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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 computationTue, 13 Dec 2011 12:38:01 -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/2011/Dec/13/t13237979012jnzn06t6t0rl0j.htm/, Retrieved Thu, 02 May 2024 21:06:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=154570, Retrieved Thu, 02 May 2024 21:06:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [ACF ] [2011-12-13 17:38:01] [2fa2d22b72a9c62ab85a23406d5dc0a0] [Current]
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Dataseries X:
9911
8915
9452
9112
8472
8230
8384
8625
8221
8649
8625
10443
10357
8586
8892
8329
8101
7922
8120
7838
7735
8406
8209
9451
10041
9411
10405
8467
8464
8102
7627
7513
7510
8291
8064
9383
9706
8579
9474
8318
8213
8059
9111
7708
7680
8014
8007
8718
9486
9113
9025
8476
7952
7759
7835
7600
7651
8319
8812
8630




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 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 & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154570&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=154570&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154570&T=0

As an alternative you can also use a QR Code:  

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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Herman Ole Andreas Wold' @ wold.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.5418244.1974.5e-05
20.321052.48680.007844
30.0348010.26960.394208
4-0.299251-2.3180.011938
5-0.427385-3.31050.00079
6-0.475716-3.68490.000247
7-0.37676-2.91840.002473
8-0.314266-2.43430.008957
90.0302210.23410.407857
100.2169411.68040.049038
110.3602682.79060.003522
120.6050494.68678e-06
130.37022.86760.00285
140.3018992.33850.011356
150.0973130.75380.226964
16-0.134519-1.0420.150801
17-0.29067-2.25150.014013
18-0.386646-2.99490.001992
19-0.371588-2.87830.002766
20-0.336292-2.60490.005785
21-0.070314-0.54470.294006
220.1274390.98710.163769
230.3056562.36760.010573
240.4807923.72420.000217
250.3028762.34610.011147
260.2169881.68080.049002
270.0032930.02550.489869
28-0.164577-1.27480.103645
29-0.259089-2.00690.024636
30-0.260874-2.02070.023889
31-0.219701-1.70180.046985
32-0.212088-1.64280.052825
33-0.05822-0.4510.326819
340.0135080.10460.458507
350.131731.02040.155824
360.2142811.65980.051085
370.1480981.14720.127934
380.1296491.00430.159644
390.0425640.32970.371388
40-0.040294-0.31210.378019
41-0.130951-1.01430.157245
42-0.125841-0.97480.166797
43-0.178877-1.38560.085503
44-0.162466-1.25850.106551
45-0.075167-0.58220.281294
460.0158030.12240.451491
470.070240.54410.294202
480.0773710.59930.275611
490.0309450.23970.40569
500.0023670.01830.492715
51-0.029623-0.22950.409645
52-0.063661-0.49310.311867
53-0.082025-0.63540.263803
54-0.068721-0.53230.298238
55-0.051134-0.39610.346726
56-0.032242-0.24970.401819
