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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationWed, 15 Dec 2010 19:15:31 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/15/t12924406213ct7bnsufijuwaf.htm/, Retrieved Fri, 03 May 2024 10:36:35 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110675, Retrieved Fri, 03 May 2024 10:36:35 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact174
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Spectral Analysis] [Unemployment] [2010-11-29 09:21:38] [b98453cac15ba1066b407e146608df68]
-    D    [Spectral Analysis] [WS8 Cumulatieve P...] [2010-12-02 17:43:04] [74be16979710d4c4e7c6647856088456]
- RMPD        [(Partial) Autocorrelation Function] [Paper DMA ACF, PA...] [2010-12-15 19:15:31] [f92ba2b01007f169e2985fcc57236bd0] [Current]
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Dataseries X:
25,64
27,97
27,62
23,31
29,07
29,58
28,63
29,92
32,68
31,54
32,43
26,54
25,85
27,6
25,71
25,38
28,57
27,64
25,36
25,9
26,29
21,74
19,2
19,32
19,82
20,36
24,31
25,97
25,61
24,67
25,59
26,09
28,37
27,34
24,46
27,46
30,23
32,33
29,87
24,87
25,48
27,28
28,24
29,58
26,95
29,08
28,76
29,59
30,7
30,52
32,67
33,19
37,13
35,54
37,75
41,84
42,94
49,14
44,61
40,22
44,23
45,85
53,38
53,26
51,8
55,3
57,81
63,96
63,77
59,15
56,12
57,42
63,52
61,71
63,01
68,18
72,03
69,75
74,41
74,33
64,24
60,03
59,44
62,5
55,04
58,34
61,92
67,65
67,68
70,3
75,26
71,44
76,36
81,71
92,6
90,6
92,23
94,09
102,79
109,65
124,05
132,69
135,81
116,07
101,42
75,73
55,48
43,8
45,29




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110675&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110675&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110675&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.1508421.56760.059951
2-0.086445-0.89840.185496
30.0377580.39240.347769
4-0.02056-0.21370.415606
5-0.020744-0.21560.414862
6-0.022369-0.23250.408308
7-0.072594-0.75440.226119
8-0.067451-0.7010.242414
9-0.007935-0.08250.467217
100.1152311.19750.116863
110.0900290.93560.17578
120.0282740.29380.384724
13-0.210385-2.18640.015473
14-0.142509-1.4810.070759
150.0358510.37260.355097
16-0.018899-0.19640.42233
17-0.072717-0.75570.225737
18-0.062022-0.64450.260294
190.0693970.72120.236175
200.0208160.21630.414569
21-0.036692-0.38130.351861
220.1222261.27020.10337
23-0.057225-0.59470.276645
24-0.029739-0.30910.378935
250.157251.63420.052565
260.0612760.63680.262801
270.0233130.24230.404512
280.0059830.06220.47527
29-0.063545-0.66040.25521
300.0021010.02180.49131
310.0461140.47920.316373
32-0.048158-0.50050.308881
33-0.066276-0.68880.246227
34-0.102685-1.06710.144146
350.0089510.0930.463029
360.1129551.17390.121517
370.0687170.71410.238344
38-0.016674-0.17330.431376
39-0.068657-0.71350.238538
40-0.054361-0.56490.286645
410.0321010.33360.369664
420.0129340.13440.446661
