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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, 13 Aug 2012 10:18:41 -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/2012/Aug/13/t1344867591un4org7jk58gjtv.htm/, Retrieved Sat, 27 Apr 2024 21:06:16 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=169288, Retrieved Sat, 27 Apr 2024 21:06:16 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsBelis Olivier
Estimated Impact147
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [TIJDREEKS A - STA...] [2012-08-13 14:18:41] [606e5654d317e57bd58e5a48c9e4e9a9] [Current]
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Dataseries X:
19064
18993
18921
18772
20246
20168
19064
18330
18401
18401
18480
18622
18843
18843
18701
18330
20246
20538
20097
19064
19506
18843
19142
19285
19434
19064
19142
18622
20246
20759
20318
19506
20389
19434
20318
20246
20467
19655
20538
20467
21792
21493
20318
19726
20538
19434
20246
20389
20688
20026
20389
20610
21422
20759
19876
18921
19805
17375
18551
19213
19876
18921
18921
18921
19434
18701
17739
16934
17518
15238
16635
17447
17596
16784
16855
16635
17375
16855
15830
15089
16342
13621
15388
16193
16193
15238
14355
14284
15089
14355
12959
11997
13030
10601
12809
13984
14355
13543
12517
13251
13543
13322
11113
10088
10821
8613
10893
11705
12367
11263
10230
10821
11113
10529
8321
7359
8242
5813
8463
10088




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'AstonUniversity' @ aston.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 & 1 seconds \tabularnewline
R Server & 'AstonUniversity' @ aston.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169288&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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'AstonUniversity' @ aston.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169288&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169288&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 time1 seconds
R Server'AstonUniversity' @ aston.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.94790310.38380
20.9052669.91670
30.8557299.3740
40.8262069.05060
50.785688.60670
60.7579688.30310
70.7361898.06450
80.7236547.92720
90.7031827.7030
100.6921027.58160
110.6875717.5320
120.7001337.66960
130.647967.0980
140.6088366.66950
150.5635126.1730
160.5363635.87560
170.4979735.4550
180.4738355.19060
190.4526914.9591e-06
200.440014.82012e-06
210.4182934.58226e-06
220.4033944.4191.1e-05
230.3933244.30871.7e-05
240.3968984.34781.4e-05
250.3480743.8130.000109
260.3117633.41520.000435
270.2687162.94360.001948
280.243362.66590.004369
290.2063782.26080.012788
300.1844192.02020.022794
310.1603371.75640.040785
320.1452791.59150.057069
330.119031.30390.09738
340.1022791.12040.132388
350.0881890.96610.167977
360.0855640.93730.17524
370.0421530.46180.322544
