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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationSat, 16 Nov 2013 10:25:22 -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/Nov/16/t1384615615xjaeux8uhok5ym6.htm/, Retrieved Sun, 05 May 2024 08:12:31 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=225583, Retrieved Sun, 05 May 2024 08:12:31 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact104
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2013-11-16 15:25:22] [154a417cb3d2e1b589b01477b4193420] [Current]
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Dataseries X:
13953,3
14657,7
16686,2
15232,4
15014,1
16688,6
13969,6
14546,8
16292
15039
17433,8
17798,4
16870,9
16659,3
19620,4
15953,5
17420,9
17647,5
15200,8
15637,3
17124,5
17659,4
17815
16165,6
17416,6
16823,9
19171,2
16806,8
18112,8
18485,5
17668
16324,3
17877,5
20136,7
19307
17776,3
19861,3
18757
19879,3
21068,4
19358
20639,2
20008,1
18150,1
21180,4
20428,9
17241,2
15969,3
14972,4
14488,3
15885,1
14305,3
13891,5
15431,6
14199,3
13542,6
16226,3
16786,1
16034,3
16744,5
15896,5
15781,8
18590,3
17416,8
16983
18829,4
16748,6
16502,8
18616,6
19136,4
19523,9
18970,2
20118,2
20125,4
23117,8
20014,6
22228,5
20819,1
19208,9
19953,3
21041,3
20006,8
21045,1
20496,3
20873,5
21304,2
23137,8
20514,2
21343,5
20967,2
20024,4
19602,7
19804,1
22173,9
21802,6
19452,2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225583&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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225583&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225583&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 time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.7621817.46780
20.6886316.74720
30.6976036.83510
40.5923635.80390
50.5384635.27580
60.5452975.34280
70.3929173.84980.000107
80.3423513.35430.00057
90.2960892.90110.002306
100.1720751.6860.047523
110.1746051.71080.045176
120.2322082.27520.01256
130.0638050.62520.266675
140.0221610.21710.414282
150.0156320.15320.439296
16-0.037081-0.36330.358584
17-0.031937-0.31290.377512
18-0.043657-0.42780.334895
19-0.114643-1.12330.132062
20-0.143631-1.40730.081285
21-0.199679-1.95640.026659
22-0.247169-2.42170.008662
23-0.201211-1.97150.025775
24-0.178334-1.74730.041891
25-0.24012-2.35270.01034
26-0.265715-2.60350.005347
27-0.240334-2.35480.010285
28-0.196987-1.93010.028275
29-0.164427-1.61110.055226
30-0.141049-1.3820.08509
31-0.131927-1.29260.099624
32-0.156297-1.53140.064481
33-0.178936-1.75320.041379
34-0.160174-1.56940.059925
35-0.130214-1.27580.102547
36-0.083906-0.82210.206527
37-0.095504-0.93570.175876
38-0.117252-1.14880.12674
39-0.06821-0.66830.252767
400.0087330.08560.465995
410.0361780.35450.361881
420.0989330.96930.167406
430.1342031.31490.095835
440.1380071.35220.089746
