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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationWed, 22 May 2013 10:25:53 -0400
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/May/22/t1369232797sbsk2dpbimshe3b.htm/, Retrieved Sat, 27 Apr 2024 15:02:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=209807, Retrieved Sat, 27 Apr 2024 15:02:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact74
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [Autocorrelatie ei...] [2013-05-22 14:25:53] [65a89fc2585e1033f9f51d37a51d872c] [Current]
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Dataseries X:
-1
-2
-5
-4
-6
-2
-2
-2
-2
2
1
-8
-1
1
-1
2
2
1
-1
-2
-2
-1
-8
-4
-6
-3
-3
-7
-9
-11
-13
-11
-9
-17
-22
-25
-20
-24
-24
-22
-19
-18
-17
-11
-11
-12
-10
-15
-15
-15
-13
-8
-13
-9
-7
-4
-4
-2
0
-2
-3
1
-2
-1
1
-3
-4
-9
-9
-7
-14
-12
-16
-20
-12
-12
-10
-10
-13
-16
-14
-17
-24
-25




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 4 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=209807&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=209807&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=209807&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 time4 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.8634177.91330
20.7636796.99920
30.7045326.45710
40.6219815.70060
50.5505525.04591e-06
60.4656394.26762.6e-05
70.4040033.70280.00019
80.3374133.09240.001347
90.2598992.3820.009738
100.2111261.9350.028178
110.1353951.24090.109045
120.055630.50990.305745
13-0.013406-0.12290.451253
14-0.10679-0.97870.165259
15-0.158431-1.4520.075107
16-0.238656-2.18730.015749
17-0.311554-2.85540.002707
18-0.355067-3.25420.00082
19-0.401239-3.67740.000207
20-0.431459-3.95448e-05
21-0.476911-4.3711.8e-05
22-0.49392-4.52691e-05
23-0.465116-4.26292.6e-05
24-0.481561-4.41361.5e-05
25-0.456926-4.18783.5e-05
26-0.426962-3.91329.2e-05
27-0.408137-3.74060.000167
28-0.366918-3.36290.000582
29-0.310764-2.84820.002763
30-0.232143-2.12760.01815
31-0.167179-1.53220.064613
32-0.128004-1.17320.122021
33-0.066977-0.61390.270486
34-0.023292-0.21350.415735
350.0138380.12680.449691
360.0505290.46310.322241
370.0753110.69020.245973
380.1210681.10960.135167
390.1360791.24720.107898
400.1713521.57050.060033
410.2124511.94710.027429
420.2329232.13480.017846
430.2656772.4350.008505
440.2770412.53910.006478
450.2776232.54450.006387
460.2488942.28110.012535
470.20761.90270.030254
480.2241942.05480.021504
490.1828851.67620.048712
500.1323181.21270.114319
510.1087760.99690.160827
520.0851220.78020.218745
530.0678440.62180.26788
540.0433880.39770.345947
550.0151350.13870.445003
56-0.009513-0.08720.465364
57-0.037891-0.34730.364625
58-0.048801-0.44730.327917
59-0.043617-0.39980.345176
60-0.064877-0.59460.276853

