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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 computationWed, 22 Dec 2010 14:24:35 +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/2010/Dec/22/t1293027753e5r1esg1u9d1e7t.htm/, Retrieved Sun, 05 May 2024 23:45:46 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114244, Retrieved Sun, 05 May 2024 23:45:46 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact131
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [Univariate Data Series] [Identifying Integ...] [2009-11-22 12:08:06] [b98453cac15ba1066b407e146608df68]
- RMPD          [(Partial) Autocorrelation Function] [] [2010-12-22 14:24:35] [5a59313293e5c9f616ad36f6edd018c5] [Current]
Feedback Forum

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Dataseries X:
9.769
9.321
9.939
9.336
10.195
9.464
10.010
10.213
9.563
9.890
9.305
9.391
9.928
8.686
9.843
9.627
10.074
9.503
10.119
10.000
9.313
9.866
9.172
9.241
9.659
8.904
9.755
9.080
9.435
8.971
10.063
9.793
9.454
9.759
8.820
9.403
9.676
8.642
9.402
9.610
9.294
9.448
10.319
9.548
9.801
9.596
8.923
9.746
9.829
9.125
9.782
9.441
9.162
9.915
10.444
10.209
9.985
9.842
9.429
10.132
9.849
9.172
10.313
9.819
9.955
10.048
10.082
10.541
10.208
10.233
9.439
9.963
10.158
9.225
10.474
9.757
10.490
10.281
10.444
10.640
10.695
10.786
9.832
9.747
10.411
9.511
10.402
9.701
10.540
10.112
10.915
11.183
10.384
10.834
9.886
10.216




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114244&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114244&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114244&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'RServer@AstonUniversity' @ vre.aston.ac.uk







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.2978972.91880.002189
20.4816924.71964e-06
30.3973533.89329.1e-05
40.1762721.72710.043682
50.2893322.83490.002795
60.1392491.36440.087823
70.2265532.21980.014395
80.1283571.25760.105787
90.3520863.44970.000418
100.3149143.08550.001327
110.2303822.25730.013129
120.6761746.62510
130.1763921.72830.043576
140.3746953.67120.000198
150.2542512.49110.007225
160.0616140.60370.273738
170.1691981.65780.050311
180.027780.27220.39303
190.0650240.63710.262786
200.0050310.04930.480392
210.1470771.44110.076412
220.0894410.87630.191516
230.1070541.04890.148426
240.3719623.64450.000217
250.0203570.19950.421163
260.1706461.6720.048892
270.0638460.62560.266543
28-0.088837-0.87040.193121
29-0.018443-0.18070.42849
30-0.134141-1.31430.095937
31-0.110973-1.08730.139812
32-0.073051-0.71570.237943
33-0.042734-0.41870.338184
34-0.059211-0.58010.281588
35-0.054059-0.52970.298781
360.1361291.33380.092715
37-0.073625-0.72140.236215
38-0.002924-0.02860.488603
39-0.099076-0.97070.167059
40-0.219231-2.1480.017115
41-0.144364-1.41450.08023
42-0.259156-2.53920.006359
