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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, 20 Dec 2011 10:27:59 -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/20/t1324394899krj6kbdxcsxwq62.htm/, Retrieved Fri, 29 Mar 2024 09:27:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=157994, Retrieved Fri, 29 Mar 2024 09:27:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact197
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Linear Regression Graphical Model Validation] [Colombia Coffee -...] [2008-02-26 10:22:06] [74be16979710d4c4e7c6647856088456]
- RM D  [Linear Regression Graphical Model Validation] [Regressiemodel 1] [2010-11-06 16:54:19] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- RMPD    [(Partial) Autocorrelation Function] [Autocorrelatiefun...] [2010-12-10 14:34:45] [97ad38b1c3b35a5feca8b85f7bc7b3ff]
- R P         [(Partial) Autocorrelation Function] [Paper - autocorre...] [2011-12-20 15:27:59] [7b8bbc7c94419fec22ed12e329cf3750] [Current]
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Dataseries X:
1149822
1086979
1276674
1522522
1742117
1737275
1979900
2061036
1867943
1707752
1298756
1281814
1281151
1164976
1454329
1645288
1817743
1895785
2236311
2295951
2087315
1980891
1465446
1445026
1488120
1338333
1715789
1806090
2083316
2092278
2430800
2424894
2299016
2130688
1652221
1608162
1647074
1479691
1884978
2007898
2208954
2217164
2534291
2560312
2429069
2315077
1799608
1772590
1744799
1659093
2099821
2135736
2427894
2468882
2703217
2766841
2655236
2550373
2052097
1998055
1920748
1876694
2380930
2467402
2770771
2781340
3143926
3172235
2952540
2920877
2384552
2248987
2208616
2178756
2632870
2706905
3029745
3015402
3391414
3507805
3177852
3142961
2545815
2414007
2372578
2332664
2825328
2901478
3263955
3226738
3610786
3709274
3467185
3449646
2802951
2462530
2490645
2561520
3067554
3226951
3546493
3492787
3952263
3932072
3720284
3651555
2914972
2713514
2703997
2591373
3163748
3355137
3613702
3686773
4098716
4063517
3551489
3226663
2656842
2597484
2572399
2596631
3165225
3303145
3698247
3668631
4130433
4131400
3864358
3721110
2892532
2843451
2747502
2668775
3018602
3013392
3393657
3544233
4075832
4032923
3734509
3761285
2970090
2847849
2741680
2830639
3257673
3480085
3843271
3796961
4337767
4243630
3927202
3915296
3087396
2963792
2955792
2829925
3281195
3548011
4059648
3941175
4528594
4433151
4145737
4077132
3198519
3078660
3028202
2858642
3398954
3808883
4175961
4227542
4744616
4608012
4295049
4201144
3353276
3286851
3169889
3051720
3695426
3905501
4296458
4246247
4921849
4821446
4425064
4379099
3472889
3359160
3200944
3153170
3741498
3918719
4403449
4400407
4847473
4716136
4297440
4272253
3271834
3168388
2911748
2720999
3199918
3672623
3892013
3850845
4532467
4484739
4014972
3983758
3158459
3100569
2935404
2855719
3465611
3006985
4095110
4104793
