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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationMon, 02 Dec 2013 13:26:39 -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/Dec/02/t1386008864dntm4u0ce8q22af.htm/, Retrieved Tue, 23 Apr 2024 16:23:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=230052, Retrieved Tue, 23 Apr 2024 16:23:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [Autocorrelatie Aa...] [2013-11-18 09:07:59] [f7b841fbfb9aee7107966c768cf3d1a3]
-    D    [(Partial) Autocorrelation Function] [Autocorrelatie pr...] [2013-12-02 18:26:39] [45baafc513cf820e9f0a314ccf5f72d1] [Current]
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Dataseries X:
31,5
31,29
31,3
31,06
31,09
31,11
31,13
31,1
31,03
30,74
30,83
30,82
30,8
30,74
30,71
30,58
30,71
30,7
30,7
30,72
30,68
30,78
30,84
30,8
30,8
30,88
30,87
30,92
30,82
30,75
30,75
30,75
30,63
30,52
30,58
30,6
30,6
30,63
30,56
30,61
30,53
30,6
30,6
30,63
30,66
30,34
30,32
30,3
30,3
30,08
29,96
29,91
29,83
29,89
29,85
30,06
29,83
29,95
30,02
30,03
30,03
29,96
29,85
30,12
29,91
29,9
29,92
29,89
29,96
29,72
29,6
29,54
29,54
29,54
29,48
29,55
29,58
29,6
29,6
29,56
29,7
29,76
29,24
29,28




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 5 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230052&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230052&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230052&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 time5 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9262678.48940
20.8685077.960
30.8312347.61840
40.8018317.34890
50.7631886.99470
60.7181046.58150
70.6714366.15380
80.6311415.78450
90.5883455.39230
100.5578155.11251e-06
110.5276864.83633e-06
120.4978024.56249e-06
130.4666774.27722.5e-05
140.4361393.99736.9e-05
150.4139683.79410.000139
160.4080333.73970.000168
170.3935743.60720.000262
180.375633.44270.00045
190.3539923.24440.000845
200.3346393.0670.001454
210.3193922.92730.002199
220.2845292.60770.005392
230.2507492.29810.012019
240.2214652.02980.022773
250.1915491.75560.041403
260.1583711.45150.075183
270.118421.08530.140438
280.0761050.69750.243703
290.0486990.44630.328253
300.0156740.14370.443057
31-0.016304-0.14940.440786
32-0.051278-0.470.319798
33-0.081504-0.7470.228577
34-0.108756-0.99680.160872
35-0.133554-1.2240.112179
36-0.14507-1.32960.093627
37-0.1627-1.49120.069831
38-0.191996-1.75970.041052
39-0.217311-1.99170.024827
40-0.231908-2.12550.018242
41-0.241661-2.21490.014739
42-0.260199-2.38480.009671
43-0.284318-2.60580.00542
44-0.311166-2.85190.002734
45-0.338838-3.10550.001295
46-0.352846-3.23390.000873
47-0.362065-3.31840.00067
48-0.376175-3.44770.000443
49-0.386012-3.53790.00033
50-0.39033-3.57740.00029
51-0.393308-3.60470.000264
