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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationThu, 15 Nov 2012 11:40:42 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/15/t1352997710362wcgd8cr3u1fs.htm/, Retrieved Thu, 02 May 2024 00:27:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=189714, Retrieved Thu, 02 May 2024 00:27:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2012-11-15 16:40:42] [fd38808b420d32739e394c14d51f62a5] [Current]
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Dataseries X:
20,7
20,4
20,3
20,4
19,8
19,5
23,1
23,5
23,5
22,9
21,9
21,5
20,5
20,2
19,4
19,2
18,8
18,8
22,6
23,3
23
21,4
19,9
18,8
18,6
18,4
18,6
19,9
19,2
18,4
21,1
20,5
19,1
18,1
17
17,1
17,4
16,8
15,3
14,3
13,4
15,3
22,1
23,7
22,2
19,5
16,6
17,3
19,8
21,2
21,5
20,6
19,1
19,6
23,4
24,3
24,1
22,8
22,5
23,8
24,9
25,2
24,3
22,8
20,7
19,8
22,5
22,6
22,5
21,8
21,2
20,6
19,9
18,7
17,6
16,4
15,9
16,8
22,8
24
22,2
17,9
16
16




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=189714&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=189714&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=189714&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'Gertrude Mary Cox' @ cox.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.775717.10950
20.3978263.64610.00023
30.1248261.1440.127927
40.0763010.69930.243145
50.1936961.77530.039739
60.2966582.71890.003978
70.2521142.31070.011652
80.13661.2520.10703
90.064250.58890.278769
100.0826710.75770.225378
110.174071.59540.057192
120.2130131.95230.027117
130.0371450.34040.367187
14-0.172222-1.57840.059111
15-0.283972-2.60260.005467
16-0.275087-2.52120.006792
17-0.201369-1.84560.034238
18-0.180185-1.65140.051193
19-0.276749-2.53640.006524
20-0.397568-3.64380.000232
21-0.432535-3.96427.7e-05
22-0.350814-3.21530.000925
23-0.185584-1.70090.04633
24-0.073288-0.67170.251812
25-0.161997-1.48470.07068
26-0.29637-2.71630.004007
27-0.351033-3.21730.000919
28-0.303501-2.78160.003338
29-0.207077-1.89790.030573
30-0.165576-1.51750.066443
31-0.221772-2.03260.022627
32-0.279211-2.5590.006145
33-0.230636-2.11380.018749
34-0.066565-0.61010.271727
350.143971.31950.095292
360.2581642.36610.010139
370.1497911.37290.086725
38-0.015804-0.14480.442589
39-0.091119-0.83510.203011
40-0.044822-0.41080.341131
410.0753610.69070.245831
420.1567971.43710.077206
430.1302641.19390.117941
440.0635420.58240.280938
450.0287890.26390.396269
460.0527710.48370.314944
470.1321811.21150.114559
480.2025191.85610.033472
490.1815511.66390.049925
500.1391591.27540.10284
510.1109231.01660.156126
520.095980.87970.190772
530.0826010.75710.225568
540.0549440.50360.30794
550.0098410.09020.464174
56-0.007003-0.06420.47449
570.0168640.15460.43877
580.0650240.5960.276403
