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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationThu, 29 Dec 2016 10:59:05 +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/2016/Dec/29/t1483009193aou980nw0il6143.htm/, Retrieved Fri, 17 May 2024 16:38:14 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 17 May 2024 16:38:14 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
100,55
100,41
100,54
100,66
100,86
100,88
100,88
101,37
101,84
102,25
102,58
102,59
102,59
101,95
101,94
102,18
102,47
102,5
102,5
102,87
103,08
103,47
103,65
103,68
99,76
99,13
99,19
99,37
99,61
99,65
99,66
99,98
100,38
100,92
101,16
101,19
101,52
101,14
101,38
101,46
101,52
101,53
100,79
101,2
101,28
101,59
101,75
101,76
103,03
102,97
103,11
103,17
103,17
103,2
102,17
102,22
102,18
102,44
102,61
102,63

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.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 & 2 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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' @ fisher.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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 time2 seconds
R Server'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.8546716.62030
20.6687175.17991e-06
30.4829873.74120.000206
40.3284182.54390.006778
50.2025731.56910.060939
60.0792140.61360.270903
7-0.022714-0.17590.430467
8-0.110171-0.85340.198422
9-0.153392-1.18820.119724
10-0.149894-1.16110.125105
11-0.138194-1.07040.144353
12-0.153133-1.18620.120116
13-0.18126-1.4040.082732
14-0.24581-1.9040.030852
15-0.292639-2.26680.013511
16-0.316241-2.44960.008619
17-0.313058-2.42490.009169
18-0.302931-2.34650.011136
19-0.329787-2.55450.006595
20-0.336409-2.60580.005771
21-0.322827-2.50060.007574
22-0.275381-2.13310.018508
23-0.209012-1.6190.055346
24-0.143592-1.11230.135232
25-0.085155-0.65960.256014
26-0.045931-0.35580.361626
27-0.0028-0.02170.491384
280.0454860.35230.362911
290.0949230.73530.232521
300.1246620.96560.169053
310.105940.82060.207559
320.0897420.69510.244826
330.083070.64350.26119
340.1036470.80280.212617
350.1394751.08040.142151
360.1832111.41910.080516
370.1760881.3640.088836
380.1615951.25170.107767
390.1485411.15060.127233
400.1363081.05580.147639
410.120130.93050.177915
420.088990.68930.246641
430.0463050.35870.360548
440.0064010.04960.480311
45-0.026284-0.20360.41968
46-0.047581-0.36860.356877
47-0.063503-0.49190.312294
48-0.08013-0.62070.26858

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.854671 & 6.6203 & 0 \tabularnewline
2 & 0.668717 & 5.1799 & 1e-06 \tabularnewline
3 & 0.482987 & 3.7412 & 0.000206 \tabularnewline
4 & 0.328418 & 2.5439 & 0.006778 \tabularnewline
5 & 0.202573 & 1.5691 & 0.060939 \tabularnewline
6 & 0.079214 & 0.6136 & 0.270903 \tabularnewline
7 & -0.022714 & -0.1759 & 0.430467 \tabularnewline
8 & -0.110171 & -0.8534 & 0.198422 \tabularnewline
9 & -0.153392 & -1.1882 & 0.119724 \tabularnewline
10 & -0.149894 & -1.1611 & 0.125105 \tabularnewline