380.0125270.13720.445541
39-0.023121-0.25330.400243
40-0.042346-0.46390.321788
41-0.070055-0.76740.22217
42-0.081845-0.89660.185873
43-0.096617-1.05840.146003
44-0.105098-1.15130.125951
45-0.124959-1.36890.086801
46-0.136033-1.49020.069402
47-0.147634-1.61720.054226
48-0.152258-1.66790.048972
49-0.188991-2.07030.020285
50-0.215754-2.36350.009856
51-0.247098-2.70680.003892
52-0.265204-2.90520.002186
53-0.28611-3.13420.001083
54-0.289678-3.17330.000957
55-0.296373-3.24660.000757
56-0.298487-3.26980.000702
57-0.310741-3.4040.000452
58-0.312416-3.42240.000425
59-0.314233-3.44230.000397
60-0.31141-3.41130.000441

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.947903 & 10.3838 & 0 \tabularnewline
2 & 0.905266 & 9.9167 & 0 \tabularnewline
3 & 0.855729 & 9.374 & 0 \tabularnewline
4 & 0.826206 & 9.0506 & 0 \tabularnewline
5 & 0.78568 & 8.6067 & 0 \tabularnewline
6 & 0.757968 & 8.3031 & 0 \tabularnewline
7 & 0.736189 & 8.0645 & 0 \tabularnewline
8 & 0.723654 & 7.9272 & 0 \tabularnewline
9 & 0.703182 & 7.703 & 0 \tabularnewline
10 & 0.692102 & 7.5816 & 0 \tabularnewline
11 & 0.687571 & 7.532 & 0 \tabularnewline
12 & 0.700133 & 7.6696 & 0 \tabularnewline
13 & 0.64796 & 7.098 & 0 \tabularnewline
14 & 0.608836 & 6.6695 & 0 \tabularnewline
15 & 0.563512 & 6.173 & 0 \tabularnewline
16 & 0.536363 & 5.8756 & 0 \tabularnewline
17 & 0.497973 & 5.455 & 0 \tabularnewline
18 & 0.473835 & 5.1906 & 0 \tabularnewline
19 & 0.452691 & 4.959 & 1e-06 \tabularnewline
20 & 0.44001 & 4.8201 & 2e-06 \tabularnewline
21 & 0.418293 & 4.5822 & 6e-06 \tabularnewline
22 & 0.403394 & 4.419 & 1.1e-05 \tabularnewline
23 & 0.393324 & 4.3087 & 1.7e-05 \tabularnewline
24 & 0.396898 & 4.3478 & 1.4e-05 \tabularnewline
25 & 0.348074 & 3.813 & 0.000109 \tabularnewline
26 & 0.311763 & 3.4152 & 0.000435 \tabularnewline
27 & 0.268716 & 2.9436 & 0.001948 \tabularnewline
28 & 0.24336 & 2.6659 & 0.004369 \tabularnewline
29 & 0.206378 & 2.2608 & 0.012788 \tabularnewline
30 & 0.184419 & 2.0202 & 0.022794 \tabularnewline
31 & 0.160337 & 1.7564 & 0.040785 \tabularnewline
32 & 0.145279 & 1.5915 & 0.057069 \tabularnewline
33 & 0.11903 & 1.3039 & 0.09738 \tabularnewline
34 & 0.102279 & 1.1204 & 0.132388 \tabularnewline
35 & 0.088189 & 0.9661 & 0.167977 \tabularnewline
36 & 0.085564 & 0.9373 & 0.17524 \tabularnewline
37 & 0.042153 & 0.4618 & 0.322544 \tabularnewline
38 & 0.012527 & 0.1372 & 0.445541 \tabularnewline
39 & -0.023121 & -0.2533 & 0.400243 \tabularnewline
40 & -0.042346 & -0.4639 & 0.321788 \tabularnewline
41 & -0.070055 & -0.7674 & 0.22217 \tabularnewline
42 & -0.081845 & -0.8966 & 0.185873 \tabularnewline
43 & -0.096617 & -1.0584 & 0.146003 \tabularnewline
44 & -0.105098 & -1.1513 & 0.125951 \tabularnewline
45 & -0.124959 & -1.3689 & 0.086801 \tabularnewline
46 & -0.136033 & -1.4902 & 0.069402 \tabularnewline
