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Author

*Unverified author*

R Software Module

rwasp_autocorrelation.wasp

Title produced by software

(Partial) Autocorrelation Function

Date of computation

Mon, 10 Dec 2007 14:32:28 -0700

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/10/t1197321477rayvgbqmh9iq516.htm/, Retrieved Sat, 14 Jun 2025 20:41:10 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=3059, Retrieved Sat, 14 Jun 2025 20:41:10 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

s0650550 s0650062

Estimated Impact

239

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [(Partial) Autocorrelation Function] [Inducing Stationa...] [2007-12-10 21:32:28] [ab924f39c1cc7a5dd22761038b10db61] [Current]

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Dataseries X:

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Histogram

Boxplots

1.1
1.3
1.2
1.6
1.7
1.5
0.9
1.5
1.4
1.6
1.7
1.4
1.8
1.7
1.4
1.2
1.0
1.7
2.4
2.0
2.1
2.0
1.8
2.7
2.3
1.9
2.0
2.3
2.8
2.4
2.3
2.7
2.7
2.9
3.0
2.2
2.3
2.8
2.8
2.8
2.2
2.6
2.8
2.5
2.4
2.3
1.9
1.7
2.0
2.1
1.7
1.8
1.8
1.8
1.3
1.3
1.3
1.2
1.4
2.2

