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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 computationWed, 19 Oct 2016 11:46:48 +0100
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/Oct/19/t1476874062kzgqeavdg7xcnxz.htm/, Retrieved Tue, 30 Apr 2024 03:52:08 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Tue, 30 Apr 2024 03:52:08 +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 
95.77
97.63
100.87
100.39
98.62
97.42
95.62
97.22
97.56
97.06
97.68
98.18
98.54
98.24
98.1
96.32
96.15
96.67
94.7
93.94
96.69
96.54
95.94
95.6
99.15
100.33
99.86
96.09
94.42
93.85
93.73
94.63
95.54
95.48
95.84
96.29
97.63
98.8
99.84
100.73
100.44
100.54
100.25
100.29
100.7
100.62
100.43
99.73
99.17
98.9
98.94
98.91
99.5
99.52
99.1
99.12
99
98.66
98.3
98.18
97.95
97.84
98.61
99.54
99.64
99.69
99.77
99.85
99.87
100.23
100.46
100.36

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.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]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.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 time1 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.2832632.38680.009831
2-0.191855-1.61660.0552
3-0.230754-1.94440.027907
4-0.082654-0.69650.24421
5-0.054247-0.45710.324499
6-0.054179-0.45650.324705
7-0.113019-0.95230.172084
8-0.058181-0.49020.312737
9-0.018003-0.15170.439927
10-0.021202-0.17860.429362
11-0.050893-0.42880.334672
120.16081.35490.089869
130.1139760.96040.170062
140.0354340.29860.38307
15-0.005713-0.04810.48087
16-0.177548-1.4960.069537
17-0.074603-0.62860.265808
180.0368440.31050.378562
19-0.015003-0.12640.44988
20-0.171012-1.4410.076994
21-0.036536-0.30790.379546
220.1507921.27060.10401
230.1560721.31510.096357
240.0799220.67340.251429
25-0.141063-1.18860.119275
26-0.145805-1.22860.111645
27-0.04051-0.34130.366928
28-0.004748-0.040.4841
290.0504510.42510.336022
300.0534630.45050.326865
310.0355950.29990.382552
320.0093220.07860.468806
33-0.038434-0.32380.373502
34-0.018705-0.15760.437605
35-0.0084-0.07080.471886
360.0174080.14670.4419
370.0346710.29210.385514
380.0456860.3850.350709
390.0385560.32490.373114
40-0.03362-0.28330.38889
41-0.004592-0.03870.484623
420.064650.54480.293815
430.0589030.49630.3106
44-0.00168-0.01420.494374
45-0.003631-0.03060.487839
46-0.043048-0.36270.358942
47-0.069257-0.58360.280681
48-0.034432-0.29010.386283

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.283263 & 2.3868 & 0.009831 \tabularnewline
2 & -0.191855 & -1.6166 & 0.0552 \tabularnewline