47 & -0.147634 & -1.6172 & 0.054226 \tabularnewline
48 & -0.152258 & -1.6679 & 0.048972 \tabularnewline
49 & -0.188991 & -2.0703 & 0.020285 \tabularnewline
50 & -0.215754 & -2.3635 & 0.009856 \tabularnewline
51 & -0.247098 & -2.7068 & 0.003892 \tabularnewline
52 & -0.265204 & -2.9052 & 0.002186 \tabularnewline
53 & -0.28611 & -3.1342 & 0.001083 \tabularnewline
54 & -0.289678 & -3.1733 & 0.000957 \tabularnewline
55 & -0.296373 & -3.2466 & 0.000757 \tabularnewline
56 & -0.298487 & -3.2698 & 0.000702 \tabularnewline
57 & -0.310741 & -3.404 & 0.000452 \tabularnewline
58 & -0.312416 & -3.4224 & 0.000425 \tabularnewline
59 & -0.314233 & -3.4423 & 0.000397 \tabularnewline
60 & -0.31141 & -3.4113 & 0.000441 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169288&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]0.947903[/C][C]10.3838[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.905266[/C][C]9.9167[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.855729[/C][C]9.374[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.826206[/C][C]9.0506[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.78568[/C][C]8.6067[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.757968[/C][C]8.3031[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.736189[/C][C]8.0645[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.723654[/C][C]7.9272[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.703182[/C][C]7.703[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.692102[/C][C]7.5816[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0.687571[/C][C]7.532[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0.700133[/C][C]7.6696[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.64796[/C][C]7.098[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0.608836[/C][C]6.6695[/C][C]0[/C][/ROW]
[ROW][C]15[/C][C]0.563512[/C][C]6.173[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]0.536363[/C][C]5.8756[/C][C]0[/C][/ROW]
[ROW][C]17[/C][C]0.497973[/C][C]5.455[/C][C]0[/C][/ROW]
[ROW][C]18[/C][C]0.473835[/C][C]5.1906[/C][C]0[/C][/ROW]
[ROW][C]19[/C][C]0.452691[/C][C]4.959[/C][C]1e-06[/C][/ROW]
[ROW][C]20[/C][C]0.44001[/C][C]4.8201[/C][C]2e-06[/C][/ROW]
[ROW][C]21[/C][C]0.418293[/C][C]4.5822[/C][C]6e-06[/C][/ROW]
[ROW][C]22[/C][C]0.403394[/C][C]4.419[/C][C]1.1e-05[/C][/ROW]
[ROW][C]23[/C][C]0.393324[/C][C]4.3087[/C][C]1.7e-05[/C][/ROW]
[ROW][C]24[/C][C]0.396898[/C][C]4.3478[/C][C]1.4e-05[/C][/ROW]
[ROW][C]25[/C][C]0.348074[/C][C]3.813[/C][C]0.000109[/C][/ROW]
[ROW][C]26[/C][C]0.311763[/C][C]3.4152[/C][C]0.000435[/C][/ROW]
[ROW][C]27[/C][C]0.268716[/C][C]2.9436[/C][C]0.001948[/C][/ROW]
[ROW][C]28[/C][C]0.24336[/C][C]2.6659[/C][C]0.004369[/C][/ROW]
[ROW][C]29[/C][C]0.206378[/C][C]2.2608[/C][C]0.012788[/C][/ROW]