11 & -0.138194 & -1.0704 & 0.144353 \tabularnewline
12 & -0.153133 & -1.1862 & 0.120116 \tabularnewline
13 & -0.18126 & -1.404 & 0.082732 \tabularnewline
14 & -0.24581 & -1.904 & 0.030852 \tabularnewline
15 & -0.292639 & -2.2668 & 0.013511 \tabularnewline
16 & -0.316241 & -2.4496 & 0.008619 \tabularnewline
17 & -0.313058 & -2.4249 & 0.009169 \tabularnewline
18 & -0.302931 & -2.3465 & 0.011136 \tabularnewline
19 & -0.329787 & -2.5545 & 0.006595 \tabularnewline
20 & -0.336409 & -2.6058 & 0.005771 \tabularnewline
21 & -0.322827 & -2.5006 & 0.007574 \tabularnewline
22 & -0.275381 & -2.1331 & 0.018508 \tabularnewline
23 & -0.209012 & -1.619 & 0.055346 \tabularnewline
24 & -0.143592 & -1.1123 & 0.135232 \tabularnewline
25 & -0.085155 & -0.6596 & 0.256014 \tabularnewline
26 & -0.045931 & -0.3558 & 0.361626 \tabularnewline
27 & -0.0028 & -0.0217 & 0.491384 \tabularnewline
28 & 0.045486 & 0.3523 & 0.362911 \tabularnewline
29 & 0.094923 & 0.7353 & 0.232521 \tabularnewline
30 & 0.124662 & 0.9656 & 0.169053 \tabularnewline
31 & 0.10594 & 0.8206 & 0.207559 \tabularnewline
32 & 0.089742 & 0.6951 & 0.244826 \tabularnewline
33 & 0.08307 & 0.6435 & 0.26119 \tabularnewline
34 & 0.103647 & 0.8028 & 0.212617 \tabularnewline
35 & 0.139475 & 1.0804 & 0.142151 \tabularnewline
36 & 0.183211 & 1.4191 & 0.080516 \tabularnewline
37 & 0.176088 & 1.364 & 0.088836 \tabularnewline
38 & 0.161595 & 1.2517 & 0.107767 \tabularnewline
39 & 0.148541 & 1.1506 & 0.127233 \tabularnewline
40 & 0.136308 & 1.0558 & 0.147639 \tabularnewline
41 & 0.12013 & 0.9305 & 0.177915 \tabularnewline
42 & 0.08899 & 0.6893 & 0.246641 \tabularnewline
43 & 0.046305 & 0.3587 & 0.360548 \tabularnewline
44 & 0.006401 & 0.0496 & 0.480311 \tabularnewline
45 & -0.026284 & -0.2036 & 0.41968 \tabularnewline
46 & -0.047581 & -0.3686 & 0.356877 \tabularnewline
47 & -0.063503 & -0.4919 & 0.312294 \tabularnewline
48 & -0.08013 & -0.6207 & 0.26858 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.854671[/C][C]6.6203[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.668717[/C][C]5.1799[/C][C]1e-06[/C][/ROW]
[ROW][C]3[/C][C]0.482987[/C][C]3.7412[/C][C]0.000206[/C][/ROW]
[ROW][C]4[/C][C]0.328418[/C][C]2.5439[/C][C]0.006778[/C][/ROW]
[ROW][C]5[/C][C]0.202573[/C][C]1.5691[/C][C]0.060939[/C][/ROW]
[ROW][C]6[/C][C]0.079214[/C][C]0.6136[/C][C]0.270903[/C][/ROW]
[ROW][C]7[/C][C]-0.022714[/C][C]-0.1759[/C][C]0.430467[/C][/ROW]
[ROW][C]8[/C][C]-0.110171[/C][C]-0.8534[/C][C]0.198422[/C][/ROW]
[ROW][C]9[/C][C]-0.153392[/C][C]-1.1882[/C][C]0.119724[/C][/ROW]
[ROW][C]10[/C][C]-0.149894[/C][C]-1.1611[/C][C]0.125105[/C][/ROW]
[ROW][C]11[/C][C]-0.138194[/C][C]-1.0704[/C][C]0.144353[/C][/ROW]
[ROW][C]12[/C][C]-0.153133[/C][C]-1.1862[/C][C]0.120116[/C][/ROW]
[ROW][C]13[/C][C]-0.18126[/C][C]-1.404[/C][C]0.082732[/C][/ROW]
[ROW][C]14[/C][C]-0.24581[/C][C]-1.904[/C][C]0.030852[/C][/ROW]
[ROW][C]15[/C][C]-0.292639[/C][C]-2.2668[/C][C]0.013511[/C][/ROW]