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.863417 & 7.9133 & 0 \tabularnewline
2 & 0.763679 & 6.9992 & 0 \tabularnewline
3 & 0.704532 & 6.4571 & 0 \tabularnewline
4 & 0.621981 & 5.7006 & 0 \tabularnewline
5 & 0.550552 & 5.0459 & 1e-06 \tabularnewline
6 & 0.465639 & 4.2676 & 2.6e-05 \tabularnewline
7 & 0.404003 & 3.7028 & 0.00019 \tabularnewline
8 & 0.337413 & 3.0924 & 0.001347 \tabularnewline
9 & 0.259899 & 2.382 & 0.009738 \tabularnewline
10 & 0.211126 & 1.935 & 0.028178 \tabularnewline
11 & 0.135395 & 1.2409 & 0.109045 \tabularnewline
12 & 0.05563 & 0.5099 & 0.305745 \tabularnewline
13 & -0.013406 & -0.1229 & 0.451253 \tabularnewline
14 & -0.10679 & -0.9787 & 0.165259 \tabularnewline
15 & -0.158431 & -1.452 & 0.075107 \tabularnewline
16 & -0.238656 & -2.1873 & 0.015749 \tabularnewline
17 & -0.311554 & -2.8554 & 0.002707 \tabularnewline
18 & -0.355067 & -3.2542 & 0.00082 \tabularnewline
19 & -0.401239 & -3.6774 & 0.000207 \tabularnewline
20 & -0.431459 & -3.9544 & 8e-05 \tabularnewline
21 & -0.476911 & -4.371 & 1.8e-05 \tabularnewline
22 & -0.49392 & -4.5269 & 1e-05 \tabularnewline
23 & -0.465116 & -4.2629 & 2.6e-05 \tabularnewline
24 & -0.481561 & -4.4136 & 1.5e-05 \tabularnewline
25 & -0.456926 & -4.1878 & 3.5e-05 \tabularnewline
26 & -0.426962 & -3.9132 & 9.2e-05 \tabularnewline
27 & -0.408137 & -3.7406 & 0.000167 \tabularnewline
28 & -0.366918 & -3.3629 & 0.000582 \tabularnewline
29 & -0.310764 & -2.8482 & 0.002763 \tabularnewline
30 & -0.232143 & -2.1276 & 0.01815 \tabularnewline
31 & -0.167179 & -1.5322 & 0.064613 \tabularnewline
32 & -0.128004 & -1.1732 & 0.122021 \tabularnewline
33 & -0.066977 & -0.6139 & 0.270486 \tabularnewline
34 & -0.023292 & -0.2135 & 0.415735 \tabularnewline
35 & 0.013838 & 0.1268 & 0.449691 \tabularnewline
36 & 0.050529 & 0.4631 & 0.322241 \tabularnewline
37 & 0.075311 & 0.6902 & 0.245973 \tabularnewline
38 & 0.121068 & 1.1096 & 0.135167 \tabularnewline
39 & 0.136079 & 1.2472 & 0.107898 \tabularnewline
40 & 0.171352 & 1.5705 & 0.060033 \tabularnewline
41 & 0.212451 & 1.9471 & 0.027429 \tabularnewline
42 & 0.232923 & 2.1348 & 0.017846 \tabularnewline
43 & 0.265677 & 2.435 & 0.008505 \tabularnewline
44 & 0.277041 & 2.5391 & 0.006478 \tabularnewline
45 & 0.277623 & 2.5445 & 0.006387 \tabularnewline
46 & 0.248894 & 2.2811 & 0.012535 \tabularnewline
47 & 0.2076 & 1.9027 & 0.030254 \tabularnewline
48 & 0.224194 & 2.0548 & 0.021504 \tabularnewline
49 & 0.182885 & 1.6762 & 0.048712 \tabularnewline
50 & 0.132318 & 1.2127 & 0.114319 \tabularnewline
51 & 0.108776 & 0.9969 & 0.160827 \tabularnewline
52 & 0.085122 & 0.7802 & 0.218745 \tabularnewline
53 & 0.067844 & 0.6218 & 0.26788 \tabularnewline
54 & 0.043388 & 0.3977 & 0.345947 \tabularnewline
55 & 0.015135 & 0.1387 & 0.445003 \tabularnewline
