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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationMon, 03 Dec 2007 07:07:34 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/03/t11966903469lo9bvksq8yxb7e.htm/, Retrieved Fri, 03 May 2024 20:50:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2340, Retrieved Fri, 03 May 2024 20:50:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact197

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [output1] [2007-12-03 14:07:34] [ba8414dd214a21fbd6c7bde748ac585f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10,31
11,17
12,42
13,24
14,19
14,04
14,47
15,5
15,73
16,39
15,54
14,76
14,89
14,37
15,33
15,75
15,68
16,24
17,27
17,95
18,26
18,74
18,73
19,53
19,87
19,95
20,24
21,42
22,34
22,33
22,87
22,18
21,23
21,58
21,6
21,54
23,19
24,01
24,51
24,16
24,65
24,51
24,32
23,19
23,45
25,15
25,54
25,55
26,04
26,49
25,94
26,31
28,39
26,97
25,28
24,73
23,75
22,1
22,79
23,63
24,54
26,42
27,64
27,67
27,9
28,07
29,34
28,49
29,11
28,52
28,01
27,24
25,22
25
26,47
27,67
28,4
31,66
30,47
31,67
28,96
28,75
30,54
30,03
30,66
29,51
30,11
30,98
30,28
29,5
25,24
23,01
21,82
20,89
21,87
23,01
23,37
24,63
24,33
26,92
25,79
24,78
23,81
24,65
23,69
23,17
23,38
23,48
24,63
25,44
25,02
25,88
25,79
25,89
26,87
27,1
26,8
26,48
24,92
24,34
23,62
23,8
22,83
23,42
23,71
24,47
24,93
24,25
24,89
25,02
25,02
25,31
21,47
20,39
19,92
19,29
19,21
18,62
17,87
17,68
16,51
17,29
17,82
16,91
17,58
18,57
18,94
19,71
18
17,56
18,18
18,51
19,19
18,74
19,11
20,4
21,92
22,88
23,38
25,09
23,88
22,84
24,18
24,66
24,13
24,89
23,8
22,99
22,47
22,08
23,22
23,68
23,65
24,01
24,86
24,2
24,11
23,91
24,86
26
25,83
25,85
26,92
26,75
27,55
27,5
26,89
26,93
25,69
24,28
23,02
21,94
22,5
23,32
24,15
24,84
27
28,5
28,47
28,22
29,05
29,35
29,18
29,61
30,86
30,92
31,43
31,44
31,33
26,92
24,21
24,94
23,24
23,23
23,55
21,65
21,85
23,51
24,04
24,2
25,04
25,51
24,58
25,04
26,13
26,47
27,25
26,64
26,54
28,18
28,23
27,62
28,26
27,15
25,98
24,98
24,88
26,37
27,75
29,48
27,78
27,14
26,61
27,81
28,49
27,6
27,35
28,21
28,97
28,32
28,22
29,2
29,97
29,52
28,84
27,43
27,45
28,8
29,21
30,54
30,92
31,26
31,28
30,02
30,14
31,33
31,42
31,91
33,72
34,99
35,98
35,28
35,09
33,08
32,9
33,05
32,02
34,36
34,99
35,74
36,6
37,64
38,58
40,49
39,67
37,63
37,58
37,78
39,85
41,19
42,2
44,03
44,08
44,72
40,99
38,7
36,18
38,26
37,23
32,75
33,76
36,3
33,29
35,21
38,3
39,7
41,89
40,55
39,59
41,4
44,04
45,15
47,23
48,69
49,6
48,06
50,95
47,2
46,93
48,58
45,8
45,64
43,53
44,25
47,29
49,05
50,16
53,08
53,52
54,35
54,49
52,62
53,59
55,51
58,07
59,61
59,95
62,36
60,22
58,1
59,63
58,83
56,35
54,62
54,04
53,45
53,62
52,73
50,24
50,29
50,28
52,94
54,76
52,64
52,22
56,18
57,89
59,34
60,9
60,65
58,26
55,78
55,76
57,51
57,54
57,75
57,89
59,91
62,17
63,68
66,99
67,59
67,53
66,03
64,63
64,12
65,11
64,81
63,33
63
65,7
68,32
69,12
70,26
68,71
70,23
72,1
68,67
67,48
65,87
63,38
59,77
57,55
56,07
55,73
55,22
55,63
55,45
55
55,8
56
54,73
57,27
59,41
58,1