590.1158021.06130.145788
600.1310751.20130.116501

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.77571 & 7.1095 & 0 \tabularnewline
2 & 0.397826 & 3.6461 & 0.00023 \tabularnewline
3 & 0.124826 & 1.144 & 0.127927 \tabularnewline
4 & 0.076301 & 0.6993 & 0.243145 \tabularnewline
5 & 0.193696 & 1.7753 & 0.039739 \tabularnewline
6 & 0.296658 & 2.7189 & 0.003978 \tabularnewline
7 & 0.252114 & 2.3107 & 0.011652 \tabularnewline
8 & 0.1366 & 1.252 & 0.10703 \tabularnewline
9 & 0.06425 & 0.5889 & 0.278769 \tabularnewline
10 & 0.082671 & 0.7577 & 0.225378 \tabularnewline
11 & 0.17407 & 1.5954 & 0.057192 \tabularnewline
12 & 0.213013 & 1.9523 & 0.027117 \tabularnewline
13 & 0.037145 & 0.3404 & 0.367187 \tabularnewline
14 & -0.172222 & -1.5784 & 0.059111 \tabularnewline
15 & -0.283972 & -2.6026 & 0.005467 \tabularnewline
16 & -0.275087 & -2.5212 & 0.006792 \tabularnewline
17 & -0.201369 & -1.8456 & 0.034238 \tabularnewline
18 & -0.180185 & -1.6514 & 0.051193 \tabularnewline
19 & -0.276749 & -2.5364 & 0.006524 \tabularnewline
20 & -0.397568 & -3.6438 & 0.000232 \tabularnewline
21 & -0.432535 & -3.9642 & 7.7e-05 \tabularnewline
22 & -0.350814 & -3.2153 & 0.000925 \tabularnewline
23 & -0.185584 & -1.7009 & 0.04633 \tabularnewline
24 & -0.073288 & -0.6717 & 0.251812 \tabularnewline
25 & -0.161997 & -1.4847 & 0.07068 \tabularnewline
26 & -0.29637 & -2.7163 & 0.004007 \tabularnewline
27 & -0.351033 & -3.2173 & 0.000919 \tabularnewline
28 & -0.303501 & -2.7816 & 0.003338 \tabularnewline
29 & -0.207077 & -1.8979 & 0.030573 \tabularnewline
30 & -0.165576 & -1.5175 & 0.066443 \tabularnewline
31 & -0.221772 & -2.0326 & 0.022627 \tabularnewline
32 & -0.279211 & -2.559 & 0.006145 \tabularnewline
33 & -0.230636 & -2.1138 & 0.018749 \tabularnewline
34 & -0.066565 & -0.6101 & 0.271727 \tabularnewline
35 & 0.14397 & 1.3195 & 0.095292 \tabularnewline
36 & 0.258164 & 2.3661 & 0.010139 \tabularnewline
37 & 0.149791 & 1.3729 & 0.086725 \tabularnewline
38 & -0.015804 & -0.1448 & 0.442589 \tabularnewline
39 & -0.091119 & -0.8351 & 0.203011 \tabularnewline
40 & -0.044822 & -0.4108 & 0.341131 \tabularnewline
41 & 0.075361 & 0.6907 & 0.245831 \tabularnewline
42 & 0.156797 & 1.4371 & 0.077206 \tabularnewline
43 & 0.130264 & 1.1939 & 0.117941 \tabularnewline
44 & 0.063542 & 0.5824 & 0.280938 \tabularnewline
45 & 0.028789 & 0.2639 & 0.396269 \tabularnewline
46 & 0.052771 & 0.4837 & 0.314944 \tabularnewline
47 & 0.132181 & 1.2115 & 0.114559 \tabularnewline
48 & 0.202519 & 1.8561 & 0.033472 \tabularnewline
49 & 0.181551 & 1.6639 & 0.049925 \tabularnewline
50 & 0.139159 & 1.2754 & 0.10284 \tabularnewline
51 & 0.110923 & 1.0166 & 0.156126 \tabularnewline
52 & 0.09598 & 0.8797 & 0.190772 \tabularnewline
53 & 0.082601 & 0.7571 & 0.225568 \tabularnewline
