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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, 20 Oct 2016 15:44:55 +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/20/t1476974733opdvapchuoycvms.htm/, Retrieved Sat, 04 May 2024 22:26:13 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sat, 04 May 2024 22:26:13 +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 
99.6
96.1
109
99.5
104.6
99.9
94.1
105.3
110.4
110.5
110
108.5
101.5
99
106.2
97.6
103.7
103.4
99.9
105
103.4
117.8
110.6
102
105.1
98.5
104.4
103.9
105.8
100.3
106.3
101.4
104.3
114.6
105
103.4
102.9
96.4
102.6
104.7
100.8
102.1
101.1
98.1
109.2
114.4
104
107.2
101.3
98.1
109.6
105.9
99.5
109.9
105.3
102.5
111.9
118
112.1
113.8

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'George Udny Yule' @ yule.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 & 'George Udny Yule' @ yule.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]'George Udny Yule' @ yule.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'George Udny Yule' @ yule.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.383616-2.94660.002297
2-0.142984-1.09830.138273
30.2452591.88390.032256
4-0.372907-2.86440.00289
50.055060.42290.336944
60.2426611.86390.033656
7-0.043033-0.33050.371079
8-0.191638-1.4720.073168
90.155771.19650.118145
10-0.225562-1.73260.044198
11-0.022424-0.17220.43192
120.4709863.61770.000309
13-0.280906-2.15770.017518
140.1642771.26180.105987
15-0.094324-0.72450.235806
16-0.263201-2.02170.023876
170.2712872.08380.02076
18-0.082595-0.63440.264129
190.0715190.54930.292421
20-0.00317-0.02430.490329
21-0.127949-0.98280.16486
22-0.067268-0.51670.30365
230.0950540.73010.234102
240.1334331.02490.154793
25-0.061891-0.47540.31813
260.1107360.85060.19922
27-0.206141-1.58340.059339
280.0156740.12040.452291
290.0736520.56570.286861
30-0.088583-0.68040.24945
310.1604281.23230.111368
32-0.109451-0.84070.201952
33-0.068169-0.52360.301255
340.0477890.36710.357437
35-0.08027-0.61660.269947
360.1288010.98930.163268
370.1085470.83380.203888
38-0.133371-1.02440.154905
39-0.039104-0.30040.382478
400.0834120.64070.262099
41-0.118728-0.9120.182748
420.0397830.30560.380502
430.165931.27450.103735
44-0.195552-1.50210.069207
450.0152940.11750.453441
460.0711930.54680.293275
47-0.104791-0.80490.212051
480.0637740.48990.313027

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.383616 & -2.9466 & 0.002297 \tabularnewline
2 & -0.142984 & -1.0983 & 0.138273 \tabularnewline
3 & 0.245259 & 1.8839 & 0.032256 \tabularnewline
4 & -0.372907 & -2.8644 & 0.00289 \tabularnewline
5 & 0.05506 & 0.4229 & 0.336944 \tabularnewline
6 & 0.242661 & 1.8639 & 0.033656 \tabularnewline
7 & -0.043033 & -0.3305 & 0.371079 \tabularnewline
8 & -0.191638 & -1.472 & 0.073168 \tabularnewline
9 & 0.15577 & 1.1965 & 0.118145 \tabularnewline
10 & -0.225562 & -1.7326 & 0.044198 \tabularnewline
11 & -0.022424 & -0.1722 & 0.43192 \tabularnewline
