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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, 22 May 2013 14:19:07 -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/22/t1369246997smzjkmajg4umxck.htm/, Retrieved Thu, 02 May 2024 15:26:15 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=210287, Retrieved Thu, 02 May 2024 15:26:15 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact52
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [autocorrelation g...] [2013-05-22 18:19:07] [a0dc50058fa7049d3ca1c49ed2014afb] [Current]
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Dataseries X:
109,77
109,77
109,77
109,77
109,77
109,77
109,77
109,77
109,77
109,77
109,77
109,77
109,86
110,12
110,5
113,73
119,84
119,83
113,06
112,45
110,07
110,09
110,72
109,9
109,9
110,06
110,52
116,16
118,54
118,77
113,71
106,98
106,98
106,98
106,98
106,98
106,98
107,43
107,93
111,99
115,4
115,53
115,22
102,75
102,75
102,75
102,75
102,75
102,75
102,87
103,13
108,52
111,6
111,32
108,77
100,05
100,05
100,05
100,05
100,05
100,05
100,07
100,07
109,26
110
110
109,26
99,42
99,42
99,42
99,42
99,42




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210287&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=210287&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210287&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'George Udny Yule' @ yule.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.7606545.8920
20.6218924.81725e-06
30.5312984.11546e-05
40.4270883.30820.000795
50.3857622.98810.002032
60.3241682.5110.007375
70.2812962.17890.016638
80.2660212.06060.021843
90.214821.6640.050665
100.2332631.80690.0379
110.1770381.37130.08769
120.1072570.83080.204688
130.0918210.71120.239846
140.0058370.04520.482045
15-0.03549-0.27490.392168
16-0.099585-0.77140.221753
17-0.119797-0.92790.178577
18-0.125393-0.97130.167651
19-0.136884-1.06030.146629
20-0.142981-1.10750.136243
21-0.121395-0.94030.175412
22-0.171542-1.32880.094479
23-0.162767-1.26080.106133
24-0.180446-1.39770.08367
25-0.122965-0.95250.172336
26-0.146603-1.13560.130324
27-0.23914-1.85240.034447
28-0.251523-1.94830.028031
29-0.259762-2.01210.024352
30-0.270551-2.09570.020169
31-0.288251-2.23280.014653
32-0.312961-2.42420.009187
33-0.276861-2.14460.018024
34-0.268718-2.08150.020832
35-0.270256-2.09340.020275
36-0.225926-1.750.042614
37-0.256092-1.98370.025936
38-0.22129-1.71410.045836
39-0.149091-1.15490.126364
40-0.12203-0.94520.174164
41-0.10069-0.77990.219246
42-0.094899-0.73510.232576
43-0.081274-0.62950.265692
44-0.060334-0.46730.320973
45-0.056402-0.43690.331879
46-0.00383-0.02970.488215
470.0325260.25190.400972
480.0304810.23610.407078
490.0521620.4040.343807
500.0676850.52430.301006
510.063680.49330.311814
