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R Software Module

rwasp_autocorrelation.wasp

Title produced by software

(Partial) Autocorrelation Function

Date of computation

Thu, 10 Dec 2009 09:08:15 -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/2009/Dec/10/t1260461340pltk62s1wk0lgcg.htm/, Retrieved Tue, 23 Apr 2024 07:43:40 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=65533, Retrieved Tue, 23 Apr 2024 07:43:40 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

141

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

-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [(Partial) Autocorrelation Function] [Identifying Integ...] [2009-11-22 12:16:10] [b98453cac15ba1066b407e146608df68]
-   PD        [(Partial) Autocorrelation Function] [Ws 8.2] [2009-11-25 19:27:18] [830e13ac5e5ac1e5b21c6af0c149b21d]
-   PD          [(Partial) Autocorrelation Function] [WS 9 ACF] [2009-12-04 15:17:34] [830e13ac5e5ac1e5b21c6af0c149b21d]
-   PD            [(Partial) Autocorrelation Function] [ws9 acf] [2009-12-04 20:29:00] [95cead3ebb75668735f848316249436a]
- R P                 [(Partial) Autocorrelation Function] [] [2009-12-10 16:08:15] [54e293c1fb7c46e2abc5c1dda68d8adb] [Current]

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Dataseries X:

Download CSV

Histogram

Boxplots

2.05
2.11
2.09
2.05
2.08
2.06
2.06
2.08
2.07
2.06
2.07
2.06
2.09
2.07
2.09
2.28
2.33
2.35
2.52
2.63
2.58
2.70
2.81
2.97
3.04
3.28
3.33
3.50
3.56
3.57
3.69
3.82
3.79
3.96
4.06
4.05
4.03
3.94
4.02
3.88
4.02
4.03
4.09
3.99
4.01
4.01
4.19
4.30
4.27
3.82
3.15
2.49
1.81
1.26
1.06
0.84
0.78
0.70
0.36
0.35