43-0.092763-0.9640.168594
44-0.054615-0.56760.285749
45-0.063917-0.66420.253974
460.0166110.17260.431634
470.0724090.75250.226696
480.0574530.59710.275857
49-0.057843-0.60110.274509
50-0.031438-0.32670.37226
51-0.058782-0.61090.271282
52-0.010503-0.10920.456642
53-0.016779-0.17440.430951
54-0.155265-1.61360.05477
55-0.077901-0.80960.209982
560.0107690.11190.455549
57-0.032327-0.3360.368778
580.026240.27270.392804
590.0505480.52530.300222
60-0.014694-0.15270.439457

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.150842 & 1.5676 & 0.059951 \tabularnewline
2 & -0.086445 & -0.8984 & 0.185496 \tabularnewline
3 & 0.037758 & 0.3924 & 0.347769 \tabularnewline
4 & -0.02056 & -0.2137 & 0.415606 \tabularnewline
5 & -0.020744 & -0.2156 & 0.414862 \tabularnewline
6 & -0.022369 & -0.2325 & 0.408308 \tabularnewline
7 & -0.072594 & -0.7544 & 0.226119 \tabularnewline
8 & -0.067451 & -0.701 & 0.242414 \tabularnewline
9 & -0.007935 & -0.0825 & 0.467217 \tabularnewline
10 & 0.115231 & 1.1975 & 0.116863 \tabularnewline
11 & 0.090029 & 0.9356 & 0.17578 \tabularnewline
12 & 0.028274 & 0.2938 & 0.384724 \tabularnewline
13 & -0.210385 & -2.1864 & 0.015473 \tabularnewline
14 & -0.142509 & -1.481 & 0.070759 \tabularnewline
15 & 0.035851 & 0.3726 & 0.355097 \tabularnewline
16 & -0.018899 & -0.1964 & 0.42233 \tabularnewline
17 & -0.072717 & -0.7557 & 0.225737 \tabularnewline
18 & -0.062022 & -0.6445 & 0.260294 \tabularnewline
19 & 0.069397 & 0.7212 & 0.236175 \tabularnewline
20 & 0.020816 & 0.2163 & 0.414569 \tabularnewline
21 & -0.036692 & -0.3813 & 0.351861 \tabularnewline
22 & 0.122226 & 1.2702 & 0.10337 \tabularnewline
23 & -0.057225 & -0.5947 & 0.276645 \tabularnewline
24 & -0.029739 & -0.3091 & 0.378935 \tabularnewline
25 & 0.15725 & 1.6342 & 0.052565 \tabularnewline
26 & 0.061276 & 0.6368 & 0.262801 \tabularnewline
27 & 0.023313 & 0.2423 & 0.404512 \tabularnewline
28 & 0.005983 & 0.0622 & 0.47527 \tabularnewline
29 & -0.063545 & -0.6604 & 0.25521 \tabularnewline
30 & 0.002101 & 0.0218 & 0.49131 \tabularnewline
31 & 0.046114 & 0.4792 & 0.316373 \tabularnewline
32 & -0.048158 & -0.5005 & 0.308881 \tabularnewline
33 & -0.066276 & -0.6888 & 0.246227 \tabularnewline
34 & -0.102685 & -1.0671 & 0.144146 \tabularnewline
35 & 0.008951 & 0.093 & 0.463029 \tabularnewline
36 & 0.112955 & 1.1739 & 0.121517 \tabularnewline
37 & 0.068717 & 0.7141 & 0.238344 \tabularnewline
38 & -0.016674 & -0.1733 & 0.431376 \tabularnewline
39 & -0.068657 & -0.7135 & 0.238538 \tabularnewline
40 & -0.054361 & -0.5649 & 0.286645 \tabularnewline
41 & 0.032101 & 0.3336 & 0.369664 \tabularnewline
42 & 0.012934 & 0.1344 & 0.446661 \tabularnewline
43 & -0.092763 & -0.964 & 0.168594 \tabularnewline
44 & -0.054615 & -0.5676 & 0.285749 \tabularnewline
45 & -0.063917 & -0.6642 & 0.253974 \tabularnewline
46 & 0.016611 & 0.1726 & 0.431634 \tabularnewline