56 & -0.009513 & -0.0872 & 0.465364 \tabularnewline
57 & -0.037891 & -0.3473 & 0.364625 \tabularnewline
58 & -0.048801 & -0.4473 & 0.327917 \tabularnewline
59 & -0.043617 & -0.3998 & 0.345176 \tabularnewline
60 & -0.064877 & -0.5946 & 0.276853 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=209807&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]0.863417[/C][C]7.9133[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.763679[/C][C]6.9992[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.704532[/C][C]6.4571[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.621981[/C][C]5.7006[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.550552[/C][C]5.0459[/C][C]1e-06[/C][/ROW]
[ROW][C]6[/C][C]0.465639[/C][C]4.2676[/C][C]2.6e-05[/C][/ROW]
[ROW][C]7[/C][C]0.404003[/C][C]3.7028[/C][C]0.00019[/C][/ROW]
[ROW][C]8[/C][C]0.337413[/C][C]3.0924[/C][C]0.001347[/C][/ROW]
[ROW][C]9[/C][C]0.259899[/C][C]2.382[/C][C]0.009738[/C][/ROW]
[ROW][C]10[/C][C]0.211126[/C][C]1.935[/C][C]0.028178[/C][/ROW]
[ROW][C]11[/C][C]0.135395[/C][C]1.2409[/C][C]0.109045[/C][/ROW]
[ROW][C]12[/C][C]0.05563[/C][C]0.5099[/C][C]0.305745[/C][/ROW]
[ROW][C]13[/C][C]-0.013406[/C][C]-0.1229[/C][C]0.451253[/C][/ROW]
[ROW][C]14[/C][C]-0.10679[/C][C]-0.9787[/C][C]0.165259[/C][/ROW]
[ROW][C]15[/C][C]-0.158431[/C][C]-1.452[/C][C]0.075107[/C][/ROW]
[ROW][C]16[/C][C]-0.238656[/C][C]-2.1873[/C][C]0.015749[/C][/ROW]
[ROW][C]17[/C][C]-0.311554[/C][C]-2.8554[/C][C]0.002707[/C][/ROW]
[ROW][C]18[/C][C]-0.355067[/C][C]-3.2542[/C][C]0.00082[/C][/ROW]
[ROW][C]19[/C][C]-0.401239[/C][C]-3.6774[/C][C]0.000207[/C][/ROW]
[ROW][C]20[/C][C]-0.431459[/C][C]-3.9544[/C][C]8e-05[/C][/ROW]
[ROW][C]21[/C][C]-0.476911[/C][C]-4.371[/C][C]1.8e-05[/C][/ROW]
[ROW][C]22[/C][C]-0.49392[/C][C]-4.5269[/C][C]1e-05[/C][/ROW]
[ROW][C]23[/C][C]-0.465116[/C][C]-4.2629[/C][C]2.6e-05[/C][/ROW]
[ROW][C]24[/C][C]-0.481561[/C][C]-4.4136[/C][C]1.5e-05[/C][/ROW]
[ROW][C]25[/C][C]-0.456926[/C][C]-4.1878[/C][C]3.5e-05[/C][/ROW]
[ROW][C]26[/C][C]-0.426962[/C][C]-3.9132[/C][C]9.2e-05[/C][/ROW]
[ROW][C]27[/C][C]-0.408137[/C][C]-3.7406[/C][C]0.000167[/C][/ROW]
[ROW][C]28[/C][C]-0.366918[/C][C]-3.3629[/C][C]0.000582[/C][/ROW]
[ROW][C]29[/C][C]-0.310764[/C][C]-2.8482[/C][C]0.002763[/C][/ROW]
[ROW][C]30[/C][C]-0.232143[/C][C]-2.1276[/C][C]0.01815[/C][/ROW]
[ROW][C]31[/C][C]-0.167179[/C][C]-1.5322[/C][C]0.064613[/C][/ROW]
[ROW][C]32[/C][C]-0.128004[/C][C]-1.1732[/C][C]0.122021[/C][/ROW]
[ROW][C]33[/C][C]-0.066977[/C][C]-0.6139[/C][C]0.270486[/C][/ROW]
[ROW][C]34[/C][C]-0.023292[/C][C]-0.2135[/C][C]0.415735[/C][/ROW]
[ROW][C]35[/C][C]0.013838[/C][C]0.1268[/C][C]0.449691[/C][/ROW]
[ROW][C]36[/C][C]0.050529[/C][C]0.4631[/C][C]0.322241[/C][/ROW]
[ROW][C]37[/C][C]0.075311[/C][C]0.6902[/C][C]0.245973[/C][/ROW]
