.1519131.3840.085035
8-0.096551-0.87960.190801
9-0.196996-1.79470.03817
10-0.154837-1.41060.081045
110.1466751.33630.092557
120.5286434.81623e-06
130.0912730.83150.204028
14-0.221657-2.01940.023337
15-0.27605-2.51490.006917
16-0.152195-1.38660.084645
170.1247941.13690.12942
180.2273512.07130.02072
190.0714580.6510.258417
20-0.169218-1.54160.063482
21-0.250254-2.27990.012589
22-0.180752-1.64670.051698
230.1249031.13790.129214
240.4639714.2273e-05
250.0879950.80170.212517
26-0.18559-1.69080.047313
27-0.22435-2.04390.022066
28-0.111549-1.01630.15623
290.1184051.07870.141919
300.1625771.48110.071178
31-0.005221-0.04760.481089
32-0.22553-2.05470.021528
33-0.258951-2.35920.010333
34-0.113877-1.03750.151265
350.2066791.88290.031606
360.4891274.45621.3e-05
370.1256721.14490.127766
38-0.162924-1.48430.070757
39-0.241576-2.20090.015262
40-0.147577-1.34450.091227
410.0626060.57040.284986
420.1261221.1490.126923
430.0574830.52370.300944
44-0.060584-0.55190.291234
45-0.119842-1.09180.139038
46-0.101894-0.92830.177973
470.0301520.27470.392115
480.2075471.89080.031067
490.04530.41270.340444
50-0.016956-0.15450.438806
51-0.013876-0.12640.449855
520.0229560.20910.417425
530.0432580.39410.347258
54-0.013989-0.12740.449447
55-0.057549-0.52430.300734
56-0.086792-0.79070.215683
57-0.079864-0.72760.234454
58-0.010853-0.09890.460738
590.0840520.76580.222998
600.1966011.79110.03846







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.3676153.34910.000611
2-0.409402-3.72980.000175
3-0.277242-2.52580.006722
4-0.200399-1.82570.035745
50.0395380.36020.359804
6-0.037557-0.34220.366546
7-0.123446-1.12460.13199
8-0.174454-1.58940.057891
9-0.068371-0.62290.267531
10-0.14314-1.30410.097908
110.1362641.24140.108973
120.4312923.92938.8e-05
13-0.43688-3.98027.3e-05
140.1781141.62270.054224
150.1453051.32380.094604
160.0020330.01850.492635
170.0128020.11660.453717
180.0515280.46940.319992
19-0.032668-0.29760.383369
20-0.127796-1.16430.123823
21-0.118591-1.08040.141543
22-0.012362-0.11260.455302
23-0.014822-0.1350.446455
240.0079580.07250.471187
25-0.154405-1.40670.081626
26-0.006751-0.06150.475553
270.0310930.28330.388837
28-0.003281-0.02990.488112
29-0.03028-0.27590.39167
30-0.053773-0.48990.312752
31-0.070659-0.64370.260762
32-0.184632-1.68210.048156
33-0.122216-1.11340.134367
340.0059220.0540.478552
35-0.042669-0.38870.349234
36-0.003909-0.03560.485838
370.0180480.16440.434899
380.0473380.43130.333696
390.0001590.00150.499423
400.036790.33520.369169
41-0.010685-0.09730.461343
42-0.013292-0.12110.451956
430.0821390.74830.22819
440.1078660.98270.164304
45-0.040417-0.36820.356826
46-0.062301-0.56760.285924
47-0.152559-1.38990.084141
48-0.150042-1.36690.087667
490.0835660.76130.224311
500.0468840.42710.335193
51-0.04206-0.38320.351281
520.040260.36680.357355
53-0.074751-0.6810.248879
54-0.01315-0.11980.452466
550.0352530.32120.374443
560.019050.17360.431319
57-0.025405-0.23150.408767
580.0281390.25640.399154
59-0.018601-0.16950.432921