[ROW][C]30[/C][C]0.184419[/C][C]2.0202[/C][C]0.022794[/C][/ROW]
[ROW][C]31[/C][C]0.160337[/C][C]1.7564[/C][C]0.040785[/C][/ROW]
[ROW][C]32[/C][C]0.145279[/C][C]1.5915[/C][C]0.057069[/C][/ROW]
[ROW][C]33[/C][C]0.11903[/C][C]1.3039[/C][C]0.09738[/C][/ROW]
[ROW][C]34[/C][C]0.102279[/C][C]1.1204[/C][C]0.132388[/C][/ROW]
[ROW][C]35[/C][C]0.088189[/C][C]0.9661[/C][C]0.167977[/C][/ROW]
[ROW][C]36[/C][C]0.085564[/C][C]0.9373[/C][C]0.17524[/C][/ROW]
[ROW][C]37[/C][C]0.042153[/C][C]0.4618[/C][C]0.322544[/C][/ROW]
[ROW][C]38[/C][C]0.012527[/C][C]0.1372[/C][C]0.445541[/C][/ROW]
[ROW][C]39[/C][C]-0.023121[/C][C]-0.2533[/C][C]0.400243[/C][/ROW]
[ROW][C]40[/C][C]-0.042346[/C][C]-0.4639[/C][C]0.321788[/C][/ROW]
[ROW][C]41[/C][C]-0.070055[/C][C]-0.7674[/C][C]0.22217[/C][/ROW]
[ROW][C]42[/C][C]-0.081845[/C][C]-0.8966[/C][C]0.185873[/C][/ROW]
[ROW][C]43[/C][C]-0.096617[/C][C]-1.0584[/C][C]0.146003[/C][/ROW]
[ROW][C]44[/C][C]-0.105098[/C][C]-1.1513[/C][C]0.125951[/C][/ROW]
[ROW][C]45[/C][C]-0.124959[/C][C]-1.3689[/C][C]0.086801[/C][/ROW]
[ROW][C]46[/C][C]-0.136033[/C][C]-1.4902[/C][C]0.069402[/C][/ROW]
[ROW][C]47[/C][C]-0.147634[/C][C]-1.6172[/C][C]0.054226[/C][/ROW]
[ROW][C]48[/C][C]-0.152258[/C][C]-1.6679[/C][C]0.048972[/C][/ROW]
[ROW][C]49[/C][C]-0.188991[/C][C]-2.0703[/C][C]0.020285[/C][/ROW]
[ROW][C]50[/C][C]-0.215754[/C][C]-2.3635[/C][C]0.009856[/C][/ROW]
[ROW][C]51[/C][C]-0.247098[/C][C]-2.7068[/C][C]0.003892[/C][/ROW]
[ROW][C]52[/C][C]-0.265204[/C][C]-2.9052[/C][C]0.002186[/C][/ROW]
[ROW][C]53[/C][C]-0.28611[/C][C]-3.1342[/C][C]0.001083[/C][/ROW]
[ROW][C]54[/C][C]-0.289678[/C][C]-3.1733[/C][C]0.000957[/C][/ROW]
[ROW][C]55[/C][C]-0.296373[/C][C]-3.2466[/C][C]0.000757[/C][/ROW]
[ROW][C]56[/C][C]-0.298487[/C][C]-3.2698[/C][C]0.000702[/C][/ROW]
[ROW][C]57[/C][C]-0.310741[/C][C]-3.404[/C][C]0.000452[/C][/ROW]
[ROW][C]58[/C][C]-0.312416[/C][C]-3.4224[/C][C]0.000425[/C][/ROW]
[ROW][C]59[/C][C]-0.314233[/C][C]-3.4423[/C][C]0.000397[/C][/ROW]
[ROW][C]60[/C][C]-0.31141[/C][C]-3.4113[/C][C]0.000441[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169288&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169288&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
10.94790310.38380
20.9052669.91670
30.8557299.3740
40.8262069.05060
50.785688.60670
60.7579688.30310
70.7361898.06450
80.7236547.92720
90.7031827.7030
100.6921027.58160
110.6875717.5320
120.7001337.66960
130.647967.0980
140.6088366.66950
150.5635126.1730
160.5363635.87560
170.4979735.4550
180.4738355.19060
190.4526914.9591e-06
200.440014.82012e-06
210.4182934.58226e-06
220.4033944.4191.1e-05
230.3933244.30871.7e-05
240.3968984.34781.4e-05
250.3480743.8130.000109
260.3117633.41520.000435
270.2687162.94360.001948
280.243362.66590.004369
290.2063782.26080.012788
300.1844192.02020.022794
310.1603371.75640.040785
320.1452791.59150.057069
