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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, 07 Aug 2017 15:07:38 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/07/t1502111984bfvlqd0y2sgogat.htm/, Retrieved Sun, 12 May 2024 08:34:24 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sun, 12 May 2024 08:34:24 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0
Dataseries X:
3221816
3209817
3197649
3172468
3421574
3408392
3221816
3097770
3109769
3109769
3123120
3147118
3184467
3184467
3160469
3097770
3421574
3470922
3396393
3221816
3296514
3184467
3234998
3259165
3284346
3221816
3234998
3147118
3421574
3508271
3433742
3296514
3445741
3284346
3433742
3421574
3458923
3321695
3470922
3458923
3682848
3632317
3433742
3333694
3470922
3284346
3421574
3445741
3496272
3384394
3445741
3483090
3620318
3508271
3359044
3197649
3347045
2936375
3135119
3246997
3359044
3197649
3197649
3197649
3284346
3160469
2997891
2861846
2960542
2575222
2811315
2948543
2973724
2836496
2848495
2811315
2936375
2848495
2675270
2550041
2761798
2301949
2600572
2736617
2736617
2575222
2425995
2413996
2550041
2425995
2190071
2027493
2202070
1791569
2164721
2363296
2425995
2288767
2115373
2239419
2288767
2251418
1878097
1704872
1828749
1455597
1840917
1978145
2090023
1903447
1728870
1828749
1878097
1779401
1406249
1243671
1392898
982397
1430247
1704872




Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center







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=&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=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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=&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=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 = 12greygrey0.010.10,010,010,010,10,10,10,010,010,010,010,112DefaultDefaultDefault4860 ; par2 = nono0.990.90,990,990,990,990,990,990,990,990,990,990,99grey11111 ; par3 = 0.010.10,010,010,010,10,10,10,010,10,10,10,1FALSE00000 ; par4 = Unknown00000 ; par5 = 1212121212 ; par6 = White NoiseWhite NoiseWhite NoiseWhite NoiseWhite Noise ; par7 = 0.950.950.950.950.95 ; par8 = 480 ;
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 <- '48'
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)
x <- na.omit(x)
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,'ACF(k)',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,'PACF(k)',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')