450.1798311.7620.040628
460.2205352.16080.0166
470.2370872.3230.011146
480.3065083.00320.001703
490.260272.55010.006175
500.2144352.1010.019129
510.2050012.00860.023695
520.187661.83870.034526
530.1324521.29780.098739
540.1343731.31660.095557
550.082890.81220.209357
560.0239480.23460.407495
570.0171450.1680.433473
58-0.005525-0.05410.47847
59-0.030275-0.29660.383694
600.0198090.19410.423258

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.762181 & 7.4678 & 0 \tabularnewline
2 & 0.688631 & 6.7472 & 0 \tabularnewline
3 & 0.697603 & 6.8351 & 0 \tabularnewline
4 & 0.592363 & 5.8039 & 0 \tabularnewline
5 & 0.538463 & 5.2758 & 0 \tabularnewline
6 & 0.545297 & 5.3428 & 0 \tabularnewline
7 & 0.392917 & 3.8498 & 0.000107 \tabularnewline
8 & 0.342351 & 3.3543 & 0.00057 \tabularnewline
9 & 0.296089 & 2.9011 & 0.002306 \tabularnewline
10 & 0.172075 & 1.686 & 0.047523 \tabularnewline
11 & 0.174605 & 1.7108 & 0.045176 \tabularnewline
12 & 0.232208 & 2.2752 & 0.01256 \tabularnewline
13 & 0.063805 & 0.6252 & 0.266675 \tabularnewline
14 & 0.022161 & 0.2171 & 0.414282 \tabularnewline
15 & 0.015632 & 0.1532 & 0.439296 \tabularnewline
16 & -0.037081 & -0.3633 & 0.358584 \tabularnewline
17 & -0.031937 & -0.3129 & 0.377512 \tabularnewline
18 & -0.043657 & -0.4278 & 0.334895 \tabularnewline
19 & -0.114643 & -1.1233 & 0.132062 \tabularnewline
20 & -0.143631 & -1.4073 & 0.081285 \tabularnewline
21 & -0.199679 & -1.9564 & 0.026659 \tabularnewline
22 & -0.247169 & -2.4217 & 0.008662 \tabularnewline
23 & -0.201211 & -1.9715 & 0.025775 \tabularnewline
24 & -0.178334 & -1.7473 & 0.041891 \tabularnewline
25 & -0.24012 & -2.3527 & 0.01034 \tabularnewline
26 & -0.265715 & -2.6035 & 0.005347 \tabularnewline
27 & -0.240334 & -2.3548 & 0.010285 \tabularnewline
28 & -0.196987 & -1.9301 & 0.028275 \tabularnewline
29 & -0.164427 & -1.6111 & 0.055226 \tabularnewline
30 & -0.141049 & -1.382 & 0.08509 \tabularnewline
31 & -0.131927 & -1.2926 & 0.099624 \tabularnewline
32 & -0.156297 & -1.5314 & 0.064481 \tabularnewline
33 & -0.178936 & -1.7532 & 0.041379 \tabularnewline
34 & -0.160174 & -1.5694 & 0.059925 \tabularnewline
35 & -0.130214 & -1.2758 & 0.102547 \tabularnewline
36 & -0.083906 & -0.8221 & 0.206527 \tabularnewline
37 & -0.095504 & -0.9357 & 0.175876 \tabularnewline
38 & -0.117252 & -1.1488 & 0.12674 \tabularnewline
39 & -0.06821 & -0.6683 & 0.252767 \tabularnewline
40 & 0.008733 & 0.0856 & 0.465995 \tabularnewline
41 & 0.036178 & 0.3545 & 0.361881 \tabularnewline
42 & 0.098933 & 0.9693 & 0.167406 \tabularnewline
43 & 0.134203 & 1.3149 & 0.095835 \tabularnewline
44 & 0.138007 & 1.3522 & 0.089746 \tabularnewline
45 & 0.179831 & 1.762 & 0.040628 \tabularnewline
46 & 0.220535 & 2.1608 & 0.0166 \tabularnewline
47 & 0.237087 & 2.323 & 0.011146 \tabularnewline