520.052750.40860.342144
530.0496610.38470.350922
540.0450180.34870.364264
550.0277770.21520.415185
560.013340.10330.459022
570.0066220.05130.47963
580.0039850.03090.487738
590.0018280.01420.494374
60NANANA

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.760654 & 5.892 & 0 \tabularnewline
2 & 0.621892 & 4.8172 & 5e-06 \tabularnewline
3 & 0.531298 & 4.1154 & 6e-05 \tabularnewline
4 & 0.427088 & 3.3082 & 0.000795 \tabularnewline
5 & 0.385762 & 2.9881 & 0.002032 \tabularnewline
6 & 0.324168 & 2.511 & 0.007375 \tabularnewline
7 & 0.281296 & 2.1789 & 0.016638 \tabularnewline
8 & 0.266021 & 2.0606 & 0.021843 \tabularnewline
9 & 0.21482 & 1.664 & 0.050665 \tabularnewline
10 & 0.233263 & 1.8069 & 0.0379 \tabularnewline
11 & 0.177038 & 1.3713 & 0.08769 \tabularnewline
12 & 0.107257 & 0.8308 & 0.204688 \tabularnewline
13 & 0.091821 & 0.7112 & 0.239846 \tabularnewline
14 & 0.005837 & 0.0452 & 0.482045 \tabularnewline
15 & -0.03549 & -0.2749 & 0.392168 \tabularnewline
16 & -0.099585 & -0.7714 & 0.221753 \tabularnewline
17 & -0.119797 & -0.9279 & 0.178577 \tabularnewline
18 & -0.125393 & -0.9713 & 0.167651 \tabularnewline
19 & -0.136884 & -1.0603 & 0.146629 \tabularnewline
20 & -0.142981 & -1.1075 & 0.136243 \tabularnewline
21 & -0.121395 & -0.9403 & 0.175412 \tabularnewline
22 & -0.171542 & -1.3288 & 0.094479 \tabularnewline
23 & -0.162767 & -1.2608 & 0.106133 \tabularnewline
24 & -0.180446 & -1.3977 & 0.08367 \tabularnewline
25 & -0.122965 & -0.9525 & 0.172336 \tabularnewline
26 & -0.146603 & -1.1356 & 0.130324 \tabularnewline
27 & -0.23914 & -1.8524 & 0.034447 \tabularnewline
28 & -0.251523 & -1.9483 & 0.028031 \tabularnewline
29 & -0.259762 & -2.0121 & 0.024352 \tabularnewline
30 & -0.270551 & -2.0957 & 0.020169 \tabularnewline
31 & -0.288251 & -2.2328 & 0.014653 \tabularnewline
32 & -0.312961 & -2.4242 & 0.009187 \tabularnewline
33 & -0.276861 & -2.1446 & 0.018024 \tabularnewline
34 & -0.268718 & -2.0815 & 0.020832 \tabularnewline
35 & -0.270256 & -2.0934 & 0.020275 \tabularnewline
36 & -0.225926 & -1.75 & 0.042614 \tabularnewline
37 & -0.256092 & -1.9837 & 0.025936 \tabularnewline
38 & -0.22129 & -1.7141 & 0.045836 \tabularnewline
39 & -0.149091 & -1.1549 & 0.126364 \tabularnewline
40 & -0.12203 & -0.9452 & 0.174164 \tabularnewline
41 & -0.10069 & -0.7799 & 0.219246 \tabularnewline
42 & -0.094899 & -0.7351 & 0.232576 \tabularnewline
43 & -0.081274 & -0.6295 & 0.265692 \tabularnewline
44 & -0.060334 & -0.4673 & 0.320973 \tabularnewline
45 & -0.056402 & -0.4369 & 0.331879 \tabularnewline
46 & -0.00383 & -0.0297 & 0.488215 \tabularnewline
47 & 0.032526 & 0.2519 & 0.400972 \tabularnewline
48 & 0.030481 & 0.2361 & 0.407078 \tabularnewline
49 & 0.052162 & 0.404 & 0.343807 \tabularnewline