4730788
4642726
4246919
4308117




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157994&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157994&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157994&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'Gertrude Mary Cox' @ cox.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.92064613.84030
20.82132112.34720
30.67837810.19830
40.5331328.01470
50.4488566.74780
60.3944735.93020
70.4338996.52290
80.5023527.5520
90.6276719.4360
100.74745211.23670
110.82158512.35110
120.87088613.09230
130.80180312.05370
140.70781510.64080
150.5734858.62140
160.4347666.5360
170.3535295.31470
180.3018684.53815e-06
190.3352255.03950
200.4005926.02220
210.5199157.8160
220.6333839.52180
230.70241510.55960
240.74879711.25690
250.68211210.25440
260.5931858.91750
270.4660487.00620
280.3346065.03020
290.2556733.84367.9e-05
300.204213.06990.001202
310.234513.52550.000256
320.2924674.39678e-06
330.4017586.03970
340.5066717.61690
350.5692988.55840
360.6098459.1680
370.5454618.20010
380.4599216.91410
390.3393485.10150
400.2161653.24970.000666
410.1415322.12770.017223
420.0926591.3930.082498
430.1194731.79610.036909
440.1725052.59330.005063
450.2744244.12552.6e-05
460.3712485.58110
470.429586.4580
480.466727.01630
490.4072826.12280
500.3265834.90961e-06
510.2133453.20730.000767
520.0978721.47130.071296
530.0275560.41430.339539
54-0.016771-0.25210.400589
550.0086380.12990.448396
560.0587550.88330.189012
570.1545882.3240.010507
580.2456463.69290.000139
590.2996284.50445e-06
600.3350495.03690

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.920646 & 13.8403 & 0 \tabularnewline
2 & 0.821321 & 12.3472 & 0 \tabularnewline
3 & 0.678378 & 10.1983 & 0 \tabularnewline
4 & 0.533132 & 8.0147 & 0 \tabularnewline
5 & 0.448856 & 6.7478 & 0 \tabularnewline
6 & 0.394473 & 5.9302 & 0 \tabularnewline
7 & 0.433899 & 6.5229 & 0 \tabularnewline
8 & 0.502352 & 7.552 & 0 \tabularnewline
9 & 0.627671 & 9.436 & 0 \tabularnewline
10 & 0.747452 & 11.2367 & 0 \tabularnewline
11 & 0.821585 & 12.3511 & 0 \tabularnewline
12 & 0.870886 & 13.0923 & 0 \tabularnewline
13 & 0.801803 & 12.0537 & 0 \tabularnewline
14 & 0.707815 & 10.6408 & 0 \tabularnewline
15 & 0.573485 & 8.6214 & 0 \tabularnewline
16 & 0.434766 & 6.536 & 0 \tabularnewline
17 & 0.353529 & 5.3147 & 0 \tabularnewline
18 & 0.301868 & 4.5381 & 5e-06 \tabularnewline
19 & 0.335225 & 5.0395 & 0 \tabularnewline
20 & 0.400592 & 6.0222 & 0 \tabularnewline
21 & 0.519915 & 7.816 & 0 \tabularnewline
22 & 0.633383 & 9.5218 & 0 \tabularnewline
23 & 0.702415 & 10.5596 & 0 \tabularnewline
24 & 0.748797 & 11.2569 & 0 \tabularnewline
25 & 0.682112 & 10.2544 & 0 \tabularnewline
26 & 0.593185 & 8.9175 & 0 \tabularnewline
27 & 0.466048 & 7.0062 & 0 \tabularnewline
28 & 0.334606 & 5.0302 & 0 \tabularnewline
29 & 0.255673 & 3.8436 & 7.9e-05 \tabularnewline