43-0.205488-2.01340.023438
44-0.196582-1.92610.028525
45-0.195553-1.9160.029169
46-0.118094-1.15710.125055
47-0.189096-1.85280.033495
480.0194090.19020.424789
49-0.162356-1.59080.057476
50-0.08636-0.84610.199787
51-0.143308-1.40410.081754
52-0.256456-2.51270.006823
53-0.169741-1.66310.049775
54-0.316524-3.10130.001265
55-0.191238-1.87370.032004
56-0.226647-2.22070.014362
57-0.199602-1.95570.026705
58-0.102723-1.00650.158358
59-0.20138-1.97310.025679
600.037460.3670.357202

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.297897 & 2.9188 & 0.002189 \tabularnewline
2 & 0.481692 & 4.7196 & 4e-06 \tabularnewline
3 & 0.397353 & 3.8932 & 9.1e-05 \tabularnewline
4 & 0.176272 & 1.7271 & 0.043682 \tabularnewline
5 & 0.289332 & 2.8349 & 0.002795 \tabularnewline
6 & 0.139249 & 1.3644 & 0.087823 \tabularnewline
7 & 0.226553 & 2.2198 & 0.014395 \tabularnewline
8 & 0.128357 & 1.2576 & 0.105787 \tabularnewline
9 & 0.352086 & 3.4497 & 0.000418 \tabularnewline
10 & 0.314914 & 3.0855 & 0.001327 \tabularnewline
11 & 0.230382 & 2.2573 & 0.013129 \tabularnewline
12 & 0.676174 & 6.6251 & 0 \tabularnewline
13 & 0.176392 & 1.7283 & 0.043576 \tabularnewline
14 & 0.374695 & 3.6712 & 0.000198 \tabularnewline
15 & 0.254251 & 2.4911 & 0.007225 \tabularnewline
16 & 0.061614 & 0.6037 & 0.273738 \tabularnewline
17 & 0.169198 & 1.6578 & 0.050311 \tabularnewline
18 & 0.02778 & 0.2722 & 0.39303 \tabularnewline
19 & 0.065024 & 0.6371 & 0.262786 \tabularnewline
20 & 0.005031 & 0.0493 & 0.480392 \tabularnewline
21 & 0.147077 & 1.4411 & 0.076412 \tabularnewline
22 & 0.089441 & 0.8763 & 0.191516 \tabularnewline
23 & 0.107054 & 1.0489 & 0.148426 \tabularnewline
24 & 0.371962 & 3.6445 & 0.000217 \tabularnewline
25 & 0.020357 & 0.1995 & 0.421163 \tabularnewline
26 & 0.170646 & 1.672 & 0.048892 \tabularnewline
27 & 0.063846 & 0.6256 & 0.266543 \tabularnewline
28 & -0.088837 & -0.8704 & 0.193121 \tabularnewline
29 & -0.018443 & -0.1807 & 0.42849 \tabularnewline
30 & -0.134141 & -1.3143 & 0.095937 \tabularnewline
31 & -0.110973 & -1.0873 & 0.139812 \tabularnewline
32 & -0.073051 & -0.7157 & 0.237943 \tabularnewline
33 & -0.042734 & -0.4187 & 0.338184 \tabularnewline
34 & -0.059211 & -0.5801 & 0.281588 \tabularnewline
35 & -0.054059 & -0.5297 & 0.298781 \tabularnewline
36 & 0.136129 & 1.3338 & 0.092715 \tabularnewline
37 & -0.073625 & -0.7214 & 0.236215 \tabularnewline
38 & -0.002924 & -0.0286 & 0.488603 \tabularnewline
39 & -0.099076 & -0.9707 & 0.167059 \tabularnewline
40 & -0.219231 & -2.148 & 0.017115 \tabularnewline
41 & -0.144364 & -1.4145 & 0.08023 \tabularnewline
42 & -0.259156 & -2.5392 & 0.006359 \tabularnewline
43 & -0.205488 & -2.0134 & 0.023438 \tabularnewline
44 & -0.196582 & -1.9261 & 0.028525 \tabularnewline
45 & -0.195553 & -1.916 & 0.029169 \tabularnewline
