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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, 10 Mar 2016 15:42:01 +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/Mar/10/t1457624570u8j4lg4i02ve1pp.htm/, Retrieved Wed, 08 May 2024 23:26:38 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=293843, Retrieved Wed, 08 May 2024 23:26:38 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact146

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [autocorrelation f...] [2016-03-10 15:42:01] [214f5f03d61b6cc2dcf3be3cf135b694] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
78,21
75,50
79,87
85,76
77,02
75,47
75,29
77,52
78,44
83,50
86,29
92,14
96,91
104,23
114,60
122,09
114,52
113,77
117,03
109,84
109,90
108,74
110,49
107,82
111,26
119,06
124,54
120,60
110,28
95,93
102,72
112,68
113,03
111,48
109,56
109,16
112,32
116,08
109,63
109,63
103,27
103,32
107,38
110,45
111,24
109,44
107,94
110,58
107,31
108,70
107,70
108,08
109,32
111,95
108,07
103,38
98,54
88,16
79,70
63,30

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=293843&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=293843&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=293843&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
10.8402326.50840
20.6748425.22731e-06
30.5409134.18994.7e-05
40.4610583.57130.000354
50.3803572.94620.002287
60.3016482.33660.01141
70.2238351.73380.044043
80.1519561.1770.121912
90.0931840.72180.23661
100.0505140.39130.348488
110.0114780.08890.464724
12-0.049163-0.38080.352341
13-0.116373-0.90140.185485
14-0.177923-1.37820.086632
15-0.176399-1.36640.088459
16-0.133427-1.03350.152754
17-0.106073-0.82160.207267
18-0.100799-0.78080.218999
19-0.105475-0.8170.208579
20-0.141988-1.09980.137898
21-0.145612-1.12790.131925
22-0.156194-1.20990.115536
23-0.150008-1.1620.124927
24-0.164008-1.27040.104423
25-0.182201-1.41130.081657
26-0.179848-1.39310.084365
27-0.13589-1.05260.148373
28-0.084586-0.65520.257422
29-0.065219-0.50520.307641
30-0.12044-0.93290.1773
31-0.206031-1.59590.057882
32-0.230604-1.78620.039556
33-0.215495-1.66920.050142
34-0.174993-1.35550.090171
35-0.151835-1.17610.122098
36-0.15113-1.17070.123184
37-0.160267-1.24140.109641
38-0.149508-1.15810.125709
39-0.163332-1.26520.105352
40-0.179027-1.38670.085326
41-0.217499-1.68470.048617
42-0.229333-1.77640.040368
43-0.236472-1.83170.03598
44-0.222896-1.72650.044697
45-0.160245-1.24130.109672
46-0.096317-0.74610.22927
47-0.046924-0.36350.358765
48-6.2e-05-5e-040.499809

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.840232 & 6.5084 & 0 \tabularnewline
2 & 0.674842 & 5.2273 & 1e-06 \tabularnewline
3 & 0.540913 & 4.1899 & 4.7e-05 \tabularnewline
4 & 0.461058 & 3.5713 & 0.000354 \tabularnewline
5 & 0.380357 & 2.9462 & 0.002287 \tabularnewline
6 & 0.301648 & 2.3366 & 0.01141 \tabularnewline
7 & 0.223835 & 1.7338 & 0.044043 \tabularnewline
8 & 0.151956 & 1.177 & 0.121912 \tabularnewline
9 & 0.093184 & 0.7218 & 0.23661 \tabularnewline
10 & 0.050514 & 0.3913 & 0.348488 \tabularnewline
