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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationWed, 04 Apr 2012 17:49:02 -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/2012/Apr/04/t1333576333p66i5nnr482s4ss.htm/, Retrieved Sun, 28 Apr 2024 23:55:44 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=164327, Retrieved Sun, 28 Apr 2024 23:55:44 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact122
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2012-04-04 21:49:02] [30c94b4dfb4338ed9c3f059abdec5f3e] [Current]
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Dataseries X:
98,19
98,19
98,19
98,19
98,19
98,19
98,19
100,48
102,78
102,78
102,78
102,78
102,78
102,78
102,78
102,78
102,78
102,78
102,78
101,67
101,67
101,67
101,67
101,67
101,67
101,67
101,67
101,67
101,67
101,67
101,67
105,79
105,79
105,79
105,79
105,79
105,79
105,79
105,79
105,79
105,79
105,79
105,79
104,47
104,47
104,47
104,47
104,47
104,47
104,47
104,47
105,5
105,5
105,5
105,5
106,61
106,61
106,61
106,61
106,61




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164327&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]1 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=164327&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164327&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 time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9092557.04310
20.8048336.23420
30.700415.42541e-06
40.5959884.61651.1e-05
50.4885973.78470.000179
60.3907123.02640.001821
70.2928272.26820.013464
80.2254021.7460.042969
90.19211.4880.070994
100.167621.29840.099563
110.1431391.10880.135981
120.1252890.97050.167851
130.1438431.11420.134818
140.1623971.25790.106646
150.1809521.40160.083087
160.1995061.54540.063758
170.218061.68910.048197
180.2253091.74520.043031
190.2325581.80140.038333
200.2250431.74320.043213
210.2065081.59960.05747
220.1879731.4560.075298
230.1694381.31250.097182
240.1262940.97830.165934
250.0429690.33280.370208
26-0.040356-0.31260.377836
27-0.123681-0.9580.170946
28-0.207006-1.60350.057042
29-0.290331-2.24890.014101
30-0.338371-2.6210.005546
31-0.38641-2.99310.002003
32-0.379649-2.94070.002323
33-0.369918-2.86540.002867
34-0.360188-2.790.003528
35-0.350458-2.71460.004325
36-0.332843-2.57820.006202
37-0.304179-2.35620.010875
38-0.275515-2.13410.018464
39-0.246851-1.91210.030321
40-0.218187-1.69010.048102
41-0.189523-1.4680.073658
42-0.170366-1.31960.095983
43-0.151208-1.17130.123063
44-0.155761-1.20650.116177
45-0.166438-1.28920.101134
46-0.177115-1.37190.087597
47-0.187793-1.45460.075491
48-0.2051-1.58870.058692
49-0.229008-1.77390.040578
50-0.252917-1.95910.027377
51-0.276825-2.14430.018036
52-0.287033-2.22330.014985
53-0.277542-2.14980.017805