30 & 0.20421 & 3.0699 & 0.001202 \tabularnewline
31 & 0.23451 & 3.5255 & 0.000256 \tabularnewline
32 & 0.292467 & 4.3967 & 8e-06 \tabularnewline
33 & 0.401758 & 6.0397 & 0 \tabularnewline
34 & 0.506671 & 7.6169 & 0 \tabularnewline
35 & 0.569298 & 8.5584 & 0 \tabularnewline
36 & 0.609845 & 9.168 & 0 \tabularnewline
37 & 0.545461 & 8.2001 & 0 \tabularnewline
38 & 0.459921 & 6.9141 & 0 \tabularnewline
39 & 0.339348 & 5.1015 & 0 \tabularnewline
40 & 0.216165 & 3.2497 & 0.000666 \tabularnewline
41 & 0.141532 & 2.1277 & 0.017223 \tabularnewline
42 & 0.092659 & 1.393 & 0.082498 \tabularnewline
43 & 0.119473 & 1.7961 & 0.036909 \tabularnewline
44 & 0.172505 & 2.5933 & 0.005063 \tabularnewline
45 & 0.274424 & 4.1255 & 2.6e-05 \tabularnewline
46 & 0.371248 & 5.5811 & 0 \tabularnewline
47 & 0.42958 & 6.458 & 0 \tabularnewline
48 & 0.46672 & 7.0163 & 0 \tabularnewline
49 & 0.407282 & 6.1228 & 0 \tabularnewline
50 & 0.326583 & 4.9096 & 1e-06 \tabularnewline
51 & 0.213345 & 3.2073 & 0.000767 \tabularnewline
52 & 0.097872 & 1.4713 & 0.071296 \tabularnewline
53 & 0.027556 & 0.4143 & 0.339539 \tabularnewline
54 & -0.016771 & -0.2521 & 0.400589 \tabularnewline
55 & 0.008638 & 0.1299 & 0.448396 \tabularnewline
56 & 0.058755 & 0.8833 & 0.189012 \tabularnewline
57 & 0.154588 & 2.324 & 0.010507 \tabularnewline
58 & 0.245646 & 3.6929 & 0.000139 \tabularnewline
59 & 0.299628 & 4.5044 & 5e-06 \tabularnewline
60 & 0.335049 & 5.0369 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157994&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]0.920646[/C][C]13.8403[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.821321[/C][C]12.3472[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.678378[/C][C]10.1983[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.533132[/C][C]8.0147[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.448856[/C][C]6.7478[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.394473[/C][C]5.9302[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.433899[/C][C]6.5229[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.502352[/C][C]7.552[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.627671[/C][C]9.436[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.747452[/C][C]11.2367[/C][C]0[/C][/ROW]
[ROW][C]11[/C][C]0.821585[/C][C]12.3511[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0.870886[/C][C]13.0923[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.801803[/C][C]12.0537[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0.707815[/C][C]10.6408[/C][C]0[/C][/ROW]
[ROW][C]15[/C][C]0.573485[/C][C]8.6214[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]0.434766[/C][C]6.536[/C][C]0[/C][/ROW]
[ROW][C]17[/C][C]0.353529[/C][C]5.3147[/C][C]0[/C][/ROW]
[ROW][C]18[/C][C]0.301868[/C][C]4.5381[/C][C]5e-06[/C][/ROW]
[ROW][C]19[/C][C]0.335225[/C][C]5.0395[/C][C]0[/C][/ROW]