58,46
57,33
55,06
50,75
48,39
50,17
51,81
54,19
53,74
54,4
57,98
58,3
57,94
57,73
61,7
64,73
64,52
63,99
64,35
64,42
62,55
64,9
67,39
65,88
66,99
66,63
68,51
68,02
70,15
73,73
74,5
73,74
73,83
69,98
68,5
67,52
68,83
71,76
73,84
75,54
76,52
76,18
76,22
80,58
81,62
86,47
86,47

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 3 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2340&T=0

[TABLE]
[ROW][C]Summary of compuational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2340&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2340&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ 193.190.124.10:1001






Autocorrelation Function
Time lag kACF(k)T-STATP-value
0120.95230
10.2512475.26420
20.0476980.99940.159078
30.0782921.64040.05082
4-0.062647-1.31260.904998
5-0.002833-0.05930.52365
6-0.073057-1.53070.936721
7-0.043799-0.91770.82036
80.0352750.73910.23012
9-0.134997-2.82850.997555
10-0.100243-2.10030.981865
11-0.199157-4.17280.999982
12-0.492534-10.31971
13-0.024107-0.50510.693128
140.037080.77690.218812
150.0403260.84490.199304
160.0733241.53630.062592
170.0255330.5350.296471
180.0766151.60530.054578
19-0.041552-0.87060.807777
20-0.042828-0.89730.814987
210.108312.26940.011866
220.0932881.95460.025632
230.0774311.62240.052722
240.0215640.45180.325816
25-0.071812-1.50460.933431
260.0053070.11120.45576
27-0.08028-1.6820.953365
28-0.061991-1.29880.902661
290.0121450.25450.39963
300.0555111.16310.122714
310.1031992.16230.015569
32-0.000618-0.01290.505163
33-0.094767-1.98560.97615
34-0.107878-2.26030.987854
35-0.097267-2.0380.978924
36-0.079211-1.65960.95115
37-0.057134-1.19710.88404
38-0.078149-1.63740.948868
39-0.011558-0.24220.595615
400.0322790.67630.249594
410.0053180.11140.455663
42-0.069352-1.45310.926542
430.0401550.84130.200309
440.1288842.70040.003597
450.1408542.95120.001667
460.1555763.25970.000601
470.1262032.64420.00424

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
0 & 1 & 20.9523 & 0 \tabularnewline
1 & 0.251247 & 5.2642 & 0 \tabularnewline
2 & 0.047698 & 0.9994 & 0.159078 \tabularnewline
3 & 0.078292 & 1.6404 & 0.05082 \tabularnewline
4 & -0.062647 & -1.3126 & 0.904998 \tabularnewline
5 & -0.002833 & -0.0593 & 0.52365 \tabularnewline
6 & -0.073057 & -1.5307 & 0.936721 \tabularnewline
7 & -0.043799 & -0.9177 & 0.82036 \tabularnewline
8 & 0.035275 & 0.7391 & 0.23012 \tabularnewline
9 & -0.134997 & -2.8285 & 0.997555 \tabularnewline
10 & -0.100243 & -2.1003 & 0.981865 \tabularnewline
11 & -0.199157 & -4.1728 & 0.999982 \tabularnewline
12 & -0.492534 & -10.3197 & 1 \tabularnewline
13 & -0.024107 & -0.5051 & 0.693128 \tabularnewline
14 & 0.03708 & 0.7769 & 0.218812 \tabularnewline
15 & 0.040326 & 0.8449 & 0.199304 \tabularnewline
16 & 0.073324 & 1.5363 & 0.062592 \tabularnewline
17 & 0.025533 & 0.535 & 0.296471 \tabularnewline
18 & 0.076615 & 1.6053 & 0.054578 \tabularnewline
19 & -0.041552 & -0.8706 & 0.807777 \tabularnewline
20 & -0.042828 & -0.8973 & 0.814987 \tabularnewline
