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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationMon, 07 Dec 2015 12:30:05 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2015/Dec/07/t1449491783ovf98o9gxzrjhyg.htm/, Retrieved Fri, 17 May 2024 00:10:45 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=285360, Retrieved Fri, 17 May 2024 00:10:45 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact116
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [Sterftes vrouwen] [2015-12-07 12:30:05] [f5873c2f4f82c50a280588900254fbac] [Current]
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Dataseries X:
166.06
154.50
146.87
145.10
143.32
137.03
132.42
130.71
128.60
130.39
138.43
154.74
184.35
163.39
149.06
147.10
138.06
134.13
139.87
133.68
125.47
137.03
140.50
157.13
159.55
160.36
156.48
153.03
138.03
139.70
138.23
145.68
139.90
142.06
145.77
171.19
171.61
150.21
144.65
140.33
129.61
130.40
128.13
125.35
129.73
136.84
137.80
153.00
165.03
172.25
177.06
142.10
136.16
135.87
119.84
119.84
126.13
133.58
132.27
153.77
161.90
155.11
156.55
138.47
130.16
133.20
152.71
121.87
129.57
127.52
132.90
143.10
154.94
166.86
147.10
142.97
127.77
131.43
126.84
123.10
127.80
133.23
148.90
143.45




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 2 seconds \tabularnewline
R Server & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285360&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285360&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285360&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 time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.341752.89980.002474
20.087310.74080.230598
30.0062340.05290.47898
4-0.031118-0.2640.39625
5-0.166125-1.40960.081479
6-0.106076-0.90010.185538
7-0.036343-0.30840.379343
8-0.164949-1.39960.082957
9-0.036292-0.30790.379506
10-0.153748-1.30460.098093
11-0.350669-2.97550.00199
12-0.501285-4.25353.1e-05
13-0.022269-0.1890.425328
140.1883491.59820.05719
150.1624071.37810.086225
160.3146782.67010.004683
170.3088792.62090.005346
180.183491.5570.061932
190.0586450.49760.310135
200.0200630.17020.432649
212.5e-052e-040.499916
220.0090590.07690.469471
230.1352141.14730.127523
240.0627390.53240.298059
25-0.195969-1.66290.050344
26-0.244672-2.07610.020728
27-0.134194-1.13870.129307
28-0.215261-1.82650.035957
29-0.180178-1.52890.06534
30-0.005325-0.04520.482042
310.1170970.99360.161872
320.1174950.9970.161056
330.0263990.2240.411696
340.0199490.16930.433028
35-0.011011-0.09340.462911
36-0.027759-0.23550.407228
370.1572451.33430.093161
380.1069570.90760.183568
390.0077840.06610.47376
400.0291390.24720.402709
410.003030.02570.489778
42-0.187997-1.59520.057523
43-0.127709-1.08360.141068
44-0.062089-0.52680.299962
45-0.009692-0.08220.467341
46-0.023498-0.19940.421261
470.0367820.31210.377931