[ROW][C]16[/C][C]-0.316241[/C][C]-2.4496[/C][C]0.008619[/C][/ROW]
[ROW][C]17[/C][C]-0.313058[/C][C]-2.4249[/C][C]0.009169[/C][/ROW]
[ROW][C]18[/C][C]-0.302931[/C][C]-2.3465[/C][C]0.011136[/C][/ROW]
[ROW][C]19[/C][C]-0.329787[/C][C]-2.5545[/C][C]0.006595[/C][/ROW]
[ROW][C]20[/C][C]-0.336409[/C][C]-2.6058[/C][C]0.005771[/C][/ROW]
[ROW][C]21[/C][C]-0.322827[/C][C]-2.5006[/C][C]0.007574[/C][/ROW]
[ROW][C]22[/C][C]-0.275381[/C][C]-2.1331[/C][C]0.018508[/C][/ROW]
[ROW][C]23[/C][C]-0.209012[/C][C]-1.619[/C][C]0.055346[/C][/ROW]
[ROW][C]24[/C][C]-0.143592[/C][C]-1.1123[/C][C]0.135232[/C][/ROW]
[ROW][C]25[/C][C]-0.085155[/C][C]-0.6596[/C][C]0.256014[/C][/ROW]
[ROW][C]26[/C][C]-0.045931[/C][C]-0.3558[/C][C]0.361626[/C][/ROW]
[ROW][C]27[/C][C]-0.0028[/C][C]-0.0217[/C][C]0.491384[/C][/ROW]
[ROW][C]28[/C][C]0.045486[/C][C]0.3523[/C][C]0.362911[/C][/ROW]
[ROW][C]29[/C][C]0.094923[/C][C]0.7353[/C][C]0.232521[/C][/ROW]
[ROW][C]30[/C][C]0.124662[/C][C]0.9656[/C][C]0.169053[/C][/ROW]
[ROW][C]31[/C][C]0.10594[/C][C]0.8206[/C][C]0.207559[/C][/ROW]
[ROW][C]32[/C][C]0.089742[/C][C]0.6951[/C][C]0.244826[/C][/ROW]
[ROW][C]33[/C][C]0.08307[/C][C]0.6435[/C][C]0.26119[/C][/ROW]
[ROW][C]34[/C][C]0.103647[/C][C]0.8028[/C][C]0.212617[/C][/ROW]
[ROW][C]35[/C][C]0.139475[/C][C]1.0804[/C][C]0.142151[/C][/ROW]
[ROW][C]36[/C][C]0.183211[/C][C]1.4191[/C][C]0.080516[/C][/ROW]
[ROW][C]37[/C][C]0.176088[/C][C]1.364[/C][C]0.088836[/C][/ROW]
[ROW][C]38[/C][C]0.161595[/C][C]1.2517[/C][C]0.107767[/C][/ROW]
[ROW][C]39[/C][C]0.148541[/C][C]1.1506[/C][C]0.127233[/C][/ROW]
[ROW][C]40[/C][C]0.136308[/C][C]1.0558[/C][C]0.147639[/C][/ROW]
[ROW][C]41[/C][C]0.12013[/C][C]0.9305[/C][C]0.177915[/C][/ROW]
[ROW][C]42[/C][C]0.08899[/C][C]0.6893[/C][C]0.246641[/C][/ROW]
[ROW][C]43[/C][C]0.046305[/C][C]0.3587[/C][C]0.360548[/C][/ROW]
[ROW][C]44[/C][C]0.006401[/C][C]0.0496[/C][C]0.480311[/C][/ROW]
[ROW][C]45[/C][C]-0.026284[/C][C]-0.2036[/C][C]0.41968[/C][/ROW]
[ROW][C]46[/C][C]-0.047581[/C][C]-0.3686[/C][C]0.356877[/C][/ROW]
[ROW][C]47[/C][C]-0.063503[/C][C]-0.4919[/C][C]0.312294[/C][/ROW]
[ROW][C]48[/C][C]-0.08013[/C][C]-0.6207[/C][C]0.26858[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
10.8546716.62030
20.6687175.17991e-06
30.4829873.74120.000206
40.3284182.54390.006778
50.2025731.56910.060939
60.0792140.61360.270903
7-0.022714-0.17590.430467
8-0.110171-0.85340.198422
9-0.153392-1.18820.119724
10-0.149894-1.16110.125105
11-0.138194-1.07040.144353
12-0.153133-1.18620.120116
13-0.18126-1.4040.082732
14-0.24581-1.9040.030852
15-0.292639-2.26680.013511
16-0.316241-2.44960.008619
17-0.313058-2.42490.009169
18-0.302931-2.34650.011136
19-0.329787-2.55450.006595
20-0.336409-2.60580.005771
21-0.322827-2.50060.007574
22-0.275381-2.13310.018508
23-0.209012-1.6190.055346
24-0.143592-1.11230.135232
25-0.085155-0.65960.256014
26-0.045931-0.35580.361626
27-0.0028-0.02170.491384
280.0454860.35230.362911
290.0949230.73530.232521
300.1246620.96560.169053
310.105940.82060.207559