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3059&T=0

[TABLE]
[ROW][C]Summary of compuational 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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3059&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3059&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 compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
0	1	6.8557	0
1	-0.113244	-0.7764	0.779288
2	-0.395214	-2.7095	0.995313
3	0.015786	0.1082	0.45714
4	-0.117146	-0.8031	0.787024
5	0.369671	2.5343	0.007328
6	0.025903	0.1776	0.429908
7	-0.309473	-2.1216	0.980415
8	0.02304	0.158	0.437585
9	-0.088477	-0.6066	0.726472
10	0.312086	2.1396	0.018807
11	0.257132	1.7628	0.042217
12	-0.572458	-3.9246	0.999859
13	-0.063537	-0.4356	0.667435
14	0.246257	1.6883	0.048994
15	0.024591	0.1686	0.433422
16	0.114606	0.7857	0.217993
17	-0.280448	-1.9227	0.969702
18	-0.081629	-0.5596	0.710803
19	0.15061	1.0325	0.153554
20	0.017392	0.1192	0.4528
21	0.096578	0.6621	0.25557
22	-0.117618	-0.8064	0.787949
23	-0.164264	-1.1261	0.867088
24	0.148783	1.02	0.156474
25	0.085204	0.5841	0.280963
26	-0.093134	-0.6385	0.736874
27	-0.01843	-0.1264	0.550004
28	-0.053039	-0.3636	0.641112
29	0.014851	0.1018	0.459669
30	0.040854	0.2801	0.390323
31	0.006372	0.0437	0.48267
32	0.013217	0.0906	0.464094
33	-0.020693	-0.1419	0.556102
34	0.018672	0.128	0.449344
35	0.045003	0.3085	0.379523
36	-0.028081	-0.1925	0.575915
37	-0.047675	-0.3268	0.62738
38	0.026181	0.1795	0.429163
39	-0.003659	-0.0251	0.509954
40	-0.008312	-0.057	0.5226
41	0.09657	0.6621	0.255586
42	0.030702	0.2105	0.4171
43	-0.034297	-0.2351	0.592434
44	-0.035749	-0.2451	0.596271
45	-0.01869	-0.1281	0.550705
46	-0.014792	-0.1014	0.54017
47	NA	NA	NA
48	NA	NA	NA
49	NA	NA	NA
50	NA	NA	NA
51	NA	NA	NA
52	NA	NA	NA
53	NA	NA	NA
54	NA	NA	NA
55	NA	NA	NA
56	NA	NA	NA
57	NA	NA	NA
58	NA	NA	NA
59	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
0 & 1 & 6.8557 & 0 \tabularnewline
1 & -0.113244 & -0.7764 & 0.779288 \tabularnewline
2 & -0.395214 & -2.7095 & 0.995313 \tabularnewline
3 & 0.015786 & 0.1082 & 0.45714 \tabularnewline
4 & -0.117146 & -0.8031 & 0.787024 \tabularnewline
5 & 0.369671 & 2.5343 & 0.007328 \tabularnewline
6 & 0.025903 & 0.1776 & 0.429908 \tabularnewline
7 & -0.309473 & -2.1216 & 0.980415 \tabularnewline
8 & 0.02304 & 0.158 & 0.437585 \tabularnewline
9 & -0.088477 & -0.6066 & 0.726472 \tabularnewline
10 & 0.312086 & 2.1396 & 0.018807 \tabularnewline
11 & 0.257132 & 1.7628 & 0.042217 \tabularnewline
12 & -0.572458 & -3.9246 & 0.999859 \tabularnewline
13 & -0.063537 & -0.4356 & 0.667435 \tabularnewline
14 & 0.246257 & 1.6883 & 0.048994 \tabularnewline
15 & 0.024591 & 0.1686 & 0.433422 \tabularnewline
16 & 0.114606 & 0.7857 & 0.217993 \tabularnewline
17 & -0.280448 & -1.9227 & 0.969702 \tabularnewline
18 & -0.081629 & -0.5596 & 0.710803 \tabularnewline
19 & 0.15061 & 1.0325 & 0.153554 \tabularnewline
20 & 0.017392 & 0.1192 & 0.4528 \tabularnewline
21 & 0.096578 & 0.6621 & 0.25557 \tabularnewline
22 & -0.117618 & -0.8064 & 0.787949 \tabularnewline
23 & -0.164264 & -1.1261 & 0.867088 \tabularnewline
24 & 0.148783 & 1.02 & 0.156474 \tabularnewline
25 & 0.085204 & 0.5841 & 0.280963 \tabularnewline
26 & -0.093134 & -0.6385 & 0.736874 \tabularnewline
27 & -0.01843 & -0.1264 & 0.550004 \tabularnewline
