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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationWed, 20 Nov 2013 08:12:26 -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/20/t1384953184h6pa35vb7h57hgi.htm/, Retrieved Wed, 01 May 2024 20:51:17 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=226601, Retrieved Wed, 01 May 2024 20:51:17 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact130
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2013-11-20 13:12:26] [e13de47ca0b629216b947109e84252a5] [Current]
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Dataseries X:
16,68
16,68
16,69
16,61
16,58
16,6
16,6
16,62
16,62
16,6
16,63
16,66
16,66
16,65
16,5
16,39
16,34
16,35
16,35
16,38
16,36
16,38
16,39
16,41
16,41
16,41
16,45
16,41
16,44
16,47
16,47
16,49
16,54
16,62
16,69
16,72
16,72
16,71
16,89
16,93
16,91
16,93
16,93
16,93
16,95
16,93
16,95
16,95
16,95
16,95
16,92
16,91
16,9
16,96
16,96
16,95
16,92
16,87
16,87
16,88
16,88
16,86
16,88
16,88
16,88
16,88
16,88
16,87
16,92
16,94
17,03
17,02
17,02
17,02
16,99
17,03
16,98
16,89
16,89
16,9
16,89
16,96
16,97
16,97




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=226601&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=226601&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=226601&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'Gwilym Jenkins' @ jenkins.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9750768.93670
20.9396448.6120
30.902078.26760
40.8651797.92950
50.8287137.59530
60.7886967.22850
70.744276.82130
80.6977936.39540
90.6506945.96370
100.6054515.5490
110.5560335.09611e-06
120.5036724.61627e-06
130.4487414.11284.5e-05
140.3918953.59180.000276
150.340433.12010.001239
160.284992.6120.005331
170.2318782.12520.018254
180.1805081.65440.050891
190.1374531.25980.105619
200.1009290.9250.1788
210.0660660.60550.273239
220.0304740.27930.39035
23-0.002322-0.02130.491538
24-0.028308-0.25940.397964
25-0.046281-0.42420.336263
26-0.0604-0.55360.290671
27-0.073379-0.67250.251546
28-0.091951-0.84270.200883
29-0.112807-1.03390.152078
30-0.131893-1.20880.115063
31-0.150475-1.37910.085759
32-0.166039-1.52180.065911
33-0.184139-1.68770.047593
34-0.200865-1.8410.034579
35-0.219037-2.00750.023955
36-0.234434-2.14860.017272
37-0.252728-2.31630.011489
38-0.275861-2.52830.006666
39-0.290202-2.65970.004682
40-0.299115-2.74140.003736
41-0.308212-2.82480.002954
42-0.318842-2.92220.002232
43-0.332471-3.04710.001544
44-0.347161-3.18180.001026
45-0.36109-3.30940.000689
46-0.371171-3.40180.000514
47-0.3715-3.40490.000509
48-0.375255-3.43930.000455
49-0.378782-3.47160.00041
50-0.382214-3.5030.00037
51-0.381149-3.49330.000382
52-0.37589-3.44510.000447
53-0.368625-3.37850.000553
54-0.359513-3.2950.000721
55-0.346748-3.1780.001038