320.0897420.69510.244826
330.083070.64350.26119
340.1036470.80280.212617
350.1394751.08040.142151
360.1832111.41910.080516
370.1760881.3640.088836
380.1615951.25170.107767
390.1485411.15060.127233
400.1363081.05580.147639
410.120130.93050.177915
420.088990.68930.246641
430.0463050.35870.360548
440.0064010.04960.480311
45-0.026284-0.20360.41968
46-0.047581-0.36860.356877
47-0.063503-0.49190.312294
48-0.08013-0.62070.26858






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.8546716.62030
2-0.22908-1.77440.040531
3-0.092738-0.71830.237666
4-0.005424-0.0420.483314
5-0.033255-0.25760.398802
6-0.123833-0.95920.170652
7-0.025288-0.19590.422684
8-0.063452-0.49150.312434
90.0520340.40310.34417
100.0668590.51790.303222
11-0.051669-0.40020.345206
12-0.13948-1.08040.142142
13-0.049208-0.38120.352213
14-0.198877-1.54050.064348
15-0.008532-0.06610.473763
16-0.016353-0.12670.449814
170.0040850.03160.487433
18-0.049263-0.38160.352056
19-0.18792-1.45560.075355
20-0.007871-0.0610.475794
21-0.037198-0.28810.387119
22-0.002228-0.01730.493145
23-0.00453-0.03510.486062
240.0038360.02970.488196
250.0020660.0160.493643
26-0.058437-0.45270.326216
270.0032680.02530.489944
28-0.026288-0.20360.419669
290.0188130.14570.442314
30-0.030457-0.23590.40715
31-0.157105-1.21690.114198
320.0822990.63750.263117
33-0.025833-0.20010.421039
340.044670.3460.365272
350.0121970.09450.462522
360.071030.55020.292114
37-0.160104-1.24020.109873
380.0269950.20910.417538
39-0.002564-0.01990.492109
40-0.052371-0.40570.343217
410.0033950.02630.489554
42-0.004778-0.0370.485299
43-0.04897-0.37930.352895
440.0830190.64310.261316
45-0.086577-0.67060.252517
46-0.033576-0.26010.397846
47-0.058353-0.4520.326449
480.0176230.13650.445939

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.854671 & 6.6203 & 0 \tabularnewline
2 & -0.22908 & -1.7744 & 0.040531 \tabularnewline
3 & -0.092738 & -0.7183 & 0.237666 \tabularnewline
4 & -0.005424 & -0.042 & 0.483314 \tabularnewline
5 & -0.033255 & -0.2576 & 0.398802 \tabularnewline
6 & -0.123833 & -0.9592 & 0.170652 \tabularnewline
7 & -0.025288 & -0.1959 & 0.422684 \tabularnewline
8 & -0.063452 & -0.4915 & 0.312434 \tabularnewline
9 & 0.052034 & 0.4031 & 0.34417 \tabularnewline
10 & 0.066859 & 0.5179 & 0.303222 \tabularnewline
11 & -0.051669 & -0.4002 & 0.345206 \tabularnewline
12 & -0.13948 & -1.0804 & 0.142142 \tabularnewline
13 & -0.049208 & -0.3812 & 0.352213 \tabularnewline
14 & -0.198877 & -1.5405 & 0.064348 \tabularnewline
15 & -0.008532 & -0.0661 & 0.473763 \tabularnewline
16 & -0.016353 & -0.1267 & 0.449814 \tabularnewline
17 & 0.004085 & 0.0316 & 0.487433 \tabularnewline
18 & -0.049263 & -0.3816 & 0.352056 \tabularnewline
19 & -0.18792 & -1.4556 & 0.075355 \tabularnewline
20 & -0.007871 & -0.061 & 0.475794 \tabularnewline
21 & -0.037198 & -0.2881 & 0.387119 \tabularnewline
22 & -0.002228 & -0.0173 & 0.493145 \tabularnewline
23 & -0.00453 & -0.0351 & 0.486062 \tabularnewline
