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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 computationSat, 18 Mar 2017 18:13:59 +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/2017/Mar/18/t1489860933a1osm4x08ack7qt.htm/, Retrieved Mon, 13 May 2024 23:50:58 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Mon, 13 May 2024 23:50:58 +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 
86,88
90,65
90,68
89,64
102,62
101,84
92,51
94,29
94,68
96,94
94,03
89,65
84,9
89,07
89,8
93,22
92,23
98,41
96,63
89,8
90
92,13
93,27
90,81
85,42
88,28
88,73
90,18
92,74
96,13
94,85
94,25
96,94
101,22
98,71
95,51
93,91
98,17
97,59
99,64
107,88
108,49
100,25
99,27
101,73
101,25
97,09
94,74
94,53
93,48
96,05
106,22
98,33
99,86
93,78
88,96
83,77
89,46
86,78
88,4
87,19
92,23
95,99
104,75
105,63
108,71
96,4
93,31
93,77
98,7
95,04
95,61

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'Gertrude Mary Cox' @ cox.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 & 'Gertrude Mary Cox' @ cox.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]'Gertrude Mary Cox' @ cox.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'Gertrude Mary Cox' @ cox.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.6828365.79410
20.3886453.29780.000758
30.1857121.57580.059726
40.0853540.72430.235629
5-0.021723-0.18430.427139
6-0.011637-0.09870.460809
7-0.07365-0.62490.266993
8-0.064347-0.5460.293375
9-0.077354-0.65640.25684
100.0745660.63270.264463
110.1879321.59470.057585
120.2303221.95440.027272
130.0854810.72530.235301
14-0.090455-0.76750.222636
15-0.285355-2.42130.008993
16-0.296161-2.5130.007105
17-0.265664-2.25420.013613
18-0.165745-1.40640.081955
19-0.149331-1.26710.104599
20-0.132969-1.12830.131474
21-0.109029-0.92510.178992
22-0.015695-0.13320.447211
230.0907350.76990.221936
240.1414041.19990.117065
250.0335170.28440.388461
26-0.09017-0.76510.223351
27-0.148327-1.25860.10612
28-0.08407-0.71340.238966
29-0.048318-0.410.341515
300.0099980.08480.466315
310.0397210.3370.368531
320.0524220.44480.328894
330.0473490.40180.344523
340.075620.64170.261566
350.1237491.050.148605
360.146551.24350.108856
37-0.016584-0.14070.444242
38-0.153234-1.30020.098834
39-0.204279-1.73340.043656
40-0.166694-1.41440.080771
41-0.13516-1.14690.127617
42-0.052869-0.44860.327531
43-0.026229-0.22260.412252
44-0.007353-0.06240.475212
45-0.005634-0.04780.481001
460.0944970.80180.212643
470.1210181.02690.153959
480.0604960.51330.304646

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.682836 & 5.7941 & 0 \tabularnewline
2 & 0.388645 & 3.2978 & 0.000758 \tabularnewline
3 & 0.185712 & 1.5758 & 0.059726 \tabularnewline
4 & 0.085354 & 0.7243 & 0.235629 \tabularnewline
5 & -0.021723 & -0.1843 & 0.427139 \tabularnewline
6 & -0.011637 & -0.0987 & 0.460809 \tabularnewline
7 & -0.07365 & -0.6249 & 0.266993 \tabularnewline
8 & -0.064347 & -0.546 & 0.293375 \tabularnewline
9 & -0.077354 & -0.6564 & 0.25684 \tabularnewline