47 & 0.072409 & 0.7525 & 0.226696 \tabularnewline
48 & 0.057453 & 0.5971 & 0.275857 \tabularnewline
49 & -0.057843 & -0.6011 & 0.274509 \tabularnewline
50 & -0.031438 & -0.3267 & 0.37226 \tabularnewline
51 & -0.058782 & -0.6109 & 0.271282 \tabularnewline
52 & -0.010503 & -0.1092 & 0.456642 \tabularnewline
53 & -0.016779 & -0.1744 & 0.430951 \tabularnewline
54 & -0.155265 & -1.6136 & 0.05477 \tabularnewline
55 & -0.077901 & -0.8096 & 0.209982 \tabularnewline
56 & 0.010769 & 0.1119 & 0.455549 \tabularnewline
57 & -0.032327 & -0.336 & 0.368778 \tabularnewline
58 & 0.02624 & 0.2727 & 0.392804 \tabularnewline
59 & 0.050548 & 0.5253 & 0.300222 \tabularnewline
60 & -0.014694 & -0.1527 & 0.439457 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110675&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]0.150842[/C][C]1.5676[/C][C]0.059951[/C][/ROW]
[ROW][C]2[/C][C]-0.086445[/C][C]-0.8984[/C][C]0.185496[/C][/ROW]
[ROW][C]3[/C][C]0.037758[/C][C]0.3924[/C][C]0.347769[/C][/ROW]
[ROW][C]4[/C][C]-0.02056[/C][C]-0.2137[/C][C]0.415606[/C][/ROW]
[ROW][C]5[/C][C]-0.020744[/C][C]-0.2156[/C][C]0.414862[/C][/ROW]
[ROW][C]6[/C][C]-0.022369[/C][C]-0.2325[/C][C]0.408308[/C][/ROW]
[ROW][C]7[/C][C]-0.072594[/C][C]-0.7544[/C][C]0.226119[/C][/ROW]
[ROW][C]8[/C][C]-0.067451[/C][C]-0.701[/C][C]0.242414[/C][/ROW]
[ROW][C]9[/C][C]-0.007935[/C][C]-0.0825[/C][C]0.467217[/C][/ROW]
[ROW][C]10[/C][C]0.115231[/C][C]1.1975[/C][C]0.116863[/C][/ROW]
[ROW][C]11[/C][C]0.090029[/C][C]0.9356[/C][C]0.17578[/C][/ROW]
[ROW][C]12[/C][C]0.028274[/C][C]0.2938[/C][C]0.384724[/C][/ROW]
[ROW][C]13[/C][C]-0.210385[/C][C]-2.1864[/C][C]0.015473[/C][/ROW]
[ROW][C]14[/C][C]-0.142509[/C][C]-1.481[/C][C]0.070759[/C][/ROW]
[ROW][C]15[/C][C]0.035851[/C][C]0.3726[/C][C]0.355097[/C][/ROW]
[ROW][C]16[/C][C]-0.018899[/C][C]-0.1964[/C][C]0.42233[/C][/ROW]
[ROW][C]17[/C][C]-0.072717[/C][C]-0.7557[/C][C]0.225737[/C][/ROW]
[ROW][C]18[/C][C]-0.062022[/C][C]-0.6445[/C][C]0.260294[/C][/ROW]
[ROW][C]19[/C][C]0.069397[/C][C]0.7212[/C][C]0.236175[/C][/ROW]
[ROW][C]20[/C][C]0.020816[/C][C]0.2163[/C][C]0.414569[/C][/ROW]
[ROW][C]21[/C][C]-0.036692[/C][C]-0.3813[/C][C]0.351861[/C][/ROW]
[ROW][C]22[/C][C]0.122226[/C][C]1.2702[/C][C]0.10337[/C][/ROW]
[ROW][C]23[/C][C]-0.057225[/C][C]-0.5947[/C][C]0.276645[/C][/ROW]
[ROW][C]24[/C][C]-0.029739[/C][C]-0.3091[/C][C]0.378935[/C][/ROW]
[ROW][C]25[/C][C]0.15725[/C][C]1.6342[/C][C]0.052565[/C][/ROW]
[ROW][C]26[/C][C]0.061276[/C][C]0.6368[/C][C]0.262801[/C][/ROW]
[ROW][C]27[/C][C]0.023313[/C][C]0.2423[/C][C]0.404512[/C][/ROW]
[ROW][C]28[/C][C]0.005983[/C][C]0.0622[/C][C]0.47527[/C][/ROW]
[ROW][C]29[/C][C]-0.063545[/C][C]-0.6604[/C][C]0.25521[/C][/ROW]
[ROW][C]30[/C][C]0.002101[/C][C]0.0218[/C][C]0.49131[/C][/ROW]
[ROW][C]31[/C][C]0.046114[/C][C]0.4792[/C][C]0.316373[/C][/ROW]