3 & -0.230754 & -1.9444 & 0.027907 \tabularnewline
4 & -0.082654 & -0.6965 & 0.24421 \tabularnewline
5 & -0.054247 & -0.4571 & 0.324499 \tabularnewline
6 & -0.054179 & -0.4565 & 0.324705 \tabularnewline
7 & -0.113019 & -0.9523 & 0.172084 \tabularnewline
8 & -0.058181 & -0.4902 & 0.312737 \tabularnewline
9 & -0.018003 & -0.1517 & 0.439927 \tabularnewline
10 & -0.021202 & -0.1786 & 0.429362 \tabularnewline
11 & -0.050893 & -0.4288 & 0.334672 \tabularnewline
12 & 0.1608 & 1.3549 & 0.089869 \tabularnewline
13 & 0.113976 & 0.9604 & 0.170062 \tabularnewline
14 & 0.035434 & 0.2986 & 0.38307 \tabularnewline
15 & -0.005713 & -0.0481 & 0.48087 \tabularnewline
16 & -0.177548 & -1.496 & 0.069537 \tabularnewline
17 & -0.074603 & -0.6286 & 0.265808 \tabularnewline
18 & 0.036844 & 0.3105 & 0.378562 \tabularnewline
19 & -0.015003 & -0.1264 & 0.44988 \tabularnewline
20 & -0.171012 & -1.441 & 0.076994 \tabularnewline
21 & -0.036536 & -0.3079 & 0.379546 \tabularnewline
22 & 0.150792 & 1.2706 & 0.10401 \tabularnewline
23 & 0.156072 & 1.3151 & 0.096357 \tabularnewline
24 & 0.079922 & 0.6734 & 0.251429 \tabularnewline
25 & -0.141063 & -1.1886 & 0.119275 \tabularnewline
26 & -0.145805 & -1.2286 & 0.111645 \tabularnewline
27 & -0.04051 & -0.3413 & 0.366928 \tabularnewline
28 & -0.004748 & -0.04 & 0.4841 \tabularnewline
29 & 0.050451 & 0.4251 & 0.336022 \tabularnewline
30 & 0.053463 & 0.4505 & 0.326865 \tabularnewline
31 & 0.035595 & 0.2999 & 0.382552 \tabularnewline
32 & 0.009322 & 0.0786 & 0.468806 \tabularnewline
33 & -0.038434 & -0.3238 & 0.373502 \tabularnewline
34 & -0.018705 & -0.1576 & 0.437605 \tabularnewline
35 & -0.0084 & -0.0708 & 0.471886 \tabularnewline
36 & 0.017408 & 0.1467 & 0.4419 \tabularnewline
37 & 0.034671 & 0.2921 & 0.385514 \tabularnewline
38 & 0.045686 & 0.385 & 0.350709 \tabularnewline
39 & 0.038556 & 0.3249 & 0.373114 \tabularnewline
40 & -0.03362 & -0.2833 & 0.38889 \tabularnewline
41 & -0.004592 & -0.0387 & 0.484623 \tabularnewline
42 & 0.06465 & 0.5448 & 0.293815 \tabularnewline
43 & 0.058903 & 0.4963 & 0.3106 \tabularnewline
44 & -0.00168 & -0.0142 & 0.494374 \tabularnewline
45 & -0.003631 & -0.0306 & 0.487839 \tabularnewline
46 & -0.043048 & -0.3627 & 0.358942 \tabularnewline
47 & -0.069257 & -0.5836 & 0.280681 \tabularnewline
48 & -0.034432 & -0.2901 & 0.386283 \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]0.283263[/C][C]2.3868[/C][C]0.009831[/C][/ROW]
[ROW][C]2[/C][C]-0.191855[/C][C]-1.6166[/C][C]0.0552[/C][/ROW]
[ROW][C]3[/C][C]-0.230754[/C][C]-1.9444[/C][C]0.027907[/C][/ROW]
