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Author

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R Software Module

rwasp_autocorrelation.wasp

Title produced by software

(Partial) Autocorrelation Function

Date of computation

Sun, 29 Nov 2009 06:52:09 -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/Nov/29/t12595027851t79cev36basobq.htm/, Retrieved Thu, 18 Apr 2024 23:48:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=61603, Retrieved Thu, 18 Apr 2024 23:48:12 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

ws8r4l3

Estimated Impact

166

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] [W8] [2009-11-25 18:19:32] [315ba876df544ad397193b5931d5f354]
-    D          [(Partial) Autocorrelation Function] [ws8 1.1] [2009-11-27 16:22:27] [95cead3ebb75668735f848316249436a]
-   P             [(Partial) Autocorrelation Function] [ws8.2] [2009-11-27 16:33:59] [95cead3ebb75668735f848316249436a]
-   P               [(Partial) Autocorrelation Function] [ws8 model 1] [2009-11-27 17:43:46] [95cead3ebb75668735f848316249436a]
-   P                   [(Partial) Autocorrelation Function] [] [2009-11-29 13:52:09] [42ed2e0ab6f351a3dce7cf3f388e378d] [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=61603&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=61603&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61603&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	0.16964	1.0036	0.161229
2	0.225706	1.3353	0.0952
3	-0.174934	-1.0349	0.153901
4	-0.164386	-0.9725	0.168732
5	-0.278817	-1.6495	0.053996
6	0.053888	0.3188	0.375884
7	0.042204	0.2497	0.402147
8	0.152672	0.9032	0.186292
9	-0.018276	-0.1081	0.457258
10	-0.162917	-0.9638	0.170872
11	-0.161198	-0.9537	0.173398
12	-0.294575	-1.7427	0.045081
13	0.16677	0.9866	0.165299
14	-0.040274	-0.2383	0.406532
15	0.301229	1.7821	0.041706
16	0.115823	0.6852	0.248859
17	0.069073	0.4086	0.342646
18	-0.114529	-0.6776	0.251252
19	0.032902	0.1947	0.423396
20	-0.139272	-0.8239	0.207776
21	0.063123	0.3734	0.355536
22	0.061501	0.3638	0.359081
23	0.111572	0.6601	0.256765
24	-0.047331	-0.28	0.390557
25	-0.118015	-0.6982	0.244836
26	-0.06102	-0.361	0.360135
27	-0.176466	-1.044	0.151825
28	-0.071774	-0.4246	0.336856
29	0.000927	0.0055	0.497827
30	0.012209	0.0722	0.471415
31	0.029002	0.1716	0.432379
32	0.024484	0.1448	0.442831
33	-0.09111	-0.539	0.296644
34	-0.017831	-0.1055	0.458295
35	NA	NA	NA
36	NA	NA	NA
37	NA	NA	NA
38	NA	NA	NA
39	NA	NA	NA
40	NA	NA	NA
41	NA	NA	NA
42	NA	NA	NA
43	NA	NA	NA
44	NA	NA	NA
45	NA	NA	NA
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
60	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.16964 & 1.0036 & 0.161229 \tabularnewline
2 & 0.225706 & 1.3353 & 0.0952 \tabularnewline
3 & -0.174934 & -1.0349 & 0.153901 \tabularnewline
4 & -0.164386 & -0.9725 & 0.168732 \tabularnewline
5 & -0.278817 & -1.6495 & 0.053996 \tabularnewline
6 & 0.053888 & 0.3188 & 0.375884 \tabularnewline
7 & 0.042204 & 0.2497 & 0.402147 \tabularnewline
8 & 0.152672 & 0.9032 & 0.186292 \tabularnewline