[ROW][C]38[/C][C]0.121068[/C][C]1.1096[/C][C]0.135167[/C][/ROW]
[ROW][C]39[/C][C]0.136079[/C][C]1.2472[/C][C]0.107898[/C][/ROW]
[ROW][C]40[/C][C]0.171352[/C][C]1.5705[/C][C]0.060033[/C][/ROW]
[ROW][C]41[/C][C]0.212451[/C][C]1.9471[/C][C]0.027429[/C][/ROW]
[ROW][C]42[/C][C]0.232923[/C][C]2.1348[/C][C]0.017846[/C][/ROW]
[ROW][C]43[/C][C]0.265677[/C][C]2.435[/C][C]0.008505[/C][/ROW]
[ROW][C]44[/C][C]0.277041[/C][C]2.5391[/C][C]0.006478[/C][/ROW]
[ROW][C]45[/C][C]0.277623[/C][C]2.5445[/C][C]0.006387[/C][/ROW]
[ROW][C]46[/C][C]0.248894[/C][C]2.2811[/C][C]0.012535[/C][/ROW]
[ROW][C]47[/C][C]0.2076[/C][C]1.9027[/C][C]0.030254[/C][/ROW]
[ROW][C]48[/C][C]0.224194[/C][C]2.0548[/C][C]0.021504[/C][/ROW]
[ROW][C]49[/C][C]0.182885[/C][C]1.6762[/C][C]0.048712[/C][/ROW]
[ROW][C]50[/C][C]0.132318[/C][C]1.2127[/C][C]0.114319[/C][/ROW]
[ROW][C]51[/C][C]0.108776[/C][C]0.9969[/C][C]0.160827[/C][/ROW]
[ROW][C]52[/C][C]0.085122[/C][C]0.7802[/C][C]0.218745[/C][/ROW]
[ROW][C]53[/C][C]0.067844[/C][C]0.6218[/C][C]0.26788[/C][/ROW]
[ROW][C]54[/C][C]0.043388[/C][C]0.3977[/C][C]0.345947[/C][/ROW]
[ROW][C]55[/C][C]0.015135[/C][C]0.1387[/C][C]0.445003[/C][/ROW]
[ROW][C]56[/C][C]-0.009513[/C][C]-0.0872[/C][C]0.465364[/C][/ROW]
[ROW][C]57[/C][C]-0.037891[/C][C]-0.3473[/C][C]0.364625[/C][/ROW]
[ROW][C]58[/C][C]-0.048801[/C][C]-0.4473[/C][C]0.327917[/C][/ROW]
[ROW][C]59[/C][C]-0.043617[/C][C]-0.3998[/C][C]0.345176[/C][/ROW]
[ROW][C]60[/C][C]-0.064877[/C][C]-0.5946[/C][C]0.276853[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=209807&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=209807&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
10.8634177.91330
20.7636796.99920
30.7045326.45710
40.6219815.70060
50.5505525.04591e-06
60.4656394.26762.6e-05
70.4040033.70280.00019
80.3374133.09240.001347
90.2598992.3820.009738
100.2111261.9350.028178
110.1353951.24090.109045
120.055630.50990.305745
13-0.013406-0.12290.451253
14-0.10679-0.97870.165259
15-0.158431-1.4520.075107
16-0.238656-2.18730.015749
17-0.311554-2.85540.002707
18-0.355067-3.25420.00082
19-0.401239-3.67740.000207
20-0.431459-3.95448e-05
21-0.476911-4.3711.8e-05
22-0.49392-4.52691e-05
23-0.465116-4.26292.6e-05
24-0.481561-4.41361.5e-05
25-0.456926-4.18783.5e-05
26-0.426962-3.91329.2e-05
27-0.408137-3.74060.000167
28-0.366918-3.36290.000582
29-0.310764-2.84820.002763
30-0.232143-2.12760.01815
31-0.167179-1.53220.064613
32-0.128004-1.17320.122021
33-0.066977-0.61390.270486
34-0.023292-0.21350.415735
350.0138380.12680.449691
360.0505290.46310.322241
370.0753110.69020.245973
380.1210681.10960.135167
390.1360791.24720.107898
400.1713521.57050.060033
410.2124511.94710.027429
420.2329232.13480.017846
430.2656772.4350.008505
440.2770412.53910.006478