57-0.006349-0.04920.480469
580.0099620.07720.469373
590.0021790.01690.493294
60NANANA

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.541824 & 4.197 & 4.5e-05 \tabularnewline
2 & 0.32105 & 2.4868 & 0.007844 \tabularnewline
3 & 0.034801 & 0.2696 & 0.394208 \tabularnewline
4 & -0.299251 & -2.318 & 0.011938 \tabularnewline
5 & -0.427385 & -3.3105 & 0.00079 \tabularnewline
6 & -0.475716 & -3.6849 & 0.000247 \tabularnewline
7 & -0.37676 & -2.9184 & 0.002473 \tabularnewline
8 & -0.314266 & -2.4343 & 0.008957 \tabularnewline
9 & 0.030221 & 0.2341 & 0.407857 \tabularnewline
10 & 0.216941 & 1.6804 & 0.049038 \tabularnewline
11 & 0.360268 & 2.7906 & 0.003522 \tabularnewline
12 & 0.605049 & 4.6867 & 8e-06 \tabularnewline
13 & 0.3702 & 2.8676 & 0.00285 \tabularnewline
14 & 0.301899 & 2.3385 & 0.011356 \tabularnewline
15 & 0.097313 & 0.7538 & 0.226964 \tabularnewline
16 & -0.134519 & -1.042 & 0.150801 \tabularnewline
17 & -0.29067 & -2.2515 & 0.014013 \tabularnewline
18 & -0.386646 & -2.9949 & 0.001992 \tabularnewline
19 & -0.371588 & -2.8783 & 0.002766 \tabularnewline
20 & -0.336292 & -2.6049 & 0.005785 \tabularnewline
21 & -0.070314 & -0.5447 & 0.294006 \tabularnewline
22 & 0.127439 & 0.9871 & 0.163769 \tabularnewline
23 & 0.305656 & 2.3676 & 0.010573 \tabularnewline
24 & 0.480792 & 3.7242 & 0.000217 \tabularnewline
25 & 0.302876 & 2.3461 & 0.011147 \tabularnewline
26 & 0.216988 & 1.6808 & 0.049002 \tabularnewline
27 & 0.003293 & 0.0255 & 0.489869 \tabularnewline
28 & -0.164577 & -1.2748 & 0.103645 \tabularnewline
29 & -0.259089 & -2.0069 & 0.024636 \tabularnewline
30 & -0.260874 & -2.0207 & 0.023889 \tabularnewline
31 & -0.219701 & -1.7018 & 0.046985 \tabularnewline
32 & -0.212088 & -1.6428 & 0.052825 \tabularnewline
33 & -0.05822 & -0.451 & 0.326819 \tabularnewline
34 & 0.013508 & 0.1046 & 0.458507 \tabularnewline
35 & 0.13173 & 1.0204 & 0.155824 \tabularnewline
36 & 0.214281 & 1.6598 & 0.051085 \tabularnewline
37 & 0.148098 & 1.1472 & 0.127934 \tabularnewline
38 & 0.129649 & 1.0043 & 0.159644 \tabularnewline
39 & 0.042564 & 0.3297 & 0.371388 \tabularnewline
40 & -0.040294 & -0.3121 & 0.378019 \tabularnewline
41 & -0.130951 & -1.0143 & 0.157245 \tabularnewline
42 & -0.125841 & -0.9748 & 0.166797 \tabularnewline
43 & -0.178877 & -1.3856 & 0.085503 \tabularnewline
44 & -0.162466 & -1.2585 & 0.106551 \tabularnewline
45 & -0.075167 & -0.5822 & 0.281294 \tabularnewline
46 & 0.015803 & 0.1224 & 0.451491 \tabularnewline
47 & 0.07024 & 0.5441 & 0.294202 \tabularnewline
48 & 0.077371 & 0.5993 & 0.275611 \tabularnewline
49 & 0.030945 & 0.2397 & 0.40569 \tabularnewline
50 & 0.002367 & 0.0183 & 0.492715 \tabularnewline
51 & -0.029623 & -0.2295 & 0.409645 \tabularnewline
52 & -0.063661 & -0.4931 & 0.311867 \tabularnewline
53 & -0.082025 & -0.6354 & 0.263803 \tabularnewline
