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Description of Statistical Computation

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 computationThu, 11 Dec 2008 07:31:57 -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/2008/Dec/11/t1229006003fspf7g501dk66vg.htm/, Retrieved Sun, 19 May 2024 05:40:24 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32263, Retrieved Sun, 19 May 2024 05:40:24 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPaper statistiek, ACF 1
Estimated Impact144

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] [loïqueverhasselt] [2008-12-11 14:31:57] [6440ec5a21e5d35520cb2ae6b4b70e45] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
77,7
78,89
90,2
77,26
80,76
84,93
66,08
71,56
80,78
83,31
85,3
73,94
78,7
81,32
86,8
80,76
84,46
84,21
73,64
70,85
83,78
89,12
78,93
80,54
81,67
82,53
88,2
89,17
83,7
89,79
77,58
70,11
88,07
92,49
83,33
90,05
82,91
88,52
96,42
90,87
86,4
97,47
85,67
79,91
95,73
94,6
91,92
90,38
82,31
87,82
101,29
89,58
87,83
99,95
82,67
84,65
97,83
97,47
97,66
99,14
90,02
100,97
112,48
91,44
108,46
98,41
89,35
92,8
100,43
104,85
108,36
101,54
105,26
101,8
112,36
99,5
104,65
101,13
89,8
87,84
96,41
103,26
100,31
92,33
96,19
96,37
103,06
101,5
101,88
100,85
95,56
87,6
101,18
110,8
101,1
104,42
103,27
100,87
107,8
104,99
100,76
104,46
100,62
87,84
107,31
115,61
103,43
109,93
104,43
106,69
123,1
109,42
101,46
124,48
101,49
100,46
115,51
113,37
115,4
118,2
106,82
110,17
119,91
112,31
110,62
120,37
97,94
103,02
116,36
108,51
122,54
121,32
112,25
109,89
129,58
107,2
118,68
118,25
102,67
104,19
117,74
123,3
122,2
112,71
118,53
115,32
127,36
110,45
122,22
123,39
116,2
109,22
116,98
132,89
125,24
115,68

Tables (Output of Computation)





Summary of computational 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 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 & 'Herman Ole Andreas Wold' @ 193.190.124.10:1001 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32263&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]'Herman Ole Andreas Wold' @ 193.190.124.10:1001[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32263&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32263&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 computational 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
10.7737439.6640
20.6982028.72050
30.7586699.47580
40.688458.59870
50.7065338.82460
60.7609129.50380
70.6468688.07940
80.6421098.01990
90.6538948.16710
100.549016.85710
110.6357497.94050
120.7389739.22980
130.5743967.17420
140.5222376.52270
150.5353356.68630
160.4806526.00330
170.5245346.55140
180.5541576.92140
190.4690915.85890
200.463295.78650
210.45455.67670
220.371654.64194e-06
230.4655445.81460
240.5065596.32690
250.4006815.00451e-06
260.3391584.23611.9e-05
270.3306684.132.9e-05