28 & -0.053039 & -0.3636 & 0.641112 \tabularnewline
29 & 0.014851 & 0.1018 & 0.459669 \tabularnewline
30 & 0.040854 & 0.2801 & 0.390323 \tabularnewline
31 & 0.006372 & 0.0437 & 0.48267 \tabularnewline
32 & 0.013217 & 0.0906 & 0.464094 \tabularnewline
33 & -0.020693 & -0.1419 & 0.556102 \tabularnewline
34 & 0.018672 & 0.128 & 0.449344 \tabularnewline
35 & 0.045003 & 0.3085 & 0.379523 \tabularnewline
36 & -0.028081 & -0.1925 & 0.575915 \tabularnewline
37 & -0.047675 & -0.3268 & 0.62738 \tabularnewline
38 & 0.026181 & 0.1795 & 0.429163 \tabularnewline
39 & -0.003659 & -0.0251 & 0.509954 \tabularnewline
40 & -0.008312 & -0.057 & 0.5226 \tabularnewline
41 & 0.09657 & 0.6621 & 0.255586 \tabularnewline
42 & 0.030702 & 0.2105 & 0.4171 \tabularnewline
43 & -0.034297 & -0.2351 & 0.592434 \tabularnewline
44 & -0.035749 & -0.2451 & 0.596271 \tabularnewline
45 & -0.01869 & -0.1281 & 0.550705 \tabularnewline
46 & -0.014792 & -0.1014 & 0.54017 \tabularnewline
47 & NA & NA & NA \tabularnewline
48 & NA & NA & NA \tabularnewline
49 & NA & NA & NA \tabularnewline
50 & NA & NA & NA \tabularnewline
51 & NA & NA & NA \tabularnewline
52 & NA & NA & NA \tabularnewline
53 & NA & NA & NA \tabularnewline
54 & NA & NA & NA \tabularnewline
55 & NA & NA & NA \tabularnewline
56 & NA & NA & NA \tabularnewline
57 & NA & NA & NA \tabularnewline
58 & NA & NA & NA \tabularnewline
59 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3059&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]0[/C][C]1[/C][C]6.8557[/C][C]0[/C][/ROW]
[ROW][C]1[/C][C]-0.113244[/C][C]-0.7764[/C][C]0.779288[/C][/ROW]
[ROW][C]2[/C][C]-0.395214[/C][C]-2.7095[/C][C]0.995313[/C][/ROW]
[ROW][C]3[/C][C]0.015786[/C][C]0.1082[/C][C]0.45714[/C][/ROW]
[ROW][C]4[/C][C]-0.117146[/C][C]-0.8031[/C][C]0.787024[/C][/ROW]
[ROW][C]5[/C][C]0.369671[/C][C]2.5343[/C][C]0.007328[/C][/ROW]
[ROW][C]6[/C][C]0.025903[/C][C]0.1776[/C][C]0.429908[/C][/ROW]
[ROW][C]7[/C][C]-0.309473[/C][C]-2.1216[/C][C]0.980415[/C][/ROW]
[ROW][C]8[/C][C]0.02304[/C][C]0.158[/C][C]0.437585[/C][/ROW]
[ROW][C]9[/C][C]-0.088477[/C][C]-0.6066[/C][C]0.726472[/C][/ROW]
[ROW][C]10[/C][C]0.312086[/C][C]2.1396[/C][C]0.018807[/C][/ROW]
[ROW][C]11[/C][C]0.257132[/C][C]1.7628[/C][C]0.042217[/C][/ROW]
[ROW][C]12[/C][C]-0.572458[/C][C]-3.9246[/C][C]0.999859[/C][/ROW]
[ROW][C]13[/C][C]-0.063537[/C][C]-0.4356[/C][C]0.667435[/C][/ROW]
[ROW][C]14[/C][C]0.246257[/C][C]1.6883[/C][C]0.048994[/C][/ROW]
[ROW][C]15[/C][C]0.024591[/C][C]0.1686[/C][C]0.433422[/C][/ROW]
[ROW][C]16[/C][C]0.114606[/C][C]0.7857[/C][C]0.217993[/C][/ROW]
[ROW][C]17[/C][C]-0.280448[/C][C]-1.9227[/C][C]0.969702[/C][/ROW]
[ROW][C]18[/C][C]-0.081629[/C][C]-0.5596[/C][C]0.710803[/C][/ROW]
[ROW][C]19[/C][C]0.15061[/C][C]1.0325[/C][C]0.153554[/C][/ROW]
[ROW][C]20[/C][C]0.017392[/C][C]0.1192[/C][C]0.4528[/C][/ROW]
[ROW][C]21[/C][C]0.096578[/C][C]0.6621[/C][C]0.25557[/C][/ROW]
[ROW][C]22[/C][C]-0.117618[/C][C]-0.8064[/C][C]0.787949[/C][/ROW]
[ROW][C]23[/C][C]-0.164264[/C][C]-1.1261[/C][C]0.867088[/C][/ROW]
[ROW][C]24[/C][C]0.148783[/C][C]1.02[/C][C]0.156474[/C][/ROW]
[ROW][C]25[/C][C]0.085204[/C][C]0.5841[/C][C]0.280963[/C][/ROW]
[ROW][C]26[/C][C]-0.093134[/C][C]-0.6385[/C][C]0.736874[/C][/ROW]
[ROW][C]27[/C][C]-0.01843[/C][C]-0.1264[/C][C]0.550004[/C][/ROW]
[ROW][C]28[/C][C]-0.053039[/C][C]-0.3636[/C][C]0.641112[/C][/ROW]
