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Description of Statistical Computation

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, 26 Nov 2012 10:35:17 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Nov/26/t1353944137qnrix0lheeinxuh.htm/, Retrieved Tue, 30 Apr 2024 05:15:57 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=193242, Retrieved Tue, 30 Apr 2024 05:15:57 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact62

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2008-12-08 19:22:39] [d2d412c7f4d35ffbf5ee5ee89db327d4]
- RMPD    [(Partial) Autocorrelation Function] [] [2012-11-26 15:35:17] [a587951ff5ee1fbafa3c9416eb6a1c1d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
46
62
66
59
58
61
41
27
58
70
49
59
44
36
72
45
56
54
53
35
61
52
47
51
52
63
74
45
51
64
36
30
55
64
39
40
63
45
59
55
40
64
27
28
45
57
45
69
60
56
58
50
51
53
37
22
55
70
62
58
39
49
58
47
42
62
39
40
72
70
54
65

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'Herman Ole Andreas Wold' @ wold.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 & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=193242&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=193242&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=193242&T=0

As an alternative you can also use a QR Code:  
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'Herman Ole Andreas Wold' @ wold.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.489514-4.09565.6e-05
2-0.237289-1.98530.025515
30.3492212.92180.002341
4-0.069072-0.57790.282593
5-0.194391-1.62640.05418
60.2710212.26750.013224
7-0.153783-1.28660.10123
8-0.077916-0.65190.258303
90.2861082.39380.00968
10-0.258931-2.16640.016845
11-0.103192-0.86340.195443
120.4113093.44130.00049
13-0.184142-1.54060.063956
14-0.260506-2.17960.016329
150.3312592.77150.003571
16-0.072678-0.60810.272554
17-0.171719-1.43670.077628
180.2634622.20430.015397
19-0.196458-1.64370.052363
20-0.025383-0.21240.416218
210.2505032.09590.019856
22-0.201399-1.6850.048219
23-0.143339-1.19930.117235
240.3206372.68260.004553
25-0.009506-0.07950.468417
26-0.373145-3.1220.001306
270.3762643.14810.001208
28-0.121569-1.01710.1563
29-0.087828-0.73480.232452
300.1426641.19360.118329
31-0.0984-0.82330.206574
32-0.031805-0.26610.395473
330.220141.84180.034868
34-0.213579-1.78690.039139
35-0.098882-0.82730.205438
360.3088012.58360.005933
37-0.119355-0.99860.160715
38-0.160077-1.33930.092403
390.1922661.60860.056101
40-0.01217-0.10180.459595
41-0.143075-1.1970.117663
420.1086410.9090.183246
430.0168090.14060.444283
44-0.094794-0.79310.2152
450.1486941.24410.108813