50 & 0.067685 & 0.5243 & 0.301006 \tabularnewline
51 & 0.06368 & 0.4933 & 0.311814 \tabularnewline
52 & 0.05275 & 0.4086 & 0.342144 \tabularnewline
53 & 0.049661 & 0.3847 & 0.350922 \tabularnewline
54 & 0.045018 & 0.3487 & 0.364264 \tabularnewline
55 & 0.027777 & 0.2152 & 0.415185 \tabularnewline
56 & 0.01334 & 0.1033 & 0.459022 \tabularnewline
57 & 0.006622 & 0.0513 & 0.47963 \tabularnewline
58 & 0.003985 & 0.0309 & 0.487738 \tabularnewline
59 & 0.001828 & 0.0142 & 0.494374 \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210287&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]0.760654[/C][C]5.892[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.621892[/C][C]4.8172[/C][C]5e-06[/C][/ROW]
[ROW][C]3[/C][C]0.531298[/C][C]4.1154[/C][C]6e-05[/C][/ROW]
[ROW][C]4[/C][C]0.427088[/C][C]3.3082[/C][C]0.000795[/C][/ROW]
[ROW][C]5[/C][C]0.385762[/C][C]2.9881[/C][C]0.002032[/C][/ROW]
[ROW][C]6[/C][C]0.324168[/C][C]2.511[/C][C]0.007375[/C][/ROW]
[ROW][C]7[/C][C]0.281296[/C][C]2.1789[/C][C]0.016638[/C][/ROW]
[ROW][C]8[/C][C]0.266021[/C][C]2.0606[/C][C]0.021843[/C][/ROW]
[ROW][C]9[/C][C]0.21482[/C][C]1.664[/C][C]0.050665[/C][/ROW]
[ROW][C]10[/C][C]0.233263[/C][C]1.8069[/C][C]0.0379[/C][/ROW]
[ROW][C]11[/C][C]0.177038[/C][C]1.3713[/C][C]0.08769[/C][/ROW]
[ROW][C]12[/C][C]0.107257[/C][C]0.8308[/C][C]0.204688[/C][/ROW]
[ROW][C]13[/C][C]0.091821[/C][C]0.7112[/C][C]0.239846[/C][/ROW]
[ROW][C]14[/C][C]0.005837[/C][C]0.0452[/C][C]0.482045[/C][/ROW]
[ROW][C]15[/C][C]-0.03549[/C][C]-0.2749[/C][C]0.392168[/C][/ROW]
[ROW][C]16[/C][C]-0.099585[/C][C]-0.7714[/C][C]0.221753[/C][/ROW]
[ROW][C]17[/C][C]-0.119797[/C][C]-0.9279[/C][C]0.178577[/C][/ROW]
[ROW][C]18[/C][C]-0.125393[/C][C]-0.9713[/C][C]0.167651[/C][/ROW]
[ROW][C]19[/C][C]-0.136884[/C][C]-1.0603[/C][C]0.146629[/C][/ROW]
[ROW][C]20[/C][C]-0.142981[/C][C]-1.1075[/C][C]0.136243[/C][/ROW]
[ROW][C]21[/C][C]-0.121395[/C][C]-0.9403[/C][C]0.175412[/C][/ROW]
[ROW][C]22[/C][C]-0.171542[/C][C]-1.3288[/C][C]0.094479[/C][/ROW]
[ROW][C]23[/C][C]-0.162767[/C][C]-1.2608[/C][C]0.106133[/C][/ROW]
[ROW][C]24[/C][C]-0.180446[/C][C]-1.3977[/C][C]0.08367[/C][/ROW]
[ROW][C]25[/C][C]-0.122965[/C][C]-0.9525[/C][C]0.172336[/C][/ROW]
[ROW][C]26[/C][C]-0.146603[/C][C]-1.1356[/C][C]0.130324[/C][/ROW]
[ROW][C]27[/C][C]-0.23914[/C][C]-1.8524[/C][C]0.034447[/C][/ROW]
[ROW][C]28[/C][C]-0.251523[/C][C]-1.9483[/C][C]0.028031[/C][/ROW]
[ROW][C]29[/C][C]-0.259762[/C][C]-2.0121[/C][C]0.024352[/C][/ROW]
[ROW][C]30[/C][C]-0.270551[/C][C]-2.0957[/C][C]0.020169[/C][/ROW]
[ROW][C]31[/C][C]-0.288251[/C][C]-2.2328[/C][C]0.014653[/C][/ROW]
[ROW][C]32[/C][C]-0.312961[/C][C]-2.4242[/C][C]0.009187[/C][/ROW]
[ROW][C]33[/C][C]-0.276861[/C][C]-2.1446[/C][C]0.018024[/C][/ROW]