56-0.328849-3.01390.001704
57-0.306523-2.80930.003087
58-0.288004-2.63960.004946
59-0.268306-2.45910.007991
60-0.248885-2.28110.012538

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.975076 & 8.9367 & 0 \tabularnewline
2 & 0.939644 & 8.612 & 0 \tabularnewline
3 & 0.90207 & 8.2676 & 0 \tabularnewline
4 & 0.865179 & 7.9295 & 0 \tabularnewline
5 & 0.828713 & 7.5953 & 0 \tabularnewline
6 & 0.788696 & 7.2285 & 0 \tabularnewline
7 & 0.74427 & 6.8213 & 0 \tabularnewline
8 & 0.697793 & 6.3954 & 0 \tabularnewline
9 & 0.650694 & 5.9637 & 0 \tabularnewline
10 & 0.605451 & 5.549 & 0 \tabularnewline
11 & 0.556033 & 5.0961 & 1e-06 \tabularnewline
12 & 0.503672 & 4.6162 & 7e-06 \tabularnewline
13 & 0.448741 & 4.1128 & 4.5e-05 \tabularnewline
14 & 0.391895 & 3.5918 & 0.000276 \tabularnewline
15 & 0.34043 & 3.1201 & 0.001239 \tabularnewline
16 & 0.28499 & 2.612 & 0.005331 \tabularnewline
17 & 0.231878 & 2.1252 & 0.018254 \tabularnewline
18 & 0.180508 & 1.6544 & 0.050891 \tabularnewline
19 & 0.137453 & 1.2598 & 0.105619 \tabularnewline
20 & 0.100929 & 0.925 & 0.1788 \tabularnewline
21 & 0.066066 & 0.6055 & 0.273239 \tabularnewline
22 & 0.030474 & 0.2793 & 0.39035 \tabularnewline
23 & -0.002322 & -0.0213 & 0.491538 \tabularnewline
24 & -0.028308 & -0.2594 & 0.397964 \tabularnewline
25 & -0.046281 & -0.4242 & 0.336263 \tabularnewline
26 & -0.0604 & -0.5536 & 0.290671 \tabularnewline
27 & -0.073379 & -0.6725 & 0.251546 \tabularnewline
28 & -0.091951 & -0.8427 & 0.200883 \tabularnewline
29 & -0.112807 & -1.0339 & 0.152078 \tabularnewline
30 & -0.131893 & -1.2088 & 0.115063 \tabularnewline
31 & -0.150475 & -1.3791 & 0.085759 \tabularnewline
32 & -0.166039 & -1.5218 & 0.065911 \tabularnewline
33 & -0.184139 & -1.6877 & 0.047593 \tabularnewline
34 & -0.200865 & -1.841 & 0.034579 \tabularnewline
35 & -0.219037 & -2.0075 & 0.023955 \tabularnewline
36 & -0.234434 & -2.1486 & 0.017272 \tabularnewline
37 & -0.252728 & -2.3163 & 0.011489 \tabularnewline
38 & -0.275861 & -2.5283 & 0.006666 \tabularnewline
39 & -0.290202 & -2.6597 & 0.004682 \tabularnewline
40 & -0.299115 & -2.7414 & 0.003736 \tabularnewline
41 & -0.308212 & -2.8248 & 0.002954 \tabularnewline
42 & -0.318842 & -2.9222 & 0.002232 \tabularnewline
43 & -0.332471 & -3.0471 & 0.001544 \tabularnewline
44 & -0.347161 & -3.1818 & 0.001026 \tabularnewline
45 & -0.36109 & -3.3094 & 0.000689 \tabularnewline
46 & -0.371171 & -3.4018 & 0.000514 \tabularnewline
47 & -0.3715 & -3.4049 & 0.000509 \tabularnewline
48 & -0.375255 & -3.4393 & 0.000455 \tabularnewline
49 & -0.378782 & -3.4716 & 0.00041 \tabularnewline
50 & -0.382214 & -3.503 & 0.00037 \tabularnewline
51 & -0.381149 & -3.4933 & 0.000382 \tabularnewline
52 & -0.37589 & -3.4451 & 0.000447 \tabularnewline
