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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationFri, 10 Dec 2010 11:19:24 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/10/t1291979876etegzjwtx5gc3pb.htm/, Retrieved Mon, 29 Apr 2024 13:41:47 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107555, Retrieved Mon, 29 Apr 2024 13:41:47 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact181

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [Unemployment] [2010-11-29 09:29:57] [b98453cac15ba1066b407e146608df68]
-   PD  [Variance Reduction Matrix] [WS9 - Variance Re...] [2010-12-04 11:04:59] [8ef49741e164ec6343c90c7935194465]
-   P     [Variance Reduction Matrix] [WS 9 VRM] [2010-12-05 14:01:21] [8214fe6d084e5ad7598b249a26cc9f06]
- RMPD      [(Partial) Autocorrelation Function] [paper ACF] [2010-12-10 10:47:04] [8214fe6d084e5ad7598b249a26cc9f06]
-   P           [(Partial) Autocorrelation Function] [paper acf met D=1] [2010-12-10 11:19:24] [b47314d83d48c7bf812ec2bcd743b159] [Current]
- RMP             [Spectral Analysis] [paper - cum perio...] [2010-12-10 11:22:34] [8214fe6d084e5ad7598b249a26cc9f06]
-   P               [Spectral Analysis] [paper - cum perio...] [2010-12-10 11:27:22] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                [Spectral Analysis] [cum periodogram 2 ] [2010-12-20 20:28:39] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                  [Spectral Analysis] [cum per 2 paper] [2010-12-22 13:46:56] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                    [Spectral Analysis] [cum per 1 middeng...] [2010-12-22 19:06:59] [8214fe6d084e5ad7598b249a26cc9f06]
-   P                       [Spectral Analysis] [cum per 2 middeng...] [2010-12-22 19:08:52] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                        [Spectral Analysis] [cum per 1 hoogges...] [2010-12-22 19:10:38] [8214fe6d084e5ad7598b249a26cc9f06]
-   P                           [Spectral Analysis] [cum per 2 hoogges...] [2010-12-22 19:12:39] [8214fe6d084e5ad7598b249a26cc9f06]
- RMPD                            [Standard Deviation-Mean Plot] [sdmp laaggeschoolden] [2010-12-22 19:15:16] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                              [Standard Deviation-Mean Plot] [sdmp middengescho...] [2010-12-22 19:17:33] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                                [Standard Deviation-Mean Plot] [sdmp hooggeschoolden] [2010-12-22 19:20:25] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                                [Standard Deviation-Mean Plot] [sdmp hooggeschoolden] [2010-12-22 19:20:25] [8214fe6d084e5ad7598b249a26cc9f06]
- RMPD                                [ARIMA Backward Selection] [arima backward se...] [2010-12-22 19:29:00] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                                  [ARIMA Backward Selection] [arima backward se...] [2010-12-22 19:34:28] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                                    [ARIMA Backward Selection] [arima backward se...] [2010-12-22 22:09:56] [8214fe6d084e5ad7598b249a26cc9f06]