[ROW][C]34[/C][C]-0.268718[/C][C]-2.0815[/C][C]0.020832[/C][/ROW]
[ROW][C]35[/C][C]-0.270256[/C][C]-2.0934[/C][C]0.020275[/C][/ROW]
[ROW][C]36[/C][C]-0.225926[/C][C]-1.75[/C][C]0.042614[/C][/ROW]
[ROW][C]37[/C][C]-0.256092[/C][C]-1.9837[/C][C]0.025936[/C][/ROW]
[ROW][C]38[/C][C]-0.22129[/C][C]-1.7141[/C][C]0.045836[/C][/ROW]
[ROW][C]39[/C][C]-0.149091[/C][C]-1.1549[/C][C]0.126364[/C][/ROW]
[ROW][C]40[/C][C]-0.12203[/C][C]-0.9452[/C][C]0.174164[/C][/ROW]
[ROW][C]41[/C][C]-0.10069[/C][C]-0.7799[/C][C]0.219246[/C][/ROW]
[ROW][C]42[/C][C]-0.094899[/C][C]-0.7351[/C][C]0.232576[/C][/ROW]
[ROW][C]43[/C][C]-0.081274[/C][C]-0.6295[/C][C]0.265692[/C][/ROW]
[ROW][C]44[/C][C]-0.060334[/C][C]-0.4673[/C][C]0.320973[/C][/ROW]
[ROW][C]45[/C][C]-0.056402[/C][C]-0.4369[/C][C]0.331879[/C][/ROW]
[ROW][C]46[/C][C]-0.00383[/C][C]-0.0297[/C][C]0.488215[/C][/ROW]
[ROW][C]47[/C][C]0.032526[/C][C]0.2519[/C][C]0.400972[/C][/ROW]
[ROW][C]48[/C][C]0.030481[/C][C]0.2361[/C][C]0.407078[/C][/ROW]
[ROW][C]49[/C][C]0.052162[/C][C]0.404[/C][C]0.343807[/C][/ROW]
[ROW][C]50[/C][C]0.067685[/C][C]0.5243[/C][C]0.301006[/C][/ROW]
[ROW][C]51[/C][C]0.06368[/C][C]0.4933[/C][C]0.311814[/C][/ROW]
[ROW][C]52[/C][C]0.05275[/C][C]0.4086[/C][C]0.342144[/C][/ROW]
[ROW][C]53[/C][C]0.049661[/C][C]0.3847[/C][C]0.350922[/C][/ROW]
[ROW][C]54[/C][C]0.045018[/C][C]0.3487[/C][C]0.364264[/C][/ROW]
[ROW][C]55[/C][C]0.027777[/C][C]0.2152[/C][C]0.415185[/C][/ROW]
[ROW][C]56[/C][C]0.01334[/C][C]0.1033[/C][C]0.459022[/C][/ROW]
[ROW][C]57[/C][C]0.006622[/C][C]0.0513[/C][C]0.47963[/C][/ROW]
[ROW][C]58[/C][C]0.003985[/C][C]0.0309[/C][C]0.487738[/C][/ROW]
[ROW][C]59[/C][C]0.001828[/C][C]0.0142[/C][C]0.494374[/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=210287&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210287&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
10.7606545.8920
20.6218924.81725e-06
30.5312984.11546e-05
40.4270883.30820.000795
50.3857622.98810.002032
60.3241682.5110.007375
70.2812962.17890.016638
80.2660212.06060.021843
90.214821.6640.050665
100.2332631.80690.0379
110.1770381.37130.08769
120.1072570.83080.204688
130.0918210.71120.239846
140.0058370.04520.482045
15-0.03549-0.27490.392168
16-0.099585-0.77140.221753
17-0.119797-0.92790.178577
18-0.125393-0.97130.167651
19-0.136884-1.06030.146629
20-0.142981-1.10750.136243
21-0.121395-0.94030.175412
22-0.171542-1.32880.094479
23-0.162767-1.26080.106133
24-0.180446-1.39770.08367
25-0.122965-0.95250.172336
26-0.146603-1.13560.130324
27-0.23914-1.85240.034447
28-0.251523-1.94830.028031
29-0.259762-2.01210.024352
30-0.270551-2.09570.020169
31-0.288251-2.23280.014653
32-0.312961-2.42420.009187
33-0.276861-2.14460.018024
34-0.268718-2.08150.020832