21 & 0.10831 & 2.2694 & 0.011866 \tabularnewline
22 & 0.093288 & 1.9546 & 0.025632 \tabularnewline
23 & 0.077431 & 1.6224 & 0.052722 \tabularnewline
24 & 0.021564 & 0.4518 & 0.325816 \tabularnewline
25 & -0.071812 & -1.5046 & 0.933431 \tabularnewline
26 & 0.005307 & 0.1112 & 0.45576 \tabularnewline
27 & -0.08028 & -1.682 & 0.953365 \tabularnewline
28 & -0.061991 & -1.2988 & 0.902661 \tabularnewline
29 & 0.012145 & 0.2545 & 0.39963 \tabularnewline
30 & 0.055511 & 1.1631 & 0.122714 \tabularnewline
31 & 0.103199 & 2.1623 & 0.015569 \tabularnewline
32 & -0.000618 & -0.0129 & 0.505163 \tabularnewline
33 & -0.094767 & -1.9856 & 0.97615 \tabularnewline
34 & -0.107878 & -2.2603 & 0.987854 \tabularnewline
35 & -0.097267 & -2.038 & 0.978924 \tabularnewline
36 & -0.079211 & -1.6596 & 0.95115 \tabularnewline
37 & -0.057134 & -1.1971 & 0.88404 \tabularnewline
38 & -0.078149 & -1.6374 & 0.948868 \tabularnewline
39 & -0.011558 & -0.2422 & 0.595615 \tabularnewline
40 & 0.032279 & 0.6763 & 0.249594 \tabularnewline
41 & 0.005318 & 0.1114 & 0.455663 \tabularnewline
42 & -0.069352 & -1.4531 & 0.926542 \tabularnewline
43 & 0.040155 & 0.8413 & 0.200309 \tabularnewline
44 & 0.128884 & 2.7004 & 0.003597 \tabularnewline
45 & 0.140854 & 2.9512 & 0.001667 \tabularnewline
46 & 0.155576 & 3.2597 & 0.000601 \tabularnewline
47 & 0.126203 & 2.6442 & 0.00424 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2340&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]0[/C][C]1[/C][C]20.9523[/C][C]0[/C][/ROW]
[ROW][C]1[/C][C]0.251247[/C][C]5.2642[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.047698[/C][C]0.9994[/C][C]0.159078[/C][/ROW]
[ROW][C]3[/C][C]0.078292[/C][C]1.6404[/C][C]0.05082[/C][/ROW]
[ROW][C]4[/C][C]-0.062647[/C][C]-1.3126[/C][C]0.904998[/C][/ROW]
[ROW][C]5[/C][C]-0.002833[/C][C]-0.0593[/C][C]0.52365[/C][/ROW]
[ROW][C]6[/C][C]-0.073057[/C][C]-1.5307[/C][C]0.936721[/C][/ROW]
[ROW][C]7[/C][C]-0.043799[/C][C]-0.9177[/C][C]0.82036[/C][/ROW]
[ROW][C]8[/C][C]0.035275[/C][C]0.7391[/C][C]0.23012[/C][/ROW]
[ROW][C]9[/C][C]-0.134997[/C][C]-2.8285[/C][C]0.997555[/C][/ROW]
[ROW][C]10[/C][C]-0.100243[/C][C]-2.1003[/C][C]0.981865[/C][/ROW]
[ROW][C]11[/C][C]-0.199157[/C][C]-4.1728[/C][C]0.999982[/C][/ROW]
[ROW][C]12[/C][C]-0.492534[/C][C]-10.3197[/C][C]1[/C][/ROW]
[ROW][C]13[/C][C]-0.024107[/C][C]-0.5051[/C][C]0.693128[/C][/ROW]
[ROW][C]14[/C][C]0.03708[/C][C]0.7769[/C][C]0.218812[/C][/ROW]
[ROW][C]15[/C][C]0.040326[/C][C]0.8449[/C][C]0.199304[/C][/ROW]
[ROW][C]16[/C][C]0.073324[/C][C]1.5363[/C][C]0.062592[/C][/ROW]
[ROW][C]17[/C][C]0.025533[/C][C]0.535[/C][C]0.296471[/C][/ROW]
[ROW][C]18[/C][C]0.076615[/C][C]1.6053[/C][C]0.054578[/C][/ROW]
[ROW][C]19[/C][C]-0.041552[/C][C]-0.8706[/C][C]0.807777[/C][/ROW]
[ROW][C]20[/C][C]-0.042828[/C][C]-0.8973[/C][C]0.814987[/C][/ROW]
[ROW][C]21[/C][C]0.10831[/C][C]2.2694[/C][C]0.011866[/C][/ROW]
[ROW][C]22[/C][C]0.093288[/C][C]1.9546[/C][C]0.025632[/C][/ROW]