280.3122363.89987.1e-05
290.3419474.27091.7e-05
300.3470864.33511.3e-05
310.3076593.84278.8e-05
320.2889633.60910.000207
330.2572123.21260.000799
340.2149492.68470.004022
350.2761613.44930.000362
360.3207454.00614.8e-05
370.2462083.07510.001242
380.1589411.98520.024439
390.1618152.02110.022492
400.1596611.99420.023938
410.1603042.00220.023498
420.1704762.12920.017402
430.1543361.92770.027857
440.1184671.47970.070491
450.1007021.25780.105177
460.071630.89470.186173
470.0913751.14130.127752
480.1636342.04380.021328
490.0969491.21090.113884
50-0.010162-0.12690.449582
510.0194440.24290.404217
520.008980.11220.455422
53-0.006356-0.07940.468413
540.041570.51920.302177
550.004810.06010.476088
56-0.032443-0.40520.342936
57-0.020263-0.25310.400269
58-0.061726-0.7710.220948
59-0.042479-0.53060.298239
600.0542460.67750.249536

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.773743 & 9.664 & 0 \tabularnewline
2 & 0.698202 & 8.7205 & 0 \tabularnewline
3 & 0.758669 & 9.4758 & 0 \tabularnewline
4 & 0.68845 & 8.5987 & 0 \tabularnewline
5 & 0.706533 & 8.8246 & 0 \tabularnewline
6 & 0.760912 & 9.5038 & 0 \tabularnewline
7 & 0.646868 & 8.0794 & 0 \tabularnewline
8 & 0.642109 & 8.0199 & 0 \tabularnewline
9 & 0.653894 & 8.1671 & 0 \tabularnewline
10 & 0.54901 & 6.8571 & 0 \tabularnewline
11 & 0.635749 & 7.9405 & 0 \tabularnewline
12 & 0.738973 & 9.2298 & 0 \tabularnewline
13 & 0.574396 & 7.1742 & 0 \tabularnewline
14 & 0.522237 & 6.5227 & 0 \tabularnewline
15 & 0.535335 & 6.6863 & 0 \tabularnewline
16 & 0.480652 & 6.0033 & 0 \tabularnewline
17 & 0.524534 & 6.5514 & 0 \tabularnewline
18 & 0.554157 & 6.9214 & 0 \tabularnewline
19 & 0.469091 & 5.8589 & 0 \tabularnewline
20 & 0.46329 & 5.7865 & 0 \tabularnewline
21 & 0.4545 & 5.6767 & 0 \tabularnewline
22 & 0.37165 & 4.6419 & 4e-06 \tabularnewline
23 & 0.465544 & 5.8146 & 0 \tabularnewline
24 & 0.506559 & 6.3269 & 0 \tabularnewline
25 & 0.400681 & 5.0045 & 1e-06 \tabularnewline
26 & 0.339158 & 4.2361 & 1.9e-05 \tabularnewline
27 & 0.330668 & 4.13 & 2.9e-05 \tabularnewline
28 & 0.312236 & 3.8998 & 7.1e-05 \tabularnewline
29 & 0.341947 & 4.2709 & 1.7e-05 \tabularnewline
30 & 0.347086 & 4.3351 & 1.3e-05 \tabularnewline
31 & 0.307659 & 3.8427 & 8.8e-05 \tabularnewline
32 & 0.288963 & 3.6091 & 0.000207 \tabularnewline
33 & 0.257212 & 3.2126 & 0.000799 \tabularnewline
34 & 0.214949 & 2.6847 & 0.004022 \tabularnewline
35 & 0.276161 & 3.4493 & 0.000362 \tabularnewline
36 & 0.320745 & 4.0061 & 4.8e-05 \tabularnewline
37 & 0.246208 & 3.0751 & 0.001242 \tabularnewline
38 & 0.158941 & 1.9852 & 0.024439 \tabularnewline
39 & 0.161815 & 2.0211 & 0.022492 \tabularnewline
40 & 0.159661 & 1.9942 & 0.023938 \tabularnewline
41 & 0.160304 & 2.0022 & 0.023498 \tabularnewline
42 & 0.170476 & 2.1292 & 0.017402 \tabularnewline
43 & 0.154336 & 1.9277 & 0.027857 \tabularnewline