52-0.389853-3.57310.000294
53-0.374738-3.43450.000462
54-0.367715-3.37020.000568
55-0.355288-3.25630.000814
56-0.352398-3.22980.000884
57-0.335251-3.07260.00143
58-0.323802-2.96770.001954
59-0.316495-2.90070.002376
60-0.315104-2.8880.002465

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.926267 & 8.4894 & 0 \tabularnewline
2 & 0.868507 & 7.96 & 0 \tabularnewline
3 & 0.831234 & 7.6184 & 0 \tabularnewline
4 & 0.801831 & 7.3489 & 0 \tabularnewline
5 & 0.763188 & 6.9947 & 0 \tabularnewline
6 & 0.718104 & 6.5815 & 0 \tabularnewline
7 & 0.671436 & 6.1538 & 0 \tabularnewline
8 & 0.631141 & 5.7845 & 0 \tabularnewline
9 & 0.588345 & 5.3923 & 0 \tabularnewline
10 & 0.557815 & 5.1125 & 1e-06 \tabularnewline
11 & 0.527686 & 4.8363 & 3e-06 \tabularnewline
12 & 0.497802 & 4.5624 & 9e-06 \tabularnewline
13 & 0.466677 & 4.2772 & 2.5e-05 \tabularnewline
14 & 0.436139 & 3.9973 & 6.9e-05 \tabularnewline
15 & 0.413968 & 3.7941 & 0.000139 \tabularnewline
16 & 0.408033 & 3.7397 & 0.000168 \tabularnewline
17 & 0.393574 & 3.6072 & 0.000262 \tabularnewline
18 & 0.37563 & 3.4427 & 0.00045 \tabularnewline
19 & 0.353992 & 3.2444 & 0.000845 \tabularnewline
20 & 0.334639 & 3.067 & 0.001454 \tabularnewline
21 & 0.319392 & 2.9273 & 0.002199 \tabularnewline
22 & 0.284529 & 2.6077 & 0.005392 \tabularnewline
23 & 0.250749 & 2.2981 & 0.012019 \tabularnewline
24 & 0.221465 & 2.0298 & 0.022773 \tabularnewline
25 & 0.191549 & 1.7556 & 0.041403 \tabularnewline
26 & 0.158371 & 1.4515 & 0.075183 \tabularnewline
27 & 0.11842 & 1.0853 & 0.140438 \tabularnewline
28 & 0.076105 & 0.6975 & 0.243703 \tabularnewline
29 & 0.048699 & 0.4463 & 0.328253 \tabularnewline
30 & 0.015674 & 0.1437 & 0.443057 \tabularnewline
31 & -0.016304 & -0.1494 & 0.440786 \tabularnewline
32 & -0.051278 & -0.47 & 0.319798 \tabularnewline
33 & -0.081504 & -0.747 & 0.228577 \tabularnewline
34 & -0.108756 & -0.9968 & 0.160872 \tabularnewline
35 & -0.133554 & -1.224 & 0.112179 \tabularnewline
36 & -0.14507 & -1.3296 & 0.093627 \tabularnewline
37 & -0.1627 & -1.4912 & 0.069831 \tabularnewline
38 & -0.191996 & -1.7597 & 0.041052 \tabularnewline
39 & -0.217311 & -1.9917 & 0.024827 \tabularnewline
40 & -0.231908 & -2.1255 & 0.018242 \tabularnewline
41 & -0.241661 & -2.2149 & 0.014739 \tabularnewline
42 & -0.260199 & -2.3848 & 0.009671 \tabularnewline
43 & -0.284318 & -2.6058 & 0.00542 \tabularnewline
44 & -0.311166 & -2.8519 & 0.002734 \tabularnewline
45 & -0.338838 & -3.1055 & 0.001295 \tabularnewline
46 & -0.352846 & -3.2339 & 0.000873 \tabularnewline
47 & -0.362065 & -3.3184 & 0.00067 \tabularnewline
48 & -0.376175 & -3.4477 & 0.000443 \tabularnewline
49 & -0.386012 & -3.5379 & 0.00033 \tabularnewline
50 & -0.39033 & -3.5774 & 0.00029 \tabularnewline
51 & -0.393308 & -3.6047 & 0.000264 \tabularnewline