[ROW][C]20[/C][C]0.400592[/C][C]6.0222[/C][C]0[/C][/ROW]
[ROW][C]21[/C][C]0.519915[/C][C]7.816[/C][C]0[/C][/ROW]
[ROW][C]22[/C][C]0.633383[/C][C]9.5218[/C][C]0[/C][/ROW]
[ROW][C]23[/C][C]0.702415[/C][C]10.5596[/C][C]0[/C][/ROW]
[ROW][C]24[/C][C]0.748797[/C][C]11.2569[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]0.682112[/C][C]10.2544[/C][C]0[/C][/ROW]
[ROW][C]26[/C][C]0.593185[/C][C]8.9175[/C][C]0[/C][/ROW]
[ROW][C]27[/C][C]0.466048[/C][C]7.0062[/C][C]0[/C][/ROW]
[ROW][C]28[/C][C]0.334606[/C][C]5.0302[/C][C]0[/C][/ROW]
[ROW][C]29[/C][C]0.255673[/C][C]3.8436[/C][C]7.9e-05[/C][/ROW]
[ROW][C]30[/C][C]0.20421[/C][C]3.0699[/C][C]0.001202[/C][/ROW]
[ROW][C]31[/C][C]0.23451[/C][C]3.5255[/C][C]0.000256[/C][/ROW]
[ROW][C]32[/C][C]0.292467[/C][C]4.3967[/C][C]8e-06[/C][/ROW]
[ROW][C]33[/C][C]0.401758[/C][C]6.0397[/C][C]0[/C][/ROW]
[ROW][C]34[/C][C]0.506671[/C][C]7.6169[/C][C]0[/C][/ROW]
[ROW][C]35[/C][C]0.569298[/C][C]8.5584[/C][C]0[/C][/ROW]
[ROW][C]36[/C][C]0.609845[/C][C]9.168[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]0.545461[/C][C]8.2001[/C][C]0[/C][/ROW]
[ROW][C]38[/C][C]0.459921[/C][C]6.9141[/C][C]0[/C][/ROW]
[ROW][C]39[/C][C]0.339348[/C][C]5.1015[/C][C]0[/C][/ROW]
[ROW][C]40[/C][C]0.216165[/C][C]3.2497[/C][C]0.000666[/C][/ROW]
[ROW][C]41[/C][C]0.141532[/C][C]2.1277[/C][C]0.017223[/C][/ROW]
[ROW][C]42[/C][C]0.092659[/C][C]1.393[/C][C]0.082498[/C][/ROW]
[ROW][C]43[/C][C]0.119473[/C][C]1.7961[/C][C]0.036909[/C][/ROW]
[ROW][C]44[/C][C]0.172505[/C][C]2.5933[/C][C]0.005063[/C][/ROW]
[ROW][C]45[/C][C]0.274424[/C][C]4.1255[/C][C]2.6e-05[/C][/ROW]
[ROW][C]46[/C][C]0.371248[/C][C]5.5811[/C][C]0[/C][/ROW]
[ROW][C]47[/C][C]0.42958[/C][C]6.458[/C][C]0[/C][/ROW]
[ROW][C]48[/C][C]0.46672[/C][C]7.0163[/C][C]0[/C][/ROW]
[ROW][C]49[/C][C]0.407282[/C][C]6.1228[/C][C]0[/C][/ROW]
[ROW][C]50[/C][C]0.326583[/C][C]4.9096[/C][C]1e-06[/C][/ROW]
[ROW][C]51[/C][C]0.213345[/C][C]3.2073[/C][C]0.000767[/C][/ROW]
[ROW][C]52[/C][C]0.097872[/C][C]1.4713[/C][C]0.071296[/C][/ROW]
[ROW][C]53[/C][C]0.027556[/C][C]0.4143[/C][C]0.339539[/C][/ROW]
[ROW][C]54[/C][C]-0.016771[/C][C]-0.2521[/C][C]0.400589[/C][/ROW]
[ROW][C]55[/C][C]0.008638[/C][C]0.1299[/C][C]0.448396[/C][/ROW]
[ROW][C]56[/C][C]0.058755[/C][C]0.8833[/C][C]0.189012[/C][/ROW]
[ROW][C]57[/C][C]0.154588[/C][C]2.324[/C][C]0.010507[/C][/ROW]
[ROW][C]58[/C][C]0.245646[/C][C]3.6929[/C][C]0.000139[/C][/ROW]
[ROW][C]59[/C][C]0.299628[/C][C]4.5044[/C][C]5e-06[/C][/ROW]
[ROW][C]60[/C][C]0.335049[/C][C]5.0369[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157994&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157994&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
10.92064613.84030
20.82132112.34720
30.67837810.19830
40.5331328.01470
50.4488566.74780
60.3944735.93020
70.4338996.52290
80.5023527.5520
90.6276719.4360
100.74745211.23670