54 & 0.054944 & 0.5036 & 0.30794 \tabularnewline
55 & 0.009841 & 0.0902 & 0.464174 \tabularnewline
56 & -0.007003 & -0.0642 & 0.47449 \tabularnewline
57 & 0.016864 & 0.1546 & 0.43877 \tabularnewline
58 & 0.065024 & 0.596 & 0.276403 \tabularnewline
59 & 0.115802 & 1.0613 & 0.145788 \tabularnewline
60 & 0.131075 & 1.2013 & 0.116501 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=189714&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]0.77571[/C][C]7.1095[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.397826[/C][C]3.6461[/C][C]0.00023[/C][/ROW]
[ROW][C]3[/C][C]0.124826[/C][C]1.144[/C][C]0.127927[/C][/ROW]
[ROW][C]4[/C][C]0.076301[/C][C]0.6993[/C][C]0.243145[/C][/ROW]
[ROW][C]5[/C][C]0.193696[/C][C]1.7753[/C][C]0.039739[/C][/ROW]
[ROW][C]6[/C][C]0.296658[/C][C]2.7189[/C][C]0.003978[/C][/ROW]
[ROW][C]7[/C][C]0.252114[/C][C]2.3107[/C][C]0.011652[/C][/ROW]
[ROW][C]8[/C][C]0.1366[/C][C]1.252[/C][C]0.10703[/C][/ROW]
[ROW][C]9[/C][C]0.06425[/C][C]0.5889[/C][C]0.278769[/C][/ROW]
[ROW][C]10[/C][C]0.082671[/C][C]0.7577[/C][C]0.225378[/C][/ROW]
[ROW][C]11[/C][C]0.17407[/C][C]1.5954[/C][C]0.057192[/C][/ROW]
[ROW][C]12[/C][C]0.213013[/C][C]1.9523[/C][C]0.027117[/C][/ROW]
[ROW][C]13[/C][C]0.037145[/C][C]0.3404[/C][C]0.367187[/C][/ROW]
[ROW][C]14[/C][C]-0.172222[/C][C]-1.5784[/C][C]0.059111[/C][/ROW]
[ROW][C]15[/C][C]-0.283972[/C][C]-2.6026[/C][C]0.005467[/C][/ROW]
[ROW][C]16[/C][C]-0.275087[/C][C]-2.5212[/C][C]0.006792[/C][/ROW]
[ROW][C]17[/C][C]-0.201369[/C][C]-1.8456[/C][C]0.034238[/C][/ROW]
[ROW][C]18[/C][C]-0.180185[/C][C]-1.6514[/C][C]0.051193[/C][/ROW]
[ROW][C]19[/C][C]-0.276749[/C][C]-2.5364[/C][C]0.006524[/C][/ROW]
[ROW][C]20[/C][C]-0.397568[/C][C]-3.6438[/C][C]0.000232[/C][/ROW]
[ROW][C]21[/C][C]-0.432535[/C][C]-3.9642[/C][C]7.7e-05[/C][/ROW]
[ROW][C]22[/C][C]-0.350814[/C][C]-3.2153[/C][C]0.000925[/C][/ROW]
[ROW][C]23[/C][C]-0.185584[/C][C]-1.7009[/C][C]0.04633[/C][/ROW]
[ROW][C]24[/C][C]-0.073288[/C][C]-0.6717[/C][C]0.251812[/C][/ROW]
[ROW][C]25[/C][C]-0.161997[/C][C]-1.4847[/C][C]0.07068[/C][/ROW]
[ROW][C]26[/C][C]-0.29637[/C][C]-2.7163[/C][C]0.004007[/C][/ROW]
[ROW][C]27[/C][C]-0.351033[/C][C]-3.2173[/C][C]0.000919[/C][/ROW]
[ROW][C]28[/C][C]-0.303501[/C][C]-2.7816[/C][C]0.003338[/C][/ROW]
[ROW][C]29[/C][C]-0.207077[/C][C]-1.8979[/C][C]0.030573[/C][/ROW]
[ROW][C]30[/C][C]-0.165576[/C][C]-1.5175[/C][C]0.066443[/C][/ROW]
[ROW][C]31[/C][C]-0.221772[/C][C]-2.0326[/C][C]0.022627[/C][/ROW]
[ROW][C]32[/C][C]-0.279211[/C][C]-2.559[/C][C]0.006145[/C][/ROW]
[ROW][C]33[/C][C]-0.230636[/C][C]-2.1138[/C][C]0.018749[/C][/ROW]
[ROW][C]34[/C][C]-0.066565[/C][C]-0.6101[/C][C]0.271727[/C][/ROW]
[ROW][C]35[/C][C]0.14397[/C][C]1.3195[/C][C]0.095292[/C][/ROW]