54 & -0.068721 & -0.5323 & 0.298238 \tabularnewline
55 & -0.051134 & -0.3961 & 0.346726 \tabularnewline
56 & -0.032242 & -0.2497 & 0.401819 \tabularnewline
57 & -0.006349 & -0.0492 & 0.480469 \tabularnewline
58 & 0.009962 & 0.0772 & 0.469373 \tabularnewline
59 & 0.002179 & 0.0169 & 0.493294 \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154570&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]0.541824[/C][C]4.197[/C][C]4.5e-05[/C][/ROW]
[ROW][C]2[/C][C]0.32105[/C][C]2.4868[/C][C]0.007844[/C][/ROW]
[ROW][C]3[/C][C]0.034801[/C][C]0.2696[/C][C]0.394208[/C][/ROW]
[ROW][C]4[/C][C]-0.299251[/C][C]-2.318[/C][C]0.011938[/C][/ROW]
[ROW][C]5[/C][C]-0.427385[/C][C]-3.3105[/C][C]0.00079[/C][/ROW]
[ROW][C]6[/C][C]-0.475716[/C][C]-3.6849[/C][C]0.000247[/C][/ROW]
[ROW][C]7[/C][C]-0.37676[/C][C]-2.9184[/C][C]0.002473[/C][/ROW]
[ROW][C]8[/C][C]-0.314266[/C][C]-2.4343[/C][C]0.008957[/C][/ROW]
[ROW][C]9[/C][C]0.030221[/C][C]0.2341[/C][C]0.407857[/C][/ROW]
[ROW][C]10[/C][C]0.216941[/C][C]1.6804[/C][C]0.049038[/C][/ROW]
[ROW][C]11[/C][C]0.360268[/C][C]2.7906[/C][C]0.003522[/C][/ROW]
[ROW][C]12[/C][C]0.605049[/C][C]4.6867[/C][C]8e-06[/C][/ROW]
[ROW][C]13[/C][C]0.3702[/C][C]2.8676[/C][C]0.00285[/C][/ROW]
[ROW][C]14[/C][C]0.301899[/C][C]2.3385[/C][C]0.011356[/C][/ROW]
[ROW][C]15[/C][C]0.097313[/C][C]0.7538[/C][C]0.226964[/C][/ROW]
[ROW][C]16[/C][C]-0.134519[/C][C]-1.042[/C][C]0.150801[/C][/ROW]
[ROW][C]17[/C][C]-0.29067[/C][C]-2.2515[/C][C]0.014013[/C][/ROW]
[ROW][C]18[/C][C]-0.386646[/C][C]-2.9949[/C][C]0.001992[/C][/ROW]
[ROW][C]19[/C][C]-0.371588[/C][C]-2.8783[/C][C]0.002766[/C][/ROW]
[ROW][C]20[/C][C]-0.336292[/C][C]-2.6049[/C][C]0.005785[/C][/ROW]
[ROW][C]21[/C][C]-0.070314[/C][C]-0.5447[/C][C]0.294006[/C][/ROW]
[ROW][C]22[/C][C]0.127439[/C][C]0.9871[/C][C]0.163769[/C][/ROW]
[ROW][C]23[/C][C]0.305656[/C][C]2.3676[/C][C]0.010573[/C][/ROW]
[ROW][C]24[/C][C]0.480792[/C][C]3.7242[/C][C]0.000217[/C][/ROW]
[ROW][C]25[/C][C]0.302876[/C][C]2.3461[/C][C]0.011147[/C][/ROW]
[ROW][C]26[/C][C]0.216988[/C][C]1.6808[/C][C]0.049002[/C][/ROW]
[ROW][C]27[/C][C]0.003293[/C][C]0.0255[/C][C]0.489869[/C][/ROW]
[ROW][C]28[/C][C]-0.164577[/C][C]-1.2748[/C][C]0.103645[/C][/ROW]
[ROW][C]29[/C][C]-0.259089[/C][C]-2.0069[/C][C]0.024636[/C][/ROW]
[ROW][C]30[/C][C]-0.260874[/C][C]-2.0207[/C][C]0.023889[/C][/ROW]
[ROW][C]31[/C][C]-0.219701[/C][C]-1.7018[/C][C]0.046985[/C][/ROW]
[ROW][C]32[/C][C]-0.212088[/C][C]-1.6428[/C][C]0.052825[/C][/ROW]
[ROW][C]33[/C][C]-0.05822[/C][C]-0.451[/C][C]0.326819[/C][/ROW]
[ROW][C]34[/C][C]0.013508[/C][C]0.1046[/C][C]0.458507[/C][/ROW]
[ROW][C]35[/C][C]0.13173[/C][C]1.0204[/C][C]0.155824[/C][/ROW]
[ROW][C]36[/C][C]0.214281[/C][C]1.6598[/C][C]0.051085[/C][/ROW]
[ROW][C]37[/C][C]0.148098[/C][C]1.1472[/C][C]0.127934[/C][/ROW]
[ROW][C]38[/C][C]0.129649[/C][C]1.0043[/C][C]0.159644[/C][/ROW]
