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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, 14 Mar 2013 12:18:23 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2013/Mar/14/t1363277927sidzcqeiy31n1xy.htm/, Retrieved Sat, 04 May 2024 11:55:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=207807, Retrieved Sat, 04 May 2024 11:55:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact99

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 s...] [2013-03-14 16:18:23] [c4c9b4129bedc71f03f13c4d5d04c320] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
2,39
2,4
2,42
2,42
2,44
2,44
2,44
2,45
2,46
2,47
2,48
2,48
2,49
2,5
2,51
2,52
2,52
2,52
2,54
2,54
2,54
2,56
2,57
2,58
2,58
2,58
2,58
2,59
2,6
2,61
2,61
2,62
2,63
2,65
2,67
2,68
2,67
2,68
2,68
2,68
2,68
2,69
2,69
2,69
2,7
2,71
2,72
2,71
2,72
2,73
2,74
2,74
2,75
2,75
2,76
2,75
2,78
2,79
2,8
2,81
2,81
2,82
2,82
2,83
2,83
2,84
2,84
2,84
2,86
2,87
2,88
2,88

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'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 & 2 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207807&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]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207807&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207807&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'Gwilym Jenkins' @ jenkins.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.184616-1.55560.062125
2-0.000217-0.00180.499274
3-0.140715-1.18570.11985
40.0118780.10010.460278
5-0.023969-0.2020.420261
6-0.011252-0.09480.462365
7-0.013584-0.11450.454599
8-0.032673-0.27530.39194
9-0.10785-0.90880.183277
10-0.102657-0.8650.194975
110.1939171.6340.053345
120.1019830.85930.196528
130.0268060.22590.410976
14-0.048371-0.40760.342404
15-0.074984-0.63180.264764
160.0122880.10350.458914
170.0325280.27410.392406
18-0.220145-1.8550.033876
190.2053621.73040.043951
20-0.032263-0.27190.393261
21-0.083158-0.70070.242889
22-0.036926-0.31110.378301
230.1064330.89680.186422
240.0873440.7360.232085
250.0590210.49730.31025
26-0.105759-0.89110.187932
270.0618820.52140.301845
28-0.013295-0.1120.455561
29-0.056666-0.47750.317246
300.0046150.03890.484546
310.099410.83760.20252
32-0.138215-1.16460.124035
33-0.019137-0.16130.436175
34-0.070032-0.59010.278497
350.1218911.02710.153937
360.076810.64720.259792
37-0.071213-0.60.275193
38-0.000698-0.00590.49766
39-0.075875-0.63930.262331
40-0.022119-0.18640.42634
410.0241130.20320.419787
420.036830.31030.378608
43-0.079387-0.66890.252856
440.0396910.33440.369516
45-0.084049-0.70820.240566
46-0.006011-0.05070.479872