46-0.149926-1.25440.10694
47-0.011695-0.09780.461167
480.1572861.3160.096242

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.489514 & -4.0956 & 5.6e-05 \tabularnewline
2 & -0.237289 & -1.9853 & 0.025515 \tabularnewline
3 & 0.349221 & 2.9218 & 0.002341 \tabularnewline
4 & -0.069072 & -0.5779 & 0.282593 \tabularnewline
5 & -0.194391 & -1.6264 & 0.05418 \tabularnewline
6 & 0.271021 & 2.2675 & 0.013224 \tabularnewline
7 & -0.153783 & -1.2866 & 0.10123 \tabularnewline
8 & -0.077916 & -0.6519 & 0.258303 \tabularnewline
9 & 0.286108 & 2.3938 & 0.00968 \tabularnewline
10 & -0.258931 & -2.1664 & 0.016845 \tabularnewline
11 & -0.103192 & -0.8634 & 0.195443 \tabularnewline
12 & 0.411309 & 3.4413 & 0.00049 \tabularnewline
13 & -0.184142 & -1.5406 & 0.063956 \tabularnewline
14 & -0.260506 & -2.1796 & 0.016329 \tabularnewline
15 & 0.331259 & 2.7715 & 0.003571 \tabularnewline
16 & -0.072678 & -0.6081 & 0.272554 \tabularnewline
17 & -0.171719 & -1.4367 & 0.077628 \tabularnewline
18 & 0.263462 & 2.2043 & 0.015397 \tabularnewline
19 & -0.196458 & -1.6437 & 0.052363 \tabularnewline
20 & -0.025383 & -0.2124 & 0.416218 \tabularnewline
21 & 0.250503 & 2.0959 & 0.019856 \tabularnewline
22 & -0.201399 & -1.685 & 0.048219 \tabularnewline
23 & -0.143339 & -1.1993 & 0.117235 \tabularnewline
24 & 0.320637 & 2.6826 & 0.004553 \tabularnewline
25 & -0.009506 & -0.0795 & 0.468417 \tabularnewline
26 & -0.373145 & -3.122 & 0.001306 \tabularnewline
27 & 0.376264 & 3.1481 & 0.001208 \tabularnewline
28 & -0.121569 & -1.0171 & 0.1563 \tabularnewline
29 & -0.087828 & -0.7348 & 0.232452 \tabularnewline
30 & 0.142664 & 1.1936 & 0.118329 \tabularnewline
31 & -0.0984 & -0.8233 & 0.206574 \tabularnewline
32 & -0.031805 & -0.2661 & 0.395473 \tabularnewline
33 & 0.22014 & 1.8418 & 0.034868 \tabularnewline
34 & -0.213579 & -1.7869 & 0.039139 \tabularnewline
35 & -0.098882 & -0.8273 & 0.205438 \tabularnewline
36 & 0.308801 & 2.5836 & 0.005933 \tabularnewline
37 & -0.119355 & -0.9986 & 0.160715 \tabularnewline
38 & -0.160077 & -1.3393 & 0.092403 \tabularnewline
39 & 0.192266 & 1.6086 & 0.056101 \tabularnewline
40 & -0.01217 & -0.1018 & 0.459595 \tabularnewline
41 & -0.143075 & -1.197 & 0.117663 \tabularnewline
42 & 0.108641 & 0.909 & 0.183246 \tabularnewline
43 & 0.016809 & 0.1406 & 0.444283 \tabularnewline
44 & -0.094794 & -0.7931 & 0.2152 \tabularnewline
45 & 0.148694 & 1.2441 & 0.108813 \tabularnewline
46 & -0.149926 & -1.2544 & 0.10694 \tabularnewline
47 & -0.011695 & -0.0978 & 0.461167 \tabularnewline