-    D              [Spectral Analysis] [cum periodogram] [2010-12-20 20:25:35] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                [Spectral Analysis] [cum periodogram l...] [2010-12-21 19:30:31] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD            [(Partial) Autocorrelation Function] [acf 2] [2010-12-20 19:51:16] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD              [(Partial) Autocorrelation Function] [acf 2 laaggeschoo...] [2010-12-21 19:26:54] [8214fe6d084e5ad7598b249a26cc9f06]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.579
2.146
2.462
3.695
4.831
5.134
6.250
5.760
6.249
2.917
1.741
2.359
1.511
2.059
2.635
2.867
4.403
5.720
4.502
5.749
5.627
2.846
1.762
2.429
1.169
2.154
2.249
2.687
4.359
5.382
4.459
6.398
4.596
3.024
1.887
2.070
1.351
2.218
2.461
3.028
4.784
4.975
4.607
6.249
4.809
3.157
1.910
2.228
1.594
2.467
2.222
3.607
4.685
4.962
5.770
5.480
5.000
3.228
1.993
2.288
1.580
2.111
2.192
3.601
4.665
4.876
5.813
5.589
5.331
3.075
2.002
2.306
1.507
1.992
2.487
3.490
4.647
5.594
5.611
5.788
6.204
3.013
1.931
2.549
1.504
2.090
2.702
2.939
4.500
6.208
6.415
5.657
5.964
3.163
1.997
2.422
1.376
2.202
2.683
3.303
5.202
5.231
4.880
7.998
4.977
3.531
2.025
2.205
1.442
2.238
2.179
3.218
5.139
4.990
4.914
6.084
5.672
3.548
1.793
2.086

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107555&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]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107555&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107555&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.336919-3.50140.000337
2-0.021308-0.22140.412582
30.2196732.28290.012197
4-0.055926-0.58120.281158
50.0684360.71120.239246
60.1299511.35050.089841
7-0.118369-1.23010.110661
80.0426550.44330.329223
90.138181.4360.076945
10-0.016509-0.17160.43205
110.0835920.86870.193464
12-0.213401-2.21770.014334
130.1190861.23760.109278
140.2175122.26050.012899
15-0.120758-1.2550.106102
16-0.08323-0.86490.194492
170.1205861.25320.106426
18-0.04952-0.51460.303932
19-0.063965-0.66470.253815
200.0872550.90680.183272
21-0.082208-0.85430.197405
22-0.153687-1.59720.056576
230.2420712.51570.006676
24-0.117789-1.22410.111789
25-0.147477-1.53260.064146
260.1403651.45870.073773
27-0.064521-0.67050.251977
28-1.9e-05-2e-040.499923
290.0329570.34250.36632
30-0.082775-0.86020.195786
31-0.001277-0.01330.494719
320.0630260.6550.256934
33-0.08358-0.86860.193499
34-0.049817-0.51770.302859
350.0044650.04640.481539
36-0.094242-0.97940.164788
370.1380581.43470.077125
38-0.114847-1.19350.11764
39-0.024991-0.25970.39779
400.0655380.68110.248637
410.0135570.14090.444112
42-0.041328-0.42950.334211
430.0556290.57810.282197
44-0.020026-0.20810.417765
45-0.039133-0.40670.342524
460.1215561.26330.10461
47-0.027017-0.28080.389711
48-0.190156-1.97620.025343

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.336919 & -3.5014 & 0.000337 \tabularnewline
2 & -0.021308 & -0.2214 & 0.412582 \tabularnewline
