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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 computationSun, 27 Nov 2011 09:17:03 -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/Nov/27/t132240360249j500grrw9i8gl.htm/, Retrieved Fri, 29 Mar 2024 15:44:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=147494, Retrieved Fri, 29 Mar 2024 15:44:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact135
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [(Partial) Autocorrelation Function] [Unemployment] [2010-11-29 09:05:21] [b98453cac15ba1066b407e146608df68]
-   PD    [(Partial) Autocorrelation Function] [WS 9 - faillissem...] [2010-12-04 13:34:43] [033eb2749a430605d9b2be7c4aac4a0c]
- R  D        [(Partial) Autocorrelation Function] [WS8: autocorrelat...] [2011-11-27 14:17:03] [dfccbb29b87008a80f95a64515f2b3fe] [Current]
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Dataseries X:
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357,00
369,00
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249,00
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177,00
213.2
207.2
180.6
188.6
175.4
199,00
179.6
225.8
234,00
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148,00
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171,00
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347,00
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269,00
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271,00
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266,00
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375,00
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378,00
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338,00
417.2
388.4
371.1
331.5
353.7
396.7
447,00
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444,00
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376,00
462.7
487,00
444.2
399.3
394.9
455.4
414,00
375.5
347,00
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299,00
273,00
279.3
359.2
305,00
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272,00
307.4
328.7
292.9
249.1
230.4
361.5
321.7
277.2
260.7
251,00
257.6
241.8
287.5
292.3
274.7
254.2
230,00
339,00
318.2
287,00
295.8
284,00
271,00
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451,00
422,00
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549,00
533,00
506.1
484,00
457,00
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447,00
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455,00
420.8
416.5
376.3
405.6
405.8
500.8
514,00
475.5
430.1
414.4
538,00
526,00
488.5
520.2
504.4
568.5
610.6
818,00
830.9
835.9
782,00
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689,00
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588,00
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546,00