[ROW][C]39[/C][C]0.042564[/C][C]0.3297[/C][C]0.371388[/C][/ROW]
[ROW][C]40[/C][C]-0.040294[/C][C]-0.3121[/C][C]0.378019[/C][/ROW]
[ROW][C]41[/C][C]-0.130951[/C][C]-1.0143[/C][C]0.157245[/C][/ROW]
[ROW][C]42[/C][C]-0.125841[/C][C]-0.9748[/C][C]0.166797[/C][/ROW]
[ROW][C]43[/C][C]-0.178877[/C][C]-1.3856[/C][C]0.085503[/C][/ROW]
[ROW][C]44[/C][C]-0.162466[/C][C]-1.2585[/C][C]0.106551[/C][/ROW]
[ROW][C]45[/C][C]-0.075167[/C][C]-0.5822[/C][C]0.281294[/C][/ROW]
[ROW][C]46[/C][C]0.015803[/C][C]0.1224[/C][C]0.451491[/C][/ROW]
[ROW][C]47[/C][C]0.07024[/C][C]0.5441[/C][C]0.294202[/C][/ROW]
[ROW][C]48[/C][C]0.077371[/C][C]0.5993[/C][C]0.275611[/C][/ROW]
[ROW][C]49[/C][C]0.030945[/C][C]0.2397[/C][C]0.40569[/C][/ROW]
[ROW][C]50[/C][C]0.002367[/C][C]0.0183[/C][C]0.492715[/C][/ROW]
[ROW][C]51[/C][C]-0.029623[/C][C]-0.2295[/C][C]0.409645[/C][/ROW]
[ROW][C]52[/C][C]-0.063661[/C][C]-0.4931[/C][C]0.311867[/C][/ROW]
[ROW][C]53[/C][C]-0.082025[/C][C]-0.6354[/C][C]0.263803[/C][/ROW]
[ROW][C]54[/C][C]-0.068721[/C][C]-0.5323[/C][C]0.298238[/C][/ROW]
[ROW][C]55[/C][C]-0.051134[/C][C]-0.3961[/C][C]0.346726[/C][/ROW]
[ROW][C]56[/C][C]-0.032242[/C][C]-0.2497[/C][C]0.401819[/C][/ROW]
[ROW][C]57[/C][C]-0.006349[/C][C]-0.0492[/C][C]0.480469[/C][/ROW]
[ROW][C]58[/C][C]0.009962[/C][C]0.0772[/C][C]0.469373[/C][/ROW]
[ROW][C]59[/C][C]0.002179[/C][C]0.0169[/C][C]0.493294[/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=154570&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154570&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
10.5418244.1974.5e-05
20.321052.48680.007844
30.0348010.26960.394208
4-0.299251-2.3180.011938
5-0.427385-3.31050.00079
6-0.475716-3.68490.000247
7-0.37676-2.91840.002473
8-0.314266-2.43430.008957
90.0302210.23410.407857
100.2169411.68040.049038
110.3602682.79060.003522
120.6050494.68678e-06
130.37022.86760.00285
140.3018992.33850.011356
150.0973130.75380.226964
16-0.134519-1.0420.150801
17-0.29067-2.25150.014013
18-0.386646-2.99490.001992
19-0.371588-2.87830.002766
20-0.336292-2.60490.005785
21-0.070314-0.54470.294006
220.1274390.98710.163769
230.3056562.36760.010573
240.4807923.72420.000217
250.3028762.34610.011147
260.2169881.68080.049002
270.0032930.02550.489869
28-0.164577-1.27480.103645
29-0.259089-2.00690.024636
30-0.260874-2.02070.023889
31-0.219701-1.70180.046985
32-0.212088-1.64280.052825
33-0.05822-0.4510.326819
340.0135080.10460.458507
350.131731.02040.155824
360.2142811.65980.051085
370.1480981.14720.127934
380.1296491.00430.159644
390.0425640.32970.371388
40-0.040294-0.31210.378019
41-0.130951-1.01430.157245
42-0.125841-0.97480.166797
43-0.178877-1.38560.085503
44-0.162466-1.25850.106551
45-0.075167-0.58220.281294
460.0158030.12240.451491
470.070240.54410.294202
480.0773710.59930.275611
490.0309450.23970.40569
500.0023670.01830.492715
51-0.029623-0.22950.409645
52-0.063661-0.49310.311867