10 & 0.074566 & 0.6327 & 0.264463 \tabularnewline
11 & 0.187932 & 1.5947 & 0.057585 \tabularnewline
12 & 0.230322 & 1.9544 & 0.027272 \tabularnewline
13 & 0.085481 & 0.7253 & 0.235301 \tabularnewline
14 & -0.090455 & -0.7675 & 0.222636 \tabularnewline
15 & -0.285355 & -2.4213 & 0.008993 \tabularnewline
16 & -0.296161 & -2.513 & 0.007105 \tabularnewline
17 & -0.265664 & -2.2542 & 0.013613 \tabularnewline
18 & -0.165745 & -1.4064 & 0.081955 \tabularnewline
19 & -0.149331 & -1.2671 & 0.104599 \tabularnewline
20 & -0.132969 & -1.1283 & 0.131474 \tabularnewline
21 & -0.109029 & -0.9251 & 0.178992 \tabularnewline
22 & -0.015695 & -0.1332 & 0.447211 \tabularnewline
23 & 0.090735 & 0.7699 & 0.221936 \tabularnewline
24 & 0.141404 & 1.1999 & 0.117065 \tabularnewline
25 & 0.033517 & 0.2844 & 0.388461 \tabularnewline
26 & -0.09017 & -0.7651 & 0.223351 \tabularnewline
27 & -0.148327 & -1.2586 & 0.10612 \tabularnewline
28 & -0.08407 & -0.7134 & 0.238966 \tabularnewline
29 & -0.048318 & -0.41 & 0.341515 \tabularnewline
30 & 0.009998 & 0.0848 & 0.466315 \tabularnewline
31 & 0.039721 & 0.337 & 0.368531 \tabularnewline
32 & 0.052422 & 0.4448 & 0.328894 \tabularnewline
33 & 0.047349 & 0.4018 & 0.344523 \tabularnewline
34 & 0.07562 & 0.6417 & 0.261566 \tabularnewline
35 & 0.123749 & 1.05 & 0.148605 \tabularnewline
36 & 0.14655 & 1.2435 & 0.108856 \tabularnewline
37 & -0.016584 & -0.1407 & 0.444242 \tabularnewline
38 & -0.153234 & -1.3002 & 0.098834 \tabularnewline
39 & -0.204279 & -1.7334 & 0.043656 \tabularnewline
40 & -0.166694 & -1.4144 & 0.080771 \tabularnewline
41 & -0.13516 & -1.1469 & 0.127617 \tabularnewline
42 & -0.052869 & -0.4486 & 0.327531 \tabularnewline
43 & -0.026229 & -0.2226 & 0.412252 \tabularnewline
44 & -0.007353 & -0.0624 & 0.475212 \tabularnewline
45 & -0.005634 & -0.0478 & 0.481001 \tabularnewline
46 & 0.094497 & 0.8018 & 0.212643 \tabularnewline
47 & 0.121018 & 1.0269 & 0.153959 \tabularnewline
48 & 0.060496 & 0.5133 & 0.304646 \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]0.682836[/C][C]5.7941[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.388645[/C][C]3.2978[/C][C]0.000758[/C][/ROW]
[ROW][C]3[/C][C]0.185712[/C][C]1.5758[/C][C]0.059726[/C][/ROW]
[ROW][C]4[/C][C]0.085354[/C][C]0.7243[/C][C]0.235629[/C][/ROW]
[ROW][C]5[/C][C]-0.021723[/C][C]-0.1843[/C][C]0.427139[/C][/ROW]
[ROW][C]6[/C][C]-0.011637[/C][C]-0.0987[/C][C]0.460809[/C][/ROW]
[ROW][C]7[/C][C]-0.07365[/C][C]-0.6249[/C][C]0.266993[/C][/ROW]
[ROW][C]8[/C][C]-0.064347[/C][C]-0.546[/C][C]0.293375[/C][/ROW]
[ROW][C]9[/C][C]-0.077354[/C][C]-0.6564[/C][C]0.25684[/C][/ROW]
[ROW][C]10[/C][C]0.074566[/C][C]0.6327[/C][C]0.264463[/C][/ROW]
[ROW][C]11[/C][C]0.187932[/C][C]1.5947[/C][C]0.057585[/C][/ROW]
[ROW][C]12[/C][C]0.230322[/C][C]1.9544[/C][C]0.027272[/C][/ROW]
[ROW][C]13[/C][C]0.085481[/C][C]0.7253[/C][C]0.235301[/C][/ROW]
[ROW][C]14[/C][C]-0.090455[/C][C]-0.7675[/C][C]0.222636[/C][/ROW]
