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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationSun, 26 May 2013 19:28:53 -0400
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/May/26/t1369610987v3e0pbb5us8cein.htm/, Retrieved Mon, 29 Apr 2024 08:41:26 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210685, Retrieved Mon, 29 Apr 2024 08:41:26 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2013-05-26 23:28:53] [5b48cba8ffed7710e2defc0d8d22bd89] [Current]
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Dataseries X:
13,29
13,34
13,41
13,45
13,52
13,52
13,53
13,55
13,52
13,51
13,55
13,56
13,62
13,69
13,67
13,66
13,69
13,69
13,7
13,73
13,79
13,8
13,84
13,84
13,88
13,97
14,06
14,11
14,13
14,15
14,2
14,28
14,3
14,33
14,4
14,4
14,42
14,51
14,64
14,68
14,72
14,73
14,76
14,78
14,83
14,84
14,85
14,87
14,87
14,96
15,08
15,08
15,12
15,12
15,1
15,16
15,22
15,28
15,29
15,32
15,4
15,44
15,48
15,52
15,6
15,61
15,66
15,69
15,75
15,82
15,81
15,82




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=210685&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=210685&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210685&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
10.9604648.14980
20.9202147.80830
30.8797877.46520
40.840767.13410
50.8038826.82120
60.7660436.50010
70.7278566.17610
80.6884955.84210
90.648965.50660
100.6086055.16421e-06
110.5689784.82794e-06
120.5289374.48821.3e-05
130.4907884.16454.3e-05
140.4536153.8490.000127
150.4145773.51780.000379
160.3757963.18870.001058
170.3383582.87110.002684
180.3013862.55730.006327
190.2620862.22390.014647
200.2217541.88160.031963
210.1830431.55320.062383
220.1432891.21580.114007
230.1068780.90690.183744
240.071870.60980.271944
250.0361810.3070.379863
260.0019030.01610.493581
27-0.031073-0.26370.396395
28-0.063678-0.54030.295319
29-0.095352-0.80910.210565
30-0.127082-1.07830.142244
31-0.158057-1.34120.092043
32-0.187861-1.5940.057653
33-0.216927-1.84070.034894
34-0.24496-2.07860.020611
35-0.268094-2.27490.012947
36-0.289529-2.45670.008216
37-0.310966-2.63860.005098
38-0.331209-2.81040.003184
39-0.346667-2.94160.002195
40-0.360928-3.06260.001543
41-0.374294-3.1760.0011
42-0.385347-3.26980.000826
43-0.394665-3.34880.000647
44-0.403569-3.42440.00051
45-0.411116-3.48840.000416
46-0.417384-3.54160.000351
47-0.42115-3.57360.000317
48-0.422131-3.58190.000308
49-0.422539-3.58540.000305
50-0.420911-3.57150.000319
51-0.415003-3.52140.000375
52-0.40915-3.47180.000439
53-0.400566-3.39890.000553
54-0.391454-3.32160.000704
55-0.38297-3.24960.000879
56-0.373163-3.16640.001132
57-0.361216-3.0650.001531
58-0.348263-2.95510.002111
59-0.335984-2.85090.002842
60-0.321005-2.72380.004046