9 & -0.018276 & -0.1081 & 0.457258 \tabularnewline
10 & -0.162917 & -0.9638 & 0.170872 \tabularnewline
11 & -0.161198 & -0.9537 & 0.173398 \tabularnewline
12 & -0.294575 & -1.7427 & 0.045081 \tabularnewline
13 & 0.16677 & 0.9866 & 0.165299 \tabularnewline
14 & -0.040274 & -0.2383 & 0.406532 \tabularnewline
15 & 0.301229 & 1.7821 & 0.041706 \tabularnewline
16 & 0.115823 & 0.6852 & 0.248859 \tabularnewline
17 & 0.069073 & 0.4086 & 0.342646 \tabularnewline
18 & -0.114529 & -0.6776 & 0.251252 \tabularnewline
19 & 0.032902 & 0.1947 & 0.423396 \tabularnewline
20 & -0.139272 & -0.8239 & 0.207776 \tabularnewline
21 & 0.063123 & 0.3734 & 0.355536 \tabularnewline
22 & 0.061501 & 0.3638 & 0.359081 \tabularnewline
23 & 0.111572 & 0.6601 & 0.256765 \tabularnewline
24 & -0.047331 & -0.28 & 0.390557 \tabularnewline
25 & -0.118015 & -0.6982 & 0.244836 \tabularnewline
26 & -0.06102 & -0.361 & 0.360135 \tabularnewline
27 & -0.176466 & -1.044 & 0.151825 \tabularnewline
28 & -0.071774 & -0.4246 & 0.336856 \tabularnewline
29 & 0.000927 & 0.0055 & 0.497827 \tabularnewline
30 & 0.012209 & 0.0722 & 0.471415 \tabularnewline
31 & 0.029002 & 0.1716 & 0.432379 \tabularnewline
32 & 0.024484 & 0.1448 & 0.442831 \tabularnewline
33 & -0.09111 & -0.539 & 0.296644 \tabularnewline
34 & -0.017831 & -0.1055 & 0.458295 \tabularnewline
35 & NA & NA & NA \tabularnewline
36 & NA & NA & NA \tabularnewline
37 & NA & NA & NA \tabularnewline
38 & NA & NA & NA \tabularnewline
39 & NA & NA & NA \tabularnewline
40 & NA & NA & NA \tabularnewline
41 & NA & NA & NA \tabularnewline
42 & NA & NA & NA \tabularnewline
43 & NA & NA & NA \tabularnewline
44 & NA & NA & NA \tabularnewline
45 & NA & NA & NA \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
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61603&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]0.16964[/C][C]1.0036[/C][C]0.161229[/C][/ROW]
[ROW][C]2[/C][C]0.225706[/C][C]1.3353[/C][C]0.0952[/C][/ROW]
[ROW][C]3[/C][C]-0.174934[/C][C]-1.0349[/C][C]0.153901[/C][/ROW]
[ROW][C]4[/C][C]-0.164386[/C][C]-0.9725[/C][C]0.168732[/C][/ROW]
[ROW][C]5[/C][C]-0.278817[/C][C]-1.6495[/C][C]0.053996[/C][/ROW]
[ROW][C]6[/C][C]0.053888[/C][C]0.3188[/C][C]0.375884[/C][/ROW]
[ROW][C]7[/C][C]0.042204[/C][C]0.2497[/C][C]0.402147[/C][/ROW]
[ROW][C]8[/C][C]0.152672[/C][C]0.9032[/C][C]0.186292[/C][/ROW]
[ROW][C]9[/C][C]-0.018276[/C][C]-0.1081[/C][C]0.457258[/C][/ROW]
[ROW][C]10[/C][C]-0.162917[/C][C]-0.9638[/C][C]0.170872[/C][/ROW]
[ROW][C]11[/C][C]-0.161198[/C][C]-0.9537[/C][C]0.173398[/C][/ROW]
[ROW][C]12[/C][C]-0.294575[/C][C]-1.7427[/C][C]0.045081[/C][/ROW]
[ROW][C]13[/C][C]0.16677[/C][C]0.9866[/C][C]0.165299[/C][/ROW]
[ROW][C]14[/C][C]-0.040274[/C][C]-0.2383[/C][C]0.406532[/C][/ROW]
[ROW][C]15[/C][C]0.301229[/C][C]1.7821[/C][C]0.041706[/C][/ROW]
[ROW][C]16[/C][C]0.115823[/C][C]0.6852[/C][C]0.248859[/C][/ROW]
[ROW][C]17[/C][C]0.069073[/C][C]0.4086[/C][C]0.342646[/C][/ROW]
[ROW][C]18[/C][C]-0.114529[/C][C]-0.6776[/C][C]0.251252[/C][/ROW]