[ROW][C]15[/C][C]-0.285355[/C][C]-2.4213[/C][C]0.008993[/C][/ROW]
[ROW][C]16[/C][C]-0.296161[/C][C]-2.513[/C][C]0.007105[/C][/ROW]
[ROW][C]17[/C][C]-0.265664[/C][C]-2.2542[/C][C]0.013613[/C][/ROW]
[ROW][C]18[/C][C]-0.165745[/C][C]-1.4064[/C][C]0.081955[/C][/ROW]
[ROW][C]19[/C][C]-0.149331[/C][C]-1.2671[/C][C]0.104599[/C][/ROW]
[ROW][C]20[/C][C]-0.132969[/C][C]-1.1283[/C][C]0.131474[/C][/ROW]
[ROW][C]21[/C][C]-0.109029[/C][C]-0.9251[/C][C]0.178992[/C][/ROW]
[ROW][C]22[/C][C]-0.015695[/C][C]-0.1332[/C][C]0.447211[/C][/ROW]
[ROW][C]23[/C][C]0.090735[/C][C]0.7699[/C][C]0.221936[/C][/ROW]
[ROW][C]24[/C][C]0.141404[/C][C]1.1999[/C][C]0.117065[/C][/ROW]
[ROW][C]25[/C][C]0.033517[/C][C]0.2844[/C][C]0.388461[/C][/ROW]
[ROW][C]26[/C][C]-0.09017[/C][C]-0.7651[/C][C]0.223351[/C][/ROW]
[ROW][C]27[/C][C]-0.148327[/C][C]-1.2586[/C][C]0.10612[/C][/ROW]
[ROW][C]28[/C][C]-0.08407[/C][C]-0.7134[/C][C]0.238966[/C][/ROW]
[ROW][C]29[/C][C]-0.048318[/C][C]-0.41[/C][C]0.341515[/C][/ROW]
[ROW][C]30[/C][C]0.009998[/C][C]0.0848[/C][C]0.466315[/C][/ROW]
[ROW][C]31[/C][C]0.039721[/C][C]0.337[/C][C]0.368531[/C][/ROW]
[ROW][C]32[/C][C]0.052422[/C][C]0.4448[/C][C]0.328894[/C][/ROW]
[ROW][C]33[/C][C]0.047349[/C][C]0.4018[/C][C]0.344523[/C][/ROW]
[ROW][C]34[/C][C]0.07562[/C][C]0.6417[/C][C]0.261566[/C][/ROW]
[ROW][C]35[/C][C]0.123749[/C][C]1.05[/C][C]0.148605[/C][/ROW]
[ROW][C]36[/C][C]0.14655[/C][C]1.2435[/C][C]0.108856[/C][/ROW]
[ROW][C]37[/C][C]-0.016584[/C][C]-0.1407[/C][C]0.444242[/C][/ROW]
[ROW][C]38[/C][C]-0.153234[/C][C]-1.3002[/C][C]0.098834[/C][/ROW]
[ROW][C]39[/C][C]-0.204279[/C][C]-1.7334[/C][C]0.043656[/C][/ROW]
[ROW][C]40[/C][C]-0.166694[/C][C]-1.4144[/C][C]0.080771[/C][/ROW]
[ROW][C]41[/C][C]-0.13516[/C][C]-1.1469[/C][C]0.127617[/C][/ROW]
[ROW][C]42[/C][C]-0.052869[/C][C]-0.4486[/C][C]0.327531[/C][/ROW]
[ROW][C]43[/C][C]-0.026229[/C][C]-0.2226[/C][C]0.412252[/C][/ROW]
[ROW][C]44[/C][C]-0.007353[/C][C]-0.0624[/C][C]0.475212[/C][/ROW]
[ROW][C]45[/C][C]-0.005634[/C][C]-0.0478[/C][C]0.481001[/C][/ROW]
[ROW][C]46[/C][C]0.094497[/C][C]0.8018[/C][C]0.212643[/C][/ROW]
[ROW][C]47[/C][C]0.121018[/C][C]1.0269[/C][C]0.153959[/C][/ROW]
[ROW][C]48[/C][C]0.060496[/C][C]0.5133[/C][C]0.304646[/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
10.6828365.79410
20.3886453.29780.000758
30.1857121.57580.059726
40.0853540.72430.235629
5-0.021723-0.18430.427139
6-0.011637-0.09870.460809
7-0.07365-0.62490.266993
8-0.064347-0.5460.293375
9-0.077354-0.65640.25684
100.0745660.63270.264463
110.1879321.59470.057585
120.2303221.95440.027272
130.0854810.72530.235301
14-0.090455-0.76750.222636
15-0.285355-2.42130.008993
16-0.296161-2.5130.007105
17-0.265664-2.25420.013613
18-0.165745-1.40640.081955
19-0.149331-1.26710.104599
20-0.132969-1.12830.131474
21-0.109029-0.92510.178992
22-0.015695-0.13320.447211
230.0907350.76990.221936
240.1414041.19990.117065
250.0335170.28440.388461
26-0.09017-0.76510.223351