24 & 0.003836 & 0.0297 & 0.488196 \tabularnewline
25 & 0.002066 & 0.016 & 0.493643 \tabularnewline
26 & -0.058437 & -0.4527 & 0.326216 \tabularnewline
27 & 0.003268 & 0.0253 & 0.489944 \tabularnewline
28 & -0.026288 & -0.2036 & 0.419669 \tabularnewline
29 & 0.018813 & 0.1457 & 0.442314 \tabularnewline
30 & -0.030457 & -0.2359 & 0.40715 \tabularnewline
31 & -0.157105 & -1.2169 & 0.114198 \tabularnewline
32 & 0.082299 & 0.6375 & 0.263117 \tabularnewline
33 & -0.025833 & -0.2001 & 0.421039 \tabularnewline
34 & 0.04467 & 0.346 & 0.365272 \tabularnewline
35 & 0.012197 & 0.0945 & 0.462522 \tabularnewline
36 & 0.07103 & 0.5502 & 0.292114 \tabularnewline
37 & -0.160104 & -1.2402 & 0.109873 \tabularnewline
38 & 0.026995 & 0.2091 & 0.417538 \tabularnewline
39 & -0.002564 & -0.0199 & 0.492109 \tabularnewline
40 & -0.052371 & -0.4057 & 0.343217 \tabularnewline
41 & 0.003395 & 0.0263 & 0.489554 \tabularnewline
42 & -0.004778 & -0.037 & 0.485299 \tabularnewline
43 & -0.04897 & -0.3793 & 0.352895 \tabularnewline
44 & 0.083019 & 0.6431 & 0.261316 \tabularnewline
45 & -0.086577 & -0.6706 & 0.252517 \tabularnewline
46 & -0.033576 & -0.2601 & 0.397846 \tabularnewline
47 & -0.058353 & -0.452 & 0.326449 \tabularnewline
48 & 0.017623 & 0.1365 & 0.445939 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&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]0.854671[/C][C]6.6203[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.22908[/C][C]-1.7744[/C][C]0.040531[/C][/ROW]
[ROW][C]3[/C][C]-0.092738[/C][C]-0.7183[/C][C]0.237666[/C][/ROW]
[ROW][C]4[/C][C]-0.005424[/C][C]-0.042[/C][C]0.483314[/C][/ROW]
[ROW][C]5[/C][C]-0.033255[/C][C]-0.2576[/C][C]0.398802[/C][/ROW]
[ROW][C]6[/C][C]-0.123833[/C][C]-0.9592[/C][C]0.170652[/C][/ROW]
[ROW][C]7[/C][C]-0.025288[/C][C]-0.1959[/C][C]0.422684[/C][/ROW]
[ROW][C]8[/C][C]-0.063452[/C][C]-0.4915[/C][C]0.312434[/C][/ROW]
[ROW][C]9[/C][C]0.052034[/C][C]0.4031[/C][C]0.34417[/C][/ROW]
[ROW][C]10[/C][C]0.066859[/C][C]0.5179[/C][C]0.303222[/C][/ROW]
[ROW][C]11[/C][C]-0.051669[/C][C]-0.4002[/C][C]0.345206[/C][/ROW]
[ROW][C]12[/C][C]-0.13948[/C][C]-1.0804[/C][C]0.142142[/C][/ROW]
[ROW][C]13[/C][C]-0.049208[/C][C]-0.3812[/C][C]0.352213[/C][/ROW]
[ROW][C]14[/C][C]-0.198877[/C][C]-1.5405[/C][C]0.064348[/C][/ROW]
[ROW][C]15[/C][C]-0.008532[/C][C]-0.0661[/C][C]0.473763[/C][/ROW]
[ROW][C]16[/C][C]-0.016353[/C][C]-0.1267[/C][C]0.449814[/C][/ROW]
[ROW][C]17[/C][C]0.004085[/C][C]0.0316[/C][C]0.487433[/C][/ROW]
[ROW][C]18[/C][C]-0.049263[/C][C]-0.3816[/C][C]0.352056[/C][/ROW]
[ROW][C]19[/C][C]-0.18792[/C][C]-1.4556[/C][C]0.075355[/C][/ROW]
[ROW][C]20[/C][C]-0.007871[/C][C]-0.061[/C][C]0.475794[/C][/ROW]
[ROW][C]21[/C][C]-0.037198[/C][C]-0.2881[/C][C]0.387119[/C][/ROW]
[ROW][C]22[/C][C]-0.002228[/C][C]-0.0173[/C][C]0.493145[/C][/ROW]
[ROW][C]23[/C][C]-0.00453[/C][C]-0.0351[/C][C]0.486062[/C][/ROW]
[ROW][C]24[/C][C]0.003836[/C][C]0.0297[/C][C]0.488196[/C][/ROW]
[ROW][C]25[/C][C]0.002066[/C][C]0.016[/C][C]0.493643[/C][/ROW]