12 & 0.470986 & 3.6177 & 0.000309 \tabularnewline
13 & -0.280906 & -2.1577 & 0.017518 \tabularnewline
14 & 0.164277 & 1.2618 & 0.105987 \tabularnewline
15 & -0.094324 & -0.7245 & 0.235806 \tabularnewline
16 & -0.263201 & -2.0217 & 0.023876 \tabularnewline
17 & 0.271287 & 2.0838 & 0.02076 \tabularnewline
18 & -0.082595 & -0.6344 & 0.264129 \tabularnewline
19 & 0.071519 & 0.5493 & 0.292421 \tabularnewline
20 & -0.00317 & -0.0243 & 0.490329 \tabularnewline
21 & -0.127949 & -0.9828 & 0.16486 \tabularnewline
22 & -0.067268 & -0.5167 & 0.30365 \tabularnewline
23 & 0.095054 & 0.7301 & 0.234102 \tabularnewline
24 & 0.133433 & 1.0249 & 0.154793 \tabularnewline
25 & -0.061891 & -0.4754 & 0.31813 \tabularnewline
26 & 0.110736 & 0.8506 & 0.19922 \tabularnewline
27 & -0.206141 & -1.5834 & 0.059339 \tabularnewline
28 & 0.015674 & 0.1204 & 0.452291 \tabularnewline
29 & 0.073652 & 0.5657 & 0.286861 \tabularnewline
30 & -0.088583 & -0.6804 & 0.24945 \tabularnewline
31 & 0.160428 & 1.2323 & 0.111368 \tabularnewline
32 & -0.109451 & -0.8407 & 0.201952 \tabularnewline
33 & -0.068169 & -0.5236 & 0.301255 \tabularnewline
34 & 0.047789 & 0.3671 & 0.357437 \tabularnewline
35 & -0.08027 & -0.6166 & 0.269947 \tabularnewline
36 & 0.128801 & 0.9893 & 0.163268 \tabularnewline
37 & 0.108547 & 0.8338 & 0.203888 \tabularnewline
38 & -0.133371 & -1.0244 & 0.154905 \tabularnewline
39 & -0.039104 & -0.3004 & 0.382478 \tabularnewline
40 & 0.083412 & 0.6407 & 0.262099 \tabularnewline
41 & -0.118728 & -0.912 & 0.182748 \tabularnewline
42 & 0.039783 & 0.3056 & 0.380502 \tabularnewline
43 & 0.16593 & 1.2745 & 0.103735 \tabularnewline
44 & -0.195552 & -1.5021 & 0.069207 \tabularnewline
45 & 0.015294 & 0.1175 & 0.453441 \tabularnewline
46 & 0.071193 & 0.5468 & 0.293275 \tabularnewline
47 & -0.104791 & -0.8049 & 0.212051 \tabularnewline
48 & 0.063774 & 0.4899 & 0.313027 \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]-0.383616[/C][C]-2.9466[/C][C]0.002297[/C][/ROW]
[ROW][C]2[/C][C]-0.142984[/C][C]-1.0983[/C][C]0.138273[/C][/ROW]
[ROW][C]3[/C][C]0.245259[/C][C]1.8839[/C][C]0.032256[/C][/ROW]
[ROW][C]4[/C][C]-0.372907[/C][C]-2.8644[/C][C]0.00289[/C][/ROW]
[ROW][C]5[/C][C]0.05506[/C][C]0.4229[/C][C]0.336944[/C][/ROW]
[ROW][C]6[/C][C]0.242661[/C][C]1.8639[/C][C]0.033656[/C][/ROW]
[ROW][C]7[/C][C]-0.043033[/C][C]-0.3305[/C][C]0.371079[/C][/ROW]
[ROW][C]8[/C][C]-0.191638[/C][C]-1.472[/C][C]0.073168[/C][/ROW]
[ROW][C]9[/C][C]0.15577[/C][C]1.1965[/C][C]0.118145[/C][/ROW]
[ROW][C]10[/C][C]-0.225562[/C][C]-1.7326[/C][C]0.044198[/C][/ROW]
[ROW][C]11[/C][C]-0.022424[/C][C]-0.1722[/C][C]0.43192[/C][/ROW]
[ROW][C]12[/C][C]0.470986[/C][C]3.6177[/C][C]0.000309[/C][/ROW]
[ROW][C]13[/C][C]-0.280906[/C][C]-2.1577[/C][C]0.017518[/C][/ROW]
[ROW][C]14[/C][C]0.164277[/C][C]1.2618[/C][C]0.105987[/C][/ROW]
[ROW][C]15[/C][C]-0.094324[/C][C]-0.7245[/C][C]0.235806[/C][/ROW]