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.960464 & 8.1498 & 0 \tabularnewline
2 & 0.920214 & 7.8083 & 0 \tabularnewline
3 & 0.879787 & 7.4652 & 0 \tabularnewline
4 & 0.84076 & 7.1341 & 0 \tabularnewline
5 & 0.803882 & 6.8212 & 0 \tabularnewline
6 & 0.766043 & 6.5001 & 0 \tabularnewline
7 & 0.727856 & 6.1761 & 0 \tabularnewline
8 & 0.688495 & 5.8421 & 0 \tabularnewline
9 & 0.64896 & 5.5066 & 0 \tabularnewline
10 & 0.608605 & 5.1642 & 1e-06 \tabularnewline
11 & 0.568978 & 4.8279 & 4e-06 \tabularnewline
12 & 0.528937 & 4.4882 & 1.3e-05 \tabularnewline
13 & 0.490788 & 4.1645 & 4.3e-05 \tabularnewline
14 & 0.453615 & 3.849 & 0.000127 \tabularnewline
15 & 0.414577 & 3.5178 & 0.000379 \tabularnewline
16 & 0.375796 & 3.1887 & 0.001058 \tabularnewline
17 & 0.338358 & 2.8711 & 0.002684 \tabularnewline
18 & 0.301386 & 2.5573 & 0.006327 \tabularnewline
19 & 0.262086 & 2.2239 & 0.014647 \tabularnewline
20 & 0.221754 & 1.8816 & 0.031963 \tabularnewline
21 & 0.183043 & 1.5532 & 0.062383 \tabularnewline
22 & 0.143289 & 1.2158 & 0.114007 \tabularnewline
23 & 0.106878 & 0.9069 & 0.183744 \tabularnewline
24 & 0.07187 & 0.6098 & 0.271944 \tabularnewline
25 & 0.036181 & 0.307 & 0.379863 \tabularnewline
26 & 0.001903 & 0.0161 & 0.493581 \tabularnewline
27 & -0.031073 & -0.2637 & 0.396395 \tabularnewline
28 & -0.063678 & -0.5403 & 0.295319 \tabularnewline
29 & -0.095352 & -0.8091 & 0.210565 \tabularnewline
30 & -0.127082 & -1.0783 & 0.142244 \tabularnewline
31 & -0.158057 & -1.3412 & 0.092043 \tabularnewline
32 & -0.187861 & -1.594 & 0.057653 \tabularnewline
33 & -0.216927 & -1.8407 & 0.034894 \tabularnewline
34 & -0.24496 & -2.0786 & 0.020611 \tabularnewline
35 & -0.268094 & -2.2749 & 0.012947 \tabularnewline
36 & -0.289529 & -2.4567 & 0.008216 \tabularnewline
37 & -0.310966 & -2.6386 & 0.005098 \tabularnewline
38 & -0.331209 & -2.8104 & 0.003184 \tabularnewline
39 & -0.346667 & -2.9416 & 0.002195 \tabularnewline
40 & -0.360928 & -3.0626 & 0.001543 \tabularnewline
41 & -0.374294 & -3.176 & 0.0011 \tabularnewline
42 & -0.385347 & -3.2698 & 0.000826 \tabularnewline
43 & -0.394665 & -3.3488 & 0.000647 \tabularnewline
44 & -0.403569 & -3.4244 & 0.00051 \tabularnewline
45 & -0.411116 & -3.4884 & 0.000416 \tabularnewline
46 & -0.417384 & -3.5416 & 0.000351 \tabularnewline
47 & -0.42115 & -3.5736 & 0.000317 \tabularnewline
48 & -0.422131 & -3.5819 & 0.000308 \tabularnewline
49 & -0.422539 & -3.5854 & 0.000305 \tabularnewline
50 & -0.420911 & -3.5715 & 0.000319 \tabularnewline
51 & -0.415003 & -3.5214 & 0.000375 \tabularnewline
52 & -0.40915 & -3.4718 & 0.000439 \tabularnewline
53 & -0.400566 & -3.3989 & 0.000553 \tabularnewline
54 & -0.391454 & -3.3216 & 0.000704 \tabularnewline
55 & -0.38297 & -3.2496 & 0.000879 \tabularnewline