480.0241310.20480.419168
49-0.092731-0.78680.216977
50-0.014459-0.12270.451349
51-0.022314-0.18930.425178
52-0.008807-0.07470.470319
530.0366770.31120.378269
540.155151.31650.096092
550.0245640.20840.417741
560.0037980.03220.487189
57-0.057474-0.48770.313627
58-0.040968-0.34760.364569
59-0.037555-0.31870.375453
60-0.012583-0.10680.457633

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.34175 & 2.8998 & 0.002474 \tabularnewline
2 & 0.08731 & 0.7408 & 0.230598 \tabularnewline
3 & 0.006234 & 0.0529 & 0.47898 \tabularnewline
4 & -0.031118 & -0.264 & 0.39625 \tabularnewline
5 & -0.166125 & -1.4096 & 0.081479 \tabularnewline
6 & -0.106076 & -0.9001 & 0.185538 \tabularnewline
7 & -0.036343 & -0.3084 & 0.379343 \tabularnewline
8 & -0.164949 & -1.3996 & 0.082957 \tabularnewline
9 & -0.036292 & -0.3079 & 0.379506 \tabularnewline
10 & -0.153748 & -1.3046 & 0.098093 \tabularnewline
11 & -0.350669 & -2.9755 & 0.00199 \tabularnewline
12 & -0.501285 & -4.2535 & 3.1e-05 \tabularnewline
13 & -0.022269 & -0.189 & 0.425328 \tabularnewline
14 & 0.188349 & 1.5982 & 0.05719 \tabularnewline
15 & 0.162407 & 1.3781 & 0.086225 \tabularnewline
16 & 0.314678 & 2.6701 & 0.004683 \tabularnewline
17 & 0.308879 & 2.6209 & 0.005346 \tabularnewline
18 & 0.18349 & 1.557 & 0.061932 \tabularnewline
19 & 0.058645 & 0.4976 & 0.310135 \tabularnewline
20 & 0.020063 & 0.1702 & 0.432649 \tabularnewline
21 & 2.5e-05 & 2e-04 & 0.499916 \tabularnewline
22 & 0.009059 & 0.0769 & 0.469471 \tabularnewline
23 & 0.135214 & 1.1473 & 0.127523 \tabularnewline
24 & 0.062739 & 0.5324 & 0.298059 \tabularnewline
25 & -0.195969 & -1.6629 & 0.050344 \tabularnewline
26 & -0.244672 & -2.0761 & 0.020728 \tabularnewline
27 & -0.134194 & -1.1387 & 0.129307 \tabularnewline
28 & -0.215261 & -1.8265 & 0.035957 \tabularnewline
29 & -0.180178 & -1.5289 & 0.06534 \tabularnewline
30 & -0.005325 & -0.0452 & 0.482042 \tabularnewline
31 & 0.117097 & 0.9936 & 0.161872 \tabularnewline
32 & 0.117495 & 0.997 & 0.161056 \tabularnewline
33 & 0.026399 & 0.224 & 0.411696 \tabularnewline
34 & 0.019949 & 0.1693 & 0.433028 \tabularnewline
35 & -0.011011 & -0.0934 & 0.462911 \tabularnewline
36 & -0.027759 & -0.2355 & 0.407228 \tabularnewline
37 & 0.157245 & 1.3343 & 0.093161 \tabularnewline
38 & 0.106957 & 0.9076 & 0.183568 \tabularnewline
39 & 0.007784 & 0.0661 & 0.47376 \tabularnewline
40 & 0.029139 & 0.2472 & 0.402709 \tabularnewline
41 & 0.00303 & 0.0257 & 0.489778 \tabularnewline
42 & -0.187997 & -1.5952 & 0.057523 \tabularnewline
43 & -0.127709 & -1.0836 & 0.141068 \tabularnewline
44 & -0.062089 & -0.5268 & 0.299962 \tabularnewline
45 & -0.009692 & -0.0822 & 0.467341 \tabularnewline
46 & -0.023498 & -0.1994 & 0.421261 \tabularnewline
47 & 0.036782 & 0.3121 & 0.377931 \tabularnewline
48 & 0.024131 & 0.2048 & 0.419168 \tabularnewline