35-0.270256-2.09340.020275
36-0.225926-1.750.042614
37-0.256092-1.98370.025936
38-0.22129-1.71410.045836
39-0.149091-1.15490.126364
40-0.12203-0.94520.174164
41-0.10069-0.77990.219246
42-0.094899-0.73510.232576
43-0.081274-0.62950.265692
44-0.060334-0.46730.320973
45-0.056402-0.43690.331879
46-0.00383-0.02970.488215
470.0325260.25190.400972
480.0304810.23610.407078
490.0521620.4040.343807
500.0676850.52430.301006
510.063680.49330.311814
520.052750.40860.342144
530.0496610.38470.350922
540.0450180.34870.364264
550.0277770.21520.415185
560.013340.10330.459022
570.0066220.05130.47963
580.0039850.03090.487738
590.0018280.01420.494374
60NANANA







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.7606545.8920
20.1027460.79590.214624
30.0688380.53320.297927
4-0.045319-0.3510.363395
50.0908380.70360.242193
6-0.031212-0.24180.404893
70.0241460.1870.426133
80.0461050.35710.361126
9-0.050431-0.39060.348726
100.1235330.95690.171233
11-0.123856-0.95940.170607
12-0.072708-0.56320.2877
130.0256270.19850.421659
14-0.139678-1.08190.141805
15-0.015807-0.12240.45148
16-0.119315-0.92420.179539
170.0642360.49760.310304
18-0.043221-0.33480.369475
190.0266120.20610.418691
20-0.045524-0.35260.362803
210.0611740.47380.318664
22-0.119702-0.92720.178767
230.0301610.23360.408036
24-0.031807-0.24640.403118
250.1823971.41280.081435
26-0.167069-1.29410.100293
27-0.190944-1.4790.072179
28-0.002844-0.0220.491249
290.0155840.12070.45216
30-0.050082-0.38790.34972
31-0.142129-1.10090.137663
32-0.02045-0.15840.437336
330.089160.69060.24623
34-0.065232-0.50530.307606
35-0.064864-0.50240.3086
360.0317040.24560.403424
370.0040940.03170.487403
38-0.007447-0.05770.477095
390.1459311.13040.131408
400.001560.01210.495199
410.0300530.23280.408358
42-0.091741-0.71060.240035
43-0.002937-0.02280.490962
44-0.028045-0.21720.41438
450.0411130.31850.375621
46-0.03351-0.25960.398042
470.0700680.54270.294657
48-0.044076-0.34140.366994
49-0.032427-0.25120.401268
50-0.048121-0.37270.355326
51-0.068223-0.52850.299568
520.0451730.34990.363818
530.0148620.11510.454368
54-0.085061-0.65890.256247
55-0.021202-0.16420.43505
560.0119150.09230.463387
570.0037510.02910.488459
58-0.066554-0.51550.304042
59-0.054628-0.42310.336852
60NANANA

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.760654 & 5.892 & 0 \tabularnewline
2 & 0.102746 & 0.7959 & 0.214624 \tabularnewline
3 & 0.068838 & 0.5332 & 0.297927 \tabularnewline
4 & -0.045319 & -0.351 & 0.363395 \tabularnewline
5 & 0.090838 & 0.7036 & 0.242193 \tabularnewline
6 & -0.031212 & -0.2418 & 0.404893 \tabularnewline
7 & 0.024146 & 0.187 & 0.426133 \tabularnewline
8 & 0.046105 & 0.3571 & 0.361126 \tabularnewline
9 & -0.050431 & -0.3906 & 0.348726 \tabularnewline
10 & 0.123533 & 0.9569 & 0.171233 \tabularnewline