54-0.248439-1.92440.029525
55-0.219336-1.6990.047252
56-0.175469-1.35920.089589
57-0.131602-1.01940.156057
58-0.087735-0.67960.249689
59-0.043867-0.33980.367599
60NANANA

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.909255 & 7.0431 & 0 \tabularnewline
2 & 0.804833 & 6.2342 & 0 \tabularnewline
3 & 0.70041 & 5.4254 & 1e-06 \tabularnewline
4 & 0.595988 & 4.6165 & 1.1e-05 \tabularnewline
5 & 0.488597 & 3.7847 & 0.000179 \tabularnewline
6 & 0.390712 & 3.0264 & 0.001821 \tabularnewline
7 & 0.292827 & 2.2682 & 0.013464 \tabularnewline
8 & 0.225402 & 1.746 & 0.042969 \tabularnewline
9 & 0.1921 & 1.488 & 0.070994 \tabularnewline
10 & 0.16762 & 1.2984 & 0.099563 \tabularnewline
11 & 0.143139 & 1.1088 & 0.135981 \tabularnewline
12 & 0.125289 & 0.9705 & 0.167851 \tabularnewline
13 & 0.143843 & 1.1142 & 0.134818 \tabularnewline
14 & 0.162397 & 1.2579 & 0.106646 \tabularnewline
15 & 0.180952 & 1.4016 & 0.083087 \tabularnewline
16 & 0.199506 & 1.5454 & 0.063758 \tabularnewline
17 & 0.21806 & 1.6891 & 0.048197 \tabularnewline
18 & 0.225309 & 1.7452 & 0.043031 \tabularnewline
19 & 0.232558 & 1.8014 & 0.038333 \tabularnewline
20 & 0.225043 & 1.7432 & 0.043213 \tabularnewline
21 & 0.206508 & 1.5996 & 0.05747 \tabularnewline
22 & 0.187973 & 1.456 & 0.075298 \tabularnewline
23 & 0.169438 & 1.3125 & 0.097182 \tabularnewline
24 & 0.126294 & 0.9783 & 0.165934 \tabularnewline
25 & 0.042969 & 0.3328 & 0.370208 \tabularnewline
26 & -0.040356 & -0.3126 & 0.377836 \tabularnewline
27 & -0.123681 & -0.958 & 0.170946 \tabularnewline
28 & -0.207006 & -1.6035 & 0.057042 \tabularnewline
29 & -0.290331 & -2.2489 & 0.014101 \tabularnewline
30 & -0.338371 & -2.621 & 0.005546 \tabularnewline
31 & -0.38641 & -2.9931 & 0.002003 \tabularnewline
32 & -0.379649 & -2.9407 & 0.002323 \tabularnewline
33 & -0.369918 & -2.8654 & 0.002867 \tabularnewline
34 & -0.360188 & -2.79 & 0.003528 \tabularnewline
35 & -0.350458 & -2.7146 & 0.004325 \tabularnewline
36 & -0.332843 & -2.5782 & 0.006202 \tabularnewline
37 & -0.304179 & -2.3562 & 0.010875 \tabularnewline
38 & -0.275515 & -2.1341 & 0.018464 \tabularnewline
39 & -0.246851 & -1.9121 & 0.030321 \tabularnewline
40 & -0.218187 & -1.6901 & 0.048102 \tabularnewline
41 & -0.189523 & -1.468 & 0.073658 \tabularnewline
42 & -0.170366 & -1.3196 & 0.095983 \tabularnewline
43 & -0.151208 & -1.1713 & 0.123063 \tabularnewline
44 & -0.155761 & -1.2065 & 0.116177 \tabularnewline
45 & -0.166438 & -1.2892 & 0.101134 \tabularnewline
46 & -0.177115 & -1.3719 & 0.087597 \tabularnewline
47 & -0.187793 & -1.4546 & 0.075491 \tabularnewline
48 & -0.2051 & -1.5887 & 0.058692 \tabularnewline
49 & -0.229008 & -1.7739 & 0.040578 \tabularnewline
50 & -0.252917 & -1.9591 & 0.027377 \tabularnewline