53-0.082025-0.63540.263803
54-0.068721-0.53230.298238
55-0.051134-0.39610.346726
56-0.032242-0.24970.401819
57-0.006349-0.04920.480469
580.0099620.07720.469373
590.0021790.01690.493294
60NANANA







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.5418244.1974.5e-05
20.0388950.30130.382122
3-0.217563-1.68520.048569
4-0.370029-2.86620.00286
5-0.160174-1.24070.109773
6-0.116476-0.90220.185273
7-0.025439-0.19710.422227
8-0.221641-1.71680.045585
90.2231761.72870.044502
100.0754010.58410.280686
110.071450.55350.291006
120.3484152.69880.004513
13-0.182277-1.41190.081571
140.1584011.2270.112313
150.07560.58560.280172
160.0014030.01090.495682
170.0273940.21220.416336
18-0.064565-0.50010.309412
19-0.071325-0.55250.291335
200.0243390.18850.425549
21-0.052187-0.40420.343736
220.1380241.06910.144648
230.0532780.41270.340653
240.0036490.02830.488774
25-0.132784-1.02850.153913
26-0.097448-0.75480.226652
27-0.079502-0.61580.270171
280.0128540.09960.46051
290.0267660.20730.418227
300.1342461.03990.151288
310.0148850.11530.454297
32-0.087979-0.68150.249094
33-0.106904-0.82810.205455
34-0.101252-0.78430.217977
350.0041340.0320.487279
36-0.081261-0.62940.265723
37-0.0115-0.08910.464658
38-0.029432-0.2280.410219
390.0433390.33570.369133
40-0.023869-0.18490.426969
41-0.026853-0.2080.417966
420.0721690.5590.289116
43-0.051843-0.40160.344711
440.0268390.20790.418008
45-0.055605-0.43070.334108
460.0644220.4990.309798
47-0.085146-0.65950.256036
48-0.110639-0.8570.197426
49-0.043494-0.33690.368682
500.0607350.47050.319868
51-0.009444-0.07320.470965
52-0.039445-0.30550.380506
53-0.11431-0.88540.189727
54-0.11674-0.90430.184735
550.0589050.45630.32492
56-0.032931-0.25510.399766
570.0439640.34050.36732
58-0.007913-0.06130.475666
59-0.010402-0.08060.468025
60NANANA

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.541824 & 4.197 & 4.5e-05 \tabularnewline
2 & 0.038895 & 0.3013 & 0.382122 \tabularnewline
3 & -0.217563 & -1.6852 & 0.048569 \tabularnewline
4 & -0.370029 & -2.8662 & 0.00286 \tabularnewline
5 & -0.160174 & -1.2407 & 0.109773 \tabularnewline
6 & -0.116476 & -0.9022 & 0.185273 \tabularnewline
7 & -0.025439 & -0.1971 & 0.422227 \tabularnewline
8 & -0.221641 & -1.7168 & 0.045585 \tabularnewline
9 & 0.223176 & 1.7287 & 0.044502 \tabularnewline
10 & 0.075401 & 0.5841 & 0.280686 \tabularnewline
11 & 0.07145 & 0.5535 & 0.291006 \tabularnewline
12 & 0.348415 & 2.6988 & 0.004513 \tabularnewline
13 & -0.182277 & -1.4119 & 0.081571 \tabularnewline
14 & 0.158401 & 1.227 & 0.112313 \tabularnewline
15 & 0.0756 & 0.5856 & 0.280172 \tabularnewline
16 & 0.001403 & 0.0109 & 0.495682 \tabularnewline
17 & 0.027394 & 0.2122 & 0.416336 \tabularnewline
18 & -0.064565 & -0.5001 & 0.309412 \tabularnewline
19 & -0.071325 & -0.5525 & 0.291335 \tabularnewline
20 & 0.024339 & 0.1885 & 0.425549 \tabularnewline
