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R Software Module

rwasp_autocorrelation.wasp

Title produced by software

(Partial) Autocorrelation Function

Date of computation

Sun, 14 Dec 2008 02:59:43 -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/2008/Dec/14/t1229248824n5z2xweytbap2u2.htm/, Retrieved Wed, 15 May 2024 22:35:28 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=33255, Retrieved Wed, 15 May 2024 22:35:28 +0000

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Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

198

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

F     [Univariate Data Series] [Import uit Amerika] [2008-10-13 18:55:55] [b943bd7078334192ff8343563ee31113]
- RMPD  [Histogram] [Paper Analyse (1)] [2008-12-13 13:37:46] [b943bd7078334192ff8343563ee31113]
- RMP     [Tukey lambda PPCC Plot] [Paper Analyse (2)] [2008-12-13 14:19:33] [b943bd7078334192ff8343563ee31113]
- RM        [Central Tendency] [Paper Analyse (3)] [2008-12-13 14:48:04] [b943bd7078334192ff8343563ee31113]
- RMP         [Mean Plot] [Paper Analyse (4)] [2008-12-13 16:59:19] [b943bd7078334192ff8343563ee31113]
- RMPD          [Pearson Correlation] [Paper Analyse (5)] [2008-12-13 17:21:52] [b943bd7078334192ff8343563ee31113]
-    D            [Pearson Correlation] [Paper Analyse (6)] [2008-12-13 17:43:27] [b943bd7078334192ff8343563ee31113]
- RM D              [Partial Correlation] [Paper Analyse (7)] [2008-12-13 19:17:34] [b943bd7078334192ff8343563ee31113]
- RMPD                [Standard Deviation-Mean Plot] [Paper Analyse (8)] [2008-12-13 20:10:46] [b943bd7078334192ff8343563ee31113]
- RM                    [Variance Reduction Matrix] [Paper Analyse (9)] [2008-12-13 20:12:45] [b943bd7078334192ff8343563ee31113]
- RMP                     [(Partial) Autocorrelation Function] [Paper Analyse (10)] [2008-12-14 09:58:13] [b943bd7078334192ff8343563ee31113]
-   P                         [(Partial) Autocorrelation Function] [Paper Analyse (11)] [2008-12-14 09:59:43] [620b6ad5c4696049e39cb73ce029682c] [Current]
-   P                           [(Partial) Autocorrelation Function] [Paper Analyse (12)] [2008-12-14 10:02:10] [b943bd7078334192ff8343563ee31113] 
- RMP                             [ARIMA Backward Selection] [Paper Analyse (13)] [2008-12-14 10:33:42] [b943bd7078334192ff8343563ee31113] 
- RMP                           [Spectral Analysis] [Paper Analyse (14)] [2008-12-17 14:20:55] [b943bd7078334192ff8343563ee31113] 
- RM                            [Spectral Analysis] [Paper Analyse (15)] [2008-12-17 14:41:03] [b943bd7078334192ff8343563ee31113] 
- RMP                           [ARIMA Backward Selection] [ARIMA Backward Mo...] [2008-12-17 15:08:32] [b943bd7078334192ff8343563ee31113] 

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Dataseries X:

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Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

\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 & 'Sir Ronald Aylmer Fisher' @ 193.190.124.24 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33255&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]'Sir Ronald Aylmer Fisher' @ 193.190.124.24[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33255&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33255&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	2 seconds
R Server	'Sir Ronald Aylmer Fisher' @ 193.190.124.24

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
1	-0.480432	-4.7073	4e-06
2	0.09525	0.9333	0.176515
3	-0.064342	-0.6304	0.264959
4	-0.108131	-1.0595	0.146024
5	0.110945	1.087	0.139872
6	-0.060375	-0.5916	0.277769
7	0.132847	1.3016	0.098079
8	-0.024831	-0.2433	0.404148
9	-0.070209	-0.6879	0.246586
10	-0.096243	-0.943	0.174028
11	-0.05142	-0.5038	0.307773
12	0.337718	3.3089	0.00066
13	-0.25745	-2.5225	0.006649
14	0.172589	1.691	0.047039
15	-0.170566	-1.6712	0.04897
16	0.015682	0.1537	0.439102
17	0.003846	0.0377	0.485011
18	0.050973	0.4994	0.30931
19	-0.013047	-0.1278	0.449273
20	0.077374	0.7581	0.225123
21	-0.090395	-0.8857	0.188999
22	-0.047244	-0.4629	0.322244
23	0.011872	0.1163	0.45382
24	0.166183	1.6283	0.053374
25	-0.145506	-1.4257	0.078605
26	0.161525	1.5826	0.058399
27	-0.232319	-2.2763	0.012526
28	0.062224	0.6097	0.27176
29	0.100866	0.9883	0.16275
30	-0.136318	-1.3356	0.092413
31	0.0902	0.8838	0.189512
32	0.065908	0.6458	0.259986
33	-0.11751	-1.1514	0.126222
34	-0.005191	-0.0509	0.47977
35	-0.061434	-0.6019	0.274321
36	0.205282	2.0113	0.023546
37	-0.116382	-1.1403	0.128497
38	0.051522	0.5048	0.307424
39	-0.131549	-1.2889	0.100262
40	0.067924	0.6655	0.253659
41	0.020297	0.1989	0.421394
42	-0.072852	-0.7138	0.238543
43	0.150568	1.4753	0.071707
44	-0.008981	-0.088	0.465032
45	-0.156044	-1.5289	0.064788
46	0.118305	1.1591	0.124636
47	-0.153253	-1.5016	0.068246
48	0.140365	1.3753	0.086122
49	-0.017994	-0.1763	0.430212
50	-0.032985	-0.3232	0.373629
51	-0.023304	-0.2283	0.409938
52	4.4e-05	4e-04	0.49983
53	0.0251	0.2459	0.403131
54	-0.006158	-0.0603	0.476007
55	0.066104	0.6477	0.259366
56	-0.050114	-0.491	0.312268
57	-0.020104	-0.197	0.422131
58	0.013697	0.1342	0.446762
59	-0.111695	-1.0944	0.138262
60	0.232149	2.2746	0.012578