[ROW][C]16[/C][C]-0.263201[/C][C]-2.0217[/C][C]0.023876[/C][/ROW]
[ROW][C]17[/C][C]0.271287[/C][C]2.0838[/C][C]0.02076[/C][/ROW]
[ROW][C]18[/C][C]-0.082595[/C][C]-0.6344[/C][C]0.264129[/C][/ROW]
[ROW][C]19[/C][C]0.071519[/C][C]0.5493[/C][C]0.292421[/C][/ROW]
[ROW][C]20[/C][C]-0.00317[/C][C]-0.0243[/C][C]0.490329[/C][/ROW]
[ROW][C]21[/C][C]-0.127949[/C][C]-0.9828[/C][C]0.16486[/C][/ROW]
[ROW][C]22[/C][C]-0.067268[/C][C]-0.5167[/C][C]0.30365[/C][/ROW]
[ROW][C]23[/C][C]0.095054[/C][C]0.7301[/C][C]0.234102[/C][/ROW]
[ROW][C]24[/C][C]0.133433[/C][C]1.0249[/C][C]0.154793[/C][/ROW]
[ROW][C]25[/C][C]-0.061891[/C][C]-0.4754[/C][C]0.31813[/C][/ROW]
[ROW][C]26[/C][C]0.110736[/C][C]0.8506[/C][C]0.19922[/C][/ROW]
[ROW][C]27[/C][C]-0.206141[/C][C]-1.5834[/C][C]0.059339[/C][/ROW]
[ROW][C]28[/C][C]0.015674[/C][C]0.1204[/C][C]0.452291[/C][/ROW]
[ROW][C]29[/C][C]0.073652[/C][C]0.5657[/C][C]0.286861[/C][/ROW]
[ROW][C]30[/C][C]-0.088583[/C][C]-0.6804[/C][C]0.24945[/C][/ROW]
[ROW][C]31[/C][C]0.160428[/C][C]1.2323[/C][C]0.111368[/C][/ROW]
[ROW][C]32[/C][C]-0.109451[/C][C]-0.8407[/C][C]0.201952[/C][/ROW]
[ROW][C]33[/C][C]-0.068169[/C][C]-0.5236[/C][C]0.301255[/C][/ROW]
[ROW][C]34[/C][C]0.047789[/C][C]0.3671[/C][C]0.357437[/C][/ROW]
[ROW][C]35[/C][C]-0.08027[/C][C]-0.6166[/C][C]0.269947[/C][/ROW]
[ROW][C]36[/C][C]0.128801[/C][C]0.9893[/C][C]0.163268[/C][/ROW]
[ROW][C]37[/C][C]0.108547[/C][C]0.8338[/C][C]0.203888[/C][/ROW]
[ROW][C]38[/C][C]-0.133371[/C][C]-1.0244[/C][C]0.154905[/C][/ROW]
[ROW][C]39[/C][C]-0.039104[/C][C]-0.3004[/C][C]0.382478[/C][/ROW]
[ROW][C]40[/C][C]0.083412[/C][C]0.6407[/C][C]0.262099[/C][/ROW]
[ROW][C]41[/C][C]-0.118728[/C][C]-0.912[/C][C]0.182748[/C][/ROW]
[ROW][C]42[/C][C]0.039783[/C][C]0.3056[/C][C]0.380502[/C][/ROW]
[ROW][C]43[/C][C]0.16593[/C][C]1.2745[/C][C]0.103735[/C][/ROW]
[ROW][C]44[/C][C]-0.195552[/C][C]-1.5021[/C][C]0.069207[/C][/ROW]
[ROW][C]45[/C][C]0.015294[/C][C]0.1175[/C][C]0.453441[/C][/ROW]
[ROW][C]46[/C][C]0.071193[/C][C]0.5468[/C][C]0.293275[/C][/ROW]
[ROW][C]47[/C][C]-0.104791[/C][C]-0.8049[/C][C]0.212051[/C][/ROW]
[ROW][C]48[/C][C]0.063774[/C][C]0.4899[/C][C]0.313027[/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
1-0.383616-2.94660.002297
2-0.142984-1.09830.138273
30.2452591.88390.032256
4-0.372907-2.86440.00289
50.055060.42290.336944
60.2426611.86390.033656
7-0.043033-0.33050.371079
8-0.191638-1.4720.073168
90.155771.19650.118145
10-0.225562-1.73260.044198
11-0.022424-0.17220.43192
120.4709863.61770.000309
13-0.280906-2.15770.017518
140.1642771.26180.105987
15-0.094324-0.72450.235806
16-0.263201-2.02170.023876
170.2712872.08380.02076
18-0.082595-0.63440.264129
190.0715190.54930.292421
20-0.00317-0.02430.490329
21-0.127949-0.98280.16486
22-0.067268-0.51670.30365
230.0950540.73010.234102
240.1334331.02490.154793
25-0.061891-0.47540.31813
260.1107360.85060.19922
27-0.206141-1.58340.059339
280.0156740.12040.452291
290.0736520.56570.286861