49 & -0.092731 & -0.7868 & 0.216977 \tabularnewline
50 & -0.014459 & -0.1227 & 0.451349 \tabularnewline
51 & -0.022314 & -0.1893 & 0.425178 \tabularnewline
52 & -0.008807 & -0.0747 & 0.470319 \tabularnewline
53 & 0.036677 & 0.3112 & 0.378269 \tabularnewline
54 & 0.15515 & 1.3165 & 0.096092 \tabularnewline
55 & 0.024564 & 0.2084 & 0.417741 \tabularnewline
56 & 0.003798 & 0.0322 & 0.487189 \tabularnewline
57 & -0.057474 & -0.4877 & 0.313627 \tabularnewline
58 & -0.040968 & -0.3476 & 0.364569 \tabularnewline
59 & -0.037555 & -0.3187 & 0.375453 \tabularnewline
60 & -0.012583 & -0.1068 & 0.457633 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285360&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]0.34175[/C][C]2.8998[/C][C]0.002474[/C][/ROW]
[ROW][C]2[/C][C]0.08731[/C][C]0.7408[/C][C]0.230598[/C][/ROW]
[ROW][C]3[/C][C]0.006234[/C][C]0.0529[/C][C]0.47898[/C][/ROW]
[ROW][C]4[/C][C]-0.031118[/C][C]-0.264[/C][C]0.39625[/C][/ROW]
[ROW][C]5[/C][C]-0.166125[/C][C]-1.4096[/C][C]0.081479[/C][/ROW]
[ROW][C]6[/C][C]-0.106076[/C][C]-0.9001[/C][C]0.185538[/C][/ROW]
[ROW][C]7[/C][C]-0.036343[/C][C]-0.3084[/C][C]0.379343[/C][/ROW]
[ROW][C]8[/C][C]-0.164949[/C][C]-1.3996[/C][C]0.082957[/C][/ROW]
[ROW][C]9[/C][C]-0.036292[/C][C]-0.3079[/C][C]0.379506[/C][/ROW]
[ROW][C]10[/C][C]-0.153748[/C][C]-1.3046[/C][C]0.098093[/C][/ROW]
[ROW][C]11[/C][C]-0.350669[/C][C]-2.9755[/C][C]0.00199[/C][/ROW]
[ROW][C]12[/C][C]-0.501285[/C][C]-4.2535[/C][C]3.1e-05[/C][/ROW]
[ROW][C]13[/C][C]-0.022269[/C][C]-0.189[/C][C]0.425328[/C][/ROW]
[ROW][C]14[/C][C]0.188349[/C][C]1.5982[/C][C]0.05719[/C][/ROW]
[ROW][C]15[/C][C]0.162407[/C][C]1.3781[/C][C]0.086225[/C][/ROW]
[ROW][C]16[/C][C]0.314678[/C][C]2.6701[/C][C]0.004683[/C][/ROW]
[ROW][C]17[/C][C]0.308879[/C][C]2.6209[/C][C]0.005346[/C][/ROW]
[ROW][C]18[/C][C]0.18349[/C][C]1.557[/C][C]0.061932[/C][/ROW]
[ROW][C]19[/C][C]0.058645[/C][C]0.4976[/C][C]0.310135[/C][/ROW]
[ROW][C]20[/C][C]0.020063[/C][C]0.1702[/C][C]0.432649[/C][/ROW]
[ROW][C]21[/C][C]2.5e-05[/C][C]2e-04[/C][C]0.499916[/C][/ROW]
[ROW][C]22[/C][C]0.009059[/C][C]0.0769[/C][C]0.469471[/C][/ROW]
[ROW][C]23[/C][C]0.135214[/C][C]1.1473[/C][C]0.127523[/C][/ROW]
[ROW][C]24[/C][C]0.062739[/C][C]0.5324[/C][C]0.298059[/C][/ROW]
[ROW][C]25[/C][C]-0.195969[/C][C]-1.6629[/C][C]0.050344[/C][/ROW]
[ROW][C]26[/C][C]-0.244672[/C][C]-2.0761[/C][C]0.020728[/C][/ROW]
[ROW][C]27[/C][C]-0.134194[/C][C]-1.1387[/C][C]0.129307[/C][/ROW]
[ROW][C]28[/C][C]-0.215261[/C][C]-1.8265[/C][C]0.035957[/C][/ROW]
[ROW][C]29[/C][C]-0.180178[/C][C]-1.5289[/C][C]0.06534[/C][/ROW]
[ROW][C]30[/C][C]-0.005325[/C][C]-0.0452[/C][C]0.482042[/C][/ROW]
[ROW][C]31[/C][C]0.117097[/C][C]0.9936[/C][C]0.161872[/C][/ROW]
[ROW][C]32[/C][C]0.117495[/C][C]0.997[/C][C]0.161056[/C][/ROW]