[ROW][C]36[/C][C]0.258164[/C][C]2.3661[/C][C]0.010139[/C][/ROW]
[ROW][C]37[/C][C]0.149791[/C][C]1.3729[/C][C]0.086725[/C][/ROW]
[ROW][C]38[/C][C]-0.015804[/C][C]-0.1448[/C][C]0.442589[/C][/ROW]
[ROW][C]39[/C][C]-0.091119[/C][C]-0.8351[/C][C]0.203011[/C][/ROW]
[ROW][C]40[/C][C]-0.044822[/C][C]-0.4108[/C][C]0.341131[/C][/ROW]
[ROW][C]41[/C][C]0.075361[/C][C]0.6907[/C][C]0.245831[/C][/ROW]
[ROW][C]42[/C][C]0.156797[/C][C]1.4371[/C][C]0.077206[/C][/ROW]
[ROW][C]43[/C][C]0.130264[/C][C]1.1939[/C][C]0.117941[/C][/ROW]
[ROW][C]44[/C][C]0.063542[/C][C]0.5824[/C][C]0.280938[/C][/ROW]
[ROW][C]45[/C][C]0.028789[/C][C]0.2639[/C][C]0.396269[/C][/ROW]
[ROW][C]46[/C][C]0.052771[/C][C]0.4837[/C][C]0.314944[/C][/ROW]
[ROW][C]47[/C][C]0.132181[/C][C]1.2115[/C][C]0.114559[/C][/ROW]
[ROW][C]48[/C][C]0.202519[/C][C]1.8561[/C][C]0.033472[/C][/ROW]
[ROW][C]49[/C][C]0.181551[/C][C]1.6639[/C][C]0.049925[/C][/ROW]
[ROW][C]50[/C][C]0.139159[/C][C]1.2754[/C][C]0.10284[/C][/ROW]
[ROW][C]51[/C][C]0.110923[/C][C]1.0166[/C][C]0.156126[/C][/ROW]
[ROW][C]52[/C][C]0.09598[/C][C]0.8797[/C][C]0.190772[/C][/ROW]
[ROW][C]53[/C][C]0.082601[/C][C]0.7571[/C][C]0.225568[/C][/ROW]
[ROW][C]54[/C][C]0.054944[/C][C]0.5036[/C][C]0.30794[/C][/ROW]
[ROW][C]55[/C][C]0.009841[/C][C]0.0902[/C][C]0.464174[/C][/ROW]
[ROW][C]56[/C][C]-0.007003[/C][C]-0.0642[/C][C]0.47449[/C][/ROW]
[ROW][C]57[/C][C]0.016864[/C][C]0.1546[/C][C]0.43877[/C][/ROW]
[ROW][C]58[/C][C]0.065024[/C][C]0.596[/C][C]0.276403[/C][/ROW]
[ROW][C]59[/C][C]0.115802[/C][C]1.0613[/C][C]0.145788[/C][/ROW]
[ROW][C]60[/C][C]0.131075[/C][C]1.2013[/C][C]0.116501[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=189714&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=189714&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
10.775717.10950
20.3978263.64610.00023
30.1248261.1440.127927
40.0763010.69930.243145
50.1936961.77530.039739
60.2966582.71890.003978
70.2521142.31070.011652
80.13661.2520.10703
90.064250.58890.278769
100.0826710.75770.225378
110.174071.59540.057192
120.2130131.95230.027117
130.0371450.34040.367187
14-0.172222-1.57840.059111
15-0.283972-2.60260.005467
16-0.275087-2.52120.006792
17-0.201369-1.84560.034238
18-0.180185-1.65140.051193
19-0.276749-2.53640.006524
20-0.397568-3.64380.000232
21-0.432535-3.96427.7e-05
22-0.350814-3.21530.000925
23-0.185584-1.70090.04633
24-0.073288-0.67170.251812
25-0.161997-1.48470.07068
26-0.29637-2.71630.004007
27-0.351033-3.21730.000919
28-0.303501-2.78160.003338
29-0.207077-1.89790.030573
30-0.165576-1.51750.066443
31-0.221772-2.03260.022627
32-0.279211-2.5590.006145
33-0.230636-2.11380.018749
34-0.066565-0.61010.271727
350.143971.31950.095292
360.2581642.36610.010139
370.1497911.37290.086725
38-0.015804-0.14480.442589
39-0.091119-0.83510.203011