[ROW][C]29[/C][C]0.014851[/C][C]0.1018[/C][C]0.459669[/C][/ROW]
[ROW][C]30[/C][C]0.040854[/C][C]0.2801[/C][C]0.390323[/C][/ROW]
[ROW][C]31[/C][C]0.006372[/C][C]0.0437[/C][C]0.48267[/C][/ROW]
[ROW][C]32[/C][C]0.013217[/C][C]0.0906[/C][C]0.464094[/C][/ROW]
[ROW][C]33[/C][C]-0.020693[/C][C]-0.1419[/C][C]0.556102[/C][/ROW]
[ROW][C]34[/C][C]0.018672[/C][C]0.128[/C][C]0.449344[/C][/ROW]
[ROW][C]35[/C][C]0.045003[/C][C]0.3085[/C][C]0.379523[/C][/ROW]
[ROW][C]36[/C][C]-0.028081[/C][C]-0.1925[/C][C]0.575915[/C][/ROW]
[ROW][C]37[/C][C]-0.047675[/C][C]-0.3268[/C][C]0.62738[/C][/ROW]
[ROW][C]38[/C][C]0.026181[/C][C]0.1795[/C][C]0.429163[/C][/ROW]
[ROW][C]39[/C][C]-0.003659[/C][C]-0.0251[/C][C]0.509954[/C][/ROW]
[ROW][C]40[/C][C]-0.008312[/C][C]-0.057[/C][C]0.5226[/C][/ROW]
[ROW][C]41[/C][C]0.09657[/C][C]0.6621[/C][C]0.255586[/C][/ROW]
[ROW][C]42[/C][C]0.030702[/C][C]0.2105[/C][C]0.4171[/C][/ROW]
[ROW][C]43[/C][C]-0.034297[/C][C]-0.2351[/C][C]0.592434[/C][/ROW]
[ROW][C]44[/C][C]-0.035749[/C][C]-0.2451[/C][C]0.596271[/C][/ROW]
[ROW][C]45[/C][C]-0.01869[/C][C]-0.1281[/C][C]0.550705[/C][/ROW]
[ROW][C]46[/C][C]-0.014792[/C][C]-0.1014[/C][C]0.54017[/C][/ROW]
[ROW][C]47[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]48[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]49[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]50[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]51[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]52[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]53[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]54[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]55[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3059&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3059&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 k	ACF(k)	T-STAT	P-value
0	1	6.8557	0
1	-0.113244	-0.7764	0.779288
2	-0.395214	-2.7095	0.995313
3	0.015786	0.1082	0.45714
4	-0.117146	-0.8031	0.787024
5	0.369671	2.5343	0.007328
6	0.025903	0.1776	0.429908
7	-0.309473	-2.1216	0.980415
8	0.02304	0.158	0.437585
9	-0.088477	-0.6066	0.726472
10	0.312086	2.1396	0.018807
11	0.257132	1.7628	0.042217
12	-0.572458	-3.9246	0.999859
13	-0.063537	-0.4356	0.667435
14	0.246257	1.6883	0.048994
15	0.024591	0.1686	0.433422
16	0.114606	0.7857	0.217993
17	-0.280448	-1.9227	0.969702
18	-0.081629	-0.5596	0.710803
19	0.15061	1.0325	0.153554
20	0.017392	0.1192	0.4528
21	0.096578	0.6621	0.25557
22	-0.117618	-0.8064	0.787949
23	-0.164264	-1.1261	0.867088
24	0.148783	1.02	0.156474
25	0.085204	0.5841	0.280963
26	-0.093134	-0.6385	0.736874
27	-0.01843	-0.1264	0.550004
28	-0.053039	-0.3636	0.641112
29	0.014851	0.1018	0.459669
30	0.040854	0.2801	0.390323
31	0.006372	0.0437	0.48267
32	0.013217	0.0906	0.464094
33	-0.020693	-0.1419	0.556102
34	0.018672	0.128	0.449344
35	0.045003	0.3085	0.379523
36	-0.028081	-0.1925	0.575915
37	-0.047675	-0.3268	0.62738
38	0.026181	0.1795	0.429163
39	-0.003659	-0.0251	0.509954
40	-0.008312	-0.057	0.5226
41	0.09657	0.6621	0.255586
42	0.030702	0.2105	0.4171
43	-0.034297	-0.2351	0.592434
44	-0.035749	-0.2451	0.596271
45	-0.01869	-0.1281	0.550705
46	-0.014792	-0.1014	0.54017
47	NA	NA	NA
48	NA	NA	NA
49	NA	NA	NA
50	NA	NA	NA
51	NA	NA	NA
52	NA	NA	NA
53	NA	NA	NA
54	NA	NA	NA
55	NA	NA	NA
56	NA	NA	NA
57	NA	NA	NA
58	NA	NA	NA
59	NA	NA	NA