52 & -0.389853 & -3.5731 & 0.000294 \tabularnewline
53 & -0.374738 & -3.4345 & 0.000462 \tabularnewline
54 & -0.367715 & -3.3702 & 0.000568 \tabularnewline
55 & -0.355288 & -3.2563 & 0.000814 \tabularnewline
56 & -0.352398 & -3.2298 & 0.000884 \tabularnewline
57 & -0.335251 & -3.0726 & 0.00143 \tabularnewline
58 & -0.323802 & -2.9677 & 0.001954 \tabularnewline
59 & -0.316495 & -2.9007 & 0.002376 \tabularnewline
60 & -0.315104 & -2.888 & 0.002465 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230052&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]0.926267[/C][C]8.4894[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.868507[/C][C]7.96[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.831234[/C][C]7.6184[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.801831[/C][C]7.3489[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.763188[/C][C]6.9947[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.718104[/C][C]6.5815[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.671436[/C][C]6.1538[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.631141[/C][C]5.7845[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.588345[/C][C]5.3923[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.557815[/C][C]5.1125[/C][C]1e-06[/C][/ROW]
[ROW][C]11[/C][C]0.527686[/C][C]4.8363[/C][C]3e-06[/C][/ROW]
[ROW][C]12[/C][C]0.497802[/C][C]4.5624[/C][C]9e-06[/C][/ROW]
[ROW][C]13[/C][C]0.466677[/C][C]4.2772[/C][C]2.5e-05[/C][/ROW]
[ROW][C]14[/C][C]0.436139[/C][C]3.9973[/C][C]6.9e-05[/C][/ROW]
[ROW][C]15[/C][C]0.413968[/C][C]3.7941[/C][C]0.000139[/C][/ROW]
[ROW][C]16[/C][C]0.408033[/C][C]3.7397[/C][C]0.000168[/C][/ROW]
[ROW][C]17[/C][C]0.393574[/C][C]3.6072[/C][C]0.000262[/C][/ROW]
[ROW][C]18[/C][C]0.37563[/C][C]3.4427[/C][C]0.00045[/C][/ROW]
[ROW][C]19[/C][C]0.353992[/C][C]3.2444[/C][C]0.000845[/C][/ROW]
[ROW][C]20[/C][C]0.334639[/C][C]3.067[/C][C]0.001454[/C][/ROW]
[ROW][C]21[/C][C]0.319392[/C][C]2.9273[/C][C]0.002199[/C][/ROW]
[ROW][C]22[/C][C]0.284529[/C][C]2.6077[/C][C]0.005392[/C][/ROW]
[ROW][C]23[/C][C]0.250749[/C][C]2.2981[/C][C]0.012019[/C][/ROW]
[ROW][C]24[/C][C]0.221465[/C][C]2.0298[/C][C]0.022773[/C][/ROW]
[ROW][C]25[/C][C]0.191549[/C][C]1.7556[/C][C]0.041403[/C][/ROW]
[ROW][C]26[/C][C]0.158371[/C][C]1.4515[/C][C]0.075183[/C][/ROW]
[ROW][C]27[/C][C]0.11842[/C][C]1.0853[/C][C]0.140438[/C][/ROW]
[ROW][C]28[/C][C]0.076105[/C][C]0.6975[/C][C]0.243703[/C][/ROW]
[ROW][C]29[/C][C]0.048699[/C][C]0.4463[/C][C]0.328253[/C][/ROW]
[ROW][C]30[/C][C]0.015674[/C][C]0.1437[/C][C]0.443057[/C][/ROW]
[ROW][C]31[/C][C]-0.016304[/C][C]-0.1494[/C][C]0.440786[/C][/ROW]
[ROW][C]32[/C][C]-0.051278[/C][C]-0.47[/C][C]0.319798[/C][/ROW]
[ROW][C]33[/C][C]-0.081504[/C][C]-0.747[/C][C]0.228577[/C][/ROW]