[ROW][C]23[/C][C]0.077431[/C][C]1.6224[/C][C]0.052722[/C][/ROW]
[ROW][C]24[/C][C]0.021564[/C][C]0.4518[/C][C]0.325816[/C][/ROW]
[ROW][C]25[/C][C]-0.071812[/C][C]-1.5046[/C][C]0.933431[/C][/ROW]
[ROW][C]26[/C][C]0.005307[/C][C]0.1112[/C][C]0.45576[/C][/ROW]
[ROW][C]27[/C][C]-0.08028[/C][C]-1.682[/C][C]0.953365[/C][/ROW]
[ROW][C]28[/C][C]-0.061991[/C][C]-1.2988[/C][C]0.902661[/C][/ROW]
[ROW][C]29[/C][C]0.012145[/C][C]0.2545[/C][C]0.39963[/C][/ROW]
[ROW][C]30[/C][C]0.055511[/C][C]1.1631[/C][C]0.122714[/C][/ROW]
[ROW][C]31[/C][C]0.103199[/C][C]2.1623[/C][C]0.015569[/C][/ROW]
[ROW][C]32[/C][C]-0.000618[/C][C]-0.0129[/C][C]0.505163[/C][/ROW]
[ROW][C]33[/C][C]-0.094767[/C][C]-1.9856[/C][C]0.97615[/C][/ROW]
[ROW][C]34[/C][C]-0.107878[/C][C]-2.2603[/C][C]0.987854[/C][/ROW]
[ROW][C]35[/C][C]-0.097267[/C][C]-2.038[/C][C]0.978924[/C][/ROW]
[ROW][C]36[/C][C]-0.079211[/C][C]-1.6596[/C][C]0.95115[/C][/ROW]
[ROW][C]37[/C][C]-0.057134[/C][C]-1.1971[/C][C]0.88404[/C][/ROW]
[ROW][C]38[/C][C]-0.078149[/C][C]-1.6374[/C][C]0.948868[/C][/ROW]
[ROW][C]39[/C][C]-0.011558[/C][C]-0.2422[/C][C]0.595615[/C][/ROW]
[ROW][C]40[/C][C]0.032279[/C][C]0.6763[/C][C]0.249594[/C][/ROW]
[ROW][C]41[/C][C]0.005318[/C][C]0.1114[/C][C]0.455663[/C][/ROW]
[ROW][C]42[/C][C]-0.069352[/C][C]-1.4531[/C][C]0.926542[/C][/ROW]
[ROW][C]43[/C][C]0.040155[/C][C]0.8413[/C][C]0.200309[/C][/ROW]
[ROW][C]44[/C][C]0.128884[/C][C]2.7004[/C][C]0.003597[/C][/ROW]
[ROW][C]45[/C][C]0.140854[/C][C]2.9512[/C][C]0.001667[/C][/ROW]
[ROW][C]46[/C][C]0.155576[/C][C]3.2597[/C][C]0.000601[/C][/ROW]
[ROW][C]47[/C][C]0.126203[/C][C]2.6442[/C][C]0.00424[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2340&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2340&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Autocorrelation Function
Time lag kACF(k)T-STATP-value
0120.95230
10.2512475.26420
20.0476980.99940.159078
30.0782921.64040.05082
4-0.062647-1.31260.904998
5-0.002833-0.05930.52365
6-0.073057-1.53070.936721
7-0.043799-0.91770.82036
80.0352750.73910.23012
9-0.134997-2.82850.997555
10-0.100243-2.10030.981865
11-0.199157-4.17280.999982
12-0.492534-10.31971
13-0.024107-0.50510.693128
140.037080.77690.218812
150.0403260.84490.199304
160.0733241.53630.062592
170.0255330.5350.296471
180.0766151.60530.054578
19-0.041552-0.87060.807777
20-0.042828-0.89730.814987
210.108312.26940.011866
220.0932881.95460.025632
230.0774311.62240.052722
240.0215640.45180.325816
25-0.071812-1.50460.933431
260.0053070.11120.45576
27-0.08028-1.6820.953365
28-0.061991-1.29880.902661
290.0121450.25450.39963
300.0555111.16310.122714
310.1031992.16230.015569
32-0.000618-0.01290.505163
33-0.094767-1.98560.97615
34-0.107878-2.26030.987854
35-0.097267-2.0380.978924
36-0.079211-1.65960.95115
37-0.057134-1.19710.88404
38-0.078149-1.63740.948868
39-0.011558-0.24220.595615
400.0322790.67630.249594
410.0053180.11140.455663
42-0.069352-1.45310.926542
430.0401550.84130.200309
440.1288842.70040.003597
450.1408542.95120.001667