51 & -0.276825 & -2.1443 & 0.018036 \tabularnewline
52 & -0.287033 & -2.2233 & 0.014985 \tabularnewline
53 & -0.277542 & -2.1498 & 0.017805 \tabularnewline
54 & -0.248439 & -1.9244 & 0.029525 \tabularnewline
55 & -0.219336 & -1.699 & 0.047252 \tabularnewline
56 & -0.175469 & -1.3592 & 0.089589 \tabularnewline
57 & -0.131602 & -1.0194 & 0.156057 \tabularnewline
58 & -0.087735 & -0.6796 & 0.249689 \tabularnewline
59 & -0.043867 & -0.3398 & 0.367599 \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164327&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]0.909255[/C][C]7.0431[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.804833[/C][C]6.2342[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.70041[/C][C]5.4254[/C][C]1e-06[/C][/ROW]
[ROW][C]4[/C][C]0.595988[/C][C]4.6165[/C][C]1.1e-05[/C][/ROW]
[ROW][C]5[/C][C]0.488597[/C][C]3.7847[/C][C]0.000179[/C][/ROW]
[ROW][C]6[/C][C]0.390712[/C][C]3.0264[/C][C]0.001821[/C][/ROW]
[ROW][C]7[/C][C]0.292827[/C][C]2.2682[/C][C]0.013464[/C][/ROW]
[ROW][C]8[/C][C]0.225402[/C][C]1.746[/C][C]0.042969[/C][/ROW]
[ROW][C]9[/C][C]0.1921[/C][C]1.488[/C][C]0.070994[/C][/ROW]
[ROW][C]10[/C][C]0.16762[/C][C]1.2984[/C][C]0.099563[/C][/ROW]
[ROW][C]11[/C][C]0.143139[/C][C]1.1088[/C][C]0.135981[/C][/ROW]
[ROW][C]12[/C][C]0.125289[/C][C]0.9705[/C][C]0.167851[/C][/ROW]
[ROW][C]13[/C][C]0.143843[/C][C]1.1142[/C][C]0.134818[/C][/ROW]
[ROW][C]14[/C][C]0.162397[/C][C]1.2579[/C][C]0.106646[/C][/ROW]
[ROW][C]15[/C][C]0.180952[/C][C]1.4016[/C][C]0.083087[/C][/ROW]
[ROW][C]16[/C][C]0.199506[/C][C]1.5454[/C][C]0.063758[/C][/ROW]
[ROW][C]17[/C][C]0.21806[/C][C]1.6891[/C][C]0.048197[/C][/ROW]
[ROW][C]18[/C][C]0.225309[/C][C]1.7452[/C][C]0.043031[/C][/ROW]
[ROW][C]19[/C][C]0.232558[/C][C]1.8014[/C][C]0.038333[/C][/ROW]
[ROW][C]20[/C][C]0.225043[/C][C]1.7432[/C][C]0.043213[/C][/ROW]
[ROW][C]21[/C][C]0.206508[/C][C]1.5996[/C][C]0.05747[/C][/ROW]
[ROW][C]22[/C][C]0.187973[/C][C]1.456[/C][C]0.075298[/C][/ROW]
[ROW][C]23[/C][C]0.169438[/C][C]1.3125[/C][C]0.097182[/C][/ROW]
[ROW][C]24[/C][C]0.126294[/C][C]0.9783[/C][C]0.165934[/C][/ROW]
[ROW][C]25[/C][C]0.042969[/C][C]0.3328[/C][C]0.370208[/C][/ROW]
[ROW][C]26[/C][C]-0.040356[/C][C]-0.3126[/C][C]0.377836[/C][/ROW]
[ROW][C]27[/C][C]-0.123681[/C][C]-0.958[/C][C]0.170946[/C][/ROW]
[ROW][C]28[/C][C]-0.207006[/C][C]-1.6035[/C][C]0.057042[/C][/ROW]
[ROW][C]29[/C][C]-0.290331[/C][C]-2.2489[/C][C]0.014101[/C][/ROW]
[ROW][C]30[/C][C]-0.338371[/C][C]-2.621[/C][C]0.005546[/C][/ROW]
[ROW][C]31[/C][C]-0.38641[/C][C]-2.9931[/C][C]0.002003[/C][/ROW]
[ROW][C]32[/C][C]-0.379649[/C][C]-2.9407[/C][C]0.002323[/C][/ROW]
[ROW][C]33[/C][C]-0.369918[/C][C]-2.8654[/C][C]0.002867[/C][/ROW]
[ROW][C]34[/C][C]-0.360188[/C][C]-2.79[/C][C]0.003528[/C][/ROW]