44 & 0.118467 & 1.4797 & 0.070491 \tabularnewline
45 & 0.100702 & 1.2578 & 0.105177 \tabularnewline
46 & 0.07163 & 0.8947 & 0.186173 \tabularnewline
47 & 0.091375 & 1.1413 & 0.127752 \tabularnewline
48 & 0.163634 & 2.0438 & 0.021328 \tabularnewline
49 & 0.096949 & 1.2109 & 0.113884 \tabularnewline
50 & -0.010162 & -0.1269 & 0.449582 \tabularnewline
51 & 0.019444 & 0.2429 & 0.404217 \tabularnewline
52 & 0.00898 & 0.1122 & 0.455422 \tabularnewline
53 & -0.006356 & -0.0794 & 0.468413 \tabularnewline
54 & 0.04157 & 0.5192 & 0.302177 \tabularnewline
55 & 0.00481 & 0.0601 & 0.476088 \tabularnewline
56 & -0.032443 & -0.4052 & 0.342936 \tabularnewline
57 & -0.020263 & -0.2531 & 0.400269 \tabularnewline
58 & -0.061726 & -0.771 & 0.220948 \tabularnewline
59 & -0.042479 & -0.5306 & 0.298239 \tabularnewline
60 & 0.054246 & 0.6775 & 0.249536 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32263&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]0.773743[/C][C]9.664[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.698202[/C][C]8.7205[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.758669[/C][C]9.4758[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.68845[/C][C]8.5987[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.706533[/C][C]8.8246[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.760912[/C][C]9.5038[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.646868[/C][C]8.0794[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.642109[/C][C]8.0199[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.653894[/C][C]8.1671[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.54901[/C][C]6.8571[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0.635749[/C][C]7.9405[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0.738973[/C][C]9.2298[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.574396[/C][C]7.1742[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0.522237[/C][C]6.5227[/C][C]0[/C][/ROW]
[ROW][C]15[/C][C]0.535335[/C][C]6.6863[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]0.480652[/C][C]6.0033[/C][C]0[/C][/ROW]
[ROW][C]17[/C][C]0.524534[/C][C]6.5514[/C][C]0[/C][/ROW]
[ROW][C]18[/C][C]0.554157[/C][C]6.9214[/C][C]0[/C][/ROW]
[ROW][C]19[/C][C]0.469091[/C][C]5.8589[/C][C]0[/C][/ROW]
[ROW][C]20[/C][C]0.46329[/C][C]5.7865[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]0.4545[/C][C]5.6767[/C][C]0[/C][/ROW]
[ROW][C]22[/C][C]0.37165[/C][C]4.6419[/C][C]4e-06[/C][/ROW]
[ROW][C]23[/C][C]0.465544[/C][C]5.8146[/C][C]0[/C][/ROW]
[ROW][C]24[/C][C]0.506559[/C][C]6.3269[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]0.400681[/C][C]5.0045[/C][C]1e-06[/C][/ROW]
[ROW][C]26[/C][C]0.339158[/C][C]4.2361[/C][C]1.9e-05[/C][/ROW]
[ROW][C]27[/C][C]0.330668[/C][C]4.13[/C][C]2.9e-05[/C][/ROW]