48 & 0.306508 & 3.0032 & 0.001703 \tabularnewline
49 & 0.26027 & 2.5501 & 0.006175 \tabularnewline
50 & 0.214435 & 2.101 & 0.019129 \tabularnewline
51 & 0.205001 & 2.0086 & 0.023695 \tabularnewline
52 & 0.18766 & 1.8387 & 0.034526 \tabularnewline
53 & 0.132452 & 1.2978 & 0.098739 \tabularnewline
54 & 0.134373 & 1.3166 & 0.095557 \tabularnewline
55 & 0.08289 & 0.8122 & 0.209357 \tabularnewline
56 & 0.023948 & 0.2346 & 0.407495 \tabularnewline
57 & 0.017145 & 0.168 & 0.433473 \tabularnewline
58 & -0.005525 & -0.0541 & 0.47847 \tabularnewline
59 & -0.030275 & -0.2966 & 0.383694 \tabularnewline
60 & 0.019809 & 0.1941 & 0.423258 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225583&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]0.762181[/C][C]7.4678[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.688631[/C][C]6.7472[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.697603[/C][C]6.8351[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.592363[/C][C]5.8039[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.538463[/C][C]5.2758[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.545297[/C][C]5.3428[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.392917[/C][C]3.8498[/C][C]0.000107[/C][/ROW]
[ROW][C]8[/C][C]0.342351[/C][C]3.3543[/C][C]0.00057[/C][/ROW]
[ROW][C]9[/C][C]0.296089[/C][C]2.9011[/C][C]0.002306[/C][/ROW]
[ROW][C]10[/C][C]0.172075[/C][C]1.686[/C][C]0.047523[/C][/ROW]
[ROW][C]11[/C][C]0.174605[/C][C]1.7108[/C][C]0.045176[/C][/ROW]
[ROW][C]12[/C][C]0.232208[/C][C]2.2752[/C][C]0.01256[/C][/ROW]
[ROW][C]13[/C][C]0.063805[/C][C]0.6252[/C][C]0.266675[/C][/ROW]
[ROW][C]14[/C][C]0.022161[/C][C]0.2171[/C][C]0.414282[/C][/ROW]
[ROW][C]15[/C][C]0.015632[/C][C]0.1532[/C][C]0.439296[/C][/ROW]
[ROW][C]16[/C][C]-0.037081[/C][C]-0.3633[/C][C]0.358584[/C][/ROW]
[ROW][C]17[/C][C]-0.031937[/C][C]-0.3129[/C][C]0.377512[/C][/ROW]
[ROW][C]18[/C][C]-0.043657[/C][C]-0.4278[/C][C]0.334895[/C][/ROW]
[ROW][C]19[/C][C]-0.114643[/C][C]-1.1233[/C][C]0.132062[/C][/ROW]
[ROW][C]20[/C][C]-0.143631[/C][C]-1.4073[/C][C]0.081285[/C][/ROW]
[ROW][C]21[/C][C]-0.199679[/C][C]-1.9564[/C][C]0.026659[/C][/ROW]
[ROW][C]22[/C][C]-0.247169[/C][C]-2.4217[/C][C]0.008662[/C][/ROW]
[ROW][C]23[/C][C]-0.201211[/C][C]-1.9715[/C][C]0.025775[/C][/ROW]
[ROW][C]24[/C][C]-0.178334[/C][C]-1.7473[/C][C]0.041891[/C][/ROW]
[ROW][C]25[/C][C]-0.24012[/C][C]-2.3527[/C][C]0.01034[/C][/ROW]
[ROW][C]26[/C][C]-0.265715[/C][C]-2.6035[/C][C]0.005347[/C][/ROW]
[ROW][C]27[/C][C]-0.240334[/C][C]-2.3548[/C][C]0.010285[/C][/ROW]
[ROW][C]28[/C][C]-0.196987[/C][C]-1.9301[/C][C]0.028275[/C][/ROW]
[ROW][C]29[/C][C]-0.164427[/C][C]-1.6111[/C][C]0.055226[/C][/ROW]
[ROW][C]30[/C][C]-0.141049[/C][C]-1.382[/C][C]0.08509[/C][/ROW]
[ROW][C]31[/C][C]-0.131927[/C][C]-1.2926[/C][C]0.099624[/C][/ROW]