30-0.088583-0.68040.24945
310.1604281.23230.111368
32-0.109451-0.84070.201952
33-0.068169-0.52360.301255
340.0477890.36710.357437
35-0.08027-0.61660.269947
360.1288010.98930.163268
370.1085470.83380.203888
38-0.133371-1.02440.154905
39-0.039104-0.30040.382478
400.0834120.64070.262099
41-0.118728-0.9120.182748
420.0397830.30560.380502
430.165931.27450.103735
44-0.195552-1.50210.069207
450.0152940.11750.453441
460.0711930.54680.293275
47-0.104791-0.80490.212051
480.0637740.48990.313027






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.383616-2.94660.002297
2-0.340211-2.61320.005681
30.0546820.420.337998
4-0.365784-2.80960.003359
5-0.270454-2.07740.021063
6-0.020796-0.15970.436818
70.1770531.360.089507
8-0.254659-1.95610.027598
9-0.104793-0.80490.212047
10-0.296577-2.2780.013181
11-0.233617-1.79440.038933
120.2003661.5390.064571
130.0279670.21480.415326
140.3045762.33950.011357
15-0.047419-0.36420.358495
16-0.054169-0.41610.339431
170.1429791.09820.138281
18-0.06653-0.5110.305619
190.0616720.47370.318727
20-0.005926-0.04550.481925
21-0.082324-0.63230.264802
220.0018220.0140.494441
23-0.0628-0.48240.315661
240.0071930.05520.478063
250.0296510.22780.410312
26-0.151703-1.16530.124302
27-0.045253-0.34760.364691
280.094680.72720.234975
29-0.057351-0.44050.330584
300.0197950.1520.439835
31-0.155721-1.19610.118218
32-0.040137-0.30830.379472
330.0104910.08060.468022
34-0.022835-0.17540.430682
35-0.108025-0.82980.205011
36-0.114524-0.87970.191303
370.0724230.55630.290059
38-0.042051-0.3230.37392
39-0.048166-0.370.356364
40-0.003778-0.0290.488475
410.0022130.0170.493249
42-0.100609-0.77280.221365
430.0450960.34640.365141
440.0274140.21060.416974
45-0.02815-0.21620.41478
460.0103960.07990.468312
470.067820.52090.30218
48-0.078356-0.60190.274786

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.383616 & -2.9466 & 0.002297 \tabularnewline
2 & -0.340211 & -2.6132 & 0.005681 \tabularnewline
3 & 0.054682 & 0.42 & 0.337998 \tabularnewline
4 & -0.365784 & -2.8096 & 0.003359 \tabularnewline
5 & -0.270454 & -2.0774 & 0.021063 \tabularnewline
6 & -0.020796 & -0.1597 & 0.436818 \tabularnewline
7 & 0.177053 & 1.36 & 0.089507 \tabularnewline
8 & -0.254659 & -1.9561 & 0.027598 \tabularnewline
9 & -0.104793 & -0.8049 & 0.212047 \tabularnewline
10 & -0.296577 & -2.278 & 0.013181 \tabularnewline
11 & -0.233617 & -1.7944 & 0.038933 \tabularnewline
12 & 0.200366 & 1.539 & 0.064571 \tabularnewline
13 & 0.027967 & 0.2148 & 0.415326 \tabularnewline
14 & 0.304576 & 2.3395 & 0.011357 \tabularnewline
15 & -0.047419 & -0.3642 & 0.358495 \tabularnewline
16 & -0.054169 & -0.4161 & 0.339431 \tabularnewline
17 & 0.142979 & 1.0982 & 0.138281 \tabularnewline
18 & -0.06653 & -0.511 & 0.305619 \tabularnewline
19 & 0.061672 & 0.4737 & 0.318727 \tabularnewline
20 & -0.005926 & -0.0455 & 0.481925 \tabularnewline
21 & -0.082324 & -0.6323 & 0.264802 \tabularnewline