[ROW][C]28[/C][C]0.312236[/C][C]3.8998[/C][C]7.1e-05[/C][/ROW]
[ROW][C]29[/C][C]0.341947[/C][C]4.2709[/C][C]1.7e-05[/C][/ROW]
[ROW][C]30[/C][C]0.347086[/C][C]4.3351[/C][C]1.3e-05[/C][/ROW]
[ROW][C]31[/C][C]0.307659[/C][C]3.8427[/C][C]8.8e-05[/C][/ROW]
[ROW][C]32[/C][C]0.288963[/C][C]3.6091[/C][C]0.000207[/C][/ROW]
[ROW][C]33[/C][C]0.257212[/C][C]3.2126[/C][C]0.000799[/C][/ROW]
[ROW][C]34[/C][C]0.214949[/C][C]2.6847[/C][C]0.004022[/C][/ROW]
[ROW][C]35[/C][C]0.276161[/C][C]3.4493[/C][C]0.000362[/C][/ROW]
[ROW][C]36[/C][C]0.320745[/C][C]4.0061[/C][C]4.8e-05[/C][/ROW]
[ROW][C]37[/C][C]0.246208[/C][C]3.0751[/C][C]0.001242[/C][/ROW]
[ROW][C]38[/C][C]0.158941[/C][C]1.9852[/C][C]0.024439[/C][/ROW]
[ROW][C]39[/C][C]0.161815[/C][C]2.0211[/C][C]0.022492[/C][/ROW]
[ROW][C]40[/C][C]0.159661[/C][C]1.9942[/C][C]0.023938[/C][/ROW]
[ROW][C]41[/C][C]0.160304[/C][C]2.0022[/C][C]0.023498[/C][/ROW]
[ROW][C]42[/C][C]0.170476[/C][C]2.1292[/C][C]0.017402[/C][/ROW]
[ROW][C]43[/C][C]0.154336[/C][C]1.9277[/C][C]0.027857[/C][/ROW]
[ROW][C]44[/C][C]0.118467[/C][C]1.4797[/C][C]0.070491[/C][/ROW]
[ROW][C]45[/C][C]0.100702[/C][C]1.2578[/C][C]0.105177[/C][/ROW]
[ROW][C]46[/C][C]0.07163[/C][C]0.8947[/C][C]0.186173[/C][/ROW]
[ROW][C]47[/C][C]0.091375[/C][C]1.1413[/C][C]0.127752[/C][/ROW]
[ROW][C]48[/C][C]0.163634[/C][C]2.0438[/C][C]0.021328[/C][/ROW]
[ROW][C]49[/C][C]0.096949[/C][C]1.2109[/C][C]0.113884[/C][/ROW]
[ROW][C]50[/C][C]-0.010162[/C][C]-0.1269[/C][C]0.449582[/C][/ROW]
[ROW][C]51[/C][C]0.019444[/C][C]0.2429[/C][C]0.404217[/C][/ROW]
[ROW][C]52[/C][C]0.00898[/C][C]0.1122[/C][C]0.455422[/C][/ROW]
[ROW][C]53[/C][C]-0.006356[/C][C]-0.0794[/C][C]0.468413[/C][/ROW]
[ROW][C]54[/C][C]0.04157[/C][C]0.5192[/C][C]0.302177[/C][/ROW]
[ROW][C]55[/C][C]0.00481[/C][C]0.0601[/C][C]0.476088[/C][/ROW]
[ROW][C]56[/C][C]-0.032443[/C][C]-0.4052[/C][C]0.342936[/C][/ROW]
[ROW][C]57[/C][C]-0.020263[/C][C]-0.2531[/C][C]0.400269[/C][/ROW]
[ROW][C]58[/C][C]-0.061726[/C][C]-0.771[/C][C]0.220948[/C][/ROW]
[ROW][C]59[/C][C]-0.042479[/C][C]-0.5306[/C][C]0.298239[/C][/ROW]
[ROW][C]60[/C][C]0.054246[/C][C]0.6775[/C][C]0.249536[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32263&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32263&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
10.7737439.6640
20.6982028.72050
30.7586699.47580
40.688458.59870
50.7065338.82460
60.7609129.50380
70.6468688.07940
80.6421098.01990
90.6538948.16710
100.549016.85710
110.6357497.94050
120.7389739.22980
130.5743967.17420
140.5222376.52270
150.5353356.68630
160.4806526.00330
170.5245346.55140
180.5541576.92140
190.4690915.85890
200.463295.78650
210.45455.67670
220.371654.64194e-06
230.4655445.81460
240.5065596.32690
250.4006815.00451e-06
260.3391584.23611.9e-05
270.3306684.132.9e-05
280.3122363.89987.1e-05
290.3419474.27091.7e-05
300.3470864.33511.3e-05