53 & -0.368625 & -3.3785 & 0.000553 \tabularnewline
54 & -0.359513 & -3.295 & 0.000721 \tabularnewline
55 & -0.346748 & -3.178 & 0.001038 \tabularnewline
56 & -0.328849 & -3.0139 & 0.001704 \tabularnewline
57 & -0.306523 & -2.8093 & 0.003087 \tabularnewline
58 & -0.288004 & -2.6396 & 0.004946 \tabularnewline
59 & -0.268306 & -2.4591 & 0.007991 \tabularnewline
60 & -0.248885 & -2.2811 & 0.012538 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=226601&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]0.975076[/C][C]8.9367[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.939644[/C][C]8.612[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.90207[/C][C]8.2676[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.865179[/C][C]7.9295[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.828713[/C][C]7.5953[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.788696[/C][C]7.2285[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.74427[/C][C]6.8213[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.697793[/C][C]6.3954[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.650694[/C][C]5.9637[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.605451[/C][C]5.549[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0.556033[/C][C]5.0961[/C][C]1e-06[/C][/ROW]
[ROW][C]12[/C][C]0.503672[/C][C]4.6162[/C][C]7e-06[/C][/ROW]
[ROW][C]13[/C][C]0.448741[/C][C]4.1128[/C][C]4.5e-05[/C][/ROW]
[ROW][C]14[/C][C]0.391895[/C][C]3.5918[/C][C]0.000276[/C][/ROW]
[ROW][C]15[/C][C]0.34043[/C][C]3.1201[/C][C]0.001239[/C][/ROW]
[ROW][C]16[/C][C]0.28499[/C][C]2.612[/C][C]0.005331[/C][/ROW]
[ROW][C]17[/C][C]0.231878[/C][C]2.1252[/C][C]0.018254[/C][/ROW]
[ROW][C]18[/C][C]0.180508[/C][C]1.6544[/C][C]0.050891[/C][/ROW]
[ROW][C]19[/C][C]0.137453[/C][C]1.2598[/C][C]0.105619[/C][/ROW]
[ROW][C]20[/C][C]0.100929[/C][C]0.925[/C][C]0.1788[/C][/ROW]
[ROW][C]21[/C][C]0.066066[/C][C]0.6055[/C][C]0.273239[/C][/ROW]
[ROW][C]22[/C][C]0.030474[/C][C]0.2793[/C][C]0.39035[/C][/ROW]
[ROW][C]23[/C][C]-0.002322[/C][C]-0.0213[/C][C]0.491538[/C][/ROW]
[ROW][C]24[/C][C]-0.028308[/C][C]-0.2594[/C][C]0.397964[/C][/ROW]
[ROW][C]25[/C][C]-0.046281[/C][C]-0.4242[/C][C]0.336263[/C][/ROW]
[ROW][C]26[/C][C]-0.0604[/C][C]-0.5536[/C][C]0.290671[/C][/ROW]
[ROW][C]27[/C][C]-0.073379[/C][C]-0.6725[/C][C]0.251546[/C][/ROW]
[ROW][C]28[/C][C]-0.091951[/C][C]-0.8427[/C][C]0.200883[/C][/ROW]
[ROW][C]29[/C][C]-0.112807[/C][C]-1.0339[/C][C]0.152078[/C][/ROW]
[ROW][C]30[/C][C]-0.131893[/C][C]-1.2088[/C][C]0.115063[/C][/ROW]
[ROW][C]31[/C][C]-0.150475[/C][C]-1.3791[/C][C]0.085759[/C][/ROW]
[ROW][C]32[/C][C]-0.166039[/C][C]-1.5218[/C][C]0.065911[/C][/ROW]
[ROW][C]33[/C][C]-0.184139[/C][C]-1.6877[/C][C]0.047593[/C][/ROW]
[ROW][C]34[/C][C]-0.200865[/C][C]-1.841[/C][C]0.034579[/C][/ROW]