[ROW][C]32[/C][C]-0.048158[/C][C]-0.5005[/C][C]0.308881[/C][/ROW]
[ROW][C]33[/C][C]-0.066276[/C][C]-0.6888[/C][C]0.246227[/C][/ROW]
[ROW][C]34[/C][C]-0.102685[/C][C]-1.0671[/C][C]0.144146[/C][/ROW]
[ROW][C]35[/C][C]0.008951[/C][C]0.093[/C][C]0.463029[/C][/ROW]
[ROW][C]36[/C][C]0.112955[/C][C]1.1739[/C][C]0.121517[/C][/ROW]
[ROW][C]37[/C][C]0.068717[/C][C]0.7141[/C][C]0.238344[/C][/ROW]
[ROW][C]38[/C][C]-0.016674[/C][C]-0.1733[/C][C]0.431376[/C][/ROW]
[ROW][C]39[/C][C]-0.068657[/C][C]-0.7135[/C][C]0.238538[/C][/ROW]
[ROW][C]40[/C][C]-0.054361[/C][C]-0.5649[/C][C]0.286645[/C][/ROW]
[ROW][C]41[/C][C]0.032101[/C][C]0.3336[/C][C]0.369664[/C][/ROW]
[ROW][C]42[/C][C]0.012934[/C][C]0.1344[/C][C]0.446661[/C][/ROW]
[ROW][C]43[/C][C]-0.092763[/C][C]-0.964[/C][C]0.168594[/C][/ROW]
[ROW][C]44[/C][C]-0.054615[/C][C]-0.5676[/C][C]0.285749[/C][/ROW]
[ROW][C]45[/C][C]-0.063917[/C][C]-0.6642[/C][C]0.253974[/C][/ROW]
[ROW][C]46[/C][C]0.016611[/C][C]0.1726[/C][C]0.431634[/C][/ROW]
[ROW][C]47[/C][C]0.072409[/C][C]0.7525[/C][C]0.226696[/C][/ROW]
[ROW][C]48[/C][C]0.057453[/C][C]0.5971[/C][C]0.275857[/C][/ROW]
[ROW][C]49[/C][C]-0.057843[/C][C]-0.6011[/C][C]0.274509[/C][/ROW]
[ROW][C]50[/C][C]-0.031438[/C][C]-0.3267[/C][C]0.37226[/C][/ROW]
[ROW][C]51[/C][C]-0.058782[/C][C]-0.6109[/C][C]0.271282[/C][/ROW]
[ROW][C]52[/C][C]-0.010503[/C][C]-0.1092[/C][C]0.456642[/C][/ROW]
[ROW][C]53[/C][C]-0.016779[/C][C]-0.1744[/C][C]0.430951[/C][/ROW]
[ROW][C]54[/C][C]-0.155265[/C][C]-1.6136[/C][C]0.05477[/C][/ROW]
[ROW][C]55[/C][C]-0.077901[/C][C]-0.8096[/C][C]0.209982[/C][/ROW]
[ROW][C]56[/C][C]0.010769[/C][C]0.1119[/C][C]0.455549[/C][/ROW]
[ROW][C]57[/C][C]-0.032327[/C][C]-0.336[/C][C]0.368778[/C][/ROW]
[ROW][C]58[/C][C]0.02624[/C][C]0.2727[/C][C]0.392804[/C][/ROW]
[ROW][C]59[/C][C]0.050548[/C][C]0.5253[/C][C]0.300222[/C][/ROW]
[ROW][C]60[/C][C]-0.014694[/C][C]-0.1527[/C][C]0.439457[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110675&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110675&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
10.1508421.56760.059951
2-0.086445-0.89840.185496
30.0377580.39240.347769
4-0.02056-0.21370.415606
5-0.020744-0.21560.414862
6-0.022369-0.23250.408308
7-0.072594-0.75440.226119
8-0.067451-0.7010.242414
9-0.007935-0.08250.467217
100.1152311.19750.116863
110.0900290.93560.17578
120.0282740.29380.384724
13-0.210385-2.18640.015473
14-0.142509-1.4810.070759
150.0358510.37260.355097
16-0.018899-0.19640.42233
17-0.072717-0.75570.225737
18-0.062022-0.64450.260294
190.0693970.72120.236175
200.0208160.21630.414569
21-0.036692-0.38130.351861
220.1222261.27020.10337
23-0.057225-0.59470.276645
24-0.029739-0.30910.378935
250.157251.63420.052565
260.0612760.63680.262801
270.0233130.24230.404512
280.0059830.06220.47527
29-0.063545-0.66040.25521
300.0021010.02180.49131
310.0461140.47920.316373
32-0.048158-0.50050.308881