3 & 0.219673 & 2.2829 & 0.012197 \tabularnewline
4 & -0.055926 & -0.5812 & 0.281158 \tabularnewline
5 & 0.068436 & 0.7112 & 0.239246 \tabularnewline
6 & 0.129951 & 1.3505 & 0.089841 \tabularnewline
7 & -0.118369 & -1.2301 & 0.110661 \tabularnewline
8 & 0.042655 & 0.4433 & 0.329223 \tabularnewline
9 & 0.13818 & 1.436 & 0.076945 \tabularnewline
10 & -0.016509 & -0.1716 & 0.43205 \tabularnewline
11 & 0.083592 & 0.8687 & 0.193464 \tabularnewline
12 & -0.213401 & -2.2177 & 0.014334 \tabularnewline
13 & 0.119086 & 1.2376 & 0.109278 \tabularnewline
14 & 0.217512 & 2.2605 & 0.012899 \tabularnewline
15 & -0.120758 & -1.255 & 0.106102 \tabularnewline
16 & -0.08323 & -0.8649 & 0.194492 \tabularnewline
17 & 0.120586 & 1.2532 & 0.106426 \tabularnewline
18 & -0.04952 & -0.5146 & 0.303932 \tabularnewline
19 & -0.063965 & -0.6647 & 0.253815 \tabularnewline
20 & 0.087255 & 0.9068 & 0.183272 \tabularnewline
21 & -0.082208 & -0.8543 & 0.197405 \tabularnewline
22 & -0.153687 & -1.5972 & 0.056576 \tabularnewline
23 & 0.242071 & 2.5157 & 0.006676 \tabularnewline
24 & -0.117789 & -1.2241 & 0.111789 \tabularnewline
25 & -0.147477 & -1.5326 & 0.064146 \tabularnewline
26 & 0.140365 & 1.4587 & 0.073773 \tabularnewline
27 & -0.064521 & -0.6705 & 0.251977 \tabularnewline
28 & -1.9e-05 & -2e-04 & 0.499923 \tabularnewline
29 & 0.032957 & 0.3425 & 0.36632 \tabularnewline
30 & -0.082775 & -0.8602 & 0.195786 \tabularnewline
31 & -0.001277 & -0.0133 & 0.494719 \tabularnewline
32 & 0.063026 & 0.655 & 0.256934 \tabularnewline
33 & -0.08358 & -0.8686 & 0.193499 \tabularnewline
34 & -0.049817 & -0.5177 & 0.302859 \tabularnewline
35 & 0.004465 & 0.0464 & 0.481539 \tabularnewline
36 & -0.094242 & -0.9794 & 0.164788 \tabularnewline
37 & 0.138058 & 1.4347 & 0.077125 \tabularnewline
38 & -0.114847 & -1.1935 & 0.11764 \tabularnewline
39 & -0.024991 & -0.2597 & 0.39779 \tabularnewline
40 & 0.065538 & 0.6811 & 0.248637 \tabularnewline
41 & 0.013557 & 0.1409 & 0.444112 \tabularnewline
42 & -0.041328 & -0.4295 & 0.334211 \tabularnewline
43 & 0.055629 & 0.5781 & 0.282197 \tabularnewline
44 & -0.020026 & -0.2081 & 0.417765 \tabularnewline
45 & -0.039133 & -0.4067 & 0.342524 \tabularnewline
46 & 0.121556 & 1.2633 & 0.10461 \tabularnewline
47 & -0.027017 & -0.2808 & 0.389711 \tabularnewline
48 & -0.190156 & -1.9762 & 0.025343 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107555&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]-0.336919[/C][C]-3.5014[/C][C]0.000337[/C][/ROW]
[ROW][C]2[/C][C]-0.021308[/C][C]-0.2214[/C][C]0.412582[/C][/ROW]
[ROW][C]3[/C][C]0.219673[/C][C]2.2829[/C][C]0.012197[/C][/ROW]
[ROW][C]4[/C][C]-0.055926[/C][C]-0.5812[/C][C]0.281158[/C][/ROW]
[ROW][C]5[/C][C]0.068436[/C][C]0.7112[/C][C]0.239246[/C][/ROW]
[ROW][C]6[/C][C]0.129951[/C][C]1.3505[/C][C]0.089841[/C][/ROW]
[ROW][C]7[/C][C]-0.118369[/C][C]-1.2301[/C][C]0.110661[/C][/ROW]
[ROW][C]8[/C][C]0.042655[/C][C]0.4433[/C][C]0.329223[/C][/ROW]
[ROW][C]9[/C][C]0.13818[/C][C]1.436[/C][C]0.076945[/C][/ROW]
[ROW][C]10[/C][C]-0.016509[/C][C]-0.1716[/C][C]0.43205[/C][/ROW]