Summary of computational 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 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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65533&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65533&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65533&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 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
1	-0.228429	-1.7397	0.043611
2	0.132559	1.0095	0.158454
3	-0.06744	-0.5136	0.304739
4	-0.122615	-0.9338	0.177138
5	-0.245525	-1.8699	0.033276
6	0.105867	0.8063	0.211693
7	-0.067612	-0.5149	0.304284
8	0.131352	1.0003	0.160649
9	-0.026849	-0.2045	0.419348
10	-0.067885	-0.517	0.303563
11	-0.062991	-0.4797	0.316614
12	-0.083689	-0.6374	0.2632
13	0.137594	1.0479	0.14952
14	-0.098637	-0.7512	0.227787
15	0.207252	1.5784	0.059959
16	-0.099822	-0.7602	0.225101
17	0.044487	0.3388	0.367991
18	-0.141331	-1.0763	0.143115
19	0.152239	1.1594	0.125519
20	-0.198145	-1.509	0.06836
21	0.180423	1.3741	0.087355
22	-0.135805	-1.0343	0.152654
23	0.169665	1.2921	0.100718
24	-0.073392	-0.5589	0.289178
25	-0.079441	-0.605	0.273768
26	0.094469	0.7195	0.237375
27	-0.060868	-0.4636	0.32235
28	-0.126415	-0.9628	0.169835
29	0.135491	1.0319	0.153209
30	-0.007343	-0.0559	0.477797
31	-0.048994	-0.3731	0.355208
32	0.081093	0.6176	0.269633
33	-0.026327	-0.2005	0.420896
34	0.000461	0.0035	0.498604
35	-0.077157	-0.5876	0.279538
36	0.056274	0.4286	0.334913
37	-0.077554	-0.5906	0.278531
38	0.067394	0.5133	0.30486
39	0.0143	0.1089	0.456828
40	-0.055846	-0.4253	0.336092
41	0.069579	0.5299	0.299103
42	0.036667	0.2792	0.390524
43	-0.098116	-0.7472	0.228973
44	0.046177	0.3517	0.363179
45	0.006218	0.0474	0.481198
46	-0.023499	-0.179	0.429295
47	0.056737	0.4321	0.333636
48	-3.2e-05	-2e-04	0.499902
49	0.001629	0.0124	0.495073
50	0.029922	0.2279	0.410269
51	-0.03473	-0.2645	0.396167
52	-0.011186	-0.0852	0.466201
53	0.014007	0.1067	0.457707
54	-0.039218	-0.2987	0.383126
55	0.025007	0.1904	0.424812
56	0.011837	0.0901	0.46424
57	-0.021805	-0.1661	0.434342
58	NA	NA	NA
59	NA	NA	NA
60	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.228429 & -1.7397 & 0.043611 \tabularnewline
2 & 0.132559 & 1.0095 & 0.158454 \tabularnewline
3 & -0.06744 & -0.5136 & 0.304739 \tabularnewline
4 & -0.122615 & -0.9338 & 0.177138 \tabularnewline
5 & -0.245525 & -1.8699 & 0.033276 \tabularnewline
6 & 0.105867 & 0.8063 & 0.211693 \tabularnewline
7 & -0.067612 & -0.5149 & 0.304284 \tabularnewline
8 & 0.131352 & 1.0003 & 0.160649 \tabularnewline
9 & -0.026849 & -0.2045 & 0.419348 \tabularnewline
10 & -0.067885 & -0.517 & 0.303563 \tabularnewline
11 & -0.062991 & -0.4797 & 0.316614 \tabularnewline
12 & -0.083689 & -0.6374 & 0.2632 \tabularnewline
13 & 0.137594 & 1.0479 & 0.14952 \tabularnewline
14 & -0.098637 & -0.7512 & 0.227787 \tabularnewline
15 & 0.207252 & 1.5784 & 0.059959 \tabularnewline
16 & -0.099822 & -0.7602 & 0.225101 \tabularnewline
17 & 0.044487 & 0.3388 & 0.367991 \tabularnewline
18 & -0.141331 & -1.0763 & 0.143115 \tabularnewline
19 & 0.152239 & 1.1594 & 0.125519 \tabularnewline
20 & -0.198145 & -1.509 & 0.06836 \tabularnewline
21 & 0.180423 & 1.3741 & 0.087355 \tabularnewline
22 & -0.135805 & -1.0343 & 0.152654 \tabularnewline
23 & 0.169665 & 1.2921 & 0.100718 \tabularnewline
24 & -0.073392 & -0.5589 & 0.289178 \tabularnewline
25 & -0.079441 & -0.605 & 0.273768 \tabularnewline
26 & 0.094469 & 0.7195 & 0.237375 \tabularnewline
27 & -0.060868 & -0.4636 & 0.32235 \tabularnewline
28 & -0.126415 & -0.9628 & 0.169835 \tabularnewline
29 & 0.135491 & 1.0319 & 0.153209 \tabularnewline