[ROW][C]19[/C][C]0.032902[/C][C]0.1947[/C][C]0.423396[/C][/ROW]
[ROW][C]20[/C][C]-0.139272[/C][C]-0.8239[/C][C]0.207776[/C][/ROW]
[ROW][C]21[/C][C]0.063123[/C][C]0.3734[/C][C]0.355536[/C][/ROW]
[ROW][C]22[/C][C]0.061501[/C][C]0.3638[/C][C]0.359081[/C][/ROW]
[ROW][C]23[/C][C]0.111572[/C][C]0.6601[/C][C]0.256765[/C][/ROW]
[ROW][C]24[/C][C]-0.047331[/C][C]-0.28[/C][C]0.390557[/C][/ROW]
[ROW][C]25[/C][C]-0.118015[/C][C]-0.6982[/C][C]0.244836[/C][/ROW]
[ROW][C]26[/C][C]-0.06102[/C][C]-0.361[/C][C]0.360135[/C][/ROW]
[ROW][C]27[/C][C]-0.176466[/C][C]-1.044[/C][C]0.151825[/C][/ROW]
[ROW][C]28[/C][C]-0.071774[/C][C]-0.4246[/C][C]0.336856[/C][/ROW]
[ROW][C]29[/C][C]0.000927[/C][C]0.0055[/C][C]0.497827[/C][/ROW]
[ROW][C]30[/C][C]0.012209[/C][C]0.0722[/C][C]0.471415[/C][/ROW]
[ROW][C]31[/C][C]0.029002[/C][C]0.1716[/C][C]0.432379[/C][/ROW]
[ROW][C]32[/C][C]0.024484[/C][C]0.1448[/C][C]0.442831[/C][/ROW]
[ROW][C]33[/C][C]-0.09111[/C][C]-0.539[/C][C]0.296644[/C][/ROW]
[ROW][C]34[/C][C]-0.017831[/C][C]-0.1055[/C][C]0.458295[/C][/ROW]
[ROW][C]35[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]36[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]37[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]38[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]39[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]40[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]41[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]42[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]43[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]44[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]45[/C][C]NA[/C][C]NA[/C][C]NA[/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]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61603&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61603&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	0.16964	1.0036	0.161229
2	0.225706	1.3353	0.0952
3	-0.174934	-1.0349	0.153901
4	-0.164386	-0.9725	0.168732
5	-0.278817	-1.6495	0.053996
6	0.053888	0.3188	0.375884
7	0.042204	0.2497	0.402147
8	0.152672	0.9032	0.186292
9	-0.018276	-0.1081	0.457258
10	-0.162917	-0.9638	0.170872
11	-0.161198	-0.9537	0.173398
12	-0.294575	-1.7427	0.045081
13	0.16677	0.9866	0.165299
14	-0.040274	-0.2383	0.406532
15	0.301229	1.7821	0.041706
16	0.115823	0.6852	0.248859
17	0.069073	0.4086	0.342646
18	-0.114529	-0.6776	0.251252
19	0.032902	0.1947	0.423396
20	-0.139272	-0.8239	0.207776
21	0.063123	0.3734	0.355536
22	0.061501	0.3638	0.359081
23	0.111572	0.6601	0.256765
24	-0.047331	-0.28	0.390557
25	-0.118015	-0.6982	0.244836
26	-0.06102	-0.361	0.360135
27	-0.176466	-1.044	0.151825
28	-0.071774	-0.4246	0.336856
29	0.000927	0.0055	0.497827
30	0.012209	0.0722	0.471415
31	0.029002	0.1716	0.432379
32	0.024484	0.1448	0.442831
33	-0.09111	-0.539	0.296644
34	-0.017831	-0.1055	0.458295
35	NA	NA	NA
36	NA	NA	NA
37	NA	NA	NA
38	NA	NA	NA
39	NA	NA	NA
40	NA	NA	NA
41	NA	NA	NA
42	NA	NA	NA
43	NA	NA	NA
44	NA	NA	NA
45	NA	NA	NA
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
60	NA	NA	NA