600.0347840.31690.376057

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.367615 & 3.3491 & 0.000611 \tabularnewline
2 & -0.409402 & -3.7298 & 0.000175 \tabularnewline
3 & -0.277242 & -2.5258 & 0.006722 \tabularnewline
4 & -0.200399 & -1.8257 & 0.035745 \tabularnewline
5 & 0.039538 & 0.3602 & 0.359804 \tabularnewline
6 & -0.037557 & -0.3422 & 0.366546 \tabularnewline
7 & -0.123446 & -1.1246 & 0.13199 \tabularnewline
8 & -0.174454 & -1.5894 & 0.057891 \tabularnewline
9 & -0.068371 & -0.6229 & 0.267531 \tabularnewline
10 & -0.14314 & -1.3041 & 0.097908 \tabularnewline
11 & 0.136264 & 1.2414 & 0.108973 \tabularnewline
12 & 0.431292 & 3.9293 & 8.8e-05 \tabularnewline
13 & -0.43688 & -3.9802 & 7.3e-05 \tabularnewline
14 & 0.178114 & 1.6227 & 0.054224 \tabularnewline
15 & 0.145305 & 1.3238 & 0.094604 \tabularnewline
16 & 0.002033 & 0.0185 & 0.492635 \tabularnewline
17 & 0.012802 & 0.1166 & 0.453717 \tabularnewline
18 & 0.051528 & 0.4694 & 0.319992 \tabularnewline
19 & -0.032668 & -0.2976 & 0.383369 \tabularnewline
20 & -0.127796 & -1.1643 & 0.123823 \tabularnewline
21 & -0.118591 & -1.0804 & 0.141543 \tabularnewline
22 & -0.012362 & -0.1126 & 0.455302 \tabularnewline
23 & -0.014822 & -0.135 & 0.446455 \tabularnewline
24 & 0.007958 & 0.0725 & 0.471187 \tabularnewline
25 & -0.154405 & -1.4067 & 0.081626 \tabularnewline
26 & -0.006751 & -0.0615 & 0.475553 \tabularnewline
27 & 0.031093 & 0.2833 & 0.388837 \tabularnewline
28 & -0.003281 & -0.0299 & 0.488112 \tabularnewline
29 & -0.03028 & -0.2759 & 0.39167 \tabularnewline
30 & -0.053773 & -0.4899 & 0.312752 \tabularnewline
31 & -0.070659 & -0.6437 & 0.260762 \tabularnewline
32 & -0.184632 & -1.6821 & 0.048156 \tabularnewline
33 & -0.122216 & -1.1134 & 0.134367 \tabularnewline
34 & 0.005922 & 0.054 & 0.478552 \tabularnewline
35 & -0.042669 & -0.3887 & 0.349234 \tabularnewline
36 & -0.003909 & -0.0356 & 0.485838 \tabularnewline
37 & 0.018048 & 0.1644 & 0.434899 \tabularnewline
38 & 0.047338 & 0.4313 & 0.333696 \tabularnewline
39 & 0.000159 & 0.0015 & 0.499423 \tabularnewline
40 & 0.03679 & 0.3352 & 0.369169 \tabularnewline
41 & -0.010685 & -0.0973 & 0.461343 \tabularnewline
42 & -0.013292 & -0.1211 & 0.451956 \tabularnewline
43 & 0.082139 & 0.7483 & 0.22819 \tabularnewline
44 & 0.107866 & 0.9827 & 0.164304 \tabularnewline
45 & -0.040417 & -0.3682 & 0.356826 \tabularnewline
46 & -0.062301 & -0.5676 & 0.285924 \tabularnewline
47 & -0.152559 & -1.3899 & 0.084141 \tabularnewline
48 & -0.150042 & -1.3669 & 0.087667 \tabularnewline
49 & 0.083566 & 0.7613 & 0.224311 \tabularnewline
50 & 0.046884 & 0.4271 & 0.335193 \tabularnewline
51 & -0.04206 & -0.3832 & 0.351281 \tabularnewline
52 & 0.04026 & 0.3668 & 0.357355 \tabularnewline
53 & -0.074751 & -0.681 & 0.248879 \tabularnewline
54 & -0.01315 & -0.1198 & 0.452466 \tabularnewline
55 & 0.035253 & 0.3212 & 0.374443 \tabularnewline
56 & 0.01905 & 0.1736 & 0.431319 \tabularnewline
57 & -0.025405 & -0.2315 & 0.408767 \tabularnewline
