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Author

*The author of this computation has been verified*

R Software Module

rwasp_autocorrelation.wasp

Title produced by software

(Partial) Autocorrelation Function

Date of computation

Thu, 22 Dec 2011 10:54:31 -0500

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/2011/Dec/22/t13245692745qmty1c5hcd13lb.htm/, Retrieved Fri, 03 May 2024 10:44:12 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=159645, Retrieved Fri, 03 May 2024 10:44:12 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

114

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

-     [Testing Mean with unknown Variance - Critical Value] [] [2010-10-25 13:12:27] [b98453cac15ba1066b407e146608df68]
- RMPD  [Multiple Regression] [] [2011-12-22 13:45:12] [5a05da414fd67612c3b80d44effe0727]
- RM D    [(Partial) Autocorrelation Function] [] [2011-12-22 15:18:49] [5a05da414fd67612c3b80d44effe0727]
- R         [(Partial) Autocorrelation Function] [] [2011-12-22 15:20:17] [5a05da414fd67612c3b80d44effe0727]
- RM          [Spectral Analysis] [] [2011-12-22 15:33:22] [5a05da414fd67612c3b80d44effe0727]
- RM              [(Partial) Autocorrelation Function] [] [2011-12-22 15:54:31] [95610e892c4b5c84ff80f4c898567a9d] [Current]

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Dataseries X:

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Histogram

Boxplots

7.9
7.9
8.0
8.0
7.9
8.0
7.7
7.2
7.5
7.3
7.0
7.0
7.0
7.2
7.3
7.1
6.8
6.4
6.1
6.5
7.7
7.9
7.5
6.9
6.6
6.9
7.7
8.0
8.0
7.7
7.3
7.4
8.1
8.3
8.1
7.9
7.9
8.3
8.6
8.7
8.5
8.3
8.0
8.0
8.8
8.7
8.5
8.1
7.8
7.6
7.4
7.1
6.9
6.7
6.6
6.5
7.1
7.2
6.9
6.7

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	'Herman Ole Andreas Wold' @ wold.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Herman Ole Andreas Wold' @ wold.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=159645&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]'Herman Ole Andreas Wold' @ wold.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=159645&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159645&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	'Herman Ole Andreas Wold' @ wold.wessa.net