450.2776232.54450.006387
460.2488942.28110.012535
470.20761.90270.030254
480.2241942.05480.021504
490.1828851.67620.048712
500.1323181.21270.114319
510.1087760.99690.160827
520.0851220.78020.218745
530.0678440.62180.26788
540.0433880.39770.345947
550.0151350.13870.445003
56-0.009513-0.08720.465364
57-0.037891-0.34730.364625
58-0.048801-0.44730.327917
59-0.043617-0.39980.345176
60-0.064877-0.59460.276853







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.8634177.91330
20.0714730.65510.25711
30.120751.10670.135793
4-0.086877-0.79620.214068
50.0013220.01210.495182
6-0.109727-1.00570.158732
70.0403940.37020.356075
8-0.067372-0.61750.269295
9-0.062182-0.56990.285132
100.0281270.25780.398599
11-0.129046-1.18270.120127
12-0.08043-0.73720.231541
13-0.067947-0.62270.26757
14-0.15635-1.4330.077789
150.0483510.44310.329402
16-0.170723-1.56470.060706
17-0.044875-0.41130.340956
18-0.033701-0.30890.379089
19-0.023516-0.21550.414941
20-0.037093-0.340.367367
21-0.105015-0.96250.169286
220.0271680.2490.401985
230.1082840.99240.161916
24-0.110655-1.01420.156707
250.1000670.91710.180851
26-0.026696-0.24470.403655
270.0109010.09990.460327
280.0076040.06970.472302
290.1302491.19380.117967
300.0719070.6590.255838
310.0495330.4540.325509
32-0.061917-0.56750.285953
330.0082170.07530.470075
34-0.042189-0.38670.349989
35-0.03559-0.32620.372547
36-0.048673-0.44610.328339
37-0.005077-0.04650.4815
38-0.026889-0.24640.402971
39-0.059846-0.54850.292403
400.0400850.36740.357126
41-0.000157-0.00140.499426
42-0.007503-0.06880.472671
430.0470360.43110.333752
44-0.013953-0.12790.449273
45-0.014052-0.12880.448915
46-0.166356-1.52470.065548
470.018270.16750.433709
480.152141.39440.083439
49-0.162633-1.49060.069912
500.0035930.03290.486904
510.0269230.24680.402849
520.0737340.67580.250517
53-0.02105-0.19290.42374
540.0359110.32910.371438
55-0.010318-0.09460.462442
56-0.030436-0.2790.390483
570.0505340.46310.322228
580.0413780.37920.352735
590.132921.21820.113273
60-0.098521-0.9030.184565

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.863417 & 7.9133 & 0 \tabularnewline
2 & 0.071473 & 0.6551 & 0.25711 \tabularnewline
3 & 0.12075 & 1.1067 & 0.135793 \tabularnewline
4 & -0.086877 & -0.7962 & 0.214068 \tabularnewline
5 & 0.001322 & 0.0121 & 0.495182 \tabularnewline
6 & -0.109727 & -1.0057 & 0.158732 \tabularnewline
7 & 0.040394 & 0.3702 & 0.356075 \tabularnewline
8 & -0.067372 & -0.6175 & 0.269295 \tabularnewline
9 & -0.062182 & -0.5699 & 0.285132 \tabularnewline
10 & 0.028127 & 0.2578 & 0.398599 \tabularnewline
11 & -0.129046 & -1.1827 & 0.120127 \tabularnewline
12 & -0.08043 & -0.7372 & 0.231541 \tabularnewline
13 & -0.067947 & -0.6227 & 0.26757 \tabularnewline
14 & -0.15635 & -1.433 & 0.077789 \tabularnewline