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.480432 & -4.7073 & 4e-06 \tabularnewline
2 & 0.09525 & 0.9333 & 0.176515 \tabularnewline
3 & -0.064342 & -0.6304 & 0.264959 \tabularnewline
4 & -0.108131 & -1.0595 & 0.146024 \tabularnewline
5 & 0.110945 & 1.087 & 0.139872 \tabularnewline
6 & -0.060375 & -0.5916 & 0.277769 \tabularnewline
7 & 0.132847 & 1.3016 & 0.098079 \tabularnewline
8 & -0.024831 & -0.2433 & 0.404148 \tabularnewline
9 & -0.070209 & -0.6879 & 0.246586 \tabularnewline
10 & -0.096243 & -0.943 & 0.174028 \tabularnewline
11 & -0.05142 & -0.5038 & 0.307773 \tabularnewline
12 & 0.337718 & 3.3089 & 0.00066 \tabularnewline
13 & -0.25745 & -2.5225 & 0.006649 \tabularnewline
14 & 0.172589 & 1.691 & 0.047039 \tabularnewline
15 & -0.170566 & -1.6712 & 0.04897 \tabularnewline
16 & 0.015682 & 0.1537 & 0.439102 \tabularnewline
17 & 0.003846 & 0.0377 & 0.485011 \tabularnewline
18 & 0.050973 & 0.4994 & 0.30931 \tabularnewline
19 & -0.013047 & -0.1278 & 0.449273 \tabularnewline
20 & 0.077374 & 0.7581 & 0.225123 \tabularnewline
21 & -0.090395 & -0.8857 & 0.188999 \tabularnewline
22 & -0.047244 & -0.4629 & 0.322244 \tabularnewline
23 & 0.011872 & 0.1163 & 0.45382 \tabularnewline
24 & 0.166183 & 1.6283 & 0.053374 \tabularnewline
25 & -0.145506 & -1.4257 & 0.078605 \tabularnewline
26 & 0.161525 & 1.5826 & 0.058399 \tabularnewline
27 & -0.232319 & -2.2763 & 0.012526 \tabularnewline
28 & 0.062224 & 0.6097 & 0.27176 \tabularnewline
29 & 0.100866 & 0.9883 & 0.16275 \tabularnewline
30 & -0.136318 & -1.3356 & 0.092413 \tabularnewline
31 & 0.0902 & 0.8838 & 0.189512 \tabularnewline
32 & 0.065908 & 0.6458 & 0.259986 \tabularnewline
33 & -0.11751 & -1.1514 & 0.126222 \tabularnewline
34 & -0.005191 & -0.0509 & 0.47977 \tabularnewline
35 & -0.061434 & -0.6019 & 0.274321 \tabularnewline
36 & 0.205282 & 2.0113 & 0.023546 \tabularnewline
37 & -0.116382 & -1.1403 & 0.128497 \tabularnewline
38 & 0.051522 & 0.5048 & 0.307424 \tabularnewline
39 & -0.131549 & -1.2889 & 0.100262 \tabularnewline
40 & 0.067924 & 0.6655 & 0.253659 \tabularnewline
41 & 0.020297 & 0.1989 & 0.421394 \tabularnewline
42 & -0.072852 & -0.7138 & 0.238543 \tabularnewline
43 & 0.150568 & 1.4753 & 0.071707 \tabularnewline
44 & -0.008981 & -0.088 & 0.465032 \tabularnewline
45 & -0.156044 & -1.5289 & 0.064788 \tabularnewline
46 & 0.118305 & 1.1591 & 0.124636 \tabularnewline
47 & -0.153253 & -1.5016 & 0.068246 \tabularnewline
48 & 0.140365 & 1.3753 & 0.086122 \tabularnewline
49 & -0.017994 & -0.1763 & 0.430212 \tabularnewline
50 & -0.032985 & -0.3232 & 0.373629 \tabularnewline
51 & -0.023304 & -0.2283 & 0.409938 \tabularnewline
52 & 4.4e-05 & 4e-04 & 0.49983 \tabularnewline
53 & 0.0251 & 0.2459 & 0.403131 \tabularnewline
54 & -0.006158 & -0.0603 & 0.476007 \tabularnewline
55 & 0.066104 & 0.6477 & 0.259366 \tabularnewline
56 & -0.050114 & -0.491 & 0.312268 \tabularnewline
57 & -0.020104 & -0.197 & 0.422131 \tabularnewline
58 & 0.013697 & 0.1342 & 0.446762 \tabularnewline