30 & -0.007343 & -0.0559 & 0.477797 \tabularnewline
31 & -0.048994 & -0.3731 & 0.355208 \tabularnewline
32 & 0.081093 & 0.6176 & 0.269633 \tabularnewline
33 & -0.026327 & -0.2005 & 0.420896 \tabularnewline
34 & 0.000461 & 0.0035 & 0.498604 \tabularnewline
35 & -0.077157 & -0.5876 & 0.279538 \tabularnewline
36 & 0.056274 & 0.4286 & 0.334913 \tabularnewline
37 & -0.077554 & -0.5906 & 0.278531 \tabularnewline
38 & 0.067394 & 0.5133 & 0.30486 \tabularnewline
39 & 0.0143 & 0.1089 & 0.456828 \tabularnewline
40 & -0.055846 & -0.4253 & 0.336092 \tabularnewline
41 & 0.069579 & 0.5299 & 0.299103 \tabularnewline
42 & 0.036667 & 0.2792 & 0.390524 \tabularnewline
43 & -0.098116 & -0.7472 & 0.228973 \tabularnewline
44 & 0.046177 & 0.3517 & 0.363179 \tabularnewline
45 & 0.006218 & 0.0474 & 0.481198 \tabularnewline
46 & -0.023499 & -0.179 & 0.429295 \tabularnewline
47 & 0.056737 & 0.4321 & 0.333636 \tabularnewline
48 & -3.2e-05 & -2e-04 & 0.499902 \tabularnewline
49 & 0.001629 & 0.0124 & 0.495073 \tabularnewline
50 & 0.029922 & 0.2279 & 0.410269 \tabularnewline
51 & -0.03473 & -0.2645 & 0.396167 \tabularnewline
52 & -0.011186 & -0.0852 & 0.466201 \tabularnewline
53 & 0.014007 & 0.1067 & 0.457707 \tabularnewline
54 & -0.039218 & -0.2987 & 0.383126 \tabularnewline
55 & 0.025007 & 0.1904 & 0.424812 \tabularnewline
56 & 0.011837 & 0.0901 & 0.46424 \tabularnewline
57 & -0.021805 & -0.1661 & 0.434342 \tabularnewline
58 & NA & NA & NA \tabularnewline
59 & NA & NA & NA \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65533&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]-0.228429[/C][C]-1.7397[/C][C]0.043611[/C][/ROW]
[ROW][C]2[/C][C]0.132559[/C][C]1.0095[/C][C]0.158454[/C][/ROW]
[ROW][C]3[/C][C]-0.06744[/C][C]-0.5136[/C][C]0.304739[/C][/ROW]
[ROW][C]4[/C][C]-0.122615[/C][C]-0.9338[/C][C]0.177138[/C][/ROW]
[ROW][C]5[/C][C]-0.245525[/C][C]-1.8699[/C][C]0.033276[/C][/ROW]
[ROW][C]6[/C][C]0.105867[/C][C]0.8063[/C][C]0.211693[/C][/ROW]
[ROW][C]7[/C][C]-0.067612[/C][C]-0.5149[/C][C]0.304284[/C][/ROW]
[ROW][C]8[/C][C]0.131352[/C][C]1.0003[/C][C]0.160649[/C][/ROW]
[ROW][C]9[/C][C]-0.026849[/C][C]-0.2045[/C][C]0.419348[/C][/ROW]
[ROW][C]10[/C][C]-0.067885[/C][C]-0.517[/C][C]0.303563[/C][/ROW]
[ROW][C]11[/C][C]-0.062991[/C][C]-0.4797[/C][C]0.316614[/C][/ROW]
[ROW][C]12[/C][C]-0.083689[/C][C]-0.6374[/C][C]0.2632[/C][/ROW]
[ROW][C]13[/C][C]0.137594[/C][C]1.0479[/C][C]0.14952[/C][/ROW]
[ROW][C]14[/C][C]-0.098637[/C][C]-0.7512[/C][C]0.227787[/C][/ROW]
[ROW][C]15[/C][C]0.207252[/C][C]1.5784[/C][C]0.059959[/C][/ROW]
[ROW][C]16[/C][C]-0.099822[/C][C]-0.7602[/C][C]0.225101[/C][/ROW]
[ROW][C]17[/C][C]0.044487[/C][C]0.3388[/C][C]0.367991[/C][/ROW]
[ROW][C]18[/C][C]-0.141331[/C][C]-1.0763[/C][C]0.143115[/C][/ROW]
[ROW][C]19[/C][C]0.152239[/C][C]1.1594[/C][C]0.125519[/C][/ROW]
[ROW][C]20[/C][C]-0.198145[/C][C]-1.509[/C][C]0.06836[/C][/ROW]
[ROW][C]21[/C][C]0.180423[/C][C]1.3741[/C][C]0.087355[/C][/ROW]
[ROW][C]22[/C][C]-0.135805[/C][C]-1.0343[/C][C]0.152654[/C][/ROW]
[ROW][C]23[/C][C]0.169665[/C][C]1.2921[/C][C]0.100718[/C][/ROW]
[ROW][C]24[/C][C]-0.073392[/C][C]-0.5589[/C][C]0.289178[/C][/ROW]
[ROW][C]25[/C][C]-0.079441[/C][C]-0.605[/C][C]0.273768[/C][/ROW]
[ROW][C]26[/C][C]0.094469[/C][C]0.7195[/C][C]0.237375[/C][/ROW]
[ROW][C]27[/C][C]-0.060868[/C][C]-0.4636[/C][C]0.32235[/C][/ROW]
[ROW][C]28[/C][C]-0.126415[/C][C]-0.9628[/C][C]0.169835[/C][/ROW]
[ROW][C]29[/C][C]0.135491[/C][C]1.0319[/C][C]0.153209[/C][/ROW]
[ROW][C]30[/C][C]-0.007343[/C][C]-0.0559[/C][C]0.477797[/C][/ROW]
[ROW][C]31[/C][C]-0.048994[/C][C]-0.3731[/C][C]0.355208[/C][/ROW]