[ROW][C]4[/C][C]-0.082654[/C][C]-0.6965[/C][C]0.24421[/C][/ROW]
[ROW][C]5[/C][C]-0.054247[/C][C]-0.4571[/C][C]0.324499[/C][/ROW]
[ROW][C]6[/C][C]-0.054179[/C][C]-0.4565[/C][C]0.324705[/C][/ROW]
[ROW][C]7[/C][C]-0.113019[/C][C]-0.9523[/C][C]0.172084[/C][/ROW]
[ROW][C]8[/C][C]-0.058181[/C][C]-0.4902[/C][C]0.312737[/C][/ROW]
[ROW][C]9[/C][C]-0.018003[/C][C]-0.1517[/C][C]0.439927[/C][/ROW]
[ROW][C]10[/C][C]-0.021202[/C][C]-0.1786[/C][C]0.429362[/C][/ROW]
[ROW][C]11[/C][C]-0.050893[/C][C]-0.4288[/C][C]0.334672[/C][/ROW]
[ROW][C]12[/C][C]0.1608[/C][C]1.3549[/C][C]0.089869[/C][/ROW]
[ROW][C]13[/C][C]0.113976[/C][C]0.9604[/C][C]0.170062[/C][/ROW]
[ROW][C]14[/C][C]0.035434[/C][C]0.2986[/C][C]0.38307[/C][/ROW]
[ROW][C]15[/C][C]-0.005713[/C][C]-0.0481[/C][C]0.48087[/C][/ROW]
[ROW][C]16[/C][C]-0.177548[/C][C]-1.496[/C][C]0.069537[/C][/ROW]
[ROW][C]17[/C][C]-0.074603[/C][C]-0.6286[/C][C]0.265808[/C][/ROW]
[ROW][C]18[/C][C]0.036844[/C][C]0.3105[/C][C]0.378562[/C][/ROW]
[ROW][C]19[/C][C]-0.015003[/C][C]-0.1264[/C][C]0.44988[/C][/ROW]
[ROW][C]20[/C][C]-0.171012[/C][C]-1.441[/C][C]0.076994[/C][/ROW]
[ROW][C]21[/C][C]-0.036536[/C][C]-0.3079[/C][C]0.379546[/C][/ROW]
[ROW][C]22[/C][C]0.150792[/C][C]1.2706[/C][C]0.10401[/C][/ROW]
[ROW][C]23[/C][C]0.156072[/C][C]1.3151[/C][C]0.096357[/C][/ROW]
[ROW][C]24[/C][C]0.079922[/C][C]0.6734[/C][C]0.251429[/C][/ROW]
[ROW][C]25[/C][C]-0.141063[/C][C]-1.1886[/C][C]0.119275[/C][/ROW]
[ROW][C]26[/C][C]-0.145805[/C][C]-1.2286[/C][C]0.111645[/C][/ROW]
[ROW][C]27[/C][C]-0.04051[/C][C]-0.3413[/C][C]0.366928[/C][/ROW]
[ROW][C]28[/C][C]-0.004748[/C][C]-0.04[/C][C]0.4841[/C][/ROW]
[ROW][C]29[/C][C]0.050451[/C][C]0.4251[/C][C]0.336022[/C][/ROW]
[ROW][C]30[/C][C]0.053463[/C][C]0.4505[/C][C]0.326865[/C][/ROW]
[ROW][C]31[/C][C]0.035595[/C][C]0.2999[/C][C]0.382552[/C][/ROW]
[ROW][C]32[/C][C]0.009322[/C][C]0.0786[/C][C]0.468806[/C][/ROW]
[ROW][C]33[/C][C]-0.038434[/C][C]-0.3238[/C][C]0.373502[/C][/ROW]
[ROW][C]34[/C][C]-0.018705[/C][C]-0.1576[/C][C]0.437605[/C][/ROW]
[ROW][C]35[/C][C]-0.0084[/C][C]-0.0708[/C][C]0.471886[/C][/ROW]
[ROW][C]36[/C][C]0.017408[/C][C]0.1467[/C][C]0.4419[/C][/ROW]
[ROW][C]37[/C][C]0.034671[/C][C]0.2921[/C][C]0.385514[/C][/ROW]
[ROW][C]38[/C][C]0.045686[/C][C]0.385[/C][C]0.350709[/C][/ROW]
[ROW][C]39[/C][C]0.038556[/C][C]0.3249[/C][C]0.373114[/C][/ROW]
[ROW][C]40[/C][C]-0.03362[/C][C]-0.2833[/C][C]0.38889[/C][/ROW]
[ROW][C]41[/C][C]-0.004592[/C][C]-0.0387[/C][C]0.484623[/C][/ROW]
[ROW][C]42[/C][C]0.06465[/C][C]0.5448[/C][C]0.293815[/C][/ROW]