21 & -0.052187 & -0.4042 & 0.343736 \tabularnewline
22 & 0.138024 & 1.0691 & 0.144648 \tabularnewline
23 & 0.053278 & 0.4127 & 0.340653 \tabularnewline
24 & 0.003649 & 0.0283 & 0.488774 \tabularnewline
25 & -0.132784 & -1.0285 & 0.153913 \tabularnewline
26 & -0.097448 & -0.7548 & 0.226652 \tabularnewline
27 & -0.079502 & -0.6158 & 0.270171 \tabularnewline
28 & 0.012854 & 0.0996 & 0.46051 \tabularnewline
29 & 0.026766 & 0.2073 & 0.418227 \tabularnewline
30 & 0.134246 & 1.0399 & 0.151288 \tabularnewline
31 & 0.014885 & 0.1153 & 0.454297 \tabularnewline
32 & -0.087979 & -0.6815 & 0.249094 \tabularnewline
33 & -0.106904 & -0.8281 & 0.205455 \tabularnewline
34 & -0.101252 & -0.7843 & 0.217977 \tabularnewline
35 & 0.004134 & 0.032 & 0.487279 \tabularnewline
36 & -0.081261 & -0.6294 & 0.265723 \tabularnewline
37 & -0.0115 & -0.0891 & 0.464658 \tabularnewline
38 & -0.029432 & -0.228 & 0.410219 \tabularnewline
39 & 0.043339 & 0.3357 & 0.369133 \tabularnewline
40 & -0.023869 & -0.1849 & 0.426969 \tabularnewline
41 & -0.026853 & -0.208 & 0.417966 \tabularnewline
42 & 0.072169 & 0.559 & 0.289116 \tabularnewline
43 & -0.051843 & -0.4016 & 0.344711 \tabularnewline
44 & 0.026839 & 0.2079 & 0.418008 \tabularnewline
45 & -0.055605 & -0.4307 & 0.334108 \tabularnewline
46 & 0.064422 & 0.499 & 0.309798 \tabularnewline
47 & -0.085146 & -0.6595 & 0.256036 \tabularnewline
48 & -0.110639 & -0.857 & 0.197426 \tabularnewline
49 & -0.043494 & -0.3369 & 0.368682 \tabularnewline
50 & 0.060735 & 0.4705 & 0.319868 \tabularnewline
51 & -0.009444 & -0.0732 & 0.470965 \tabularnewline
52 & -0.039445 & -0.3055 & 0.380506 \tabularnewline
53 & -0.11431 & -0.8854 & 0.189727 \tabularnewline
54 & -0.11674 & -0.9043 & 0.184735 \tabularnewline
55 & 0.058905 & 0.4563 & 0.32492 \tabularnewline
56 & -0.032931 & -0.2551 & 0.399766 \tabularnewline
57 & 0.043964 & 0.3405 & 0.36732 \tabularnewline
58 & -0.007913 & -0.0613 & 0.475666 \tabularnewline
59 & -0.010402 & -0.0806 & 0.468025 \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=154570&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]0.541824[/C][C]4.197[/C][C]4.5e-05[/C][/ROW]
[ROW][C]2[/C][C]0.038895[/C][C]0.3013[/C][C]0.382122[/C][/ROW]
[ROW][C]3[/C][C]-0.217563[/C][C]-1.6852[/C][C]0.048569[/C][/ROW]
[ROW][C]4[/C][C]-0.370029[/C][C]-2.8662[/C][C]0.00286[/C][/ROW]
[ROW][C]5[/C][C]-0.160174[/C][C]-1.2407[/C][C]0.109773[/C][/ROW]
[ROW][C]6[/C][C]-0.116476[/C][C]-0.9022[/C][C]0.185273[/C][/ROW]
[ROW][C]7[/C][C]-0.025439[/C][C]-0.1971[/C][C]0.422227[/C][/ROW]
[ROW][C]8[/C][C]-0.221641[/C][C]-1.7168[/C][C]0.045585[/C][/ROW]
[ROW][C]9[/C][C]0.223176[/C][C]1.7287[/C][C]0.044502[/C][/ROW]
[ROW][C]10[/C][C]0.075401[/C][C]0.5841[/C][C]0.280686[/C][/ROW]
[ROW][C]11[/C][C]0.07145[/C][C]0.5535[/C][C]0.291006[/C][/ROW]
[ROW][C]12[/C][C]0.348415[/C][C]2.6988[/C][C]0.004513[/C][/ROW]