11 & 0.011478 & 0.0889 & 0.464724 \tabularnewline
12 & -0.049163 & -0.3808 & 0.352341 \tabularnewline
13 & -0.116373 & -0.9014 & 0.185485 \tabularnewline
14 & -0.177923 & -1.3782 & 0.086632 \tabularnewline
15 & -0.176399 & -1.3664 & 0.088459 \tabularnewline
16 & -0.133427 & -1.0335 & 0.152754 \tabularnewline
17 & -0.106073 & -0.8216 & 0.207267 \tabularnewline
18 & -0.100799 & -0.7808 & 0.218999 \tabularnewline
19 & -0.105475 & -0.817 & 0.208579 \tabularnewline
20 & -0.141988 & -1.0998 & 0.137898 \tabularnewline
21 & -0.145612 & -1.1279 & 0.131925 \tabularnewline
22 & -0.156194 & -1.2099 & 0.115536 \tabularnewline
23 & -0.150008 & -1.162 & 0.124927 \tabularnewline
24 & -0.164008 & -1.2704 & 0.104423 \tabularnewline
25 & -0.182201 & -1.4113 & 0.081657 \tabularnewline
26 & -0.179848 & -1.3931 & 0.084365 \tabularnewline
27 & -0.13589 & -1.0526 & 0.148373 \tabularnewline
28 & -0.084586 & -0.6552 & 0.257422 \tabularnewline
29 & -0.065219 & -0.5052 & 0.307641 \tabularnewline
30 & -0.12044 & -0.9329 & 0.1773 \tabularnewline
31 & -0.206031 & -1.5959 & 0.057882 \tabularnewline
32 & -0.230604 & -1.7862 & 0.039556 \tabularnewline
33 & -0.215495 & -1.6692 & 0.050142 \tabularnewline
34 & -0.174993 & -1.3555 & 0.090171 \tabularnewline
35 & -0.151835 & -1.1761 & 0.122098 \tabularnewline
36 & -0.15113 & -1.1707 & 0.123184 \tabularnewline
37 & -0.160267 & -1.2414 & 0.109641 \tabularnewline
38 & -0.149508 & -1.1581 & 0.125709 \tabularnewline
39 & -0.163332 & -1.2652 & 0.105352 \tabularnewline
40 & -0.179027 & -1.3867 & 0.085326 \tabularnewline
41 & -0.217499 & -1.6847 & 0.048617 \tabularnewline
42 & -0.229333 & -1.7764 & 0.040368 \tabularnewline
43 & -0.236472 & -1.8317 & 0.03598 \tabularnewline
44 & -0.222896 & -1.7265 & 0.044697 \tabularnewline
45 & -0.160245 & -1.2413 & 0.109672 \tabularnewline
46 & -0.096317 & -0.7461 & 0.22927 \tabularnewline
47 & -0.046924 & -0.3635 & 0.358765 \tabularnewline
48 & -6.2e-05 & -5e-04 & 0.499809 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=293843&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]0.840232[/C][C]6.5084[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.674842[/C][C]5.2273[/C][C]1e-06[/C][/ROW]
[ROW][C]3[/C][C]0.540913[/C][C]4.1899[/C][C]4.7e-05[/C][/ROW]
[ROW][C]4[/C][C]0.461058[/C][C]3.5713[/C][C]0.000354[/C][/ROW]
[ROW][C]5[/C][C]0.380357[/C][C]2.9462[/C][C]0.002287[/C][/ROW]
[ROW][C]6[/C][C]0.301648[/C][C]2.3366[/C][C]0.01141[/C][/ROW]
[ROW][C]7[/C][C]0.223835[/C][C]1.7338[/C][C]0.044043[/C][/ROW]
[ROW][C]8[/C][C]0.151956[/C][C]1.177[/C][C]0.121912[/C][/ROW]
[ROW][C]9[/C][C]0.093184[/C][C]0.7218[/C][C]0.23661[/C][/ROW]
[ROW][C]10[/C][C]0.050514[/C][C]0.3913[/C][C]0.348488[/C][/ROW]
[ROW][C]11[/C][C]0.011478[/C][C]0.0889[/C][C]0.464724[/C][/ROW]
[ROW][C]12[/C][C]-0.049163[/C][C]-0.3808[/C][C]0.352341[/C][/ROW]
[ROW][C]13[/C][C]-0.116373[/C][C]-0.9014[/C][C]0.185485[/C][/ROW]
[ROW][C]14[/C][C]-0.177923[/C][C]-1.3782[/C][C]0.086632[/C][/ROW]
[ROW][C]15[/C][C]-0.176399[/C][C]-1.3664[/C][C]0.088459[/C][/ROW]