[ROW][C]33[/C][C]0.026399[/C][C]0.224[/C][C]0.411696[/C][/ROW]
[ROW][C]34[/C][C]0.019949[/C][C]0.1693[/C][C]0.433028[/C][/ROW]
[ROW][C]35[/C][C]-0.011011[/C][C]-0.0934[/C][C]0.462911[/C][/ROW]
[ROW][C]36[/C][C]-0.027759[/C][C]-0.2355[/C][C]0.407228[/C][/ROW]
[ROW][C]37[/C][C]0.157245[/C][C]1.3343[/C][C]0.093161[/C][/ROW]
[ROW][C]38[/C][C]0.106957[/C][C]0.9076[/C][C]0.183568[/C][/ROW]
[ROW][C]39[/C][C]0.007784[/C][C]0.0661[/C][C]0.47376[/C][/ROW]
[ROW][C]40[/C][C]0.029139[/C][C]0.2472[/C][C]0.402709[/C][/ROW]
[ROW][C]41[/C][C]0.00303[/C][C]0.0257[/C][C]0.489778[/C][/ROW]
[ROW][C]42[/C][C]-0.187997[/C][C]-1.5952[/C][C]0.057523[/C][/ROW]
[ROW][C]43[/C][C]-0.127709[/C][C]-1.0836[/C][C]0.141068[/C][/ROW]
[ROW][C]44[/C][C]-0.062089[/C][C]-0.5268[/C][C]0.299962[/C][/ROW]
[ROW][C]45[/C][C]-0.009692[/C][C]-0.0822[/C][C]0.467341[/C][/ROW]
[ROW][C]46[/C][C]-0.023498[/C][C]-0.1994[/C][C]0.421261[/C][/ROW]
[ROW][C]47[/C][C]0.036782[/C][C]0.3121[/C][C]0.377931[/C][/ROW]
[ROW][C]48[/C][C]0.024131[/C][C]0.2048[/C][C]0.419168[/C][/ROW]
[ROW][C]49[/C][C]-0.092731[/C][C]-0.7868[/C][C]0.216977[/C][/ROW]
[ROW][C]50[/C][C]-0.014459[/C][C]-0.1227[/C][C]0.451349[/C][/ROW]
[ROW][C]51[/C][C]-0.022314[/C][C]-0.1893[/C][C]0.425178[/C][/ROW]
[ROW][C]52[/C][C]-0.008807[/C][C]-0.0747[/C][C]0.470319[/C][/ROW]
[ROW][C]53[/C][C]0.036677[/C][C]0.3112[/C][C]0.378269[/C][/ROW]
[ROW][C]54[/C][C]0.15515[/C][C]1.3165[/C][C]0.096092[/C][/ROW]
[ROW][C]55[/C][C]0.024564[/C][C]0.2084[/C][C]0.417741[/C][/ROW]
[ROW][C]56[/C][C]0.003798[/C][C]0.0322[/C][C]0.487189[/C][/ROW]
[ROW][C]57[/C][C]-0.057474[/C][C]-0.4877[/C][C]0.313627[/C][/ROW]
[ROW][C]58[/C][C]-0.040968[/C][C]-0.3476[/C][C]0.364569[/C][/ROW]
[ROW][C]59[/C][C]-0.037555[/C][C]-0.3187[/C][C]0.375453[/C][/ROW]
[ROW][C]60[/C][C]-0.012583[/C][C]-0.1068[/C][C]0.457633[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285360&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285360&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
10.341752.89980.002474
20.087310.74080.230598
30.0062340.05290.47898
4-0.031118-0.2640.39625
5-0.166125-1.40960.081479
6-0.106076-0.90010.185538
7-0.036343-0.30840.379343
8-0.164949-1.39960.082957
9-0.036292-0.30790.379506
10-0.153748-1.30460.098093
11-0.350669-2.97550.00199
12-0.501285-4.25353.1e-05
13-0.022269-0.1890.425328
140.1883491.59820.05719
150.1624071.37810.086225
160.3146782.67010.004683
170.3088792.62090.005346
180.183491.5570.061932
190.0586450.49760.310135
200.0200630.17020.432649
212.5e-052e-040.499916
220.0090590.07690.469471
230.1352141.14730.127523
240.0627390.53240.298059
25-0.195969-1.66290.050344
26-0.244672-2.07610.020728
27-0.134194-1.13870.129307
28-0.215261-1.82650.035957
29-0.180178-1.52890.06534
30-0.005325-0.04520.482042
310.1170970.99360.161872
320.1174950.9970.161056
330.0263990.2240.411696