Autocorrelation Function
Time lag k	ACF(k)	T-STAT	P-value
1	0.030358	0.177	0.430274
2	0.042144	0.2457	0.403681
3	-0.428631	-2.4993	0.008717
4	-0.365602	-2.1318	0.020166
5	-0.220608	-1.2864	0.103505
6	0.058711	0.3423	0.367102
7	0.397067	2.3153	0.013382
8	0.14668	0.8553	0.19919
9	0.161992	0.9446	0.175772
10	-0.102036	-0.595	0.277902
11	0.000513	0.003	0.498815
12	-0.417414	-2.4339	0.010171
13	0.083067	0.4844	0.315619
14	-0.118772	-0.6926	0.246647
15	0.188117	1.0969	0.140196
16	0.053943	0.3145	0.377517
17	0.122417	0.7138	0.240109
18	0.094425	0.5506	0.292758
19	-0.184936	-1.0784	0.144234
20	0.009896	0.0577	0.477162
21	-0.107169	-0.6249	0.268105
22	0.002574	0.015	0.494056
23	-0.036308	-0.2117	0.416797
24	0.114962	0.6703	0.253586
25	-0.009726	-0.0567	0.477552
26	0.021176	0.1235	0.451229
27	-0.022636	-0.132	0.447884
28	0.017551	0.1023	0.459544
29	-0.063661	-0.3712	0.356394
30	-0.008313	-0.0485	0.480812
31	0.050818	0.2963	0.384394
32	-0.047732	-0.2783	0.391224
33	0.037135	0.2165	0.414934
34	NA	NA	NA
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 & 0.030358 & 0.177 & 0.430274 \tabularnewline
2 & 0.042144 & 0.2457 & 0.403681 \tabularnewline
3 & -0.428631 & -2.4993 & 0.008717 \tabularnewline
4 & -0.365602 & -2.1318 & 0.020166 \tabularnewline
5 & -0.220608 & -1.2864 & 0.103505 \tabularnewline
6 & 0.058711 & 0.3423 & 0.367102 \tabularnewline
7 & 0.397067 & 2.3153 & 0.013382 \tabularnewline
8 & 0.14668 & 0.8553 & 0.19919 \tabularnewline
9 & 0.161992 & 0.9446 & 0.175772 \tabularnewline
10 & -0.102036 & -0.595 & 0.277902 \tabularnewline
11 & 0.000513 & 0.003 & 0.498815 \tabularnewline
12 & -0.417414 & -2.4339 & 0.010171 \tabularnewline
13 & 0.083067 & 0.4844 & 0.315619 \tabularnewline
14 & -0.118772 & -0.6926 & 0.246647 \tabularnewline
15 & 0.188117 & 1.0969 & 0.140196 \tabularnewline
16 & 0.053943 & 0.3145 & 0.377517 \tabularnewline
17 & 0.122417 & 0.7138 & 0.240109 \tabularnewline
18 & 0.094425 & 0.5506 & 0.292758 \tabularnewline
19 & -0.184936 & -1.0784 & 0.144234 \tabularnewline
20 & 0.009896 & 0.0577 & 0.477162 \tabularnewline
21 & -0.107169 & -0.6249 & 0.268105 \tabularnewline
22 & 0.002574 & 0.015 & 0.494056 \tabularnewline
23 & -0.036308 & -0.2117 & 0.416797 \tabularnewline
24 & 0.114962 & 0.6703 & 0.253586 \tabularnewline
25 & -0.009726 & -0.0567 & 0.477552 \tabularnewline
26 & 0.021176 & 0.1235 & 0.451229 \tabularnewline
27 & -0.022636 & -0.132 & 0.447884 \tabularnewline
28 & 0.017551 & 0.1023 & 0.459544 \tabularnewline
29 & -0.063661 & -0.3712 & 0.356394 \tabularnewline
30 & -0.008313 & -0.0485 & 0.480812 \tabularnewline
31 & 0.050818 & 0.2963 & 0.384394 \tabularnewline
32 & -0.047732 & -0.2783 & 0.391224 \tabularnewline
33 & 0.037135 & 0.2165 & 0.414934 \tabularnewline
34 & NA & NA & NA \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=159645&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]0.030358[/C][C]0.177[/C][C]0.430274[/C][/ROW]
[ROW][C]2[/C][C]0.042144[/C][C]0.2457[/C][C]0.403681[/C][/ROW]
[ROW][C]3[/C][C]-0.428631[/C][C]-2.4993[/C][C]0.008717[/C][/ROW]
[ROW][C]4[/C][C]-0.365602[/C][C]-2.1318[/C][C]0.020166[/C][/ROW]
[ROW][C]5[/C][C]-0.220608[/C][C]-1.2864[/C][C]0.103505[/C][/ROW]
[ROW][C]6[/C][C]0.058711[/C][C]0.3423[/C][C]0.367102[/C][/ROW]
[ROW][C]7[/C][C]0.397067[/C][C]2.3153[/C][C]0.013382[/C][/ROW]
[ROW][C]8[/C][C]0.14668[/C][C]0.8553[/C][C]0.19919[/C][/ROW]