[ROW][C]34[/C][C]-0.108756[/C][C]-0.9968[/C][C]0.160872[/C][/ROW]
[ROW][C]35[/C][C]-0.133554[/C][C]-1.224[/C][C]0.112179[/C][/ROW]
[ROW][C]36[/C][C]-0.14507[/C][C]-1.3296[/C][C]0.093627[/C][/ROW]
[ROW][C]37[/C][C]-0.1627[/C][C]-1.4912[/C][C]0.069831[/C][/ROW]
[ROW][C]38[/C][C]-0.191996[/C][C]-1.7597[/C][C]0.041052[/C][/ROW]
[ROW][C]39[/C][C]-0.217311[/C][C]-1.9917[/C][C]0.024827[/C][/ROW]
[ROW][C]40[/C][C]-0.231908[/C][C]-2.1255[/C][C]0.018242[/C][/ROW]
[ROW][C]41[/C][C]-0.241661[/C][C]-2.2149[/C][C]0.014739[/C][/ROW]
[ROW][C]42[/C][C]-0.260199[/C][C]-2.3848[/C][C]0.009671[/C][/ROW]
[ROW][C]43[/C][C]-0.284318[/C][C]-2.6058[/C][C]0.00542[/C][/ROW]
[ROW][C]44[/C][C]-0.311166[/C][C]-2.8519[/C][C]0.002734[/C][/ROW]
[ROW][C]45[/C][C]-0.338838[/C][C]-3.1055[/C][C]0.001295[/C][/ROW]
[ROW][C]46[/C][C]-0.352846[/C][C]-3.2339[/C][C]0.000873[/C][/ROW]
[ROW][C]47[/C][C]-0.362065[/C][C]-3.3184[/C][C]0.00067[/C][/ROW]
[ROW][C]48[/C][C]-0.376175[/C][C]-3.4477[/C][C]0.000443[/C][/ROW]
[ROW][C]49[/C][C]-0.386012[/C][C]-3.5379[/C][C]0.00033[/C][/ROW]
[ROW][C]50[/C][C]-0.39033[/C][C]-3.5774[/C][C]0.00029[/C][/ROW]
[ROW][C]51[/C][C]-0.393308[/C][C]-3.6047[/C][C]0.000264[/C][/ROW]
[ROW][C]52[/C][C]-0.389853[/C][C]-3.5731[/C][C]0.000294[/C][/ROW]
[ROW][C]53[/C][C]-0.374738[/C][C]-3.4345[/C][C]0.000462[/C][/ROW]
[ROW][C]54[/C][C]-0.367715[/C][C]-3.3702[/C][C]0.000568[/C][/ROW]
[ROW][C]55[/C][C]-0.355288[/C][C]-3.2563[/C][C]0.000814[/C][/ROW]
[ROW][C]56[/C][C]-0.352398[/C][C]-3.2298[/C][C]0.000884[/C][/ROW]
[ROW][C]57[/C][C]-0.335251[/C][C]-3.0726[/C][C]0.00143[/C][/ROW]
[ROW][C]58[/C][C]-0.323802[/C][C]-2.9677[/C][C]0.001954[/C][/ROW]
[ROW][C]59[/C][C]-0.316495[/C][C]-2.9007[/C][C]0.002376[/C][/ROW]
[ROW][C]60[/C][C]-0.315104[/C][C]-2.888[/C][C]0.002465[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230052&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230052&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
10.9262678.48940
20.8685077.960
30.8312347.61840
40.8018317.34890
50.7631886.99470
60.7181046.58150
70.6714366.15380
80.6311415.78450
90.5883455.39230
100.5578155.11251e-06
110.5276864.83633e-06
120.4978024.56249e-06
130.4666774.27722.5e-05
140.4361393.99736.9e-05
150.4139683.79410.000139
160.4080333.73970.000168
170.3935743.60720.000262
180.375633.44270.00045
190.3539923.24440.000845
200.3346393.0670.001454
210.3193922.92730.002199
220.2845292.60770.005392
230.2507492.29810.012019
240.2214652.02980.022773
250.1915491.75560.041403
260.1583711.45150.075183
270.118421.08530.140438
280.0761050.69750.243703
290.0486990.44630.328253
300.0156740.14370.443057
31-0.016304-0.14940.440786
32-0.051278-0.470.319798
33-0.081504-0.7470.228577
34-0.108756-0.99680.160872
35-0.133554-1.2240.112179
36-0.14507-1.32960.093627
37-0.1627-1.49120.069831