110.82158512.35110
120.87088613.09230
130.80180312.05370
140.70781510.64080
150.5734858.62140
160.4347666.5360
170.3535295.31470
180.3018684.53815e-06
190.3352255.03950
200.4005926.02220
210.5199157.8160
220.6333839.52180
230.70241510.55960
240.74879711.25690
250.68211210.25440
260.5931858.91750
270.4660487.00620
280.3346065.03020
290.2556733.84367.9e-05
300.204213.06990.001202
310.234513.52550.000256
320.2924674.39678e-06
330.4017586.03970
340.5066717.61690
350.5692988.55840
360.6098459.1680
370.5454618.20010
380.4599216.91410
390.3393485.10150
400.2161653.24970.000666
410.1415322.12770.017223
420.0926591.3930.082498
430.1194731.79610.036909
440.1725052.59330.005063
450.2744244.12552.6e-05
460.3712485.58110
470.429586.4580
480.466727.01630
490.4072826.12280
500.3265834.90961e-06
510.2133453.20730.000767
520.0978721.47130.071296
530.0275560.41430.339539
54-0.016771-0.25210.400589
550.0086380.12990.448396
560.0587550.88330.189012
570.1545882.3240.010507
580.2456463.69290.000139
590.2996284.50445e-06
600.3350495.03690







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.92064613.84030
2-0.172356-2.59110.005095
3-0.334152-5.02341e-06
4-0.053358-0.80220.211654
50.441856.64250
60.1154291.73530.042027
70.405976.10310
80.0721641.08490.13957
90.4339496.52370
100.072221.08570.139384
110.0042180.06340.47475
120.1106791.66390.048762
13-0.424058-6.3750
14-0.068665-1.03230.151527
15-0.004487-0.06750.473142
16-0.08291-1.24640.106952
170.0348110.52330.300629
18-0.026362-0.39630.346125
19-0.040366-0.60680.272285
200.0209250.31460.376688
210.14722.21290.013952
22-0.005235-0.07870.468669
23-0.002799-0.04210.483238
240.0974191.46450.072219
25-0.220506-3.31490.000534
260.0256880.38620.349867
270.0207350.31170.377772
28-0.012059-0.18130.428151
29-0.034768-0.52270.300857
30-0.033456-0.5030.307744
31-0.036599-0.55020.291363
32-0.049673-0.74670.227997
330.0199130.29940.382472
340.0078560.11810.453046
35-0.008333-0.12530.450211
360.0087460.13150.447755
37-0.104635-1.5730.058557
380.0008640.0130.494826
390.0267770.40260.34383
400.0416230.62570.266059
41-0.031139-0.46810.320074
42-0.022706-0.34140.366578
43-0.039206-0.58940.278093
44-0.024483-0.36810.356588
450.014920.22430.411366
46-0.00813-0.12220.451418
470.0189050.28420.388259
48-0.006207-0.09330.46287
49-0.049964-0.75110.226682
50-0.02991-0.44970.326697
510.0164770.24770.402297
520.0146630.22040.412865
53-0.001118-0.01680.493301
540.0135250.20330.419529
55-0.038594-0.58020.281181
56-0.016794-0.25250.400456
570.0059450.08940.464431
580.0017470.02630.489535
59-0.00175-0.02630.48952
600.0321220.48290.314818

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.920646 & 13.8403 & 0 \tabularnewline
2 & -0.172356 & -2.5911 & 0.005095 \tabularnewline
3 & -0.334152 & -5.0234 & 1e-06 \tabularnewline
4 & -0.053358 & -0.8022 & 0.211654 \tabularnewline