[ROW][C]11[/C][C]0.083592[/C][C]0.8687[/C][C]0.193464[/C][/ROW]
[ROW][C]12[/C][C]-0.213401[/C][C]-2.2177[/C][C]0.014334[/C][/ROW]
[ROW][C]13[/C][C]0.119086[/C][C]1.2376[/C][C]0.109278[/C][/ROW]
[ROW][C]14[/C][C]0.217512[/C][C]2.2605[/C][C]0.012899[/C][/ROW]
[ROW][C]15[/C][C]-0.120758[/C][C]-1.255[/C][C]0.106102[/C][/ROW]
[ROW][C]16[/C][C]-0.08323[/C][C]-0.8649[/C][C]0.194492[/C][/ROW]
[ROW][C]17[/C][C]0.120586[/C][C]1.2532[/C][C]0.106426[/C][/ROW]
[ROW][C]18[/C][C]-0.04952[/C][C]-0.5146[/C][C]0.303932[/C][/ROW]
[ROW][C]19[/C][C]-0.063965[/C][C]-0.6647[/C][C]0.253815[/C][/ROW]
[ROW][C]20[/C][C]0.087255[/C][C]0.9068[/C][C]0.183272[/C][/ROW]
[ROW][C]21[/C][C]-0.082208[/C][C]-0.8543[/C][C]0.197405[/C][/ROW]
[ROW][C]22[/C][C]-0.153687[/C][C]-1.5972[/C][C]0.056576[/C][/ROW]
[ROW][C]23[/C][C]0.242071[/C][C]2.5157[/C][C]0.006676[/C][/ROW]
[ROW][C]24[/C][C]-0.117789[/C][C]-1.2241[/C][C]0.111789[/C][/ROW]
[ROW][C]25[/C][C]-0.147477[/C][C]-1.5326[/C][C]0.064146[/C][/ROW]
[ROW][C]26[/C][C]0.140365[/C][C]1.4587[/C][C]0.073773[/C][/ROW]
[ROW][C]27[/C][C]-0.064521[/C][C]-0.6705[/C][C]0.251977[/C][/ROW]
[ROW][C]28[/C][C]-1.9e-05[/C][C]-2e-04[/C][C]0.499923[/C][/ROW]
[ROW][C]29[/C][C]0.032957[/C][C]0.3425[/C][C]0.36632[/C][/ROW]
[ROW][C]30[/C][C]-0.082775[/C][C]-0.8602[/C][C]0.195786[/C][/ROW]
[ROW][C]31[/C][C]-0.001277[/C][C]-0.0133[/C][C]0.494719[/C][/ROW]
[ROW][C]32[/C][C]0.063026[/C][C]0.655[/C][C]0.256934[/C][/ROW]
[ROW][C]33[/C][C]-0.08358[/C][C]-0.8686[/C][C]0.193499[/C][/ROW]
[ROW][C]34[/C][C]-0.049817[/C][C]-0.5177[/C][C]0.302859[/C][/ROW]
[ROW][C]35[/C][C]0.004465[/C][C]0.0464[/C][C]0.481539[/C][/ROW]
[ROW][C]36[/C][C]-0.094242[/C][C]-0.9794[/C][C]0.164788[/C][/ROW]
[ROW][C]37[/C][C]0.138058[/C][C]1.4347[/C][C]0.077125[/C][/ROW]
[ROW][C]38[/C][C]-0.114847[/C][C]-1.1935[/C][C]0.11764[/C][/ROW]
[ROW][C]39[/C][C]-0.024991[/C][C]-0.2597[/C][C]0.39779[/C][/ROW]
[ROW][C]40[/C][C]0.065538[/C][C]0.6811[/C][C]0.248637[/C][/ROW]
[ROW][C]41[/C][C]0.013557[/C][C]0.1409[/C][C]0.444112[/C][/ROW]
[ROW][C]42[/C][C]-0.041328[/C][C]-0.4295[/C][C]0.334211[/C][/ROW]
[ROW][C]43[/C][C]0.055629[/C][C]0.5781[/C][C]0.282197[/C][/ROW]
[ROW][C]44[/C][C]-0.020026[/C][C]-0.2081[/C][C]0.417765[/C][/ROW]
[ROW][C]45[/C][C]-0.039133[/C][C]-0.4067[/C][C]0.342524[/C][/ROW]
[ROW][C]46[/C][C]0.121556[/C][C]1.2633[/C][C]0.10461[/C][/ROW]
[ROW][C]47[/C][C]-0.027017[/C][C]-0.2808[/C][C]0.389711[/C][/ROW]
[ROW][C]48[/C][C]-0.190156[/C][C]-1.9762[/C][C]0.025343[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107555&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107555&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.336919-3.50140.000337
2-0.021308-0.22140.412582
30.2196732.28290.012197
4-0.055926-0.58120.281158
50.0684360.71120.239246
60.1299511.35050.089841
7-0.118369-1.23010.110661
80.0426550.44330.329223
90.138181.4360.076945
10-0.016509-0.17160.43205
110.0835920.86870.193464
12-0.213401-2.21770.014334
130.1190861.23760.109278
140.2175122.26050.012899
15-0.120758-1.2550.106102
16-0.08323-0.86490.194492
170.1205861.25320.106426
18-0.04952-0.51460.303932