[ROW][C]32[/C][C]-0.156297[/C][C]-1.5314[/C][C]0.064481[/C][/ROW]
[ROW][C]33[/C][C]-0.178936[/C][C]-1.7532[/C][C]0.041379[/C][/ROW]
[ROW][C]34[/C][C]-0.160174[/C][C]-1.5694[/C][C]0.059925[/C][/ROW]
[ROW][C]35[/C][C]-0.130214[/C][C]-1.2758[/C][C]0.102547[/C][/ROW]
[ROW][C]36[/C][C]-0.083906[/C][C]-0.8221[/C][C]0.206527[/C][/ROW]
[ROW][C]37[/C][C]-0.095504[/C][C]-0.9357[/C][C]0.175876[/C][/ROW]
[ROW][C]38[/C][C]-0.117252[/C][C]-1.1488[/C][C]0.12674[/C][/ROW]
[ROW][C]39[/C][C]-0.06821[/C][C]-0.6683[/C][C]0.252767[/C][/ROW]
[ROW][C]40[/C][C]0.008733[/C][C]0.0856[/C][C]0.465995[/C][/ROW]
[ROW][C]41[/C][C]0.036178[/C][C]0.3545[/C][C]0.361881[/C][/ROW]
[ROW][C]42[/C][C]0.098933[/C][C]0.9693[/C][C]0.167406[/C][/ROW]
[ROW][C]43[/C][C]0.134203[/C][C]1.3149[/C][C]0.095835[/C][/ROW]
[ROW][C]44[/C][C]0.138007[/C][C]1.3522[/C][C]0.089746[/C][/ROW]
[ROW][C]45[/C][C]0.179831[/C][C]1.762[/C][C]0.040628[/C][/ROW]
[ROW][C]46[/C][C]0.220535[/C][C]2.1608[/C][C]0.0166[/C][/ROW]
[ROW][C]47[/C][C]0.237087[/C][C]2.323[/C][C]0.011146[/C][/ROW]
[ROW][C]48[/C][C]0.306508[/C][C]3.0032[/C][C]0.001703[/C][/ROW]
[ROW][C]49[/C][C]0.26027[/C][C]2.5501[/C][C]0.006175[/C][/ROW]
[ROW][C]50[/C][C]0.214435[/C][C]2.101[/C][C]0.019129[/C][/ROW]
[ROW][C]51[/C][C]0.205001[/C][C]2.0086[/C][C]0.023695[/C][/ROW]
[ROW][C]52[/C][C]0.18766[/C][C]1.8387[/C][C]0.034526[/C][/ROW]
[ROW][C]53[/C][C]0.132452[/C][C]1.2978[/C][C]0.098739[/C][/ROW]
[ROW][C]54[/C][C]0.134373[/C][C]1.3166[/C][C]0.095557[/C][/ROW]
[ROW][C]55[/C][C]0.08289[/C][C]0.8122[/C][C]0.209357[/C][/ROW]
[ROW][C]56[/C][C]0.023948[/C][C]0.2346[/C][C]0.407495[/C][/ROW]
[ROW][C]57[/C][C]0.017145[/C][C]0.168[/C][C]0.433473[/C][/ROW]
[ROW][C]58[/C][C]-0.005525[/C][C]-0.0541[/C][C]0.47847[/C][/ROW]
[ROW][C]59[/C][C]-0.030275[/C][C]-0.2966[/C][C]0.383694[/C][/ROW]
[ROW][C]60[/C][C]0.019809[/C][C]0.1941[/C][C]0.423258[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225583&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225583&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
10.7621817.46780
20.6886316.74720
30.6976036.83510
40.5923635.80390
50.5384635.27580
60.5452975.34280
70.3929173.84980.000107
80.3423513.35430.00057
90.2960892.90110.002306
100.1720751.6860.047523
110.1746051.71080.045176
120.2322082.27520.01256
130.0638050.62520.266675
140.0221610.21710.414282
150.0156320.15320.439296
16-0.037081-0.36330.358584
17-0.031937-0.31290.377512
18-0.043657-0.42780.334895
19-0.114643-1.12330.132062
20-0.143631-1.40730.081285
21-0.199679-1.95640.026659
22-0.247169-2.42170.008662
23-0.201211-1.97150.025775
24-0.178334-1.74730.041891
25-0.24012-2.35270.01034
26-0.265715-2.60350.005347
27-0.240334-2.35480.010285
28-0.196987-1.93010.028275
29-0.164427-1.61110.055226
30-0.141049-1.3820.08509
31-0.131927-1.29260.099624