[ROW][C]35[/C][C]-0.219037[/C][C]-2.0075[/C][C]0.023955[/C][/ROW]
[ROW][C]36[/C][C]-0.234434[/C][C]-2.1486[/C][C]0.017272[/C][/ROW]
[ROW][C]37[/C][C]-0.252728[/C][C]-2.3163[/C][C]0.011489[/C][/ROW]
[ROW][C]38[/C][C]-0.275861[/C][C]-2.5283[/C][C]0.006666[/C][/ROW]
[ROW][C]39[/C][C]-0.290202[/C][C]-2.6597[/C][C]0.004682[/C][/ROW]
[ROW][C]40[/C][C]-0.299115[/C][C]-2.7414[/C][C]0.003736[/C][/ROW]
[ROW][C]41[/C][C]-0.308212[/C][C]-2.8248[/C][C]0.002954[/C][/ROW]
[ROW][C]42[/C][C]-0.318842[/C][C]-2.9222[/C][C]0.002232[/C][/ROW]
[ROW][C]43[/C][C]-0.332471[/C][C]-3.0471[/C][C]0.001544[/C][/ROW]
[ROW][C]44[/C][C]-0.347161[/C][C]-3.1818[/C][C]0.001026[/C][/ROW]
[ROW][C]45[/C][C]-0.36109[/C][C]-3.3094[/C][C]0.000689[/C][/ROW]
[ROW][C]46[/C][C]-0.371171[/C][C]-3.4018[/C][C]0.000514[/C][/ROW]
[ROW][C]47[/C][C]-0.3715[/C][C]-3.4049[/C][C]0.000509[/C][/ROW]
[ROW][C]48[/C][C]-0.375255[/C][C]-3.4393[/C][C]0.000455[/C][/ROW]
[ROW][C]49[/C][C]-0.378782[/C][C]-3.4716[/C][C]0.00041[/C][/ROW]
[ROW][C]50[/C][C]-0.382214[/C][C]-3.503[/C][C]0.00037[/C][/ROW]
[ROW][C]51[/C][C]-0.381149[/C][C]-3.4933[/C][C]0.000382[/C][/ROW]
[ROW][C]52[/C][C]-0.37589[/C][C]-3.4451[/C][C]0.000447[/C][/ROW]
[ROW][C]53[/C][C]-0.368625[/C][C]-3.3785[/C][C]0.000553[/C][/ROW]
[ROW][C]54[/C][C]-0.359513[/C][C]-3.295[/C][C]0.000721[/C][/ROW]
[ROW][C]55[/C][C]-0.346748[/C][C]-3.178[/C][C]0.001038[/C][/ROW]
[ROW][C]56[/C][C]-0.328849[/C][C]-3.0139[/C][C]0.001704[/C][/ROW]
[ROW][C]57[/C][C]-0.306523[/C][C]-2.8093[/C][C]0.003087[/C][/ROW]
[ROW][C]58[/C][C]-0.288004[/C][C]-2.6396[/C][C]0.004946[/C][/ROW]
[ROW][C]59[/C][C]-0.268306[/C][C]-2.4591[/C][C]0.007991[/C][/ROW]
[ROW][C]60[/C][C]-0.248885[/C][C]-2.2811[/C][C]0.012538[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=226601&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=226601&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
10.9750768.93670
20.9396448.6120
30.902078.26760
40.8651797.92950
50.8287137.59530
60.7886967.22850
70.744276.82130
80.6977936.39540
90.6506945.96370
100.6054515.5490
110.5560335.09611e-06
120.5036724.61627e-06
130.4487414.11284.5e-05
140.3918953.59180.000276
150.340433.12010.001239
160.284992.6120.005331
170.2318782.12520.018254
180.1805081.65440.050891
190.1374531.25980.105619
200.1009290.9250.1788
210.0660660.60550.273239
220.0304740.27930.39035
23-0.002322-0.02130.491538
24-0.028308-0.25940.397964
25-0.046281-0.42420.336263
26-0.0604-0.55360.290671
27-0.073379-0.67250.251546
28-0.091951-0.84270.200883
29-0.112807-1.03390.152078
30-0.131893-1.20880.115063
31-0.150475-1.37910.085759
32-0.166039-1.52180.065911
33-0.184139-1.68770.047593
34-0.200865-1.8410.034579
35-0.219037-2.00750.023955
36-0.234434-2.14860.017272
37-0.252728-2.31630.011489
38-0.275861-2.52830.006666