15 & 0.048351 & 0.4431 & 0.329402 \tabularnewline
16 & -0.170723 & -1.5647 & 0.060706 \tabularnewline
17 & -0.044875 & -0.4113 & 0.340956 \tabularnewline
18 & -0.033701 & -0.3089 & 0.379089 \tabularnewline
19 & -0.023516 & -0.2155 & 0.414941 \tabularnewline
20 & -0.037093 & -0.34 & 0.367367 \tabularnewline
21 & -0.105015 & -0.9625 & 0.169286 \tabularnewline
22 & 0.027168 & 0.249 & 0.401985 \tabularnewline
23 & 0.108284 & 0.9924 & 0.161916 \tabularnewline
24 & -0.110655 & -1.0142 & 0.156707 \tabularnewline
25 & 0.100067 & 0.9171 & 0.180851 \tabularnewline
26 & -0.026696 & -0.2447 & 0.403655 \tabularnewline
27 & 0.010901 & 0.0999 & 0.460327 \tabularnewline
28 & 0.007604 & 0.0697 & 0.472302 \tabularnewline
29 & 0.130249 & 1.1938 & 0.117967 \tabularnewline
30 & 0.071907 & 0.659 & 0.255838 \tabularnewline
31 & 0.049533 & 0.454 & 0.325509 \tabularnewline
32 & -0.061917 & -0.5675 & 0.285953 \tabularnewline
33 & 0.008217 & 0.0753 & 0.470075 \tabularnewline
34 & -0.042189 & -0.3867 & 0.349989 \tabularnewline
35 & -0.03559 & -0.3262 & 0.372547 \tabularnewline
36 & -0.048673 & -0.4461 & 0.328339 \tabularnewline
37 & -0.005077 & -0.0465 & 0.4815 \tabularnewline
38 & -0.026889 & -0.2464 & 0.402971 \tabularnewline
39 & -0.059846 & -0.5485 & 0.292403 \tabularnewline
40 & 0.040085 & 0.3674 & 0.357126 \tabularnewline
41 & -0.000157 & -0.0014 & 0.499426 \tabularnewline
42 & -0.007503 & -0.0688 & 0.472671 \tabularnewline
43 & 0.047036 & 0.4311 & 0.333752 \tabularnewline
44 & -0.013953 & -0.1279 & 0.449273 \tabularnewline
45 & -0.014052 & -0.1288 & 0.448915 \tabularnewline
46 & -0.166356 & -1.5247 & 0.065548 \tabularnewline
47 & 0.01827 & 0.1675 & 0.433709 \tabularnewline
48 & 0.15214 & 1.3944 & 0.083439 \tabularnewline
49 & -0.162633 & -1.4906 & 0.069912 \tabularnewline
50 & 0.003593 & 0.0329 & 0.486904 \tabularnewline
51 & 0.026923 & 0.2468 & 0.402849 \tabularnewline
52 & 0.073734 & 0.6758 & 0.250517 \tabularnewline
53 & -0.02105 & -0.1929 & 0.42374 \tabularnewline
54 & 0.035911 & 0.3291 & 0.371438 \tabularnewline
55 & -0.010318 & -0.0946 & 0.462442 \tabularnewline
56 & -0.030436 & -0.279 & 0.390483 \tabularnewline
57 & 0.050534 & 0.4631 & 0.322228 \tabularnewline
58 & 0.041378 & 0.3792 & 0.352735 \tabularnewline
59 & 0.13292 & 1.2182 & 0.113273 \tabularnewline
60 & -0.098521 & -0.903 & 0.184565 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=209807&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]0.863417[/C][C]7.9133[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.071473[/C][C]0.6551[/C][C]0.25711[/C][/ROW]
[ROW][C]3[/C][C]0.12075[/C][C]1.1067[/C][C]0.135793[/C][/ROW]
[ROW][C]4[/C][C]-0.086877[/C][C]-0.7962[/C][C]0.214068[/C][/ROW]
[ROW][C]5[/C][C]0.001322[/C][C]0.0121[/C][C]0.495182[/C][/ROW]