32-0.156297-1.53140.064481
33-0.178936-1.75320.041379
34-0.160174-1.56940.059925
35-0.130214-1.27580.102547
36-0.083906-0.82210.206527
37-0.095504-0.93570.175876
38-0.117252-1.14880.12674
39-0.06821-0.66830.252767
400.0087330.08560.465995
410.0361780.35450.361881
420.0989330.96930.167406
430.1342031.31490.095835
440.1380071.35220.089746
450.1798311.7620.040628
460.2205352.16080.0166
470.2370872.3230.011146
480.3065083.00320.001703
490.260272.55010.006175
500.2144352.1010.019129
510.2050012.00860.023695
520.187661.83870.034526
530.1324521.29780.098739
540.1343731.31660.095557
550.082890.81220.209357
560.0239480.23460.407495
570.0171450.1680.433473
58-0.005525-0.05410.47847
59-0.030275-0.29660.383694
600.0198090.19410.423258







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.7621817.46780
20.2570162.51820.006724
30.2855072.79740.003113
4-0.09667-0.94720.172967
50.0040840.040.484083
60.1024651.00390.158965
7-0.274348-2.6880.004237
8-0.009526-0.09330.462917
9-0.099236-0.97230.166669
10-0.125294-1.22760.111295
110.1415391.38680.084358
120.2525512.47450.007549
13-0.276115-2.70540.004037
14-0.093339-0.91450.181365
15-0.032846-0.32180.374141
160.1070051.04840.148535
170.0238980.23410.407685
18-0.126211-1.23660.109625
190.0118680.11630.453834
20-0.151228-1.48170.070845
21-0.115846-1.13510.129589
220.0480820.47110.319315
230.0913680.89520.186454
240.0305440.29930.382689
25-0.002271-0.02230.491147
26-0.100796-0.98760.162916
270.1067441.04590.149123
280.1423911.39510.083096
29-0.022351-0.2190.413561
30-0.01229-0.12040.452204
31-0.101189-0.99140.161981
32-0.131072-1.28420.101075
33-0.062593-0.61330.270569
340.0131920.12930.448715
35-0.002375-0.02330.490741
360.1009180.98880.162626
370.0323770.31720.375881
380.105891.03750.151052
390.0986690.96680.168047
400.1211271.18680.119118
410.0557240.5460.293172
42-0.004896-0.0480.480919
43-0.053562-0.52480.300467
440.007530.07380.470671
450.0433870.42510.335857
46-0.052496-0.51440.304092
47-0.10911-1.06910.143863
480.0324890.31830.375464
49-0.03967-0.38870.349184
500.056710.55560.289874
51-0.107213-1.05050.14807
52-0.073658-0.72170.236116
53-0.10659-1.04440.14947
54-0.002534-0.02480.490123
550.0575880.56420.286951
56-0.018004-0.17640.430175
570.0054230.05310.478867
58-0.031028-0.3040.380888
59-0.063889-0.6260.266407
600.115791.13450.129704

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.762181 & 7.4678 & 0 \tabularnewline
2 & 0.257016 & 2.5182 & 0.006724 \tabularnewline
3 & 0.285507 & 2.7974 & 0.003113 \tabularnewline
4 & -0.09667 & -0.9472 & 0.172967 \tabularnewline
5 & 0.004084 & 0.04 & 0.484083 \tabularnewline
6 & 0.102465 & 1.0039 & 0.158965 \tabularnewline
7 & -0.274348 & -2.688 & 0.004237 \tabularnewline
8 & -0.009526 & -0.0933 & 0.462917 \tabularnewline
9 & -0.099236 & -0.9723 & 0.166669 \tabularnewline