48 & 0.157286 & 1.316 & 0.096242 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=193242&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]-0.489514[/C][C]-4.0956[/C][C]5.6e-05[/C][/ROW]
[ROW][C]2[/C][C]-0.237289[/C][C]-1.9853[/C][C]0.025515[/C][/ROW]
[ROW][C]3[/C][C]0.349221[/C][C]2.9218[/C][C]0.002341[/C][/ROW]
[ROW][C]4[/C][C]-0.069072[/C][C]-0.5779[/C][C]0.282593[/C][/ROW]
[ROW][C]5[/C][C]-0.194391[/C][C]-1.6264[/C][C]0.05418[/C][/ROW]
[ROW][C]6[/C][C]0.271021[/C][C]2.2675[/C][C]0.013224[/C][/ROW]
[ROW][C]7[/C][C]-0.153783[/C][C]-1.2866[/C][C]0.10123[/C][/ROW]
[ROW][C]8[/C][C]-0.077916[/C][C]-0.6519[/C][C]0.258303[/C][/ROW]
[ROW][C]9[/C][C]0.286108[/C][C]2.3938[/C][C]0.00968[/C][/ROW]
[ROW][C]10[/C][C]-0.258931[/C][C]-2.1664[/C][C]0.016845[/C][/ROW]
[ROW][C]11[/C][C]-0.103192[/C][C]-0.8634[/C][C]0.195443[/C][/ROW]
[ROW][C]12[/C][C]0.411309[/C][C]3.4413[/C][C]0.00049[/C][/ROW]
[ROW][C]13[/C][C]-0.184142[/C][C]-1.5406[/C][C]0.063956[/C][/ROW]
[ROW][C]14[/C][C]-0.260506[/C][C]-2.1796[/C][C]0.016329[/C][/ROW]
[ROW][C]15[/C][C]0.331259[/C][C]2.7715[/C][C]0.003571[/C][/ROW]
[ROW][C]16[/C][C]-0.072678[/C][C]-0.6081[/C][C]0.272554[/C][/ROW]
[ROW][C]17[/C][C]-0.171719[/C][C]-1.4367[/C][C]0.077628[/C][/ROW]
[ROW][C]18[/C][C]0.263462[/C][C]2.2043[/C][C]0.015397[/C][/ROW]
[ROW][C]19[/C][C]-0.196458[/C][C]-1.6437[/C][C]0.052363[/C][/ROW]
[ROW][C]20[/C][C]-0.025383[/C][C]-0.2124[/C][C]0.416218[/C][/ROW]
[ROW][C]21[/C][C]0.250503[/C][C]2.0959[/C][C]0.019856[/C][/ROW]
[ROW][C]22[/C][C]-0.201399[/C][C]-1.685[/C][C]0.048219[/C][/ROW]
[ROW][C]23[/C][C]-0.143339[/C][C]-1.1993[/C][C]0.117235[/C][/ROW]
[ROW][C]24[/C][C]0.320637[/C][C]2.6826[/C][C]0.004553[/C][/ROW]
[ROW][C]25[/C][C]-0.009506[/C][C]-0.0795[/C][C]0.468417[/C][/ROW]
[ROW][C]26[/C][C]-0.373145[/C][C]-3.122[/C][C]0.001306[/C][/ROW]
[ROW][C]27[/C][C]0.376264[/C][C]3.1481[/C][C]0.001208[/C][/ROW]
[ROW][C]28[/C][C]-0.121569[/C][C]-1.0171[/C][C]0.1563[/C][/ROW]
[ROW][C]29[/C][C]-0.087828[/C][C]-0.7348[/C][C]0.232452[/C][/ROW]
[ROW][C]30[/C][C]0.142664[/C][C]1.1936[/C][C]0.118329[/C][/ROW]
[ROW][C]31[/C][C]-0.0984[/C][C]-0.8233[/C][C]0.206574[/C][/ROW]
[ROW][C]32[/C][C]-0.031805[/C][C]-0.2661[/C][C]0.395473[/C][/ROW]
[ROW][C]33[/C][C]0.22014[/C][C]1.8418[/C][C]0.034868[/C][/ROW]
[ROW][C]34[/C][C]-0.213579[/C][C]-1.7869[/C][C]0.039139[/C][/ROW]
[ROW][C]35[/C][C]-0.098882[/C][C]-0.8273[/C][C]0.205438[/C][/ROW]
[ROW][C]36[/C][C]0.308801[/C][C]2.5836[/C][C]0.005933[/C][/ROW]
[ROW][C]37[/C][C]-0.119355[/C][C]-0.9986[/C][C]0.160715[/C][/ROW]
[ROW][C]38[/C][C]-0.160077[/C][C]-1.3393[/C][C]0.092403[/C][/ROW]
[ROW][C]39[/C][C]0.192266[/C][C]1.6086[/C][C]0.056101[/C][/ROW]