11 & -0.123856 & -0.9594 & 0.170607 \tabularnewline
12 & -0.072708 & -0.5632 & 0.2877 \tabularnewline
13 & 0.025627 & 0.1985 & 0.421659 \tabularnewline
14 & -0.139678 & -1.0819 & 0.141805 \tabularnewline
15 & -0.015807 & -0.1224 & 0.45148 \tabularnewline
16 & -0.119315 & -0.9242 & 0.179539 \tabularnewline
17 & 0.064236 & 0.4976 & 0.310304 \tabularnewline
18 & -0.043221 & -0.3348 & 0.369475 \tabularnewline
19 & 0.026612 & 0.2061 & 0.418691 \tabularnewline
20 & -0.045524 & -0.3526 & 0.362803 \tabularnewline
21 & 0.061174 & 0.4738 & 0.318664 \tabularnewline
22 & -0.119702 & -0.9272 & 0.178767 \tabularnewline
23 & 0.030161 & 0.2336 & 0.408036 \tabularnewline
24 & -0.031807 & -0.2464 & 0.403118 \tabularnewline
25 & 0.182397 & 1.4128 & 0.081435 \tabularnewline
26 & -0.167069 & -1.2941 & 0.100293 \tabularnewline
27 & -0.190944 & -1.479 & 0.072179 \tabularnewline
28 & -0.002844 & -0.022 & 0.491249 \tabularnewline
29 & 0.015584 & 0.1207 & 0.45216 \tabularnewline
30 & -0.050082 & -0.3879 & 0.34972 \tabularnewline
31 & -0.142129 & -1.1009 & 0.137663 \tabularnewline
32 & -0.02045 & -0.1584 & 0.437336 \tabularnewline
33 & 0.08916 & 0.6906 & 0.24623 \tabularnewline
34 & -0.065232 & -0.5053 & 0.307606 \tabularnewline
35 & -0.064864 & -0.5024 & 0.3086 \tabularnewline
36 & 0.031704 & 0.2456 & 0.403424 \tabularnewline
37 & 0.004094 & 0.0317 & 0.487403 \tabularnewline
38 & -0.007447 & -0.0577 & 0.477095 \tabularnewline
39 & 0.145931 & 1.1304 & 0.131408 \tabularnewline
40 & 0.00156 & 0.0121 & 0.495199 \tabularnewline
41 & 0.030053 & 0.2328 & 0.408358 \tabularnewline
42 & -0.091741 & -0.7106 & 0.240035 \tabularnewline
43 & -0.002937 & -0.0228 & 0.490962 \tabularnewline
44 & -0.028045 & -0.2172 & 0.41438 \tabularnewline
45 & 0.041113 & 0.3185 & 0.375621 \tabularnewline
46 & -0.03351 & -0.2596 & 0.398042 \tabularnewline
47 & 0.070068 & 0.5427 & 0.294657 \tabularnewline
48 & -0.044076 & -0.3414 & 0.366994 \tabularnewline
49 & -0.032427 & -0.2512 & 0.401268 \tabularnewline
50 & -0.048121 & -0.3727 & 0.355326 \tabularnewline
51 & -0.068223 & -0.5285 & 0.299568 \tabularnewline
52 & 0.045173 & 0.3499 & 0.363818 \tabularnewline
53 & 0.014862 & 0.1151 & 0.454368 \tabularnewline
54 & -0.085061 & -0.6589 & 0.256247 \tabularnewline
55 & -0.021202 & -0.1642 & 0.43505 \tabularnewline
56 & 0.011915 & 0.0923 & 0.463387 \tabularnewline
57 & 0.003751 & 0.0291 & 0.488459 \tabularnewline
58 & -0.066554 & -0.5155 & 0.304042 \tabularnewline
59 & -0.054628 & -0.4231 & 0.336852 \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=210287&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]0.760654[/C][C]5.892[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.102746[/C][C]0.7959[/C][C]0.214624[/C][/ROW]