470.0870740.73370.232773
480.0194220.16360.435236

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.184616 & -1.5556 & 0.062125 \tabularnewline
2 & -0.000217 & -0.0018 & 0.499274 \tabularnewline
3 & -0.140715 & -1.1857 & 0.11985 \tabularnewline
4 & 0.011878 & 0.1001 & 0.460278 \tabularnewline
5 & -0.023969 & -0.202 & 0.420261 \tabularnewline
6 & -0.011252 & -0.0948 & 0.462365 \tabularnewline
7 & -0.013584 & -0.1145 & 0.454599 \tabularnewline
8 & -0.032673 & -0.2753 & 0.39194 \tabularnewline
9 & -0.10785 & -0.9088 & 0.183277 \tabularnewline
10 & -0.102657 & -0.865 & 0.194975 \tabularnewline
11 & 0.193917 & 1.634 & 0.053345 \tabularnewline
12 & 0.101983 & 0.8593 & 0.196528 \tabularnewline
13 & 0.026806 & 0.2259 & 0.410976 \tabularnewline
14 & -0.048371 & -0.4076 & 0.342404 \tabularnewline
15 & -0.074984 & -0.6318 & 0.264764 \tabularnewline
16 & 0.012288 & 0.1035 & 0.458914 \tabularnewline
17 & 0.032528 & 0.2741 & 0.392406 \tabularnewline
18 & -0.220145 & -1.855 & 0.033876 \tabularnewline
19 & 0.205362 & 1.7304 & 0.043951 \tabularnewline
20 & -0.032263 & -0.2719 & 0.393261 \tabularnewline
21 & -0.083158 & -0.7007 & 0.242889 \tabularnewline
22 & -0.036926 & -0.3111 & 0.378301 \tabularnewline
23 & 0.106433 & 0.8968 & 0.186422 \tabularnewline
24 & 0.087344 & 0.736 & 0.232085 \tabularnewline
25 & 0.059021 & 0.4973 & 0.31025 \tabularnewline
26 & -0.105759 & -0.8911 & 0.187932 \tabularnewline
27 & 0.061882 & 0.5214 & 0.301845 \tabularnewline
28 & -0.013295 & -0.112 & 0.455561 \tabularnewline
29 & -0.056666 & -0.4775 & 0.317246 \tabularnewline
30 & 0.004615 & 0.0389 & 0.484546 \tabularnewline
31 & 0.09941 & 0.8376 & 0.20252 \tabularnewline
32 & -0.138215 & -1.1646 & 0.124035 \tabularnewline
33 & -0.019137 & -0.1613 & 0.436175 \tabularnewline
34 & -0.070032 & -0.5901 & 0.278497 \tabularnewline
35 & 0.121891 & 1.0271 & 0.153937 \tabularnewline
36 & 0.07681 & 0.6472 & 0.259792 \tabularnewline
37 & -0.071213 & -0.6 & 0.275193 \tabularnewline
38 & -0.000698 & -0.0059 & 0.49766 \tabularnewline
39 & -0.075875 & -0.6393 & 0.262331 \tabularnewline
40 & -0.022119 & -0.1864 & 0.42634 \tabularnewline
41 & 0.024113 & 0.2032 & 0.419787 \tabularnewline
42 & 0.03683 & 0.3103 & 0.378608 \tabularnewline
43 & -0.079387 & -0.6689 & 0.252856 \tabularnewline
44 & 0.039691 & 0.3344 & 0.369516 \tabularnewline
45 & -0.084049 & -0.7082 & 0.240566 \tabularnewline
46 & -0.006011 & -0.0507 & 0.479872 \tabularnewline
47 & 0.087074 & 0.7337 & 0.232773 \tabularnewline
48 & 0.019422 & 0.1636 & 0.435236 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207807&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]-0.184616[/C][C]-1.5556[/C][C]0.062125[/C][/ROW]