[ROW][C]16[/C][C]-0.133427[/C][C]-1.0335[/C][C]0.152754[/C][/ROW]
[ROW][C]17[/C][C]-0.106073[/C][C]-0.8216[/C][C]0.207267[/C][/ROW]
[ROW][C]18[/C][C]-0.100799[/C][C]-0.7808[/C][C]0.218999[/C][/ROW]
[ROW][C]19[/C][C]-0.105475[/C][C]-0.817[/C][C]0.208579[/C][/ROW]
[ROW][C]20[/C][C]-0.141988[/C][C]-1.0998[/C][C]0.137898[/C][/ROW]
[ROW][C]21[/C][C]-0.145612[/C][C]-1.1279[/C][C]0.131925[/C][/ROW]
[ROW][C]22[/C][C]-0.156194[/C][C]-1.2099[/C][C]0.115536[/C][/ROW]
[ROW][C]23[/C][C]-0.150008[/C][C]-1.162[/C][C]0.124927[/C][/ROW]
[ROW][C]24[/C][C]-0.164008[/C][C]-1.2704[/C][C]0.104423[/C][/ROW]
[ROW][C]25[/C][C]-0.182201[/C][C]-1.4113[/C][C]0.081657[/C][/ROW]
[ROW][C]26[/C][C]-0.179848[/C][C]-1.3931[/C][C]0.084365[/C][/ROW]
[ROW][C]27[/C][C]-0.13589[/C][C]-1.0526[/C][C]0.148373[/C][/ROW]
[ROW][C]28[/C][C]-0.084586[/C][C]-0.6552[/C][C]0.257422[/C][/ROW]
[ROW][C]29[/C][C]-0.065219[/C][C]-0.5052[/C][C]0.307641[/C][/ROW]
[ROW][C]30[/C][C]-0.12044[/C][C]-0.9329[/C][C]0.1773[/C][/ROW]
[ROW][C]31[/C][C]-0.206031[/C][C]-1.5959[/C][C]0.057882[/C][/ROW]
[ROW][C]32[/C][C]-0.230604[/C][C]-1.7862[/C][C]0.039556[/C][/ROW]
[ROW][C]33[/C][C]-0.215495[/C][C]-1.6692[/C][C]0.050142[/C][/ROW]
[ROW][C]34[/C][C]-0.174993[/C][C]-1.3555[/C][C]0.090171[/C][/ROW]
[ROW][C]35[/C][C]-0.151835[/C][C]-1.1761[/C][C]0.122098[/C][/ROW]
[ROW][C]36[/C][C]-0.15113[/C][C]-1.1707[/C][C]0.123184[/C][/ROW]
[ROW][C]37[/C][C]-0.160267[/C][C]-1.2414[/C][C]0.109641[/C][/ROW]
[ROW][C]38[/C][C]-0.149508[/C][C]-1.1581[/C][C]0.125709[/C][/ROW]
[ROW][C]39[/C][C]-0.163332[/C][C]-1.2652[/C][C]0.105352[/C][/ROW]
[ROW][C]40[/C][C]-0.179027[/C][C]-1.3867[/C][C]0.085326[/C][/ROW]
[ROW][C]41[/C][C]-0.217499[/C][C]-1.6847[/C][C]0.048617[/C][/ROW]
[ROW][C]42[/C][C]-0.229333[/C][C]-1.7764[/C][C]0.040368[/C][/ROW]
[ROW][C]43[/C][C]-0.236472[/C][C]-1.8317[/C][C]0.03598[/C][/ROW]
[ROW][C]44[/C][C]-0.222896[/C][C]-1.7265[/C][C]0.044697[/C][/ROW]
[ROW][C]45[/C][C]-0.160245[/C][C]-1.2413[/C][C]0.109672[/C][/ROW]
[ROW][C]46[/C][C]-0.096317[/C][C]-0.7461[/C][C]0.22927[/C][/ROW]
[ROW][C]47[/C][C]-0.046924[/C][C]-0.3635[/C][C]0.358765[/C][/ROW]
[ROW][C]48[/C][C]-6.2e-05[/C][C]-5e-04[/C][C]0.499809[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=293843&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=293843&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
10.8402326.50840
20.6748425.22731e-06
30.5409134.18994.7e-05
40.4610583.57130.000354
50.3803572.94620.002287
60.3016482.33660.01141
70.2238351.73380.044043
80.1519561.1770.121912
90.0931840.72180.23661
100.0505140.39130.348488
110.0114780.08890.464724
12-0.049163-0.38080.352341
13-0.116373-0.90140.185485
14-0.177923-1.37820.086632
15-0.176399-1.36640.088459
16-0.133427-1.03350.152754
17-0.106073-0.82160.207267
18-0.100799-0.78080.218999
19-0.105475-0.8170.208579
20-0.141988-1.09980.137898
21-0.145612-1.12790.131925
22-0.156194-1.20990.115536
23-0.150008-1.1620.124927
24-0.164008-1.27040.104423
25-0.182201-1.41130.081657
26-0.179848-1.39310.084365