27-0.148327-1.25860.10612
28-0.08407-0.71340.238966
29-0.048318-0.410.341515
300.0099980.08480.466315
310.0397210.3370.368531
320.0524220.44480.328894
330.0473490.40180.344523
340.075620.64170.261566
350.1237491.050.148605
360.146551.24350.108856
37-0.016584-0.14070.444242
38-0.153234-1.30020.098834
39-0.204279-1.73340.043656
40-0.166694-1.41440.080771
41-0.13516-1.14690.127617
42-0.052869-0.44860.327531
43-0.026229-0.22260.412252
44-0.007353-0.06240.475212
45-0.005634-0.04780.481001
460.0944970.80180.212643
470.1210181.02690.153959
480.0604960.51330.304646






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.6828365.79410
2-0.145428-1.2340.110609
3-0.036289-0.30790.379514
40.0217530.18460.427038
5-0.117-0.99280.162072
60.1245351.05670.147088
7-0.173552-1.47260.072604
80.0887060.75270.227043
9-0.066912-0.56780.28598
100.2807842.38250.009918
110.0538750.45710.324473
12-0.023504-0.19940.421241
13-0.199162-1.68990.047682
14-0.217657-1.84690.034437
15-0.149054-1.26480.105017
160.045280.38420.350978
170.0325010.27580.391753
180.0829220.70360.241971
19-0.041403-0.35130.363188
20-0.069271-0.58780.279259
21-0.010764-0.09130.463741
22-0.061296-0.52010.302289
230.1350881.14630.127742
24-0.054252-0.46030.32333
25-0.025007-0.21220.416278
26-0.038878-0.32990.371219
270.0763160.64760.259663
280.0990550.84050.201702
29-0.146727-1.2450.108581
300.0144880.12290.45125
31-0.025816-0.21910.413612
320.0630540.5350.297137
330.0335350.28460.388401
34-0.083167-0.70570.241327
350.0601110.51010.305785
36-0.008841-0.0750.470204
37-0.229172-1.94460.027865
380.0047430.04020.484004
39-0.064946-0.55110.291642
400.0687330.58320.280784
41-0.081296-0.68980.246264
420.0554270.47030.319778
430.0410370.34820.364348
44-0.039088-0.33170.370551
450.0570940.48450.314766
460.0160410.13610.446056
47-0.039624-0.33620.368841
48-0.07887-0.66920.252743

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.682836 & 5.7941 & 0 \tabularnewline
2 & -0.145428 & -1.234 & 0.110609 \tabularnewline
3 & -0.036289 & -0.3079 & 0.379514 \tabularnewline
4 & 0.021753 & 0.1846 & 0.427038 \tabularnewline
5 & -0.117 & -0.9928 & 0.162072 \tabularnewline
6 & 0.124535 & 1.0567 & 0.147088 \tabularnewline
7 & -0.173552 & -1.4726 & 0.072604 \tabularnewline
8 & 0.088706 & 0.7527 & 0.227043 \tabularnewline
9 & -0.066912 & -0.5678 & 0.28598 \tabularnewline
10 & 0.280784 & 2.3825 & 0.009918 \tabularnewline
11 & 0.053875 & 0.4571 & 0.324473 \tabularnewline
12 & -0.023504 & -0.1994 & 0.421241 \tabularnewline
13 & -0.199162 & -1.6899 & 0.047682 \tabularnewline
14 & -0.217657 & -1.8469 & 0.034437 \tabularnewline
15 & -0.149054 & -1.2648 & 0.105017 \tabularnewline
16 & 0.04528 & 0.3842 & 0.350978 \tabularnewline
17 & 0.032501 & 0.2758 & 0.391753 \tabularnewline
18 & 0.082922 & 0.7036 & 0.241971 \tabularnewline
19 & -0.041403 & -0.3513 & 0.363188 \tabularnewline
20 & -0.069271 & -0.5878 & 0.279259 \tabularnewline
21 & -0.010764 & -0.0913 & 0.463741 \tabularnewline