310.3076593.84278.8e-05
320.2889633.60910.000207
330.2572123.21260.000799
340.2149492.68470.004022
350.2761613.44930.000362
360.3207454.00614.8e-05
370.2462083.07510.001242
380.1589411.98520.024439
390.1618152.02110.022492
400.1596611.99420.023938
410.1603042.00220.023498
420.1704762.12920.017402
430.1543361.92770.027857
440.1184671.47970.070491
450.1007021.25780.105177
460.071630.89470.186173
470.0913751.14130.127752
480.1636342.04380.021328
490.0969491.21090.113884
50-0.010162-0.12690.449582
510.0194440.24290.404217
520.008980.11220.455422
53-0.006356-0.07940.468413
540.041570.51920.302177
550.004810.06010.476088
56-0.032443-0.40520.342936
57-0.020263-0.25310.400269
58-0.061726-0.7710.220948
59-0.042479-0.53060.298239
600.0542460.67750.249536






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.7737439.6640
20.2479913.09740.001158
30.4262185.32350
4-0.008364-0.10450.458469
50.267283.33830.000527
60.2157112.69420.003914
7-0.161167-2.0130.022919
80.0638250.79720.21328
9-0.071647-0.89490.186117
10-0.183355-2.29010.011678
110.2770113.45990.000349
120.3423744.27631.6e-05
13-0.269782-3.36960.000474
14-0.251988-3.14730.000987
15-0.129453-1.61690.053964
160.0428420.53510.296672
170.0231660.28930.38635
180.1032651.28980.099518
190.1038441.2970.098272
20-0.086038-1.07460.142104
21-0.008449-0.10550.458044
22-0.044071-0.55040.2914
230.0842431.05220.147169
24-0.071642-0.89480.186133
250.0332210.41490.339382
26-0.18565-2.31880.010853
27-0.030299-0.37840.352811
280.0969591.2110.113861
29-0.042572-0.53170.297835
30-0.030445-0.38030.352134
310.0957281.19560.116825
320.0044460.05550.477895
33-0.049304-0.61580.269462
34-0.008999-0.11240.455324
350.0003210.0040.498403
360.0663160.82830.204386
37-0.050612-0.63210.264109
38-0.106085-1.3250.093555
390.0053720.06710.473294
40-0.029914-0.37360.354597
41-0.047971-0.59920.27497
42-0.041233-0.5150.303641
430.1029251.28550.100256
440.0048320.06030.475977
450.0544910.68060.248569
46-0.02492-0.31130.378013
47-0.078752-0.98360.163414
480.0425670.53170.297858
49-0.034184-0.4270.335001
50-0.107255-1.33960.091159
510.0403780.50430.307372
52-0.038153-0.47650.317182
53-0.016316-0.20380.419391
540.0520660.65030.258226
55-0.018148-0.22670.410487
560.0313480.39150.347968
57-0.015837-0.19780.421728
580.054870.68530.247079
590.009910.12380.450826
600.0407760.50930.305633

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.773743 & 9.664 & 0 \tabularnewline
2 & 0.247991 & 3.0974 & 0.001158 \tabularnewline
3 & 0.426218 & 5.3235 & 0 \tabularnewline
4 & -0.008364 & -0.1045 & 0.458469 \tabularnewline
5 & 0.26728 & 3.3383 & 0.000527 \tabularnewline
6 & 0.215711 & 2.6942 & 0.003914 \tabularnewline
7 & -0.161167 & -2.013 & 0.022919 \tabularnewline
8 & 0.063825 & 0.7972 & 0.21328 \tabularnewline
9 & -0.071647 & -0.8949 & 0.186117 \tabularnewline