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
0	-0.113244	-0.7764	0.779288
1	-0.413339	-2.8337	0.99662
2	-0.115181	-0.7896	0.783148
3	-0.368417	-2.5257	0.992512
4	0.332679	2.2807	0.013571
5	-0.10281	-0.7048	0.757803
6	0.031377	0.2151	0.415306
7	-0.125679	-0.8616	0.803363
8	-0.148639	-1.019	0.843294
9	0.23875	1.6368	0.054177
10	0.239962	1.6451	0.053311
11	-0.314471	-2.1559	0.981879
12	-0.0061	-0.0418	0.51659
13	-0.01366	-0.0936	0.537106
14	-0.039535	-0.271	0.606226
15	-0.085739	-0.5878	0.720259
16	-0.034621	-0.2373	0.593291
17	0.000637	0.0044	0.498268
18	-0.174673	-1.1975	0.881441
19	0.014005	0.096	0.461959
20	-0.197882	-1.3566	0.909307
21	0.180257	1.2358	0.111341
22	0.033468	0.2294	0.409759
23	-0.128224	-0.8791	0.80808
24	-0.060667	-0.4159	0.660315
25	-0.071279	-0.4887	0.686323
26	0.047946	0.3287	0.371921
27	-0.037288	-0.2556	0.600325
28	-0.119373	-0.8184	0.791365
29	-0.114451	-0.7846	0.781698
30	0.008854	0.0607	0.475928
31	-0.04444	-0.3047	0.619017
32	0.01718	0.1178	0.453372
33	0.057382	0.3934	0.347904
34	0.114419	0.7844	0.218366
35	-0.146489	-1.0043	0.839806
36	0.002932	0.0201	0.492025
37	-0.123641	-0.8476	0.799533
38	0.057859	0.3967	0.346706
39	0.041542	0.2848	0.388524
40	0.05608	0.3845	0.351183
41	0.023414	0.1605	0.43658
42	0.034179	0.2343	0.407877
43	-0.008328	-0.0571	0.522644
44	-0.045227	-0.3101	0.621057
45	-0.093492	-0.6409	0.737665
46	NA	NA	NA
47	NA	NA	NA
48	NA	NA	NA
49	NA	NA	NA
50	NA	NA	NA
51	NA	NA	NA
52	NA	NA	NA
53	NA	NA	NA
54	NA	NA	NA
55	NA	NA	NA
56	NA	NA	NA
57	NA	NA	NA
58	NA	NA	NA
59	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
0 & -0.113244 & -0.7764 & 0.779288 \tabularnewline
1 & -0.413339 & -2.8337 & 0.99662 \tabularnewline
2 & -0.115181 & -0.7896 & 0.783148 \tabularnewline
3 & -0.368417 & -2.5257 & 0.992512 \tabularnewline
4 & 0.332679 & 2.2807 & 0.013571 \tabularnewline
5 & -0.10281 & -0.7048 & 0.757803 \tabularnewline
6 & 0.031377 & 0.2151 & 0.415306 \tabularnewline
7 & -0.125679 & -0.8616 & 0.803363 \tabularnewline
8 & -0.148639 & -1.019 & 0.843294 \tabularnewline
9 & 0.23875 & 1.6368 & 0.054177 \tabularnewline
10 & 0.239962 & 1.6451 & 0.053311 \tabularnewline
11 & -0.314471 & -2.1559 & 0.981879 \tabularnewline
12 & -0.0061 & -0.0418 & 0.51659 \tabularnewline
13 & -0.01366 & -0.0936 & 0.537106 \tabularnewline
14 & -0.039535 & -0.271 & 0.606226 \tabularnewline
15 & -0.085739 & -0.5878 & 0.720259 \tabularnewline
16 & -0.034621 & -0.2373 & 0.593291 \tabularnewline
17 & 0.000637 & 0.0044 & 0.498268 \tabularnewline
18 & -0.174673 & -1.1975 & 0.881441 \tabularnewline
19 & 0.014005 & 0.096 & 0.461959 \tabularnewline
20 & -0.197882 & -1.3566 & 0.909307 \tabularnewline