340.0199490.16930.433028
35-0.011011-0.09340.462911
36-0.027759-0.23550.407228
370.1572451.33430.093161
380.1069570.90760.183568
390.0077840.06610.47376
400.0291390.24720.402709
410.003030.02570.489778
42-0.187997-1.59520.057523
43-0.127709-1.08360.141068
44-0.062089-0.52680.299962
45-0.009692-0.08220.467341
46-0.023498-0.19940.421261
470.0367820.31210.377931
480.0241310.20480.419168
49-0.092731-0.78680.216977
50-0.014459-0.12270.451349
51-0.022314-0.18930.425178
52-0.008807-0.07470.470319
530.0366770.31120.378269
540.155151.31650.096092
550.0245640.20840.417741
560.0037980.03220.487189
57-0.057474-0.48770.313627
58-0.040968-0.34760.364569
59-0.037555-0.31870.375453
60-0.012583-0.10680.457633







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.341752.89980.002474
2-0.033382-0.28330.388897
3-0.014953-0.12690.449695
4-0.029198-0.24770.402517
5-0.16408-1.39230.084064
60.0050770.04310.482879
70.0092340.07840.468882
8-0.184597-1.56640.060825
90.0885070.7510.227549
10-0.2222-1.88540.031704
11-0.32259-2.73730.0039
12-0.394386-3.34650.000652
130.2251941.91080.030004
140.2056161.74470.042651
150.0157830.13390.446918
160.188281.59760.057255
170.0696220.59080.278265
180.0099360.08430.466522
19-0.011444-0.09710.461457
20-0.129673-1.10030.137431
210.1745791.48140.071438
22-0.094903-0.80530.211654
23-0.062173-0.52760.299715
24-0.02214-0.18790.425756
25-0.059522-0.50510.30753
260.0889980.75520.226305
270.1201881.01980.155611
280.0652740.55390.290692
290.0420880.35710.361021
30-0.099864-0.84740.199798
310.0485320.41180.340852
32-0.092696-0.78660.217063
33-0.158511-1.3450.091421
34-0.043712-0.37090.355898
35-0.003259-0.02770.489007
36-0.151669-1.2870.101116
370.0544260.46180.322801
380.0220090.18680.426189
390.0619770.52590.30029
40-0.04838-0.41050.341322
41-0.024413-0.20710.418239
42-0.105319-0.89370.187241
430.1329121.12780.131575
44-0.121567-1.03150.152873
45-0.05164-0.43820.331284
46-0.094413-0.80110.212848
470.0108930.09240.463306
48-0.092283-0.7830.218084
490.0699010.59310.277478
500.0409750.34770.364545
51-0.033763-0.28650.387664
52-0.010255-0.0870.465451
53-0.004159-0.03530.485972
54-0.032521-0.27590.391689
550.0558920.47430.318375
560.0052890.04490.482163
57-0.060768-0.51560.303844
58-0.069009-0.58560.280001
590.005780.0490.480511
600.0220640.18720.426006

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.34175 & 2.8998 & 0.002474 \tabularnewline
2 & -0.033382 & -0.2833 & 0.388897 \tabularnewline
3 & -0.014953 & -0.1269 & 0.449695 \tabularnewline
4 & -0.029198 & -0.2477 & 0.402517 \tabularnewline
5 & -0.16408 & -1.3923 & 0.084064 \tabularnewline
6 & 0.005077 & 0.0431 & 0.482879 \tabularnewline
7 & 0.009234 & 0.0784 & 0.468882 \tabularnewline
8 & -0.184597 & -1.5664 & 0.060825 \tabularnewline
9 & 0.088507 & 0.751 & 0.227549 \tabularnewline