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	0.16964	1.0036	0.161229
2	0.202763	1.1996	0.119183
3	-0.257552	-1.5237	0.068285
4	-0.162766	-0.9629	0.171093
5	-0.150868	-0.8925	0.189098
6	0.184178	1.0896	0.141665
7	0.074385	0.4401	0.331298
8	-0.025886	-0.1531	0.439582
9	-0.135134	-0.7995	0.214707
10	-0.230493	-1.3636	0.090698
11	0.021961	0.1299	0.448686
12	-0.181499	-1.0738	0.145139
13	0.319995	1.8931	0.033317
14	-0.176912	-1.0466	0.151224
15	0.096657	0.5718	0.285545
16	0.065197	0.3857	0.351024
17	-0.116017	-0.6864	0.248502
18	0.134337	0.7947	0.216058
19	0.003977	0.0235	0.490682
20	0.009889	0.0585	0.476839
21	-0.092415	-0.5467	0.294015
22	0.064517	0.3817	0.3525
23	0.09731	0.5757	0.284253
24	-0.198794	-1.1761	0.12375
25	0.076882	0.4548	0.326015
26	-0.074787	-0.4424	0.330445
27	0.032755	0.1938	0.423734
28	-0.153902	-0.9105	0.184395
29	-0.013902	-0.0822	0.467461
30	0.002009	0.0119	0.495292
31	-0.062051	-0.3671	0.357878
32	0.008655	0.0512	0.479727
33	-0.123655	-0.7316	0.234656
34	0.036276	0.2146	0.415657
35	NA	NA	NA
36	NA	NA	NA
37	NA	NA	NA
38	NA	NA	NA
39	NA	NA	NA
40	NA	NA	NA
41	NA	NA	NA
42	NA	NA	NA
43	NA	NA	NA
44	NA	NA	NA
45	NA	NA	NA
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
60	NA	NA	NA