[ROW][C]35[/C][C]-0.350458[/C][C]-2.7146[/C][C]0.004325[/C][/ROW]
[ROW][C]36[/C][C]-0.332843[/C][C]-2.5782[/C][C]0.006202[/C][/ROW]
[ROW][C]37[/C][C]-0.304179[/C][C]-2.3562[/C][C]0.010875[/C][/ROW]
[ROW][C]38[/C][C]-0.275515[/C][C]-2.1341[/C][C]0.018464[/C][/ROW]
[ROW][C]39[/C][C]-0.246851[/C][C]-1.9121[/C][C]0.030321[/C][/ROW]
[ROW][C]40[/C][C]-0.218187[/C][C]-1.6901[/C][C]0.048102[/C][/ROW]
[ROW][C]41[/C][C]-0.189523[/C][C]-1.468[/C][C]0.073658[/C][/ROW]
[ROW][C]42[/C][C]-0.170366[/C][C]-1.3196[/C][C]0.095983[/C][/ROW]
[ROW][C]43[/C][C]-0.151208[/C][C]-1.1713[/C][C]0.123063[/C][/ROW]
[ROW][C]44[/C][C]-0.155761[/C][C]-1.2065[/C][C]0.116177[/C][/ROW]
[ROW][C]45[/C][C]-0.166438[/C][C]-1.2892[/C][C]0.101134[/C][/ROW]
[ROW][C]46[/C][C]-0.177115[/C][C]-1.3719[/C][C]0.087597[/C][/ROW]
[ROW][C]47[/C][C]-0.187793[/C][C]-1.4546[/C][C]0.075491[/C][/ROW]
[ROW][C]48[/C][C]-0.2051[/C][C]-1.5887[/C][C]0.058692[/C][/ROW]
[ROW][C]49[/C][C]-0.229008[/C][C]-1.7739[/C][C]0.040578[/C][/ROW]
[ROW][C]50[/C][C]-0.252917[/C][C]-1.9591[/C][C]0.027377[/C][/ROW]
[ROW][C]51[/C][C]-0.276825[/C][C]-2.1443[/C][C]0.018036[/C][/ROW]
[ROW][C]52[/C][C]-0.287033[/C][C]-2.2233[/C][C]0.014985[/C][/ROW]
[ROW][C]53[/C][C]-0.277542[/C][C]-2.1498[/C][C]0.017805[/C][/ROW]
[ROW][C]54[/C][C]-0.248439[/C][C]-1.9244[/C][C]0.029525[/C][/ROW]
[ROW][C]55[/C][C]-0.219336[/C][C]-1.699[/C][C]0.047252[/C][/ROW]
[ROW][C]56[/C][C]-0.175469[/C][C]-1.3592[/C][C]0.089589[/C][/ROW]
[ROW][C]57[/C][C]-0.131602[/C][C]-1.0194[/C][C]0.156057[/C][/ROW]
[ROW][C]58[/C][C]-0.087735[/C][C]-0.6796[/C][C]0.249689[/C][/ROW]
[ROW][C]59[/C][C]-0.043867[/C][C]-0.3398[/C][C]0.367599[/C][/ROW]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164327&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164327&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
10.9092557.04310
20.8048336.23420
30.700415.42541e-06
40.5959884.61651.1e-05
50.4885973.78470.000179
60.3907123.02640.001821
70.2928272.26820.013464
80.2254021.7460.042969
90.19211.4880.070994
100.167621.29840.099563
110.1431391.10880.135981
120.1252890.97050.167851
130.1438431.11420.134818
140.1623971.25790.106646
150.1809521.40160.083087
160.1995061.54540.063758
170.218061.68910.048197
180.2253091.74520.043031
190.2325581.80140.038333
200.2250431.74320.043213
210.2065081.59960.05747
220.1879731.4560.075298
230.1694381.31250.097182
240.1262940.97830.165934
250.0429690.33280.370208
26-0.040356-0.31260.377836
27-0.123681-0.9580.170946
28-0.207006-1.60350.057042
29-0.290331-2.24890.014101
30-0.338371-2.6210.005546
31-0.38641-2.99310.002003
32-0.379649-2.94070.002323
33-0.369918-2.86540.002867
34-0.360188-2.790.003528
35-0.350458-2.71460.004325
36-0.332843-2.57820.006202