562.9
572.5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147494&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147494&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147494&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'Gwilym Jenkins' @ jenkins.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.0304980.58740.278638
2-0.14613-2.81470.002572
3-0.254888-4.90951e-06
4-0.077666-1.4960.067757
50.268315.1680
6-0.116454-2.24310.012741
70.2371514.56783e-06
8-0.108755-2.09480.018435
9-0.269739-5.19550
10-0.201482-3.88086.2e-05
11-0.001451-0.02790.488861
120.75985914.63590
13-0.020891-0.40240.343817
14-0.2105-4.05453.1e-05
15-0.28356-5.46170
16-0.123045-2.370.009149
170.2269324.3718e-06
18-0.139932-2.69530.003676
190.2339594.50644e-06
20-0.117883-2.27060.011872
21-0.243879-4.69742e-06
22-0.183068-3.52610.000237
23-0.012166-0.23430.407425
240.72082413.88410
25-0.007937-0.15290.439292
26-0.189763-3.65510.000147
27-0.262816-5.06220
28-0.10125-1.95020.025952
290.2305834.44146e-06
30-0.128737-2.47960.006797
310.2150154.14152.1e-05
32-0.117502-2.26330.012099
33-0.222654-4.28861.1e-05
34-0.160545-3.09230.001068
35-0.028872-0.55610.289234
360.68874313.26610
37-0.020199-0.38910.348729
38-0.154053-2.96730.0016
39-0.240786-4.63792e-06
40-0.093956-1.80970.035574
410.1935263.72760.000112
42-0.120383-2.31870.010476
430.1937123.73120.00011
44-0.105681-2.03560.021253
45-0.226142-4.35589e-06
46-0.154918-2.98390.001517
47-0.00787-0.15160.439795
480.66494512.80770

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.030498 & 0.5874 & 0.278638 \tabularnewline
2 & -0.14613 & -2.8147 & 0.002572 \tabularnewline
3 & -0.254888 & -4.9095 & 1e-06 \tabularnewline
4 & -0.077666 & -1.496 & 0.067757 \tabularnewline
5 & 0.26831 & 5.168 & 0 \tabularnewline
6 & -0.116454 & -2.2431 & 0.012741 \tabularnewline
7 & 0.237151 & 4.5678 & 3e-06 \tabularnewline
8 & -0.108755 & -2.0948 & 0.018435 \tabularnewline
9 & -0.269739 & -5.1955 & 0 \tabularnewline
10 & -0.201482 & -3.8808 & 6.2e-05 \tabularnewline
11 & -0.001451 & -0.0279 & 0.488861 \tabularnewline
12 & 0.759859 & 14.6359 & 0 \tabularnewline
13 & -0.020891 & -0.4024 & 0.343817 \tabularnewline
14 & -0.2105 & -4.0545 & 3.1e-05 \tabularnewline
15 & -0.28356 & -5.4617 & 0 \tabularnewline
16 & -0.123045 & -2.37 & 0.009149 \tabularnewline
17 & 0.226932 & 4.371 & 8e-06 \tabularnewline
18 & -0.139932 & -2.6953 & 0.003676 \tabularnewline
19 & 0.233959 & 4.5064 & 4e-06 \tabularnewline
20 & -0.117883 & -2.2706 & 0.011872 \tabularnewline
21 & -0.243879 & -4.6974 & 2e-06 \tabularnewline
22 & -0.183068 & -3.5261 & 0.000237 \tabularnewline
23 & -0.012166 & -0.2343 & 0.407425 \tabularnewline
24 & 0.720824 & 13.8841 & 0 \tabularnewline
25 & -0.007937 & -0.1529 & 0.439292 \tabularnewline
26 & -0.189763 & -3.6551 & 0.000147 \tabularnewline