[ROW][C]43[/C][C]0.058903[/C][C]0.4963[/C][C]0.3106[/C][/ROW]
[ROW][C]44[/C][C]-0.00168[/C][C]-0.0142[/C][C]0.494374[/C][/ROW]
[ROW][C]45[/C][C]-0.003631[/C][C]-0.0306[/C][C]0.487839[/C][/ROW]
[ROW][C]46[/C][C]-0.043048[/C][C]-0.3627[/C][C]0.358942[/C][/ROW]
[ROW][C]47[/C][C]-0.069257[/C][C]-0.5836[/C][C]0.280681[/C][/ROW]
[ROW][C]48[/C][C]-0.034432[/C][C]-0.2901[/C][C]0.386283[/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
10.2832632.38680.009831
2-0.191855-1.61660.0552
3-0.230754-1.94440.027907
4-0.082654-0.69650.24421
5-0.054247-0.45710.324499
6-0.054179-0.45650.324705
7-0.113019-0.95230.172084
8-0.058181-0.49020.312737
9-0.018003-0.15170.439927
10-0.021202-0.17860.429362
11-0.050893-0.42880.334672
120.16081.35490.089869
130.1139760.96040.170062
140.0354340.29860.38307
15-0.005713-0.04810.48087
16-0.177548-1.4960.069537
17-0.074603-0.62860.265808
180.0368440.31050.378562
19-0.015003-0.12640.44988
20-0.171012-1.4410.076994
21-0.036536-0.30790.379546
220.1507921.27060.10401
230.1560721.31510.096357
240.0799220.67340.251429
25-0.141063-1.18860.119275
26-0.145805-1.22860.111645
27-0.04051-0.34130.366928
28-0.004748-0.040.4841
290.0504510.42510.336022
300.0534630.45050.326865
310.0355950.29990.382552
320.0093220.07860.468806
33-0.038434-0.32380.373502
34-0.018705-0.15760.437605
35-0.0084-0.07080.471886
360.0174080.14670.4419
370.0346710.29210.385514
380.0456860.3850.350709
390.0385560.32490.373114
40-0.03362-0.28330.38889
41-0.004592-0.03870.484623
420.064650.54480.293815
430.0589030.49630.3106
44-0.00168-0.01420.494374
45-0.003631-0.03060.487839
46-0.043048-0.36270.358942
47-0.069257-0.58360.280681
48-0.034432-0.29010.386283






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.2832632.38680.009831
2-0.29583-2.49270.007506
3-0.091191-0.76840.222402
4-0.034462-0.29040.386187
5-0.113688-0.9580.170668
6-0.063139-0.5320.298187
7-0.150927-1.27170.103809
8-0.048232-0.40640.342833
9-0.090931-0.76620.223049
10-0.097769-0.82380.206401
11-0.108894-0.91760.180979
120.1569411.32240.095139
13-0.083023-0.69960.243242
140.0337760.28460.388388
150.0197820.16670.434047
16-0.236275-1.99090.025171
170.0854360.71990.236976
18-0.067181-0.56610.286564
19-0.087602-0.73810.23143
20-0.192295-1.62030.0548
210.0262630.22130.412747
220.0430510.36280.358932
230.0066190.05580.477841
240.0169420.14280.443443
25-0.22641-1.90780.030233
26-0.025259-0.21280.416032
27-0.195617-1.64830.051855
28-0.005241-0.04420.48245
29-0.017128-0.14430.442827
30-0.076656-0.64590.260207