46 & -0.118094 & -1.1571 & 0.125055 \tabularnewline
47 & -0.189096 & -1.8528 & 0.033495 \tabularnewline
48 & 0.019409 & 0.1902 & 0.424789 \tabularnewline
49 & -0.162356 & -1.5908 & 0.057476 \tabularnewline
50 & -0.08636 & -0.8461 & 0.199787 \tabularnewline
51 & -0.143308 & -1.4041 & 0.081754 \tabularnewline
52 & -0.256456 & -2.5127 & 0.006823 \tabularnewline
53 & -0.169741 & -1.6631 & 0.049775 \tabularnewline
54 & -0.316524 & -3.1013 & 0.001265 \tabularnewline
55 & -0.191238 & -1.8737 & 0.032004 \tabularnewline
56 & -0.226647 & -2.2207 & 0.014362 \tabularnewline
57 & -0.199602 & -1.9557 & 0.026705 \tabularnewline
58 & -0.102723 & -1.0065 & 0.158358 \tabularnewline
59 & -0.20138 & -1.9731 & 0.025679 \tabularnewline
60 & 0.03746 & 0.367 & 0.357202 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114244&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]0.297897[/C][C]2.9188[/C][C]0.002189[/C][/ROW]
[ROW][C]2[/C][C]0.481692[/C][C]4.7196[/C][C]4e-06[/C][/ROW]
[ROW][C]3[/C][C]0.397353[/C][C]3.8932[/C][C]9.1e-05[/C][/ROW]
[ROW][C]4[/C][C]0.176272[/C][C]1.7271[/C][C]0.043682[/C][/ROW]
[ROW][C]5[/C][C]0.289332[/C][C]2.8349[/C][C]0.002795[/C][/ROW]
[ROW][C]6[/C][C]0.139249[/C][C]1.3644[/C][C]0.087823[/C][/ROW]
[ROW][C]7[/C][C]0.226553[/C][C]2.2198[/C][C]0.014395[/C][/ROW]
[ROW][C]8[/C][C]0.128357[/C][C]1.2576[/C][C]0.105787[/C][/ROW]
[ROW][C]9[/C][C]0.352086[/C][C]3.4497[/C][C]0.000418[/C][/ROW]
[ROW][C]10[/C][C]0.314914[/C][C]3.0855[/C][C]0.001327[/C][/ROW]
[ROW][C]11[/C][C]0.230382[/C][C]2.2573[/C][C]0.013129[/C][/ROW]
[ROW][C]12[/C][C]0.676174[/C][C]6.6251[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.176392[/C][C]1.7283[/C][C]0.043576[/C][/ROW]
[ROW][C]14[/C][C]0.374695[/C][C]3.6712[/C][C]0.000198[/C][/ROW]
[ROW][C]15[/C][C]0.254251[/C][C]2.4911[/C][C]0.007225[/C][/ROW]
[ROW][C]16[/C][C]0.061614[/C][C]0.6037[/C][C]0.273738[/C][/ROW]
[ROW][C]17[/C][C]0.169198[/C][C]1.6578[/C][C]0.050311[/C][/ROW]
[ROW][C]18[/C][C]0.02778[/C][C]0.2722[/C][C]0.39303[/C][/ROW]
[ROW][C]19[/C][C]0.065024[/C][C]0.6371[/C][C]0.262786[/C][/ROW]
[ROW][C]20[/C][C]0.005031[/C][C]0.0493[/C][C]0.480392[/C][/ROW]
[ROW][C]21[/C][C]0.147077[/C][C]1.4411[/C][C]0.076412[/C][/ROW]
[ROW][C]22[/C][C]0.089441[/C][C]0.8763[/C][C]0.191516[/C][/ROW]
[ROW][C]23[/C][C]0.107054[/C][C]1.0489[/C][C]0.148426[/C][/ROW]
[ROW][C]24[/C][C]0.371962[/C][C]3.6445[/C][C]0.000217[/C][/ROW]
[ROW][C]25[/C][C]0.020357[/C][C]0.1995[/C][C]0.421163[/C][/ROW]
[ROW][C]26[/C][C]0.170646[/C][C]1.672[/C][C]0.048892[/C][/ROW]
[ROW][C]27[/C][C]0.063846[/C][C]0.6256[/C][C]0.266543[/C][/ROW]
[ROW][C]28[/C][C]-0.088837[/C][C]-0.8704[/C][C]0.193121[/C][/ROW]
[ROW][C]29[/C][C]-0.018443[/C][C]-0.1807[/C][C]0.42849[/C][/ROW]
[ROW][C]30[/C][C]-0.134141[/C][C]-1.3143[/C][C]0.095937[/C][/ROW]
[ROW][C]31[/C][C]-0.110973[/C][C]-1.0873[/C][C]0.139812[/C][/ROW]