56 & -0.373163 & -3.1664 & 0.001132 \tabularnewline
57 & -0.361216 & -3.065 & 0.001531 \tabularnewline
58 & -0.348263 & -2.9551 & 0.002111 \tabularnewline
59 & -0.335984 & -2.8509 & 0.002842 \tabularnewline
60 & -0.321005 & -2.7238 & 0.004046 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210685&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]0.960464[/C][C]8.1498[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.920214[/C][C]7.8083[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.879787[/C][C]7.4652[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.84076[/C][C]7.1341[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.803882[/C][C]6.8212[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.766043[/C][C]6.5001[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.727856[/C][C]6.1761[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.688495[/C][C]5.8421[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.64896[/C][C]5.5066[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.608605[/C][C]5.1642[/C][C]1e-06[/C][/ROW]
[ROW][C]11[/C][C]0.568978[/C][C]4.8279[/C][C]4e-06[/C][/ROW]
[ROW][C]12[/C][C]0.528937[/C][C]4.4882[/C][C]1.3e-05[/C][/ROW]
[ROW][C]13[/C][C]0.490788[/C][C]4.1645[/C][C]4.3e-05[/C][/ROW]
[ROW][C]14[/C][C]0.453615[/C][C]3.849[/C][C]0.000127[/C][/ROW]
[ROW][C]15[/C][C]0.414577[/C][C]3.5178[/C][C]0.000379[/C][/ROW]
[ROW][C]16[/C][C]0.375796[/C][C]3.1887[/C][C]0.001058[/C][/ROW]
[ROW][C]17[/C][C]0.338358[/C][C]2.8711[/C][C]0.002684[/C][/ROW]
[ROW][C]18[/C][C]0.301386[/C][C]2.5573[/C][C]0.006327[/C][/ROW]
[ROW][C]19[/C][C]0.262086[/C][C]2.2239[/C][C]0.014647[/C][/ROW]
[ROW][C]20[/C][C]0.221754[/C][C]1.8816[/C][C]0.031963[/C][/ROW]
[ROW][C]21[/C][C]0.183043[/C][C]1.5532[/C][C]0.062383[/C][/ROW]
[ROW][C]22[/C][C]0.143289[/C][C]1.2158[/C][C]0.114007[/C][/ROW]
[ROW][C]23[/C][C]0.106878[/C][C]0.9069[/C][C]0.183744[/C][/ROW]
[ROW][C]24[/C][C]0.07187[/C][C]0.6098[/C][C]0.271944[/C][/ROW]
[ROW][C]25[/C][C]0.036181[/C][C]0.307[/C][C]0.379863[/C][/ROW]
[ROW][C]26[/C][C]0.001903[/C][C]0.0161[/C][C]0.493581[/C][/ROW]
[ROW][C]27[/C][C]-0.031073[/C][C]-0.2637[/C][C]0.396395[/C][/ROW]
[ROW][C]28[/C][C]-0.063678[/C][C]-0.5403[/C][C]0.295319[/C][/ROW]
[ROW][C]29[/C][C]-0.095352[/C][C]-0.8091[/C][C]0.210565[/C][/ROW]
[ROW][C]30[/C][C]-0.127082[/C][C]-1.0783[/C][C]0.142244[/C][/ROW]
[ROW][C]31[/C][C]-0.158057[/C][C]-1.3412[/C][C]0.092043[/C][/ROW]
[ROW][C]32[/C][C]-0.187861[/C][C]-1.594[/C][C]0.057653[/C][/ROW]
[ROW][C]33[/C][C]-0.216927[/C][C]-1.8407[/C][C]0.034894[/C][/ROW]
[ROW][C]34[/C][C]-0.24496[/C][C]-2.0786[/C][C]0.020611[/C][/ROW]
[ROW][C]35[/C][C]-0.268094[/C][C]-2.2749[/C][C]0.012947[/C][/ROW]
[ROW][C]36[/C][C]-0.289529[/C][C]-2.4567[/C][C]0.008216[/C][/ROW]