22 & -0.061296 & -0.5201 & 0.302289 \tabularnewline
23 & 0.135088 & 1.1463 & 0.127742 \tabularnewline
24 & -0.054252 & -0.4603 & 0.32333 \tabularnewline
25 & -0.025007 & -0.2122 & 0.416278 \tabularnewline
26 & -0.038878 & -0.3299 & 0.371219 \tabularnewline
27 & 0.076316 & 0.6476 & 0.259663 \tabularnewline
28 & 0.099055 & 0.8405 & 0.201702 \tabularnewline
29 & -0.146727 & -1.245 & 0.108581 \tabularnewline
30 & 0.014488 & 0.1229 & 0.45125 \tabularnewline
31 & -0.025816 & -0.2191 & 0.413612 \tabularnewline
32 & 0.063054 & 0.535 & 0.297137 \tabularnewline
33 & 0.033535 & 0.2846 & 0.388401 \tabularnewline
34 & -0.083167 & -0.7057 & 0.241327 \tabularnewline
35 & 0.060111 & 0.5101 & 0.305785 \tabularnewline
36 & -0.008841 & -0.075 & 0.470204 \tabularnewline
37 & -0.229172 & -1.9446 & 0.027865 \tabularnewline
38 & 0.004743 & 0.0402 & 0.484004 \tabularnewline
39 & -0.064946 & -0.5511 & 0.291642 \tabularnewline
40 & 0.068733 & 0.5832 & 0.280784 \tabularnewline
41 & -0.081296 & -0.6898 & 0.246264 \tabularnewline
42 & 0.055427 & 0.4703 & 0.319778 \tabularnewline
43 & 0.041037 & 0.3482 & 0.364348 \tabularnewline
44 & -0.039088 & -0.3317 & 0.370551 \tabularnewline
45 & 0.057094 & 0.4845 & 0.314766 \tabularnewline
46 & 0.016041 & 0.1361 & 0.446056 \tabularnewline
47 & -0.039624 & -0.3362 & 0.368841 \tabularnewline
48 & -0.07887 & -0.6692 & 0.252743 \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]0.682836[/C][C]5.7941[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.145428[/C][C]-1.234[/C][C]0.110609[/C][/ROW]
[ROW][C]3[/C][C]-0.036289[/C][C]-0.3079[/C][C]0.379514[/C][/ROW]
[ROW][C]4[/C][C]0.021753[/C][C]0.1846[/C][C]0.427038[/C][/ROW]
[ROW][C]5[/C][C]-0.117[/C][C]-0.9928[/C][C]0.162072[/C][/ROW]
[ROW][C]6[/C][C]0.124535[/C][C]1.0567[/C][C]0.147088[/C][/ROW]
[ROW][C]7[/C][C]-0.173552[/C][C]-1.4726[/C][C]0.072604[/C][/ROW]
[ROW][C]8[/C][C]0.088706[/C][C]0.7527[/C][C]0.227043[/C][/ROW]
[ROW][C]9[/C][C]-0.066912[/C][C]-0.5678[/C][C]0.28598[/C][/ROW]
[ROW][C]10[/C][C]0.280784[/C][C]2.3825[/C][C]0.009918[/C][/ROW]
[ROW][C]11[/C][C]0.053875[/C][C]0.4571[/C][C]0.324473[/C][/ROW]
[ROW][C]12[/C][C]-0.023504[/C][C]-0.1994[/C][C]0.421241[/C][/ROW]
[ROW][C]13[/C][C]-0.199162[/C][C]-1.6899[/C][C]0.047682[/C][/ROW]
[ROW][C]14[/C][C]-0.217657[/C][C]-1.8469[/C][C]0.034437[/C][/ROW]
[ROW][C]15[/C][C]-0.149054[/C][C]-1.2648[/C][C]0.105017[/C][/ROW]
[ROW][C]16[/C][C]0.04528[/C][C]0.3842[/C][C]0.350978[/C][/ROW]
[ROW][C]17[/C][C]0.032501[/C][C]0.2758[/C][C]0.391753[/C][/ROW]
[ROW][C]18[/C][C]0.082922[/C][C]0.7036[/C][C]0.241971[/C][/ROW]
[ROW][C]19[/C][C]-0.041403[/C][C]-0.3513[/C][C]0.363188[/C][/ROW]
[ROW][C]20[/C][C]-0.069271[/C][C]-0.5878[/C][C]0.279259[/C][/ROW]
[ROW][C]21[/C][C]-0.010764[/C][C]-0.0913[/C][C]0.463741[/C][/ROW]
[ROW][C]22[/C][C]-0.061296[/C][C]-0.5201[/C][C]0.302289[/C][/ROW]
[ROW][C]23[/C][C]0.135088[/C][C]1.1463[/C][C]0.127742[/C][/ROW]