[ROW][C]32[/C][C]-0.073051[/C][C]-0.7157[/C][C]0.237943[/C][/ROW]
[ROW][C]33[/C][C]-0.042734[/C][C]-0.4187[/C][C]0.338184[/C][/ROW]
[ROW][C]34[/C][C]-0.059211[/C][C]-0.5801[/C][C]0.281588[/C][/ROW]
[ROW][C]35[/C][C]-0.054059[/C][C]-0.5297[/C][C]0.298781[/C][/ROW]
[ROW][C]36[/C][C]0.136129[/C][C]1.3338[/C][C]0.092715[/C][/ROW]
[ROW][C]37[/C][C]-0.073625[/C][C]-0.7214[/C][C]0.236215[/C][/ROW]
[ROW][C]38[/C][C]-0.002924[/C][C]-0.0286[/C][C]0.488603[/C][/ROW]
[ROW][C]39[/C][C]-0.099076[/C][C]-0.9707[/C][C]0.167059[/C][/ROW]
[ROW][C]40[/C][C]-0.219231[/C][C]-2.148[/C][C]0.017115[/C][/ROW]
[ROW][C]41[/C][C]-0.144364[/C][C]-1.4145[/C][C]0.08023[/C][/ROW]
[ROW][C]42[/C][C]-0.259156[/C][C]-2.5392[/C][C]0.006359[/C][/ROW]
[ROW][C]43[/C][C]-0.205488[/C][C]-2.0134[/C][C]0.023438[/C][/ROW]
[ROW][C]44[/C][C]-0.196582[/C][C]-1.9261[/C][C]0.028525[/C][/ROW]
[ROW][C]45[/C][C]-0.195553[/C][C]-1.916[/C][C]0.029169[/C][/ROW]
[ROW][C]46[/C][C]-0.118094[/C][C]-1.1571[/C][C]0.125055[/C][/ROW]
[ROW][C]47[/C][C]-0.189096[/C][C]-1.8528[/C][C]0.033495[/C][/ROW]
[ROW][C]48[/C][C]0.019409[/C][C]0.1902[/C][C]0.424789[/C][/ROW]
[ROW][C]49[/C][C]-0.162356[/C][C]-1.5908[/C][C]0.057476[/C][/ROW]
[ROW][C]50[/C][C]-0.08636[/C][C]-0.8461[/C][C]0.199787[/C][/ROW]
[ROW][C]51[/C][C]-0.143308[/C][C]-1.4041[/C][C]0.081754[/C][/ROW]
[ROW][C]52[/C][C]-0.256456[/C][C]-2.5127[/C][C]0.006823[/C][/ROW]
[ROW][C]53[/C][C]-0.169741[/C][C]-1.6631[/C][C]0.049775[/C][/ROW]
[ROW][C]54[/C][C]-0.316524[/C][C]-3.1013[/C][C]0.001265[/C][/ROW]
[ROW][C]55[/C][C]-0.191238[/C][C]-1.8737[/C][C]0.032004[/C][/ROW]
[ROW][C]56[/C][C]-0.226647[/C][C]-2.2207[/C][C]0.014362[/C][/ROW]
[ROW][C]57[/C][C]-0.199602[/C][C]-1.9557[/C][C]0.026705[/C][/ROW]
[ROW][C]58[/C][C]-0.102723[/C][C]-1.0065[/C][C]0.158358[/C][/ROW]
[ROW][C]59[/C][C]-0.20138[/C][C]-1.9731[/C][C]0.025679[/C][/ROW]
[ROW][C]60[/C][C]0.03746[/C][C]0.367[/C][C]0.357202[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114244&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114244&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
10.2978972.91880.002189
20.4816924.71964e-06
30.3973533.89329.1e-05
40.1762721.72710.043682
50.2893322.83490.002795
60.1392491.36440.087823
70.2265532.21980.014395
80.1283571.25760.105787
90.3520863.44970.000418
100.3149143.08550.001327
110.2303822.25730.013129
120.6761746.62510
130.1763921.72830.043576
140.3746953.67120.000198
150.2542512.49110.007225
160.0616140.60370.273738
170.1691981.65780.050311
180.027780.27220.39303
190.0650240.63710.262786
200.0050310.04930.480392
210.1470771.44110.076412
220.0894410.87630.191516
230.1070541.04890.148426
240.3719623.64450.000217
250.0203570.19950.421163
260.1706461.6720.048892
270.0638460.62560.266543
28-0.088837-0.87040.193121
29-0.018443-0.18070.42849
30-0.134141-1.31430.095937