[ROW][C]32[/C][C]0.081093[/C][C]0.6176[/C][C]0.269633[/C][/ROW]
[ROW][C]33[/C][C]-0.026327[/C][C]-0.2005[/C][C]0.420896[/C][/ROW]
[ROW][C]34[/C][C]0.000461[/C][C]0.0035[/C][C]0.498604[/C][/ROW]
[ROW][C]35[/C][C]-0.077157[/C][C]-0.5876[/C][C]0.279538[/C][/ROW]
[ROW][C]36[/C][C]0.056274[/C][C]0.4286[/C][C]0.334913[/C][/ROW]
[ROW][C]37[/C][C]-0.077554[/C][C]-0.5906[/C][C]0.278531[/C][/ROW]
[ROW][C]38[/C][C]0.067394[/C][C]0.5133[/C][C]0.30486[/C][/ROW]
[ROW][C]39[/C][C]0.0143[/C][C]0.1089[/C][C]0.456828[/C][/ROW]
[ROW][C]40[/C][C]-0.055846[/C][C]-0.4253[/C][C]0.336092[/C][/ROW]
[ROW][C]41[/C][C]0.069579[/C][C]0.5299[/C][C]0.299103[/C][/ROW]
[ROW][C]42[/C][C]0.036667[/C][C]0.2792[/C][C]0.390524[/C][/ROW]
[ROW][C]43[/C][C]-0.098116[/C][C]-0.7472[/C][C]0.228973[/C][/ROW]
[ROW][C]44[/C][C]0.046177[/C][C]0.3517[/C][C]0.363179[/C][/ROW]
[ROW][C]45[/C][C]0.006218[/C][C]0.0474[/C][C]0.481198[/C][/ROW]
[ROW][C]46[/C][C]-0.023499[/C][C]-0.179[/C][C]0.429295[/C][/ROW]
[ROW][C]47[/C][C]0.056737[/C][C]0.4321[/C][C]0.333636[/C][/ROW]
[ROW][C]48[/C][C]-3.2e-05[/C][C]-2e-04[/C][C]0.499902[/C][/ROW]
[ROW][C]49[/C][C]0.001629[/C][C]0.0124[/C][C]0.495073[/C][/ROW]
[ROW][C]50[/C][C]0.029922[/C][C]0.2279[/C][C]0.410269[/C][/ROW]
[ROW][C]51[/C][C]-0.03473[/C][C]-0.2645[/C][C]0.396167[/C][/ROW]
[ROW][C]52[/C][C]-0.011186[/C][C]-0.0852[/C][C]0.466201[/C][/ROW]
[ROW][C]53[/C][C]0.014007[/C][C]0.1067[/C][C]0.457707[/C][/ROW]
[ROW][C]54[/C][C]-0.039218[/C][C]-0.2987[/C][C]0.383126[/C][/ROW]
[ROW][C]55[/C][C]0.025007[/C][C]0.1904[/C][C]0.424812[/C][/ROW]
[ROW][C]56[/C][C]0.011837[/C][C]0.0901[/C][C]0.46424[/C][/ROW]
[ROW][C]57[/C][C]-0.021805[/C][C]-0.1661[/C][C]0.434342[/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]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65533&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65533&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
1	-0.228429	-1.7397	0.043611
2	0.132559	1.0095	0.158454
3	-0.06744	-0.5136	0.304739
4	-0.122615	-0.9338	0.177138
5	-0.245525	-1.8699	0.033276
6	0.105867	0.8063	0.211693
7	-0.067612	-0.5149	0.304284
8	0.131352	1.0003	0.160649
9	-0.026849	-0.2045	0.419348
10	-0.067885	-0.517	0.303563
11	-0.062991	-0.4797	0.316614
12	-0.083689	-0.6374	0.2632
13	0.137594	1.0479	0.14952
14	-0.098637	-0.7512	0.227787
15	0.207252	1.5784	0.059959
16	-0.099822	-0.7602	0.225101
17	0.044487	0.3388	0.367991
18	-0.141331	-1.0763	0.143115
19	0.152239	1.1594	0.125519
20	-0.198145	-1.509	0.06836
21	0.180423	1.3741	0.087355
22	-0.135805	-1.0343	0.152654
23	0.169665	1.2921	0.100718
24	-0.073392	-0.5589	0.289178
25	-0.079441	-0.605	0.273768
26	0.094469	0.7195	0.237375
27	-0.060868	-0.4636	0.32235
28	-0.126415	-0.9628	0.169835
29	0.135491	1.0319	0.153209
30	-0.007343	-0.0559	0.477797
31	-0.048994	-0.3731	0.355208
32	0.081093	0.6176	0.269633
33	-0.026327	-0.2005	0.420896
34	0.000461	0.0035	0.498604
35	-0.077157	-0.5876	0.279538
36	0.056274	0.4286	0.334913
37	-0.077554	-0.5906	0.278531
38	0.067394	0.5133	0.30486
39	0.0143	0.1089	0.456828
40	-0.055846	-0.4253	0.336092
41	0.069579	0.5299	0.299103
42	0.036667	0.2792	0.390524
43	-0.098116	-0.7472	0.228973
44	0.046177	0.3517	0.363179
45	0.006218	0.0474	0.481198
46	-0.023499	-0.179	0.429295
47	0.056737	0.4321	0.333636
48	-3.2e-05	-2e-04	0.499902
49	0.001629	0.0124	0.495073
50	0.029922	0.2279	0.410269
51	-0.03473	-0.2645	0.396167
52	-0.011186	-0.0852	0.466201
53	0.014007	0.1067	0.457707
54	-0.039218	-0.2987	0.383126
55	0.025007	0.1904	0.424812
56	0.011837	0.0901	0.46424
57	-0.021805	-0.1661	0.434342
58	NA	NA	NA
59	NA	NA	NA
60	NA	NA	NA