21 & 0.180257 & 1.2358 & 0.111341 \tabularnewline
22 & 0.033468 & 0.2294 & 0.409759 \tabularnewline
23 & -0.128224 & -0.8791 & 0.80808 \tabularnewline
24 & -0.060667 & -0.4159 & 0.660315 \tabularnewline
25 & -0.071279 & -0.4887 & 0.686323 \tabularnewline
26 & 0.047946 & 0.3287 & 0.371921 \tabularnewline
27 & -0.037288 & -0.2556 & 0.600325 \tabularnewline
28 & -0.119373 & -0.8184 & 0.791365 \tabularnewline
29 & -0.114451 & -0.7846 & 0.781698 \tabularnewline
30 & 0.008854 & 0.0607 & 0.475928 \tabularnewline
31 & -0.04444 & -0.3047 & 0.619017 \tabularnewline
32 & 0.01718 & 0.1178 & 0.453372 \tabularnewline
33 & 0.057382 & 0.3934 & 0.347904 \tabularnewline
34 & 0.114419 & 0.7844 & 0.218366 \tabularnewline
35 & -0.146489 & -1.0043 & 0.839806 \tabularnewline
36 & 0.002932 & 0.0201 & 0.492025 \tabularnewline
37 & -0.123641 & -0.8476 & 0.799533 \tabularnewline
38 & 0.057859 & 0.3967 & 0.346706 \tabularnewline
39 & 0.041542 & 0.2848 & 0.388524 \tabularnewline
40 & 0.05608 & 0.3845 & 0.351183 \tabularnewline
41 & 0.023414 & 0.1605 & 0.43658 \tabularnewline
42 & 0.034179 & 0.2343 & 0.407877 \tabularnewline
43 & -0.008328 & -0.0571 & 0.522644 \tabularnewline
44 & -0.045227 & -0.3101 & 0.621057 \tabularnewline
45 & -0.093492 & -0.6409 & 0.737665 \tabularnewline
46 & NA & NA & NA \tabularnewline
47 & NA & NA & NA \tabularnewline
48 & NA & NA & NA \tabularnewline
49 & NA & NA & NA \tabularnewline
50 & NA & NA & NA \tabularnewline
51 & NA & NA & NA \tabularnewline
52 & NA & NA & NA \tabularnewline
53 & NA & NA & NA \tabularnewline
54 & NA & NA & NA \tabularnewline
55 & NA & NA & NA \tabularnewline
56 & NA & NA & NA \tabularnewline
57 & NA & NA & NA \tabularnewline
58 & NA & NA & NA \tabularnewline
59 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=3059&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]0[/C][C]-0.113244[/C][C]-0.7764[/C][C]0.779288[/C][/ROW]
[ROW][C]1[/C][C]-0.413339[/C][C]-2.8337[/C][C]0.99662[/C][/ROW]
[ROW][C]2[/C][C]-0.115181[/C][C]-0.7896[/C][C]0.783148[/C][/ROW]
[ROW][C]3[/C][C]-0.368417[/C][C]-2.5257[/C][C]0.992512[/C][/ROW]
[ROW][C]4[/C][C]0.332679[/C][C]2.2807[/C][C]0.013571[/C][/ROW]
[ROW][C]5[/C][C]-0.10281[/C][C]-0.7048[/C][C]0.757803[/C][/ROW]
[ROW][C]6[/C][C]0.031377[/C][C]0.2151[/C][C]0.415306[/C][/ROW]
[ROW][C]7[/C][C]-0.125679[/C][C]-0.8616[/C][C]0.803363[/C][/ROW]
[ROW][C]8[/C][C]-0.148639[/C][C]-1.019[/C][C]0.843294[/C][/ROW]
[ROW][C]9[/C][C]0.23875[/C][C]1.6368[/C][C]0.054177[/C][/ROW]
[ROW][C]10[/C][C]0.239962[/C][C]1.6451[/C][C]0.053311[/C][/ROW]
[ROW][C]11[/C][C]-0.314471[/C][C]-2.1559[/C][C]0.981879[/C][/ROW]