40-0.044822-0.41080.341131
410.0753610.69070.245831
420.1567971.43710.077206
430.1302641.19390.117941
440.0635420.58240.280938
450.0287890.26390.396269
460.0527710.48370.314944
470.1321811.21150.114559
480.2025191.85610.033472
490.1815511.66390.049925
500.1391591.27540.10284
510.1109231.01660.156126
520.095980.87970.190772
530.0826010.75710.225568
540.0549440.50360.30794
550.0098410.09020.464174
56-0.007003-0.06420.47449
570.0168640.15460.43877
580.0650240.5960.276403
590.1158021.06130.145788
600.1310751.20130.116501







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.775717.10950
2-0.511958-4.69225e-06
30.1884081.72680.043941
40.2232772.04640.021924
50.1326021.21530.113825
6-0.065582-0.60110.274707
7-0.126142-1.15610.125456
80.1472611.34970.090375
90.064990.59560.276507
100.0051010.04680.481411
110.0870040.79740.213732
12-0.107147-0.9820.164456
13-0.463284-4.24612.8e-05
140.2796962.56350.006072
15-0.113437-1.03970.150739
16-0.256362-2.34960.01057
17-0.083773-0.76780.222381
18-0.078171-0.71650.23785
19-0.164167-1.50460.068087
20-0.137914-1.2640.104862
210.0725540.6650.253945
220.0707980.64890.259094
23-0.029678-0.2720.393144
24-0.025008-0.22920.409635
25-0.06473-0.59330.277301
260.1153211.05690.146785
27-0.016536-0.15160.43995
28-0.079202-0.72590.23496
29-0.070934-0.65010.258693
30-0.079012-0.72420.23549
31-0.072864-0.66780.253042
32-0.047274-0.43330.332963
330.1027390.94160.174543
340.0831350.76190.224113
35-0.057219-0.52440.300685
360.0006180.00570.497746
37-0.074074-0.67890.249533
38-0.005047-0.04630.481606
39-0.045802-0.41980.337857
40-0.076153-0.6980.243567
410.0168710.15460.438745
42-0.036093-0.33080.37081
43-0.089472-0.820.207262
44-0.025355-0.23240.408405
45-0.166205-1.52330.065721
46-0.110586-1.01350.156857
47-0.020706-0.18980.424974
480.0637780.58450.280213
490.1326561.21580.113731
50-0.093181-0.8540.197761
51-0.0973-0.89180.187531
520.0637650.58440.280252
53-0.080891-0.74140.230266
540.03040.27860.390609
550.0976450.89490.186691
56-0.015338-0.14060.444271
57-0.081095-0.74320.229702
58-0.030209-0.27690.391282
59-0.022824-0.20920.417407
60-0.026314-0.24120.405005

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.77571 & 7.1095 & 0 \tabularnewline
2 & -0.511958 & -4.6922 & 5e-06 \tabularnewline
3 & 0.188408 & 1.7268 & 0.043941 \tabularnewline
4 & 0.223277 & 2.0464 & 0.021924 \tabularnewline
5 & 0.132602 & 1.2153 & 0.113825 \tabularnewline
6 & -0.065582 & -0.6011 & 0.274707 \tabularnewline
7 & -0.126142 & -1.1561 & 0.125456 \tabularnewline
8 & 0.147261 & 1.3497 & 0.090375 \tabularnewline
9 & 0.06499 & 0.5956 & 0.276507 \tabularnewline
10 & 0.005101 & 0.0468 & 0.481411 \tabularnewline
11 & 0.087004 & 0.7974 & 0.213732 \tabularnewline
12 & -0.107147 & -0.982 & 0.164456 \tabularnewline