27 & -0.262816 & -5.0622 & 0 \tabularnewline
28 & -0.10125 & -1.9502 & 0.025952 \tabularnewline
29 & 0.230583 & 4.4414 & 6e-06 \tabularnewline
30 & -0.128737 & -2.4796 & 0.006797 \tabularnewline
31 & 0.215015 & 4.1415 & 2.1e-05 \tabularnewline
32 & -0.117502 & -2.2633 & 0.012099 \tabularnewline
33 & -0.222654 & -4.2886 & 1.1e-05 \tabularnewline
34 & -0.160545 & -3.0923 & 0.001068 \tabularnewline
35 & -0.028872 & -0.5561 & 0.289234 \tabularnewline
36 & 0.688743 & 13.2661 & 0 \tabularnewline
37 & -0.020199 & -0.3891 & 0.348729 \tabularnewline
38 & -0.154053 & -2.9673 & 0.0016 \tabularnewline
39 & -0.240786 & -4.6379 & 2e-06 \tabularnewline
40 & -0.093956 & -1.8097 & 0.035574 \tabularnewline
41 & 0.193526 & 3.7276 & 0.000112 \tabularnewline
42 & -0.120383 & -2.3187 & 0.010476 \tabularnewline
43 & 0.193712 & 3.7312 & 0.00011 \tabularnewline
44 & -0.105681 & -2.0356 & 0.021253 \tabularnewline
45 & -0.226142 & -4.3558 & 9e-06 \tabularnewline
46 & -0.154918 & -2.9839 & 0.001517 \tabularnewline
47 & -0.00787 & -0.1516 & 0.439795 \tabularnewline
48 & 0.664945 & 12.8077 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147494&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]0.030498[/C][C]0.5874[/C][C]0.278638[/C][/ROW]
[ROW][C]2[/C][C]-0.14613[/C][C]-2.8147[/C][C]0.002572[/C][/ROW]
[ROW][C]3[/C][C]-0.254888[/C][C]-4.9095[/C][C]1e-06[/C][/ROW]
[ROW][C]4[/C][C]-0.077666[/C][C]-1.496[/C][C]0.067757[/C][/ROW]
[ROW][C]5[/C][C]0.26831[/C][C]5.168[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]-0.116454[/C][C]-2.2431[/C][C]0.012741[/C][/ROW]
[ROW][C]7[/C][C]0.237151[/C][C]4.5678[/C][C]3e-06[/C][/ROW]
[ROW][C]8[/C][C]-0.108755[/C][C]-2.0948[/C][C]0.018435[/C][/ROW]
[ROW][C]9[/C][C]-0.269739[/C][C]-5.1955[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]-0.201482[/C][C]-3.8808[/C][C]6.2e-05[/C][/ROW]
[ROW][C]11[/C][C]-0.001451[/C][C]-0.0279[/C][C]0.488861[/C][/ROW]
[ROW][C]12[/C][C]0.759859[/C][C]14.6359[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]-0.020891[/C][C]-0.4024[/C][C]0.343817[/C][/ROW]
[ROW][C]14[/C][C]-0.2105[/C][C]-4.0545[/C][C]3.1e-05[/C][/ROW]
[ROW][C]15[/C][C]-0.28356[/C][C]-5.4617[/C][C]0[/C][/ROW]
[ROW][C]16[/C][C]-0.123045[/C][C]-2.37[/C][C]0.009149[/C][/ROW]
[ROW][C]17[/C][C]0.226932[/C][C]4.371[/C][C]8e-06[/C][/ROW]
[ROW][C]18[/C][C]-0.139932[/C][C]-2.6953[/C][C]0.003676[/C][/ROW]
[ROW][C]19[/C][C]0.233959[/C][C]4.5064[/C][C]4e-06[/C][/ROW]
[ROW][C]20[/C][C]-0.117883[/C][C]-2.2706[/C][C]0.011872[/C][/ROW]
[ROW][C]21[/C][C]-0.243879[/C][C]-4.6974[/C][C]2e-06[/C][/ROW]
[ROW][C]22[/C][C]-0.183068[/C][C]-3.5261[/C][C]0.000237[/C][/ROW]
[ROW][C]23[/C][C]-0.012166[/C][C]-0.2343[/C][C]0.407425[/C][/ROW]
[ROW][C]24[/C][C]0.720824[/C][C]13.8841[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]-0.007937[/C][C]-0.1529[/C][C]0.439292[/C][/ROW]