59 & -0.111695 & -1.0944 & 0.138262 \tabularnewline
60 & 0.232149 & 2.2746 & 0.012578 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33255&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]-0.480432[/C][C]-4.7073[/C][C]4e-06[/C][/ROW]
[ROW][C]2[/C][C]0.09525[/C][C]0.9333[/C][C]0.176515[/C][/ROW]
[ROW][C]3[/C][C]-0.064342[/C][C]-0.6304[/C][C]0.264959[/C][/ROW]
[ROW][C]4[/C][C]-0.108131[/C][C]-1.0595[/C][C]0.146024[/C][/ROW]
[ROW][C]5[/C][C]0.110945[/C][C]1.087[/C][C]0.139872[/C][/ROW]
[ROW][C]6[/C][C]-0.060375[/C][C]-0.5916[/C][C]0.277769[/C][/ROW]
[ROW][C]7[/C][C]0.132847[/C][C]1.3016[/C][C]0.098079[/C][/ROW]
[ROW][C]8[/C][C]-0.024831[/C][C]-0.2433[/C][C]0.404148[/C][/ROW]
[ROW][C]9[/C][C]-0.070209[/C][C]-0.6879[/C][C]0.246586[/C][/ROW]
[ROW][C]10[/C][C]-0.096243[/C][C]-0.943[/C][C]0.174028[/C][/ROW]
[ROW][C]11[/C][C]-0.05142[/C][C]-0.5038[/C][C]0.307773[/C][/ROW]
[ROW][C]12[/C][C]0.337718[/C][C]3.3089[/C][C]0.00066[/C][/ROW]
[ROW][C]13[/C][C]-0.25745[/C][C]-2.5225[/C][C]0.006649[/C][/ROW]
[ROW][C]14[/C][C]0.172589[/C][C]1.691[/C][C]0.047039[/C][/ROW]
[ROW][C]15[/C][C]-0.170566[/C][C]-1.6712[/C][C]0.04897[/C][/ROW]
[ROW][C]16[/C][C]0.015682[/C][C]0.1537[/C][C]0.439102[/C][/ROW]
[ROW][C]17[/C][C]0.003846[/C][C]0.0377[/C][C]0.485011[/C][/ROW]
[ROW][C]18[/C][C]0.050973[/C][C]0.4994[/C][C]0.30931[/C][/ROW]
[ROW][C]19[/C][C]-0.013047[/C][C]-0.1278[/C][C]0.449273[/C][/ROW]
[ROW][C]20[/C][C]0.077374[/C][C]0.7581[/C][C]0.225123[/C][/ROW]
[ROW][C]21[/C][C]-0.090395[/C][C]-0.8857[/C][C]0.188999[/C][/ROW]
[ROW][C]22[/C][C]-0.047244[/C][C]-0.4629[/C][C]0.322244[/C][/ROW]
[ROW][C]23[/C][C]0.011872[/C][C]0.1163[/C][C]0.45382[/C][/ROW]
[ROW][C]24[/C][C]0.166183[/C][C]1.6283[/C][C]0.053374[/C][/ROW]
[ROW][C]25[/C][C]-0.145506[/C][C]-1.4257[/C][C]0.078605[/C][/ROW]
[ROW][C]26[/C][C]0.161525[/C][C]1.5826[/C][C]0.058399[/C][/ROW]
[ROW][C]27[/C][C]-0.232319[/C][C]-2.2763[/C][C]0.012526[/C][/ROW]
[ROW][C]28[/C][C]0.062224[/C][C]0.6097[/C][C]0.27176[/C][/ROW]
[ROW][C]29[/C][C]0.100866[/C][C]0.9883[/C][C]0.16275[/C][/ROW]
[ROW][C]30[/C][C]-0.136318[/C][C]-1.3356[/C][C]0.092413[/C][/ROW]
[ROW][C]31[/C][C]0.0902[/C][C]0.8838[/C][C]0.189512[/C][/ROW]
[ROW][C]32[/C][C]0.065908[/C][C]0.6458[/C][C]0.259986[/C][/ROW]
[ROW][C]33[/C][C]-0.11751[/C][C]-1.1514[/C][C]0.126222[/C][/ROW]
[ROW][C]34[/C][C]-0.005191[/C][C]-0.0509[/C][C]0.47977[/C][/ROW]
[ROW][C]35[/C][C]-0.061434[/C][C]-0.6019[/C][C]0.274321[/C][/ROW]
[ROW][C]36[/C][C]0.205282[/C][C]2.0113[/C][C]0.023546[/C][/ROW]
[ROW][C]37[/C][C]-0.116382[/C][C]-1.1403[/C][C]0.128497[/C][/ROW]
[ROW][C]38[/C][C]0.051522[/C][C]0.5048[/C][C]0.307424[/C][/ROW]
[ROW][C]39[/C][C]-0.131549[/C][C]-1.2889[/C][C]0.100262[/C][/ROW]
[ROW][C]40[/C][C]0.067924[/C][C]0.6655[/C][C]0.253659[/C][/ROW]
[ROW][C]41[/C][C]0.020297[/C][C]0.1989[/C][C]0.421394[/C][/ROW]
[ROW][C]42[/C][C]-0.072852[/C][C]-0.7138[/C][C]0.238543[/C][/ROW]
[ROW][C]43[/C][C]0.150568[/C][C]1.4753[/C][C]0.071707[/C][/ROW]