31-0.110973-1.08730.139812
32-0.073051-0.71570.237943
33-0.042734-0.41870.338184
34-0.059211-0.58010.281588
35-0.054059-0.52970.298781
360.1361291.33380.092715
37-0.073625-0.72140.236215
38-0.002924-0.02860.488603
39-0.099076-0.97070.167059
40-0.219231-2.1480.017115
41-0.144364-1.41450.08023
42-0.259156-2.53920.006359
43-0.205488-2.01340.023438
44-0.196582-1.92610.028525
45-0.195553-1.9160.029169
46-0.118094-1.15710.125055
47-0.189096-1.85280.033495
480.0194090.19020.424789
49-0.162356-1.59080.057476
50-0.08636-0.84610.199787
51-0.143308-1.40410.081754
52-0.256456-2.51270.006823
53-0.169741-1.66310.049775
54-0.316524-3.10130.001265
55-0.191238-1.87370.032004
56-0.226647-2.22070.014362
57-0.199602-1.95570.026705
58-0.102723-1.00650.158358
59-0.20138-1.97310.025679
600.037460.3670.357202







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.2978972.91880.002189
20.4312174.2252.7e-05
30.252462.47360.007566
4-0.158542-1.55340.06181
50.0203470.19940.421202
60.0023960.02350.490659
70.1369591.34190.091394
8-0.030663-0.30040.382249
90.3093893.03140.001565
100.2178072.13410.017693
11-0.086196-0.84450.200233
120.511625.01281e-06
13-0.171661-1.68190.047917
14-0.200985-1.96920.025904
15-0.097464-0.95490.171002
16-0.100373-0.98350.163929
17-0.078669-0.77080.22136
18-0.014127-0.13840.4451
19-0.059065-0.57870.282069
20-0.022375-0.21920.413467
21-0.114616-1.1230.132118
22-0.055252-0.54140.294759
230.0719930.70540.241139
240.0276370.27080.393567
25-0.043209-0.42340.336489
26-0.135281-1.32550.094079
27-0.040064-0.39250.347762
28-0.01128-0.11050.456115
29-0.092112-0.90250.184522
30-0.017651-0.17290.431531
310.0540530.52960.298802
320.1503571.47320.071986
33-0.075878-0.74340.229514
34-0.034682-0.33980.367369
35-0.089545-0.87740.191241
360.0149110.14610.442077
370.0680130.66640.253381
38-0.037926-0.37160.355507
39-0.099872-0.97850.165133
40-0.042723-0.41860.338223
41-0.024709-0.24210.404609
42-0.042254-0.4140.339897
430.0900590.88240.189885
44-0.063995-0.6270.266066
45-0.097495-0.95530.170924
460.0796760.78070.21846
47-0.067242-0.65880.255791
480.0568660.55720.289354
49-0.050467-0.49450.31105
500.0156990.15380.439038
510.0577450.56580.286429
520.004440.04350.482697
530.0278120.27250.392912
54-0.054019-0.52930.298919
55-0.006925-0.06780.473024
560.0334110.32740.372056
570.0483550.47380.318366
580.039880.39070.348426
590.0050050.0490.480494
60-0.012811-0.12550.450185

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.297897 & 2.9188 & 0.002189 \tabularnewline
2 & 0.431217 & 4.225 & 2.7e-05 \tabularnewline
3 & 0.25246 & 2.4736 & 0.007566 \tabularnewline
4 & -0.158542 & -1.5534 & 0.06181 \tabularnewline
5 & 0.020347 & 0.1994 & 0.421202 \tabularnewline
6 & 0.002396 & 0.0235 & 0.490659 \tabularnewline
7 & 0.136959 & 1.3419 & 0.091394 \tabularnewline