13 & -0.463284 & -4.2461 & 2.8e-05 \tabularnewline
14 & 0.279696 & 2.5635 & 0.006072 \tabularnewline
15 & -0.113437 & -1.0397 & 0.150739 \tabularnewline
16 & -0.256362 & -2.3496 & 0.01057 \tabularnewline
17 & -0.083773 & -0.7678 & 0.222381 \tabularnewline
18 & -0.078171 & -0.7165 & 0.23785 \tabularnewline
19 & -0.164167 & -1.5046 & 0.068087 \tabularnewline
20 & -0.137914 & -1.264 & 0.104862 \tabularnewline
21 & 0.072554 & 0.665 & 0.253945 \tabularnewline
22 & 0.070798 & 0.6489 & 0.259094 \tabularnewline
23 & -0.029678 & -0.272 & 0.393144 \tabularnewline
24 & -0.025008 & -0.2292 & 0.409635 \tabularnewline
25 & -0.06473 & -0.5933 & 0.277301 \tabularnewline
26 & 0.115321 & 1.0569 & 0.146785 \tabularnewline
27 & -0.016536 & -0.1516 & 0.43995 \tabularnewline
28 & -0.079202 & -0.7259 & 0.23496 \tabularnewline
29 & -0.070934 & -0.6501 & 0.258693 \tabularnewline
30 & -0.079012 & -0.7242 & 0.23549 \tabularnewline
31 & -0.072864 & -0.6678 & 0.253042 \tabularnewline
32 & -0.047274 & -0.4333 & 0.332963 \tabularnewline
33 & 0.102739 & 0.9416 & 0.174543 \tabularnewline
34 & 0.083135 & 0.7619 & 0.224113 \tabularnewline
35 & -0.057219 & -0.5244 & 0.300685 \tabularnewline
36 & 0.000618 & 0.0057 & 0.497746 \tabularnewline
37 & -0.074074 & -0.6789 & 0.249533 \tabularnewline
38 & -0.005047 & -0.0463 & 0.481606 \tabularnewline
39 & -0.045802 & -0.4198 & 0.337857 \tabularnewline
40 & -0.076153 & -0.698 & 0.243567 \tabularnewline
41 & 0.016871 & 0.1546 & 0.438745 \tabularnewline
42 & -0.036093 & -0.3308 & 0.37081 \tabularnewline
43 & -0.089472 & -0.82 & 0.207262 \tabularnewline
44 & -0.025355 & -0.2324 & 0.408405 \tabularnewline
45 & -0.166205 & -1.5233 & 0.065721 \tabularnewline
46 & -0.110586 & -1.0135 & 0.156857 \tabularnewline
47 & -0.020706 & -0.1898 & 0.424974 \tabularnewline
48 & 0.063778 & 0.5845 & 0.280213 \tabularnewline
49 & 0.132656 & 1.2158 & 0.113731 \tabularnewline
50 & -0.093181 & -0.854 & 0.197761 \tabularnewline
51 & -0.0973 & -0.8918 & 0.187531 \tabularnewline
52 & 0.063765 & 0.5844 & 0.280252 \tabularnewline
53 & -0.080891 & -0.7414 & 0.230266 \tabularnewline
54 & 0.0304 & 0.2786 & 0.390609 \tabularnewline
55 & 0.097645 & 0.8949 & 0.186691 \tabularnewline
56 & -0.015338 & -0.1406 & 0.444271 \tabularnewline
57 & -0.081095 & -0.7432 & 0.229702 \tabularnewline
58 & -0.030209 & -0.2769 & 0.391282 \tabularnewline
59 & -0.022824 & -0.2092 & 0.417407 \tabularnewline
60 & -0.026314 & -0.2412 & 0.405005 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=189714&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]0.77571[/C][C]7.1095[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.511958[/C][C]-4.6922[/C][C]5e-06[/C][/ROW]
[ROW][C]3[/C][C]0.188408[/C][C]1.7268[/C][C]0.043941[/C][/ROW]