37-0.304179-2.35620.010875
38-0.275515-2.13410.018464
39-0.246851-1.91210.030321
40-0.218187-1.69010.048102
41-0.189523-1.4680.073658
42-0.170366-1.31960.095983
43-0.151208-1.17130.123063
44-0.155761-1.20650.116177
45-0.166438-1.28920.101134
46-0.177115-1.37190.087597
47-0.187793-1.45460.075491
48-0.2051-1.58870.058692
49-0.229008-1.77390.040578
50-0.252917-1.95910.027377
51-0.276825-2.14430.018036
52-0.287033-2.22330.014985
53-0.277542-2.14980.017805
54-0.248439-1.92440.029525
55-0.219336-1.6990.047252
56-0.175469-1.35920.089589
57-0.131602-1.01940.156057
58-0.087735-0.67960.249689
59-0.043867-0.33980.367599
60NANANA







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9092557.04310
2-0.126475-0.97970.165592
3-0.052465-0.40640.342951
4-0.061857-0.47910.316788
5-0.08297-0.64270.261439
6-0.013378-0.10360.458907
7-0.07842-0.60740.272925
80.1072060.83040.204798
90.1212060.93890.175785
10-0.012908-0.10.460346
11-0.038181-0.29570.384223
12-0.008349-0.06470.474324
130.1909181.47880.072207
14-0.028728-0.22250.412329
150.0121040.09380.462807
160.0444090.3440.366029
170.0317550.2460.403271
18-0.041619-0.32240.374142
19-0.004539-0.03520.486036
20-0.016241-0.12580.450155
210.0056830.0440.482516
220.0084640.06560.473971
23-0.009003-0.06970.472319
24-0.136579-1.05790.147163
25-0.237645-1.84080.035299
26-0.051463-0.39860.34579
27-0.070821-0.54860.292665
28-0.083662-0.6480.259715
29-0.098594-0.76370.224018
300.1205630.93390.177055
31-0.109374-0.84720.200123
320.1652451.280.102739
33-0.156994-1.21610.11436
34-0.035636-0.2760.391735
35-0.033705-0.26110.397464
36-0.076133-0.58970.278795
370.0441320.34180.366832
38-0.010639-0.08240.467299
390.0625850.48480.314798
400.0381640.29560.384271
41-0.001491-0.01160.495411
420.0219090.16970.432906
43-0.005477-0.04240.48315
44-0.008139-0.0630.474971
45-0.018253-0.14140.444018
460.0027160.0210.491641
470.0129850.10060.460108
480.0227470.17620.430367
49-0.03355-0.25990.397924
50-0.005291-0.0410.483721
51-0.032536-0.2520.400942
520.0727660.56360.28755
530.0813390.63010.265526
540.0529780.41040.341501
55-0.060461-0.46830.320624
56-0.045835-0.3550.361905
57-0.021672-0.16790.433626
58-0.02027-0.1570.437883
590.0518170.40140.344785
60NANANA

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.909255 & 7.0431 & 0 \tabularnewline
2 & -0.126475 & -0.9797 & 0.165592 \tabularnewline
3 & -0.052465 & -0.4064 & 0.342951 \tabularnewline
4 & -0.061857 & -0.4791 & 0.316788 \tabularnewline
5 & -0.08297 & -0.6427 & 0.261439 \tabularnewline
6 & -0.013378 & -0.1036 & 0.458907 \tabularnewline
7 & -0.07842 & -0.6074 & 0.272925 \tabularnewline
8 & 0.107206 & 0.8304 & 0.204798 \tabularnewline
9 & 0.121206 & 0.9389 & 0.175785 \tabularnewline
10 & -0.012908 & -0.1 & 0.460346 \tabularnewline