19-0.063965-0.66470.253815
200.0872550.90680.183272
21-0.082208-0.85430.197405
22-0.153687-1.59720.056576
230.2420712.51570.006676
24-0.117789-1.22410.111789
25-0.147477-1.53260.064146
260.1403651.45870.073773
27-0.064521-0.67050.251977
28-1.9e-05-2e-040.499923
290.0329570.34250.36632
30-0.082775-0.86020.195786
31-0.001277-0.01330.494719
320.0630260.6550.256934
33-0.08358-0.86860.193499
34-0.049817-0.51770.302859
350.0044650.04640.481539
36-0.094242-0.97940.164788
370.1380581.43470.077125
38-0.114847-1.19350.11764
39-0.024991-0.25970.39779
400.0655380.68110.248637
410.0135570.14090.444112
42-0.041328-0.42950.334211
430.0556290.57810.282197
44-0.020026-0.20810.417765
45-0.039133-0.40670.342524
460.1215561.26330.10461
47-0.027017-0.28080.389711
48-0.190156-1.97620.025343






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.336919-3.50140.000337
2-0.152087-1.58050.058454
30.1849481.9220.028618
40.1001541.04080.150139
50.1226981.27510.102502
60.1779361.84920.033585
7-0.022325-0.2320.408485
8-0.049764-0.51720.303048
90.078320.81390.208741
100.0954380.99180.16175
110.1334131.38650.08423
12-0.245835-2.55480.006009
13-0.081206-0.84390.200291
140.2244462.33250.010764
150.1361381.41480.080003
16-0.141195-1.46730.072595
17-0.073178-0.76050.224308
180.0139270.14470.442594
19-0.154714-1.60780.055395
20-0.086164-0.89540.18627
210.0886180.92090.179565
22-0.143346-1.48970.069609
230.0344670.35820.360451
24-0.058938-0.61250.270747
25-0.083085-0.86340.194903
260.143651.49290.069195
270.042570.44240.329543
28-0.060725-0.63110.264663
290.0070520.07330.470859
300.0606060.62980.265066
31-0.057117-0.59360.277018
320.0203480.21150.416463
330.0771460.80170.212236
34-0.203159-2.11130.018527
35-0.039344-0.40890.341722
36-0.039254-0.40790.342061
370.0217560.22610.410777
380.027660.28740.387159
390.0789020.820.20702
40-0.046735-0.48570.314086
410.0419330.43580.331933
420.0887680.92250.179162
43-0.008184-0.08510.466189
440.0392630.4080.342028
450.0570980.59340.277083
46-0.102629-1.06660.144276
470.0626620.65120.258151
48-0.142765-1.48370.070407

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.336919 & -3.5014 & 0.000337 \tabularnewline
2 & -0.152087 & -1.5805 & 0.058454 \tabularnewline
3 & 0.184948 & 1.922 & 0.028618 \tabularnewline
4 & 0.100154 & 1.0408 & 0.150139 \tabularnewline
5 & 0.122698 & 1.2751 & 0.102502 \tabularnewline
6 & 0.177936 & 1.8492 & 0.033585 \tabularnewline
7 & -0.022325 & -0.232 & 0.408485 \tabularnewline
8 & -0.049764 & -0.5172 & 0.303048 \tabularnewline
9 & 0.07832 & 0.8139 & 0.208741 \tabularnewline
10 & 0.095438 & 0.9918 & 0.16175 \tabularnewline
11 & 0.133413 & 1.3865 & 0.08423 \tabularnewline
12 & -0.245835 & -2.5548 & 0.006009 \tabularnewline
13 & -0.081206 & -0.8439 & 0.200291 \tabularnewline
14 & 0.224446 & 2.3325 & 0.010764 \tabularnewline
15 & 0.136138 & 1.4148 & 0.080003 \tabularnewline
16 & -0.141195 & -1.4673 & 0.072595 \tabularnewline
17 & -0.073178 & -0.7605 & 0.224308 \tabularnewline
18 & 0.013927 & 0.1447 & 0.442594 \tabularnewline
19 & -0.154714 & -1.6078 & 0.055395 \tabularnewline