460.1555763.25970.000601
470.1262032.64420.00424






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.2512475.26420
1-0.016466-0.3450.634869
20.0750011.57140.0584
3-0.107245-2.2470.987433
40.0422430.88510.188299
5-0.095929-2.00990.977476
60.0149540.31330.377096
70.0344530.72190.235379
8-0.14978-3.13820.999093
9-0.039555-0.82880.796155
10-0.194478-4.07480.999973
11-0.429236-8.99351
120.2120684.44336e-06
130.0064880.13590.445969
140.072091.51050.065823
15-0.048864-1.02380.846758
160.0209140.43820.330729
17-0.039562-0.82890.796199
18-0.082297-1.72430.957322
190.0138510.29020.385897
20-0.001536-0.03220.512834
210.0472340.98970.161444
22-0.088427-1.85270.967705
23-0.250344-5.24531
240.094261.9750.024449
250.0676541.41750.078521
26-0.027274-0.57150.716011
27-0.04349-0.91120.818661
280.0300720.63010.264488
290.0889291.86330.031545
30-0.018611-0.38990.651618
31-0.029829-0.6250.73385
32-0.067923-1.42310.922297
33-0.067163-1.40720.919965
34-0.101142-2.11920.982681
35-0.257004-5.38481
360.0015460.03240.487088
37-0.019971-0.41840.662083
38-0.080548-1.68770.953906
390.023640.49530.310314
400.0464660.97360.165402
41-0.004003-0.08390.533403
420.0888321.86120.03169
430.0329630.69070.245074
440.0452470.9480.171819
450.0425160.89080.18676
46-0.014292-0.29940.61763
47-0.094746-1.98510.976125

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
0 & 0.251247 & 5.2642 & 0 \tabularnewline
1 & -0.016466 & -0.345 & 0.634869 \tabularnewline
2 & 0.075001 & 1.5714 & 0.0584 \tabularnewline
3 & -0.107245 & -2.247 & 0.987433 \tabularnewline
4 & 0.042243 & 0.8851 & 0.188299 \tabularnewline
5 & -0.095929 & -2.0099 & 0.977476 \tabularnewline
6 & 0.014954 & 0.3133 & 0.377096 \tabularnewline
7 & 0.034453 & 0.7219 & 0.235379 \tabularnewline
8 & -0.14978 & -3.1382 & 0.999093 \tabularnewline
9 & -0.039555 & -0.8288 & 0.796155 \tabularnewline
10 & -0.194478 & -4.0748 & 0.999973 \tabularnewline
11 & -0.429236 & -8.9935 & 1 \tabularnewline
12 & 0.212068 & 4.4433 & 6e-06 \tabularnewline
13 & 0.006488 & 0.1359 & 0.445969 \tabularnewline
14 & 0.07209 & 1.5105 & 0.065823 \tabularnewline
15 & -0.048864 & -1.0238 & 0.846758 \tabularnewline
16 & 0.020914 & 0.4382 & 0.330729 \tabularnewline
17 & -0.039562 & -0.8289 & 0.796199 \tabularnewline
18 & -0.082297 & -1.7243 & 0.957322 \tabularnewline
19 & 0.013851 & 0.2902 & 0.385897 \tabularnewline
20 & -0.001536 & -0.0322 & 0.512834 \tabularnewline
21 & 0.047234 & 0.9897 & 0.161444 \tabularnewline
22 & -0.088427 & -1.8527 & 0.967705 \tabularnewline
23 & -0.250344 & -5.2453 & 1 \tabularnewline
24 & 0.09426 & 1.975 & 0.024449 \tabularnewline
25 & 0.067654 & 1.4175 & 0.078521 \tabularnewline
26 & -0.027274 & -0.5715 & 0.716011 \tabularnewline
27 & -0.04349 & -0.9112 & 0.818661 \tabularnewline
28 & 0.030072 & 0.6301 & 0.264488 \tabularnewline
29 & 0.088929 & 1.8633 & 0.031545 \tabularnewline
30 & -0.018611 & -0.3899 & 0.651618 \tabularnewline
31 & -0.029829 & -0.625 & 0.73385 \tabularnewline