8 & -0.030663 & -0.3004 & 0.382249 \tabularnewline
9 & 0.309389 & 3.0314 & 0.001565 \tabularnewline
10 & 0.217807 & 2.1341 & 0.017693 \tabularnewline
11 & -0.086196 & -0.8445 & 0.200233 \tabularnewline
12 & 0.51162 & 5.0128 & 1e-06 \tabularnewline
13 & -0.171661 & -1.6819 & 0.047917 \tabularnewline
14 & -0.200985 & -1.9692 & 0.025904 \tabularnewline
15 & -0.097464 & -0.9549 & 0.171002 \tabularnewline
16 & -0.100373 & -0.9835 & 0.163929 \tabularnewline
17 & -0.078669 & -0.7708 & 0.22136 \tabularnewline
18 & -0.014127 & -0.1384 & 0.4451 \tabularnewline
19 & -0.059065 & -0.5787 & 0.282069 \tabularnewline
20 & -0.022375 & -0.2192 & 0.413467 \tabularnewline
21 & -0.114616 & -1.123 & 0.132118 \tabularnewline
22 & -0.055252 & -0.5414 & 0.294759 \tabularnewline
23 & 0.071993 & 0.7054 & 0.241139 \tabularnewline
24 & 0.027637 & 0.2708 & 0.393567 \tabularnewline
25 & -0.043209 & -0.4234 & 0.336489 \tabularnewline
26 & -0.135281 & -1.3255 & 0.094079 \tabularnewline
27 & -0.040064 & -0.3925 & 0.347762 \tabularnewline
28 & -0.01128 & -0.1105 & 0.456115 \tabularnewline
29 & -0.092112 & -0.9025 & 0.184522 \tabularnewline
30 & -0.017651 & -0.1729 & 0.431531 \tabularnewline
31 & 0.054053 & 0.5296 & 0.298802 \tabularnewline
32 & 0.150357 & 1.4732 & 0.071986 \tabularnewline
33 & -0.075878 & -0.7434 & 0.229514 \tabularnewline
34 & -0.034682 & -0.3398 & 0.367369 \tabularnewline
35 & -0.089545 & -0.8774 & 0.191241 \tabularnewline
36 & 0.014911 & 0.1461 & 0.442077 \tabularnewline
37 & 0.068013 & 0.6664 & 0.253381 \tabularnewline
38 & -0.037926 & -0.3716 & 0.355507 \tabularnewline
39 & -0.099872 & -0.9785 & 0.165133 \tabularnewline
40 & -0.042723 & -0.4186 & 0.338223 \tabularnewline
41 & -0.024709 & -0.2421 & 0.404609 \tabularnewline
42 & -0.042254 & -0.414 & 0.339897 \tabularnewline
43 & 0.090059 & 0.8824 & 0.189885 \tabularnewline
44 & -0.063995 & -0.627 & 0.266066 \tabularnewline
45 & -0.097495 & -0.9553 & 0.170924 \tabularnewline
46 & 0.079676 & 0.7807 & 0.21846 \tabularnewline
47 & -0.067242 & -0.6588 & 0.255791 \tabularnewline
48 & 0.056866 & 0.5572 & 0.289354 \tabularnewline
49 & -0.050467 & -0.4945 & 0.31105 \tabularnewline
50 & 0.015699 & 0.1538 & 0.439038 \tabularnewline
51 & 0.057745 & 0.5658 & 0.286429 \tabularnewline
52 & 0.00444 & 0.0435 & 0.482697 \tabularnewline
53 & 0.027812 & 0.2725 & 0.392912 \tabularnewline
54 & -0.054019 & -0.5293 & 0.298919 \tabularnewline
55 & -0.006925 & -0.0678 & 0.473024 \tabularnewline
56 & 0.033411 & 0.3274 & 0.372056 \tabularnewline
57 & 0.048355 & 0.4738 & 0.318366 \tabularnewline
58 & 0.03988 & 0.3907 & 0.348426 \tabularnewline
59 & 0.005005 & 0.049 & 0.480494 \tabularnewline
60 & -0.012811 & -0.1255 & 0.450185 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114244&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]0.297897[/C][C]2.9188[/C][C]0.002189[/C][/ROW]