33-0.066276-0.68880.246227
34-0.102685-1.06710.144146
350.0089510.0930.463029
360.1129551.17390.121517
370.0687170.71410.238344
38-0.016674-0.17330.431376
39-0.068657-0.71350.238538
40-0.054361-0.56490.286645
410.0321010.33360.369664
420.0129340.13440.446661
43-0.092763-0.9640.168594
44-0.054615-0.56760.285749
45-0.063917-0.66420.253974
460.0166110.17260.431634
470.0724090.75250.226696
480.0574530.59710.275857
49-0.057843-0.60110.274509
50-0.031438-0.32670.37226
51-0.058782-0.61090.271282
52-0.010503-0.10920.456642
53-0.016779-0.17440.430951
54-0.155265-1.61360.05477
55-0.077901-0.80960.209982
560.0107690.11190.455549
57-0.032327-0.3360.368778
580.026240.27270.392804
590.0505480.52530.300222
60-0.014694-0.15270.439457







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.1508421.56760.059951
2-0.11174-1.16120.124052
30.0716130.74420.229178
4-0.050718-0.52710.299612
50.0025730.02670.489359
6-0.030481-0.31680.376015
7-0.065038-0.67590.250278
8-0.051078-0.53080.298316
9-0.001242-0.01290.494864
100.1155171.20050.116288
110.0550030.57160.284388
120.0260410.27060.393599
13-0.236975-2.46270.007685
14-0.082663-0.85910.196104
150.0237160.24650.402894
16-0.014358-0.14920.440832
17-0.039318-0.40860.34182
18-0.049717-0.51670.303222
190.0919650.95570.170672
20-0.054295-0.56420.286878
21-0.073443-0.76320.223493
220.1049141.09030.139005
23-0.067628-0.70280.241842
240.0731190.75990.224492
250.1515851.57530.059053
26-0.00465-0.04830.480774
270.0053440.05550.477907
28-0.000924-0.00960.496177
29-0.070704-0.73480.232033
30-0.001594-0.01660.493408
310.0242610.25210.40071
32-0.023803-0.24740.402545
33-0.010092-0.10490.458334
34-0.1661-1.72620.043589
350.0602380.6260.266312
360.0771610.80190.212191
370.0196290.2040.419372
380.0506340.52620.299911
39-0.037495-0.38970.348777
40-0.033199-0.3450.365376
410.017120.17790.429561
42-0.000573-0.0060.49763
43-0.056228-0.58430.280105
44-0.010578-0.10990.456334
45-0.06396-0.66470.253831
460.0169150.17580.430397
47-0.078785-0.81880.207363
480.0577990.60070.274661
49-0.026227-0.27260.392858
50-0.038622-0.40140.344468
51-0.069654-0.72390.235355
52-0.020422-0.21220.416163
53-0.033421-0.34730.364512
54-0.116194-1.20750.114934
55-0.034765-0.36130.359295
56-0.008681-0.09020.46414
57-0.069559-0.72290.235659
58-0.01319-0.13710.445615
590.0756130.78580.216855
60-0.065031-0.67580.250299

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.150842 & 1.5676 & 0.059951 \tabularnewline
2 & -0.11174 & -1.1612 & 0.124052 \tabularnewline
3 & 0.071613 & 0.7442 & 0.229178 \tabularnewline
4 & -0.050718 & -0.5271 & 0.299612 \tabularnewline
5 & 0.002573 & 0.0267 & 0.489359 \tabularnewline
6 & -0.030481 & -0.3168 & 0.376015 \tabularnewline
7 & -0.065038 & -0.6759 & 0.250278 \tabularnewline
8 & -0.051078 & -0.5308 & 0.298316 \tabularnewline
9 & -0.001242 & -0.0129 & 0.494864 \tabularnewline