32 & -0.067923 & -1.4231 & 0.922297 \tabularnewline
33 & -0.067163 & -1.4072 & 0.919965 \tabularnewline
34 & -0.101142 & -2.1192 & 0.982681 \tabularnewline
35 & -0.257004 & -5.3848 & 1 \tabularnewline
36 & 0.001546 & 0.0324 & 0.487088 \tabularnewline
37 & -0.019971 & -0.4184 & 0.662083 \tabularnewline
38 & -0.080548 & -1.6877 & 0.953906 \tabularnewline
39 & 0.02364 & 0.4953 & 0.310314 \tabularnewline
40 & 0.046466 & 0.9736 & 0.165402 \tabularnewline
41 & -0.004003 & -0.0839 & 0.533403 \tabularnewline
42 & 0.088832 & 1.8612 & 0.03169 \tabularnewline
43 & 0.032963 & 0.6907 & 0.245074 \tabularnewline
44 & 0.045247 & 0.948 & 0.171819 \tabularnewline
45 & 0.042516 & 0.8908 & 0.18676 \tabularnewline
46 & -0.014292 & -0.2994 & 0.61763 \tabularnewline
47 & -0.094746 & -1.9851 & 0.976125 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2340&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]0[/C][C]0.251247[/C][C]5.2642[/C][C]0[/C][/ROW]
[ROW][C]1[/C][C]-0.016466[/C][C]-0.345[/C][C]0.634869[/C][/ROW]
[ROW][C]2[/C][C]0.075001[/C][C]1.5714[/C][C]0.0584[/C][/ROW]
[ROW][C]3[/C][C]-0.107245[/C][C]-2.247[/C][C]0.987433[/C][/ROW]
[ROW][C]4[/C][C]0.042243[/C][C]0.8851[/C][C]0.188299[/C][/ROW]
[ROW][C]5[/C][C]-0.095929[/C][C]-2.0099[/C][C]0.977476[/C][/ROW]
[ROW][C]6[/C][C]0.014954[/C][C]0.3133[/C][C]0.377096[/C][/ROW]
[ROW][C]7[/C][C]0.034453[/C][C]0.7219[/C][C]0.235379[/C][/ROW]
[ROW][C]8[/C][C]-0.14978[/C][C]-3.1382[/C][C]0.999093[/C][/ROW]
[ROW][C]9[/C][C]-0.039555[/C][C]-0.8288[/C][C]0.796155[/C][/ROW]
[ROW][C]10[/C][C]-0.194478[/C][C]-4.0748[/C][C]0.999973[/C][/ROW]
[ROW][C]11[/C][C]-0.429236[/C][C]-8.9935[/C][C]1[/C][/ROW]
[ROW][C]12[/C][C]0.212068[/C][C]4.4433[/C][C]6e-06[/C][/ROW]
[ROW][C]13[/C][C]0.006488[/C][C]0.1359[/C][C]0.445969[/C][/ROW]
[ROW][C]14[/C][C]0.07209[/C][C]1.5105[/C][C]0.065823[/C][/ROW]
[ROW][C]15[/C][C]-0.048864[/C][C]-1.0238[/C][C]0.846758[/C][/ROW]
[ROW][C]16[/C][C]0.020914[/C][C]0.4382[/C][C]0.330729[/C][/ROW]
[ROW][C]17[/C][C]-0.039562[/C][C]-0.8289[/C][C]0.796199[/C][/ROW]
[ROW][C]18[/C][C]-0.082297[/C][C]-1.7243[/C][C]0.957322[/C][/ROW]
[ROW][C]19[/C][C]0.013851[/C][C]0.2902[/C][C]0.385897[/C][/ROW]
[ROW][C]20[/C][C]-0.001536[/C][C]-0.0322[/C][C]0.512834[/C][/ROW]
[ROW][C]21[/C][C]0.047234[/C][C]0.9897[/C][C]0.161444[/C][/ROW]
[ROW][C]22[/C][C]-0.088427[/C][C]-1.8527[/C][C]0.967705[/C][/ROW]
[ROW][C]23[/C][C]-0.250344[/C][C]-5.2453[/C][C]1[/C][/ROW]
[ROW][C]24[/C][C]0.09426[/C][C]1.975[/C][C]0.024449[/C][/ROW]
[ROW][C]25[/C][C]0.067654[/C][C]1.4175[/C][C]0.078521[/C][/ROW]
[ROW][C]26[/C][C]-0.027274[/C][C]-0.5715[/C][C]0.716011[/C][/ROW]
[ROW][C]27[/C][C]-0.04349[/C][C]-0.9112[/C][C]0.818661[/C][/ROW]
[ROW][C]28[/C][C]0.030072[/C][C]0.6301[/C][C]0.264488[/C][/ROW]
[ROW][C]29[/C][C]0.088929[/C][C]1.8633[/C][C]0.031545[/C][/ROW]
[ROW][C]30[/C][C]-0.018611[/C][C]-0.3899[/C][C]0.651618[/C][/ROW]
[ROW][C]31[/C][C]-0.029829[/C][C]-0.625[/C][C]0.73385[/C][/ROW]
[ROW][C]32[/C][C]-0.067923[/C][C]-1.4231[/C][C]0.922297[/C][/ROW]