5 & 0.44185 & 6.6425 & 0 \tabularnewline
6 & 0.115429 & 1.7353 & 0.042027 \tabularnewline
7 & 0.40597 & 6.1031 & 0 \tabularnewline
8 & 0.072164 & 1.0849 & 0.13957 \tabularnewline
9 & 0.433949 & 6.5237 & 0 \tabularnewline
10 & 0.07222 & 1.0857 & 0.139384 \tabularnewline
11 & 0.004218 & 0.0634 & 0.47475 \tabularnewline
12 & 0.110679 & 1.6639 & 0.048762 \tabularnewline
13 & -0.424058 & -6.375 & 0 \tabularnewline
14 & -0.068665 & -1.0323 & 0.151527 \tabularnewline
15 & -0.004487 & -0.0675 & 0.473142 \tabularnewline
16 & -0.08291 & -1.2464 & 0.106952 \tabularnewline
17 & 0.034811 & 0.5233 & 0.300629 \tabularnewline
18 & -0.026362 & -0.3963 & 0.346125 \tabularnewline
19 & -0.040366 & -0.6068 & 0.272285 \tabularnewline
20 & 0.020925 & 0.3146 & 0.376688 \tabularnewline
21 & 0.1472 & 2.2129 & 0.013952 \tabularnewline
22 & -0.005235 & -0.0787 & 0.468669 \tabularnewline
23 & -0.002799 & -0.0421 & 0.483238 \tabularnewline
24 & 0.097419 & 1.4645 & 0.072219 \tabularnewline
25 & -0.220506 & -3.3149 & 0.000534 \tabularnewline
26 & 0.025688 & 0.3862 & 0.349867 \tabularnewline
27 & 0.020735 & 0.3117 & 0.377772 \tabularnewline
28 & -0.012059 & -0.1813 & 0.428151 \tabularnewline
29 & -0.034768 & -0.5227 & 0.300857 \tabularnewline
30 & -0.033456 & -0.503 & 0.307744 \tabularnewline
31 & -0.036599 & -0.5502 & 0.291363 \tabularnewline
32 & -0.049673 & -0.7467 & 0.227997 \tabularnewline
33 & 0.019913 & 0.2994 & 0.382472 \tabularnewline
34 & 0.007856 & 0.1181 & 0.453046 \tabularnewline
35 & -0.008333 & -0.1253 & 0.450211 \tabularnewline
36 & 0.008746 & 0.1315 & 0.447755 \tabularnewline
37 & -0.104635 & -1.573 & 0.058557 \tabularnewline
38 & 0.000864 & 0.013 & 0.494826 \tabularnewline
39 & 0.026777 & 0.4026 & 0.34383 \tabularnewline
40 & 0.041623 & 0.6257 & 0.266059 \tabularnewline
41 & -0.031139 & -0.4681 & 0.320074 \tabularnewline
42 & -0.022706 & -0.3414 & 0.366578 \tabularnewline
43 & -0.039206 & -0.5894 & 0.278093 \tabularnewline
44 & -0.024483 & -0.3681 & 0.356588 \tabularnewline
45 & 0.01492 & 0.2243 & 0.411366 \tabularnewline
46 & -0.00813 & -0.1222 & 0.451418 \tabularnewline
47 & 0.018905 & 0.2842 & 0.388259 \tabularnewline
48 & -0.006207 & -0.0933 & 0.46287 \tabularnewline
49 & -0.049964 & -0.7511 & 0.226682 \tabularnewline
50 & -0.02991 & -0.4497 & 0.326697 \tabularnewline
51 & 0.016477 & 0.2477 & 0.402297 \tabularnewline
52 & 0.014663 & 0.2204 & 0.412865 \tabularnewline
53 & -0.001118 & -0.0168 & 0.493301 \tabularnewline
54 & 0.013525 & 0.2033 & 0.419529 \tabularnewline
55 & -0.038594 & -0.5802 & 0.281181 \tabularnewline
56 & -0.016794 & -0.2525 & 0.400456 \tabularnewline
57 & 0.005945 & 0.0894 & 0.464431 \tabularnewline
58 & 0.001747 & 0.0263 & 0.489535 \tabularnewline
59 & -0.00175 & -0.0263 & 0.48952 \tabularnewline