22 & 0.001822 & 0.014 & 0.494441 \tabularnewline
23 & -0.0628 & -0.4824 & 0.315661 \tabularnewline
24 & 0.007193 & 0.0552 & 0.478063 \tabularnewline
25 & 0.029651 & 0.2278 & 0.410312 \tabularnewline
26 & -0.151703 & -1.1653 & 0.124302 \tabularnewline
27 & -0.045253 & -0.3476 & 0.364691 \tabularnewline
28 & 0.09468 & 0.7272 & 0.234975 \tabularnewline
29 & -0.057351 & -0.4405 & 0.330584 \tabularnewline
30 & 0.019795 & 0.152 & 0.439835 \tabularnewline
31 & -0.155721 & -1.1961 & 0.118218 \tabularnewline
32 & -0.040137 & -0.3083 & 0.379472 \tabularnewline
33 & 0.010491 & 0.0806 & 0.468022 \tabularnewline
34 & -0.022835 & -0.1754 & 0.430682 \tabularnewline
35 & -0.108025 & -0.8298 & 0.205011 \tabularnewline
36 & -0.114524 & -0.8797 & 0.191303 \tabularnewline
37 & 0.072423 & 0.5563 & 0.290059 \tabularnewline
38 & -0.042051 & -0.323 & 0.37392 \tabularnewline
39 & -0.048166 & -0.37 & 0.356364 \tabularnewline
40 & -0.003778 & -0.029 & 0.488475 \tabularnewline
41 & 0.002213 & 0.017 & 0.493249 \tabularnewline
42 & -0.100609 & -0.7728 & 0.221365 \tabularnewline
43 & 0.045096 & 0.3464 & 0.365141 \tabularnewline
44 & 0.027414 & 0.2106 & 0.416974 \tabularnewline
45 & -0.02815 & -0.2162 & 0.41478 \tabularnewline
46 & 0.010396 & 0.0799 & 0.468312 \tabularnewline
47 & 0.06782 & 0.5209 & 0.30218 \tabularnewline
48 & -0.078356 & -0.6019 & 0.274786 \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]-0.383616[/C][C]-2.9466[/C][C]0.002297[/C][/ROW]
[ROW][C]2[/C][C]-0.340211[/C][C]-2.6132[/C][C]0.005681[/C][/ROW]
[ROW][C]3[/C][C]0.054682[/C][C]0.42[/C][C]0.337998[/C][/ROW]
[ROW][C]4[/C][C]-0.365784[/C][C]-2.8096[/C][C]0.003359[/C][/ROW]
[ROW][C]5[/C][C]-0.270454[/C][C]-2.0774[/C][C]0.021063[/C][/ROW]
[ROW][C]6[/C][C]-0.020796[/C][C]-0.1597[/C][C]0.436818[/C][/ROW]
[ROW][C]7[/C][C]0.177053[/C][C]1.36[/C][C]0.089507[/C][/ROW]
[ROW][C]8[/C][C]-0.254659[/C][C]-1.9561[/C][C]0.027598[/C][/ROW]
[ROW][C]9[/C][C]-0.104793[/C][C]-0.8049[/C][C]0.212047[/C][/ROW]
[ROW][C]10[/C][C]-0.296577[/C][C]-2.278[/C][C]0.013181[/C][/ROW]
[ROW][C]11[/C][C]-0.233617[/C][C]-1.7944[/C][C]0.038933[/C][/ROW]
[ROW][C]12[/C][C]0.200366[/C][C]1.539[/C][C]0.064571[/C][/ROW]
[ROW][C]13[/C][C]0.027967[/C][C]0.2148[/C][C]0.415326[/C][/ROW]
[ROW][C]14[/C][C]0.304576[/C][C]2.3395[/C][C]0.011357[/C][/ROW]
[ROW][C]15[/C][C]-0.047419[/C][C]-0.3642[/C][C]0.358495[/C][/ROW]
[ROW][C]16[/C][C]-0.054169[/C][C]-0.4161[/C][C]0.339431[/C][/ROW]
[ROW][C]17[/C][C]0.142979[/C][C]1.0982[/C][C]0.138281[/C][/ROW]
[ROW][C]18[/C][C]-0.06653[/C][C]-0.511[/C][C]0.305619[/C][/ROW]
[ROW][C]19[/C][C]0.061672[/C][C]0.4737[/C][C]0.318727[/C][/ROW]
[ROW][C]20[/C][C]-0.005926[/C][C]-0.0455[/C][C]0.481925[/C][/ROW]
[ROW][C]21[/C][C]-0.082324[/C][C]-0.6323[/C][C]0.264802[/C][/ROW]
[ROW][C]22[/C][C]0.001822[/C][C]0.014[/C][C]0.494441[/C][/ROW]
[ROW][C]23[/C][C]-0.0628[/C][C]-0.4824[/C][C]0.315661[/C][/ROW]
[ROW][C]24[/C][C]0.007193[/C][C]0.0552[/C][C]0.478063[/C][/ROW]