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	-0.228429	-1.7397	0.043611
2	0.084804	0.6459	0.260462
3	-0.021632	-0.1647	0.43486
4	-0.161789	-1.2322	0.111432
5	-0.321765	-2.4505	0.008652
6	0.00712	0.0542	0.478473
7	0.00531	0.0404	0.483942
8	0.060705	0.4623	0.322792
9	-0.082707	-0.6299	0.265623
10	-0.202311	-1.5408	0.064408
11	-0.109617	-0.8348	0.203623
12	-0.103515	-0.7883	0.216853
13	0.173552	1.3217	0.095724
14	-0.119477	-0.9099	0.183318
15	0.032153	0.2449	0.403712
16	-0.132878	-1.012	0.157878
17	-0.020905	-0.1592	0.43703
18	-0.059454	-0.4528	0.326194
19	0.12179	0.9275	0.178749
20	-0.103577	-0.7888	0.216714
21	-0.047115	-0.3588	0.360519
22	-0.136133	-1.0368	0.152076
23	0.112227	0.8547	0.198118
24	0.090504	0.6893	0.246706
25	-0.193926	-1.4769	0.072557
26	0.04979	0.3792	0.352966
27	-0.082769	-0.6303	0.265472
28	-0.155364	-1.1832	0.120776
29	0.075827	0.5775	0.282925
30	0.037836	0.2882	0.387129
31	-0.045536	-0.3468	0.365002
32	-0.173219	-1.3192	0.096144
33	0.065793	0.5011	0.309111
34	-0.041447	-0.3157	0.3767
35	-0.026805	-0.2041	0.41948
36	-0.079071	-0.6022	0.274699
37	-0.06045	-0.4604	0.323486
38	-0.086629	-0.6597	0.256014
39	0.007637	0.0582	0.476911
40	-0.077414	-0.5896	0.278886
41	0.061528	0.4686	0.320562
42	-0.054289	-0.4135	0.3404
43	-0.084265	-0.6417	0.261783
44	-0.049783	-0.3791	0.352986
45	-0.070536	-0.5372	0.296596
46	0.04865	0.3705	0.356178
47	0.035385	0.2695	0.394257
48	-0.047515	-0.3619	0.359383
49	-0.090604	-0.69	0.246466
50	0.001838	0.014	0.49444
51	0.105074	0.8002	0.213424
52	-0.066832	-0.509	0.306348
53	-0.002995	-0.0228	0.490941
54	-0.06458	-0.4918	0.312348
55	-0.030956	-0.2358	0.407228
56	-0.027461	-0.2091	0.417538
57	0.063206	0.4814	0.316035
58	NA	NA	NA
59	NA	NA	NA
60	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.228429 & -1.7397 & 0.043611 \tabularnewline
2 & 0.084804 & 0.6459 & 0.260462 \tabularnewline
3 & -0.021632 & -0.1647 & 0.43486 \tabularnewline
4 & -0.161789 & -1.2322 & 0.111432 \tabularnewline
5 & -0.321765 & -2.4505 & 0.008652 \tabularnewline
6 & 0.00712 & 0.0542 & 0.478473 \tabularnewline
7 & 0.00531 & 0.0404 & 0.483942 \tabularnewline
8 & 0.060705 & 0.4623 & 0.322792 \tabularnewline
9 & -0.082707 & -0.6299 & 0.265623 \tabularnewline
10 & -0.202311 & -1.5408 & 0.064408 \tabularnewline
11 & -0.109617 & -0.8348 & 0.203623 \tabularnewline
12 & -0.103515 & -0.7883 & 0.216853 \tabularnewline
13 & 0.173552 & 1.3217 & 0.095724 \tabularnewline
14 & -0.119477 & -0.9099 & 0.183318 \tabularnewline
15 & 0.032153 & 0.2449 & 0.403712 \tabularnewline
16 & -0.132878 & -1.012 & 0.157878 \tabularnewline
17 & -0.020905 & -0.1592 & 0.43703 \tabularnewline
18 & -0.059454 & -0.4528 & 0.326194 \tabularnewline
19 & 0.12179 & 0.9275 & 0.178749 \tabularnewline