38-0.191996-1.75970.041052
39-0.217311-1.99170.024827
40-0.231908-2.12550.018242
41-0.241661-2.21490.014739
42-0.260199-2.38480.009671
43-0.284318-2.60580.00542
44-0.311166-2.85190.002734
45-0.338838-3.10550.001295
46-0.352846-3.23390.000873
47-0.362065-3.31840.00067
48-0.376175-3.44770.000443
49-0.386012-3.53790.00033
50-0.39033-3.57740.00029
51-0.393308-3.60470.000264
52-0.389853-3.57310.000294
53-0.374738-3.43450.000462
54-0.367715-3.37020.000568
55-0.355288-3.25630.000814
56-0.352398-3.22980.000884
57-0.335251-3.07260.00143
58-0.323802-2.96770.001954
59-0.316495-2.90070.002376
60-0.315104-2.8880.002465







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9262678.48940
20.0741850.67990.249214
30.1255171.15040.126626
40.0685920.62870.265639
5-0.044592-0.40870.341904
6-0.058318-0.53450.297207
7-0.056211-0.51520.303891
8-0.005653-0.05180.4794
9-0.045069-0.41310.340305
100.0685890.62860.26565
110.0083460.07650.469606
120.0085670.07850.468802
13-0.011045-0.10120.459804
14-0.020982-0.19230.423983
150.0327760.30040.382309
160.1078090.98810.162974
17-0.019686-0.18040.428627
18-0.007433-0.06810.472923
19-0.03839-0.35190.362915
20-0.030272-0.27740.391059
21-0.00195-0.01790.492891
22-0.153366-1.40560.081762
23-0.032874-0.30130.381966
24-0.021065-0.19310.423688
25-0.018569-0.17020.432637
26-0.033883-0.31050.378458
27-0.069054-0.63290.264262
28-0.066443-0.6090.272097
290.0494050.45280.325928
30-0.039217-0.35940.360086
31-0.010466-0.09590.461905
32-0.052275-0.47910.316552
33-0.015007-0.13750.445466
34-0.021286-0.19510.422896
35-0.013718-0.12570.450125
360.0723770.66330.254463
37-0.079268-0.72650.234774
38-0.075583-0.69270.245196
39-0.030088-0.27580.391705
400.0220140.20180.420296
410.0081340.07460.470374
42-0.068841-0.63090.264896
43-0.033569-0.30770.37955
44-0.053883-0.49380.311352
45-0.071421-0.65460.257263
460.0520640.47720.317239
470.014380.13180.44773
48-0.002643-0.02420.490365
490.0567850.52040.302063
500.0219180.20090.42064
510.0183350.1680.433477
520.014120.12940.44867
530.0883730.810.210128
54-0.039027-0.35770.360736
550.0649350.59510.276674
56-0.068438-0.62720.2661
570.0455570.41750.338675
58-0.046522-0.42640.335462
59-0.01964-0.180.42879
60-0.056308-0.51610.303579

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.926267 & 8.4894 & 0 \tabularnewline
2 & 0.074185 & 0.6799 & 0.249214 \tabularnewline
3 & 0.125517 & 1.1504 & 0.126626 \tabularnewline
4 & 0.068592 & 0.6287 & 0.265639 \tabularnewline
5 & -0.044592 & -0.4087 & 0.341904 \tabularnewline
6 & -0.058318 & -0.5345 & 0.297207 \tabularnewline
7 & -0.056211 & -0.5152 & 0.303891 \tabularnewline
8 & -0.005653 & -0.0518 & 0.4794 \tabularnewline
9 & -0.045069 & -0.4131 & 0.340305 \tabularnewline
10 & 0.068589 & 0.6286 & 0.26565 \tabularnewline