[ROW][C]37[/C][C]-0.310966[/C][C]-2.6386[/C][C]0.005098[/C][/ROW]
[ROW][C]38[/C][C]-0.331209[/C][C]-2.8104[/C][C]0.003184[/C][/ROW]
[ROW][C]39[/C][C]-0.346667[/C][C]-2.9416[/C][C]0.002195[/C][/ROW]
[ROW][C]40[/C][C]-0.360928[/C][C]-3.0626[/C][C]0.001543[/C][/ROW]
[ROW][C]41[/C][C]-0.374294[/C][C]-3.176[/C][C]0.0011[/C][/ROW]
[ROW][C]42[/C][C]-0.385347[/C][C]-3.2698[/C][C]0.000826[/C][/ROW]
[ROW][C]43[/C][C]-0.394665[/C][C]-3.3488[/C][C]0.000647[/C][/ROW]
[ROW][C]44[/C][C]-0.403569[/C][C]-3.4244[/C][C]0.00051[/C][/ROW]
[ROW][C]45[/C][C]-0.411116[/C][C]-3.4884[/C][C]0.000416[/C][/ROW]
[ROW][C]46[/C][C]-0.417384[/C][C]-3.5416[/C][C]0.000351[/C][/ROW]
[ROW][C]47[/C][C]-0.42115[/C][C]-3.5736[/C][C]0.000317[/C][/ROW]
[ROW][C]48[/C][C]-0.422131[/C][C]-3.5819[/C][C]0.000308[/C][/ROW]
[ROW][C]49[/C][C]-0.422539[/C][C]-3.5854[/C][C]0.000305[/C][/ROW]
[ROW][C]50[/C][C]-0.420911[/C][C]-3.5715[/C][C]0.000319[/C][/ROW]
[ROW][C]51[/C][C]-0.415003[/C][C]-3.5214[/C][C]0.000375[/C][/ROW]
[ROW][C]52[/C][C]-0.40915[/C][C]-3.4718[/C][C]0.000439[/C][/ROW]
[ROW][C]53[/C][C]-0.400566[/C][C]-3.3989[/C][C]0.000553[/C][/ROW]
[ROW][C]54[/C][C]-0.391454[/C][C]-3.3216[/C][C]0.000704[/C][/ROW]
[ROW][C]55[/C][C]-0.38297[/C][C]-3.2496[/C][C]0.000879[/C][/ROW]
[ROW][C]56[/C][C]-0.373163[/C][C]-3.1664[/C][C]0.001132[/C][/ROW]
[ROW][C]57[/C][C]-0.361216[/C][C]-3.065[/C][C]0.001531[/C][/ROW]
[ROW][C]58[/C][C]-0.348263[/C][C]-2.9551[/C][C]0.002111[/C][/ROW]
[ROW][C]59[/C][C]-0.335984[/C][C]-2.8509[/C][C]0.002842[/C][/ROW]
[ROW][C]60[/C][C]-0.321005[/C][C]-2.7238[/C][C]0.004046[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210685&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210685&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
10.9604648.14980
20.9202147.80830
30.8797877.46520
40.840767.13410
50.8038826.82120
60.7660436.50010
70.7278566.17610
80.6884955.84210
90.648965.50660
100.6086055.16421e-06
110.5689784.82794e-06
120.5289374.48821.3e-05
130.4907884.16454.3e-05
140.4536153.8490.000127
150.4145773.51780.000379
160.3757963.18870.001058
170.3383582.87110.002684
180.3013862.55730.006327
190.2620862.22390.014647
200.2217541.88160.031963
210.1830431.55320.062383
220.1432891.21580.114007
230.1068780.90690.183744
240.071870.60980.271944
250.0361810.3070.379863
260.0019030.01610.493581
27-0.031073-0.26370.396395
28-0.063678-0.54030.295319
29-0.095352-0.80910.210565
30-0.127082-1.07830.142244
31-0.158057-1.34120.092043
32-0.187861-1.5940.057653
33-0.216927-1.84070.034894
34-0.24496-2.07860.020611
35-0.268094-2.27490.012947
36-0.289529-2.45670.008216
37-0.310966-2.63860.005098
38-0.331209-2.81040.003184
39-0.346667-2.94160.002195
40-0.360928-3.06260.001543
41-0.374294-3.1760.0011
42-0.385347-3.26980.000826
43-0.394665-3.34880.000647