[ROW][C]26[/C][C]-0.189763[/C][C]-3.6551[/C][C]0.000147[/C][/ROW]
[ROW][C]27[/C][C]-0.262816[/C][C]-5.0622[/C][C]0[/C][/ROW]
[ROW][C]28[/C][C]-0.10125[/C][C]-1.9502[/C][C]0.025952[/C][/ROW]
[ROW][C]29[/C][C]0.230583[/C][C]4.4414[/C][C]6e-06[/C][/ROW]
[ROW][C]30[/C][C]-0.128737[/C][C]-2.4796[/C][C]0.006797[/C][/ROW]
[ROW][C]31[/C][C]0.215015[/C][C]4.1415[/C][C]2.1e-05[/C][/ROW]
[ROW][C]32[/C][C]-0.117502[/C][C]-2.2633[/C][C]0.012099[/C][/ROW]
[ROW][C]33[/C][C]-0.222654[/C][C]-4.2886[/C][C]1.1e-05[/C][/ROW]
[ROW][C]34[/C][C]-0.160545[/C][C]-3.0923[/C][C]0.001068[/C][/ROW]
[ROW][C]35[/C][C]-0.028872[/C][C]-0.5561[/C][C]0.289234[/C][/ROW]
[ROW][C]36[/C][C]0.688743[/C][C]13.2661[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]-0.020199[/C][C]-0.3891[/C][C]0.348729[/C][/ROW]
[ROW][C]38[/C][C]-0.154053[/C][C]-2.9673[/C][C]0.0016[/C][/ROW]
[ROW][C]39[/C][C]-0.240786[/C][C]-4.6379[/C][C]2e-06[/C][/ROW]
[ROW][C]40[/C][C]-0.093956[/C][C]-1.8097[/C][C]0.035574[/C][/ROW]
[ROW][C]41[/C][C]0.193526[/C][C]3.7276[/C][C]0.000112[/C][/ROW]
[ROW][C]42[/C][C]-0.120383[/C][C]-2.3187[/C][C]0.010476[/C][/ROW]
[ROW][C]43[/C][C]0.193712[/C][C]3.7312[/C][C]0.00011[/C][/ROW]
[ROW][C]44[/C][C]-0.105681[/C][C]-2.0356[/C][C]0.021253[/C][/ROW]
[ROW][C]45[/C][C]-0.226142[/C][C]-4.3558[/C][C]9e-06[/C][/ROW]
[ROW][C]46[/C][C]-0.154918[/C][C]-2.9839[/C][C]0.001517[/C][/ROW]
[ROW][C]47[/C][C]-0.00787[/C][C]-0.1516[/C][C]0.439795[/C][/ROW]
[ROW][C]48[/C][C]0.664945[/C][C]12.8077[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147494&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147494&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
10.0304980.58740.278638
2-0.14613-2.81470.002572
3-0.254888-4.90951e-06
4-0.077666-1.4960.067757
50.268315.1680
6-0.116454-2.24310.012741
70.2371514.56783e-06
8-0.108755-2.09480.018435
9-0.269739-5.19550
10-0.201482-3.88086.2e-05
11-0.001451-0.02790.488861
120.75985914.63590
13-0.020891-0.40240.343817
14-0.2105-4.05453.1e-05
15-0.28356-5.46170
16-0.123045-2.370.009149
170.2269324.3718e-06
18-0.139932-2.69530.003676
190.2339594.50644e-06
20-0.117883-2.27060.011872
21-0.243879-4.69742e-06
22-0.183068-3.52610.000237
23-0.012166-0.23430.407425
240.72082413.88410
25-0.007937-0.15290.439292
26-0.189763-3.65510.000147
27-0.262816-5.06220
28-0.10125-1.95020.025952
290.2305834.44146e-06
30-0.128737-2.47960.006797
310.2150154.14152.1e-05
32-0.117502-2.26330.012099
33-0.222654-4.28861.1e-05
34-0.160545-3.09230.001068
35-0.028872-0.55610.289234
360.68874313.26610
37-0.020199-0.38910.348729
38-0.154053-2.96730.0016
39-0.240786-4.63792e-06
40-0.093956-1.80970.035574
410.1935263.72760.000112
42-0.120383-2.31870.010476
430.1937123.73120.00011
44-0.105681-2.03560.021253
45-0.226142-4.35589e-06
46-0.154918-2.98390.001517