310.0158610.13360.44703
32-0.057898-0.48790.313578
33-0.063023-0.5310.298523
34-0.101518-0.85540.197603
35-0.065266-0.54990.292043
36-0.234453-1.97550.026047
370.0492970.41540.339556
38-0.005335-0.0450.482134
39-0.004948-0.04170.48343
40-0.028034-0.23620.406972
41-0.109883-0.92590.17882
420.1069880.90150.185185
43-0.079473-0.66970.252625
44-0.002891-0.02440.490318
45-0.040513-0.34140.366916
46-0.089787-0.75660.225908
47-0.050007-0.42140.337379
480.0493350.41570.339439

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.283263 & 2.3868 & 0.009831 \tabularnewline
2 & -0.29583 & -2.4927 & 0.007506 \tabularnewline
3 & -0.091191 & -0.7684 & 0.222402 \tabularnewline
4 & -0.034462 & -0.2904 & 0.386187 \tabularnewline
5 & -0.113688 & -0.958 & 0.170668 \tabularnewline
6 & -0.063139 & -0.532 & 0.298187 \tabularnewline
7 & -0.150927 & -1.2717 & 0.103809 \tabularnewline
8 & -0.048232 & -0.4064 & 0.342833 \tabularnewline
9 & -0.090931 & -0.7662 & 0.223049 \tabularnewline
10 & -0.097769 & -0.8238 & 0.206401 \tabularnewline
11 & -0.108894 & -0.9176 & 0.180979 \tabularnewline
12 & 0.156941 & 1.3224 & 0.095139 \tabularnewline
13 & -0.083023 & -0.6996 & 0.243242 \tabularnewline
14 & 0.033776 & 0.2846 & 0.388388 \tabularnewline
15 & 0.019782 & 0.1667 & 0.434047 \tabularnewline
16 & -0.236275 & -1.9909 & 0.025171 \tabularnewline
17 & 0.085436 & 0.7199 & 0.236976 \tabularnewline
18 & -0.067181 & -0.5661 & 0.286564 \tabularnewline
19 & -0.087602 & -0.7381 & 0.23143 \tabularnewline
20 & -0.192295 & -1.6203 & 0.0548 \tabularnewline
21 & 0.026263 & 0.2213 & 0.412747 \tabularnewline
22 & 0.043051 & 0.3628 & 0.358932 \tabularnewline
23 & 0.006619 & 0.0558 & 0.477841 \tabularnewline
24 & 0.016942 & 0.1428 & 0.443443 \tabularnewline
25 & -0.22641 & -1.9078 & 0.030233 \tabularnewline
26 & -0.025259 & -0.2128 & 0.416032 \tabularnewline
27 & -0.195617 & -1.6483 & 0.051855 \tabularnewline
28 & -0.005241 & -0.0442 & 0.48245 \tabularnewline
29 & -0.017128 & -0.1443 & 0.442827 \tabularnewline
30 & -0.076656 & -0.6459 & 0.260207 \tabularnewline
31 & 0.015861 & 0.1336 & 0.44703 \tabularnewline
32 & -0.057898 & -0.4879 & 0.313578 \tabularnewline
33 & -0.063023 & -0.531 & 0.298523 \tabularnewline
34 & -0.101518 & -0.8554 & 0.197603 \tabularnewline
35 & -0.065266 & -0.5499 & 0.292043 \tabularnewline
36 & -0.234453 & -1.9755 & 0.026047 \tabularnewline
37 & 0.049297 & 0.4154 & 0.339556 \tabularnewline
38 & -0.005335 & -0.045 & 0.482134 \tabularnewline
39 & -0.004948 & -0.0417 & 0.48343 \tabularnewline