[ROW][C]44[/C][C]-0.008981[/C][C]-0.088[/C][C]0.465032[/C][/ROW]
[ROW][C]45[/C][C]-0.156044[/C][C]-1.5289[/C][C]0.064788[/C][/ROW]
[ROW][C]46[/C][C]0.118305[/C][C]1.1591[/C][C]0.124636[/C][/ROW]
[ROW][C]47[/C][C]-0.153253[/C][C]-1.5016[/C][C]0.068246[/C][/ROW]
[ROW][C]48[/C][C]0.140365[/C][C]1.3753[/C][C]0.086122[/C][/ROW]
[ROW][C]49[/C][C]-0.017994[/C][C]-0.1763[/C][C]0.430212[/C][/ROW]
[ROW][C]50[/C][C]-0.032985[/C][C]-0.3232[/C][C]0.373629[/C][/ROW]
[ROW][C]51[/C][C]-0.023304[/C][C]-0.2283[/C][C]0.409938[/C][/ROW]
[ROW][C]52[/C][C]4.4e-05[/C][C]4e-04[/C][C]0.49983[/C][/ROW]
[ROW][C]53[/C][C]0.0251[/C][C]0.2459[/C][C]0.403131[/C][/ROW]
[ROW][C]54[/C][C]-0.006158[/C][C]-0.0603[/C][C]0.476007[/C][/ROW]
[ROW][C]55[/C][C]0.066104[/C][C]0.6477[/C][C]0.259366[/C][/ROW]
[ROW][C]56[/C][C]-0.050114[/C][C]-0.491[/C][C]0.312268[/C][/ROW]
[ROW][C]57[/C][C]-0.020104[/C][C]-0.197[/C][C]0.422131[/C][/ROW]
[ROW][C]58[/C][C]0.013697[/C][C]0.1342[/C][C]0.446762[/C][/ROW]
[ROW][C]59[/C][C]-0.111695[/C][C]-1.0944[/C][C]0.138262[/C][/ROW]
[ROW][C]60[/C][C]0.232149[/C][C]2.2746[/C][C]0.012578[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33255&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33255&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	-0.480432	-4.7073	4e-06
2	0.09525	0.9333	0.176515
3	-0.064342	-0.6304	0.264959
4	-0.108131	-1.0595	0.146024
5	0.110945	1.087	0.139872
6	-0.060375	-0.5916	0.277769
7	0.132847	1.3016	0.098079
8	-0.024831	-0.2433	0.404148
9	-0.070209	-0.6879	0.246586
10	-0.096243	-0.943	0.174028
11	-0.05142	-0.5038	0.307773
12	0.337718	3.3089	0.00066
13	-0.25745	-2.5225	0.006649
14	0.172589	1.691	0.047039
15	-0.170566	-1.6712	0.04897
16	0.015682	0.1537	0.439102
17	0.003846	0.0377	0.485011
18	0.050973	0.4994	0.30931
19	-0.013047	-0.1278	0.449273
20	0.077374	0.7581	0.225123
21	-0.090395	-0.8857	0.188999
22	-0.047244	-0.4629	0.322244
23	0.011872	0.1163	0.45382
24	0.166183	1.6283	0.053374
25	-0.145506	-1.4257	0.078605
26	0.161525	1.5826	0.058399
27	-0.232319	-2.2763	0.012526
28	0.062224	0.6097	0.27176
29	0.100866	0.9883	0.16275
30	-0.136318	-1.3356	0.092413
31	0.0902	0.8838	0.189512
32	0.065908	0.6458	0.259986
33	-0.11751	-1.1514	0.126222
34	-0.005191	-0.0509	0.47977
35	-0.061434	-0.6019	0.274321
36	0.205282	2.0113	0.023546
37	-0.116382	-1.1403	0.128497
38	0.051522	0.5048	0.307424
39	-0.131549	-1.2889	0.100262
40	0.067924	0.6655	0.253659
41	0.020297	0.1989	0.421394
42	-0.072852	-0.7138	0.238543
43	0.150568	1.4753	0.071707
44	-0.008981	-0.088	0.465032
45	-0.156044	-1.5289	0.064788
46	0.118305	1.1591	0.124636
47	-0.153253	-1.5016	0.068246
48	0.140365	1.3753	0.086122
49	-0.017994	-0.1763	0.430212
50	-0.032985	-0.3232	0.373629
51	-0.023304	-0.2283	0.409938
52	4.4e-05	4e-04	0.49983
53	0.0251	0.2459	0.403131
54	-0.006158	-0.0603	0.476007
55	0.066104	0.6477	0.259366
56	-0.050114	-0.491	0.312268
57	-0.020104	-0.197	0.422131
58	0.013697	0.1342	0.446762
59	-0.111695	-1.0944	0.138262
60	0.232149	2.2746	0.012578