20 & -0.103577 & -0.7888 & 0.216714 \tabularnewline
21 & -0.047115 & -0.3588 & 0.360519 \tabularnewline
22 & -0.136133 & -1.0368 & 0.152076 \tabularnewline
23 & 0.112227 & 0.8547 & 0.198118 \tabularnewline
24 & 0.090504 & 0.6893 & 0.246706 \tabularnewline
25 & -0.193926 & -1.4769 & 0.072557 \tabularnewline
26 & 0.04979 & 0.3792 & 0.352966 \tabularnewline
27 & -0.082769 & -0.6303 & 0.265472 \tabularnewline
28 & -0.155364 & -1.1832 & 0.120776 \tabularnewline
29 & 0.075827 & 0.5775 & 0.282925 \tabularnewline
30 & 0.037836 & 0.2882 & 0.387129 \tabularnewline
31 & -0.045536 & -0.3468 & 0.365002 \tabularnewline
32 & -0.173219 & -1.3192 & 0.096144 \tabularnewline
33 & 0.065793 & 0.5011 & 0.309111 \tabularnewline
34 & -0.041447 & -0.3157 & 0.3767 \tabularnewline
35 & -0.026805 & -0.2041 & 0.41948 \tabularnewline
36 & -0.079071 & -0.6022 & 0.274699 \tabularnewline
37 & -0.06045 & -0.4604 & 0.323486 \tabularnewline
38 & -0.086629 & -0.6597 & 0.256014 \tabularnewline
39 & 0.007637 & 0.0582 & 0.476911 \tabularnewline
40 & -0.077414 & -0.5896 & 0.278886 \tabularnewline
41 & 0.061528 & 0.4686 & 0.320562 \tabularnewline
42 & -0.054289 & -0.4135 & 0.3404 \tabularnewline
43 & -0.084265 & -0.6417 & 0.261783 \tabularnewline
44 & -0.049783 & -0.3791 & 0.352986 \tabularnewline
45 & -0.070536 & -0.5372 & 0.296596 \tabularnewline
46 & 0.04865 & 0.3705 & 0.356178 \tabularnewline
47 & 0.035385 & 0.2695 & 0.394257 \tabularnewline
48 & -0.047515 & -0.3619 & 0.359383 \tabularnewline
49 & -0.090604 & -0.69 & 0.246466 \tabularnewline
50 & 0.001838 & 0.014 & 0.49444 \tabularnewline
51 & 0.105074 & 0.8002 & 0.213424 \tabularnewline
52 & -0.066832 & -0.509 & 0.306348 \tabularnewline
53 & -0.002995 & -0.0228 & 0.490941 \tabularnewline
54 & -0.06458 & -0.4918 & 0.312348 \tabularnewline
55 & -0.030956 & -0.2358 & 0.407228 \tabularnewline
56 & -0.027461 & -0.2091 & 0.417538 \tabularnewline
57 & 0.063206 & 0.4814 & 0.316035 \tabularnewline
58 & NA & NA & NA \tabularnewline
59 & NA & NA & NA \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=65533&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]-0.228429[/C][C]-1.7397[/C][C]0.043611[/C][/ROW]
[ROW][C]2[/C][C]0.084804[/C][C]0.6459[/C][C]0.260462[/C][/ROW]
[ROW][C]3[/C][C]-0.021632[/C][C]-0.1647[/C][C]0.43486[/C][/ROW]
[ROW][C]4[/C][C]-0.161789[/C][C]-1.2322[/C][C]0.111432[/C][/ROW]
[ROW][C]5[/C][C]-0.321765[/C][C]-2.4505[/C][C]0.008652[/C][/ROW]
[ROW][C]6[/C][C]0.00712[/C][C]0.0542[/C][C]0.478473[/C][/ROW]
[ROW][C]7[/C][C]0.00531[/C][C]0.0404[/C][C]0.483942[/C][/ROW]
[ROW][C]8[/C][C]0.060705[/C][C]0.4623[/C][C]0.322792[/C][/ROW]
[ROW][C]9[/C][C]-0.082707[/C][C]-0.6299[/C][C]0.265623[/C][/ROW]
[ROW][C]10[/C][C]-0.202311[/C][C]-1.5408[/C][C]0.064408[/C][/ROW]
[ROW][C]11[/C][C]-0.109617[/C][C]-0.8348[/C][C]0.203623[/C][/ROW]