[ROW][C]4[/C][C]0.223277[/C][C]2.0464[/C][C]0.021924[/C][/ROW]
[ROW][C]5[/C][C]0.132602[/C][C]1.2153[/C][C]0.113825[/C][/ROW]
[ROW][C]6[/C][C]-0.065582[/C][C]-0.6011[/C][C]0.274707[/C][/ROW]
[ROW][C]7[/C][C]-0.126142[/C][C]-1.1561[/C][C]0.125456[/C][/ROW]
[ROW][C]8[/C][C]0.147261[/C][C]1.3497[/C][C]0.090375[/C][/ROW]
[ROW][C]9[/C][C]0.06499[/C][C]0.5956[/C][C]0.276507[/C][/ROW]
[ROW][C]10[/C][C]0.005101[/C][C]0.0468[/C][C]0.481411[/C][/ROW]
[ROW][C]11[/C][C]0.087004[/C][C]0.7974[/C][C]0.213732[/C][/ROW]
[ROW][C]12[/C][C]-0.107147[/C][C]-0.982[/C][C]0.164456[/C][/ROW]
[ROW][C]13[/C][C]-0.463284[/C][C]-4.2461[/C][C]2.8e-05[/C][/ROW]
[ROW][C]14[/C][C]0.279696[/C][C]2.5635[/C][C]0.006072[/C][/ROW]
[ROW][C]15[/C][C]-0.113437[/C][C]-1.0397[/C][C]0.150739[/C][/ROW]
[ROW][C]16[/C][C]-0.256362[/C][C]-2.3496[/C][C]0.01057[/C][/ROW]
[ROW][C]17[/C][C]-0.083773[/C][C]-0.7678[/C][C]0.222381[/C][/ROW]
[ROW][C]18[/C][C]-0.078171[/C][C]-0.7165[/C][C]0.23785[/C][/ROW]
[ROW][C]19[/C][C]-0.164167[/C][C]-1.5046[/C][C]0.068087[/C][/ROW]
[ROW][C]20[/C][C]-0.137914[/C][C]-1.264[/C][C]0.104862[/C][/ROW]
[ROW][C]21[/C][C]0.072554[/C][C]0.665[/C][C]0.253945[/C][/ROW]
[ROW][C]22[/C][C]0.070798[/C][C]0.6489[/C][C]0.259094[/C][/ROW]
[ROW][C]23[/C][C]-0.029678[/C][C]-0.272[/C][C]0.393144[/C][/ROW]
[ROW][C]24[/C][C]-0.025008[/C][C]-0.2292[/C][C]0.409635[/C][/ROW]
[ROW][C]25[/C][C]-0.06473[/C][C]-0.5933[/C][C]0.277301[/C][/ROW]
[ROW][C]26[/C][C]0.115321[/C][C]1.0569[/C][C]0.146785[/C][/ROW]
[ROW][C]27[/C][C]-0.016536[/C][C]-0.1516[/C][C]0.43995[/C][/ROW]
[ROW][C]28[/C][C]-0.079202[/C][C]-0.7259[/C][C]0.23496[/C][/ROW]
[ROW][C]29[/C][C]-0.070934[/C][C]-0.6501[/C][C]0.258693[/C][/ROW]
[ROW][C]30[/C][C]-0.079012[/C][C]-0.7242[/C][C]0.23549[/C][/ROW]
[ROW][C]31[/C][C]-0.072864[/C][C]-0.6678[/C][C]0.253042[/C][/ROW]
[ROW][C]32[/C][C]-0.047274[/C][C]-0.4333[/C][C]0.332963[/C][/ROW]
[ROW][C]33[/C][C]0.102739[/C][C]0.9416[/C][C]0.174543[/C][/ROW]
[ROW][C]34[/C][C]0.083135[/C][C]0.7619[/C][C]0.224113[/C][/ROW]
[ROW][C]35[/C][C]-0.057219[/C][C]-0.5244[/C][C]0.300685[/C][/ROW]
[ROW][C]36[/C][C]0.000618[/C][C]0.0057[/C][C]0.497746[/C][/ROW]
[ROW][C]37[/C][C]-0.074074[/C][C]-0.6789[/C][C]0.249533[/C][/ROW]
[ROW][C]38[/C][C]-0.005047[/C][C]-0.0463[/C][C]0.481606[/C][/ROW]
[ROW][C]39[/C][C]-0.045802[/C][C]-0.4198[/C][C]0.337857[/C][/ROW]
[ROW][C]40[/C][C]-0.076153[/C][C]-0.698[/C][C]0.243567[/C][/ROW]
[ROW][C]41[/C][C]0.016871[/C][C]0.1546[/C][C]0.438745[/C][/ROW]
[ROW][C]42[/C][C]-0.036093[/C][C]-0.3308[/C][C]0.37081[/C][/ROW]
[ROW][C]43[/C][C]-0.089472[/C][C]-0.82[/C][C]0.207262[/C][/ROW]
[ROW][C]44[/C][C]-0.025355[/C][C]-0.2324[/C][C]0.408405[/C][/ROW]
[ROW][C]45[/C][C]-0.166205[/C][C]-1.5233[/C][C]0.065721[/C][/ROW]