[ROW][C]13[/C][C]-0.182277[/C][C]-1.4119[/C][C]0.081571[/C][/ROW]
[ROW][C]14[/C][C]0.158401[/C][C]1.227[/C][C]0.112313[/C][/ROW]
[ROW][C]15[/C][C]0.0756[/C][C]0.5856[/C][C]0.280172[/C][/ROW]
[ROW][C]16[/C][C]0.001403[/C][C]0.0109[/C][C]0.495682[/C][/ROW]
[ROW][C]17[/C][C]0.027394[/C][C]0.2122[/C][C]0.416336[/C][/ROW]
[ROW][C]18[/C][C]-0.064565[/C][C]-0.5001[/C][C]0.309412[/C][/ROW]
[ROW][C]19[/C][C]-0.071325[/C][C]-0.5525[/C][C]0.291335[/C][/ROW]
[ROW][C]20[/C][C]0.024339[/C][C]0.1885[/C][C]0.425549[/C][/ROW]
[ROW][C]21[/C][C]-0.052187[/C][C]-0.4042[/C][C]0.343736[/C][/ROW]
[ROW][C]22[/C][C]0.138024[/C][C]1.0691[/C][C]0.144648[/C][/ROW]
[ROW][C]23[/C][C]0.053278[/C][C]0.4127[/C][C]0.340653[/C][/ROW]
[ROW][C]24[/C][C]0.003649[/C][C]0.0283[/C][C]0.488774[/C][/ROW]
[ROW][C]25[/C][C]-0.132784[/C][C]-1.0285[/C][C]0.153913[/C][/ROW]
[ROW][C]26[/C][C]-0.097448[/C][C]-0.7548[/C][C]0.226652[/C][/ROW]
[ROW][C]27[/C][C]-0.079502[/C][C]-0.6158[/C][C]0.270171[/C][/ROW]
[ROW][C]28[/C][C]0.012854[/C][C]0.0996[/C][C]0.46051[/C][/ROW]
[ROW][C]29[/C][C]0.026766[/C][C]0.2073[/C][C]0.418227[/C][/ROW]
[ROW][C]30[/C][C]0.134246[/C][C]1.0399[/C][C]0.151288[/C][/ROW]
[ROW][C]31[/C][C]0.014885[/C][C]0.1153[/C][C]0.454297[/C][/ROW]
[ROW][C]32[/C][C]-0.087979[/C][C]-0.6815[/C][C]0.249094[/C][/ROW]
[ROW][C]33[/C][C]-0.106904[/C][C]-0.8281[/C][C]0.205455[/C][/ROW]
[ROW][C]34[/C][C]-0.101252[/C][C]-0.7843[/C][C]0.217977[/C][/ROW]
[ROW][C]35[/C][C]0.004134[/C][C]0.032[/C][C]0.487279[/C][/ROW]
[ROW][C]36[/C][C]-0.081261[/C][C]-0.6294[/C][C]0.265723[/C][/ROW]
[ROW][C]37[/C][C]-0.0115[/C][C]-0.0891[/C][C]0.464658[/C][/ROW]
[ROW][C]38[/C][C]-0.029432[/C][C]-0.228[/C][C]0.410219[/C][/ROW]
[ROW][C]39[/C][C]0.043339[/C][C]0.3357[/C][C]0.369133[/C][/ROW]
[ROW][C]40[/C][C]-0.023869[/C][C]-0.1849[/C][C]0.426969[/C][/ROW]
[ROW][C]41[/C][C]-0.026853[/C][C]-0.208[/C][C]0.417966[/C][/ROW]
[ROW][C]42[/C][C]0.072169[/C][C]0.559[/C][C]0.289116[/C][/ROW]
[ROW][C]43[/C][C]-0.051843[/C][C]-0.4016[/C][C]0.344711[/C][/ROW]
[ROW][C]44[/C][C]0.026839[/C][C]0.2079[/C][C]0.418008[/C][/ROW]
[ROW][C]45[/C][C]-0.055605[/C][C]-0.4307[/C][C]0.334108[/C][/ROW]
[ROW][C]46[/C][C]0.064422[/C][C]0.499[/C][C]0.309798[/C][/ROW]
[ROW][C]47[/C][C]-0.085146[/C][C]-0.6595[/C][C]0.256036[/C][/ROW]
[ROW][C]48[/C][C]-0.110639[/C][C]-0.857[/C][C]0.197426[/C][/ROW]
[ROW][C]49[/C][C]-0.043494[/C][C]-0.3369[/C][C]0.368682[/C][/ROW]
[ROW][C]50[/C][C]0.060735[/C][C]0.4705[/C][C]0.319868[/C][/ROW]
[ROW][C]51[/C][C]-0.009444[/C][C]-0.0732[/C][C]0.470965[/C][/ROW]
[ROW][C]52[/C][C]-0.039445[/C][C]-0.3055[/C][C]0.380506[/C][/ROW]
[ROW][C]53[/C][C]-0.11431[/C][C]-0.8854[/C][C]0.189727[/C][/ROW]
[ROW][C]54[/C][C]-0.11674[/C][C]-0.9043[/C][C]0.184735[/C][/ROW]
[ROW][C]55[/C][C]0.058905[/C][C]0.4563[/C][C]0.32492[/C][/ROW]
[ROW][C]56[/C][C]-0.032931[/C][C]-0.2551[/C][C]0.399766[/C][/ROW]