[ROW][C]12[/C][C]-0.0061[/C][C]-0.0418[/C][C]0.51659[/C][/ROW]
[ROW][C]13[/C][C]-0.01366[/C][C]-0.0936[/C][C]0.537106[/C][/ROW]
[ROW][C]14[/C][C]-0.039535[/C][C]-0.271[/C][C]0.606226[/C][/ROW]
[ROW][C]15[/C][C]-0.085739[/C][C]-0.5878[/C][C]0.720259[/C][/ROW]
[ROW][C]16[/C][C]-0.034621[/C][C]-0.2373[/C][C]0.593291[/C][/ROW]
[ROW][C]17[/C][C]0.000637[/C][C]0.0044[/C][C]0.498268[/C][/ROW]
[ROW][C]18[/C][C]-0.174673[/C][C]-1.1975[/C][C]0.881441[/C][/ROW]
[ROW][C]19[/C][C]0.014005[/C][C]0.096[/C][C]0.461959[/C][/ROW]
[ROW][C]20[/C][C]-0.197882[/C][C]-1.3566[/C][C]0.909307[/C][/ROW]
[ROW][C]21[/C][C]0.180257[/C][C]1.2358[/C][C]0.111341[/C][/ROW]
[ROW][C]22[/C][C]0.033468[/C][C]0.2294[/C][C]0.409759[/C][/ROW]
[ROW][C]23[/C][C]-0.128224[/C][C]-0.8791[/C][C]0.80808[/C][/ROW]
[ROW][C]24[/C][C]-0.060667[/C][C]-0.4159[/C][C]0.660315[/C][/ROW]
[ROW][C]25[/C][C]-0.071279[/C][C]-0.4887[/C][C]0.686323[/C][/ROW]
[ROW][C]26[/C][C]0.047946[/C][C]0.3287[/C][C]0.371921[/C][/ROW]
[ROW][C]27[/C][C]-0.037288[/C][C]-0.2556[/C][C]0.600325[/C][/ROW]
[ROW][C]28[/C][C]-0.119373[/C][C]-0.8184[/C][C]0.791365[/C][/ROW]
[ROW][C]29[/C][C]-0.114451[/C][C]-0.7846[/C][C]0.781698[/C][/ROW]
[ROW][C]30[/C][C]0.008854[/C][C]0.0607[/C][C]0.475928[/C][/ROW]
[ROW][C]31[/C][C]-0.04444[/C][C]-0.3047[/C][C]0.619017[/C][/ROW]
[ROW][C]32[/C][C]0.01718[/C][C]0.1178[/C][C]0.453372[/C][/ROW]
[ROW][C]33[/C][C]0.057382[/C][C]0.3934[/C][C]0.347904[/C][/ROW]
[ROW][C]34[/C][C]0.114419[/C][C]0.7844[/C][C]0.218366[/C][/ROW]
[ROW][C]35[/C][C]-0.146489[/C][C]-1.0043[/C][C]0.839806[/C][/ROW]
[ROW][C]36[/C][C]0.002932[/C][C]0.0201[/C][C]0.492025[/C][/ROW]
[ROW][C]37[/C][C]-0.123641[/C][C]-0.8476[/C][C]0.799533[/C][/ROW]
[ROW][C]38[/C][C]0.057859[/C][C]0.3967[/C][C]0.346706[/C][/ROW]
[ROW][C]39[/C][C]0.041542[/C][C]0.2848[/C][C]0.388524[/C][/ROW]
[ROW][C]40[/C][C]0.05608[/C][C]0.3845[/C][C]0.351183[/C][/ROW]
[ROW][C]41[/C][C]0.023414[/C][C]0.1605[/C][C]0.43658[/C][/ROW]
[ROW][C]42[/C][C]0.034179[/C][C]0.2343[/C][C]0.407877[/C][/ROW]
[ROW][C]43[/C][C]-0.008328[/C][C]-0.0571[/C][C]0.522644[/C][/ROW]
[ROW][C]44[/C][C]-0.045227[/C][C]-0.3101[/C][C]0.621057[/C][/ROW]
[ROW][C]45[/C][C]-0.093492[/C][C]-0.6409[/C][C]0.737665[/C][/ROW]
[ROW][C]46[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]47[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]48[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]49[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]50[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]51[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]52[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]53[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