39-0.290202-2.65970.004682
40-0.299115-2.74140.003736
41-0.308212-2.82480.002954
42-0.318842-2.92220.002232
43-0.332471-3.04710.001544
44-0.347161-3.18180.001026
45-0.36109-3.30940.000689
46-0.371171-3.40180.000514
47-0.3715-3.40490.000509
48-0.375255-3.43930.000455
49-0.378782-3.47160.00041
50-0.382214-3.5030.00037
51-0.381149-3.49330.000382
52-0.37589-3.44510.000447
53-0.368625-3.37850.000553
54-0.359513-3.2950.000721
55-0.346748-3.1780.001038
56-0.328849-3.01390.001704
57-0.306523-2.80930.003087
58-0.288004-2.63960.004946
59-0.268306-2.45910.007991
60-0.248885-2.28110.012538







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9750768.93670
2-0.226075-2.0720.020666
3-0.018178-0.16660.434043
40.0038890.03560.485826
5-0.018638-0.17080.432389
6-0.099207-0.90920.18291
7-0.085794-0.78630.216946
8-0.034577-0.31690.376053
9-0.030778-0.28210.389286
100.0096110.08810.465007
11-0.134092-1.2290.111257
12-0.052155-0.4780.316944
13-0.062897-0.57650.282923
14-0.063809-0.58480.280117
150.0804390.73720.231518
16-0.175702-1.61030.055539
170.0627980.57560.283229
18-0.018452-0.16910.433057
190.1480111.35650.089281
200.0155370.14240.443552
21-0.035827-0.32840.371728
22-0.039107-0.35840.360464
230.0415120.38050.35228
240.1127271.03320.152247
250.024160.22140.412646
260.0165830.1520.439783
27-0.038107-0.34930.363886
28-0.143967-1.31950.095297
29-0.038979-0.35720.360902
30-0.079312-0.72690.234652
31-0.048835-0.44760.327804
32-0.024652-0.22590.4109
33-0.075372-0.69080.2458
340.0029830.02730.489127
35-0.110977-1.01710.156009
360.0326050.29880.382902
37-0.141894-1.30050.098497
38-0.075091-0.68820.246606
390.2433722.23050.014189
400.0079030.07240.471214
41-0.003909-0.03580.485753
42-0.065317-0.59860.275513
430.050560.46340.322141
44-0.027997-0.25660.399057
45-0.031643-0.290.38626
460.0348430.31930.375132
470.1299451.1910.118511
48-0.087486-0.80180.212459
49-0.030351-0.27820.390783
50-0.001915-0.01760.493018
51-0.031969-0.2930.385121
52-0.060226-0.5520.291213
530.0165510.15170.439896
54-0.025279-0.23170.408673
550.0822010.75340.226664
560.0573630.52570.300228
570.0374220.3430.366235
58-0.107683-0.98690.163256
590.040790.37380.35473
60-0.061339-0.56220.287745

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.975076 & 8.9367 & 0 \tabularnewline
2 & -0.226075 & -2.072 & 0.020666 \tabularnewline
3 & -0.018178 & -0.1666 & 0.434043 \tabularnewline
4 & 0.003889 & 0.0356 & 0.485826 \tabularnewline
5 & -0.018638 & -0.1708 & 0.432389 \tabularnewline
6 & -0.099207 & -0.9092 & 0.18291 \tabularnewline
7 & -0.085794 & -0.7863 & 0.216946 \tabularnewline
8 & -0.034577 & -0.3169 & 0.376053 \tabularnewline
9 & -0.030778 & -0.2821 & 0.389286 \tabularnewline
10 & 0.009611 & 0.0881 & 0.465007 \tabularnewline