[ROW][C]26[/C][C]-0.058437[/C][C]-0.4527[/C][C]0.326216[/C][/ROW]
[ROW][C]27[/C][C]0.003268[/C][C]0.0253[/C][C]0.489944[/C][/ROW]
[ROW][C]28[/C][C]-0.026288[/C][C]-0.2036[/C][C]0.419669[/C][/ROW]
[ROW][C]29[/C][C]0.018813[/C][C]0.1457[/C][C]0.442314[/C][/ROW]
[ROW][C]30[/C][C]-0.030457[/C][C]-0.2359[/C][C]0.40715[/C][/ROW]
[ROW][C]31[/C][C]-0.157105[/C][C]-1.2169[/C][C]0.114198[/C][/ROW]
[ROW][C]32[/C][C]0.082299[/C][C]0.6375[/C][C]0.263117[/C][/ROW]
[ROW][C]33[/C][C]-0.025833[/C][C]-0.2001[/C][C]0.421039[/C][/ROW]
[ROW][C]34[/C][C]0.04467[/C][C]0.346[/C][C]0.365272[/C][/ROW]
[ROW][C]35[/C][C]0.012197[/C][C]0.0945[/C][C]0.462522[/C][/ROW]
[ROW][C]36[/C][C]0.07103[/C][C]0.5502[/C][C]0.292114[/C][/ROW]
[ROW][C]37[/C][C]-0.160104[/C][C]-1.2402[/C][C]0.109873[/C][/ROW]
[ROW][C]38[/C][C]0.026995[/C][C]0.2091[/C][C]0.417538[/C][/ROW]
[ROW][C]39[/C][C]-0.002564[/C][C]-0.0199[/C][C]0.492109[/C][/ROW]
[ROW][C]40[/C][C]-0.052371[/C][C]-0.4057[/C][C]0.343217[/C][/ROW]
[ROW][C]41[/C][C]0.003395[/C][C]0.0263[/C][C]0.489554[/C][/ROW]
[ROW][C]42[/C][C]-0.004778[/C][C]-0.037[/C][C]0.485299[/C][/ROW]
[ROW][C]43[/C][C]-0.04897[/C][C]-0.3793[/C][C]0.352895[/C][/ROW]
[ROW][C]44[/C][C]0.083019[/C][C]0.6431[/C][C]0.261316[/C][/ROW]
[ROW][C]45[/C][C]-0.086577[/C][C]-0.6706[/C][C]0.252517[/C][/ROW]
[ROW][C]46[/C][C]-0.033576[/C][C]-0.2601[/C][C]0.397846[/C][/ROW]
[ROW][C]47[/C][C]-0.058353[/C][C]-0.452[/C][C]0.326449[/C][/ROW]
[ROW][C]48[/C][C]0.017623[/C][C]0.1365[/C][C]0.445939[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&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
10.8546716.62030
2-0.22908-1.77440.040531
3-0.092738-0.71830.237666
4-0.005424-0.0420.483314
5-0.033255-0.25760.398802
6-0.123833-0.95920.170652
7-0.025288-0.19590.422684
8-0.063452-0.49150.312434
90.0520340.40310.34417
100.0668590.51790.303222
11-0.051669-0.40020.345206
12-0.13948-1.08040.142142
13-0.049208-0.38120.352213
14-0.198877-1.54050.064348
15-0.008532-0.06610.473763
16-0.016353-0.12670.449814
170.0040850.03160.487433
18-0.049263-0.38160.352056
19-0.18792-1.45560.075355
20-0.007871-0.0610.475794
21-0.037198-0.28810.387119
22-0.002228-0.01730.493145
23-0.00453-0.03510.486062
240.0038360.02970.488196
250.0020660.0160.493643
26-0.058437-0.45270.326216
270.0032680.02530.489944
28-0.026288-0.20360.419669
290.0188130.14570.442314
30-0.030457-0.23590.40715
31-0.157105-1.21690.114198
320.0822990.63750.263117
33-0.025833-0.20010.421039
340.044670.3460.365272
350.0121970.09450.462522
360.071030.55020.292114
37-0.160104-1.24020.109873
380.0269950.20910.417538
39-0.002564-0.01990.492109
40-0.052371-0.40570.343217
410.0033950.02630.489554
42-0.004778-0.0370.485299
43-0.04897-0.37930.352895
440.0830190.64310.261316
45-0.086577-0.67060.252517
46-0.033576-0.26010.397846
47-0.058353-0.4520.326449
480.0176230.13650.445939


Figures (Output of Computation)

Input Parameters & R Code

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