44-0.403569-3.42440.00051
45-0.411116-3.48840.000416
46-0.417384-3.54160.000351
47-0.42115-3.57360.000317
48-0.422131-3.58190.000308
49-0.422539-3.58540.000305
50-0.420911-3.57150.000319
51-0.415003-3.52140.000375
52-0.40915-3.47180.000439
53-0.400566-3.39890.000553
54-0.391454-3.32160.000704
55-0.38297-3.24960.000879
56-0.373163-3.16640.001132
57-0.361216-3.0650.001531
58-0.348263-2.95510.002111
59-0.335984-2.85090.002842
60-0.321005-2.72380.004046







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9604648.14980
2-0.029379-0.24930.401924
3-0.023163-0.19650.422368
4-0.00339-0.02880.488565
50.0062490.0530.478928
6-0.033484-0.28410.388567
7-0.025569-0.2170.414428
8-0.036218-0.30730.379743
9-0.024946-0.21170.41648
10-0.03528-0.29940.382763
11-0.015998-0.13570.446199
12-0.03148-0.26710.39507
13-0.001663-0.01410.494392
14-0.013491-0.11450.45459
15-0.049444-0.41950.338032
16-0.023504-0.19940.42124
17-0.008484-0.0720.471404
18-0.023128-0.19620.422484
19-0.060444-0.51290.304802
20-0.043699-0.37080.355939
21-0.010227-0.08680.465543
22-0.047865-0.40610.34292
230.0070160.05950.476345
24-0.014709-0.12480.450512
25-0.041578-0.35280.362633
26-0.014408-0.12230.451517
27-0.014916-0.12660.449819
28-0.030816-0.26150.397233
29-0.02243-0.19030.424795
30-0.03584-0.30410.380958
31-0.02857-0.24240.404569
32-0.025316-0.21480.415261
33-0.025777-0.21870.413742
34-0.025682-0.21790.414053
350.0246520.20920.417449
36-0.011959-0.10150.459726
37-0.036214-0.30730.379756
38-0.018542-0.15730.43771
390.0323630.27460.392202
40-0.018353-0.15570.438341
41-0.024823-0.21060.416885
42-0.003634-0.03080.487743
43-0.004256-0.03610.485646
44-0.028416-0.24110.405073
45-0.013079-0.1110.45597
46-0.012633-0.10720.457466
470.003390.02880.488564
480.0089230.07570.469929
49-0.019454-0.16510.434673
50-0.001183-0.010.496008
510.0390550.33140.370654
52-0.020351-0.17270.431691
530.0072920.06190.475418
54-0.0114-0.09670.461605
55-0.020745-0.1760.430383
56-0.00514-0.04360.482667
570.0103980.08820.464971
58-0.002988-0.02540.48992
59-0.024564-0.20840.417739
600.0208620.1770.429996

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.960464 & 8.1498 & 0 \tabularnewline
2 & -0.029379 & -0.2493 & 0.401924 \tabularnewline
3 & -0.023163 & -0.1965 & 0.422368 \tabularnewline
4 & -0.00339 & -0.0288 & 0.488565 \tabularnewline
5 & 0.006249 & 0.053 & 0.478928 \tabularnewline
6 & -0.033484 & -0.2841 & 0.388567 \tabularnewline
7 & -0.025569 & -0.217 & 0.414428 \tabularnewline
8 & -0.036218 & -0.3073 & 0.379743 \tabularnewline
9 & -0.024946 & -0.2117 & 0.41648 \tabularnewline
10 & -0.03528 & -0.2994 & 0.382763 \tabularnewline
11 & -0.015998 & -0.1357 & 0.446199 \tabularnewline
12 & -0.03148 & -0.2671 & 0.39507 \tabularnewline