11 & -0.038181 & -0.2957 & 0.384223 \tabularnewline
12 & -0.008349 & -0.0647 & 0.474324 \tabularnewline
13 & 0.190918 & 1.4788 & 0.072207 \tabularnewline
14 & -0.028728 & -0.2225 & 0.412329 \tabularnewline
15 & 0.012104 & 0.0938 & 0.462807 \tabularnewline
16 & 0.044409 & 0.344 & 0.366029 \tabularnewline
17 & 0.031755 & 0.246 & 0.403271 \tabularnewline
18 & -0.041619 & -0.3224 & 0.374142 \tabularnewline
19 & -0.004539 & -0.0352 & 0.486036 \tabularnewline
20 & -0.016241 & -0.1258 & 0.450155 \tabularnewline
21 & 0.005683 & 0.044 & 0.482516 \tabularnewline
22 & 0.008464 & 0.0656 & 0.473971 \tabularnewline
23 & -0.009003 & -0.0697 & 0.472319 \tabularnewline
24 & -0.136579 & -1.0579 & 0.147163 \tabularnewline
25 & -0.237645 & -1.8408 & 0.035299 \tabularnewline
26 & -0.051463 & -0.3986 & 0.34579 \tabularnewline
27 & -0.070821 & -0.5486 & 0.292665 \tabularnewline
28 & -0.083662 & -0.648 & 0.259715 \tabularnewline
29 & -0.098594 & -0.7637 & 0.224018 \tabularnewline
30 & 0.120563 & 0.9339 & 0.177055 \tabularnewline
31 & -0.109374 & -0.8472 & 0.200123 \tabularnewline
32 & 0.165245 & 1.28 & 0.102739 \tabularnewline
33 & -0.156994 & -1.2161 & 0.11436 \tabularnewline
34 & -0.035636 & -0.276 & 0.391735 \tabularnewline
35 & -0.033705 & -0.2611 & 0.397464 \tabularnewline
36 & -0.076133 & -0.5897 & 0.278795 \tabularnewline
37 & 0.044132 & 0.3418 & 0.366832 \tabularnewline
38 & -0.010639 & -0.0824 & 0.467299 \tabularnewline
39 & 0.062585 & 0.4848 & 0.314798 \tabularnewline
40 & 0.038164 & 0.2956 & 0.384271 \tabularnewline
41 & -0.001491 & -0.0116 & 0.495411 \tabularnewline
42 & 0.021909 & 0.1697 & 0.432906 \tabularnewline
43 & -0.005477 & -0.0424 & 0.48315 \tabularnewline
44 & -0.008139 & -0.063 & 0.474971 \tabularnewline
45 & -0.018253 & -0.1414 & 0.444018 \tabularnewline
46 & 0.002716 & 0.021 & 0.491641 \tabularnewline
47 & 0.012985 & 0.1006 & 0.460108 \tabularnewline
48 & 0.022747 & 0.1762 & 0.430367 \tabularnewline
49 & -0.03355 & -0.2599 & 0.397924 \tabularnewline
50 & -0.005291 & -0.041 & 0.483721 \tabularnewline
51 & -0.032536 & -0.252 & 0.400942 \tabularnewline
52 & 0.072766 & 0.5636 & 0.28755 \tabularnewline
53 & 0.081339 & 0.6301 & 0.265526 \tabularnewline
54 & 0.052978 & 0.4104 & 0.341501 \tabularnewline
55 & -0.060461 & -0.4683 & 0.320624 \tabularnewline
56 & -0.045835 & -0.355 & 0.361905 \tabularnewline
57 & -0.021672 & -0.1679 & 0.433626 \tabularnewline
58 & -0.02027 & -0.157 & 0.437883 \tabularnewline
59 & 0.051817 & 0.4014 & 0.344785 \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164327&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]0.909255[/C][C]7.0431[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.126475[/C][C]-0.9797[/C][C]0.165592[/C][/ROW]