47-0.00787-0.15160.439795
480.66494512.80770







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.0304980.58740.278638
2-0.147197-2.83520.002415
3-0.250952-4.83371e-06
4-0.099073-1.90830.028564
50.2136714.11562.4e-05
6-0.229321-4.4177e-06
70.3194896.15380
8-0.108402-2.0880.018741
9-0.295783-5.69720
10-0.189546-3.65090.000149
110.0532721.02610.152758
120.63700212.26950
13-0.152635-2.940.001744
14-0.220834-4.25361.3e-05
15-0.061034-1.17560.120255
16-0.163243-3.14439e-04
17-0.089865-1.73090.042149
18-0.089665-1.72710.042494
190.084681.6310.051864
20-0.044248-0.85230.197305
210.003230.06220.475209
220.0206750.39820.345344
23-0.085334-1.64360.050548
240.2143484.12862.3e-05
25-0.011253-0.21670.414261
26-0.088796-1.71030.044021
27-0.01174-0.22610.410614
28-0.020782-0.40030.344585
29-0.058745-1.13150.129286
30-0.070939-1.36640.086325
31-0.04759-0.91660.179961
32-0.057698-1.11130.133569
33-0.008413-0.1620.435678
340.0414990.79930.212304
35-0.075142-1.44730.074325
360.1275092.4560.007253
37-0.042765-0.82370.205317
380.0267730.51570.303188
390.0180490.34760.364154
40-0.055476-1.06850.142985
41-0.161702-3.11460.000993
420.01510.29090.385663
43-0.075803-1.46010.072558
44-0.030211-0.58190.280491
45-0.071316-1.37360.08519
460.0077520.14930.440693
470.0461620.88920.187249
480.104692.01650.022236

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.030498 & 0.5874 & 0.278638 \tabularnewline
2 & -0.147197 & -2.8352 & 0.002415 \tabularnewline
3 & -0.250952 & -4.8337 & 1e-06 \tabularnewline
4 & -0.099073 & -1.9083 & 0.028564 \tabularnewline
5 & 0.213671 & 4.1156 & 2.4e-05 \tabularnewline
6 & -0.229321 & -4.417 & 7e-06 \tabularnewline
7 & 0.319489 & 6.1538 & 0 \tabularnewline
8 & -0.108402 & -2.088 & 0.018741 \tabularnewline
9 & -0.295783 & -5.6972 & 0 \tabularnewline
10 & -0.189546 & -3.6509 & 0.000149 \tabularnewline
11 & 0.053272 & 1.0261 & 0.152758 \tabularnewline
12 & 0.637002 & 12.2695 & 0 \tabularnewline
13 & -0.152635 & -2.94 & 0.001744 \tabularnewline
14 & -0.220834 & -4.2536 & 1.3e-05 \tabularnewline
15 & -0.061034 & -1.1756 & 0.120255 \tabularnewline
16 & -0.163243 & -3.1443 & 9e-04 \tabularnewline
17 & -0.089865 & -1.7309 & 0.042149 \tabularnewline
18 & -0.089665 & -1.7271 & 0.042494 \tabularnewline
19 & 0.08468 & 1.631 & 0.051864 \tabularnewline
20 & -0.044248 & -0.8523 & 0.197305 \tabularnewline
21 & 0.00323 & 0.0622 & 0.475209 \tabularnewline
22 & 0.020675 & 0.3982 & 0.345344 \tabularnewline
23 & -0.085334 & -1.6436 & 0.050548 \tabularnewline
24 & 0.214348 & 4.1286 & 2.3e-05 \tabularnewline
25 & -0.011253 & -0.2167 & 0.414261 \tabularnewline
26 & -0.088796 & -1.7103 & 0.044021 \tabularnewline
27 & -0.01174 & -0.2261 & 0.410614 \tabularnewline
28 & -0.020782 & -0.4003 & 0.344585 \tabularnewline
29 & -0.058745 & -1.1315 & 0.129286 \tabularnewline