10 & -0.183355 & -2.2901 & 0.011678 \tabularnewline
11 & 0.277011 & 3.4599 & 0.000349 \tabularnewline
12 & 0.342374 & 4.2763 & 1.6e-05 \tabularnewline
13 & -0.269782 & -3.3696 & 0.000474 \tabularnewline
14 & -0.251988 & -3.1473 & 0.000987 \tabularnewline
15 & -0.129453 & -1.6169 & 0.053964 \tabularnewline
16 & 0.042842 & 0.5351 & 0.296672 \tabularnewline
17 & 0.023166 & 0.2893 & 0.38635 \tabularnewline
18 & 0.103265 & 1.2898 & 0.099518 \tabularnewline
19 & 0.103844 & 1.297 & 0.098272 \tabularnewline
20 & -0.086038 & -1.0746 & 0.142104 \tabularnewline
21 & -0.008449 & -0.1055 & 0.458044 \tabularnewline
22 & -0.044071 & -0.5504 & 0.2914 \tabularnewline
23 & 0.084243 & 1.0522 & 0.147169 \tabularnewline
24 & -0.071642 & -0.8948 & 0.186133 \tabularnewline
25 & 0.033221 & 0.4149 & 0.339382 \tabularnewline
26 & -0.18565 & -2.3188 & 0.010853 \tabularnewline
27 & -0.030299 & -0.3784 & 0.352811 \tabularnewline
28 & 0.096959 & 1.211 & 0.113861 \tabularnewline
29 & -0.042572 & -0.5317 & 0.297835 \tabularnewline
30 & -0.030445 & -0.3803 & 0.352134 \tabularnewline
31 & 0.095728 & 1.1956 & 0.116825 \tabularnewline
32 & 0.004446 & 0.0555 & 0.477895 \tabularnewline
33 & -0.049304 & -0.6158 & 0.269462 \tabularnewline
34 & -0.008999 & -0.1124 & 0.455324 \tabularnewline
35 & 0.000321 & 0.004 & 0.498403 \tabularnewline
36 & 0.066316 & 0.8283 & 0.204386 \tabularnewline
37 & -0.050612 & -0.6321 & 0.264109 \tabularnewline
38 & -0.106085 & -1.325 & 0.093555 \tabularnewline
39 & 0.005372 & 0.0671 & 0.473294 \tabularnewline
40 & -0.029914 & -0.3736 & 0.354597 \tabularnewline
41 & -0.047971 & -0.5992 & 0.27497 \tabularnewline
42 & -0.041233 & -0.515 & 0.303641 \tabularnewline
43 & 0.102925 & 1.2855 & 0.100256 \tabularnewline
44 & 0.004832 & 0.0603 & 0.475977 \tabularnewline
45 & 0.054491 & 0.6806 & 0.248569 \tabularnewline
46 & -0.02492 & -0.3113 & 0.378013 \tabularnewline
47 & -0.078752 & -0.9836 & 0.163414 \tabularnewline
48 & 0.042567 & 0.5317 & 0.297858 \tabularnewline
49 & -0.034184 & -0.427 & 0.335001 \tabularnewline
50 & -0.107255 & -1.3396 & 0.091159 \tabularnewline
51 & 0.040378 & 0.5043 & 0.307372 \tabularnewline
52 & -0.038153 & -0.4765 & 0.317182 \tabularnewline
53 & -0.016316 & -0.2038 & 0.419391 \tabularnewline
54 & 0.052066 & 0.6503 & 0.258226 \tabularnewline
55 & -0.018148 & -0.2267 & 0.410487 \tabularnewline
56 & 0.031348 & 0.3915 & 0.347968 \tabularnewline
57 & -0.015837 & -0.1978 & 0.421728 \tabularnewline
58 & 0.05487 & 0.6853 & 0.247079 \tabularnewline
59 & 0.00991 & 0.1238 & 0.450826 \tabularnewline
60 & 0.040776 & 0.5093 & 0.305633 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32263&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]0.773743[/C][C]9.664[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.247991[/C][C]3.0974[/C][C]0.001158[/C][/ROW]