[ROW][C]2[/C][C]-0.000217[/C][C]-0.0018[/C][C]0.499274[/C][/ROW]
[ROW][C]3[/C][C]-0.140715[/C][C]-1.1857[/C][C]0.11985[/C][/ROW]
[ROW][C]4[/C][C]0.011878[/C][C]0.1001[/C][C]0.460278[/C][/ROW]
[ROW][C]5[/C][C]-0.023969[/C][C]-0.202[/C][C]0.420261[/C][/ROW]
[ROW][C]6[/C][C]-0.011252[/C][C]-0.0948[/C][C]0.462365[/C][/ROW]
[ROW][C]7[/C][C]-0.013584[/C][C]-0.1145[/C][C]0.454599[/C][/ROW]
[ROW][C]8[/C][C]-0.032673[/C][C]-0.2753[/C][C]0.39194[/C][/ROW]
[ROW][C]9[/C][C]-0.10785[/C][C]-0.9088[/C][C]0.183277[/C][/ROW]
[ROW][C]10[/C][C]-0.102657[/C][C]-0.865[/C][C]0.194975[/C][/ROW]
[ROW][C]11[/C][C]0.193917[/C][C]1.634[/C][C]0.053345[/C][/ROW]
[ROW][C]12[/C][C]0.101983[/C][C]0.8593[/C][C]0.196528[/C][/ROW]
[ROW][C]13[/C][C]0.026806[/C][C]0.2259[/C][C]0.410976[/C][/ROW]
[ROW][C]14[/C][C]-0.048371[/C][C]-0.4076[/C][C]0.342404[/C][/ROW]
[ROW][C]15[/C][C]-0.074984[/C][C]-0.6318[/C][C]0.264764[/C][/ROW]
[ROW][C]16[/C][C]0.012288[/C][C]0.1035[/C][C]0.458914[/C][/ROW]
[ROW][C]17[/C][C]0.032528[/C][C]0.2741[/C][C]0.392406[/C][/ROW]
[ROW][C]18[/C][C]-0.220145[/C][C]-1.855[/C][C]0.033876[/C][/ROW]
[ROW][C]19[/C][C]0.205362[/C][C]1.7304[/C][C]0.043951[/C][/ROW]
[ROW][C]20[/C][C]-0.032263[/C][C]-0.2719[/C][C]0.393261[/C][/ROW]
[ROW][C]21[/C][C]-0.083158[/C][C]-0.7007[/C][C]0.242889[/C][/ROW]
[ROW][C]22[/C][C]-0.036926[/C][C]-0.3111[/C][C]0.378301[/C][/ROW]
[ROW][C]23[/C][C]0.106433[/C][C]0.8968[/C][C]0.186422[/C][/ROW]
[ROW][C]24[/C][C]0.087344[/C][C]0.736[/C][C]0.232085[/C][/ROW]
[ROW][C]25[/C][C]0.059021[/C][C]0.4973[/C][C]0.31025[/C][/ROW]
[ROW][C]26[/C][C]-0.105759[/C][C]-0.8911[/C][C]0.187932[/C][/ROW]
[ROW][C]27[/C][C]0.061882[/C][C]0.5214[/C][C]0.301845[/C][/ROW]
[ROW][C]28[/C][C]-0.013295[/C][C]-0.112[/C][C]0.455561[/C][/ROW]
[ROW][C]29[/C][C]-0.056666[/C][C]-0.4775[/C][C]0.317246[/C][/ROW]
[ROW][C]30[/C][C]0.004615[/C][C]0.0389[/C][C]0.484546[/C][/ROW]
[ROW][C]31[/C][C]0.09941[/C][C]0.8376[/C][C]0.20252[/C][/ROW]
[ROW][C]32[/C][C]-0.138215[/C][C]-1.1646[/C][C]0.124035[/C][/ROW]
[ROW][C]33[/C][C]-0.019137[/C][C]-0.1613[/C][C]0.436175[/C][/ROW]
[ROW][C]34[/C][C]-0.070032[/C][C]-0.5901[/C][C]0.278497[/C][/ROW]
[ROW][C]35[/C][C]0.121891[/C][C]1.0271[/C][C]0.153937[/C][/ROW]
[ROW][C]36[/C][C]0.07681[/C][C]0.6472[/C][C]0.259792[/C][/ROW]
[ROW][C]37[/C][C]-0.071213[/C][C]-0.6[/C][C]0.275193[/C][/ROW]
[ROW][C]38[/C][C]-0.000698[/C][C]-0.0059[/C][C]0.49766[/C][/ROW]
[ROW][C]39[/C][C]-0.075875[/C][C]-0.6393[/C][C]0.262331[/C][/ROW]
[ROW][C]40[/C][C]-0.022119[/C][C]-0.1864[/C][C]0.42634[/C][/ROW]