13 & -0.001663 & -0.0141 & 0.494392 \tabularnewline
14 & -0.013491 & -0.1145 & 0.45459 \tabularnewline
15 & -0.049444 & -0.4195 & 0.338032 \tabularnewline
16 & -0.023504 & -0.1994 & 0.42124 \tabularnewline
17 & -0.008484 & -0.072 & 0.471404 \tabularnewline
18 & -0.023128 & -0.1962 & 0.422484 \tabularnewline
19 & -0.060444 & -0.5129 & 0.304802 \tabularnewline
20 & -0.043699 & -0.3708 & 0.355939 \tabularnewline
21 & -0.010227 & -0.0868 & 0.465543 \tabularnewline
22 & -0.047865 & -0.4061 & 0.34292 \tabularnewline
23 & 0.007016 & 0.0595 & 0.476345 \tabularnewline
24 & -0.014709 & -0.1248 & 0.450512 \tabularnewline
25 & -0.041578 & -0.3528 & 0.362633 \tabularnewline
26 & -0.014408 & -0.1223 & 0.451517 \tabularnewline
27 & -0.014916 & -0.1266 & 0.449819 \tabularnewline
28 & -0.030816 & -0.2615 & 0.397233 \tabularnewline
29 & -0.02243 & -0.1903 & 0.424795 \tabularnewline
30 & -0.03584 & -0.3041 & 0.380958 \tabularnewline
31 & -0.02857 & -0.2424 & 0.404569 \tabularnewline
32 & -0.025316 & -0.2148 & 0.415261 \tabularnewline
33 & -0.025777 & -0.2187 & 0.413742 \tabularnewline
34 & -0.025682 & -0.2179 & 0.414053 \tabularnewline
35 & 0.024652 & 0.2092 & 0.417449 \tabularnewline
36 & -0.011959 & -0.1015 & 0.459726 \tabularnewline
37 & -0.036214 & -0.3073 & 0.379756 \tabularnewline
38 & -0.018542 & -0.1573 & 0.43771 \tabularnewline
39 & 0.032363 & 0.2746 & 0.392202 \tabularnewline
40 & -0.018353 & -0.1557 & 0.438341 \tabularnewline
41 & -0.024823 & -0.2106 & 0.416885 \tabularnewline
42 & -0.003634 & -0.0308 & 0.487743 \tabularnewline
43 & -0.004256 & -0.0361 & 0.485646 \tabularnewline
44 & -0.028416 & -0.2411 & 0.405073 \tabularnewline
45 & -0.013079 & -0.111 & 0.45597 \tabularnewline
46 & -0.012633 & -0.1072 & 0.457466 \tabularnewline
47 & 0.00339 & 0.0288 & 0.488564 \tabularnewline
48 & 0.008923 & 0.0757 & 0.469929 \tabularnewline
49 & -0.019454 & -0.1651 & 0.434673 \tabularnewline
50 & -0.001183 & -0.01 & 0.496008 \tabularnewline
51 & 0.039055 & 0.3314 & 0.370654 \tabularnewline
52 & -0.020351 & -0.1727 & 0.431691 \tabularnewline
53 & 0.007292 & 0.0619 & 0.475418 \tabularnewline
54 & -0.0114 & -0.0967 & 0.461605 \tabularnewline
55 & -0.020745 & -0.176 & 0.430383 \tabularnewline
56 & -0.00514 & -0.0436 & 0.482667 \tabularnewline
57 & 0.010398 & 0.0882 & 0.464971 \tabularnewline
58 & -0.002988 & -0.0254 & 0.48992 \tabularnewline
59 & -0.024564 & -0.2084 & 0.417739 \tabularnewline
60 & 0.020862 & 0.177 & 0.429996 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210685&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]0.960464[/C][C]8.1498[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.029379[/C][C]-0.2493[/C][C]0.401924[/C][/ROW]
[ROW][C]3[/C][C]-0.023163[/C][C]-0.1965[/C][C]0.422368[/C][/ROW]