[ROW][C]3[/C][C]0.426218[/C][C]5.3235[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]-0.008364[/C][C]-0.1045[/C][C]0.458469[/C][/ROW]
[ROW][C]5[/C][C]0.26728[/C][C]3.3383[/C][C]0.000527[/C][/ROW]
[ROW][C]6[/C][C]0.215711[/C][C]2.6942[/C][C]0.003914[/C][/ROW]
[ROW][C]7[/C][C]-0.161167[/C][C]-2.013[/C][C]0.022919[/C][/ROW]
[ROW][C]8[/C][C]0.063825[/C][C]0.7972[/C][C]0.21328[/C][/ROW]
[ROW][C]9[/C][C]-0.071647[/C][C]-0.8949[/C][C]0.186117[/C][/ROW]
[ROW][C]10[/C][C]-0.183355[/C][C]-2.2901[/C][C]0.011678[/C][/ROW]
[ROW][C]11[/C][C]0.277011[/C][C]3.4599[/C][C]0.000349[/C][/ROW]
[ROW][C]12[/C][C]0.342374[/C][C]4.2763[/C][C]1.6e-05[/C][/ROW]
[ROW][C]13[/C][C]-0.269782[/C][C]-3.3696[/C][C]0.000474[/C][/ROW]
[ROW][C]14[/C][C]-0.251988[/C][C]-3.1473[/C][C]0.000987[/C][/ROW]
[ROW][C]15[/C][C]-0.129453[/C][C]-1.6169[/C][C]0.053964[/C][/ROW]
[ROW][C]16[/C][C]0.042842[/C][C]0.5351[/C][C]0.296672[/C][/ROW]
[ROW][C]17[/C][C]0.023166[/C][C]0.2893[/C][C]0.38635[/C][/ROW]
[ROW][C]18[/C][C]0.103265[/C][C]1.2898[/C][C]0.099518[/C][/ROW]
[ROW][C]19[/C][C]0.103844[/C][C]1.297[/C][C]0.098272[/C][/ROW]
[ROW][C]20[/C][C]-0.086038[/C][C]-1.0746[/C][C]0.142104[/C][/ROW]
[ROW][C]21[/C][C]-0.008449[/C][C]-0.1055[/C][C]0.458044[/C][/ROW]
[ROW][C]22[/C][C]-0.044071[/C][C]-0.5504[/C][C]0.2914[/C][/ROW]
[ROW][C]23[/C][C]0.084243[/C][C]1.0522[/C][C]0.147169[/C][/ROW]
[ROW][C]24[/C][C]-0.071642[/C][C]-0.8948[/C][C]0.186133[/C][/ROW]
[ROW][C]25[/C][C]0.033221[/C][C]0.4149[/C][C]0.339382[/C][/ROW]
[ROW][C]26[/C][C]-0.18565[/C][C]-2.3188[/C][C]0.010853[/C][/ROW]
[ROW][C]27[/C][C]-0.030299[/C][C]-0.3784[/C][C]0.352811[/C][/ROW]
[ROW][C]28[/C][C]0.096959[/C][C]1.211[/C][C]0.113861[/C][/ROW]
[ROW][C]29[/C][C]-0.042572[/C][C]-0.5317[/C][C]0.297835[/C][/ROW]
[ROW][C]30[/C][C]-0.030445[/C][C]-0.3803[/C][C]0.352134[/C][/ROW]
[ROW][C]31[/C][C]0.095728[/C][C]1.1956[/C][C]0.116825[/C][/ROW]
[ROW][C]32[/C][C]0.004446[/C][C]0.0555[/C][C]0.477895[/C][/ROW]
[ROW][C]33[/C][C]-0.049304[/C][C]-0.6158[/C][C]0.269462[/C][/ROW]
[ROW][C]34[/C][C]-0.008999[/C][C]-0.1124[/C][C]0.455324[/C][/ROW]
[ROW][C]35[/C][C]0.000321[/C][C]0.004[/C][C]0.498403[/C][/ROW]
[ROW][C]36[/C][C]0.066316[/C][C]0.8283[/C][C]0.204386[/C][/ROW]
[ROW][C]37[/C][C]-0.050612[/C][C]-0.6321[/C][C]0.264109[/C][/ROW]
[ROW][C]38[/C][C]-0.106085[/C][C]-1.325[/C][C]0.093555[/C][/ROW]
[ROW][C]39[/C][C]0.005372[/C][C]0.0671[/C][C]0.473294[/C][/ROW]
[ROW][C]40[/C][C]-0.029914[/C][C]-0.3736[/C][C]0.354597[/C][/ROW]
[ROW][C]41[/C][C]-0.047971[/C][C]-0.5992[/C][C]0.27497[/C][/ROW]
[ROW][C]42[/C][C]-0.041233[/C][C]-0.515[/C][C]0.303641[/C][/ROW]
[ROW][C]43[/C][C]0.102925[/C][C]1.2855[/C][C]0.100256[/C][/ROW]
[ROW][C]44[/C][C]0.004832[/C][C]0.0603[/C][C]0.475977[/C][/ROW]
[ROW][C]45[/C][C]0.054491[/C][C]0.6806[/C][C]0.248569[/C][/ROW]