330.119031.30390.09738
340.1022791.12040.132388
350.0881890.96610.167977
360.0855640.93730.17524
370.0421530.46180.322544
380.0125270.13720.445541
39-0.023121-0.25330.400243
40-0.042346-0.46390.321788
41-0.070055-0.76740.22217
42-0.081845-0.89660.185873
43-0.096617-1.05840.146003
44-0.105098-1.15130.125951
45-0.124959-1.36890.086801
46-0.136033-1.49020.069402
47-0.147634-1.61720.054226
48-0.152258-1.66790.048972
49-0.188991-2.07030.020285
50-0.215754-2.36350.009856
51-0.247098-2.70680.003892
52-0.265204-2.90520.002186
53-0.28611-3.13420.001083
54-0.289678-3.17330.000957
55-0.296373-3.24660.000757
56-0.298487-3.26980.000702
57-0.310741-3.4040.000452
58-0.312416-3.42240.000425
59-0.314233-3.44230.000397
60-0.31141-3.41130.000441







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.94790310.38380
20.0664850.72830.233921
3-0.082604-0.90490.18367
40.1617561.77190.039471
5-0.095006-1.04070.150044
60.0752330.82410.205747
70.1033481.13210.129921
80.0490890.53770.295874
9-0.040338-0.44190.329684
100.0882590.96680.167786
110.1024121.12190.132079
120.1708631.87170.031841
13-0.617564-6.76510
140.1401171.53490.06372
150.0791090.86660.193946
16-0.101788-1.1150.133532
170.0628720.68870.246163
180.0384160.42080.337316
19-0.041005-0.44920.327054
200.026510.29040.386003
21-0.026507-0.29040.386017
220.0847270.92810.177601
23-0.085814-0.940.17454
24-0.059736-0.65440.257061
25-0.132117-1.44730.075215
260.0095640.10480.458367
270.0063860.070.472174
28-0.014108-0.15450.438721
29-0.004643-0.05090.47976
300.0057190.06260.475076
31-0.091586-1.00330.158874
320.0335910.3680.356771
33-0.043549-0.47710.317095
340.0585110.6410.261385
35-0.071713-0.78560.216831
36-0.075129-0.8230.20607
370.0145270.15910.436916
380.0073090.08010.46816
39-0.021755-0.23830.406022
400.0172970.18950.425017
410.0142180.15570.438247
420.0038790.04250.483088
43-0.02902-0.31790.375557
44-0.021908-0.240.405372
450.0166560.18250.427764
46-0.028062-0.30740.379534
47-0.067435-0.73870.230761
48-0.046562-0.51010.305474
490.0126680.13880.444933
50-0.087237-0.95560.170588
510.0196490.21520.414972
52-0.004771-0.05230.479204
530.0425760.46640.32089
540.0179450.19660.422247
55-0.042268-0.4630.322092
56-0.00041-0.00450.498212
570.024530.26870.394304
58-0.024164-0.26470.395844
590.0357370.39150.348068
60-0.053952-0.5910.27781

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.947903 & 10.3838 & 0 \tabularnewline
2 & 0.066485 & 0.7283 & 0.233921 \tabularnewline
3 & -0.082604 & -0.9049 & 0.18367 \tabularnewline
4 & 0.161756 & 1.7719 & 0.039471 \tabularnewline
5 & -0.095006 & -1.0407 & 0.150044 \tabularnewline
6 & 0.075233 & 0.8241 & 0.205747 \tabularnewline
7 & 0.103348 & 1.1321 & 0.129921 \tabularnewline
8 & 0.049089 & 0.5377 & 0.295874 \tabularnewline
9 & -0.040338 & -0.4419 & 0.329684 \tabularnewline