[ROW][C]4[/C][C]-0.00339[/C][C]-0.0288[/C][C]0.488565[/C][/ROW]
[ROW][C]5[/C][C]0.006249[/C][C]0.053[/C][C]0.478928[/C][/ROW]
[ROW][C]6[/C][C]-0.033484[/C][C]-0.2841[/C][C]0.388567[/C][/ROW]
[ROW][C]7[/C][C]-0.025569[/C][C]-0.217[/C][C]0.414428[/C][/ROW]
[ROW][C]8[/C][C]-0.036218[/C][C]-0.3073[/C][C]0.379743[/C][/ROW]
[ROW][C]9[/C][C]-0.024946[/C][C]-0.2117[/C][C]0.41648[/C][/ROW]
[ROW][C]10[/C][C]-0.03528[/C][C]-0.2994[/C][C]0.382763[/C][/ROW]
[ROW][C]11[/C][C]-0.015998[/C][C]-0.1357[/C][C]0.446199[/C][/ROW]
[ROW][C]12[/C][C]-0.03148[/C][C]-0.2671[/C][C]0.39507[/C][/ROW]
[ROW][C]13[/C][C]-0.001663[/C][C]-0.0141[/C][C]0.494392[/C][/ROW]
[ROW][C]14[/C][C]-0.013491[/C][C]-0.1145[/C][C]0.45459[/C][/ROW]
[ROW][C]15[/C][C]-0.049444[/C][C]-0.4195[/C][C]0.338032[/C][/ROW]
[ROW][C]16[/C][C]-0.023504[/C][C]-0.1994[/C][C]0.42124[/C][/ROW]
[ROW][C]17[/C][C]-0.008484[/C][C]-0.072[/C][C]0.471404[/C][/ROW]
[ROW][C]18[/C][C]-0.023128[/C][C]-0.1962[/C][C]0.422484[/C][/ROW]
[ROW][C]19[/C][C]-0.060444[/C][C]-0.5129[/C][C]0.304802[/C][/ROW]
[ROW][C]20[/C][C]-0.043699[/C][C]-0.3708[/C][C]0.355939[/C][/ROW]
[ROW][C]21[/C][C]-0.010227[/C][C]-0.0868[/C][C]0.465543[/C][/ROW]
[ROW][C]22[/C][C]-0.047865[/C][C]-0.4061[/C][C]0.34292[/C][/ROW]
[ROW][C]23[/C][C]0.007016[/C][C]0.0595[/C][C]0.476345[/C][/ROW]
[ROW][C]24[/C][C]-0.014709[/C][C]-0.1248[/C][C]0.450512[/C][/ROW]
[ROW][C]25[/C][C]-0.041578[/C][C]-0.3528[/C][C]0.362633[/C][/ROW]
[ROW][C]26[/C][C]-0.014408[/C][C]-0.1223[/C][C]0.451517[/C][/ROW]
[ROW][C]27[/C][C]-0.014916[/C][C]-0.1266[/C][C]0.449819[/C][/ROW]
[ROW][C]28[/C][C]-0.030816[/C][C]-0.2615[/C][C]0.397233[/C][/ROW]
[ROW][C]29[/C][C]-0.02243[/C][C]-0.1903[/C][C]0.424795[/C][/ROW]
[ROW][C]30[/C][C]-0.03584[/C][C]-0.3041[/C][C]0.380958[/C][/ROW]
[ROW][C]31[/C][C]-0.02857[/C][C]-0.2424[/C][C]0.404569[/C][/ROW]
[ROW][C]32[/C][C]-0.025316[/C][C]-0.2148[/C][C]0.415261[/C][/ROW]
[ROW][C]33[/C][C]-0.025777[/C][C]-0.2187[/C][C]0.413742[/C][/ROW]
[ROW][C]34[/C][C]-0.025682[/C][C]-0.2179[/C][C]0.414053[/C][/ROW]
[ROW][C]35[/C][C]0.024652[/C][C]0.2092[/C][C]0.417449[/C][/ROW]
[ROW][C]36[/C][C]-0.011959[/C][C]-0.1015[/C][C]0.459726[/C][/ROW]
[ROW][C]37[/C][C]-0.036214[/C][C]-0.3073[/C][C]0.379756[/C][/ROW]
[ROW][C]38[/C][C]-0.018542[/C][C]-0.1573[/C][C]0.43771[/C][/ROW]
[ROW][C]39[/C][C]0.032363[/C][C]0.2746[/C][C]0.392202[/C][/ROW]
[ROW][C]40[/C][C]-0.018353[/C][C]-0.1557[/C][C]0.438341[/C][/ROW]
[ROW][C]41[/C][C]-0.024823[/C][C]-0.2106[/C][C]0.416885[/C][/ROW]
[ROW][C]42[/C][C]-0.003634[/C][C]-0.0308[/C][C]0.487743[/C][/ROW]
[ROW][C]43[/C][C]-0.004256[/C][C]-0.0361[/C][C]0.485646[/C][/ROW]
[ROW][C]44[/C][C]-0.028416[/C][C]-0.2411[/C][C]0.405073[/C][/ROW]
[ROW][C]45[/C][C]-0.013079[/C][C]-0.111[/C][C]0.45597[/C][/ROW]