10 & 0.115517 & 1.2005 & 0.116288 \tabularnewline
11 & 0.055003 & 0.5716 & 0.284388 \tabularnewline
12 & 0.026041 & 0.2706 & 0.393599 \tabularnewline
13 & -0.236975 & -2.4627 & 0.007685 \tabularnewline
14 & -0.082663 & -0.8591 & 0.196104 \tabularnewline
15 & 0.023716 & 0.2465 & 0.402894 \tabularnewline
16 & -0.014358 & -0.1492 & 0.440832 \tabularnewline
17 & -0.039318 & -0.4086 & 0.34182 \tabularnewline
18 & -0.049717 & -0.5167 & 0.303222 \tabularnewline
19 & 0.091965 & 0.9557 & 0.170672 \tabularnewline
20 & -0.054295 & -0.5642 & 0.286878 \tabularnewline
21 & -0.073443 & -0.7632 & 0.223493 \tabularnewline
22 & 0.104914 & 1.0903 & 0.139005 \tabularnewline
23 & -0.067628 & -0.7028 & 0.241842 \tabularnewline
24 & 0.073119 & 0.7599 & 0.224492 \tabularnewline
25 & 0.151585 & 1.5753 & 0.059053 \tabularnewline
26 & -0.00465 & -0.0483 & 0.480774 \tabularnewline
27 & 0.005344 & 0.0555 & 0.477907 \tabularnewline
28 & -0.000924 & -0.0096 & 0.496177 \tabularnewline
29 & -0.070704 & -0.7348 & 0.232033 \tabularnewline
30 & -0.001594 & -0.0166 & 0.493408 \tabularnewline
31 & 0.024261 & 0.2521 & 0.40071 \tabularnewline
32 & -0.023803 & -0.2474 & 0.402545 \tabularnewline
33 & -0.010092 & -0.1049 & 0.458334 \tabularnewline
34 & -0.1661 & -1.7262 & 0.043589 \tabularnewline
35 & 0.060238 & 0.626 & 0.266312 \tabularnewline
36 & 0.077161 & 0.8019 & 0.212191 \tabularnewline
37 & 0.019629 & 0.204 & 0.419372 \tabularnewline
38 & 0.050634 & 0.5262 & 0.299911 \tabularnewline
39 & -0.037495 & -0.3897 & 0.348777 \tabularnewline
40 & -0.033199 & -0.345 & 0.365376 \tabularnewline
41 & 0.01712 & 0.1779 & 0.429561 \tabularnewline
42 & -0.000573 & -0.006 & 0.49763 \tabularnewline
43 & -0.056228 & -0.5843 & 0.280105 \tabularnewline
44 & -0.010578 & -0.1099 & 0.456334 \tabularnewline
45 & -0.06396 & -0.6647 & 0.253831 \tabularnewline
46 & 0.016915 & 0.1758 & 0.430397 \tabularnewline
47 & -0.078785 & -0.8188 & 0.207363 \tabularnewline
48 & 0.057799 & 0.6007 & 0.274661 \tabularnewline
49 & -0.026227 & -0.2726 & 0.392858 \tabularnewline
50 & -0.038622 & -0.4014 & 0.344468 \tabularnewline
51 & -0.069654 & -0.7239 & 0.235355 \tabularnewline
52 & -0.020422 & -0.2122 & 0.416163 \tabularnewline
53 & -0.033421 & -0.3473 & 0.364512 \tabularnewline
54 & -0.116194 & -1.2075 & 0.114934 \tabularnewline
55 & -0.034765 & -0.3613 & 0.359295 \tabularnewline
56 & -0.008681 & -0.0902 & 0.46414 \tabularnewline
57 & -0.069559 & -0.7229 & 0.235659 \tabularnewline
58 & -0.01319 & -0.1371 & 0.445615 \tabularnewline
59 & 0.075613 & 0.7858 & 0.216855 \tabularnewline
60 & -0.065031 & -0.6758 & 0.250299 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110675&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]0.150842[/C][C]1.5676[/C][C]0.059951[/C][/ROW]
[ROW][C]2[/C][C]-0.11174[/C][C]-1.1612[/C][C]0.124052[/C][/ROW]