[ROW][C]2[/C][C]0.431217[/C][C]4.225[/C][C]2.7e-05[/C][/ROW]
[ROW][C]3[/C][C]0.25246[/C][C]2.4736[/C][C]0.007566[/C][/ROW]
[ROW][C]4[/C][C]-0.158542[/C][C]-1.5534[/C][C]0.06181[/C][/ROW]
[ROW][C]5[/C][C]0.020347[/C][C]0.1994[/C][C]0.421202[/C][/ROW]
[ROW][C]6[/C][C]0.002396[/C][C]0.0235[/C][C]0.490659[/C][/ROW]
[ROW][C]7[/C][C]0.136959[/C][C]1.3419[/C][C]0.091394[/C][/ROW]
[ROW][C]8[/C][C]-0.030663[/C][C]-0.3004[/C][C]0.382249[/C][/ROW]
[ROW][C]9[/C][C]0.309389[/C][C]3.0314[/C][C]0.001565[/C][/ROW]
[ROW][C]10[/C][C]0.217807[/C][C]2.1341[/C][C]0.017693[/C][/ROW]
[ROW][C]11[/C][C]-0.086196[/C][C]-0.8445[/C][C]0.200233[/C][/ROW]
[ROW][C]12[/C][C]0.51162[/C][C]5.0128[/C][C]1e-06[/C][/ROW]
[ROW][C]13[/C][C]-0.171661[/C][C]-1.6819[/C][C]0.047917[/C][/ROW]
[ROW][C]14[/C][C]-0.200985[/C][C]-1.9692[/C][C]0.025904[/C][/ROW]
[ROW][C]15[/C][C]-0.097464[/C][C]-0.9549[/C][C]0.171002[/C][/ROW]
[ROW][C]16[/C][C]-0.100373[/C][C]-0.9835[/C][C]0.163929[/C][/ROW]
[ROW][C]17[/C][C]-0.078669[/C][C]-0.7708[/C][C]0.22136[/C][/ROW]
[ROW][C]18[/C][C]-0.014127[/C][C]-0.1384[/C][C]0.4451[/C][/ROW]
[ROW][C]19[/C][C]-0.059065[/C][C]-0.5787[/C][C]0.282069[/C][/ROW]
[ROW][C]20[/C][C]-0.022375[/C][C]-0.2192[/C][C]0.413467[/C][/ROW]
[ROW][C]21[/C][C]-0.114616[/C][C]-1.123[/C][C]0.132118[/C][/ROW]
[ROW][C]22[/C][C]-0.055252[/C][C]-0.5414[/C][C]0.294759[/C][/ROW]
[ROW][C]23[/C][C]0.071993[/C][C]0.7054[/C][C]0.241139[/C][/ROW]
[ROW][C]24[/C][C]0.027637[/C][C]0.2708[/C][C]0.393567[/C][/ROW]
[ROW][C]25[/C][C]-0.043209[/C][C]-0.4234[/C][C]0.336489[/C][/ROW]
[ROW][C]26[/C][C]-0.135281[/C][C]-1.3255[/C][C]0.094079[/C][/ROW]
[ROW][C]27[/C][C]-0.040064[/C][C]-0.3925[/C][C]0.347762[/C][/ROW]
[ROW][C]28[/C][C]-0.01128[/C][C]-0.1105[/C][C]0.456115[/C][/ROW]
[ROW][C]29[/C][C]-0.092112[/C][C]-0.9025[/C][C]0.184522[/C][/ROW]
[ROW][C]30[/C][C]-0.017651[/C][C]-0.1729[/C][C]0.431531[/C][/ROW]
[ROW][C]31[/C][C]0.054053[/C][C]0.5296[/C][C]0.298802[/C][/ROW]
[ROW][C]32[/C][C]0.150357[/C][C]1.4732[/C][C]0.071986[/C][/ROW]
[ROW][C]33[/C][C]-0.075878[/C][C]-0.7434[/C][C]0.229514[/C][/ROW]
[ROW][C]34[/C][C]-0.034682[/C][C]-0.3398[/C][C]0.367369[/C][/ROW]
[ROW][C]35[/C][C]-0.089545[/C][C]-0.8774[/C][C]0.191241[/C][/ROW]
[ROW][C]36[/C][C]0.014911[/C][C]0.1461[/C][C]0.442077[/C][/ROW]
[ROW][C]37[/C][C]0.068013[/C][C]0.6664[/C][C]0.253381[/C][/ROW]
[ROW][C]38[/C][C]-0.037926[/C][C]-0.3716[/C][C]0.355507[/C][/ROW]
[ROW][C]39[/C][C]-0.099872[/C][C]-0.9785[/C][C]0.165133[/C][/ROW]
[ROW][C]40[/C][C]-0.042723[/C][C]-0.4186[/C][C]0.338223[/C][/ROW]
[ROW][C]41[/C][C]-0.024709[/C][C]-0.2421[/C][C]0.404609[/C][/ROW]
[ROW][C]42[/C][C]-0.042254[/C][C]-0.414[/C][C]0.339897[/C][/ROW]
[ROW][C]43[/C][C]0.090059[/C][C]0.8824[/C][C]0.189885[/C][/ROW]
[ROW][C]44[/C][C]-0.063995[/C][C]-0.627[/C][C]0.266066[/C][/ROW]