[ROW][C]40[/C][C]-0.01217[/C][C]-0.1018[/C][C]0.459595[/C][/ROW]
[ROW][C]41[/C][C]-0.143075[/C][C]-1.197[/C][C]0.117663[/C][/ROW]
[ROW][C]42[/C][C]0.108641[/C][C]0.909[/C][C]0.183246[/C][/ROW]
[ROW][C]43[/C][C]0.016809[/C][C]0.1406[/C][C]0.444283[/C][/ROW]
[ROW][C]44[/C][C]-0.094794[/C][C]-0.7931[/C][C]0.2152[/C][/ROW]
[ROW][C]45[/C][C]0.148694[/C][C]1.2441[/C][C]0.108813[/C][/ROW]
[ROW][C]46[/C][C]-0.149926[/C][C]-1.2544[/C][C]0.10694[/C][/ROW]
[ROW][C]47[/C][C]-0.011695[/C][C]-0.0978[/C][C]0.461167[/C][/ROW]
[ROW][C]48[/C][C]0.157286[/C][C]1.316[/C][C]0.096242[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=193242&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=193242&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.489514-4.09565.6e-05
2-0.237289-1.98530.025515
30.3492212.92180.002341
4-0.069072-0.57790.282593
5-0.194391-1.62640.05418
60.2710212.26750.013224
7-0.153783-1.28660.10123
8-0.077916-0.65190.258303
90.2861082.39380.00968
10-0.258931-2.16640.016845
11-0.103192-0.86340.195443
120.4113093.44130.00049
13-0.184142-1.54060.063956
14-0.260506-2.17960.016329
150.3312592.77150.003571
16-0.072678-0.60810.272554
17-0.171719-1.43670.077628
180.2634622.20430.015397
19-0.196458-1.64370.052363
20-0.025383-0.21240.416218
210.2505032.09590.019856
22-0.201399-1.6850.048219
23-0.143339-1.19930.117235
240.3206372.68260.004553
25-0.009506-0.07950.468417
26-0.373145-3.1220.001306
270.3762643.14810.001208
28-0.121569-1.01710.1563
29-0.087828-0.73480.232452
300.1426641.19360.118329
31-0.0984-0.82330.206574
32-0.031805-0.26610.395473
330.220141.84180.034868
34-0.213579-1.78690.039139
35-0.098882-0.82730.205438
360.3088012.58360.005933
37-0.119355-0.99860.160715
38-0.160077-1.33930.092403
390.1922661.60860.056101
40-0.01217-0.10180.459595
41-0.143075-1.1970.117663
420.1086410.9090.183246
430.0168090.14060.444283
44-0.094794-0.79310.2152
450.1486941.24410.108813
46-0.149926-1.25440.10694
47-0.011695-0.09780.461167
480.1572861.3160.096242






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.489514-4.09565.6e-05
2-0.627207-5.24761e-06
3-0.318298-2.66310.0048
4-0.207439-1.73560.043521
5-0.308788-2.58350.005935
6-0.035604-0.29790.383337
7-0.12984-1.08630.140532
8-0.190208-1.59140.058013
90.128161.07230.143643
10-0.016454-0.13770.445449
11-0.286781-2.39940.009544
12-0.036613-0.30630.380133
130.1896351.58660.058555
140.0543520.45470.325352
150.0436980.36560.357883
160.0262160.21930.413511
17-0.044477-0.37210.355465
180.1231741.03050.15315
19-0.043199-0.36140.359433
20-0.090679-0.75870.225298
210.0077610.06490.474205
220.0918330.76830.222439
23-0.06886-0.57610.283189
24-0.249456-2.08710.020261