Partial Autocorrelation Function
Time lag k	PACF(k)	T-STAT	P-value
1	-0.480432	-4.7073	4e-06
2	-0.176245	-1.7268	0.043706
3	-0.127721	-1.2514	0.106914
4	-0.250484	-2.4542	0.00796
5	-0.102159	-1.0009	0.159685
6	-0.094628	-0.9272	0.178083
7	0.067847	0.6648	0.253898
8	0.101265	0.9922	0.161801
9	-0.002967	-0.0291	0.488435
10	-0.18218	-1.785	0.038711
11	-0.266546	-2.6116	0.005229
12	0.238651	2.3383	0.010724
13	0.003048	0.0299	0.488119
14	0.018733	0.1835	0.427377
15	-0.11306	-1.1078	0.135368
16	-0.044501	-0.436	0.331902
17	-0.039386	-0.3859	0.35021
18	0.100023	0.98	0.164771
19	-0.11953	-1.1712	0.122218
20	-0.010826	-0.1061	0.457874
21	0.004717	0.0462	0.481616
22	0.036209	0.3548	0.361768
23	-0.036695	-0.3595	0.359992
24	0.11902	1.1662	0.12322
25	-0.018289	-0.1792	0.429081
26	0.091408	0.8956	0.186349
27	-0.083964	-0.8227	0.206367
28	-0.101741	-0.9969	0.16067
29	0.132306	1.2963	0.098984
30	-0.054183	-0.5309	0.298364
31	-0.100289	-0.9826	0.164132
32	0.029235	0.2864	0.387577
33	0.053269	0.5219	0.301462
34	-0.035232	-0.3452	0.365349
35	-0.1077	-1.0552	0.146982
36	0.052901	0.5183	0.302712
37	0.04989	0.4888	0.313043
38	-0.051972	-0.5092	0.305882
39	-0.044865	-0.4396	0.330611
40	-0.0939	-0.92	0.179931
41	0.003239	0.0317	0.487374
42	0.020931	0.2051	0.418971
43	0.04958	0.4858	0.314113
44	0.013133	0.1287	0.448942
45	-0.112608	-1.1033	0.136321
46	0.092744	0.9087	0.182892
47	-0.047903	-0.4693	0.319942
48	-0.142043	-1.3917	0.083611
49	-0.053907	-0.5282	0.299298
50	-0.077891	-0.7632	0.223617
51	-0.020784	-0.2036	0.419534
52	-0.074259	-0.7276	0.234318
53	0.020735	0.2032	0.419719
54	0.042717	0.4185	0.338244
55	-0.014412	-0.1412	0.443999
56	-0.043517	-0.4264	0.335393
57	-0.02237	-0.2192	0.413486
58	-0.0622	-0.6094	0.271838
59	-0.030808	-0.3019	0.381708
60	0.081325	0.7968	0.213762