10 & -0.125294 & -1.2276 & 0.111295 \tabularnewline
11 & 0.141539 & 1.3868 & 0.084358 \tabularnewline
12 & 0.252551 & 2.4745 & 0.007549 \tabularnewline
13 & -0.276115 & -2.7054 & 0.004037 \tabularnewline
14 & -0.093339 & -0.9145 & 0.181365 \tabularnewline
15 & -0.032846 & -0.3218 & 0.374141 \tabularnewline
16 & 0.107005 & 1.0484 & 0.148535 \tabularnewline
17 & 0.023898 & 0.2341 & 0.407685 \tabularnewline
18 & -0.126211 & -1.2366 & 0.109625 \tabularnewline
19 & 0.011868 & 0.1163 & 0.453834 \tabularnewline
20 & -0.151228 & -1.4817 & 0.070845 \tabularnewline
21 & -0.115846 & -1.1351 & 0.129589 \tabularnewline
22 & 0.048082 & 0.4711 & 0.319315 \tabularnewline
23 & 0.091368 & 0.8952 & 0.186454 \tabularnewline
24 & 0.030544 & 0.2993 & 0.382689 \tabularnewline
25 & -0.002271 & -0.0223 & 0.491147 \tabularnewline
26 & -0.100796 & -0.9876 & 0.162916 \tabularnewline
27 & 0.106744 & 1.0459 & 0.149123 \tabularnewline
28 & 0.142391 & 1.3951 & 0.083096 \tabularnewline
29 & -0.022351 & -0.219 & 0.413561 \tabularnewline
30 & -0.01229 & -0.1204 & 0.452204 \tabularnewline
31 & -0.101189 & -0.9914 & 0.161981 \tabularnewline
32 & -0.131072 & -1.2842 & 0.101075 \tabularnewline
33 & -0.062593 & -0.6133 & 0.270569 \tabularnewline
34 & 0.013192 & 0.1293 & 0.448715 \tabularnewline
35 & -0.002375 & -0.0233 & 0.490741 \tabularnewline
36 & 0.100918 & 0.9888 & 0.162626 \tabularnewline
37 & 0.032377 & 0.3172 & 0.375881 \tabularnewline
38 & 0.10589 & 1.0375 & 0.151052 \tabularnewline
39 & 0.098669 & 0.9668 & 0.168047 \tabularnewline
40 & 0.121127 & 1.1868 & 0.119118 \tabularnewline
41 & 0.055724 & 0.546 & 0.293172 \tabularnewline
42 & -0.004896 & -0.048 & 0.480919 \tabularnewline
43 & -0.053562 & -0.5248 & 0.300467 \tabularnewline
44 & 0.00753 & 0.0738 & 0.470671 \tabularnewline
45 & 0.043387 & 0.4251 & 0.335857 \tabularnewline
46 & -0.052496 & -0.5144 & 0.304092 \tabularnewline
47 & -0.10911 & -1.0691 & 0.143863 \tabularnewline
48 & 0.032489 & 0.3183 & 0.375464 \tabularnewline
49 & -0.03967 & -0.3887 & 0.349184 \tabularnewline
50 & 0.05671 & 0.5556 & 0.289874 \tabularnewline
51 & -0.107213 & -1.0505 & 0.14807 \tabularnewline
52 & -0.073658 & -0.7217 & 0.236116 \tabularnewline
53 & -0.10659 & -1.0444 & 0.14947 \tabularnewline
54 & -0.002534 & -0.0248 & 0.490123 \tabularnewline
55 & 0.057588 & 0.5642 & 0.286951 \tabularnewline
56 & -0.018004 & -0.1764 & 0.430175 \tabularnewline
57 & 0.005423 & 0.0531 & 0.478867 \tabularnewline
58 & -0.031028 & -0.304 & 0.380888 \tabularnewline
59 & -0.063889 & -0.626 & 0.266407 \tabularnewline
60 & 0.11579 & 1.1345 & 0.129704 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=225583&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]0.762181[/C][C]7.4678[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.257016[/C][C]2.5182[/C][C]0.006724[/C][/ROW]