250.1267451.06040.146298
26-0.027903-0.23350.408045
270.1541991.29010.100627
28-0.03554-0.29740.38354
290.0363380.3040.381004
300.0295520.24720.40272
31-0.06984-0.58430.28044
320.0059090.04940.480354
330.0354830.29690.383722
340.0674680.56450.287116
350.0188830.1580.43746
36-0.067846-0.56760.286048
37-0.11241-0.94050.1751
38-0.036758-0.30750.379671
390.0408840.34210.366667
400.09510.79570.21446
410.0799180.66860.252961
42-0.106928-0.89460.187026
43-0.004791-0.04010.484069
440.068860.57610.283188
45-0.015414-0.1290.448878
46-0.108304-0.90610.183986
47-0.023075-0.19310.423735
480.0261520.21880.41372

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.489514 & -4.0956 & 5.6e-05 \tabularnewline
2 & -0.627207 & -5.2476 & 1e-06 \tabularnewline
3 & -0.318298 & -2.6631 & 0.0048 \tabularnewline
4 & -0.207439 & -1.7356 & 0.043521 \tabularnewline
5 & -0.308788 & -2.5835 & 0.005935 \tabularnewline
6 & -0.035604 & -0.2979 & 0.383337 \tabularnewline
7 & -0.12984 & -1.0863 & 0.140532 \tabularnewline
8 & -0.190208 & -1.5914 & 0.058013 \tabularnewline
9 & 0.12816 & 1.0723 & 0.143643 \tabularnewline
10 & -0.016454 & -0.1377 & 0.445449 \tabularnewline
11 & -0.286781 & -2.3994 & 0.009544 \tabularnewline
12 & -0.036613 & -0.3063 & 0.380133 \tabularnewline
13 & 0.189635 & 1.5866 & 0.058555 \tabularnewline
14 & 0.054352 & 0.4547 & 0.325352 \tabularnewline
15 & 0.043698 & 0.3656 & 0.357883 \tabularnewline
16 & 0.026216 & 0.2193 & 0.413511 \tabularnewline
17 & -0.044477 & -0.3721 & 0.355465 \tabularnewline
18 & 0.123174 & 1.0305 & 0.15315 \tabularnewline
19 & -0.043199 & -0.3614 & 0.359433 \tabularnewline
20 & -0.090679 & -0.7587 & 0.225298 \tabularnewline
21 & 0.007761 & 0.0649 & 0.474205 \tabularnewline
22 & 0.091833 & 0.7683 & 0.222439 \tabularnewline
23 & -0.06886 & -0.5761 & 0.283189 \tabularnewline
24 & -0.249456 & -2.0871 & 0.020261 \tabularnewline
25 & 0.126745 & 1.0604 & 0.146298 \tabularnewline
26 & -0.027903 & -0.2335 & 0.408045 \tabularnewline
27 & 0.154199 & 1.2901 & 0.100627 \tabularnewline
28 & -0.03554 & -0.2974 & 0.38354 \tabularnewline
29 & 0.036338 & 0.304 & 0.381004 \tabularnewline
30 & 0.029552 & 0.2472 & 0.40272 \tabularnewline
31 & -0.06984 & -0.5843 & 0.28044 \tabularnewline
32 & 0.005909 & 0.0494 & 0.480354 \tabularnewline
33 & 0.035483 & 0.2969 & 0.383722 \tabularnewline
34 & 0.067468 & 0.5645 & 0.287116 \tabularnewline
35 & 0.018883 & 0.158 & 0.43746 \tabularnewline
36 & -0.067846 & -0.5676 & 0.286048 \tabularnewline
37 & -0.11241 & -0.9405 & 0.1751 \tabularnewline
38 & -0.036758 & -0.3075 & 0.379671 \tabularnewline