[ROW][C]3[/C][C]-0.052465[/C][C]-0.4064[/C][C]0.342951[/C][/ROW]
[ROW][C]4[/C][C]-0.061857[/C][C]-0.4791[/C][C]0.316788[/C][/ROW]
[ROW][C]5[/C][C]-0.08297[/C][C]-0.6427[/C][C]0.261439[/C][/ROW]
[ROW][C]6[/C][C]-0.013378[/C][C]-0.1036[/C][C]0.458907[/C][/ROW]
[ROW][C]7[/C][C]-0.07842[/C][C]-0.6074[/C][C]0.272925[/C][/ROW]
[ROW][C]8[/C][C]0.107206[/C][C]0.8304[/C][C]0.204798[/C][/ROW]
[ROW][C]9[/C][C]0.121206[/C][C]0.9389[/C][C]0.175785[/C][/ROW]
[ROW][C]10[/C][C]-0.012908[/C][C]-0.1[/C][C]0.460346[/C][/ROW]
[ROW][C]11[/C][C]-0.038181[/C][C]-0.2957[/C][C]0.384223[/C][/ROW]
[ROW][C]12[/C][C]-0.008349[/C][C]-0.0647[/C][C]0.474324[/C][/ROW]
[ROW][C]13[/C][C]0.190918[/C][C]1.4788[/C][C]0.072207[/C][/ROW]
[ROW][C]14[/C][C]-0.028728[/C][C]-0.2225[/C][C]0.412329[/C][/ROW]
[ROW][C]15[/C][C]0.012104[/C][C]0.0938[/C][C]0.462807[/C][/ROW]
[ROW][C]16[/C][C]0.044409[/C][C]0.344[/C][C]0.366029[/C][/ROW]
[ROW][C]17[/C][C]0.031755[/C][C]0.246[/C][C]0.403271[/C][/ROW]
[ROW][C]18[/C][C]-0.041619[/C][C]-0.3224[/C][C]0.374142[/C][/ROW]
[ROW][C]19[/C][C]-0.004539[/C][C]-0.0352[/C][C]0.486036[/C][/ROW]
[ROW][C]20[/C][C]-0.016241[/C][C]-0.1258[/C][C]0.450155[/C][/ROW]
[ROW][C]21[/C][C]0.005683[/C][C]0.044[/C][C]0.482516[/C][/ROW]
[ROW][C]22[/C][C]0.008464[/C][C]0.0656[/C][C]0.473971[/C][/ROW]
[ROW][C]23[/C][C]-0.009003[/C][C]-0.0697[/C][C]0.472319[/C][/ROW]
[ROW][C]24[/C][C]-0.136579[/C][C]-1.0579[/C][C]0.147163[/C][/ROW]
[ROW][C]25[/C][C]-0.237645[/C][C]-1.8408[/C][C]0.035299[/C][/ROW]
[ROW][C]26[/C][C]-0.051463[/C][C]-0.3986[/C][C]0.34579[/C][/ROW]
[ROW][C]27[/C][C]-0.070821[/C][C]-0.5486[/C][C]0.292665[/C][/ROW]
[ROW][C]28[/C][C]-0.083662[/C][C]-0.648[/C][C]0.259715[/C][/ROW]
[ROW][C]29[/C][C]-0.098594[/C][C]-0.7637[/C][C]0.224018[/C][/ROW]
[ROW][C]30[/C][C]0.120563[/C][C]0.9339[/C][C]0.177055[/C][/ROW]
[ROW][C]31[/C][C]-0.109374[/C][C]-0.8472[/C][C]0.200123[/C][/ROW]
[ROW][C]32[/C][C]0.165245[/C][C]1.28[/C][C]0.102739[/C][/ROW]
[ROW][C]33[/C][C]-0.156994[/C][C]-1.2161[/C][C]0.11436[/C][/ROW]
[ROW][C]34[/C][C]-0.035636[/C][C]-0.276[/C][C]0.391735[/C][/ROW]
[ROW][C]35[/C][C]-0.033705[/C][C]-0.2611[/C][C]0.397464[/C][/ROW]
[ROW][C]36[/C][C]-0.076133[/C][C]-0.5897[/C][C]0.278795[/C][/ROW]
[ROW][C]37[/C][C]0.044132[/C][C]0.3418[/C][C]0.366832[/C][/ROW]
[ROW][C]38[/C][C]-0.010639[/C][C]-0.0824[/C][C]0.467299[/C][/ROW]
[ROW][C]39[/C][C]0.062585[/C][C]0.4848[/C][C]0.314798[/C][/ROW]
[ROW][C]40[/C][C]0.038164[/C][C]0.2956[/C][C]0.384271[/C][/ROW]
[ROW][C]41[/C][C]-0.001491[/C][C]-0.0116[/C][C]0.495411[/C][/ROW]
[ROW][C]42[/C][C]0.021909[/C][C]0.1697[/C][C]0.432906[/C][/ROW]
[ROW][C]43[/C][C]-0.005477[/C][C]-0.0424[/C][C]0.48315[/C][/ROW]
[ROW][C]44[/C][C]-0.008139[/C][C]-0.063[/C][C]0.474971[/C][/ROW]