10 & 0.088259 & 0.9668 & 0.167786 \tabularnewline
11 & 0.102412 & 1.1219 & 0.132079 \tabularnewline
12 & 0.170863 & 1.8717 & 0.031841 \tabularnewline
13 & -0.617564 & -6.7651 & 0 \tabularnewline
14 & 0.140117 & 1.5349 & 0.06372 \tabularnewline
15 & 0.079109 & 0.8666 & 0.193946 \tabularnewline
16 & -0.101788 & -1.115 & 0.133532 \tabularnewline
17 & 0.062872 & 0.6887 & 0.246163 \tabularnewline
18 & 0.038416 & 0.4208 & 0.337316 \tabularnewline
19 & -0.041005 & -0.4492 & 0.327054 \tabularnewline
20 & 0.02651 & 0.2904 & 0.386003 \tabularnewline
21 & -0.026507 & -0.2904 & 0.386017 \tabularnewline
22 & 0.084727 & 0.9281 & 0.177601 \tabularnewline
23 & -0.085814 & -0.94 & 0.17454 \tabularnewline
24 & -0.059736 & -0.6544 & 0.257061 \tabularnewline
25 & -0.132117 & -1.4473 & 0.075215 \tabularnewline
26 & 0.009564 & 0.1048 & 0.458367 \tabularnewline
27 & 0.006386 & 0.07 & 0.472174 \tabularnewline
28 & -0.014108 & -0.1545 & 0.438721 \tabularnewline
29 & -0.004643 & -0.0509 & 0.47976 \tabularnewline
30 & 0.005719 & 0.0626 & 0.475076 \tabularnewline
31 & -0.091586 & -1.0033 & 0.158874 \tabularnewline
32 & 0.033591 & 0.368 & 0.356771 \tabularnewline
33 & -0.043549 & -0.4771 & 0.317095 \tabularnewline
34 & 0.058511 & 0.641 & 0.261385 \tabularnewline
35 & -0.071713 & -0.7856 & 0.216831 \tabularnewline
36 & -0.075129 & -0.823 & 0.20607 \tabularnewline
37 & 0.014527 & 0.1591 & 0.436916 \tabularnewline
38 & 0.007309 & 0.0801 & 0.46816 \tabularnewline
39 & -0.021755 & -0.2383 & 0.406022 \tabularnewline
40 & 0.017297 & 0.1895 & 0.425017 \tabularnewline
41 & 0.014218 & 0.1557 & 0.438247 \tabularnewline
42 & 0.003879 & 0.0425 & 0.483088 \tabularnewline
43 & -0.02902 & -0.3179 & 0.375557 \tabularnewline
44 & -0.021908 & -0.24 & 0.405372 \tabularnewline
45 & 0.016656 & 0.1825 & 0.427764 \tabularnewline
46 & -0.028062 & -0.3074 & 0.379534 \tabularnewline
47 & -0.067435 & -0.7387 & 0.230761 \tabularnewline
48 & -0.046562 & -0.5101 & 0.305474 \tabularnewline
49 & 0.012668 & 0.1388 & 0.444933 \tabularnewline
50 & -0.087237 & -0.9556 & 0.170588 \tabularnewline
51 & 0.019649 & 0.2152 & 0.414972 \tabularnewline
52 & -0.004771 & -0.0523 & 0.479204 \tabularnewline
53 & 0.042576 & 0.4664 & 0.32089 \tabularnewline
54 & 0.017945 & 0.1966 & 0.422247 \tabularnewline
55 & -0.042268 & -0.463 & 0.322092 \tabularnewline
56 & -0.00041 & -0.0045 & 0.498212 \tabularnewline
57 & 0.02453 & 0.2687 & 0.394304 \tabularnewline
58 & -0.024164 & -0.2647 & 0.395844 \tabularnewline
59 & 0.035737 & 0.3915 & 0.348068 \tabularnewline
60 & -0.053952 & -0.591 & 0.27781 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=169288&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]0.947903[/C][C]10.3838[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.066485[/C][C]0.7283[/C][C]0.233921[/C][/ROW]