[ROW][C]24[/C][C]-0.054252[/C][C]-0.4603[/C][C]0.32333[/C][/ROW]
[ROW][C]25[/C][C]-0.025007[/C][C]-0.2122[/C][C]0.416278[/C][/ROW]
[ROW][C]26[/C][C]-0.038878[/C][C]-0.3299[/C][C]0.371219[/C][/ROW]
[ROW][C]27[/C][C]0.076316[/C][C]0.6476[/C][C]0.259663[/C][/ROW]
[ROW][C]28[/C][C]0.099055[/C][C]0.8405[/C][C]0.201702[/C][/ROW]
[ROW][C]29[/C][C]-0.146727[/C][C]-1.245[/C][C]0.108581[/C][/ROW]
[ROW][C]30[/C][C]0.014488[/C][C]0.1229[/C][C]0.45125[/C][/ROW]
[ROW][C]31[/C][C]-0.025816[/C][C]-0.2191[/C][C]0.413612[/C][/ROW]
[ROW][C]32[/C][C]0.063054[/C][C]0.535[/C][C]0.297137[/C][/ROW]
[ROW][C]33[/C][C]0.033535[/C][C]0.2846[/C][C]0.388401[/C][/ROW]
[ROW][C]34[/C][C]-0.083167[/C][C]-0.7057[/C][C]0.241327[/C][/ROW]
[ROW][C]35[/C][C]0.060111[/C][C]0.5101[/C][C]0.305785[/C][/ROW]
[ROW][C]36[/C][C]-0.008841[/C][C]-0.075[/C][C]0.470204[/C][/ROW]
[ROW][C]37[/C][C]-0.229172[/C][C]-1.9446[/C][C]0.027865[/C][/ROW]
[ROW][C]38[/C][C]0.004743[/C][C]0.0402[/C][C]0.484004[/C][/ROW]
[ROW][C]39[/C][C]-0.064946[/C][C]-0.5511[/C][C]0.291642[/C][/ROW]
[ROW][C]40[/C][C]0.068733[/C][C]0.5832[/C][C]0.280784[/C][/ROW]
[ROW][C]41[/C][C]-0.081296[/C][C]-0.6898[/C][C]0.246264[/C][/ROW]
[ROW][C]42[/C][C]0.055427[/C][C]0.4703[/C][C]0.319778[/C][/ROW]
[ROW][C]43[/C][C]0.041037[/C][C]0.3482[/C][C]0.364348[/C][/ROW]
[ROW][C]44[/C][C]-0.039088[/C][C]-0.3317[/C][C]0.370551[/C][/ROW]
[ROW][C]45[/C][C]0.057094[/C][C]0.4845[/C][C]0.314766[/C][/ROW]
[ROW][C]46[/C][C]0.016041[/C][C]0.1361[/C][C]0.446056[/C][/ROW]
[ROW][C]47[/C][C]-0.039624[/C][C]-0.3362[/C][C]0.368841[/C][/ROW]
[ROW][C]48[/C][C]-0.07887[/C][C]-0.6692[/C][C]0.252743[/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
10.6828365.79410
2-0.145428-1.2340.110609
3-0.036289-0.30790.379514
40.0217530.18460.427038
5-0.117-0.99280.162072
60.1245351.05670.147088
7-0.173552-1.47260.072604
80.0887060.75270.227043
9-0.066912-0.56780.28598
100.2807842.38250.009918
110.0538750.45710.324473
12-0.023504-0.19940.421241
13-0.199162-1.68990.047682
14-0.217657-1.84690.034437
15-0.149054-1.26480.105017
160.045280.38420.350978
170.0325010.27580.391753
180.0829220.70360.241971
19-0.041403-0.35130.363188
20-0.069271-0.58780.279259
21-0.010764-0.09130.463741
22-0.061296-0.52010.302289
230.1350881.14630.127742
24-0.054252-0.46030.32333
25-0.025007-0.21220.416278
26-0.038878-0.32990.371219
270.0763160.64760.259663
280.0990550.84050.201702
29-0.146727-1.2450.108581
300.0144880.12290.45125
31-0.025816-0.21910.413612
320.0630540.5350.297137
330.0335350.28460.388401
34-0.083167-0.70570.241327
350.0601110.51010.305785
36-0.008841-0.0750.470204
37-0.229172-1.94460.027865
380.0047430.04020.484004
39-0.064946-0.55110.291642
400.0687330.58320.280784
41-0.081296-0.68980.246264
420.0554270.47030.319778
430.0410370.34820.364348
44-0.039088-0.33170.370551
450.0570940.48450.314766
460.0160410.13610.446056
47-0.039624-0.33620.368841
48-0.07887-0.66920.252743


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')