[ROW][C]3[/C][C]0.068838[/C][C]0.5332[/C][C]0.297927[/C][/ROW]
[ROW][C]4[/C][C]-0.045319[/C][C]-0.351[/C][C]0.363395[/C][/ROW]
[ROW][C]5[/C][C]0.090838[/C][C]0.7036[/C][C]0.242193[/C][/ROW]
[ROW][C]6[/C][C]-0.031212[/C][C]-0.2418[/C][C]0.404893[/C][/ROW]
[ROW][C]7[/C][C]0.024146[/C][C]0.187[/C][C]0.426133[/C][/ROW]
[ROW][C]8[/C][C]0.046105[/C][C]0.3571[/C][C]0.361126[/C][/ROW]
[ROW][C]9[/C][C]-0.050431[/C][C]-0.3906[/C][C]0.348726[/C][/ROW]
[ROW][C]10[/C][C]0.123533[/C][C]0.9569[/C][C]0.171233[/C][/ROW]
[ROW][C]11[/C][C]-0.123856[/C][C]-0.9594[/C][C]0.170607[/C][/ROW]
[ROW][C]12[/C][C]-0.072708[/C][C]-0.5632[/C][C]0.2877[/C][/ROW]
[ROW][C]13[/C][C]0.025627[/C][C]0.1985[/C][C]0.421659[/C][/ROW]
[ROW][C]14[/C][C]-0.139678[/C][C]-1.0819[/C][C]0.141805[/C][/ROW]
[ROW][C]15[/C][C]-0.015807[/C][C]-0.1224[/C][C]0.45148[/C][/ROW]
[ROW][C]16[/C][C]-0.119315[/C][C]-0.9242[/C][C]0.179539[/C][/ROW]
[ROW][C]17[/C][C]0.064236[/C][C]0.4976[/C][C]0.310304[/C][/ROW]
[ROW][C]18[/C][C]-0.043221[/C][C]-0.3348[/C][C]0.369475[/C][/ROW]
[ROW][C]19[/C][C]0.026612[/C][C]0.2061[/C][C]0.418691[/C][/ROW]
[ROW][C]20[/C][C]-0.045524[/C][C]-0.3526[/C][C]0.362803[/C][/ROW]
[ROW][C]21[/C][C]0.061174[/C][C]0.4738[/C][C]0.318664[/C][/ROW]
[ROW][C]22[/C][C]-0.119702[/C][C]-0.9272[/C][C]0.178767[/C][/ROW]
[ROW][C]23[/C][C]0.030161[/C][C]0.2336[/C][C]0.408036[/C][/ROW]
[ROW][C]24[/C][C]-0.031807[/C][C]-0.2464[/C][C]0.403118[/C][/ROW]
[ROW][C]25[/C][C]0.182397[/C][C]1.4128[/C][C]0.081435[/C][/ROW]
[ROW][C]26[/C][C]-0.167069[/C][C]-1.2941[/C][C]0.100293[/C][/ROW]
[ROW][C]27[/C][C]-0.190944[/C][C]-1.479[/C][C]0.072179[/C][/ROW]
[ROW][C]28[/C][C]-0.002844[/C][C]-0.022[/C][C]0.491249[/C][/ROW]
[ROW][C]29[/C][C]0.015584[/C][C]0.1207[/C][C]0.45216[/C][/ROW]
[ROW][C]30[/C][C]-0.050082[/C][C]-0.3879[/C][C]0.34972[/C][/ROW]
[ROW][C]31[/C][C]-0.142129[/C][C]-1.1009[/C][C]0.137663[/C][/ROW]
[ROW][C]32[/C][C]-0.02045[/C][C]-0.1584[/C][C]0.437336[/C][/ROW]
[ROW][C]33[/C][C]0.08916[/C][C]0.6906[/C][C]0.24623[/C][/ROW]
[ROW][C]34[/C][C]-0.065232[/C][C]-0.5053[/C][C]0.307606[/C][/ROW]
[ROW][C]35[/C][C]-0.064864[/C][C]-0.5024[/C][C]0.3086[/C][/ROW]
[ROW][C]36[/C][C]0.031704[/C][C]0.2456[/C][C]0.403424[/C][/ROW]
[ROW][C]37[/C][C]0.004094[/C][C]0.0317[/C][C]0.487403[/C][/ROW]
[ROW][C]38[/C][C]-0.007447[/C][C]-0.0577[/C][C]0.477095[/C][/ROW]
[ROW][C]39[/C][C]0.145931[/C][C]1.1304[/C][C]0.131408[/C][/ROW]
[ROW][C]40[/C][C]0.00156[/C][C]0.0121[/C][C]0.495199[/C][/ROW]
[ROW][C]41[/C][C]0.030053[/C][C]0.2328[/C][C]0.408358[/C][/ROW]
[ROW][C]42[/C][C]-0.091741[/C][C]-0.7106[/C][C]0.240035[/C][/ROW]
[ROW][C]43[/C][C]-0.002937[/C][C]-0.0228[/C][C]0.490962[/C][/ROW]
[ROW][C]44[/C][C]-0.028045[/C][C]-0.2172[/C][C]0.41438[/C][/ROW]