[ROW][C]6[/C][C]-0.109727[/C][C]-1.0057[/C][C]0.158732[/C][/ROW]
[ROW][C]7[/C][C]0.040394[/C][C]0.3702[/C][C]0.356075[/C][/ROW]
[ROW][C]8[/C][C]-0.067372[/C][C]-0.6175[/C][C]0.269295[/C][/ROW]
[ROW][C]9[/C][C]-0.062182[/C][C]-0.5699[/C][C]0.285132[/C][/ROW]
[ROW][C]10[/C][C]0.028127[/C][C]0.2578[/C][C]0.398599[/C][/ROW]
[ROW][C]11[/C][C]-0.129046[/C][C]-1.1827[/C][C]0.120127[/C][/ROW]
[ROW][C]12[/C][C]-0.08043[/C][C]-0.7372[/C][C]0.231541[/C][/ROW]
[ROW][C]13[/C][C]-0.067947[/C][C]-0.6227[/C][C]0.26757[/C][/ROW]
[ROW][C]14[/C][C]-0.15635[/C][C]-1.433[/C][C]0.077789[/C][/ROW]
[ROW][C]15[/C][C]0.048351[/C][C]0.4431[/C][C]0.329402[/C][/ROW]
[ROW][C]16[/C][C]-0.170723[/C][C]-1.5647[/C][C]0.060706[/C][/ROW]
[ROW][C]17[/C][C]-0.044875[/C][C]-0.4113[/C][C]0.340956[/C][/ROW]
[ROW][C]18[/C][C]-0.033701[/C][C]-0.3089[/C][C]0.379089[/C][/ROW]
[ROW][C]19[/C][C]-0.023516[/C][C]-0.2155[/C][C]0.414941[/C][/ROW]
[ROW][C]20[/C][C]-0.037093[/C][C]-0.34[/C][C]0.367367[/C][/ROW]
[ROW][C]21[/C][C]-0.105015[/C][C]-0.9625[/C][C]0.169286[/C][/ROW]
[ROW][C]22[/C][C]0.027168[/C][C]0.249[/C][C]0.401985[/C][/ROW]
[ROW][C]23[/C][C]0.108284[/C][C]0.9924[/C][C]0.161916[/C][/ROW]
[ROW][C]24[/C][C]-0.110655[/C][C]-1.0142[/C][C]0.156707[/C][/ROW]
[ROW][C]25[/C][C]0.100067[/C][C]0.9171[/C][C]0.180851[/C][/ROW]
[ROW][C]26[/C][C]-0.026696[/C][C]-0.2447[/C][C]0.403655[/C][/ROW]
[ROW][C]27[/C][C]0.010901[/C][C]0.0999[/C][C]0.460327[/C][/ROW]
[ROW][C]28[/C][C]0.007604[/C][C]0.0697[/C][C]0.472302[/C][/ROW]
[ROW][C]29[/C][C]0.130249[/C][C]1.1938[/C][C]0.117967[/C][/ROW]
[ROW][C]30[/C][C]0.071907[/C][C]0.659[/C][C]0.255838[/C][/ROW]
[ROW][C]31[/C][C]0.049533[/C][C]0.454[/C][C]0.325509[/C][/ROW]
[ROW][C]32[/C][C]-0.061917[/C][C]-0.5675[/C][C]0.285953[/C][/ROW]
[ROW][C]33[/C][C]0.008217[/C][C]0.0753[/C][C]0.470075[/C][/ROW]
[ROW][C]34[/C][C]-0.042189[/C][C]-0.3867[/C][C]0.349989[/C][/ROW]
[ROW][C]35[/C][C]-0.03559[/C][C]-0.3262[/C][C]0.372547[/C][/ROW]
[ROW][C]36[/C][C]-0.048673[/C][C]-0.4461[/C][C]0.328339[/C][/ROW]
[ROW][C]37[/C][C]-0.005077[/C][C]-0.0465[/C][C]0.4815[/C][/ROW]
[ROW][C]38[/C][C]-0.026889[/C][C]-0.2464[/C][C]0.402971[/C][/ROW]
[ROW][C]39[/C][C]-0.059846[/C][C]-0.5485[/C][C]0.292403[/C][/ROW]
[ROW][C]40[/C][C]0.040085[/C][C]0.3674[/C][C]0.357126[/C][/ROW]
[ROW][C]41[/C][C]-0.000157[/C][C]-0.0014[/C][C]0.499426[/C][/ROW]
[ROW][C]42[/C][C]-0.007503[/C][C]-0.0688[/C][C]0.472671[/C][/ROW]
[ROW][C]43[/C][C]0.047036[/C][C]0.4311[/C][C]0.333752[/C][/ROW]
[ROW][C]44[/C][C]-0.013953[/C][C]-0.1279[/C][C]0.449273[/C][/ROW]
[ROW][C]45[/C][C]-0.014052[/C][C]-0.1288[/C][C]0.448915[/C][/ROW]
[ROW][C]46[/C][C]-0.166356[/C][C]-1.5247[/C][C]0.065548[/C][/ROW]
[ROW][C]47[/C][C]0.01827[/C][C]0.1675[/C][C]0.433709[/C][/ROW]
[ROW][C]48[/C][C]0.15214[/C][C]1.3944[/C][C]0.083439[/C][/ROW]