[ROW][C]3[/C][C]-0.082604[/C][C]-0.9049[/C][C]0.18367[/C][/ROW]
[ROW][C]4[/C][C]0.161756[/C][C]1.7719[/C][C]0.039471[/C][/ROW]
[ROW][C]5[/C][C]-0.095006[/C][C]-1.0407[/C][C]0.150044[/C][/ROW]
[ROW][C]6[/C][C]0.075233[/C][C]0.8241[/C][C]0.205747[/C][/ROW]
[ROW][C]7[/C][C]0.103348[/C][C]1.1321[/C][C]0.129921[/C][/ROW]
[ROW][C]8[/C][C]0.049089[/C][C]0.5377[/C][C]0.295874[/C][/ROW]
[ROW][C]9[/C][C]-0.040338[/C][C]-0.4419[/C][C]0.329684[/C][/ROW]
[ROW][C]10[/C][C]0.088259[/C][C]0.9668[/C][C]0.167786[/C][/ROW]
[ROW][C]11[/C][C]0.102412[/C][C]1.1219[/C][C]0.132079[/C][/ROW]
[ROW][C]12[/C][C]0.170863[/C][C]1.8717[/C][C]0.031841[/C][/ROW]
[ROW][C]13[/C][C]-0.617564[/C][C]-6.7651[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0.140117[/C][C]1.5349[/C][C]0.06372[/C][/ROW]
[ROW][C]15[/C][C]0.079109[/C][C]0.8666[/C][C]0.193946[/C][/ROW]
[ROW][C]16[/C][C]-0.101788[/C][C]-1.115[/C][C]0.133532[/C][/ROW]
[ROW][C]17[/C][C]0.062872[/C][C]0.6887[/C][C]0.246163[/C][/ROW]
[ROW][C]18[/C][C]0.038416[/C][C]0.4208[/C][C]0.337316[/C][/ROW]
[ROW][C]19[/C][C]-0.041005[/C][C]-0.4492[/C][C]0.327054[/C][/ROW]
[ROW][C]20[/C][C]0.02651[/C][C]0.2904[/C][C]0.386003[/C][/ROW]
[ROW][C]21[/C][C]-0.026507[/C][C]-0.2904[/C][C]0.386017[/C][/ROW]
[ROW][C]22[/C][C]0.084727[/C][C]0.9281[/C][C]0.177601[/C][/ROW]
[ROW][C]23[/C][C]-0.085814[/C][C]-0.94[/C][C]0.17454[/C][/ROW]
[ROW][C]24[/C][C]-0.059736[/C][C]-0.6544[/C][C]0.257061[/C][/ROW]
[ROW][C]25[/C][C]-0.132117[/C][C]-1.4473[/C][C]0.075215[/C][/ROW]
[ROW][C]26[/C][C]0.009564[/C][C]0.1048[/C][C]0.458367[/C][/ROW]
[ROW][C]27[/C][C]0.006386[/C][C]0.07[/C][C]0.472174[/C][/ROW]
[ROW][C]28[/C][C]-0.014108[/C][C]-0.1545[/C][C]0.438721[/C][/ROW]
[ROW][C]29[/C][C]-0.004643[/C][C]-0.0509[/C][C]0.47976[/C][/ROW]
[ROW][C]30[/C][C]0.005719[/C][C]0.0626[/C][C]0.475076[/C][/ROW]
[ROW][C]31[/C][C]-0.091586[/C][C]-1.0033[/C][C]0.158874[/C][/ROW]
[ROW][C]32[/C][C]0.033591[/C][C]0.368[/C][C]0.356771[/C][/ROW]
[ROW][C]33[/C][C]-0.043549[/C][C]-0.4771[/C][C]0.317095[/C][/ROW]
[ROW][C]34[/C][C]0.058511[/C][C]0.641[/C][C]0.261385[/C][/ROW]
[ROW][C]35[/C][C]-0.071713[/C][C]-0.7856[/C][C]0.216831[/C][/ROW]
[ROW][C]36[/C][C]-0.075129[/C][C]-0.823[/C][C]0.20607[/C][/ROW]
[ROW][C]37[/C][C]0.014527[/C][C]0.1591[/C][C]0.436916[/C][/ROW]
[ROW][C]38[/C][C]0.007309[/C][C]0.0801[/C][C]0.46816[/C][/ROW]
[ROW][C]39[/C][C]-0.021755[/C][C]-0.2383[/C][C]0.406022[/C][/ROW]
[ROW][C]40[/C][C]0.017297[/C][C]0.1895[/C][C]0.425017[/C][/ROW]
[ROW][C]41[/C][C]0.014218[/C][C]0.1557[/C][C]0.438247[/C][/ROW]
[ROW][C]42[/C][C]0.003879[/C][C]0.0425[/C][C]0.483088[/C][/ROW]
[ROW][C]43[/C][C]-0.02902[/C][C]-0.3179[/C][C]0.375557[/C][/ROW]
[ROW][C]44[/C][C]-0.021908[/C][C]-0.24[/C][C]0.405372[/C][/ROW]
[ROW][C]45[/C][C]0.016656[/C][C]0.1825[/C][C]0.427764[/C][/ROW]
[ROW][C]46[/C][C]-0.028062[/C][C]-0.3074[/C][C]0.379534[/C][/ROW]