20 & -0.086164 & -0.8954 & 0.18627 \tabularnewline
21 & 0.088618 & 0.9209 & 0.179565 \tabularnewline
22 & -0.143346 & -1.4897 & 0.069609 \tabularnewline
23 & 0.034467 & 0.3582 & 0.360451 \tabularnewline
24 & -0.058938 & -0.6125 & 0.270747 \tabularnewline
25 & -0.083085 & -0.8634 & 0.194903 \tabularnewline
26 & 0.14365 & 1.4929 & 0.069195 \tabularnewline
27 & 0.04257 & 0.4424 & 0.329543 \tabularnewline
28 & -0.060725 & -0.6311 & 0.264663 \tabularnewline
29 & 0.007052 & 0.0733 & 0.470859 \tabularnewline
30 & 0.060606 & 0.6298 & 0.265066 \tabularnewline
31 & -0.057117 & -0.5936 & 0.277018 \tabularnewline
32 & 0.020348 & 0.2115 & 0.416463 \tabularnewline
33 & 0.077146 & 0.8017 & 0.212236 \tabularnewline
34 & -0.203159 & -2.1113 & 0.018527 \tabularnewline
35 & -0.039344 & -0.4089 & 0.341722 \tabularnewline
36 & -0.039254 & -0.4079 & 0.342061 \tabularnewline
37 & 0.021756 & 0.2261 & 0.410777 \tabularnewline
38 & 0.02766 & 0.2874 & 0.387159 \tabularnewline
39 & 0.078902 & 0.82 & 0.20702 \tabularnewline
40 & -0.046735 & -0.4857 & 0.314086 \tabularnewline
41 & 0.041933 & 0.4358 & 0.331933 \tabularnewline
42 & 0.088768 & 0.9225 & 0.179162 \tabularnewline
43 & -0.008184 & -0.0851 & 0.466189 \tabularnewline
44 & 0.039263 & 0.408 & 0.342028 \tabularnewline
45 & 0.057098 & 0.5934 & 0.277083 \tabularnewline
46 & -0.102629 & -1.0666 & 0.144276 \tabularnewline
47 & 0.062662 & 0.6512 & 0.258151 \tabularnewline
48 & -0.142765 & -1.4837 & 0.070407 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107555&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]-0.336919[/C][C]-3.5014[/C][C]0.000337[/C][/ROW]
[ROW][C]2[/C][C]-0.152087[/C][C]-1.5805[/C][C]0.058454[/C][/ROW]
[ROW][C]3[/C][C]0.184948[/C][C]1.922[/C][C]0.028618[/C][/ROW]
[ROW][C]4[/C][C]0.100154[/C][C]1.0408[/C][C]0.150139[/C][/ROW]
[ROW][C]5[/C][C]0.122698[/C][C]1.2751[/C][C]0.102502[/C][/ROW]
[ROW][C]6[/C][C]0.177936[/C][C]1.8492[/C][C]0.033585[/C][/ROW]
[ROW][C]7[/C][C]-0.022325[/C][C]-0.232[/C][C]0.408485[/C][/ROW]
[ROW][C]8[/C][C]-0.049764[/C][C]-0.5172[/C][C]0.303048[/C][/ROW]
[ROW][C]9[/C][C]0.07832[/C][C]0.8139[/C][C]0.208741[/C][/ROW]
[ROW][C]10[/C][C]0.095438[/C][C]0.9918[/C][C]0.16175[/C][/ROW]
[ROW][C]11[/C][C]0.133413[/C][C]1.3865[/C][C]0.08423[/C][/ROW]
[ROW][C]12[/C][C]-0.245835[/C][C]-2.5548[/C][C]0.006009[/C][/ROW]
[ROW][C]13[/C][C]-0.081206[/C][C]-0.8439[/C][C]0.200291[/C][/ROW]
[ROW][C]14[/C][C]0.224446[/C][C]2.3325[/C][C]0.010764[/C][/ROW]
[ROW][C]15[/C][C]0.136138[/C][C]1.4148[/C][C]0.080003[/C][/ROW]
[ROW][C]16[/C][C]-0.141195[/C][C]-1.4673[/C][C]0.072595[/C][/ROW]
[ROW][C]17[/C][C]-0.073178[/C][C]-0.7605[/C][C]0.224308[/C][/ROW]
[ROW][C]18[/C][C]0.013927[/C][C]0.1447[/C][C]0.442594[/C][/ROW]
[ROW][C]19[/C][C]-0.154714[/C][C]-1.6078[/C][C]0.055395[/C][/ROW]
[ROW][C]20[/C][C]-0.086164[/C][C]-0.8954[/C][C]0.18627[/C][/ROW]
[ROW][C]21[/C][C]0.088618[/C][C]0.9209[/C][C]0.179565[/C][/ROW]
[ROW][C]22[/C][C]-0.143346[/C][C]-1.4897[/C][C]0.069609[/C][/ROW]
[ROW][C]23[/C][C]0.034467[/C][C]0.3582[/C][C]0.360451[/C][/ROW]
[ROW][C]24[/C][C]-0.058938[/C][C]-0.6125[/C][C]0.270747[/C][/ROW]