10 & -0.2222 & -1.8854 & 0.031704 \tabularnewline
11 & -0.32259 & -2.7373 & 0.0039 \tabularnewline
12 & -0.394386 & -3.3465 & 0.000652 \tabularnewline
13 & 0.225194 & 1.9108 & 0.030004 \tabularnewline
14 & 0.205616 & 1.7447 & 0.042651 \tabularnewline
15 & 0.015783 & 0.1339 & 0.446918 \tabularnewline
16 & 0.18828 & 1.5976 & 0.057255 \tabularnewline
17 & 0.069622 & 0.5908 & 0.278265 \tabularnewline
18 & 0.009936 & 0.0843 & 0.466522 \tabularnewline
19 & -0.011444 & -0.0971 & 0.461457 \tabularnewline
20 & -0.129673 & -1.1003 & 0.137431 \tabularnewline
21 & 0.174579 & 1.4814 & 0.071438 \tabularnewline
22 & -0.094903 & -0.8053 & 0.211654 \tabularnewline
23 & -0.062173 & -0.5276 & 0.299715 \tabularnewline
24 & -0.02214 & -0.1879 & 0.425756 \tabularnewline
25 & -0.059522 & -0.5051 & 0.30753 \tabularnewline
26 & 0.088998 & 0.7552 & 0.226305 \tabularnewline
27 & 0.120188 & 1.0198 & 0.155611 \tabularnewline
28 & 0.065274 & 0.5539 & 0.290692 \tabularnewline
29 & 0.042088 & 0.3571 & 0.361021 \tabularnewline
30 & -0.099864 & -0.8474 & 0.199798 \tabularnewline
31 & 0.048532 & 0.4118 & 0.340852 \tabularnewline
32 & -0.092696 & -0.7866 & 0.217063 \tabularnewline
33 & -0.158511 & -1.345 & 0.091421 \tabularnewline
34 & -0.043712 & -0.3709 & 0.355898 \tabularnewline
35 & -0.003259 & -0.0277 & 0.489007 \tabularnewline
36 & -0.151669 & -1.287 & 0.101116 \tabularnewline
37 & 0.054426 & 0.4618 & 0.322801 \tabularnewline
38 & 0.022009 & 0.1868 & 0.426189 \tabularnewline
39 & 0.061977 & 0.5259 & 0.30029 \tabularnewline
40 & -0.04838 & -0.4105 & 0.341322 \tabularnewline
41 & -0.024413 & -0.2071 & 0.418239 \tabularnewline
42 & -0.105319 & -0.8937 & 0.187241 \tabularnewline
43 & 0.132912 & 1.1278 & 0.131575 \tabularnewline
44 & -0.121567 & -1.0315 & 0.152873 \tabularnewline
45 & -0.05164 & -0.4382 & 0.331284 \tabularnewline
46 & -0.094413 & -0.8011 & 0.212848 \tabularnewline
47 & 0.010893 & 0.0924 & 0.463306 \tabularnewline
48 & -0.092283 & -0.783 & 0.218084 \tabularnewline
49 & 0.069901 & 0.5931 & 0.277478 \tabularnewline
50 & 0.040975 & 0.3477 & 0.364545 \tabularnewline
51 & -0.033763 & -0.2865 & 0.387664 \tabularnewline
52 & -0.010255 & -0.087 & 0.465451 \tabularnewline
53 & -0.004159 & -0.0353 & 0.485972 \tabularnewline
54 & -0.032521 & -0.2759 & 0.391689 \tabularnewline
55 & 0.055892 & 0.4743 & 0.318375 \tabularnewline
56 & 0.005289 & 0.0449 & 0.482163 \tabularnewline
57 & -0.060768 & -0.5156 & 0.303844 \tabularnewline
58 & -0.069009 & -0.5856 & 0.280001 \tabularnewline
59 & 0.00578 & 0.049 & 0.480511 \tabularnewline
60 & 0.022064 & 0.1872 & 0.426006 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=285360&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]0.34175[/C][C]2.8998[/C][C]0.002474[/C][/ROW]
[ROW][C]2[/C][C]-0.033382[/C][C]-0.2833[/C][C]0.388897[/C][/ROW]