[ROW][C]45[/C][C]0.041113[/C][C]0.3185[/C][C]0.375621[/C][/ROW]
[ROW][C]46[/C][C]-0.03351[/C][C]-0.2596[/C][C]0.398042[/C][/ROW]
[ROW][C]47[/C][C]0.070068[/C][C]0.5427[/C][C]0.294657[/C][/ROW]
[ROW][C]48[/C][C]-0.044076[/C][C]-0.3414[/C][C]0.366994[/C][/ROW]
[ROW][C]49[/C][C]-0.032427[/C][C]-0.2512[/C][C]0.401268[/C][/ROW]
[ROW][C]50[/C][C]-0.048121[/C][C]-0.3727[/C][C]0.355326[/C][/ROW]
[ROW][C]51[/C][C]-0.068223[/C][C]-0.5285[/C][C]0.299568[/C][/ROW]
[ROW][C]52[/C][C]0.045173[/C][C]0.3499[/C][C]0.363818[/C][/ROW]
[ROW][C]53[/C][C]0.014862[/C][C]0.1151[/C][C]0.454368[/C][/ROW]
[ROW][C]54[/C][C]-0.085061[/C][C]-0.6589[/C][C]0.256247[/C][/ROW]
[ROW][C]55[/C][C]-0.021202[/C][C]-0.1642[/C][C]0.43505[/C][/ROW]
[ROW][C]56[/C][C]0.011915[/C][C]0.0923[/C][C]0.463387[/C][/ROW]
[ROW][C]57[/C][C]0.003751[/C][C]0.0291[/C][C]0.488459[/C][/ROW]
[ROW][C]58[/C][C]-0.066554[/C][C]-0.5155[/C][C]0.304042[/C][/ROW]
[ROW][C]59[/C][C]-0.054628[/C][C]-0.4231[/C][C]0.336852[/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=210287&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=210287&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
10.7606545.8920
20.1027460.79590.214624
30.0688380.53320.297927
4-0.045319-0.3510.363395
50.0908380.70360.242193
6-0.031212-0.24180.404893
70.0241460.1870.426133
80.0461050.35710.361126
9-0.050431-0.39060.348726
100.1235330.95690.171233
11-0.123856-0.95940.170607
12-0.072708-0.56320.2877
130.0256270.19850.421659
14-0.139678-1.08190.141805
15-0.015807-0.12240.45148
16-0.119315-0.92420.179539
170.0642360.49760.310304
18-0.043221-0.33480.369475
190.0266120.20610.418691
20-0.045524-0.35260.362803
210.0611740.47380.318664
22-0.119702-0.92720.178767
230.0301610.23360.408036
24-0.031807-0.24640.403118
250.1823971.41280.081435
26-0.167069-1.29410.100293
27-0.190944-1.4790.072179
28-0.002844-0.0220.491249
290.0155840.12070.45216
30-0.050082-0.38790.34972
31-0.142129-1.10090.137663
32-0.02045-0.15840.437336
330.089160.69060.24623
34-0.065232-0.50530.307606
35-0.064864-0.50240.3086
360.0317040.24560.403424
370.0040940.03170.487403
38-0.007447-0.05770.477095
390.1459311.13040.131408
400.001560.01210.495199
410.0300530.23280.408358
42-0.091741-0.71060.240035
43-0.002937-0.02280.490962
44-0.028045-0.21720.41438
450.0411130.31850.375621
46-0.03351-0.25960.398042
470.0700680.54270.294657
48-0.044076-0.34140.366994
49-0.032427-0.25120.401268
50-0.048121-0.37270.355326
51-0.068223-0.52850.299568
520.0451730.34990.363818
530.0148620.11510.454368
54-0.085061-0.65890.256247
55-0.021202-0.16420.43505
560.0119150.09230.463387
570.0037510.02910.488459
58-0.066554-0.51550.304042
59-0.054628-0.42310.336852
60NANANA



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