[ROW][C]9[/C][C]0.161992[/C][C]0.9446[/C][C]0.175772[/C][/ROW]
[ROW][C]10[/C][C]-0.102036[/C][C]-0.595[/C][C]0.277902[/C][/ROW]
[ROW][C]11[/C][C]0.000513[/C][C]0.003[/C][C]0.498815[/C][/ROW]
[ROW][C]12[/C][C]-0.417414[/C][C]-2.4339[/C][C]0.010171[/C][/ROW]
[ROW][C]13[/C][C]0.083067[/C][C]0.4844[/C][C]0.315619[/C][/ROW]
[ROW][C]14[/C][C]-0.118772[/C][C]-0.6926[/C][C]0.246647[/C][/ROW]
[ROW][C]15[/C][C]0.188117[/C][C]1.0969[/C][C]0.140196[/C][/ROW]
[ROW][C]16[/C][C]0.053943[/C][C]0.3145[/C][C]0.377517[/C][/ROW]
[ROW][C]17[/C][C]0.122417[/C][C]0.7138[/C][C]0.240109[/C][/ROW]
[ROW][C]18[/C][C]0.094425[/C][C]0.5506[/C][C]0.292758[/C][/ROW]
[ROW][C]19[/C][C]-0.184936[/C][C]-1.0784[/C][C]0.144234[/C][/ROW]
[ROW][C]20[/C][C]0.009896[/C][C]0.0577[/C][C]0.477162[/C][/ROW]
[ROW][C]21[/C][C]-0.107169[/C][C]-0.6249[/C][C]0.268105[/C][/ROW]
[ROW][C]22[/C][C]0.002574[/C][C]0.015[/C][C]0.494056[/C][/ROW]
[ROW][C]23[/C][C]-0.036308[/C][C]-0.2117[/C][C]0.416797[/C][/ROW]
[ROW][C]24[/C][C]0.114962[/C][C]0.6703[/C][C]0.253586[/C][/ROW]
[ROW][C]25[/C][C]-0.009726[/C][C]-0.0567[/C][C]0.477552[/C][/ROW]
[ROW][C]26[/C][C]0.021176[/C][C]0.1235[/C][C]0.451229[/C][/ROW]
[ROW][C]27[/C][C]-0.022636[/C][C]-0.132[/C][C]0.447884[/C][/ROW]
[ROW][C]28[/C][C]0.017551[/C][C]0.1023[/C][C]0.459544[/C][/ROW]
[ROW][C]29[/C][C]-0.063661[/C][C]-0.3712[/C][C]0.356394[/C][/ROW]
[ROW][C]30[/C][C]-0.008313[/C][C]-0.0485[/C][C]0.480812[/C][/ROW]
[ROW][C]31[/C][C]0.050818[/C][C]0.2963[/C][C]0.384394[/C][/ROW]
[ROW][C]32[/C][C]-0.047732[/C][C]-0.2783[/C][C]0.391224[/C][/ROW]
[ROW][C]33[/C][C]0.037135[/C][C]0.2165[/C][C]0.414934[/C][/ROW]
[ROW][C]34[/C][C]NA[/C][C]NA[/C][C]NA[/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=159645&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159645&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	0.030358	0.177	0.430274
2	0.042144	0.2457	0.403681
3	-0.428631	-2.4993	0.008717
4	-0.365602	-2.1318	0.020166
5	-0.220608	-1.2864	0.103505
6	0.058711	0.3423	0.367102
7	0.397067	2.3153	0.013382
8	0.14668	0.8553	0.19919
9	0.161992	0.9446	0.175772
10	-0.102036	-0.595	0.277902
11	0.000513	0.003	0.498815
12	-0.417414	-2.4339	0.010171
13	0.083067	0.4844	0.315619
14	-0.118772	-0.6926	0.246647
15	0.188117	1.0969	0.140196
16	0.053943	0.3145	0.377517
17	0.122417	0.7138	0.240109
18	0.094425	0.5506	0.292758
19	-0.184936	-1.0784	0.144234
20	0.009896	0.0577	0.477162
21	-0.107169	-0.6249	0.268105
22	0.002574	0.015	0.494056
23	-0.036308	-0.2117	0.416797
24	0.114962	0.6703	0.253586
25	-0.009726	-0.0567	0.477552
26	0.021176	0.1235	0.451229
27	-0.022636	-0.132	0.447884
28	0.017551	0.1023	0.459544
29	-0.063661	-0.3712	0.356394
30	-0.008313	-0.0485	0.480812
31	0.050818	0.2963	0.384394
32	-0.047732	-0.2783	0.391224
33	0.037135	0.2165	0.414934
34	NA	NA	NA
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	0.030358	0.177	0.430274
2	0.04126	0.2406	0.40566
3	-0.432243	-2.5204	0.008291
4	-0.412596	-2.4058	0.010861
5	-0.306291	-1.786	0.041513
6	-0.254478	-1.4838	0.073531
7	0.044456	0.2592	0.398513
8	-0.226294	-1.3195	0.097908
9	-0.148116	-0.8637	0.196914
10	-0.009731	-0.0567	0.477541
11	0.282372	1.6465	0.054437
12	-0.283492	-1.653	0.053765
13	0.125855	0.7339	0.234035
14	-0.051275	-0.299	0.383387
15	0.060112	0.3505	0.36406
16	-0.129121	-0.7529	0.228346
17	-0.075473	-0.4401	0.331333
18	0.054949	0.3204	0.375311
19	-0.012504	-0.0729	0.471153