]54[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]55[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]56[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]57[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]58[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]59[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=3059&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=3059&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 k	PACF(k)	T-STAT	P-value
0	-0.113244	-0.7764	0.779288
1	-0.413339	-2.8337	0.99662
2	-0.115181	-0.7896	0.783148
3	-0.368417	-2.5257	0.992512
4	0.332679	2.2807	0.013571
5	-0.10281	-0.7048	0.757803
6	0.031377	0.2151	0.415306
7	-0.125679	-0.8616	0.803363
8	-0.148639	-1.019	0.843294
9	0.23875	1.6368	0.054177
10	0.239962	1.6451	0.053311
11	-0.314471	-2.1559	0.981879
12	-0.0061	-0.0418	0.51659
13	-0.01366	-0.0936	0.537106
14	-0.039535	-0.271	0.606226
15	-0.085739	-0.5878	0.720259
16	-0.034621	-0.2373	0.593291
17	0.000637	0.0044	0.498268
18	-0.174673	-1.1975	0.881441
19	0.014005	0.096	0.461959
20	-0.197882	-1.3566	0.909307
21	0.180257	1.2358	0.111341
22	0.033468	0.2294	0.409759
23	-0.128224	-0.8791	0.80808
24	-0.060667	-0.4159	0.660315
25	-0.071279	-0.4887	0.686323
26	0.047946	0.3287	0.371921
27	-0.037288	-0.2556	0.600325
28	-0.119373	-0.8184	0.791365
29	-0.114451	-0.7846	0.781698
30	0.008854	0.0607	0.475928
31	-0.04444	-0.3047	0.619017
32	0.01718	0.1178	0.453372
33	0.057382	0.3934	0.347904
34	0.114419	0.7844	0.218366
35	-0.146489	-1.0043	0.839806
36	0.002932	0.0201	0.492025
37	-0.123641	-0.8476	0.799533
38	0.057859	0.3967	0.346706
39	0.041542	0.2848	0.388524
40	0.05608	0.3845	0.351183
41	0.023414	0.1605	0.43658
42	0.034179	0.2343	0.407877
43	-0.008328	-0.0571	0.522644
44	-0.045227	-0.3101	0.621057
45	-0.093492	-0.6409	0.737665
46	NA	NA	NA
47	NA	NA	NA
48	NA	NA	NA
49	NA	NA	NA
50	NA	NA	NA
51	NA	NA	NA
52	NA	NA	NA
53	NA	NA	NA
54	NA	NA	NA
55	NA	NA	NA
56	NA	NA	NA
57	NA	NA	NA
58	NA	NA	NA
59	NA	NA	NA

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ;

Parameters (R input):

par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ;

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 (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x,par1,main='Autocorrelation',xlab='lags',ylab='ACF')
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
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 1:par1) {
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(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-1,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(mytstat,lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code