[ROW][C]46[/C][C]-0.02492[/C][C]-0.3113[/C][C]0.378013[/C][/ROW]
[ROW][C]47[/C][C]-0.078752[/C][C]-0.9836[/C][C]0.163414[/C][/ROW]
[ROW][C]48[/C][C]0.042567[/C][C]0.5317[/C][C]0.297858[/C][/ROW]
[ROW][C]49[/C][C]-0.034184[/C][C]-0.427[/C][C]0.335001[/C][/ROW]
[ROW][C]50[/C][C]-0.107255[/C][C]-1.3396[/C][C]0.091159[/C][/ROW]
[ROW][C]51[/C][C]0.040378[/C][C]0.5043[/C][C]0.307372[/C][/ROW]
[ROW][C]52[/C][C]-0.038153[/C][C]-0.4765[/C][C]0.317182[/C][/ROW]
[ROW][C]53[/C][C]-0.016316[/C][C]-0.2038[/C][C]0.419391[/C][/ROW]
[ROW][C]54[/C][C]0.052066[/C][C]0.6503[/C][C]0.258226[/C][/ROW]
[ROW][C]55[/C][C]-0.018148[/C][C]-0.2267[/C][C]0.410487[/C][/ROW]
[ROW][C]56[/C][C]0.031348[/C][C]0.3915[/C][C]0.347968[/C][/ROW]
[ROW][C]57[/C][C]-0.015837[/C][C]-0.1978[/C][C]0.421728[/C][/ROW]
[ROW][C]58[/C][C]0.05487[/C][C]0.6853[/C][C]0.247079[/C][/ROW]
[ROW][C]59[/C][C]0.00991[/C][C]0.1238[/C][C]0.450826[/C][/ROW]
[ROW][C]60[/C][C]0.040776[/C][C]0.5093[/C][C]0.305633[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32263&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32263&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
10.7737439.6640
20.2479913.09740.001158
30.4262185.32350
4-0.008364-0.10450.458469
50.267283.33830.000527
60.2157112.69420.003914
7-0.161167-2.0130.022919
80.0638250.79720.21328
9-0.071647-0.89490.186117
10-0.183355-2.29010.011678
110.2770113.45990.000349
120.3423744.27631.6e-05
13-0.269782-3.36960.000474
14-0.251988-3.14730.000987
15-0.129453-1.61690.053964
160.0428420.53510.296672
170.0231660.28930.38635
180.1032651.28980.099518
190.1038441.2970.098272
20-0.086038-1.07460.142104
21-0.008449-0.10550.458044
22-0.044071-0.55040.2914
230.0842431.05220.147169
24-0.071642-0.89480.186133
250.0332210.41490.339382
26-0.18565-2.31880.010853
27-0.030299-0.37840.352811
280.0969591.2110.113861
29-0.042572-0.53170.297835
30-0.030445-0.38030.352134
310.0957281.19560.116825
320.0044460.05550.477895
33-0.049304-0.61580.269462
34-0.008999-0.11240.455324
350.0003210.0040.498403
360.0663160.82830.204386
37-0.050612-0.63210.264109
38-0.106085-1.3250.093555
390.0053720.06710.473294
40-0.029914-0.37360.354597
41-0.047971-0.59920.27497
42-0.041233-0.5150.303641
430.1029251.28550.100256
440.0048320.06030.475977
450.0544910.68060.248569
46-0.02492-0.31130.378013
47-0.078752-0.98360.163414
480.0425670.53170.297858
49-0.034184-0.4270.335001
50-0.107255-1.33960.091159
510.0403780.50430.307372
52-0.038153-0.47650.317182
53-0.016316-0.20380.419391
540.0520660.65030.258226
55-0.018148-0.22670.410487
560.0313480.39150.347968
57-0.015837-0.19780.421728
580.054870.68530.247079
590.009910.12380.450826
600.0407760.50930.305633


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; 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 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')