11 & -0.134092 & -1.229 & 0.111257 \tabularnewline
12 & -0.052155 & -0.478 & 0.316944 \tabularnewline
13 & -0.062897 & -0.5765 & 0.282923 \tabularnewline
14 & -0.063809 & -0.5848 & 0.280117 \tabularnewline
15 & 0.080439 & 0.7372 & 0.231518 \tabularnewline
16 & -0.175702 & -1.6103 & 0.055539 \tabularnewline
17 & 0.062798 & 0.5756 & 0.283229 \tabularnewline
18 & -0.018452 & -0.1691 & 0.433057 \tabularnewline
19 & 0.148011 & 1.3565 & 0.089281 \tabularnewline
20 & 0.015537 & 0.1424 & 0.443552 \tabularnewline
21 & -0.035827 & -0.3284 & 0.371728 \tabularnewline
22 & -0.039107 & -0.3584 & 0.360464 \tabularnewline
23 & 0.041512 & 0.3805 & 0.35228 \tabularnewline
24 & 0.112727 & 1.0332 & 0.152247 \tabularnewline
25 & 0.02416 & 0.2214 & 0.412646 \tabularnewline
26 & 0.016583 & 0.152 & 0.439783 \tabularnewline
27 & -0.038107 & -0.3493 & 0.363886 \tabularnewline
28 & -0.143967 & -1.3195 & 0.095297 \tabularnewline
29 & -0.038979 & -0.3572 & 0.360902 \tabularnewline
30 & -0.079312 & -0.7269 & 0.234652 \tabularnewline
31 & -0.048835 & -0.4476 & 0.327804 \tabularnewline
32 & -0.024652 & -0.2259 & 0.4109 \tabularnewline
33 & -0.075372 & -0.6908 & 0.2458 \tabularnewline
34 & 0.002983 & 0.0273 & 0.489127 \tabularnewline
35 & -0.110977 & -1.0171 & 0.156009 \tabularnewline
36 & 0.032605 & 0.2988 & 0.382902 \tabularnewline
37 & -0.141894 & -1.3005 & 0.098497 \tabularnewline
38 & -0.075091 & -0.6882 & 0.246606 \tabularnewline
39 & 0.243372 & 2.2305 & 0.014189 \tabularnewline
40 & 0.007903 & 0.0724 & 0.471214 \tabularnewline
41 & -0.003909 & -0.0358 & 0.485753 \tabularnewline
42 & -0.065317 & -0.5986 & 0.275513 \tabularnewline
43 & 0.05056 & 0.4634 & 0.322141 \tabularnewline
44 & -0.027997 & -0.2566 & 0.399057 \tabularnewline
45 & -0.031643 & -0.29 & 0.38626 \tabularnewline
46 & 0.034843 & 0.3193 & 0.375132 \tabularnewline
47 & 0.129945 & 1.191 & 0.118511 \tabularnewline
48 & -0.087486 & -0.8018 & 0.212459 \tabularnewline
49 & -0.030351 & -0.2782 & 0.390783 \tabularnewline
50 & -0.001915 & -0.0176 & 0.493018 \tabularnewline
51 & -0.031969 & -0.293 & 0.385121 \tabularnewline
52 & -0.060226 & -0.552 & 0.291213 \tabularnewline
53 & 0.016551 & 0.1517 & 0.439896 \tabularnewline
54 & -0.025279 & -0.2317 & 0.408673 \tabularnewline
55 & 0.082201 & 0.7534 & 0.226664 \tabularnewline
56 & 0.057363 & 0.5257 & 0.300228 \tabularnewline
57 & 0.037422 & 0.343 & 0.366235 \tabularnewline
58 & -0.107683 & -0.9869 & 0.163256 \tabularnewline
59 & 0.04079 & 0.3738 & 0.35473 \tabularnewline
60 & -0.061339 & -0.5622 & 0.287745 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=226601&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]0.975076[/C][C]8.9367[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.226075[/C][C]-2.072[/C][C]0.020666[/C][/ROW]