27-0.13589-1.05260.148373
28-0.084586-0.65520.257422
29-0.065219-0.50520.307641
30-0.12044-0.93290.1773
31-0.206031-1.59590.057882
32-0.230604-1.78620.039556
33-0.215495-1.66920.050142
34-0.174993-1.35550.090171
35-0.151835-1.17610.122098
36-0.15113-1.17070.123184
37-0.160267-1.24140.109641
38-0.149508-1.15810.125709
39-0.163332-1.26520.105352
40-0.179027-1.38670.085326
41-0.217499-1.68470.048617
42-0.229333-1.77640.040368
43-0.236472-1.83170.03598
44-0.222896-1.72650.044697
45-0.160245-1.24130.109672
46-0.096317-0.74610.22927
47-0.046924-0.36350.358765
48-6.2e-05-5e-040.499809






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.8402326.50840
2-0.10594-0.82060.20756
30.0097440.07550.470044
40.0938290.72680.235087
5-0.063433-0.49130.312487
6-0.028154-0.21810.414054
7-0.035879-0.27790.391015
8-0.044821-0.34720.364833
9-0.013746-0.10650.45778
10-0.001438-0.01110.495574
11-0.032439-0.25130.401232
12-0.108085-0.83720.202894
13-0.070426-0.54550.29371
14-0.061141-0.47360.318753
150.1238750.95950.170571
160.0993190.76930.222359
17-0.04039-0.31290.377736
18-0.014939-0.11570.454133
19-0.026215-0.20310.419888
20-0.159051-1.2320.111378
210.0665010.51510.304182
22-0.07674-0.59440.277232
230.0224710.17410.431203
24-0.049458-0.38310.3515
25-0.053067-0.41110.341248
260.0209660.16240.435768
270.0837440.64870.259511
280.0232280.17990.428911
29-0.040653-0.31490.376965
30-0.198515-1.53770.064691
31-0.160126-1.24030.109841
320.0786170.6090.272422
330.0324360.25120.401241
340.0346790.26860.394571
35-0.001168-0.0090.496406
36-0.070787-0.54830.292756
37-0.066074-0.51180.305331
380.0161990.12550.450282
39-0.159069-1.23210.111351
40-0.04362-0.33790.368317
41-0.035478-0.27480.392202
420.0372080.28820.387088
43-0.03309-0.25630.399292
44-0.075968-0.58840.279221
450.0708240.54860.292658
460.0326330.25280.400653
470.0688760.53350.297824
480.0944810.73190.233555

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.840232 & 6.5084 & 0 \tabularnewline
2 & -0.10594 & -0.8206 & 0.20756 \tabularnewline
3 & 0.009744 & 0.0755 & 0.470044 \tabularnewline
4 & 0.093829 & 0.7268 & 0.235087 \tabularnewline
5 & -0.063433 & -0.4913 & 0.312487 \tabularnewline
6 & -0.028154 & -0.2181 & 0.414054 \tabularnewline
7 & -0.035879 & -0.2779 & 0.391015 \tabularnewline
8 & -0.044821 & -0.3472 & 0.364833 \tabularnewline
9 & -0.013746 & -0.1065 & 0.45778 \tabularnewline
10 & -0.001438 & -0.0111 & 0.495574 \tabularnewline
11 & -0.032439 & -0.2513 & 0.401232 \tabularnewline
12 & -0.108085 & -0.8372 & 0.202894 \tabularnewline
13 & -0.070426 & -0.5455 & 0.29371 \tabularnewline
14 & -0.061141 & -0.4736 & 0.318753 \tabularnewline
15 & 0.123875 & 0.9595 & 0.170571 \tabularnewline
16 & 0.099319 & 0.7693 & 0.222359 \tabularnewline
17 & -0.04039 & -0.3129 & 0.377736 \tabularnewline
18 & -0.014939 & -0.1157 & 0.454133 \tabularnewline
19 & -0.026215 & -0.2031 & 0.419888 \tabularnewline
20 & -0.159051 & -1.232 & 0.111378 \tabularnewline
21 & 0.066501 & 0.5151 & 0.304182 \tabularnewline