11 & 0.008346 & 0.0765 & 0.469606 \tabularnewline
12 & 0.008567 & 0.0785 & 0.468802 \tabularnewline
13 & -0.011045 & -0.1012 & 0.459804 \tabularnewline
14 & -0.020982 & -0.1923 & 0.423983 \tabularnewline
15 & 0.032776 & 0.3004 & 0.382309 \tabularnewline
16 & 0.107809 & 0.9881 & 0.162974 \tabularnewline
17 & -0.019686 & -0.1804 & 0.428627 \tabularnewline
18 & -0.007433 & -0.0681 & 0.472923 \tabularnewline
19 & -0.03839 & -0.3519 & 0.362915 \tabularnewline
20 & -0.030272 & -0.2774 & 0.391059 \tabularnewline
21 & -0.00195 & -0.0179 & 0.492891 \tabularnewline
22 & -0.153366 & -1.4056 & 0.081762 \tabularnewline
23 & -0.032874 & -0.3013 & 0.381966 \tabularnewline
24 & -0.021065 & -0.1931 & 0.423688 \tabularnewline
25 & -0.018569 & -0.1702 & 0.432637 \tabularnewline
26 & -0.033883 & -0.3105 & 0.378458 \tabularnewline
27 & -0.069054 & -0.6329 & 0.264262 \tabularnewline
28 & -0.066443 & -0.609 & 0.272097 \tabularnewline
29 & 0.049405 & 0.4528 & 0.325928 \tabularnewline
30 & -0.039217 & -0.3594 & 0.360086 \tabularnewline
31 & -0.010466 & -0.0959 & 0.461905 \tabularnewline
32 & -0.052275 & -0.4791 & 0.316552 \tabularnewline
33 & -0.015007 & -0.1375 & 0.445466 \tabularnewline
34 & -0.021286 & -0.1951 & 0.422896 \tabularnewline
35 & -0.013718 & -0.1257 & 0.450125 \tabularnewline
36 & 0.072377 & 0.6633 & 0.254463 \tabularnewline
37 & -0.079268 & -0.7265 & 0.234774 \tabularnewline
38 & -0.075583 & -0.6927 & 0.245196 \tabularnewline
39 & -0.030088 & -0.2758 & 0.391705 \tabularnewline
40 & 0.022014 & 0.2018 & 0.420296 \tabularnewline
41 & 0.008134 & 0.0746 & 0.470374 \tabularnewline
42 & -0.068841 & -0.6309 & 0.264896 \tabularnewline
43 & -0.033569 & -0.3077 & 0.37955 \tabularnewline
44 & -0.053883 & -0.4938 & 0.311352 \tabularnewline
45 & -0.071421 & -0.6546 & 0.257263 \tabularnewline
46 & 0.052064 & 0.4772 & 0.317239 \tabularnewline
47 & 0.01438 & 0.1318 & 0.44773 \tabularnewline
48 & -0.002643 & -0.0242 & 0.490365 \tabularnewline
49 & 0.056785 & 0.5204 & 0.302063 \tabularnewline
50 & 0.021918 & 0.2009 & 0.42064 \tabularnewline
51 & 0.018335 & 0.168 & 0.433477 \tabularnewline
52 & 0.01412 & 0.1294 & 0.44867 \tabularnewline
53 & 0.088373 & 0.81 & 0.210128 \tabularnewline
54 & -0.039027 & -0.3577 & 0.360736 \tabularnewline
55 & 0.064935 & 0.5951 & 0.276674 \tabularnewline
56 & -0.068438 & -0.6272 & 0.2661 \tabularnewline
57 & 0.045557 & 0.4175 & 0.338675 \tabularnewline
58 & -0.046522 & -0.4264 & 0.335462 \tabularnewline
59 & -0.01964 & -0.18 & 0.42879 \tabularnewline
60 & -0.056308 & -0.5161 & 0.303579 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=230052&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]0.926267[/C][C]8.4894[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.074185[/C][C]0.6799[/C][C]0.249214[/C][/ROW]