60 & 0.032122 & 0.4829 & 0.314818 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=157994&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]0.920646[/C][C]13.8403[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.172356[/C][C]-2.5911[/C][C]0.005095[/C][/ROW]
[ROW][C]3[/C][C]-0.334152[/C][C]-5.0234[/C][C]1e-06[/C][/ROW]
[ROW][C]4[/C][C]-0.053358[/C][C]-0.8022[/C][C]0.211654[/C][/ROW]
[ROW][C]5[/C][C]0.44185[/C][C]6.6425[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.115429[/C][C]1.7353[/C][C]0.042027[/C][/ROW]
[ROW][C]7[/C][C]0.40597[/C][C]6.1031[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.072164[/C][C]1.0849[/C][C]0.13957[/C][/ROW]
[ROW][C]9[/C][C]0.433949[/C][C]6.5237[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.07222[/C][C]1.0857[/C][C]0.139384[/C][/ROW]
[ROW][C]11[/C][C]0.004218[/C][C]0.0634[/C][C]0.47475[/C][/ROW]
[ROW][C]12[/C][C]0.110679[/C][C]1.6639[/C][C]0.048762[/C][/ROW]
[ROW][C]13[/C][C]-0.424058[/C][C]-6.375[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]-0.068665[/C][C]-1.0323[/C][C]0.151527[/C][/ROW]
[ROW][C]15[/C][C]-0.004487[/C][C]-0.0675[/C][C]0.473142[/C][/ROW]
[ROW][C]16[/C][C]-0.08291[/C][C]-1.2464[/C][C]0.106952[/C][/ROW]
[ROW][C]17[/C][C]0.034811[/C][C]0.5233[/C][C]0.300629[/C][/ROW]
[ROW][C]18[/C][C]-0.026362[/C][C]-0.3963[/C][C]0.346125[/C][/ROW]
[ROW][C]19[/C][C]-0.040366[/C][C]-0.6068[/C][C]0.272285[/C][/ROW]
[ROW][C]20[/C][C]0.020925[/C][C]0.3146[/C][C]0.376688[/C][/ROW]
[ROW][C]21[/C][C]0.1472[/C][C]2.2129[/C][C]0.013952[/C][/ROW]
[ROW][C]22[/C][C]-0.005235[/C][C]-0.0787[/C][C]0.468669[/C][/ROW]
[ROW][C]23[/C][C]-0.002799[/C][C]-0.0421[/C][C]0.483238[/C][/ROW]
[ROW][C]24[/C][C]0.097419[/C][C]1.4645[/C][C]0.072219[/C][/ROW]
[ROW][C]25[/C][C]-0.220506[/C][C]-3.3149[/C][C]0.000534[/C][/ROW]
[ROW][C]26[/C][C]0.025688[/C][C]0.3862[/C][C]0.349867[/C][/ROW]
[ROW][C]27[/C][C]0.020735[/C][C]0.3117[/C][C]0.377772[/C][/ROW]
[ROW][C]28[/C][C]-0.012059[/C][C]-0.1813[/C][C]0.428151[/C][/ROW]
[ROW][C]29[/C][C]-0.034768[/C][C]-0.5227[/C][C]0.300857[/C][/ROW]
[ROW][C]30[/C][C]-0.033456[/C][C]-0.503[/C][C]0.307744[/C][/ROW]
[ROW][C]31[/C][C]-0.036599[/C][C]-0.5502[/C][C]0.291363[/C][/ROW]
[ROW][C]32[/C][C]-0.049673[/C][C]-0.7467[/C][C]0.227997[/C][/ROW]
[ROW][C]33[/C][C]0.019913[/C][C]0.2994[/C][C]0.382472[/C][/ROW]
[ROW][C]34[/C][C]0.007856[/C][C]0.1181[/C][C]0.453046[/C][/ROW]
[ROW][C]35[/C][C]-0.008333[/C][C]-0.1253[/C][C]0.450211[/C][/ROW]
[ROW][C]36[/C][C]0.008746[/C][C]0.1315[/C][C]0.447755[/C][/ROW]
[ROW][C]37[/C][C]-0.104635[/C][C]-1.573[/C][C]0.058557[/C][/ROW]
[ROW][C]38[/C][C]0.000864[/C][C]0.013[/C][C]0.494826[/C][/ROW]
[ROW][C]39[/C][C]0.026777[/C][C]0.4026[/C][C]0.34383[/C][/ROW]
[ROW][C]40[/C][C]0.041623[/C][C]0.6257[/C][C]0.266059[/C][/ROW]
[ROW][C]41[/C][C]-0.031139[/C][C]-0.4681[/C][C]0.320074[/C][/ROW]
[ROW][C]42[/C][C]-0.022706[/C][C]-0.3414[/C][C]0.366578[/C][/ROW]
[ROW][C]43[/C][C]-0.039206[/C][C]-0.5894[/C][C]0.278093[/C][/ROW]