[ROW][C]41[/C][C]0.024113[/C][C]0.2032[/C][C]0.419787[/C][/ROW]
[ROW][C]42[/C][C]0.03683[/C][C]0.3103[/C][C]0.378608[/C][/ROW]
[ROW][C]43[/C][C]-0.079387[/C][C]-0.6689[/C][C]0.252856[/C][/ROW]
[ROW][C]44[/C][C]0.039691[/C][C]0.3344[/C][C]0.369516[/C][/ROW]
[ROW][C]45[/C][C]-0.084049[/C][C]-0.7082[/C][C]0.240566[/C][/ROW]
[ROW][C]46[/C][C]-0.006011[/C][C]-0.0507[/C][C]0.479872[/C][/ROW]
[ROW][C]47[/C][C]0.087074[/C][C]0.7337[/C][C]0.232773[/C][/ROW]
[ROW][C]48[/C][C]0.019422[/C][C]0.1636[/C][C]0.435236[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207807&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207807&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
1-0.184616-1.55560.062125
2-0.000217-0.00180.499274
3-0.140715-1.18570.11985
40.0118780.10010.460278
5-0.023969-0.2020.420261
6-0.011252-0.09480.462365
7-0.013584-0.11450.454599
8-0.032673-0.27530.39194
9-0.10785-0.90880.183277
10-0.102657-0.8650.194975
110.1939171.6340.053345
120.1019830.85930.196528
130.0268060.22590.410976
14-0.048371-0.40760.342404
15-0.074984-0.63180.264764
160.0122880.10350.458914
170.0325280.27410.392406
18-0.220145-1.8550.033876
190.2053621.73040.043951
20-0.032263-0.27190.393261
21-0.083158-0.70070.242889
22-0.036926-0.31110.378301
230.1064330.89680.186422
240.0873440.7360.232085
250.0590210.49730.31025
26-0.105759-0.89110.187932
270.0618820.52140.301845
28-0.013295-0.1120.455561
29-0.056666-0.47750.317246
300.0046150.03890.484546
310.099410.83760.20252
32-0.138215-1.16460.124035
33-0.019137-0.16130.436175
34-0.070032-0.59010.278497
350.1218911.02710.153937
360.076810.64720.259792
37-0.071213-0.60.275193
38-0.000698-0.00590.49766
39-0.075875-0.63930.262331
40-0.022119-0.18640.42634
410.0241130.20320.419787
420.036830.31030.378608
43-0.079387-0.66890.252856
440.0396910.33440.369516
45-0.084049-0.70820.240566
46-0.006011-0.05070.479872
470.0870740.73370.232773
480.0194220.16360.435236






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.184616-1.55560.062125
2-0.03551-0.29920.382826
3-0.152703-1.28670.10119
4-0.046689-0.39340.347598
5-0.042263-0.35610.361407
6-0.049328-0.41560.339461
7-0.035397-0.29830.383189
8-0.057899-0.48790.313574
9-0.148176-1.24860.107965
10-0.185755-1.56520.060992
110.1110480.93570.176298
120.1228891.03550.151978
130.0432430.36440.358331
140.0047650.04010.484044
15-0.071439-0.6020.274559
16-0.017193-0.14490.442611
170.0293390.24720.402727
18-0.269236-2.26860.013167
190.1157390.97520.166378
200.0782270.65920.255966
21-0.084821-0.71470.238563
22-0.039658-0.33420.369619
230.0433660.36540.357947
240.0468850.39510.346991
250.0849370.71570.238266