[ROW][C]3[/C][C]-0.014953[/C][C]-0.1269[/C][C]0.449695[/C][/ROW]
[ROW][C]4[/C][C]-0.029198[/C][C]-0.2477[/C][C]0.402517[/C][/ROW]
[ROW][C]5[/C][C]-0.16408[/C][C]-1.3923[/C][C]0.084064[/C][/ROW]
[ROW][C]6[/C][C]0.005077[/C][C]0.0431[/C][C]0.482879[/C][/ROW]
[ROW][C]7[/C][C]0.009234[/C][C]0.0784[/C][C]0.468882[/C][/ROW]
[ROW][C]8[/C][C]-0.184597[/C][C]-1.5664[/C][C]0.060825[/C][/ROW]
[ROW][C]9[/C][C]0.088507[/C][C]0.751[/C][C]0.227549[/C][/ROW]
[ROW][C]10[/C][C]-0.2222[/C][C]-1.8854[/C][C]0.031704[/C][/ROW]
[ROW][C]11[/C][C]-0.32259[/C][C]-2.7373[/C][C]0.0039[/C][/ROW]
[ROW][C]12[/C][C]-0.394386[/C][C]-3.3465[/C][C]0.000652[/C][/ROW]
[ROW][C]13[/C][C]0.225194[/C][C]1.9108[/C][C]0.030004[/C][/ROW]
[ROW][C]14[/C][C]0.205616[/C][C]1.7447[/C][C]0.042651[/C][/ROW]
[ROW][C]15[/C][C]0.015783[/C][C]0.1339[/C][C]0.446918[/C][/ROW]
[ROW][C]16[/C][C]0.18828[/C][C]1.5976[/C][C]0.057255[/C][/ROW]
[ROW][C]17[/C][C]0.069622[/C][C]0.5908[/C][C]0.278265[/C][/ROW]
[ROW][C]18[/C][C]0.009936[/C][C]0.0843[/C][C]0.466522[/C][/ROW]
[ROW][C]19[/C][C]-0.011444[/C][C]-0.0971[/C][C]0.461457[/C][/ROW]
[ROW][C]20[/C][C]-0.129673[/C][C]-1.1003[/C][C]0.137431[/C][/ROW]
[ROW][C]21[/C][C]0.174579[/C][C]1.4814[/C][C]0.071438[/C][/ROW]
[ROW][C]22[/C][C]-0.094903[/C][C]-0.8053[/C][C]0.211654[/C][/ROW]
[ROW][C]23[/C][C]-0.062173[/C][C]-0.5276[/C][C]0.299715[/C][/ROW]
[ROW][C]24[/C][C]-0.02214[/C][C]-0.1879[/C][C]0.425756[/C][/ROW]
[ROW][C]25[/C][C]-0.059522[/C][C]-0.5051[/C][C]0.30753[/C][/ROW]
[ROW][C]26[/C][C]0.088998[/C][C]0.7552[/C][C]0.226305[/C][/ROW]
[ROW][C]27[/C][C]0.120188[/C][C]1.0198[/C][C]0.155611[/C][/ROW]
[ROW][C]28[/C][C]0.065274[/C][C]0.5539[/C][C]0.290692[/C][/ROW]
[ROW][C]29[/C][C]0.042088[/C][C]0.3571[/C][C]0.361021[/C][/ROW]
[ROW][C]30[/C][C]-0.099864[/C][C]-0.8474[/C][C]0.199798[/C][/ROW]
[ROW][C]31[/C][C]0.048532[/C][C]0.4118[/C][C]0.340852[/C][/ROW]
[ROW][C]32[/C][C]-0.092696[/C][C]-0.7866[/C][C]0.217063[/C][/ROW]
[ROW][C]33[/C][C]-0.158511[/C][C]-1.345[/C][C]0.091421[/C][/ROW]
[ROW][C]34[/C][C]-0.043712[/C][C]-0.3709[/C][C]0.355898[/C][/ROW]
[ROW][C]35[/C][C]-0.003259[/C][C]-0.0277[/C][C]0.489007[/C][/ROW]
[ROW][C]36[/C][C]-0.151669[/C][C]-1.287[/C][C]0.101116[/C][/ROW]
[ROW][C]37[/C][C]0.054426[/C][C]0.4618[/C][C]0.322801[/C][/ROW]
[ROW][C]38[/C][C]0.022009[/C][C]0.1868[/C][C]0.426189[/C][/ROW]
[ROW][C]39[/C][C]0.061977[/C][C]0.5259[/C][C]0.30029[/C][/ROW]
[ROW][C]40[/C][C]-0.04838[/C][C]-0.4105[/C][C]0.341322[/C][/ROW]
[ROW][C]41[/C][C]-0.024413[/C][C]-0.2071[/C][C]0.418239[/C][/ROW]
[ROW][C]42[/C][C]-0.105319[/C][C]-0.8937[/C][C]0.187241[/C][/ROW]
[ROW][C]43[/C][C]0.132912[/C][C]1.1278[/C][C]0.131575[/C][/ROW]
[ROW][C]44[/C][C]-0.121567[/C][C]-1.0315[/C][C]0.152873[/C][/ROW]
[ROW][C]45[/C][C]-0.05164[/C][C]-0.4382[/C][C]0.331284[/C][/ROW]