[ROW][C]25[/C][C]-0.083085[/C][C]-0.8634[/C][C]0.194903[/C][/ROW]
[ROW][C]26[/C][C]0.14365[/C][C]1.4929[/C][C]0.069195[/C][/ROW]
[ROW][C]27[/C][C]0.04257[/C][C]0.4424[/C][C]0.329543[/C][/ROW]
[ROW][C]28[/C][C]-0.060725[/C][C]-0.6311[/C][C]0.264663[/C][/ROW]
[ROW][C]29[/C][C]0.007052[/C][C]0.0733[/C][C]0.470859[/C][/ROW]
[ROW][C]30[/C][C]0.060606[/C][C]0.6298[/C][C]0.265066[/C][/ROW]
[ROW][C]31[/C][C]-0.057117[/C][C]-0.5936[/C][C]0.277018[/C][/ROW]
[ROW][C]32[/C][C]0.020348[/C][C]0.2115[/C][C]0.416463[/C][/ROW]
[ROW][C]33[/C][C]0.077146[/C][C]0.8017[/C][C]0.212236[/C][/ROW]
[ROW][C]34[/C][C]-0.203159[/C][C]-2.1113[/C][C]0.018527[/C][/ROW]
[ROW][C]35[/C][C]-0.039344[/C][C]-0.4089[/C][C]0.341722[/C][/ROW]
[ROW][C]36[/C][C]-0.039254[/C][C]-0.4079[/C][C]0.342061[/C][/ROW]
[ROW][C]37[/C][C]0.021756[/C][C]0.2261[/C][C]0.410777[/C][/ROW]
[ROW][C]38[/C][C]0.02766[/C][C]0.2874[/C][C]0.387159[/C][/ROW]
[ROW][C]39[/C][C]0.078902[/C][C]0.82[/C][C]0.20702[/C][/ROW]
[ROW][C]40[/C][C]-0.046735[/C][C]-0.4857[/C][C]0.314086[/C][/ROW]
[ROW][C]41[/C][C]0.041933[/C][C]0.4358[/C][C]0.331933[/C][/ROW]
[ROW][C]42[/C][C]0.088768[/C][C]0.9225[/C][C]0.179162[/C][/ROW]
[ROW][C]43[/C][C]-0.008184[/C][C]-0.0851[/C][C]0.466189[/C][/ROW]
[ROW][C]44[/C][C]0.039263[/C][C]0.408[/C][C]0.342028[/C][/ROW]
[ROW][C]45[/C][C]0.057098[/C][C]0.5934[/C][C]0.277083[/C][/ROW]
[ROW][C]46[/C][C]-0.102629[/C][C]-1.0666[/C][C]0.144276[/C][/ROW]
[ROW][C]47[/C][C]0.062662[/C][C]0.6512[/C][C]0.258151[/C][/ROW]
[ROW][C]48[/C][C]-0.142765[/C][C]-1.4837[/C][C]0.070407[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107555&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107555&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.336919-3.50140.000337
2-0.152087-1.58050.058454
30.1849481.9220.028618
40.1001541.04080.150139
50.1226981.27510.102502
60.1779361.84920.033585
7-0.022325-0.2320.408485
8-0.049764-0.51720.303048
90.078320.81390.208741
100.0954380.99180.16175
110.1334131.38650.08423
12-0.245835-2.55480.006009
13-0.081206-0.84390.200291
140.2244462.33250.010764
150.1361381.41480.080003
16-0.141195-1.46730.072595
17-0.073178-0.76050.224308
180.0139270.14470.442594
19-0.154714-1.60780.055395
20-0.086164-0.89540.18627
210.0886180.92090.179565
22-0.143346-1.48970.069609
230.0344670.35820.360451
24-0.058938-0.61250.270747
25-0.083085-0.86340.194903
260.143651.49290.069195
270.042570.44240.329543
28-0.060725-0.63110.264663
290.0070520.07330.470859
300.0606060.62980.265066
31-0.057117-0.59360.277018
320.0203480.21150.416463
330.0771460.80170.212236
34-0.203159-2.11130.018527
35-0.039344-0.40890.341722
36-0.039254-0.40790.342061
370.0217560.22610.410777
380.027660.28740.387159
390.0789020.820.20702
40-0.046735-0.48570.314086
410.0419330.43580.331933
420.0887680.92250.179162
43-0.008184-0.08510.466189
440.0392630.4080.342028
450.0570980.59340.277083
46-0.102629-1.06660.144276
470.0626620.65120.258151
48-0.142765-1.48370.070407


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 1 ; 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')