26-0.05893-0.49660.310519
270.0425950.35890.360363
280.0361310.30440.380839
290.0404530.34090.367107
30-0.020385-0.17180.432056
310.0817560.68890.246569
32-0.098207-0.82750.205361
33-0.029371-0.24750.402623
34-0.02862-0.24120.405065
350.0446710.37640.35387
36-0.013253-0.11170.455699
370.0271240.22850.409938
38-0.015126-0.12750.449469
39-0.132792-1.11890.133471
40-0.062073-0.5230.301288
410.0446820.37650.353834
42-0.028283-0.23830.406162
43-0.094583-0.7970.214061
44-0.005572-0.0470.481342
450.028820.24280.404415
46-0.080123-0.67510.250894
47-0.040602-0.34210.366637
48-0.036835-0.31040.378591

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.184616 & -1.5556 & 0.062125 \tabularnewline
2 & -0.03551 & -0.2992 & 0.382826 \tabularnewline
3 & -0.152703 & -1.2867 & 0.10119 \tabularnewline
4 & -0.046689 & -0.3934 & 0.347598 \tabularnewline
5 & -0.042263 & -0.3561 & 0.361407 \tabularnewline
6 & -0.049328 & -0.4156 & 0.339461 \tabularnewline
7 & -0.035397 & -0.2983 & 0.383189 \tabularnewline
8 & -0.057899 & -0.4879 & 0.313574 \tabularnewline
9 & -0.148176 & -1.2486 & 0.107965 \tabularnewline
10 & -0.185755 & -1.5652 & 0.060992 \tabularnewline
11 & 0.111048 & 0.9357 & 0.176298 \tabularnewline
12 & 0.122889 & 1.0355 & 0.151978 \tabularnewline
13 & 0.043243 & 0.3644 & 0.358331 \tabularnewline
14 & 0.004765 & 0.0401 & 0.484044 \tabularnewline
15 & -0.071439 & -0.602 & 0.274559 \tabularnewline
16 & -0.017193 & -0.1449 & 0.442611 \tabularnewline
17 & 0.029339 & 0.2472 & 0.402727 \tabularnewline
18 & -0.269236 & -2.2686 & 0.013167 \tabularnewline
19 & 0.115739 & 0.9752 & 0.166378 \tabularnewline
20 & 0.078227 & 0.6592 & 0.255966 \tabularnewline
21 & -0.084821 & -0.7147 & 0.238563 \tabularnewline
22 & -0.039658 & -0.3342 & 0.369619 \tabularnewline
23 & 0.043366 & 0.3654 & 0.357947 \tabularnewline
24 & 0.046885 & 0.3951 & 0.346991 \tabularnewline
25 & 0.084937 & 0.7157 & 0.238266 \tabularnewline
26 & -0.05893 & -0.4966 & 0.310519 \tabularnewline
27 & 0.042595 & 0.3589 & 0.360363 \tabularnewline
28 & 0.036131 & 0.3044 & 0.380839 \tabularnewline
29 & 0.040453 & 0.3409 & 0.367107 \tabularnewline
30 & -0.020385 & -0.1718 & 0.432056 \tabularnewline
31 & 0.081756 & 0.6889 & 0.246569 \tabularnewline
32 & -0.098207 & -0.8275 & 0.205361 \tabularnewline
33 & -0.029371 & -0.2475 & 0.402623 \tabularnewline
34 & -0.02862 & -0.2412 & 0.405065 \tabularnewline
35 & 0.044671 & 0.3764 & 0.35387 \tabularnewline
36 & -0.013253 & -0.1117 & 0.455699 \tabularnewline
37 & 0.027124 & 0.2285 & 0.409938 \tabularnewline
38 & -0.015126 & -0.1275 & 0.449469 \tabularnewline
39 & -0.132792 & -1.1189 & 0.133471 \tabularnewline