[ROW][C]45[/C][C]-0.097495[/C][C]-0.9553[/C][C]0.170924[/C][/ROW]
[ROW][C]46[/C][C]0.079676[/C][C]0.7807[/C][C]0.21846[/C][/ROW]
[ROW][C]47[/C][C]-0.067242[/C][C]-0.6588[/C][C]0.255791[/C][/ROW]
[ROW][C]48[/C][C]0.056866[/C][C]0.5572[/C][C]0.289354[/C][/ROW]
[ROW][C]49[/C][C]-0.050467[/C][C]-0.4945[/C][C]0.31105[/C][/ROW]
[ROW][C]50[/C][C]0.015699[/C][C]0.1538[/C][C]0.439038[/C][/ROW]
[ROW][C]51[/C][C]0.057745[/C][C]0.5658[/C][C]0.286429[/C][/ROW]
[ROW][C]52[/C][C]0.00444[/C][C]0.0435[/C][C]0.482697[/C][/ROW]
[ROW][C]53[/C][C]0.027812[/C][C]0.2725[/C][C]0.392912[/C][/ROW]
[ROW][C]54[/C][C]-0.054019[/C][C]-0.5293[/C][C]0.298919[/C][/ROW]
[ROW][C]55[/C][C]-0.006925[/C][C]-0.0678[/C][C]0.473024[/C][/ROW]
[ROW][C]56[/C][C]0.033411[/C][C]0.3274[/C][C]0.372056[/C][/ROW]
[ROW][C]57[/C][C]0.048355[/C][C]0.4738[/C][C]0.318366[/C][/ROW]
[ROW][C]58[/C][C]0.03988[/C][C]0.3907[/C][C]0.348426[/C][/ROW]
[ROW][C]59[/C][C]0.005005[/C][C]0.049[/C][C]0.480494[/C][/ROW]
[ROW][C]60[/C][C]-0.012811[/C][C]-0.1255[/C][C]0.450185[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114244&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114244&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
10.2978972.91880.002189
20.4312174.2252.7e-05
30.252462.47360.007566
4-0.158542-1.55340.06181
50.0203470.19940.421202
60.0023960.02350.490659
70.1369591.34190.091394
8-0.030663-0.30040.382249
90.3093893.03140.001565
100.2178072.13410.017693
11-0.086196-0.84450.200233
120.511625.01281e-06
13-0.171661-1.68190.047917
14-0.200985-1.96920.025904
15-0.097464-0.95490.171002
16-0.100373-0.98350.163929
17-0.078669-0.77080.22136
18-0.014127-0.13840.4451
19-0.059065-0.57870.282069
20-0.022375-0.21920.413467
21-0.114616-1.1230.132118
22-0.055252-0.54140.294759
230.0719930.70540.241139
240.0276370.27080.393567
25-0.043209-0.42340.336489
26-0.135281-1.32550.094079
27-0.040064-0.39250.347762
28-0.01128-0.11050.456115
29-0.092112-0.90250.184522
30-0.017651-0.17290.431531
310.0540530.52960.298802
320.1503571.47320.071986
33-0.075878-0.74340.229514
34-0.034682-0.33980.367369
35-0.089545-0.87740.191241
360.0149110.14610.442077
370.0680130.66640.253381
38-0.037926-0.37160.355507
39-0.099872-0.97850.165133
40-0.042723-0.41860.338223
41-0.024709-0.24210.404609
42-0.042254-0.4140.339897
430.0900590.88240.189885
44-0.063995-0.6270.266066
45-0.097495-0.95530.170924
460.0796760.78070.21846
47-0.067242-0.65880.255791
480.0568660.55720.289354
49-0.050467-0.49450.31105
500.0156990.15380.439038
510.0577450.56580.286429
520.004440.04350.482697
530.0278120.27250.392912
54-0.054019-0.52930.298919
55-0.006925-0.06780.473024
560.0334110.32740.372056
570.0483550.47380.318366
580.039880.39070.348426
590.0050050.0490.480494
60-0.012811-0.12550.450185



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')