[ROW][C]46[/C][C]-0.012633[/C][C]-0.1072[/C][C]0.457466[/C][/ROW]
[ROW][C]47[/C][C]0.00339[/C][C]0.0288[/C][C]0.488564[/C][/ROW]
[ROW][C]48[/C][C]0.008923[/C][C]0.0757[/C][C]0.469929[/C][/ROW]
[ROW][C]49[/C][C]-0.019454[/C][C]-0.1651[/C][C]0.434673[/C][/ROW]
[ROW][C]50[/C][C]-0.001183[/C][C]-0.01[/C][C]0.496008[/C][/ROW]
[ROW][C]51[/C][C]0.039055[/C][C]0.3314[/C][C]0.370654[/C][/ROW]
[ROW][C]52[/C][C]-0.020351[/C][C]-0.1727[/C][C]0.431691[/C][/ROW]
[ROW][C]53[/C][C]0.007292[/C][C]0.0619[/C][C]0.475418[/C][/ROW]
[ROW][C]54[/C][C]-0.0114[/C][C]-0.0967[/C][C]0.461605[/C][/ROW]
[ROW][C]55[/C][C]-0.020745[/C][C]-0.176[/C][C]0.430383[/C][/ROW]
[ROW][C]56[/C][C]-0.00514[/C][C]-0.0436[/C][C]0.482667[/C][/ROW]
[ROW][C]57[/C][C]0.010398[/C][C]0.0882[/C][C]0.464971[/C][/ROW]
[ROW][C]58[/C][C]-0.002988[/C][C]-0.0254[/C][C]0.48992[/C][/ROW]
[ROW][C]59[/C][C]-0.024564[/C][C]-0.2084[/C][C]0.417739[/C][/ROW]
[ROW][C]60[/C][C]0.020862[/C][C]0.177[/C][C]0.429996[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210685&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210685&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
10.9604648.14980
2-0.029379-0.24930.401924
3-0.023163-0.19650.422368
4-0.00339-0.02880.488565
50.0062490.0530.478928
6-0.033484-0.28410.388567
7-0.025569-0.2170.414428
8-0.036218-0.30730.379743
9-0.024946-0.21170.41648
10-0.03528-0.29940.382763
11-0.015998-0.13570.446199
12-0.03148-0.26710.39507
13-0.001663-0.01410.494392
14-0.013491-0.11450.45459
15-0.049444-0.41950.338032
16-0.023504-0.19940.42124
17-0.008484-0.0720.471404
18-0.023128-0.19620.422484
19-0.060444-0.51290.304802
20-0.043699-0.37080.355939
21-0.010227-0.08680.465543
22-0.047865-0.40610.34292
230.0070160.05950.476345
24-0.014709-0.12480.450512
25-0.041578-0.35280.362633
26-0.014408-0.12230.451517
27-0.014916-0.12660.449819
28-0.030816-0.26150.397233
29-0.02243-0.19030.424795
30-0.03584-0.30410.380958
31-0.02857-0.24240.404569
32-0.025316-0.21480.415261
33-0.025777-0.21870.413742
34-0.025682-0.21790.414053
350.0246520.20920.417449
36-0.011959-0.10150.459726
37-0.036214-0.30730.379756
38-0.018542-0.15730.43771
390.0323630.27460.392202
40-0.018353-0.15570.438341
41-0.024823-0.21060.416885
42-0.003634-0.03080.487743
43-0.004256-0.03610.485646
44-0.028416-0.24110.405073
45-0.013079-0.1110.45597
46-0.012633-0.10720.457466
470.003390.02880.488564
480.0089230.07570.469929
49-0.019454-0.16510.434673
50-0.001183-0.010.496008
510.0390550.33140.370654
52-0.020351-0.17270.431691
530.0072920.06190.475418
54-0.0114-0.09670.461605
55-0.020745-0.1760.430383
56-0.00514-0.04360.482667
570.0103980.08820.464971
58-0.002988-0.02540.48992
59-0.024564-0.20840.417739
600.0208620.1770.429996



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')