[ROW][C]12[/C][C]-0.103515[/C][C]-0.7883[/C][C]0.216853[/C][/ROW]
[ROW][C]13[/C][C]0.173552[/C][C]1.3217[/C][C]0.095724[/C][/ROW]
[ROW][C]14[/C][C]-0.119477[/C][C]-0.9099[/C][C]0.183318[/C][/ROW]
[ROW][C]15[/C][C]0.032153[/C][C]0.2449[/C][C]0.403712[/C][/ROW]
[ROW][C]16[/C][C]-0.132878[/C][C]-1.012[/C][C]0.157878[/C][/ROW]
[ROW][C]17[/C][C]-0.020905[/C][C]-0.1592[/C][C]0.43703[/C][/ROW]
[ROW][C]18[/C][C]-0.059454[/C][C]-0.4528[/C][C]0.326194[/C][/ROW]
[ROW][C]19[/C][C]0.12179[/C][C]0.9275[/C][C]0.178749[/C][/ROW]
[ROW][C]20[/C][C]-0.103577[/C][C]-0.7888[/C][C]0.216714[/C][/ROW]
[ROW][C]21[/C][C]-0.047115[/C][C]-0.3588[/C][C]0.360519[/C][/ROW]
[ROW][C]22[/C][C]-0.136133[/C][C]-1.0368[/C][C]0.152076[/C][/ROW]
[ROW][C]23[/C][C]0.112227[/C][C]0.8547[/C][C]0.198118[/C][/ROW]
[ROW][C]24[/C][C]0.090504[/C][C]0.6893[/C][C]0.246706[/C][/ROW]
[ROW][C]25[/C][C]-0.193926[/C][C]-1.4769[/C][C]0.072557[/C][/ROW]
[ROW][C]26[/C][C]0.04979[/C][C]0.3792[/C][C]0.352966[/C][/ROW]
[ROW][C]27[/C][C]-0.082769[/C][C]-0.6303[/C][C]0.265472[/C][/ROW]
[ROW][C]28[/C][C]-0.155364[/C][C]-1.1832[/C][C]0.120776[/C][/ROW]
[ROW][C]29[/C][C]0.075827[/C][C]0.5775[/C][C]0.282925[/C][/ROW]
[ROW][C]30[/C][C]0.037836[/C][C]0.2882[/C][C]0.387129[/C][/ROW]
[ROW][C]31[/C][C]-0.045536[/C][C]-0.3468[/C][C]0.365002[/C][/ROW]
[ROW][C]32[/C][C]-0.173219[/C][C]-1.3192[/C][C]0.096144[/C][/ROW]
[ROW][C]33[/C][C]0.065793[/C][C]0.5011[/C][C]0.309111[/C][/ROW]
[ROW][C]34[/C][C]-0.041447[/C][C]-0.3157[/C][C]0.3767[/C][/ROW]
[ROW][C]35[/C][C]-0.026805[/C][C]-0.2041[/C][C]0.41948[/C][/ROW]
[ROW][C]36[/C][C]-0.079071[/C][C]-0.6022[/C][C]0.274699[/C][/ROW]
[ROW][C]37[/C][C]-0.06045[/C][C]-0.4604[/C][C]0.323486[/C][/ROW]
[ROW][C]38[/C][C]-0.086629[/C][C]-0.6597[/C][C]0.256014[/C][/ROW]
[ROW][C]39[/C][C]0.007637[/C][C]0.0582[/C][C]0.476911[/C][/ROW]
[ROW][C]40[/C][C]-0.077414[/C][C]-0.5896[/C][C]0.278886[/C][/ROW]
[ROW][C]41[/C][C]0.061528[/C][C]0.4686[/C][C]0.320562[/C][/ROW]
[ROW][C]42[/C][C]-0.054289[/C][C]-0.4135[/C][C]0.3404[/C][/ROW]
[ROW][C]43[/C][C]-0.084265[/C][C]-0.6417[/C][C]0.261783[/C][/ROW]
[ROW][C]44[/C][C]-0.049783[/C][C]-0.3791[/C][C]0.352986[/C][/ROW]
[ROW][C]45[/C][C]-0.070536[/C][C]-0.5372[/C][C]0.296596[/C][/ROW]
[ROW][C]46[/C][C]0.04865[/C][C]0.3705[/C][C]0.356178[/C][/ROW]
[ROW][C]47[/C][C]0.035385[/C][C]0.2695[/C][C]0.394257[/C][/ROW]
[ROW][C]48[/C][C]-0.047515[/C][C]-0.3619[/C][C]0.359383[/C][/ROW]
[ROW][C]49[/C][C]-0.090604[/C][C]-0.69[/C][C]0.246466[/C][/ROW]
[ROW][C]50[/C][C]0.001838[/C][C]0.014[/C][C]0.49444[/C][/ROW]
[ROW][C]51[/C][C]0.105074[/C][C]0.8002[/C][C]0.213424[/C][/ROW]
[ROW][C]52[/C][C]-0.066832[/C][C]-0.509[/C][C]0.306348[/C][/ROW]
[ROW][C]53[/C][C]-0.002995[/C][C]-0.0228[/C][C]0.490941[/C][/ROW]