39 & 0.040884 & 0.3421 & 0.366667 \tabularnewline
40 & 0.0951 & 0.7957 & 0.21446 \tabularnewline
41 & 0.079918 & 0.6686 & 0.252961 \tabularnewline
42 & -0.106928 & -0.8946 & 0.187026 \tabularnewline
43 & -0.004791 & -0.0401 & 0.484069 \tabularnewline
44 & 0.06886 & 0.5761 & 0.283188 \tabularnewline
45 & -0.015414 & -0.129 & 0.448878 \tabularnewline
46 & -0.108304 & -0.9061 & 0.183986 \tabularnewline
47 & -0.023075 & -0.1931 & 0.423735 \tabularnewline
48 & 0.026152 & 0.2188 & 0.41372 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=193242&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]-0.489514[/C][C]-4.0956[/C][C]5.6e-05[/C][/ROW]
[ROW][C]2[/C][C]-0.627207[/C][C]-5.2476[/C][C]1e-06[/C][/ROW]
[ROW][C]3[/C][C]-0.318298[/C][C]-2.6631[/C][C]0.0048[/C][/ROW]
[ROW][C]4[/C][C]-0.207439[/C][C]-1.7356[/C][C]0.043521[/C][/ROW]
[ROW][C]5[/C][C]-0.308788[/C][C]-2.5835[/C][C]0.005935[/C][/ROW]
[ROW][C]6[/C][C]-0.035604[/C][C]-0.2979[/C][C]0.383337[/C][/ROW]
[ROW][C]7[/C][C]-0.12984[/C][C]-1.0863[/C][C]0.140532[/C][/ROW]
[ROW][C]8[/C][C]-0.190208[/C][C]-1.5914[/C][C]0.058013[/C][/ROW]
[ROW][C]9[/C][C]0.12816[/C][C]1.0723[/C][C]0.143643[/C][/ROW]
[ROW][C]10[/C][C]-0.016454[/C][C]-0.1377[/C][C]0.445449[/C][/ROW]
[ROW][C]11[/C][C]-0.286781[/C][C]-2.3994[/C][C]0.009544[/C][/ROW]
[ROW][C]12[/C][C]-0.036613[/C][C]-0.3063[/C][C]0.380133[/C][/ROW]
[ROW][C]13[/C][C]0.189635[/C][C]1.5866[/C][C]0.058555[/C][/ROW]
[ROW][C]14[/C][C]0.054352[/C][C]0.4547[/C][C]0.325352[/C][/ROW]
[ROW][C]15[/C][C]0.043698[/C][C]0.3656[/C][C]0.357883[/C][/ROW]
[ROW][C]16[/C][C]0.026216[/C][C]0.2193[/C][C]0.413511[/C][/ROW]
[ROW][C]17[/C][C]-0.044477[/C][C]-0.3721[/C][C]0.355465[/C][/ROW]
[ROW][C]18[/C][C]0.123174[/C][C]1.0305[/C][C]0.15315[/C][/ROW]
[ROW][C]19[/C][C]-0.043199[/C][C]-0.3614[/C][C]0.359433[/C][/ROW]
[ROW][C]20[/C][C]-0.090679[/C][C]-0.7587[/C][C]0.225298[/C][/ROW]
[ROW][C]21[/C][C]0.007761[/C][C]0.0649[/C][C]0.474205[/C][/ROW]
[ROW][C]22[/C][C]0.091833[/C][C]0.7683[/C][C]0.222439[/C][/ROW]
[ROW][C]23[/C][C]-0.06886[/C][C]-0.5761[/C][C]0.283189[/C][/ROW]
[ROW][C]24[/C][C]-0.249456[/C][C]-2.0871[/C][C]0.020261[/C][/ROW]
[ROW][C]25[/C][C]0.126745[/C][C]1.0604[/C][C]0.146298[/C][/ROW]
[ROW][C]26[/C][C]-0.027903[/C][C]-0.2335[/C][C]0.408045[/C][/ROW]
[ROW][C]27[/C][C]0.154199[/C][C]1.2901[/C][C]0.100627[/C][/ROW]
[ROW][C]28[/C][C]-0.03554[/C][C]-0.2974[/C][C]0.38354[/C][/ROW]
[ROW][C]29[/C][C]0.036338[/C][C]0.304[/C][C]0.381004[/C][/ROW]
[ROW][C]30[/C][C]0.029552[/C][C]0.2472[/C][C]0.40272[/C][/ROW]
[ROW][C]31[/C][C]-0.06984[/C][C]-0.5843[/C][C]0.28044[/C][/ROW]
[ROW][C]32[/C][C]0.005909[/C][C]0.0494[/C][C]0.480354[/C][/ROW]