20	-0.078674	-0.4587	0.324669
21	0.116232	0.6777	0.251261
22	-0.018472	-0.1077	0.457431
23	0.112407	0.6554	0.258298
24	-0.090144	-0.5256	0.301281
25	0.053019	0.3091	0.379547
26	-0.125028	-0.729	0.235487
27	0.040015	0.2333	0.408453
28	-0.183274	-1.0687	0.146375
29	-0.088424	-0.5156	0.304736
30	-0.04646	-0.2709	0.39405
31	-0.041886	-0.2442	0.404258
32	-0.139427	-0.813	0.210939
33	0.011738	0.0684	0.472917
34	NA	NA	NA
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 & 0.030358 & 0.177 & 0.430274 \tabularnewline
2 & 0.04126 & 0.2406 & 0.40566 \tabularnewline
3 & -0.432243 & -2.5204 & 0.008291 \tabularnewline
4 & -0.412596 & -2.4058 & 0.010861 \tabularnewline
5 & -0.306291 & -1.786 & 0.041513 \tabularnewline
6 & -0.254478 & -1.4838 & 0.073531 \tabularnewline
7 & 0.044456 & 0.2592 & 0.398513 \tabularnewline
8 & -0.226294 & -1.3195 & 0.097908 \tabularnewline
9 & -0.148116 & -0.8637 & 0.196914 \tabularnewline
10 & -0.009731 & -0.0567 & 0.477541 \tabularnewline
11 & 0.282372 & 1.6465 & 0.054437 \tabularnewline
12 & -0.283492 & -1.653 & 0.053765 \tabularnewline
13 & 0.125855 & 0.7339 & 0.234035 \tabularnewline
14 & -0.051275 & -0.299 & 0.383387 \tabularnewline
15 & 0.060112 & 0.3505 & 0.36406 \tabularnewline
16 & -0.129121 & -0.7529 & 0.228346 \tabularnewline
17 & -0.075473 & -0.4401 & 0.331333 \tabularnewline
18 & 0.054949 & 0.3204 & 0.375311 \tabularnewline
19 & -0.012504 & -0.0729 & 0.471153 \tabularnewline
20 & -0.078674 & -0.4587 & 0.324669 \tabularnewline
21 & 0.116232 & 0.6777 & 0.251261 \tabularnewline
22 & -0.018472 & -0.1077 & 0.457431 \tabularnewline
23 & 0.112407 & 0.6554 & 0.258298 \tabularnewline
24 & -0.090144 & -0.5256 & 0.301281 \tabularnewline
25 & 0.053019 & 0.3091 & 0.379547 \tabularnewline
26 & -0.125028 & -0.729 & 0.235487 \tabularnewline
27 & 0.040015 & 0.2333 & 0.408453 \tabularnewline
28 & -0.183274 & -1.0687 & 0.146375 \tabularnewline
29 & -0.088424 & -0.5156 & 0.304736 \tabularnewline
30 & -0.04646 & -0.2709 & 0.39405 \tabularnewline
31 & -0.041886 & -0.2442 & 0.404258 \tabularnewline
32 & -0.139427 & -0.813 & 0.210939 \tabularnewline
33 & 0.011738 & 0.0684 & 0.472917 \tabularnewline
34 & NA & NA & NA \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=159645&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]0.030358[/C][C]0.177[/C][C]0.430274[/C][/ROW]
[ROW][C]2[/C][C]0.04126[/C][C]0.2406[/C][C]0.40566[/C][/ROW]
[ROW][C]3[/C][C]-0.432243[/C][C]-2.5204[/C][C]0.008291[/C][/ROW]
[ROW][C]4[/C][C]-0.412596[/C][C]-2.4058[/C][C]0.010861[/C][/ROW]
[ROW][C]5[/C][C]-0.306291[/C][C]-1.786[/C][C]0.041513[/C][/ROW]
[ROW][C]6[/C][C]-0.254478[/C][C]-1.4838[/C][C]0.073531[/C][/ROW]
[ROW][C]7[/C][C]0.044456[/C][C]0.2592[/C][C]0.398513[/C][/ROW]
[ROW][C]8[/C][C]-0.226294[/C][C]-1.3195[/C][C]0.097908[/C][/ROW]
[ROW][C]9[/C][C]-0.148116[/C][C]-0.8637[/C][C]0.196914[/C][/ROW]
[ROW][C]10[/C][C]-0.009731[/C][C]-0.0567[/C][C]0.477541[/C][/ROW]
[ROW][C]11[/C][C]0.282372[/C][C]1.6465[/C][C]0.054437[/C][/ROW]
[ROW][C]12[/C][C]-0.283492[/C][C]-1.653[/C][C]0.053765[/C][/ROW]
[ROW][C]13[/C][C]0.125855[/C][C]0.7339[/C][C]0.234035[/C][/ROW]
[ROW][C]14[/C][C]-0.051275[/C][C]-0.299[/C][C]0.383387[/C][/ROW]
[ROW][C]15[/C][C]0.060112[/C][C]0.3505[/C][C]0.36406[/C][/ROW]
[ROW][C]16[/C][C]-0.129121[/C][C]-0.7529[/C][C]0.228346[/C][/ROW]
[ROW][C]17[/C][C]-0.075473[/C][C]-0.4401[/C][C]0.331333[/C][/ROW]