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.16964 & 1.0036 & 0.161229 \tabularnewline
2 & 0.202763 & 1.1996 & 0.119183 \tabularnewline
3 & -0.257552 & -1.5237 & 0.068285 \tabularnewline
4 & -0.162766 & -0.9629 & 0.171093 \tabularnewline
5 & -0.150868 & -0.8925 & 0.189098 \tabularnewline
6 & 0.184178 & 1.0896 & 0.141665 \tabularnewline
7 & 0.074385 & 0.4401 & 0.331298 \tabularnewline
8 & -0.025886 & -0.1531 & 0.439582 \tabularnewline
9 & -0.135134 & -0.7995 & 0.214707 \tabularnewline
10 & -0.230493 & -1.3636 & 0.090698 \tabularnewline
11 & 0.021961 & 0.1299 & 0.448686 \tabularnewline
12 & -0.181499 & -1.0738 & 0.145139 \tabularnewline
13 & 0.319995 & 1.8931 & 0.033317 \tabularnewline
14 & -0.176912 & -1.0466 & 0.151224 \tabularnewline
15 & 0.096657 & 0.5718 & 0.285545 \tabularnewline
16 & 0.065197 & 0.3857 & 0.351024 \tabularnewline
17 & -0.116017 & -0.6864 & 0.248502 \tabularnewline
18 & 0.134337 & 0.7947 & 0.216058 \tabularnewline
19 & 0.003977 & 0.0235 & 0.490682 \tabularnewline
20 & 0.009889 & 0.0585 & 0.476839 \tabularnewline
21 & -0.092415 & -0.5467 & 0.294015 \tabularnewline
22 & 0.064517 & 0.3817 & 0.3525 \tabularnewline
23 & 0.09731 & 0.5757 & 0.284253 \tabularnewline
24 & -0.198794 & -1.1761 & 0.12375 \tabularnewline
25 & 0.076882 & 0.4548 & 0.326015 \tabularnewline
26 & -0.074787 & -0.4424 & 0.330445 \tabularnewline
27 & 0.032755 & 0.1938 & 0.423734 \tabularnewline
28 & -0.153902 & -0.9105 & 0.184395 \tabularnewline
29 & -0.013902 & -0.0822 & 0.467461 \tabularnewline
30 & 0.002009 & 0.0119 & 0.495292 \tabularnewline
31 & -0.062051 & -0.3671 & 0.357878 \tabularnewline
32 & 0.008655 & 0.0512 & 0.479727 \tabularnewline
33 & -0.123655 & -0.7316 & 0.234656 \tabularnewline
34 & 0.036276 & 0.2146 & 0.415657 \tabularnewline
35 & NA & NA & NA \tabularnewline
36 & NA & NA & NA \tabularnewline
37 & NA & NA & NA \tabularnewline
38 & NA & NA & NA \tabularnewline
39 & NA & NA & NA \tabularnewline
40 & NA & NA & NA \tabularnewline
41 & NA & NA & NA \tabularnewline
42 & NA & NA & NA \tabularnewline
43 & NA & NA & NA \tabularnewline
44 & NA & NA & NA \tabularnewline
45 & NA & NA & NA \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
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=61603&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]0.16964[/C][C]1.0036[/C][C]0.161229[/C][/ROW]
[ROW][C]2[/C][C]0.202763[/C][C]1.1996[/C][C]0.119183[/C][/ROW]
[ROW][C]3[/C][C]-0.257552[/C][C]-1.5237[/C][C]0.068285[/C][/ROW]
[ROW][C]4[/C][C]-0.162766[/C][C]-0.9629[/C][C]0.171093[/C][/ROW]
[ROW][C]5[/C][C]-0.150868[/C][C]-0.8925[/C][C]0.189098[/C][/ROW]
[ROW][C]6[/C][C]0.184178[/C][C]1.0896[/C][C]0.141665[/C][/ROW]
[ROW][C]7[/C][C]0.074385[/C][C]0.4401[/C][C]0.331298[/C][/ROW]
[ROW][C]8[/C][C]-0.025886[/C][C]-0.1531[/C][C]0.439582[/C][/ROW]
[ROW][C]9[/C][C]-0.135134[/C][C]-0.7995[/C][C]0.214707[/C][/ROW]
[ROW][C]10[/C][C]-0.230493[/C][C]-1.3636[/C][C]0.090698[/C][/ROW]
[ROW][C]11[/C][C]0.021961[/C][C]0.1299[/C][C]0.448686[/C][/ROW]
[ROW][C]12[/C][C]-0.181499[/C][C]-1.0738[/C][C]0.145139[/C][/ROW]
[ROW][C]13[/C][C]0.319995[/C][C]1.8931[/C][C]0.033317[/C][/ROW]
[ROW][C]14[/C][C]-0.176912[/C][C]-1.0466[/C][C]0.151224[/C][/ROW]
[ROW][C]15[/C][C]0.096657[/C][C]0.5718[/C][C]0.285545[/C][/ROW]
[ROW][C]16[/C][C]0.065197[/C][C]0.3857[/C][C]0.351024[/C][/ROW]
[ROW][C]17[/C][C]-0.116017[/C][C]-0.6864[/C][C]0.248502[/C][/ROW]