40 & -0.028034 & -0.2362 & 0.406972 \tabularnewline
41 & -0.109883 & -0.9259 & 0.17882 \tabularnewline
42 & 0.106988 & 0.9015 & 0.185185 \tabularnewline
43 & -0.079473 & -0.6697 & 0.252625 \tabularnewline
44 & -0.002891 & -0.0244 & 0.490318 \tabularnewline
45 & -0.040513 & -0.3414 & 0.366916 \tabularnewline
46 & -0.089787 & -0.7566 & 0.225908 \tabularnewline
47 & -0.050007 & -0.4214 & 0.337379 \tabularnewline
48 & 0.049335 & 0.4157 & 0.339439 \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]0.283263[/C][C]2.3868[/C][C]0.009831[/C][/ROW]
[ROW][C]2[/C][C]-0.29583[/C][C]-2.4927[/C][C]0.007506[/C][/ROW]
[ROW][C]3[/C][C]-0.091191[/C][C]-0.7684[/C][C]0.222402[/C][/ROW]
[ROW][C]4[/C][C]-0.034462[/C][C]-0.2904[/C][C]0.386187[/C][/ROW]
[ROW][C]5[/C][C]-0.113688[/C][C]-0.958[/C][C]0.170668[/C][/ROW]
[ROW][C]6[/C][C]-0.063139[/C][C]-0.532[/C][C]0.298187[/C][/ROW]
[ROW][C]7[/C][C]-0.150927[/C][C]-1.2717[/C][C]0.103809[/C][/ROW]
[ROW][C]8[/C][C]-0.048232[/C][C]-0.4064[/C][C]0.342833[/C][/ROW]
[ROW][C]9[/C][C]-0.090931[/C][C]-0.7662[/C][C]0.223049[/C][/ROW]
[ROW][C]10[/C][C]-0.097769[/C][C]-0.8238[/C][C]0.206401[/C][/ROW]
[ROW][C]11[/C][C]-0.108894[/C][C]-0.9176[/C][C]0.180979[/C][/ROW]
[ROW][C]12[/C][C]0.156941[/C][C]1.3224[/C][C]0.095139[/C][/ROW]
[ROW][C]13[/C][C]-0.083023[/C][C]-0.6996[/C][C]0.243242[/C][/ROW]
[ROW][C]14[/C][C]0.033776[/C][C]0.2846[/C][C]0.388388[/C][/ROW]
[ROW][C]15[/C][C]0.019782[/C][C]0.1667[/C][C]0.434047[/C][/ROW]
[ROW][C]16[/C][C]-0.236275[/C][C]-1.9909[/C][C]0.025171[/C][/ROW]
[ROW][C]17[/C][C]0.085436[/C][C]0.7199[/C][C]0.236976[/C][/ROW]
[ROW][C]18[/C][C]-0.067181[/C][C]-0.5661[/C][C]0.286564[/C][/ROW]
[ROW][C]19[/C][C]-0.087602[/C][C]-0.7381[/C][C]0.23143[/C][/ROW]
[ROW][C]20[/C][C]-0.192295[/C][C]-1.6203[/C][C]0.0548[/C][/ROW]
[ROW][C]21[/C][C]0.026263[/C][C]0.2213[/C][C]0.412747[/C][/ROW]
[ROW][C]22[/C][C]0.043051[/C][C]0.3628[/C][C]0.358932[/C][/ROW]
[ROW][C]23[/C][C]0.006619[/C][C]0.0558[/C][C]0.477841[/C][/ROW]
[ROW][C]24[/C][C]0.016942[/C][C]0.1428[/C][C]0.443443[/C][/ROW]
[ROW][C]25[/C][C]-0.22641[/C][C]-1.9078[/C][C]0.030233[/C][/ROW]
[ROW][C]26[/C][C]-0.025259[/C][C]-0.2128[/C][C]0.416032[/C][/ROW]
[ROW][C]27[/C][C]-0.195617[/C][C]-1.6483[/C][C]0.051855[/C][/ROW]
[ROW][C]28[/C][C]-0.005241[/C][C]-0.0442[/C][C]0.48245[/C][/ROW]
[ROW][C]29[/C][C]-0.017128[/C][C]-0.1443[/C][C]0.442827[/C][/ROW]
[ROW][C]30[/C][C]-0.076656[/C][C]-0.6459[/C][C]0.260207[/C][/ROW]
[ROW][C]31[/C][C]0.015861[/C][C]0.1336[/C][C]0.44703[/C][/ROW]