[ROW][C]47[/C][C]-0.067435[/C][C]-0.7387[/C][C]0.230761[/C][/ROW]
[ROW][C]48[/C][C]-0.046562[/C][C]-0.5101[/C][C]0.305474[/C][/ROW]
[ROW][C]49[/C][C]0.012668[/C][C]0.1388[/C][C]0.444933[/C][/ROW]
[ROW][C]50[/C][C]-0.087237[/C][C]-0.9556[/C][C]0.170588[/C][/ROW]
[ROW][C]51[/C][C]0.019649[/C][C]0.2152[/C][C]0.414972[/C][/ROW]
[ROW][C]52[/C][C]-0.004771[/C][C]-0.0523[/C][C]0.479204[/C][/ROW]
[ROW][C]53[/C][C]0.042576[/C][C]0.4664[/C][C]0.32089[/C][/ROW]
[ROW][C]54[/C][C]0.017945[/C][C]0.1966[/C][C]0.422247[/C][/ROW]
[ROW][C]55[/C][C]-0.042268[/C][C]-0.463[/C][C]0.322092[/C][/ROW]
[ROW][C]56[/C][C]-0.00041[/C][C]-0.0045[/C][C]0.498212[/C][/ROW]
[ROW][C]57[/C][C]0.02453[/C][C]0.2687[/C][C]0.394304[/C][/ROW]
[ROW][C]58[/C][C]-0.024164[/C][C]-0.2647[/C][C]0.395844[/C][/ROW]
[ROW][C]59[/C][C]0.035737[/C][C]0.3915[/C][C]0.348068[/C][/ROW]
[ROW][C]60[/C][C]-0.053952[/C][C]-0.591[/C][C]0.27781[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=169288&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=169288&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
10.94790310.38380
20.0664850.72830.233921
3-0.082604-0.90490.18367
40.1617561.77190.039471
5-0.095006-1.04070.150044
60.0752330.82410.205747
70.1033481.13210.129921
80.0490890.53770.295874
9-0.040338-0.44190.329684
100.0882590.96680.167786
110.1024121.12190.132079
120.1708631.87170.031841
13-0.617564-6.76510
140.1401171.53490.06372
150.0791090.86660.193946
16-0.101788-1.1150.133532
170.0628720.68870.246163
180.0384160.42080.337316
19-0.041005-0.44920.327054
200.026510.29040.386003
21-0.026507-0.29040.386017
220.0847270.92810.177601
23-0.085814-0.940.17454
24-0.059736-0.65440.257061
25-0.132117-1.44730.075215
260.0095640.10480.458367
270.0063860.070.472174
28-0.014108-0.15450.438721
29-0.004643-0.05090.47976
300.0057190.06260.475076
31-0.091586-1.00330.158874
320.0335910.3680.356771
33-0.043549-0.47710.317095
340.0585110.6410.261385
35-0.071713-0.78560.216831
36-0.075129-0.8230.20607
370.0145270.15910.436916
380.0073090.08010.46816
39-0.021755-0.23830.406022
400.0172970.18950.425017
410.0142180.15570.438247
420.0038790.04250.483088
43-0.02902-0.31790.375557
44-0.021908-0.240.405372
450.0166560.18250.427764
46-0.028062-0.30740.379534
47-0.067435-0.73870.230761
48-0.046562-0.51010.305474
490.0126680.13880.444933
50-0.087237-0.95560.170588
510.0196490.21520.414972
52-0.004771-0.05230.479204
530.0425760.46640.32089
540.0179450.19660.422247
55-0.042268-0.4630.322092
56-0.00041-0.00450.498212
570.024530.26870.394304
58-0.024164-0.26470.395844
590.0357370.39150.348068
60-0.053952-0.5910.27781



Parameters (Session):
par1 = 0.1 ; par2 = 0.9 ; par3 = 0.1 ;
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 <- '0'
par2 <- '1'
par1 <- 'Default'
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')