[ROW][C]18[/C][C]0.134337[/C][C]0.7947[/C][C]0.216058[/C][/ROW]
[ROW][C]19[/C][C]0.003977[/C][C]0.0235[/C][C]0.490682[/C][/ROW]
[ROW][C]20[/C][C]0.009889[/C][C]0.0585[/C][C]0.476839[/C][/ROW]
[ROW][C]21[/C][C]-0.092415[/C][C]-0.5467[/C][C]0.294015[/C][/ROW]
[ROW][C]22[/C][C]0.064517[/C][C]0.3817[/C][C]0.3525[/C][/ROW]
[ROW][C]23[/C][C]0.09731[/C][C]0.5757[/C][C]0.284253[/C][/ROW]
[ROW][C]24[/C][C]-0.198794[/C][C]-1.1761[/C][C]0.12375[/C][/ROW]
[ROW][C]25[/C][C]0.076882[/C][C]0.4548[/C][C]0.326015[/C][/ROW]
[ROW][C]26[/C][C]-0.074787[/C][C]-0.4424[/C][C]0.330445[/C][/ROW]
[ROW][C]27[/C][C]0.032755[/C][C]0.1938[/C][C]0.423734[/C][/ROW]
[ROW][C]28[/C][C]-0.153902[/C][C]-0.9105[/C][C]0.184395[/C][/ROW]
[ROW][C]29[/C][C]-0.013902[/C][C]-0.0822[/C][C]0.467461[/C][/ROW]
[ROW][C]30[/C][C]0.002009[/C][C]0.0119[/C][C]0.495292[/C][/ROW]
[ROW][C]31[/C][C]-0.062051[/C][C]-0.3671[/C][C]0.357878[/C][/ROW]
[ROW][C]32[/C][C]0.008655[/C][C]0.0512[/C][C]0.479727[/C][/ROW]
[ROW][C]33[/C][C]-0.123655[/C][C]-0.7316[/C][C]0.234656[/C][/ROW]
[ROW][C]34[/C][C]0.036276[/C][C]0.2146[/C][C]0.415657[/C][/ROW]
[ROW][C]35[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]36[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]37[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]38[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]39[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]40[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]41[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]42[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]43[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]44[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]45[/C][C]NA[/C][C]NA[/C][C]NA[/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]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=61603&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=61603&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	0.16964	1.0036	0.161229
2	0.202763	1.1996	0.119183
3	-0.257552	-1.5237	0.068285
4	-0.162766	-0.9629	0.171093
5	-0.150868	-0.8925	0.189098
6	0.184178	1.0896	0.141665
7	0.074385	0.4401	0.331298
8	-0.025886	-0.1531	0.439582
9	-0.135134	-0.7995	0.214707
10	-0.230493	-1.3636	0.090698
11	0.021961	0.1299	0.448686
12	-0.181499	-1.0738	0.145139
13	0.319995	1.8931	0.033317
14	-0.176912	-1.0466	0.151224
15	0.096657	0.5718	0.285545
16	0.065197	0.3857	0.351024
17	-0.116017	-0.6864	0.248502
18	0.134337	0.7947	0.216058
19	0.003977	0.0235	0.490682
20	0.009889	0.0585	0.476839
21	-0.092415	-0.5467	0.294015
22	0.064517	0.3817	0.3525
23	0.09731	0.5757	0.284253
24	-0.198794	-1.1761	0.12375
25	0.076882	0.4548	0.326015
26	-0.074787	-0.4424	0.330445
27	0.032755	0.1938	0.423734
28	-0.153902	-0.9105	0.184395
29	-0.013902	-0.0822	0.467461
30	0.002009	0.0119	0.495292
31	-0.062051	-0.3671	0.357878
32	0.008655	0.0512	0.479727
33	-0.123655	-0.7316	0.234656
34	0.036276	0.2146	0.415657
35	NA	NA	NA
36	NA	NA	NA
37	NA	NA	NA
38	NA	NA	NA
39	NA	NA	NA
40	NA	NA	NA
41	NA	NA	NA
42	NA	NA	NA
43	NA	NA	NA
44	NA	NA	NA
45	NA	NA	NA
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
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 = 1 ; par4 = 2 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;

Parameters (R input):

par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 2 ; par5 = 12 ; par6 = White Noise ; 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