[ROW][C]18[/C][C]0.054949[/C][C]0.3204[/C][C]0.375311[/C][/ROW]
[ROW][C]19[/C][C]-0.012504[/C][C]-0.0729[/C][C]0.471153[/C][/ROW]
[ROW][C]20[/C][C]-0.078674[/C][C]-0.4587[/C][C]0.324669[/C][/ROW]
[ROW][C]21[/C][C]0.116232[/C][C]0.6777[/C][C]0.251261[/C][/ROW]
[ROW][C]22[/C][C]-0.018472[/C][C]-0.1077[/C][C]0.457431[/C][/ROW]
[ROW][C]23[/C][C]0.112407[/C][C]0.6554[/C][C]0.258298[/C][/ROW]
[ROW][C]24[/C][C]-0.090144[/C][C]-0.5256[/C][C]0.301281[/C][/ROW]
[ROW][C]25[/C][C]0.053019[/C][C]0.3091[/C][C]0.379547[/C][/ROW]
[ROW][C]26[/C][C]-0.125028[/C][C]-0.729[/C][C]0.235487[/C][/ROW]
[ROW][C]27[/C][C]0.040015[/C][C]0.2333[/C][C]0.408453[/C][/ROW]
[ROW][C]28[/C][C]-0.183274[/C][C]-1.0687[/C][C]0.146375[/C][/ROW]
[ROW][C]29[/C][C]-0.088424[/C][C]-0.5156[/C][C]0.304736[/C][/ROW]
[ROW][C]30[/C][C]-0.04646[/C][C]-0.2709[/C][C]0.39405[/C][/ROW]
[ROW][C]31[/C][C]-0.041886[/C][C]-0.2442[/C][C]0.404258[/C][/ROW]
[ROW][C]32[/C][C]-0.139427[/C][C]-0.813[/C][C]0.210939[/C][/ROW]
[ROW][C]33[/C][C]0.011738[/C][C]0.0684[/C][C]0.472917[/C][/ROW]
[ROW][C]34[/C][C]NA[/C][C]NA[/C][C]NA[/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=159645&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=159645&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	0.030358	0.177	0.430274
2	0.04126	0.2406	0.40566
3	-0.432243	-2.5204	0.008291
4	-0.412596	-2.4058	0.010861
5	-0.306291	-1.786	0.041513
6	-0.254478	-1.4838	0.073531
7	0.044456	0.2592	0.398513
8	-0.226294	-1.3195	0.097908
9	-0.148116	-0.8637	0.196914
10	-0.009731	-0.0567	0.477541
11	0.282372	1.6465	0.054437
12	-0.283492	-1.653	0.053765
13	0.125855	0.7339	0.234035
14	-0.051275	-0.299	0.383387
15	0.060112	0.3505	0.36406
16	-0.129121	-0.7529	0.228346
17	-0.075473	-0.4401	0.331333
18	0.054949	0.3204	0.375311
19	-0.012504	-0.0729	0.471153
20	-0.078674	-0.4587	0.324669
21	0.116232	0.6777	0.251261
22	-0.018472	-0.1077	0.457431
23	0.112407	0.6554	0.258298
24	-0.090144	-0.5256	0.301281
25	0.053019	0.3091	0.379547
26	-0.125028	-0.729	0.235487
27	0.040015	0.2333	0.408453
28	-0.183274	-1.0687	0.146375
29	-0.088424	-0.5156	0.304736
30	-0.04646	-0.2709	0.39405
31	-0.041886	-0.2442	0.404258
32	-0.139427	-0.813	0.210939
33	0.011738	0.0684	0.472917
34	NA	NA	NA
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

Figure 3

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;

Parameters (R input):

par1 = 60 ; par2 = 1 ; par3 = 2 ; par4 = 2 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = ;

R code (references can be found in the software module):

if (par1 == 'Default') {
par1 = 10*log10(length(x))
} else {
par1 <- as.numeric(par1)
}
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
par7 <- as.numeric(par7)
if (par8 != '') par8 <- as.numeric(par8)
ox <- x
if (par8 == '') {
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
} else {
x <- log(x,base=par8)
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='picts.png')
op <- par(mfrow=c(2,1))
plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
if (par8=='') {
mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
} else {
mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
}
plot(x,type='l', main=mytitle,xlab='time',ylab='value')
par(op)
dev.off()
bitmap(file='pic1.png')
racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 2:(par1+1)) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code