[ROW][C]33[/C][C]0.035483[/C][C]0.2969[/C][C]0.383722[/C][/ROW]
[ROW][C]34[/C][C]0.067468[/C][C]0.5645[/C][C]0.287116[/C][/ROW]
[ROW][C]35[/C][C]0.018883[/C][C]0.158[/C][C]0.43746[/C][/ROW]
[ROW][C]36[/C][C]-0.067846[/C][C]-0.5676[/C][C]0.286048[/C][/ROW]
[ROW][C]37[/C][C]-0.11241[/C][C]-0.9405[/C][C]0.1751[/C][/ROW]
[ROW][C]38[/C][C]-0.036758[/C][C]-0.3075[/C][C]0.379671[/C][/ROW]
[ROW][C]39[/C][C]0.040884[/C][C]0.3421[/C][C]0.366667[/C][/ROW]
[ROW][C]40[/C][C]0.0951[/C][C]0.7957[/C][C]0.21446[/C][/ROW]
[ROW][C]41[/C][C]0.079918[/C][C]0.6686[/C][C]0.252961[/C][/ROW]
[ROW][C]42[/C][C]-0.106928[/C][C]-0.8946[/C][C]0.187026[/C][/ROW]
[ROW][C]43[/C][C]-0.004791[/C][C]-0.0401[/C][C]0.484069[/C][/ROW]
[ROW][C]44[/C][C]0.06886[/C][C]0.5761[/C][C]0.283188[/C][/ROW]
[ROW][C]45[/C][C]-0.015414[/C][C]-0.129[/C][C]0.448878[/C][/ROW]
[ROW][C]46[/C][C]-0.108304[/C][C]-0.9061[/C][C]0.183986[/C][/ROW]
[ROW][C]47[/C][C]-0.023075[/C][C]-0.1931[/C][C]0.423735[/C][/ROW]
[ROW][C]48[/C][C]0.026152[/C][C]0.2188[/C][C]0.41372[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=193242&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=193242&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.489514-4.09565.6e-05
2-0.627207-5.24761e-06
3-0.318298-2.66310.0048
4-0.207439-1.73560.043521
5-0.308788-2.58350.005935
6-0.035604-0.29790.383337
7-0.12984-1.08630.140532
8-0.190208-1.59140.058013
90.128161.07230.143643
10-0.016454-0.13770.445449
11-0.286781-2.39940.009544
12-0.036613-0.30630.380133
130.1896351.58660.058555
140.0543520.45470.325352
150.0436980.36560.357883
160.0262160.21930.413511
17-0.044477-0.37210.355465
180.1231741.03050.15315
19-0.043199-0.36140.359433
20-0.090679-0.75870.225298
210.0077610.06490.474205
220.0918330.76830.222439
23-0.06886-0.57610.283189
24-0.249456-2.08710.020261
250.1267451.06040.146298
26-0.027903-0.23350.408045
270.1541991.29010.100627
28-0.03554-0.29740.38354
290.0363380.3040.381004
300.0295520.24720.40272
31-0.06984-0.58430.28044
320.0059090.04940.480354
330.0354830.29690.383722
340.0674680.56450.287116
350.0188830.1580.43746
36-0.067846-0.56760.286048
37-0.11241-0.94050.1751
38-0.036758-0.30750.379671
390.0408840.34210.366667
400.09510.79570.21446
410.0799180.66860.252961
42-0.106928-0.89460.187026
43-0.004791-0.04010.484069
440.068860.57610.283188
45-0.015414-0.1290.448878
46-0.108304-0.90610.183986
47-0.023075-0.19310.423735
480.0261520.21880.41372


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 2 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 2 ; 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')