[ROW][C]33[/C][C]-0.067163[/C][C]-1.4072[/C][C]0.919965[/C][/ROW]
[ROW][C]34[/C][C]-0.101142[/C][C]-2.1192[/C][C]0.982681[/C][/ROW]
[ROW][C]35[/C][C]-0.257004[/C][C]-5.3848[/C][C]1[/C][/ROW]
[ROW][C]36[/C][C]0.001546[/C][C]0.0324[/C][C]0.487088[/C][/ROW]
[ROW][C]37[/C][C]-0.019971[/C][C]-0.4184[/C][C]0.662083[/C][/ROW]
[ROW][C]38[/C][C]-0.080548[/C][C]-1.6877[/C][C]0.953906[/C][/ROW]
[ROW][C]39[/C][C]0.02364[/C][C]0.4953[/C][C]0.310314[/C][/ROW]
[ROW][C]40[/C][C]0.046466[/C][C]0.9736[/C][C]0.165402[/C][/ROW]
[ROW][C]41[/C][C]-0.004003[/C][C]-0.0839[/C][C]0.533403[/C][/ROW]
[ROW][C]42[/C][C]0.088832[/C][C]1.8612[/C][C]0.03169[/C][/ROW]
[ROW][C]43[/C][C]0.032963[/C][C]0.6907[/C][C]0.245074[/C][/ROW]
[ROW][C]44[/C][C]0.045247[/C][C]0.948[/C][C]0.171819[/C][/ROW]
[ROW][C]45[/C][C]0.042516[/C][C]0.8908[/C][C]0.18676[/C][/ROW]
[ROW][C]46[/C][C]-0.014292[/C][C]-0.2994[/C][C]0.61763[/C][/ROW]
[ROW][C]47[/C][C]-0.094746[/C][C]-1.9851[/C][C]0.976125[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2340&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2340&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
00.2512475.26420
1-0.016466-0.3450.634869
20.0750011.57140.0584
3-0.107245-2.2470.987433
40.0422430.88510.188299
5-0.095929-2.00990.977476
60.0149540.31330.377096
70.0344530.72190.235379
8-0.14978-3.13820.999093
9-0.039555-0.82880.796155
10-0.194478-4.07480.999973
11-0.429236-8.99351
120.2120684.44336e-06
130.0064880.13590.445969
140.072091.51050.065823
15-0.048864-1.02380.846758
160.0209140.43820.330729
17-0.039562-0.82890.796199
18-0.082297-1.72430.957322
190.0138510.29020.385897
20-0.001536-0.03220.512834
210.0472340.98970.161444
22-0.088427-1.85270.967705
23-0.250344-5.24531
240.094261.9750.024449
250.0676541.41750.078521
26-0.027274-0.57150.716011
27-0.04349-0.91120.818661
280.0300720.63010.264488
290.0889291.86330.031545
30-0.018611-0.38990.651618
31-0.029829-0.6250.73385
32-0.067923-1.42310.922297
33-0.067163-1.40720.919965
34-0.101142-2.11920.982681
35-0.257004-5.38481
360.0015460.03240.487088
37-0.019971-0.41840.662083
38-0.080548-1.68770.953906
390.023640.49530.310314
400.0464660.97360.165402
41-0.004003-0.08390.533403
420.0888321.86120.03169
430.0329630.69070.245074
440.0452470.9480.171819
450.0425160.89080.18676
46-0.014292-0.29940.61763
47-0.094746-1.98510.976125


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ;
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ;
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 (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x,par1,main='Autocorrelation',xlab='lags',ylab='ACF')
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
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 1:par1) {
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(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-1,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(mytstat,lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')