22 & -0.07674 & -0.5944 & 0.277232 \tabularnewline
23 & 0.022471 & 0.1741 & 0.431203 \tabularnewline
24 & -0.049458 & -0.3831 & 0.3515 \tabularnewline
25 & -0.053067 & -0.4111 & 0.341248 \tabularnewline
26 & 0.020966 & 0.1624 & 0.435768 \tabularnewline
27 & 0.083744 & 0.6487 & 0.259511 \tabularnewline
28 & 0.023228 & 0.1799 & 0.428911 \tabularnewline
29 & -0.040653 & -0.3149 & 0.376965 \tabularnewline
30 & -0.198515 & -1.5377 & 0.064691 \tabularnewline
31 & -0.160126 & -1.2403 & 0.109841 \tabularnewline
32 & 0.078617 & 0.609 & 0.272422 \tabularnewline
33 & 0.032436 & 0.2512 & 0.401241 \tabularnewline
34 & 0.034679 & 0.2686 & 0.394571 \tabularnewline
35 & -0.001168 & -0.009 & 0.496406 \tabularnewline
36 & -0.070787 & -0.5483 & 0.292756 \tabularnewline
37 & -0.066074 & -0.5118 & 0.305331 \tabularnewline
38 & 0.016199 & 0.1255 & 0.450282 \tabularnewline
39 & -0.159069 & -1.2321 & 0.111351 \tabularnewline
40 & -0.04362 & -0.3379 & 0.368317 \tabularnewline
41 & -0.035478 & -0.2748 & 0.392202 \tabularnewline
42 & 0.037208 & 0.2882 & 0.387088 \tabularnewline
43 & -0.03309 & -0.2563 & 0.399292 \tabularnewline
44 & -0.075968 & -0.5884 & 0.279221 \tabularnewline
45 & 0.070824 & 0.5486 & 0.292658 \tabularnewline
46 & 0.032633 & 0.2528 & 0.400653 \tabularnewline
47 & 0.068876 & 0.5335 & 0.297824 \tabularnewline
48 & 0.094481 & 0.7319 & 0.233555 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=293843&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]0.840232[/C][C]6.5084[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.10594[/C][C]-0.8206[/C][C]0.20756[/C][/ROW]
[ROW][C]3[/C][C]0.009744[/C][C]0.0755[/C][C]0.470044[/C][/ROW]
[ROW][C]4[/C][C]0.093829[/C][C]0.7268[/C][C]0.235087[/C][/ROW]
[ROW][C]5[/C][C]-0.063433[/C][C]-0.4913[/C][C]0.312487[/C][/ROW]
[ROW][C]6[/C][C]-0.028154[/C][C]-0.2181[/C][C]0.414054[/C][/ROW]
[ROW][C]7[/C][C]-0.035879[/C][C]-0.2779[/C][C]0.391015[/C][/ROW]
[ROW][C]8[/C][C]-0.044821[/C][C]-0.3472[/C][C]0.364833[/C][/ROW]
[ROW][C]9[/C][C]-0.013746[/C][C]-0.1065[/C][C]0.45778[/C][/ROW]
[ROW][C]10[/C][C]-0.001438[/C][C]-0.0111[/C][C]0.495574[/C][/ROW]
[ROW][C]11[/C][C]-0.032439[/C][C]-0.2513[/C][C]0.401232[/C][/ROW]
[ROW][C]12[/C][C]-0.108085[/C][C]-0.8372[/C][C]0.202894[/C][/ROW]
[ROW][C]13[/C][C]-0.070426[/C][C]-0.5455[/C][C]0.29371[/C][/ROW]
[ROW][C]14[/C][C]-0.061141[/C][C]-0.4736[/C][C]0.318753[/C][/ROW]
[ROW][C]15[/C][C]0.123875[/C][C]0.9595[/C][C]0.170571[/C][/ROW]
[ROW][C]16[/C][C]0.099319[/C][C]0.7693[/C][C]0.222359[/C][/ROW]
[ROW][C]17[/C][C]-0.04039[/C][C]-0.3129[/C][C]0.377736[/C][/ROW]
[ROW][C]18[/C][C]-0.014939[/C][C]-0.1157[/C][C]0.454133[/C][/ROW]
[ROW][C]19[/C][C]-0.026215[/C][C]-0.2031[/C][C]0.419888[/C][/ROW]
[ROW][C]20[/C][C]-0.159051[/C][C]-1.232[/C][C]0.111378[/C][/ROW]
[ROW][C]21[/C][C]0.066501[/C][C]0.5151[/C][C]0.304182[/C][/ROW]
[ROW][C]22[/C][C]-0.07674[/C][C]-0.5944[/C][C]0.277232[/C][/ROW]
[ROW][C]23[/C][C]0.022471[/C][C]0.1741[/C][C]0.431203[/C][/ROW]
[ROW][C]24[/C][C]-0.049458[/C][C]-0.3831[/C][C]0.3515[/C][/ROW]