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.480432 & -4.7073 & 4e-06 \tabularnewline
2 & -0.176245 & -1.7268 & 0.043706 \tabularnewline
3 & -0.127721 & -1.2514 & 0.106914 \tabularnewline
4 & -0.250484 & -2.4542 & 0.00796 \tabularnewline
5 & -0.102159 & -1.0009 & 0.159685 \tabularnewline
6 & -0.094628 & -0.9272 & 0.178083 \tabularnewline
7 & 0.067847 & 0.6648 & 0.253898 \tabularnewline
8 & 0.101265 & 0.9922 & 0.161801 \tabularnewline
9 & -0.002967 & -0.0291 & 0.488435 \tabularnewline
10 & -0.18218 & -1.785 & 0.038711 \tabularnewline
11 & -0.266546 & -2.6116 & 0.005229 \tabularnewline
12 & 0.238651 & 2.3383 & 0.010724 \tabularnewline
13 & 0.003048 & 0.0299 & 0.488119 \tabularnewline
14 & 0.018733 & 0.1835 & 0.427377 \tabularnewline
15 & -0.11306 & -1.1078 & 0.135368 \tabularnewline
16 & -0.044501 & -0.436 & 0.331902 \tabularnewline
17 & -0.039386 & -0.3859 & 0.35021 \tabularnewline
18 & 0.100023 & 0.98 & 0.164771 \tabularnewline
19 & -0.11953 & -1.1712 & 0.122218 \tabularnewline
20 & -0.010826 & -0.1061 & 0.457874 \tabularnewline
21 & 0.004717 & 0.0462 & 0.481616 \tabularnewline
22 & 0.036209 & 0.3548 & 0.361768 \tabularnewline
23 & -0.036695 & -0.3595 & 0.359992 \tabularnewline
24 & 0.11902 & 1.1662 & 0.12322 \tabularnewline
25 & -0.018289 & -0.1792 & 0.429081 \tabularnewline
26 & 0.091408 & 0.8956 & 0.186349 \tabularnewline
27 & -0.083964 & -0.8227 & 0.206367 \tabularnewline
28 & -0.101741 & -0.9969 & 0.16067 \tabularnewline
29 & 0.132306 & 1.2963 & 0.098984 \tabularnewline
30 & -0.054183 & -0.5309 & 0.298364 \tabularnewline
31 & -0.100289 & -0.9826 & 0.164132 \tabularnewline
32 & 0.029235 & 0.2864 & 0.387577 \tabularnewline
33 & 0.053269 & 0.5219 & 0.301462 \tabularnewline
34 & -0.035232 & -0.3452 & 0.365349 \tabularnewline
35 & -0.1077 & -1.0552 & 0.146982 \tabularnewline
36 & 0.052901 & 0.5183 & 0.302712 \tabularnewline
37 & 0.04989 & 0.4888 & 0.313043 \tabularnewline
38 & -0.051972 & -0.5092 & 0.305882 \tabularnewline
39 & -0.044865 & -0.4396 & 0.330611 \tabularnewline
40 & -0.0939 & -0.92 & 0.179931 \tabularnewline
41 & 0.003239 & 0.0317 & 0.487374 \tabularnewline
42 & 0.020931 & 0.2051 & 0.418971 \tabularnewline
43 & 0.04958 & 0.4858 & 0.314113 \tabularnewline
44 & 0.013133 & 0.1287 & 0.448942 \tabularnewline
45 & -0.112608 & -1.1033 & 0.136321 \tabularnewline
46 & 0.092744 & 0.9087 & 0.182892 \tabularnewline
47 & -0.047903 & -0.4693 & 0.319942 \tabularnewline
48 & -0.142043 & -1.3917 & 0.083611 \tabularnewline
49 & -0.053907 & -0.5282 & 0.299298 \tabularnewline
50 & -0.077891 & -0.7632 & 0.223617 \tabularnewline
51 & -0.020784 & -0.2036 & 0.419534 \tabularnewline
52 & -0.074259 & -0.7276 & 0.234318 \tabularnewline
53 & 0.020735 & 0.2032 & 0.419719 \tabularnewline
54 & 0.042717 & 0.4185 & 0.338244 \tabularnewline
55 & -0.014412 & -0.1412 & 0.443999 \tabularnewline
56 & -0.043517 & -0.4264 & 0.335393 \tabularnewline
57 & -0.02237 & -0.2192 & 0.413486 \tabularnewline
58 & -0.0622 & -0.6094 & 0.271838 \tabularnewline
59 & -0.030808 & -0.3019 & 0.381708 \tabularnewline