[ROW][C]57[/C][C]0.043964[/C][C]0.3405[/C][C]0.36732[/C][/ROW]
[ROW][C]58[/C][C]-0.007913[/C][C]-0.0613[/C][C]0.475666[/C][/ROW]
[ROW][C]59[/C][C]-0.010402[/C][C]-0.0806[/C][C]0.468025[/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=154570&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=154570&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
10.5418244.1974.5e-05
20.0388950.30130.382122
3-0.217563-1.68520.048569
4-0.370029-2.86620.00286
5-0.160174-1.24070.109773
6-0.116476-0.90220.185273
7-0.025439-0.19710.422227
8-0.221641-1.71680.045585
90.2231761.72870.044502
100.0754010.58410.280686
110.071450.55350.291006
120.3484152.69880.004513
13-0.182277-1.41190.081571
140.1584011.2270.112313
150.07560.58560.280172
160.0014030.01090.495682
170.0273940.21220.416336
18-0.064565-0.50010.309412
19-0.071325-0.55250.291335
200.0243390.18850.425549
21-0.052187-0.40420.343736
220.1380241.06910.144648
230.0532780.41270.340653
240.0036490.02830.488774
25-0.132784-1.02850.153913
26-0.097448-0.75480.226652
27-0.079502-0.61580.270171
280.0128540.09960.46051
290.0267660.20730.418227
300.1342461.03990.151288
310.0148850.11530.454297
32-0.087979-0.68150.249094
33-0.106904-0.82810.205455
34-0.101252-0.78430.217977
350.0041340.0320.487279
36-0.081261-0.62940.265723
37-0.0115-0.08910.464658
38-0.029432-0.2280.410219
390.0433390.33570.369133
40-0.023869-0.18490.426969
41-0.026853-0.2080.417966
420.0721690.5590.289116
43-0.051843-0.40160.344711
440.0268390.20790.418008
45-0.055605-0.43070.334108
460.0644220.4990.309798
47-0.085146-0.65950.256036
48-0.110639-0.8570.197426
49-0.043494-0.33690.368682
500.0607350.47050.319868
51-0.009444-0.07320.470965
52-0.039445-0.30550.380506
53-0.11431-0.88540.189727
54-0.11674-0.90430.184735
550.0589050.45630.32492
56-0.032931-0.25510.399766
570.0439640.34050.36732
58-0.007913-0.06130.475666
59-0.010402-0.08060.468025
60NANANA



Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = ;
R code (references can be found in the software module):
if (par1 == 'Default') {
par1 = 10*log10(length(x))
} else {
par1 <- as.numeric(par1)
}
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
par7 <- as.numeric(par7)
if (par8 != '') par8 <- as.numeric(par8)
ox <- x
if (par8 == '') {
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
} else {
x <- log(x,base=par8)
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='picts.png')
op <- par(mfrow=c(2,1))
plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
if (par8=='') {
mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
} else {
mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
}
plot(x,type='l', main=mytitle,xlab='time',ylab='value')
par(op)
dev.off()
bitmap(file='pic1.png')
racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 2:(par1+1)) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')