[ROW][C]54[/C][C]-0.06458[/C][C]-0.4918[/C][C]0.312348[/C][/ROW]
[ROW][C]55[/C][C]-0.030956[/C][C]-0.2358[/C][C]0.407228[/C][/ROW]
[ROW][C]56[/C][C]-0.027461[/C][C]-0.2091[/C][C]0.417538[/C][/ROW]
[ROW][C]57[/C][C]0.063206[/C][C]0.4814[/C][C]0.316035[/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]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=65533&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=65533&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
1	-0.228429	-1.7397	0.043611
2	0.084804	0.6459	0.260462
3	-0.021632	-0.1647	0.43486
4	-0.161789	-1.2322	0.111432
5	-0.321765	-2.4505	0.008652
6	0.00712	0.0542	0.478473
7	0.00531	0.0404	0.483942
8	0.060705	0.4623	0.322792
9	-0.082707	-0.6299	0.265623
10	-0.202311	-1.5408	0.064408
11	-0.109617	-0.8348	0.203623
12	-0.103515	-0.7883	0.216853
13	0.173552	1.3217	0.095724
14	-0.119477	-0.9099	0.183318
15	0.032153	0.2449	0.403712
16	-0.132878	-1.012	0.157878
17	-0.020905	-0.1592	0.43703
18	-0.059454	-0.4528	0.326194
19	0.12179	0.9275	0.178749
20	-0.103577	-0.7888	0.216714
21	-0.047115	-0.3588	0.360519
22	-0.136133	-1.0368	0.152076
23	0.112227	0.8547	0.198118
24	0.090504	0.6893	0.246706
25	-0.193926	-1.4769	0.072557
26	0.04979	0.3792	0.352966
27	-0.082769	-0.6303	0.265472
28	-0.155364	-1.1832	0.120776
29	0.075827	0.5775	0.282925
30	0.037836	0.2882	0.387129
31	-0.045536	-0.3468	0.365002
32	-0.173219	-1.3192	0.096144
33	0.065793	0.5011	0.309111
34	-0.041447	-0.3157	0.3767
35	-0.026805	-0.2041	0.41948
36	-0.079071	-0.6022	0.274699
37	-0.06045	-0.4604	0.323486
38	-0.086629	-0.6597	0.256014
39	0.007637	0.0582	0.476911
40	-0.077414	-0.5896	0.278886
41	0.061528	0.4686	0.320562
42	-0.054289	-0.4135	0.3404
43	-0.084265	-0.6417	0.261783
44	-0.049783	-0.3791	0.352986
45	-0.070536	-0.5372	0.296596
46	0.04865	0.3705	0.356178
47	0.035385	0.2695	0.394257
48	-0.047515	-0.3619	0.359383
49	-0.090604	-0.69	0.246466
50	0.001838	0.014	0.49444
51	0.105074	0.8002	0.213424
52	-0.066832	-0.509	0.306348
53	-0.002995	-0.0228	0.490941
54	-0.06458	-0.4918	0.312348
55	-0.030956	-0.2358	0.407228
56	-0.027461	-0.2091	0.417538
57	0.063206	0.4814	0.316035
58	NA	NA	NA
59	NA	NA	NA
60	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 = 2 ; par4 = 0 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;

Parameters (R input):

par1 = 60 ; par2 = 1 ; par3 = 2 ; par4 = 0 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;

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 (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='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep=''))
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 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')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code