[ROW][C]46[/C][C]-0.094413[/C][C]-0.8011[/C][C]0.212848[/C][/ROW]
[ROW][C]47[/C][C]0.010893[/C][C]0.0924[/C][C]0.463306[/C][/ROW]
[ROW][C]48[/C][C]-0.092283[/C][C]-0.783[/C][C]0.218084[/C][/ROW]
[ROW][C]49[/C][C]0.069901[/C][C]0.5931[/C][C]0.277478[/C][/ROW]
[ROW][C]50[/C][C]0.040975[/C][C]0.3477[/C][C]0.364545[/C][/ROW]
[ROW][C]51[/C][C]-0.033763[/C][C]-0.2865[/C][C]0.387664[/C][/ROW]
[ROW][C]52[/C][C]-0.010255[/C][C]-0.087[/C][C]0.465451[/C][/ROW]
[ROW][C]53[/C][C]-0.004159[/C][C]-0.0353[/C][C]0.485972[/C][/ROW]
[ROW][C]54[/C][C]-0.032521[/C][C]-0.2759[/C][C]0.391689[/C][/ROW]
[ROW][C]55[/C][C]0.055892[/C][C]0.4743[/C][C]0.318375[/C][/ROW]
[ROW][C]56[/C][C]0.005289[/C][C]0.0449[/C][C]0.482163[/C][/ROW]
[ROW][C]57[/C][C]-0.060768[/C][C]-0.5156[/C][C]0.303844[/C][/ROW]
[ROW][C]58[/C][C]-0.069009[/C][C]-0.5856[/C][C]0.280001[/C][/ROW]
[ROW][C]59[/C][C]0.00578[/C][C]0.049[/C][C]0.480511[/C][/ROW]
[ROW][C]60[/C][C]0.022064[/C][C]0.1872[/C][C]0.426006[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=285360&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=285360&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
10.341752.89980.002474
2-0.033382-0.28330.388897
3-0.014953-0.12690.449695
4-0.029198-0.24770.402517
5-0.16408-1.39230.084064
60.0050770.04310.482879
70.0092340.07840.468882
8-0.184597-1.56640.060825
90.0885070.7510.227549
10-0.2222-1.88540.031704
11-0.32259-2.73730.0039
12-0.394386-3.34650.000652
130.2251941.91080.030004
140.2056161.74470.042651
150.0157830.13390.446918
160.188281.59760.057255
170.0696220.59080.278265
180.0099360.08430.466522
19-0.011444-0.09710.461457
20-0.129673-1.10030.137431
210.1745791.48140.071438
22-0.094903-0.80530.211654
23-0.062173-0.52760.299715
24-0.02214-0.18790.425756
25-0.059522-0.50510.30753
260.0889980.75520.226305
270.1201881.01980.155611
280.0652740.55390.290692
290.0420880.35710.361021
30-0.099864-0.84740.199798
310.0485320.41180.340852
32-0.092696-0.78660.217063
33-0.158511-1.3450.091421
34-0.043712-0.37090.355898
35-0.003259-0.02770.489007
36-0.151669-1.2870.101116
370.0544260.46180.322801
380.0220090.18680.426189
390.0619770.52590.30029
40-0.04838-0.41050.341322
41-0.024413-0.20710.418239
42-0.105319-0.89370.187241
430.1329121.12780.131575
44-0.121567-1.03150.152873
45-0.05164-0.43820.331284
46-0.094413-0.80110.212848
470.0108930.09240.463306
48-0.092283-0.7830.218084
490.0699010.59310.277478
500.0409750.34770.364545
51-0.033763-0.28650.387664
52-0.010255-0.0870.465451
53-0.004159-0.03530.485972
54-0.032521-0.27590.391689
550.0558920.47430.318375
560.0052890.04490.482163
57-0.060768-0.51560.303844
58-0.069009-0.58560.280001
590.005780.0490.480511
600.0220640.18720.426006



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)
x <- na.omit(x)
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')