[ROW][C]3[/C][C]-0.018178[/C][C]-0.1666[/C][C]0.434043[/C][/ROW]
[ROW][C]4[/C][C]0.003889[/C][C]0.0356[/C][C]0.485826[/C][/ROW]
[ROW][C]5[/C][C]-0.018638[/C][C]-0.1708[/C][C]0.432389[/C][/ROW]
[ROW][C]6[/C][C]-0.099207[/C][C]-0.9092[/C][C]0.18291[/C][/ROW]
[ROW][C]7[/C][C]-0.085794[/C][C]-0.7863[/C][C]0.216946[/C][/ROW]
[ROW][C]8[/C][C]-0.034577[/C][C]-0.3169[/C][C]0.376053[/C][/ROW]
[ROW][C]9[/C][C]-0.030778[/C][C]-0.2821[/C][C]0.389286[/C][/ROW]
[ROW][C]10[/C][C]0.009611[/C][C]0.0881[/C][C]0.465007[/C][/ROW]
[ROW][C]11[/C][C]-0.134092[/C][C]-1.229[/C][C]0.111257[/C][/ROW]
[ROW][C]12[/C][C]-0.052155[/C][C]-0.478[/C][C]0.316944[/C][/ROW]
[ROW][C]13[/C][C]-0.062897[/C][C]-0.5765[/C][C]0.282923[/C][/ROW]
[ROW][C]14[/C][C]-0.063809[/C][C]-0.5848[/C][C]0.280117[/C][/ROW]
[ROW][C]15[/C][C]0.080439[/C][C]0.7372[/C][C]0.231518[/C][/ROW]
[ROW][C]16[/C][C]-0.175702[/C][C]-1.6103[/C][C]0.055539[/C][/ROW]
[ROW][C]17[/C][C]0.062798[/C][C]0.5756[/C][C]0.283229[/C][/ROW]
[ROW][C]18[/C][C]-0.018452[/C][C]-0.1691[/C][C]0.433057[/C][/ROW]
[ROW][C]19[/C][C]0.148011[/C][C]1.3565[/C][C]0.089281[/C][/ROW]
[ROW][C]20[/C][C]0.015537[/C][C]0.1424[/C][C]0.443552[/C][/ROW]
[ROW][C]21[/C][C]-0.035827[/C][C]-0.3284[/C][C]0.371728[/C][/ROW]
[ROW][C]22[/C][C]-0.039107[/C][C]-0.3584[/C][C]0.360464[/C][/ROW]
[ROW][C]23[/C][C]0.041512[/C][C]0.3805[/C][C]0.35228[/C][/ROW]
[ROW][C]24[/C][C]0.112727[/C][C]1.0332[/C][C]0.152247[/C][/ROW]
[ROW][C]25[/C][C]0.02416[/C][C]0.2214[/C][C]0.412646[/C][/ROW]
[ROW][C]26[/C][C]0.016583[/C][C]0.152[/C][C]0.439783[/C][/ROW]
[ROW][C]27[/C][C]-0.038107[/C][C]-0.3493[/C][C]0.363886[/C][/ROW]
[ROW][C]28[/C][C]-0.143967[/C][C]-1.3195[/C][C]0.095297[/C][/ROW]
[ROW][C]29[/C][C]-0.038979[/C][C]-0.3572[/C][C]0.360902[/C][/ROW]
[ROW][C]30[/C][C]-0.079312[/C][C]-0.7269[/C][C]0.234652[/C][/ROW]
[ROW][C]31[/C][C]-0.048835[/C][C]-0.4476[/C][C]0.327804[/C][/ROW]
[ROW][C]32[/C][C]-0.024652[/C][C]-0.2259[/C][C]0.4109[/C][/ROW]
[ROW][C]33[/C][C]-0.075372[/C][C]-0.6908[/C][C]0.2458[/C][/ROW]
[ROW][C]34[/C][C]0.002983[/C][C]0.0273[/C][C]0.489127[/C][/ROW]
[ROW][C]35[/C][C]-0.110977[/C][C]-1.0171[/C][C]0.156009[/C][/ROW]
[ROW][C]36[/C][C]0.032605[/C][C]0.2988[/C][C]0.382902[/C][/ROW]
[ROW][C]37[/C][C]-0.141894[/C][C]-1.3005[/C][C]0.098497[/C][/ROW]
[ROW][C]38[/C][C]-0.075091[/C][C]-0.6882[/C][C]0.246606[/C][/ROW]
[ROW][C]39[/C][C]0.243372[/C][C]2.2305[/C][C]0.014189[/C][/ROW]
[ROW][C]40[/C][C]0.007903[/C][C]0.0724[/C][C]0.471214[/C][/ROW]
[ROW][C]41[/C][C]-0.003909[/C][C]-0.0358[/C][C]0.485753[/C][/ROW]
[ROW][C]42[/C][C]-0.065317[/C][C]-0.5986[/C][C]0.275513[/C][/ROW]
[ROW][C]43[/C][C]0.05056[/C][C]0.4634[/C][C]0.322141[/C][/ROW]
[ROW][C]44[/C][C]-0.027997[/C][C]-0.2566[/C][C]0.399057[/C][/ROW]
[ROW][C]45[/C][C]-0.031643[/C][C]-0.29[/C][C]0.38626[/C][/ROW]