[ROW][C]3[/C][C]0.285507[/C][C]2.7974[/C][C]0.003113[/C][/ROW]
[ROW][C]4[/C][C]-0.09667[/C][C]-0.9472[/C][C]0.172967[/C][/ROW]
[ROW][C]5[/C][C]0.004084[/C][C]0.04[/C][C]0.484083[/C][/ROW]
[ROW][C]6[/C][C]0.102465[/C][C]1.0039[/C][C]0.158965[/C][/ROW]
[ROW][C]7[/C][C]-0.274348[/C][C]-2.688[/C][C]0.004237[/C][/ROW]
[ROW][C]8[/C][C]-0.009526[/C][C]-0.0933[/C][C]0.462917[/C][/ROW]
[ROW][C]9[/C][C]-0.099236[/C][C]-0.9723[/C][C]0.166669[/C][/ROW]
[ROW][C]10[/C][C]-0.125294[/C][C]-1.2276[/C][C]0.111295[/C][/ROW]
[ROW][C]11[/C][C]0.141539[/C][C]1.3868[/C][C]0.084358[/C][/ROW]
[ROW][C]12[/C][C]0.252551[/C][C]2.4745[/C][C]0.007549[/C][/ROW]
[ROW][C]13[/C][C]-0.276115[/C][C]-2.7054[/C][C]0.004037[/C][/ROW]
[ROW][C]14[/C][C]-0.093339[/C][C]-0.9145[/C][C]0.181365[/C][/ROW]
[ROW][C]15[/C][C]-0.032846[/C][C]-0.3218[/C][C]0.374141[/C][/ROW]
[ROW][C]16[/C][C]0.107005[/C][C]1.0484[/C][C]0.148535[/C][/ROW]
[ROW][C]17[/C][C]0.023898[/C][C]0.2341[/C][C]0.407685[/C][/ROW]
[ROW][C]18[/C][C]-0.126211[/C][C]-1.2366[/C][C]0.109625[/C][/ROW]
[ROW][C]19[/C][C]0.011868[/C][C]0.1163[/C][C]0.453834[/C][/ROW]
[ROW][C]20[/C][C]-0.151228[/C][C]-1.4817[/C][C]0.070845[/C][/ROW]
[ROW][C]21[/C][C]-0.115846[/C][C]-1.1351[/C][C]0.129589[/C][/ROW]
[ROW][C]22[/C][C]0.048082[/C][C]0.4711[/C][C]0.319315[/C][/ROW]
[ROW][C]23[/C][C]0.091368[/C][C]0.8952[/C][C]0.186454[/C][/ROW]
[ROW][C]24[/C][C]0.030544[/C][C]0.2993[/C][C]0.382689[/C][/ROW]
[ROW][C]25[/C][C]-0.002271[/C][C]-0.0223[/C][C]0.491147[/C][/ROW]
[ROW][C]26[/C][C]-0.100796[/C][C]-0.9876[/C][C]0.162916[/C][/ROW]
[ROW][C]27[/C][C]0.106744[/C][C]1.0459[/C][C]0.149123[/C][/ROW]
[ROW][C]28[/C][C]0.142391[/C][C]1.3951[/C][C]0.083096[/C][/ROW]
[ROW][C]29[/C][C]-0.022351[/C][C]-0.219[/C][C]0.413561[/C][/ROW]
[ROW][C]30[/C][C]-0.01229[/C][C]-0.1204[/C][C]0.452204[/C][/ROW]
[ROW][C]31[/C][C]-0.101189[/C][C]-0.9914[/C][C]0.161981[/C][/ROW]
[ROW][C]32[/C][C]-0.131072[/C][C]-1.2842[/C][C]0.101075[/C][/ROW]
[ROW][C]33[/C][C]-0.062593[/C][C]-0.6133[/C][C]0.270569[/C][/ROW]
[ROW][C]34[/C][C]0.013192[/C][C]0.1293[/C][C]0.448715[/C][/ROW]
[ROW][C]35[/C][C]-0.002375[/C][C]-0.0233[/C][C]0.490741[/C][/ROW]
[ROW][C]36[/C][C]0.100918[/C][C]0.9888[/C][C]0.162626[/C][/ROW]
[ROW][C]37[/C][C]0.032377[/C][C]0.3172[/C][C]0.375881[/C][/ROW]
[ROW][C]38[/C][C]0.10589[/C][C]1.0375[/C][C]0.151052[/C][/ROW]
[ROW][C]39[/C][C]0.098669[/C][C]0.9668[/C][C]0.168047[/C][/ROW]
[ROW][C]40[/C][C]0.121127[/C][C]1.1868[/C][C]0.119118[/C][/ROW]
[ROW][C]41[/C][C]0.055724[/C][C]0.546[/C][C]0.293172[/C][/ROW]
[ROW][C]42[/C][C]-0.004896[/C][C]-0.048[/C][C]0.480919[/C][/ROW]
[ROW][C]43[/C][C]-0.053562[/C][C]-0.5248[/C][C]0.300467[/C][/ROW]
[ROW][C]44[/C][C]0.00753[/C][C]0.0738[/C][C]0.470671[/C][/ROW]
[ROW][C]45[/C][C]0.043387[/C][C]0.4251[/C][C]0.335857[/C][/ROW]