[ROW][C]3[/C][C]0.071613[/C][C]0.7442[/C][C]0.229178[/C][/ROW]
[ROW][C]4[/C][C]-0.050718[/C][C]-0.5271[/C][C]0.299612[/C][/ROW]
[ROW][C]5[/C][C]0.002573[/C][C]0.0267[/C][C]0.489359[/C][/ROW]
[ROW][C]6[/C][C]-0.030481[/C][C]-0.3168[/C][C]0.376015[/C][/ROW]
[ROW][C]7[/C][C]-0.065038[/C][C]-0.6759[/C][C]0.250278[/C][/ROW]
[ROW][C]8[/C][C]-0.051078[/C][C]-0.5308[/C][C]0.298316[/C][/ROW]
[ROW][C]9[/C][C]-0.001242[/C][C]-0.0129[/C][C]0.494864[/C][/ROW]
[ROW][C]10[/C][C]0.115517[/C][C]1.2005[/C][C]0.116288[/C][/ROW]
[ROW][C]11[/C][C]0.055003[/C][C]0.5716[/C][C]0.284388[/C][/ROW]
[ROW][C]12[/C][C]0.026041[/C][C]0.2706[/C][C]0.393599[/C][/ROW]
[ROW][C]13[/C][C]-0.236975[/C][C]-2.4627[/C][C]0.007685[/C][/ROW]
[ROW][C]14[/C][C]-0.082663[/C][C]-0.8591[/C][C]0.196104[/C][/ROW]
[ROW][C]15[/C][C]0.023716[/C][C]0.2465[/C][C]0.402894[/C][/ROW]
[ROW][C]16[/C][C]-0.014358[/C][C]-0.1492[/C][C]0.440832[/C][/ROW]
[ROW][C]17[/C][C]-0.039318[/C][C]-0.4086[/C][C]0.34182[/C][/ROW]
[ROW][C]18[/C][C]-0.049717[/C][C]-0.5167[/C][C]0.303222[/C][/ROW]
[ROW][C]19[/C][C]0.091965[/C][C]0.9557[/C][C]0.170672[/C][/ROW]
[ROW][C]20[/C][C]-0.054295[/C][C]-0.5642[/C][C]0.286878[/C][/ROW]
[ROW][C]21[/C][C]-0.073443[/C][C]-0.7632[/C][C]0.223493[/C][/ROW]
[ROW][C]22[/C][C]0.104914[/C][C]1.0903[/C][C]0.139005[/C][/ROW]
[ROW][C]23[/C][C]-0.067628[/C][C]-0.7028[/C][C]0.241842[/C][/ROW]
[ROW][C]24[/C][C]0.073119[/C][C]0.7599[/C][C]0.224492[/C][/ROW]
[ROW][C]25[/C][C]0.151585[/C][C]1.5753[/C][C]0.059053[/C][/ROW]
[ROW][C]26[/C][C]-0.00465[/C][C]-0.0483[/C][C]0.480774[/C][/ROW]
[ROW][C]27[/C][C]0.005344[/C][C]0.0555[/C][C]0.477907[/C][/ROW]
[ROW][C]28[/C][C]-0.000924[/C][C]-0.0096[/C][C]0.496177[/C][/ROW]
[ROW][C]29[/C][C]-0.070704[/C][C]-0.7348[/C][C]0.232033[/C][/ROW]
[ROW][C]30[/C][C]-0.001594[/C][C]-0.0166[/C][C]0.493408[/C][/ROW]
[ROW][C]31[/C][C]0.024261[/C][C]0.2521[/C][C]0.40071[/C][/ROW]
[ROW][C]32[/C][C]-0.023803[/C][C]-0.2474[/C][C]0.402545[/C][/ROW]
[ROW][C]33[/C][C]-0.010092[/C][C]-0.1049[/C][C]0.458334[/C][/ROW]
[ROW][C]34[/C][C]-0.1661[/C][C]-1.7262[/C][C]0.043589[/C][/ROW]
[ROW][C]35[/C][C]0.060238[/C][C]0.626[/C][C]0.266312[/C][/ROW]
[ROW][C]36[/C][C]0.077161[/C][C]0.8019[/C][C]0.212191[/C][/ROW]
[ROW][C]37[/C][C]0.019629[/C][C]0.204[/C][C]0.419372[/C][/ROW]
[ROW][C]38[/C][C]0.050634[/C][C]0.5262[/C][C]0.299911[/C][/ROW]
[ROW][C]39[/C][C]-0.037495[/C][C]-0.3897[/C][C]0.348777[/C][/ROW]
[ROW][C]40[/C][C]-0.033199[/C][C]-0.345[/C][C]0.365376[/C][/ROW]
[ROW][C]41[/C][C]0.01712[/C][C]0.1779[/C][C]0.429561[/C][/ROW]
[ROW][C]42[/C][C]-0.000573[/C][C]-0.006[/C][C]0.49763[/C][/ROW]
[ROW][C]43[/C][C]-0.056228[/C][C]-0.5843[/C][C]0.280105[/C][/ROW]
[ROW][C]44[/C][C]-0.010578[/C][C]-0.1099[/C][C]0.456334[/C][/ROW]
[ROW][C]45[/C][C]-0.06396[/C][C]-0.6647[/C][C]0.253831[/C][/ROW]
[ROW][C]46[/C][C]0.016915[/C][C]0.1758[/C][C]0.430397[/C][/ROW]