[ROW][C]49[/C][C]-0.162633[/C][C]-1.4906[/C][C]0.069912[/C][/ROW]
[ROW][C]50[/C][C]0.003593[/C][C]0.0329[/C][C]0.486904[/C][/ROW]
[ROW][C]51[/C][C]0.026923[/C][C]0.2468[/C][C]0.402849[/C][/ROW]
[ROW][C]52[/C][C]0.073734[/C][C]0.6758[/C][C]0.250517[/C][/ROW]
[ROW][C]53[/C][C]-0.02105[/C][C]-0.1929[/C][C]0.42374[/C][/ROW]
[ROW][C]54[/C][C]0.035911[/C][C]0.3291[/C][C]0.371438[/C][/ROW]
[ROW][C]55[/C][C]-0.010318[/C][C]-0.0946[/C][C]0.462442[/C][/ROW]
[ROW][C]56[/C][C]-0.030436[/C][C]-0.279[/C][C]0.390483[/C][/ROW]
[ROW][C]57[/C][C]0.050534[/C][C]0.4631[/C][C]0.322228[/C][/ROW]
[ROW][C]58[/C][C]0.041378[/C][C]0.3792[/C][C]0.352735[/C][/ROW]
[ROW][C]59[/C][C]0.13292[/C][C]1.2182[/C][C]0.113273[/C][/ROW]
[ROW][C]60[/C][C]-0.098521[/C][C]-0.903[/C][C]0.184565[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=209807&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=209807&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
10.8634177.91330
20.0714730.65510.25711
30.120751.10670.135793
4-0.086877-0.79620.214068
50.0013220.01210.495182
6-0.109727-1.00570.158732
70.0403940.37020.356075
8-0.067372-0.61750.269295
9-0.062182-0.56990.285132
100.0281270.25780.398599
11-0.129046-1.18270.120127
12-0.08043-0.73720.231541
13-0.067947-0.62270.26757
14-0.15635-1.4330.077789
150.0483510.44310.329402
16-0.170723-1.56470.060706
17-0.044875-0.41130.340956
18-0.033701-0.30890.379089
19-0.023516-0.21550.414941
20-0.037093-0.340.367367
21-0.105015-0.96250.169286
220.0271680.2490.401985
230.1082840.99240.161916
24-0.110655-1.01420.156707
250.1000670.91710.180851
26-0.026696-0.24470.403655
270.0109010.09990.460327
280.0076040.06970.472302
290.1302491.19380.117967
300.0719070.6590.255838
310.0495330.4540.325509
32-0.061917-0.56750.285953
330.0082170.07530.470075
34-0.042189-0.38670.349989
35-0.03559-0.32620.372547
36-0.048673-0.44610.328339
37-0.005077-0.04650.4815
38-0.026889-0.24640.402971
39-0.059846-0.54850.292403
400.0400850.36740.357126
41-0.000157-0.00140.499426
42-0.007503-0.06880.472671
430.0470360.43110.333752
44-0.013953-0.12790.449273
45-0.014052-0.12880.448915
46-0.166356-1.52470.065548
470.018270.16750.433709
480.152141.39440.083439
49-0.162633-1.49060.069912
500.0035930.03290.486904
510.0269230.24680.402849
520.0737340.67580.250517
53-0.02105-0.19290.42374
540.0359110.32910.371438
55-0.010318-0.09460.462442
56-0.030436-0.2790.390483
570.0505340.46310.322228
580.0413780.37920.352735
590.132921.21820.113273
60-0.098521-0.9030.184565



Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = ;
R code (references can be found in the software module):
par8 <- ''
par7 <- '0.95'
par6 <- 'White Noise'
par5 <- '12'
par4 <- '0'
par3 <- '1'
par2 <- '1'
par1 <- '60'
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')