[ROW][C]25[/C][C]-0.053067[/C][C]-0.4111[/C][C]0.341248[/C][/ROW]
[ROW][C]26[/C][C]0.020966[/C][C]0.1624[/C][C]0.435768[/C][/ROW]
[ROW][C]27[/C][C]0.083744[/C][C]0.6487[/C][C]0.259511[/C][/ROW]
[ROW][C]28[/C][C]0.023228[/C][C]0.1799[/C][C]0.428911[/C][/ROW]
[ROW][C]29[/C][C]-0.040653[/C][C]-0.3149[/C][C]0.376965[/C][/ROW]
[ROW][C]30[/C][C]-0.198515[/C][C]-1.5377[/C][C]0.064691[/C][/ROW]
[ROW][C]31[/C][C]-0.160126[/C][C]-1.2403[/C][C]0.109841[/C][/ROW]
[ROW][C]32[/C][C]0.078617[/C][C]0.609[/C][C]0.272422[/C][/ROW]
[ROW][C]33[/C][C]0.032436[/C][C]0.2512[/C][C]0.401241[/C][/ROW]
[ROW][C]34[/C][C]0.034679[/C][C]0.2686[/C][C]0.394571[/C][/ROW]
[ROW][C]35[/C][C]-0.001168[/C][C]-0.009[/C][C]0.496406[/C][/ROW]
[ROW][C]36[/C][C]-0.070787[/C][C]-0.5483[/C][C]0.292756[/C][/ROW]
[ROW][C]37[/C][C]-0.066074[/C][C]-0.5118[/C][C]0.305331[/C][/ROW]
[ROW][C]38[/C][C]0.016199[/C][C]0.1255[/C][C]0.450282[/C][/ROW]
[ROW][C]39[/C][C]-0.159069[/C][C]-1.2321[/C][C]0.111351[/C][/ROW]
[ROW][C]40[/C][C]-0.04362[/C][C]-0.3379[/C][C]0.368317[/C][/ROW]
[ROW][C]41[/C][C]-0.035478[/C][C]-0.2748[/C][C]0.392202[/C][/ROW]
[ROW][C]42[/C][C]0.037208[/C][C]0.2882[/C][C]0.387088[/C][/ROW]
[ROW][C]43[/C][C]-0.03309[/C][C]-0.2563[/C][C]0.399292[/C][/ROW]
[ROW][C]44[/C][C]-0.075968[/C][C]-0.5884[/C][C]0.279221[/C][/ROW]
[ROW][C]45[/C][C]0.070824[/C][C]0.5486[/C][C]0.292658[/C][/ROW]
[ROW][C]46[/C][C]0.032633[/C][C]0.2528[/C][C]0.400653[/C][/ROW]
[ROW][C]47[/C][C]0.068876[/C][C]0.5335[/C][C]0.297824[/C][/ROW]
[ROW][C]48[/C][C]0.094481[/C][C]0.7319[/C][C]0.233555[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=293843&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=293843&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
10.8402326.50840
2-0.10594-0.82060.20756
30.0097440.07550.470044
40.0938290.72680.235087
5-0.063433-0.49130.312487
6-0.028154-0.21810.414054
7-0.035879-0.27790.391015
8-0.044821-0.34720.364833
9-0.013746-0.10650.45778
10-0.001438-0.01110.495574
11-0.032439-0.25130.401232
12-0.108085-0.83720.202894
13-0.070426-0.54550.29371
14-0.061141-0.47360.318753
150.1238750.95950.170571
160.0993190.76930.222359
17-0.04039-0.31290.377736
18-0.014939-0.11570.454133
19-0.026215-0.20310.419888
20-0.159051-1.2320.111378
210.0665010.51510.304182
22-0.07674-0.59440.277232
230.0224710.17410.431203
24-0.049458-0.38310.3515
25-0.053067-0.41110.341248
260.0209660.16240.435768
270.0837440.64870.259511
280.0232280.17990.428911
29-0.040653-0.31490.376965
30-0.198515-1.53770.064691
31-0.160126-1.24030.109841
320.0786170.6090.272422
330.0324360.25120.401241
340.0346790.26860.394571
35-0.001168-0.0090.496406
36-0.070787-0.54830.292756
37-0.066074-0.51180.305331
380.0161990.12550.450282
39-0.159069-1.23210.111351
40-0.04362-0.33790.368317
41-0.035478-0.27480.392202
420.0372080.28820.387088
43-0.03309-0.25630.399292
44-0.075968-0.58840.279221
450.0708240.54860.292658
460.0326330.25280.400653
470.0688760.53350.297824
480.0944810.73190.233555


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')