[ROW][C]3[/C][C]0.125517[/C][C]1.1504[/C][C]0.126626[/C][/ROW]
[ROW][C]4[/C][C]0.068592[/C][C]0.6287[/C][C]0.265639[/C][/ROW]
[ROW][C]5[/C][C]-0.044592[/C][C]-0.4087[/C][C]0.341904[/C][/ROW]
[ROW][C]6[/C][C]-0.058318[/C][C]-0.5345[/C][C]0.297207[/C][/ROW]
[ROW][C]7[/C][C]-0.056211[/C][C]-0.5152[/C][C]0.303891[/C][/ROW]
[ROW][C]8[/C][C]-0.005653[/C][C]-0.0518[/C][C]0.4794[/C][/ROW]
[ROW][C]9[/C][C]-0.045069[/C][C]-0.4131[/C][C]0.340305[/C][/ROW]
[ROW][C]10[/C][C]0.068589[/C][C]0.6286[/C][C]0.26565[/C][/ROW]
[ROW][C]11[/C][C]0.008346[/C][C]0.0765[/C][C]0.469606[/C][/ROW]
[ROW][C]12[/C][C]0.008567[/C][C]0.0785[/C][C]0.468802[/C][/ROW]
[ROW][C]13[/C][C]-0.011045[/C][C]-0.1012[/C][C]0.459804[/C][/ROW]
[ROW][C]14[/C][C]-0.020982[/C][C]-0.1923[/C][C]0.423983[/C][/ROW]
[ROW][C]15[/C][C]0.032776[/C][C]0.3004[/C][C]0.382309[/C][/ROW]
[ROW][C]16[/C][C]0.107809[/C][C]0.9881[/C][C]0.162974[/C][/ROW]
[ROW][C]17[/C][C]-0.019686[/C][C]-0.1804[/C][C]0.428627[/C][/ROW]
[ROW][C]18[/C][C]-0.007433[/C][C]-0.0681[/C][C]0.472923[/C][/ROW]
[ROW][C]19[/C][C]-0.03839[/C][C]-0.3519[/C][C]0.362915[/C][/ROW]
[ROW][C]20[/C][C]-0.030272[/C][C]-0.2774[/C][C]0.391059[/C][/ROW]
[ROW][C]21[/C][C]-0.00195[/C][C]-0.0179[/C][C]0.492891[/C][/ROW]
[ROW][C]22[/C][C]-0.153366[/C][C]-1.4056[/C][C]0.081762[/C][/ROW]
[ROW][C]23[/C][C]-0.032874[/C][C]-0.3013[/C][C]0.381966[/C][/ROW]
[ROW][C]24[/C][C]-0.021065[/C][C]-0.1931[/C][C]0.423688[/C][/ROW]
[ROW][C]25[/C][C]-0.018569[/C][C]-0.1702[/C][C]0.432637[/C][/ROW]
[ROW][C]26[/C][C]-0.033883[/C][C]-0.3105[/C][C]0.378458[/C][/ROW]
[ROW][C]27[/C][C]-0.069054[/C][C]-0.6329[/C][C]0.264262[/C][/ROW]
[ROW][C]28[/C][C]-0.066443[/C][C]-0.609[/C][C]0.272097[/C][/ROW]
[ROW][C]29[/C][C]0.049405[/C][C]0.4528[/C][C]0.325928[/C][/ROW]
[ROW][C]30[/C][C]-0.039217[/C][C]-0.3594[/C][C]0.360086[/C][/ROW]
[ROW][C]31[/C][C]-0.010466[/C][C]-0.0959[/C][C]0.461905[/C][/ROW]
[ROW][C]32[/C][C]-0.052275[/C][C]-0.4791[/C][C]0.316552[/C][/ROW]
[ROW][C]33[/C][C]-0.015007[/C][C]-0.1375[/C][C]0.445466[/C][/ROW]
[ROW][C]34[/C][C]-0.021286[/C][C]-0.1951[/C][C]0.422896[/C][/ROW]
[ROW][C]35[/C][C]-0.013718[/C][C]-0.1257[/C][C]0.450125[/C][/ROW]
[ROW][C]36[/C][C]0.072377[/C][C]0.6633[/C][C]0.254463[/C][/ROW]
[ROW][C]37[/C][C]-0.079268[/C][C]-0.7265[/C][C]0.234774[/C][/ROW]
[ROW][C]38[/C][C]-0.075583[/C][C]-0.6927[/C][C]0.245196[/C][/ROW]
[ROW][C]39[/C][C]-0.030088[/C][C]-0.2758[/C][C]0.391705[/C][/ROW]
[ROW][C]40[/C][C]0.022014[/C][C]0.2018[/C][C]0.420296[/C][/ROW]
[ROW][C]41[/C][C]0.008134[/C][C]0.0746[/C][C]0.470374[/C][/ROW]
[ROW][C]42[/C][C]-0.068841[/C][C]-0.6309[/C][C]0.264896[/C][/ROW]
[ROW][C]43[/C][C]-0.033569[/C][C]-0.3077[/C][C]0.37955[/C][/ROW]
[ROW][C]44[/C][C]-0.053883[/C][C]-0.4938[/C][C]0.311352[/C][/ROW]