40 & -0.062073 & -0.523 & 0.301288 \tabularnewline
41 & 0.044682 & 0.3765 & 0.353834 \tabularnewline
42 & -0.028283 & -0.2383 & 0.406162 \tabularnewline
43 & -0.094583 & -0.797 & 0.214061 \tabularnewline
44 & -0.005572 & -0.047 & 0.481342 \tabularnewline
45 & 0.02882 & 0.2428 & 0.404415 \tabularnewline
46 & -0.080123 & -0.6751 & 0.250894 \tabularnewline
47 & -0.040602 & -0.3421 & 0.366637 \tabularnewline
48 & -0.036835 & -0.3104 & 0.378591 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=207807&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]-0.184616[/C][C]-1.5556[/C][C]0.062125[/C][/ROW]
[ROW][C]2[/C][C]-0.03551[/C][C]-0.2992[/C][C]0.382826[/C][/ROW]
[ROW][C]3[/C][C]-0.152703[/C][C]-1.2867[/C][C]0.10119[/C][/ROW]
[ROW][C]4[/C][C]-0.046689[/C][C]-0.3934[/C][C]0.347598[/C][/ROW]
[ROW][C]5[/C][C]-0.042263[/C][C]-0.3561[/C][C]0.361407[/C][/ROW]
[ROW][C]6[/C][C]-0.049328[/C][C]-0.4156[/C][C]0.339461[/C][/ROW]
[ROW][C]7[/C][C]-0.035397[/C][C]-0.2983[/C][C]0.383189[/C][/ROW]
[ROW][C]8[/C][C]-0.057899[/C][C]-0.4879[/C][C]0.313574[/C][/ROW]
[ROW][C]9[/C][C]-0.148176[/C][C]-1.2486[/C][C]0.107965[/C][/ROW]
[ROW][C]10[/C][C]-0.185755[/C][C]-1.5652[/C][C]0.060992[/C][/ROW]
[ROW][C]11[/C][C]0.111048[/C][C]0.9357[/C][C]0.176298[/C][/ROW]
[ROW][C]12[/C][C]0.122889[/C][C]1.0355[/C][C]0.151978[/C][/ROW]
[ROW][C]13[/C][C]0.043243[/C][C]0.3644[/C][C]0.358331[/C][/ROW]
[ROW][C]14[/C][C]0.004765[/C][C]0.0401[/C][C]0.484044[/C][/ROW]
[ROW][C]15[/C][C]-0.071439[/C][C]-0.602[/C][C]0.274559[/C][/ROW]
[ROW][C]16[/C][C]-0.017193[/C][C]-0.1449[/C][C]0.442611[/C][/ROW]
[ROW][C]17[/C][C]0.029339[/C][C]0.2472[/C][C]0.402727[/C][/ROW]
[ROW][C]18[/C][C]-0.269236[/C][C]-2.2686[/C][C]0.013167[/C][/ROW]
[ROW][C]19[/C][C]0.115739[/C][C]0.9752[/C][C]0.166378[/C][/ROW]
[ROW][C]20[/C][C]0.078227[/C][C]0.6592[/C][C]0.255966[/C][/ROW]
[ROW][C]21[/C][C]-0.084821[/C][C]-0.7147[/C][C]0.238563[/C][/ROW]
[ROW][C]22[/C][C]-0.039658[/C][C]-0.3342[/C][C]0.369619[/C][/ROW]
[ROW][C]23[/C][C]0.043366[/C][C]0.3654[/C][C]0.357947[/C][/ROW]
[ROW][C]24[/C][C]0.046885[/C][C]0.3951[/C][C]0.346991[/C][/ROW]
[ROW][C]25[/C][C]0.084937[/C][C]0.7157[/C][C]0.238266[/C][/ROW]
[ROW][C]26[/C][C]-0.05893[/C][C]-0.4966[/C][C]0.310519[/C][/ROW]
[ROW][C]27[/C][C]0.042595[/C][C]0.3589[/C][C]0.360363[/C][/ROW]
[ROW][C]28[/C][C]0.036131[/C][C]0.3044[/C][C]0.380839[/C][/ROW]
[ROW][C]29[/C][C]0.040453[/C][C]0.3409[/C][C]0.367107[/C][/ROW]
[ROW][C]30[/C][C]-0.020385[/C][C]-0.1718[/C][C]0.432056[/C][/ROW]
[ROW][C]31[/C][C]0.081756[/C][C]0.6889[/C][C]0.246569[/C][/ROW]