[ROW][C]32[/C][C]-0.057898[/C][C]-0.4879[/C][C]0.313578[/C][/ROW]
[ROW][C]33[/C][C]-0.063023[/C][C]-0.531[/C][C]0.298523[/C][/ROW]
[ROW][C]34[/C][C]-0.101518[/C][C]-0.8554[/C][C]0.197603[/C][/ROW]
[ROW][C]35[/C][C]-0.065266[/C][C]-0.5499[/C][C]0.292043[/C][/ROW]
[ROW][C]36[/C][C]-0.234453[/C][C]-1.9755[/C][C]0.026047[/C][/ROW]
[ROW][C]37[/C][C]0.049297[/C][C]0.4154[/C][C]0.339556[/C][/ROW]
[ROW][C]38[/C][C]-0.005335[/C][C]-0.045[/C][C]0.482134[/C][/ROW]
[ROW][C]39[/C][C]-0.004948[/C][C]-0.0417[/C][C]0.48343[/C][/ROW]
[ROW][C]40[/C][C]-0.028034[/C][C]-0.2362[/C][C]0.406972[/C][/ROW]
[ROW][C]41[/C][C]-0.109883[/C][C]-0.9259[/C][C]0.17882[/C][/ROW]
[ROW][C]42[/C][C]0.106988[/C][C]0.9015[/C][C]0.185185[/C][/ROW]
[ROW][C]43[/C][C]-0.079473[/C][C]-0.6697[/C][C]0.252625[/C][/ROW]
[ROW][C]44[/C][C]-0.002891[/C][C]-0.0244[/C][C]0.490318[/C][/ROW]
[ROW][C]45[/C][C]-0.040513[/C][C]-0.3414[/C][C]0.366916[/C][/ROW]
[ROW][C]46[/C][C]-0.089787[/C][C]-0.7566[/C][C]0.225908[/C][/ROW]
[ROW][C]47[/C][C]-0.050007[/C][C]-0.4214[/C][C]0.337379[/C][/ROW]
[ROW][C]48[/C][C]0.049335[/C][C]0.4157[/C][C]0.339439[/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
10.2832632.38680.009831
2-0.29583-2.49270.007506
3-0.091191-0.76840.222402
4-0.034462-0.29040.386187
5-0.113688-0.9580.170668
6-0.063139-0.5320.298187
7-0.150927-1.27170.103809
8-0.048232-0.40640.342833
9-0.090931-0.76620.223049
10-0.097769-0.82380.206401
11-0.108894-0.91760.180979
120.1569411.32240.095139
13-0.083023-0.69960.243242
140.0337760.28460.388388
150.0197820.16670.434047
16-0.236275-1.99090.025171
170.0854360.71990.236976
18-0.067181-0.56610.286564
19-0.087602-0.73810.23143
20-0.192295-1.62030.0548
210.0262630.22130.412747
220.0430510.36280.358932
230.0066190.05580.477841
240.0169420.14280.443443
25-0.22641-1.90780.030233
26-0.025259-0.21280.416032
27-0.195617-1.64830.051855
28-0.005241-0.04420.48245
29-0.017128-0.14430.442827
30-0.076656-0.64590.260207
310.0158610.13360.44703
32-0.057898-0.48790.313578
33-0.063023-0.5310.298523
34-0.101518-0.85540.197603
35-0.065266-0.54990.292043
36-0.234453-1.97550.026047
370.0492970.41540.339556
38-0.005335-0.0450.482134
39-0.004948-0.04170.48343
40-0.028034-0.23620.406972
41-0.109883-0.92590.17882
420.1069880.90150.185185
43-0.079473-0.66970.252625
44-0.002891-0.02440.490318
45-0.040513-0.34140.366916
46-0.089787-0.75660.225908
47-0.050007-0.42140.337379
480.0493350.41570.339439


Figures (Output of Computation)

Input Parameters & R Code

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