58 & 0.028139 & 0.2564 & 0.399154 \tabularnewline
59 & -0.018601 & -0.1695 & 0.432921 \tabularnewline
60 & 0.034784 & 0.3169 & 0.376057 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=205456&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]0.367615[/C][C]3.3491[/C][C]0.000611[/C][/ROW]
[ROW][C]2[/C][C]-0.409402[/C][C]-3.7298[/C][C]0.000175[/C][/ROW]
[ROW][C]3[/C][C]-0.277242[/C][C]-2.5258[/C][C]0.006722[/C][/ROW]
[ROW][C]4[/C][C]-0.200399[/C][C]-1.8257[/C][C]0.035745[/C][/ROW]
[ROW][C]5[/C][C]0.039538[/C][C]0.3602[/C][C]0.359804[/C][/ROW]
[ROW][C]6[/C][C]-0.037557[/C][C]-0.3422[/C][C]0.366546[/C][/ROW]
[ROW][C]7[/C][C]-0.123446[/C][C]-1.1246[/C][C]0.13199[/C][/ROW]
[ROW][C]8[/C][C]-0.174454[/C][C]-1.5894[/C][C]0.057891[/C][/ROW]
[ROW][C]9[/C][C]-0.068371[/C][C]-0.6229[/C][C]0.267531[/C][/ROW]
[ROW][C]10[/C][C]-0.14314[/C][C]-1.3041[/C][C]0.097908[/C][/ROW]
[ROW][C]11[/C][C]0.136264[/C][C]1.2414[/C][C]0.108973[/C][/ROW]
[ROW][C]12[/C][C]0.431292[/C][C]3.9293[/C][C]8.8e-05[/C][/ROW]
[ROW][C]13[/C][C]-0.43688[/C][C]-3.9802[/C][C]7.3e-05[/C][/ROW]
[ROW][C]14[/C][C]0.178114[/C][C]1.6227[/C][C]0.054224[/C][/ROW]
[ROW][C]15[/C][C]0.145305[/C][C]1.3238[/C][C]0.094604[/C][/ROW]
[ROW][C]16[/C][C]0.002033[/C][C]0.0185[/C][C]0.492635[/C][/ROW]
[ROW][C]17[/C][C]0.012802[/C][C]0.1166[/C][C]0.453717[/C][/ROW]
[ROW][C]18[/C][C]0.051528[/C][C]0.4694[/C][C]0.319992[/C][/ROW]
[ROW][C]19[/C][C]-0.032668[/C][C]-0.2976[/C][C]0.383369[/C][/ROW]
[ROW][C]20[/C][C]-0.127796[/C][C]-1.1643[/C][C]0.123823[/C][/ROW]
[ROW][C]21[/C][C]-0.118591[/C][C]-1.0804[/C][C]0.141543[/C][/ROW]
[ROW][C]22[/C][C]-0.012362[/C][C]-0.1126[/C][C]0.455302[/C][/ROW]
[ROW][C]23[/C][C]-0.014822[/C][C]-0.135[/C][C]0.446455[/C][/ROW]
[ROW][C]24[/C][C]0.007958[/C][C]0.0725[/C][C]0.471187[/C][/ROW]
[ROW][C]25[/C][C]-0.154405[/C][C]-1.4067[/C][C]0.081626[/C][/ROW]
[ROW][C]26[/C][C]-0.006751[/C][C]-0.0615[/C][C]0.475553[/C][/ROW]
[ROW][C]27[/C][C]0.031093[/C][C]0.2833[/C][C]0.388837[/C][/ROW]
[ROW][C]28[/C][C]-0.003281[/C][C]-0.0299[/C][C]0.488112[/C][/ROW]
[ROW][C]29[/C][C]-0.03028[/C][C]-0.2759[/C][C]0.39167[/C][/ROW]
[ROW][C]30[/C][C]-0.053773[/C][C]-0.4899[/C][C]0.312752[/C][/ROW]
[ROW][C]31[/C][C]-0.070659[/C][C]-0.6437[/C][C]0.260762[/C][/ROW]
[ROW][C]32[/C][C]-0.184632[/C][C]-1.6821[/C][C]0.048156[/C][/ROW]
[ROW][C]33[/C][C]-0.122216[/C][C]-1.1134[/C][C]0.134367[/C][/ROW]
[ROW][C]34[/C][C]0.005922[/C][C]0.054[/C][C]0.478552[/C][/ROW]
[ROW][C]35[/C][C]-0.042669[/C][C]-0.3887[/C][C]0.349234[/C][/ROW]
[ROW][C]36[/C][C]-0.003909[/C][C]-0.0356[/C][C]0.485838[/C][/ROW]
[ROW][C]37[/C][C]0.018048[/C][C]0.1644[/C][C]0.434899[/C][/ROW]
[ROW][C]38[/C][C]0.047338[/C][C]0.4313[/C][C]0.333696[/C][/ROW]
[ROW][C]39[/C][C]0.000159[/C][C]0.0015[/C][C]0.499423[/C][/ROW]
[ROW][C]40[/C][C]0.03679[/C][C]0.3352[/C][C]0.369169[/C][/ROW]
[ROW][C]41[/C][C]-0.010685[/C][C]-0.0973[/C][C]0.461343[/C][/ROW]
[ROW][C]42[/C][C]-0.013292[/C][C]-0.1211[/C][C]0.451956[/C][/ROW]