60 & 0.081325 & 0.7968 & 0.213762 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=33255&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]-0.480432[/C][C]-4.7073[/C][C]4e-06[/C][/ROW]
[ROW][C]2[/C][C]-0.176245[/C][C]-1.7268[/C][C]0.043706[/C][/ROW]
[ROW][C]3[/C][C]-0.127721[/C][C]-1.2514[/C][C]0.106914[/C][/ROW]
[ROW][C]4[/C][C]-0.250484[/C][C]-2.4542[/C][C]0.00796[/C][/ROW]
[ROW][C]5[/C][C]-0.102159[/C][C]-1.0009[/C][C]0.159685[/C][/ROW]
[ROW][C]6[/C][C]-0.094628[/C][C]-0.9272[/C][C]0.178083[/C][/ROW]
[ROW][C]7[/C][C]0.067847[/C][C]0.6648[/C][C]0.253898[/C][/ROW]
[ROW][C]8[/C][C]0.101265[/C][C]0.9922[/C][C]0.161801[/C][/ROW]
[ROW][C]9[/C][C]-0.002967[/C][C]-0.0291[/C][C]0.488435[/C][/ROW]
[ROW][C]10[/C][C]-0.18218[/C][C]-1.785[/C][C]0.038711[/C][/ROW]
[ROW][C]11[/C][C]-0.266546[/C][C]-2.6116[/C][C]0.005229[/C][/ROW]
[ROW][C]12[/C][C]0.238651[/C][C]2.3383[/C][C]0.010724[/C][/ROW]
[ROW][C]13[/C][C]0.003048[/C][C]0.0299[/C][C]0.488119[/C][/ROW]
[ROW][C]14[/C][C]0.018733[/C][C]0.1835[/C][C]0.427377[/C][/ROW]
[ROW][C]15[/C][C]-0.11306[/C][C]-1.1078[/C][C]0.135368[/C][/ROW]
[ROW][C]16[/C][C]-0.044501[/C][C]-0.436[/C][C]0.331902[/C][/ROW]
[ROW][C]17[/C][C]-0.039386[/C][C]-0.3859[/C][C]0.35021[/C][/ROW]
[ROW][C]18[/C][C]0.100023[/C][C]0.98[/C][C]0.164771[/C][/ROW]
[ROW][C]19[/C][C]-0.11953[/C][C]-1.1712[/C][C]0.122218[/C][/ROW]
[ROW][C]20[/C][C]-0.010826[/C][C]-0.1061[/C][C]0.457874[/C][/ROW]
[ROW][C]21[/C][C]0.004717[/C][C]0.0462[/C][C]0.481616[/C][/ROW]
[ROW][C]22[/C][C]0.036209[/C][C]0.3548[/C][C]0.361768[/C][/ROW]
[ROW][C]23[/C][C]-0.036695[/C][C]-0.3595[/C][C]0.359992[/C][/ROW]
[ROW][C]24[/C][C]0.11902[/C][C]1.1662[/C][C]0.12322[/C][/ROW]
[ROW][C]25[/C][C]-0.018289[/C][C]-0.1792[/C][C]0.429081[/C][/ROW]
[ROW][C]26[/C][C]0.091408[/C][C]0.8956[/C][C]0.186349[/C][/ROW]
[ROW][C]27[/C][C]-0.083964[/C][C]-0.8227[/C][C]0.206367[/C][/ROW]
[ROW][C]28[/C][C]-0.101741[/C][C]-0.9969[/C][C]0.16067[/C][/ROW]
[ROW][C]29[/C][C]0.132306[/C][C]1.2963[/C][C]0.098984[/C][/ROW]
[ROW][C]30[/C][C]-0.054183[/C][C]-0.5309[/C][C]0.298364[/C][/ROW]
[ROW][C]31[/C][C]-0.100289[/C][C]-0.9826[/C][C]0.164132[/C][/ROW]
[ROW][C]32[/C][C]0.029235[/C][C]0.2864[/C][C]0.387577[/C][/ROW]
[ROW][C]33[/C][C]0.053269[/C][C]0.5219[/C][C]0.301462[/C][/ROW]
[ROW][C]34[/C][C]-0.035232[/C][C]-0.3452[/C][C]0.365349[/C][/ROW]
[ROW][C]35[/C][C]-0.1077[/C][C]-1.0552[/C][C]0.146982[/C][/ROW]
[ROW][C]36[/C][C]0.052901[/C][C]0.5183[/C][C]0.302712[/C][/ROW]
[ROW][C]37[/C][C]0.04989[/C][C]0.4888[/C][C]0.313043[/C][/ROW]
[ROW][C]38[/C][C]-0.051972[/C][C]-0.5092[/C][C]0.305882[/C][/ROW]
[ROW][C]39[/C][C]-0.044865[/C][C]-0.4396[/C][C]0.330611[/C][/ROW]
[ROW][C]40[/C][C]-0.0939[/C][C]-0.92[/C][C]0.179931[/C][/ROW]
[ROW][C]41[/C][C]0.003239[/C][C]0.0317[/C][C]0.487374[/C][/ROW]
[ROW][C]42[/C][C]0.020931[/C][C]0.2051[/C][C]0.418971[/C][/ROW]
[ROW][C]43[/C][C]0.04958[/C][C]0.4858[/C][C]0.314113[/C][/ROW]
[ROW][C]44[/C][C]0.013133[/C][C]0.1287[/C][C]0.448942[/C][/ROW]
[ROW][C]45[/C][C]-0.112608[/C][C]-1.1033[/C][C]0.136321[/C][/ROW]
[ROW][C]46[/C][C]0.092744[/C][C]0.9087[/C][C]0.182892[/C][/ROW]