30 & -0.070939 & -1.3664 & 0.086325 \tabularnewline
31 & -0.04759 & -0.9166 & 0.179961 \tabularnewline
32 & -0.057698 & -1.1113 & 0.133569 \tabularnewline
33 & -0.008413 & -0.162 & 0.435678 \tabularnewline
34 & 0.041499 & 0.7993 & 0.212304 \tabularnewline
35 & -0.075142 & -1.4473 & 0.074325 \tabularnewline
36 & 0.127509 & 2.456 & 0.007253 \tabularnewline
37 & -0.042765 & -0.8237 & 0.205317 \tabularnewline
38 & 0.026773 & 0.5157 & 0.303188 \tabularnewline
39 & 0.018049 & 0.3476 & 0.364154 \tabularnewline
40 & -0.055476 & -1.0685 & 0.142985 \tabularnewline
41 & -0.161702 & -3.1146 & 0.000993 \tabularnewline
42 & 0.0151 & 0.2909 & 0.385663 \tabularnewline
43 & -0.075803 & -1.4601 & 0.072558 \tabularnewline
44 & -0.030211 & -0.5819 & 0.280491 \tabularnewline
45 & -0.071316 & -1.3736 & 0.08519 \tabularnewline
46 & 0.007752 & 0.1493 & 0.440693 \tabularnewline
47 & 0.046162 & 0.8892 & 0.187249 \tabularnewline
48 & 0.10469 & 2.0165 & 0.022236 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=147494&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]0.030498[/C][C]0.5874[/C][C]0.278638[/C][/ROW]
[ROW][C]2[/C][C]-0.147197[/C][C]-2.8352[/C][C]0.002415[/C][/ROW]
[ROW][C]3[/C][C]-0.250952[/C][C]-4.8337[/C][C]1e-06[/C][/ROW]
[ROW][C]4[/C][C]-0.099073[/C][C]-1.9083[/C][C]0.028564[/C][/ROW]
[ROW][C]5[/C][C]0.213671[/C][C]4.1156[/C][C]2.4e-05[/C][/ROW]
[ROW][C]6[/C][C]-0.229321[/C][C]-4.417[/C][C]7e-06[/C][/ROW]
[ROW][C]7[/C][C]0.319489[/C][C]6.1538[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]-0.108402[/C][C]-2.088[/C][C]0.018741[/C][/ROW]
[ROW][C]9[/C][C]-0.295783[/C][C]-5.6972[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]-0.189546[/C][C]-3.6509[/C][C]0.000149[/C][/ROW]
[ROW][C]11[/C][C]0.053272[/C][C]1.0261[/C][C]0.152758[/C][/ROW]
[ROW][C]12[/C][C]0.637002[/C][C]12.2695[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]-0.152635[/C][C]-2.94[/C][C]0.001744[/C][/ROW]
[ROW][C]14[/C][C]-0.220834[/C][C]-4.2536[/C][C]1.3e-05[/C][/ROW]
[ROW][C]15[/C][C]-0.061034[/C][C]-1.1756[/C][C]0.120255[/C][/ROW]
[ROW][C]16[/C][C]-0.163243[/C][C]-3.1443[/C][C]9e-04[/C][/ROW]
[ROW][C]17[/C][C]-0.089865[/C][C]-1.7309[/C][C]0.042149[/C][/ROW]
[ROW][C]18[/C][C]-0.089665[/C][C]-1.7271[/C][C]0.042494[/C][/ROW]
[ROW][C]19[/C][C]0.08468[/C][C]1.631[/C][C]0.051864[/C][/ROW]
[ROW][C]20[/C][C]-0.044248[/C][C]-0.8523[/C][C]0.197305[/C][/ROW]
[ROW][C]21[/C][C]0.00323[/C][C]0.0622[/C][C]0.475209[/C][/ROW]
[ROW][C]22[/C][C]0.020675[/C][C]0.3982[/C][C]0.345344[/C][/ROW]
[ROW][C]23[/C][C]-0.085334[/C][C]-1.6436[/C][C]0.050548[/C][/ROW]
[ROW][C]24[/C][C]0.214348[/C][C]4.1286[/C][C]2.3e-05[/C][/ROW]
[ROW][C]25[/C][C]-0.011253[/C][C]-0.2167[/C][C]0.414261[/C][/ROW]
[ROW][C]26[/C][C]-0.088796[/C][C]-1.7103[/C][C]0.044021[/C][/ROW]
[ROW][C]27[/C][C]-0.01174[/C][C]-0.2261[/C][C]0.410614[/C][/ROW]