[ROW][C]43[/C][C]0.082139[/C][C]0.7483[/C][C]0.22819[/C][/ROW]
[ROW][C]44[/C][C]0.107866[/C][C]0.9827[/C][C]0.164304[/C][/ROW]
[ROW][C]45[/C][C]-0.040417[/C][C]-0.3682[/C][C]0.356826[/C][/ROW]
[ROW][C]46[/C][C]-0.062301[/C][C]-0.5676[/C][C]0.285924[/C][/ROW]
[ROW][C]47[/C][C]-0.152559[/C][C]-1.3899[/C][C]0.084141[/C][/ROW]
[ROW][C]48[/C][C]-0.150042[/C][C]-1.3669[/C][C]0.087667[/C][/ROW]
[ROW][C]49[/C][C]0.083566[/C][C]0.7613[/C][C]0.224311[/C][/ROW]
[ROW][C]50[/C][C]0.046884[/C][C]0.4271[/C][C]0.335193[/C][/ROW]
[ROW][C]51[/C][C]-0.04206[/C][C]-0.3832[/C][C]0.351281[/C][/ROW]
[ROW][C]52[/C][C]0.04026[/C][C]0.3668[/C][C]0.357355[/C][/ROW]
[ROW][C]53[/C][C]-0.074751[/C][C]-0.681[/C][C]0.248879[/C][/ROW]
[ROW][C]54[/C][C]-0.01315[/C][C]-0.1198[/C][C]0.452466[/C][/ROW]
[ROW][C]55[/C][C]0.035253[/C][C]0.3212[/C][C]0.374443[/C][/ROW]
[ROW][C]56[/C][C]0.01905[/C][C]0.1736[/C][C]0.431319[/C][/ROW]
[ROW][C]57[/C][C]-0.025405[/C][C]-0.2315[/C][C]0.408767[/C][/ROW]
[ROW][C]58[/C][C]0.028139[/C][C]0.2564[/C][C]0.399154[/C][/ROW]
[ROW][C]59[/C][C]-0.018601[/C][C]-0.1695[/C][C]0.432921[/C][/ROW]
[ROW][C]60[/C][C]0.034784[/C][C]0.3169[/C][C]0.376057[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=205456&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=205456&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
10.3676153.34910.000611
2-0.409402-3.72980.000175
3-0.277242-2.52580.006722
4-0.200399-1.82570.035745
50.0395380.36020.359804
6-0.037557-0.34220.366546
7-0.123446-1.12460.13199
8-0.174454-1.58940.057891
9-0.068371-0.62290.267531
10-0.14314-1.30410.097908
110.1362641.24140.108973
120.4312923.92938.8e-05
13-0.43688-3.98027.3e-05
140.1781141.62270.054224
150.1453051.32380.094604
160.0020330.01850.492635
170.0128020.11660.453717
180.0515280.46940.319992
19-0.032668-0.29760.383369
20-0.127796-1.16430.123823
21-0.118591-1.08040.141543
22-0.012362-0.11260.455302
23-0.014822-0.1350.446455
240.0079580.07250.471187
25-0.154405-1.40670.081626
26-0.006751-0.06150.475553
270.0310930.28330.388837
28-0.003281-0.02990.488112
29-0.03028-0.27590.39167
30-0.053773-0.48990.312752
31-0.070659-0.64370.260762
32-0.184632-1.68210.048156
33-0.122216-1.11340.134367
340.0059220.0540.478552
35-0.042669-0.38870.349234
36-0.003909-0.03560.485838
370.0180480.16440.434899
380.0473380.43130.333696
390.0001590.00150.499423
400.036790.33520.369169
41-0.010685-0.09730.461343
42-0.013292-0.12110.451956
430.0821390.74830.22819
440.1078660.98270.164304
45-0.040417-0.36820.356826
46-0.062301-0.56760.285924
47-0.152559-1.38990.084141
48-0.150042-1.36690.087667
490.0835660.76130.224311
500.0468840.42710.335193
51-0.04206-0.38320.351281
520.040260.36680.357355
53-0.074751-0.6810.248879
54-0.01315-0.11980.452466
550.0352530.32120.374443
560.019050.17360.431319
57-0.025405-0.23150.408767
580.0281390.25640.399154
59-0.018601-0.16950.432921
600.0347840.31690.376057



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')