[ROW][C]25[/C][C]0.029651[/C][C]0.2278[/C][C]0.410312[/C][/ROW]
[ROW][C]26[/C][C]-0.151703[/C][C]-1.1653[/C][C]0.124302[/C][/ROW]
[ROW][C]27[/C][C]-0.045253[/C][C]-0.3476[/C][C]0.364691[/C][/ROW]
[ROW][C]28[/C][C]0.09468[/C][C]0.7272[/C][C]0.234975[/C][/ROW]
[ROW][C]29[/C][C]-0.057351[/C][C]-0.4405[/C][C]0.330584[/C][/ROW]
[ROW][C]30[/C][C]0.019795[/C][C]0.152[/C][C]0.439835[/C][/ROW]
[ROW][C]31[/C][C]-0.155721[/C][C]-1.1961[/C][C]0.118218[/C][/ROW]
[ROW][C]32[/C][C]-0.040137[/C][C]-0.3083[/C][C]0.379472[/C][/ROW]
[ROW][C]33[/C][C]0.010491[/C][C]0.0806[/C][C]0.468022[/C][/ROW]
[ROW][C]34[/C][C]-0.022835[/C][C]-0.1754[/C][C]0.430682[/C][/ROW]
[ROW][C]35[/C][C]-0.108025[/C][C]-0.8298[/C][C]0.205011[/C][/ROW]
[ROW][C]36[/C][C]-0.114524[/C][C]-0.8797[/C][C]0.191303[/C][/ROW]
[ROW][C]37[/C][C]0.072423[/C][C]0.5563[/C][C]0.290059[/C][/ROW]
[ROW][C]38[/C][C]-0.042051[/C][C]-0.323[/C][C]0.37392[/C][/ROW]
[ROW][C]39[/C][C]-0.048166[/C][C]-0.37[/C][C]0.356364[/C][/ROW]
[ROW][C]40[/C][C]-0.003778[/C][C]-0.029[/C][C]0.488475[/C][/ROW]
[ROW][C]41[/C][C]0.002213[/C][C]0.017[/C][C]0.493249[/C][/ROW]
[ROW][C]42[/C][C]-0.100609[/C][C]-0.7728[/C][C]0.221365[/C][/ROW]
[ROW][C]43[/C][C]0.045096[/C][C]0.3464[/C][C]0.365141[/C][/ROW]
[ROW][C]44[/C][C]0.027414[/C][C]0.2106[/C][C]0.416974[/C][/ROW]
[ROW][C]45[/C][C]-0.02815[/C][C]-0.2162[/C][C]0.41478[/C][/ROW]
[ROW][C]46[/C][C]0.010396[/C][C]0.0799[/C][C]0.468312[/C][/ROW]
[ROW][C]47[/C][C]0.06782[/C][C]0.5209[/C][C]0.30218[/C][/ROW]
[ROW][C]48[/C][C]-0.078356[/C][C]-0.6019[/C][C]0.274786[/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
1-0.383616-2.94660.002297
2-0.340211-2.61320.005681
30.0546820.420.337998
4-0.365784-2.80960.003359
5-0.270454-2.07740.021063
6-0.020796-0.15970.436818
70.1770531.360.089507
8-0.254659-1.95610.027598
9-0.104793-0.80490.212047
10-0.296577-2.2780.013181
11-0.233617-1.79440.038933
120.2003661.5390.064571
130.0279670.21480.415326
140.3045762.33950.011357
15-0.047419-0.36420.358495
16-0.054169-0.41610.339431
170.1429791.09820.138281
18-0.06653-0.5110.305619
190.0616720.47370.318727
20-0.005926-0.04550.481925
21-0.082324-0.63230.264802
220.0018220.0140.494441
23-0.0628-0.48240.315661
240.0071930.05520.478063
250.0296510.22780.410312
26-0.151703-1.16530.124302
27-0.045253-0.34760.364691
280.094680.72720.234975
29-0.057351-0.44050.330584
300.0197950.1520.439835
31-0.155721-1.19610.118218
32-0.040137-0.30830.379472
330.0104910.08060.468022
34-0.022835-0.17540.430682
35-0.108025-0.82980.205011
36-0.114524-0.87970.191303
370.0724230.55630.290059
38-0.042051-0.3230.37392
39-0.048166-0.370.356364
40-0.003778-0.0290.488475
410.0022130.0170.493249
42-0.100609-0.77280.221365
430.0450960.34640.365141
440.0274140.21060.416974
45-0.02815-0.21620.41478
460.0103960.07990.468312
470.067820.52090.30218
48-0.078356-0.60190.274786


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')