[ROW][C]45[/C][C]-0.018253[/C][C]-0.1414[/C][C]0.444018[/C][/ROW]
[ROW][C]46[/C][C]0.002716[/C][C]0.021[/C][C]0.491641[/C][/ROW]
[ROW][C]47[/C][C]0.012985[/C][C]0.1006[/C][C]0.460108[/C][/ROW]
[ROW][C]48[/C][C]0.022747[/C][C]0.1762[/C][C]0.430367[/C][/ROW]
[ROW][C]49[/C][C]-0.03355[/C][C]-0.2599[/C][C]0.397924[/C][/ROW]
[ROW][C]50[/C][C]-0.005291[/C][C]-0.041[/C][C]0.483721[/C][/ROW]
[ROW][C]51[/C][C]-0.032536[/C][C]-0.252[/C][C]0.400942[/C][/ROW]
[ROW][C]52[/C][C]0.072766[/C][C]0.5636[/C][C]0.28755[/C][/ROW]
[ROW][C]53[/C][C]0.081339[/C][C]0.6301[/C][C]0.265526[/C][/ROW]
[ROW][C]54[/C][C]0.052978[/C][C]0.4104[/C][C]0.341501[/C][/ROW]
[ROW][C]55[/C][C]-0.060461[/C][C]-0.4683[/C][C]0.320624[/C][/ROW]
[ROW][C]56[/C][C]-0.045835[/C][C]-0.355[/C][C]0.361905[/C][/ROW]
[ROW][C]57[/C][C]-0.021672[/C][C]-0.1679[/C][C]0.433626[/C][/ROW]
[ROW][C]58[/C][C]-0.02027[/C][C]-0.157[/C][C]0.437883[/C][/ROW]
[ROW][C]59[/C][C]0.051817[/C][C]0.4014[/C][C]0.344785[/C][/ROW]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164327&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164327&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
10.9092557.04310
2-0.126475-0.97970.165592
3-0.052465-0.40640.342951
4-0.061857-0.47910.316788
5-0.08297-0.64270.261439
6-0.013378-0.10360.458907
7-0.07842-0.60740.272925
80.1072060.83040.204798
90.1212060.93890.175785
10-0.012908-0.10.460346
11-0.038181-0.29570.384223
12-0.008349-0.06470.474324
130.1909181.47880.072207
14-0.028728-0.22250.412329
150.0121040.09380.462807
160.0444090.3440.366029
170.0317550.2460.403271
18-0.041619-0.32240.374142
19-0.004539-0.03520.486036
20-0.016241-0.12580.450155
210.0056830.0440.482516
220.0084640.06560.473971
23-0.009003-0.06970.472319
24-0.136579-1.05790.147163
25-0.237645-1.84080.035299
26-0.051463-0.39860.34579
27-0.070821-0.54860.292665
28-0.083662-0.6480.259715
29-0.098594-0.76370.224018
300.1205630.93390.177055
31-0.109374-0.84720.200123
320.1652451.280.102739
33-0.156994-1.21610.11436
34-0.035636-0.2760.391735
35-0.033705-0.26110.397464
36-0.076133-0.58970.278795
370.0441320.34180.366832
38-0.010639-0.08240.467299
390.0625850.48480.314798
400.0381640.29560.384271
41-0.001491-0.01160.495411
420.0219090.16970.432906
43-0.005477-0.04240.48315
44-0.008139-0.0630.474971
45-0.018253-0.14140.444018
460.0027160.0210.491641
470.0129850.10060.460108
480.0227470.17620.430367
49-0.03355-0.25990.397924
50-0.005291-0.0410.483721
51-0.032536-0.2520.400942
520.0727660.56360.28755
530.0813390.63010.265526
540.0529780.41040.341501
55-0.060461-0.46830.320624
56-0.045835-0.3550.361905
57-0.021672-0.16790.433626
58-0.02027-0.1570.437883
590.0518170.40140.344785
60NANANA



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')