[ROW][C]45[/C][C]-0.071421[/C][C]-0.6546[/C][C]0.257263[/C][/ROW]
[ROW][C]46[/C][C]0.052064[/C][C]0.4772[/C][C]0.317239[/C][/ROW]
[ROW][C]47[/C][C]0.01438[/C][C]0.1318[/C][C]0.44773[/C][/ROW]
[ROW][C]48[/C][C]-0.002643[/C][C]-0.0242[/C][C]0.490365[/C][/ROW]
[ROW][C]49[/C][C]0.056785[/C][C]0.5204[/C][C]0.302063[/C][/ROW]
[ROW][C]50[/C][C]0.021918[/C][C]0.2009[/C][C]0.42064[/C][/ROW]
[ROW][C]51[/C][C]0.018335[/C][C]0.168[/C][C]0.433477[/C][/ROW]
[ROW][C]52[/C][C]0.01412[/C][C]0.1294[/C][C]0.44867[/C][/ROW]
[ROW][C]53[/C][C]0.088373[/C][C]0.81[/C][C]0.210128[/C][/ROW]
[ROW][C]54[/C][C]-0.039027[/C][C]-0.3577[/C][C]0.360736[/C][/ROW]
[ROW][C]55[/C][C]0.064935[/C][C]0.5951[/C][C]0.276674[/C][/ROW]
[ROW][C]56[/C][C]-0.068438[/C][C]-0.6272[/C][C]0.2661[/C][/ROW]
[ROW][C]57[/C][C]0.045557[/C][C]0.4175[/C][C]0.338675[/C][/ROW]
[ROW][C]58[/C][C]-0.046522[/C][C]-0.4264[/C][C]0.335462[/C][/ROW]
[ROW][C]59[/C][C]-0.01964[/C][C]-0.18[/C][C]0.42879[/C][/ROW]
[ROW][C]60[/C][C]-0.056308[/C][C]-0.5161[/C][C]0.303579[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=230052&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=230052&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
10.9262678.48940
20.0741850.67990.249214
30.1255171.15040.126626
40.0685920.62870.265639
5-0.044592-0.40870.341904
6-0.058318-0.53450.297207
7-0.056211-0.51520.303891
8-0.005653-0.05180.4794
9-0.045069-0.41310.340305
100.0685890.62860.26565
110.0083460.07650.469606
120.0085670.07850.468802
13-0.011045-0.10120.459804
14-0.020982-0.19230.423983
150.0327760.30040.382309
160.1078090.98810.162974
17-0.019686-0.18040.428627
18-0.007433-0.06810.472923
19-0.03839-0.35190.362915
20-0.030272-0.27740.391059
21-0.00195-0.01790.492891
22-0.153366-1.40560.081762
23-0.032874-0.30130.381966
24-0.021065-0.19310.423688
25-0.018569-0.17020.432637
26-0.033883-0.31050.378458
27-0.069054-0.63290.264262
28-0.066443-0.6090.272097
290.0494050.45280.325928
30-0.039217-0.35940.360086
31-0.010466-0.09590.461905
32-0.052275-0.47910.316552
33-0.015007-0.13750.445466
34-0.021286-0.19510.422896
35-0.013718-0.12570.450125
360.0723770.66330.254463
37-0.079268-0.72650.234774
38-0.075583-0.69270.245196
39-0.030088-0.27580.391705
400.0220140.20180.420296
410.0081340.07460.470374
42-0.068841-0.63090.264896
43-0.033569-0.30770.37955
44-0.053883-0.49380.311352
45-0.071421-0.65460.257263
460.0520640.47720.317239
470.014380.13180.44773
48-0.002643-0.02420.490365
490.0567850.52040.302063
500.0219180.20090.42064
510.0183350.1680.433477
520.014120.12940.44867
530.0883730.810.210128
54-0.039027-0.35770.360736
550.0649350.59510.276674
56-0.068438-0.62720.2661
570.0455570.41750.338675
58-0.046522-0.42640.335462
59-0.01964-0.180.42879
60-0.056308-0.51610.303579



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')