[ROW][C]28[/C][C]-0.020782[/C][C]-0.4003[/C][C]0.344585[/C][/ROW]
[ROW][C]29[/C][C]-0.058745[/C][C]-1.1315[/C][C]0.129286[/C][/ROW]
[ROW][C]30[/C][C]-0.070939[/C][C]-1.3664[/C][C]0.086325[/C][/ROW]
[ROW][C]31[/C][C]-0.04759[/C][C]-0.9166[/C][C]0.179961[/C][/ROW]
[ROW][C]32[/C][C]-0.057698[/C][C]-1.1113[/C][C]0.133569[/C][/ROW]
[ROW][C]33[/C][C]-0.008413[/C][C]-0.162[/C][C]0.435678[/C][/ROW]
[ROW][C]34[/C][C]0.041499[/C][C]0.7993[/C][C]0.212304[/C][/ROW]
[ROW][C]35[/C][C]-0.075142[/C][C]-1.4473[/C][C]0.074325[/C][/ROW]
[ROW][C]36[/C][C]0.127509[/C][C]2.456[/C][C]0.007253[/C][/ROW]
[ROW][C]37[/C][C]-0.042765[/C][C]-0.8237[/C][C]0.205317[/C][/ROW]
[ROW][C]38[/C][C]0.026773[/C][C]0.5157[/C][C]0.303188[/C][/ROW]
[ROW][C]39[/C][C]0.018049[/C][C]0.3476[/C][C]0.364154[/C][/ROW]
[ROW][C]40[/C][C]-0.055476[/C][C]-1.0685[/C][C]0.142985[/C][/ROW]
[ROW][C]41[/C][C]-0.161702[/C][C]-3.1146[/C][C]0.000993[/C][/ROW]
[ROW][C]42[/C][C]0.0151[/C][C]0.2909[/C][C]0.385663[/C][/ROW]
[ROW][C]43[/C][C]-0.075803[/C][C]-1.4601[/C][C]0.072558[/C][/ROW]
[ROW][C]44[/C][C]-0.030211[/C][C]-0.5819[/C][C]0.280491[/C][/ROW]
[ROW][C]45[/C][C]-0.071316[/C][C]-1.3736[/C][C]0.08519[/C][/ROW]
[ROW][C]46[/C][C]0.007752[/C][C]0.1493[/C][C]0.440693[/C][/ROW]
[ROW][C]47[/C][C]0.046162[/C][C]0.8892[/C][C]0.187249[/C][/ROW]
[ROW][C]48[/C][C]0.10469[/C][C]2.0165[/C][C]0.022236[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=147494&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=147494&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
10.0304980.58740.278638
2-0.147197-2.83520.002415
3-0.250952-4.83371e-06
4-0.099073-1.90830.028564
50.2136714.11562.4e-05
6-0.229321-4.4177e-06
70.3194896.15380
8-0.108402-2.0880.018741
9-0.295783-5.69720
10-0.189546-3.65090.000149
110.0532721.02610.152758
120.63700212.26950
13-0.152635-2.940.001744
14-0.220834-4.25361.3e-05
15-0.061034-1.17560.120255
16-0.163243-3.14439e-04
17-0.089865-1.73090.042149
18-0.089665-1.72710.042494
190.084681.6310.051864
20-0.044248-0.85230.197305
210.003230.06220.475209
220.0206750.39820.345344
23-0.085334-1.64360.050548
240.2143484.12862.3e-05
25-0.011253-0.21670.414261
26-0.088796-1.71030.044021
27-0.01174-0.22610.410614
28-0.020782-0.40030.344585
29-0.058745-1.13150.129286
30-0.070939-1.36640.086325
31-0.04759-0.91660.179961
32-0.057698-1.11130.133569
33-0.008413-0.1620.435678
340.0414990.79930.212304
35-0.075142-1.44730.074325
360.1275092.4560.007253
37-0.042765-0.82370.205317
380.0267730.51570.303188
390.0180490.34760.364154
40-0.055476-1.06850.142985
41-0.161702-3.11460.000993
420.01510.29090.385663
43-0.075803-1.46010.072558
44-0.030211-0.58190.280491
45-0.071316-1.37360.08519
460.0077520.14930.440693
470.0461620.88920.187249
480.104692.01650.022236



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