[ROW][C]44[/C][C]-0.024483[/C][C]-0.3681[/C][C]0.356588[/C][/ROW]
[ROW][C]45[/C][C]0.01492[/C][C]0.2243[/C][C]0.411366[/C][/ROW]
[ROW][C]46[/C][C]-0.00813[/C][C]-0.1222[/C][C]0.451418[/C][/ROW]
[ROW][C]47[/C][C]0.018905[/C][C]0.2842[/C][C]0.388259[/C][/ROW]
[ROW][C]48[/C][C]-0.006207[/C][C]-0.0933[/C][C]0.46287[/C][/ROW]
[ROW][C]49[/C][C]-0.049964[/C][C]-0.7511[/C][C]0.226682[/C][/ROW]
[ROW][C]50[/C][C]-0.02991[/C][C]-0.4497[/C][C]0.326697[/C][/ROW]
[ROW][C]51[/C][C]0.016477[/C][C]0.2477[/C][C]0.402297[/C][/ROW]
[ROW][C]52[/C][C]0.014663[/C][C]0.2204[/C][C]0.412865[/C][/ROW]
[ROW][C]53[/C][C]-0.001118[/C][C]-0.0168[/C][C]0.493301[/C][/ROW]
[ROW][C]54[/C][C]0.013525[/C][C]0.2033[/C][C]0.419529[/C][/ROW]
[ROW][C]55[/C][C]-0.038594[/C][C]-0.5802[/C][C]0.281181[/C][/ROW]
[ROW][C]56[/C][C]-0.016794[/C][C]-0.2525[/C][C]0.400456[/C][/ROW]
[ROW][C]57[/C][C]0.005945[/C][C]0.0894[/C][C]0.464431[/C][/ROW]
[ROW][C]58[/C][C]0.001747[/C][C]0.0263[/C][C]0.489535[/C][/ROW]
[ROW][C]59[/C][C]-0.00175[/C][C]-0.0263[/C][C]0.48952[/C][/ROW]
[ROW][C]60[/C][C]0.032122[/C][C]0.4829[/C][C]0.314818[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=157994&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=157994&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
10.92064613.84030
2-0.172356-2.59110.005095
3-0.334152-5.02341e-06
4-0.053358-0.80220.211654
50.441856.64250
60.1154291.73530.042027
70.405976.10310
80.0721641.08490.13957
90.4339496.52370
100.072221.08570.139384
110.0042180.06340.47475
120.1106791.66390.048762
13-0.424058-6.3750
14-0.068665-1.03230.151527
15-0.004487-0.06750.473142
16-0.08291-1.24640.106952
170.0348110.52330.300629
18-0.026362-0.39630.346125
19-0.040366-0.60680.272285
200.0209250.31460.376688
210.14722.21290.013952
22-0.005235-0.07870.468669
23-0.002799-0.04210.483238
240.0974191.46450.072219
25-0.220506-3.31490.000534
260.0256880.38620.349867
270.0207350.31170.377772
28-0.012059-0.18130.428151
29-0.034768-0.52270.300857
30-0.033456-0.5030.307744
31-0.036599-0.55020.291363
32-0.049673-0.74670.227997
330.0199130.29940.382472
340.0078560.11810.453046
35-0.008333-0.12530.450211
360.0087460.13150.447755
37-0.104635-1.5730.058557
380.0008640.0130.494826
390.0267770.40260.34383
400.0416230.62570.266059
41-0.031139-0.46810.320074
42-0.022706-0.34140.366578
43-0.039206-0.58940.278093
44-0.024483-0.36810.356588
450.014920.22430.411366
46-0.00813-0.12220.451418
470.0189050.28420.388259
48-0.006207-0.09330.46287
49-0.049964-0.75110.226682
50-0.02991-0.44970.326697
510.0164770.24770.402297
520.0146630.22040.412865
53-0.001118-0.01680.493301
540.0135250.20330.419529
55-0.038594-0.58020.281181
56-0.016794-0.25250.400456
570.0059450.08940.464431
580.0017470.02630.489535
59-0.00175-0.02630.48952
600.0321220.48290.314818



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')