[ROW][C]46[/C][C]-0.110586[/C][C]-1.0135[/C][C]0.156857[/C][/ROW]
[ROW][C]47[/C][C]-0.020706[/C][C]-0.1898[/C][C]0.424974[/C][/ROW]
[ROW][C]48[/C][C]0.063778[/C][C]0.5845[/C][C]0.280213[/C][/ROW]
[ROW][C]49[/C][C]0.132656[/C][C]1.2158[/C][C]0.113731[/C][/ROW]
[ROW][C]50[/C][C]-0.093181[/C][C]-0.854[/C][C]0.197761[/C][/ROW]
[ROW][C]51[/C][C]-0.0973[/C][C]-0.8918[/C][C]0.187531[/C][/ROW]
[ROW][C]52[/C][C]0.063765[/C][C]0.5844[/C][C]0.280252[/C][/ROW]
[ROW][C]53[/C][C]-0.080891[/C][C]-0.7414[/C][C]0.230266[/C][/ROW]
[ROW][C]54[/C][C]0.0304[/C][C]0.2786[/C][C]0.390609[/C][/ROW]
[ROW][C]55[/C][C]0.097645[/C][C]0.8949[/C][C]0.186691[/C][/ROW]
[ROW][C]56[/C][C]-0.015338[/C][C]-0.1406[/C][C]0.444271[/C][/ROW]
[ROW][C]57[/C][C]-0.081095[/C][C]-0.7432[/C][C]0.229702[/C][/ROW]
[ROW][C]58[/C][C]-0.030209[/C][C]-0.2769[/C][C]0.391282[/C][/ROW]
[ROW][C]59[/C][C]-0.022824[/C][C]-0.2092[/C][C]0.417407[/C][/ROW]
[ROW][C]60[/C][C]-0.026314[/C][C]-0.2412[/C][C]0.405005[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=189714&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=189714&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
10.775717.10950
2-0.511958-4.69225e-06
30.1884081.72680.043941
40.2232772.04640.021924
50.1326021.21530.113825
6-0.065582-0.60110.274707
7-0.126142-1.15610.125456
80.1472611.34970.090375
90.064990.59560.276507
100.0051010.04680.481411
110.0870040.79740.213732
12-0.107147-0.9820.164456
13-0.463284-4.24612.8e-05
140.2796962.56350.006072
15-0.113437-1.03970.150739
16-0.256362-2.34960.01057
17-0.083773-0.76780.222381
18-0.078171-0.71650.23785
19-0.164167-1.50460.068087
20-0.137914-1.2640.104862
210.0725540.6650.253945
220.0707980.64890.259094
23-0.029678-0.2720.393144
24-0.025008-0.22920.409635
25-0.06473-0.59330.277301
260.1153211.05690.146785
27-0.016536-0.15160.43995
28-0.079202-0.72590.23496
29-0.070934-0.65010.258693
30-0.079012-0.72420.23549
31-0.072864-0.66780.253042
32-0.047274-0.43330.332963
330.1027390.94160.174543
340.0831350.76190.224113
35-0.057219-0.52440.300685
360.0006180.00570.497746
37-0.074074-0.67890.249533
38-0.005047-0.04630.481606
39-0.045802-0.41980.337857
40-0.076153-0.6980.243567
410.0168710.15460.438745
42-0.036093-0.33080.37081
43-0.089472-0.820.207262
44-0.025355-0.23240.408405
45-0.166205-1.52330.065721
46-0.110586-1.01350.156857
47-0.020706-0.18980.424974
480.0637780.58450.280213
490.1326561.21580.113731
50-0.093181-0.8540.197761
51-0.0973-0.89180.187531
520.0637650.58440.280252
53-0.080891-0.74140.230266
540.03040.27860.390609
550.0976450.89490.186691
56-0.015338-0.14060.444271
57-0.081095-0.74320.229702
58-0.030209-0.27690.391282
59-0.022824-0.20920.417407
60-0.026314-0.24120.405005



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')