[ROW][C]47[/C][C]-0.078785[/C][C]-0.8188[/C][C]0.207363[/C][/ROW]
[ROW][C]48[/C][C]0.057799[/C][C]0.6007[/C][C]0.274661[/C][/ROW]
[ROW][C]49[/C][C]-0.026227[/C][C]-0.2726[/C][C]0.392858[/C][/ROW]
[ROW][C]50[/C][C]-0.038622[/C][C]-0.4014[/C][C]0.344468[/C][/ROW]
[ROW][C]51[/C][C]-0.069654[/C][C]-0.7239[/C][C]0.235355[/C][/ROW]
[ROW][C]52[/C][C]-0.020422[/C][C]-0.2122[/C][C]0.416163[/C][/ROW]
[ROW][C]53[/C][C]-0.033421[/C][C]-0.3473[/C][C]0.364512[/C][/ROW]
[ROW][C]54[/C][C]-0.116194[/C][C]-1.2075[/C][C]0.114934[/C][/ROW]
[ROW][C]55[/C][C]-0.034765[/C][C]-0.3613[/C][C]0.359295[/C][/ROW]
[ROW][C]56[/C][C]-0.008681[/C][C]-0.0902[/C][C]0.46414[/C][/ROW]
[ROW][C]57[/C][C]-0.069559[/C][C]-0.7229[/C][C]0.235659[/C][/ROW]
[ROW][C]58[/C][C]-0.01319[/C][C]-0.1371[/C][C]0.445615[/C][/ROW]
[ROW][C]59[/C][C]0.075613[/C][C]0.7858[/C][C]0.216855[/C][/ROW]
[ROW][C]60[/C][C]-0.065031[/C][C]-0.6758[/C][C]0.250299[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110675&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110675&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
10.1508421.56760.059951
2-0.11174-1.16120.124052
30.0716130.74420.229178
4-0.050718-0.52710.299612
50.0025730.02670.489359
6-0.030481-0.31680.376015
7-0.065038-0.67590.250278
8-0.051078-0.53080.298316
9-0.001242-0.01290.494864
100.1155171.20050.116288
110.0550030.57160.284388
120.0260410.27060.393599
13-0.236975-2.46270.007685
14-0.082663-0.85910.196104
150.0237160.24650.402894
16-0.014358-0.14920.440832
17-0.039318-0.40860.34182
18-0.049717-0.51670.303222
190.0919650.95570.170672
20-0.054295-0.56420.286878
21-0.073443-0.76320.223493
220.1049141.09030.139005
23-0.067628-0.70280.241842
240.0731190.75990.224492
250.1515851.57530.059053
26-0.00465-0.04830.480774
270.0053440.05550.477907
28-0.000924-0.00960.496177
29-0.070704-0.73480.232033
30-0.001594-0.01660.493408
310.0242610.25210.40071
32-0.023803-0.24740.402545
33-0.010092-0.10490.458334
34-0.1661-1.72620.043589
350.0602380.6260.266312
360.0771610.80190.212191
370.0196290.2040.419372
380.0506340.52620.299911
39-0.037495-0.38970.348777
40-0.033199-0.3450.365376
410.017120.17790.429561
42-0.000573-0.0060.49763
43-0.056228-0.58430.280105
44-0.010578-0.10990.456334
45-0.06396-0.66470.253831
460.0169150.17580.430397
47-0.078785-0.81880.207363
480.0577990.60070.274661
49-0.026227-0.27260.392858
50-0.038622-0.40140.344468
51-0.069654-0.72390.235355
52-0.020422-0.21220.416163
53-0.033421-0.34730.364512
54-0.116194-1.20750.114934
55-0.034765-0.36130.359295
56-0.008681-0.09020.46414
57-0.069559-0.72290.235659
58-0.01319-0.13710.445615
590.0756130.78580.216855
60-0.065031-0.67580.250299



Parameters (Session):
par1 = 60 ; par2 = -0.5 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; par2 = -0.5 ; par3 = 1 ; 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')