[ROW][C]47[/C][C]-0.047903[/C][C]-0.4693[/C][C]0.319942[/C][/ROW]
[ROW][C]48[/C][C]-0.142043[/C][C]-1.3917[/C][C]0.083611[/C][/ROW]
[ROW][C]49[/C][C]-0.053907[/C][C]-0.5282[/C][C]0.299298[/C][/ROW]
[ROW][C]50[/C][C]-0.077891[/C][C]-0.7632[/C][C]0.223617[/C][/ROW]
[ROW][C]51[/C][C]-0.020784[/C][C]-0.2036[/C][C]0.419534[/C][/ROW]
[ROW][C]52[/C][C]-0.074259[/C][C]-0.7276[/C][C]0.234318[/C][/ROW]
[ROW][C]53[/C][C]0.020735[/C][C]0.2032[/C][C]0.419719[/C][/ROW]
[ROW][C]54[/C][C]0.042717[/C][C]0.4185[/C][C]0.338244[/C][/ROW]
[ROW][C]55[/C][C]-0.014412[/C][C]-0.1412[/C][C]0.443999[/C][/ROW]
[ROW][C]56[/C][C]-0.043517[/C][C]-0.4264[/C][C]0.335393[/C][/ROW]
[ROW][C]57[/C][C]-0.02237[/C][C]-0.2192[/C][C]0.413486[/C][/ROW]
[ROW][C]58[/C][C]-0.0622[/C][C]-0.6094[/C][C]0.271838[/C][/ROW]
[ROW][C]59[/C][C]-0.030808[/C][C]-0.3019[/C][C]0.381708[/C][/ROW]
[ROW][C]60[/C][C]0.081325[/C][C]0.7968[/C][C]0.213762[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=33255&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=33255&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	-0.480432	-4.7073	4e-06
2	-0.176245	-1.7268	0.043706
3	-0.127721	-1.2514	0.106914
4	-0.250484	-2.4542	0.00796
5	-0.102159	-1.0009	0.159685
6	-0.094628	-0.9272	0.178083
7	0.067847	0.6648	0.253898
8	0.101265	0.9922	0.161801
9	-0.002967	-0.0291	0.488435
10	-0.18218	-1.785	0.038711
11	-0.266546	-2.6116	0.005229
12	0.238651	2.3383	0.010724
13	0.003048	0.0299	0.488119
14	0.018733	0.1835	0.427377
15	-0.11306	-1.1078	0.135368
16	-0.044501	-0.436	0.331902
17	-0.039386	-0.3859	0.35021
18	0.100023	0.98	0.164771
19	-0.11953	-1.1712	0.122218
20	-0.010826	-0.1061	0.457874
21	0.004717	0.0462	0.481616
22	0.036209	0.3548	0.361768
23	-0.036695	-0.3595	0.359992
24	0.11902	1.1662	0.12322
25	-0.018289	-0.1792	0.429081
26	0.091408	0.8956	0.186349
27	-0.083964	-0.8227	0.206367
28	-0.101741	-0.9969	0.16067
29	0.132306	1.2963	0.098984
30	-0.054183	-0.5309	0.298364
31	-0.100289	-0.9826	0.164132
32	0.029235	0.2864	0.387577
33	0.053269	0.5219	0.301462
34	-0.035232	-0.3452	0.365349
35	-0.1077	-1.0552	0.146982
36	0.052901	0.5183	0.302712
37	0.04989	0.4888	0.313043
38	-0.051972	-0.5092	0.305882
39	-0.044865	-0.4396	0.330611
40	-0.0939	-0.92	0.179931
41	0.003239	0.0317	0.487374
42	0.020931	0.2051	0.418971
43	0.04958	0.4858	0.314113
44	0.013133	0.1287	0.448942
45	-0.112608	-1.1033	0.136321
46	0.092744	0.9087	0.182892
47	-0.047903	-0.4693	0.319942
48	-0.142043	-1.3917	0.083611
49	-0.053907	-0.5282	0.299298
50	-0.077891	-0.7632	0.223617
51	-0.020784	-0.2036	0.419534
52	-0.074259	-0.7276	0.234318
53	0.020735	0.2032	0.419719
54	0.042717	0.4185	0.338244
55	-0.014412	-0.1412	0.443999
56	-0.043517	-0.4264	0.335393
57	-0.02237	-0.2192	0.413486
58	-0.0622	-0.6094	0.271838
59	-0.030808	-0.3019	0.381708
60	0.081325	0.7968	0.213762

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 = 0 ; par5 = 12 ;

Parameters (R input):

par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; 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 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