[ROW][C]32[/C][C]-0.098207[/C][C]-0.8275[/C][C]0.205361[/C][/ROW]
[ROW][C]33[/C][C]-0.029371[/C][C]-0.2475[/C][C]0.402623[/C][/ROW]
[ROW][C]34[/C][C]-0.02862[/C][C]-0.2412[/C][C]0.405065[/C][/ROW]
[ROW][C]35[/C][C]0.044671[/C][C]0.3764[/C][C]0.35387[/C][/ROW]
[ROW][C]36[/C][C]-0.013253[/C][C]-0.1117[/C][C]0.455699[/C][/ROW]
[ROW][C]37[/C][C]0.027124[/C][C]0.2285[/C][C]0.409938[/C][/ROW]
[ROW][C]38[/C][C]-0.015126[/C][C]-0.1275[/C][C]0.449469[/C][/ROW]
[ROW][C]39[/C][C]-0.132792[/C][C]-1.1189[/C][C]0.133471[/C][/ROW]
[ROW][C]40[/C][C]-0.062073[/C][C]-0.523[/C][C]0.301288[/C][/ROW]
[ROW][C]41[/C][C]0.044682[/C][C]0.3765[/C][C]0.353834[/C][/ROW]
[ROW][C]42[/C][C]-0.028283[/C][C]-0.2383[/C][C]0.406162[/C][/ROW]
[ROW][C]43[/C][C]-0.094583[/C][C]-0.797[/C][C]0.214061[/C][/ROW]
[ROW][C]44[/C][C]-0.005572[/C][C]-0.047[/C][C]0.481342[/C][/ROW]
[ROW][C]45[/C][C]0.02882[/C][C]0.2428[/C][C]0.404415[/C][/ROW]
[ROW][C]46[/C][C]-0.080123[/C][C]-0.6751[/C][C]0.250894[/C][/ROW]
[ROW][C]47[/C][C]-0.040602[/C][C]-0.3421[/C][C]0.366637[/C][/ROW]
[ROW][C]48[/C][C]-0.036835[/C][C]-0.3104[/C][C]0.378591[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=207807&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=207807&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
1-0.184616-1.55560.062125
2-0.03551-0.29920.382826
3-0.152703-1.28670.10119
4-0.046689-0.39340.347598
5-0.042263-0.35610.361407
6-0.049328-0.41560.339461
7-0.035397-0.29830.383189
8-0.057899-0.48790.313574
9-0.148176-1.24860.107965
10-0.185755-1.56520.060992
110.1110480.93570.176298
120.1228891.03550.151978
130.0432430.36440.358331
140.0047650.04010.484044
15-0.071439-0.6020.274559
16-0.017193-0.14490.442611
170.0293390.24720.402727
18-0.269236-2.26860.013167
190.1157390.97520.166378
200.0782270.65920.255966
21-0.084821-0.71470.238563
22-0.039658-0.33420.369619
230.0433660.36540.357947
240.0468850.39510.346991
250.0849370.71570.238266
26-0.05893-0.49660.310519
270.0425950.35890.360363
280.0361310.30440.380839
290.0404530.34090.367107
30-0.020385-0.17180.432056
310.0817560.68890.246569
32-0.098207-0.82750.205361
33-0.029371-0.24750.402623
34-0.02862-0.24120.405065
350.0446710.37640.35387
36-0.013253-0.11170.455699
370.0271240.22850.409938
38-0.015126-0.12750.449469
39-0.132792-1.11890.133471
40-0.062073-0.5230.301288
410.0446820.37650.353834
42-0.028283-0.23830.406162
43-0.094583-0.7970.214061
44-0.005572-0.0470.481342
450.028820.24280.404415
46-0.080123-0.67510.250894
47-0.040602-0.34210.366637
48-0.036835-0.31040.378591


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)
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')