[ROW][C]46[/C][C]0.034843[/C][C]0.3193[/C][C]0.375132[/C][/ROW]
[ROW][C]47[/C][C]0.129945[/C][C]1.191[/C][C]0.118511[/C][/ROW]
[ROW][C]48[/C][C]-0.087486[/C][C]-0.8018[/C][C]0.212459[/C][/ROW]
[ROW][C]49[/C][C]-0.030351[/C][C]-0.2782[/C][C]0.390783[/C][/ROW]
[ROW][C]50[/C][C]-0.001915[/C][C]-0.0176[/C][C]0.493018[/C][/ROW]
[ROW][C]51[/C][C]-0.031969[/C][C]-0.293[/C][C]0.385121[/C][/ROW]
[ROW][C]52[/C][C]-0.060226[/C][C]-0.552[/C][C]0.291213[/C][/ROW]
[ROW][C]53[/C][C]0.016551[/C][C]0.1517[/C][C]0.439896[/C][/ROW]
[ROW][C]54[/C][C]-0.025279[/C][C]-0.2317[/C][C]0.408673[/C][/ROW]
[ROW][C]55[/C][C]0.082201[/C][C]0.7534[/C][C]0.226664[/C][/ROW]
[ROW][C]56[/C][C]0.057363[/C][C]0.5257[/C][C]0.300228[/C][/ROW]
[ROW][C]57[/C][C]0.037422[/C][C]0.343[/C][C]0.366235[/C][/ROW]
[ROW][C]58[/C][C]-0.107683[/C][C]-0.9869[/C][C]0.163256[/C][/ROW]
[ROW][C]59[/C][C]0.04079[/C][C]0.3738[/C][C]0.35473[/C][/ROW]
[ROW][C]60[/C][C]-0.061339[/C][C]-0.5622[/C][C]0.287745[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=226601&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=226601&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
10.9750768.93670
2-0.226075-2.0720.020666
3-0.018178-0.16660.434043
40.0038890.03560.485826
5-0.018638-0.17080.432389
6-0.099207-0.90920.18291
7-0.085794-0.78630.216946
8-0.034577-0.31690.376053
9-0.030778-0.28210.389286
100.0096110.08810.465007
11-0.134092-1.2290.111257
12-0.052155-0.4780.316944
13-0.062897-0.57650.282923
14-0.063809-0.58480.280117
150.0804390.73720.231518
16-0.175702-1.61030.055539
170.0627980.57560.283229
18-0.018452-0.16910.433057
190.1480111.35650.089281
200.0155370.14240.443552
21-0.035827-0.32840.371728
22-0.039107-0.35840.360464
230.0415120.38050.35228
240.1127271.03320.152247
250.024160.22140.412646
260.0165830.1520.439783
27-0.038107-0.34930.363886
28-0.143967-1.31950.095297
29-0.038979-0.35720.360902
30-0.079312-0.72690.234652
31-0.048835-0.44760.327804
32-0.024652-0.22590.4109
33-0.075372-0.69080.2458
340.0029830.02730.489127
35-0.110977-1.01710.156009
360.0326050.29880.382902
37-0.141894-1.30050.098497
38-0.075091-0.68820.246606
390.2433722.23050.014189
400.0079030.07240.471214
41-0.003909-0.03580.485753
42-0.065317-0.59860.275513
430.050560.46340.322141
44-0.027997-0.25660.399057
45-0.031643-0.290.38626
460.0348430.31930.375132
470.1299451.1910.118511
48-0.087486-0.80180.212459
49-0.030351-0.27820.390783
50-0.001915-0.01760.493018
51-0.031969-0.2930.385121
52-0.060226-0.5520.291213
530.0165510.15170.439896
54-0.025279-0.23170.408673
550.0822010.75340.226664
560.0573630.52570.300228
570.0374220.3430.366235
58-0.107683-0.98690.163256
590.040790.37380.35473
60-0.061339-0.56220.287745



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')