[ROW][C]46[/C][C]-0.052496[/C][C]-0.5144[/C][C]0.304092[/C][/ROW]
[ROW][C]47[/C][C]-0.10911[/C][C]-1.0691[/C][C]0.143863[/C][/ROW]
[ROW][C]48[/C][C]0.032489[/C][C]0.3183[/C][C]0.375464[/C][/ROW]
[ROW][C]49[/C][C]-0.03967[/C][C]-0.3887[/C][C]0.349184[/C][/ROW]
[ROW][C]50[/C][C]0.05671[/C][C]0.5556[/C][C]0.289874[/C][/ROW]
[ROW][C]51[/C][C]-0.107213[/C][C]-1.0505[/C][C]0.14807[/C][/ROW]
[ROW][C]52[/C][C]-0.073658[/C][C]-0.7217[/C][C]0.236116[/C][/ROW]
[ROW][C]53[/C][C]-0.10659[/C][C]-1.0444[/C][C]0.14947[/C][/ROW]
[ROW][C]54[/C][C]-0.002534[/C][C]-0.0248[/C][C]0.490123[/C][/ROW]
[ROW][C]55[/C][C]0.057588[/C][C]0.5642[/C][C]0.286951[/C][/ROW]
[ROW][C]56[/C][C]-0.018004[/C][C]-0.1764[/C][C]0.430175[/C][/ROW]
[ROW][C]57[/C][C]0.005423[/C][C]0.0531[/C][C]0.478867[/C][/ROW]
[ROW][C]58[/C][C]-0.031028[/C][C]-0.304[/C][C]0.380888[/C][/ROW]
[ROW][C]59[/C][C]-0.063889[/C][C]-0.626[/C][C]0.266407[/C][/ROW]
[ROW][C]60[/C][C]0.11579[/C][C]1.1345[/C][C]0.129704[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=225583&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=225583&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
10.7621817.46780
20.2570162.51820.006724
30.2855072.79740.003113
4-0.09667-0.94720.172967
50.0040840.040.484083
60.1024651.00390.158965
7-0.274348-2.6880.004237
8-0.009526-0.09330.462917
9-0.099236-0.97230.166669
10-0.125294-1.22760.111295
110.1415391.38680.084358
120.2525512.47450.007549
13-0.276115-2.70540.004037
14-0.093339-0.91450.181365
15-0.032846-0.32180.374141
160.1070051.04840.148535
170.0238980.23410.407685
18-0.126211-1.23660.109625
190.0118680.11630.453834
20-0.151228-1.48170.070845
21-0.115846-1.13510.129589
220.0480820.47110.319315
230.0913680.89520.186454
240.0305440.29930.382689
25-0.002271-0.02230.491147
26-0.100796-0.98760.162916
270.1067441.04590.149123
280.1423911.39510.083096
29-0.022351-0.2190.413561
30-0.01229-0.12040.452204
31-0.101189-0.99140.161981
32-0.131072-1.28420.101075
33-0.062593-0.61330.270569
340.0131920.12930.448715
35-0.002375-0.02330.490741
360.1009180.98880.162626
370.0323770.31720.375881
380.105891.03750.151052
390.0986690.96680.168047
400.1211271.18680.119118
410.0557240.5460.293172
42-0.004896-0.0480.480919
43-0.053562-0.52480.300467
440.007530.07380.470671
450.0433870.42510.335857
46-0.052496-0.51440.304092
47-0.10911-1.06910.143863
480.0324890.31830.375464
49-0.03967-0.38870.349184
500.056710.55560.289874
51-0.107213-1.05050.14807
52-0.073658-0.72170.236116
53-0.10659-1.04440.14947
54-0.002534-0.02480.490123
550.0575880.56420.286951
56-0.018004-0.17640.430175
570.0054230.05310.478867
58-0.031028-0.3040.380888
59-0.063889-0.6260.266407
600.115791.13450.129704



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):
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')