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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, 16 Mar 2017 12:27:21 +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/16/t14896672942mbq0aeqn1hc7lq.htm/, Retrieved Tue, 14 May 2024 17:52:28 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Tue, 14 May 2024 17:52:28 +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 
78.46
78.59
81.37
83.61
84.65
84.56
83.85
84.08
85.41
85.75
86.38
88.87
90.37
92.21
95.75
97.29
98.29
99.51
99.04
98.9
100.74
100.3
101.68
101.3
103.13
104.17
105.98
106.25
104.01
101.68
101.93
104.41
105.51
104.71
103.14
102.66
102.68
101.89
101.37
101.16
99.34
99.35
99.88
99.31
99.91
98.39
98.02
98.7
98.01
98.42
98.2
93.5
93.17
93.42
93.13
92.31
92.09
92.62
91.43
89.38
86.21
86.65
88.62
87.3
88.33
88.67
88.23
88.85
90.38
89.65
89.2
87.87

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'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 & 1 seconds \tabularnewline
R Server & 'Sir Ronald Aylmer Fisher' @ fisher.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]'Sir Ronald Aylmer Fisher' @ fisher.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'Sir Ronald Aylmer Fisher' @ fisher.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.332382.80070.003283
20.0515490.43440.332672
30.0762380.64240.261344
40.0540960.45580.324956
50.2123721.78950.038901
60.254352.14320.017763
70.0852640.71840.237419
80.14141.19150.11872
90.1716951.44670.076187
100.1634231.3770.086415
110.2897562.44150.00856
120.2588422.1810.016247
130.0291160.24530.403453
14-0.017287-0.14570.4423
150.0605420.51010.305768
16-0.006653-0.05610.477727
170.0523090.44080.330362
180.1060650.89370.187245
19-0.032931-0.27750.391108
20-0.003124-0.02630.489537
21-0.022446-0.18910.425262
220.1232741.03870.151228
230.0934690.78760.21678
24-0.042475-0.35790.360739
25-0.140805-1.18640.119701
26-0.132755-1.11860.133538
27-0.133215-1.12250.132718
28-0.082877-0.69830.243624
29-0.087889-0.74060.2307
300.0451550.38050.352361
31-0.029998-0.25280.400589
32-0.056536-0.47640.317634
33-0.065542-0.55230.29125
34-0.172512-1.45360.07523
35-0.116397-0.98080.165016
36-0.093542-0.78820.216602
37-0.133241-1.12270.132672
38-0.143114-1.20590.115929
39-0.136125-1.1470.127614
40-0.143102-1.20580.115949
41-0.056297-0.47440.318348
420.0266310.22440.411546
43-0.134713-1.13510.130073
44-0.099465-0.83810.202392
45-0.085527-0.72070.236742
46-0.133826-1.12760.131634
47-0.121862-1.02680.153994
48-0.093717-0.78970.216174

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.33238 & 2.8007 & 0.003283 \tabularnewline
2 & 0.051549 & 0.4344 & 0.332672 \tabularnewline
3 & 0.076238 & 0.6424 & 0.261344 \tabularnewline
4 & 0.054096 & 0.4558 & 0.324956 \tabularnewline
5 & 0.212372 & 1.7895 & 0.038901 \tabularnewline
6 & 0.25435 & 2.1432 & 0.017763 \tabularnewline
7 & 0.085264 & 0.7184 & 0.237419 \tabularnewline
8 & 0.1414 & 1.1915 & 0.11872 \tabularnewline
9 & 0.171695 & 1.4467 & 0.076187 \tabularnewline
10 & 0.163423 & 1.377 & 0.086415 \tabularnewline
11 & 0.289756 & 2.4415 & 0.00856 \tabularnewline
12 & 0.258842 & 2.181 & 0.016247 \tabularnewline
13 & 0.029116 & 0.2453 & 0.403453 \tabularnewline
14 & -0.017287 & -0.1457 & 0.4423 \tabularnewline
15 & 0.060542 & 0.5101 & 0.305768 \tabularnewline
16 & -0.006653 & -0.0561 & 0.477727 \tabularnewline
17 & 0.052309 & 0.4408 & 0.330362 \tabularnewline
18 & 0.106065 & 0.8937 & 0.187245 \tabularnewline
19 & -0.032931 & -0.2775 & 0.391108 \tabularnewline
20 & -0.003124 & -0.0263 & 0.489537 \tabularnewline
21 & -0.022446 & -0.1891 & 0.425262 \tabularnewline
22 & 0.123274 & 1.0387 & 0.151228 \tabularnewline
23 & 0.093469 & 0.7876 & 0.21678 \tabularnewline
24 & -0.042475 & -0.3579 & 0.360739 \tabularnewline
25 & -0.140805 & -1.1864 & 0.119701 \tabularnewline
26 & -0.132755 & -1.1186 & 0.133538 \tabularnewline
27 & -0.133215 & -1.1225 & 0.132718 \tabularnewline
28 & -0.082877 & -0.6983 & 0.243624 \tabularnewline
29 & -0.087889 & -0.7406 & 0.2307 \tabularnewline
30 & 0.045155 & 0.3805 & 0.352361 \tabularnewline
31 & -0.029998 & -0.2528 & 0.400589 \tabularnewline
32 & -0.056536 & -0.4764 & 0.317634 \tabularnewline
33 & -0.065542 & -0.5523 & 0.29125 \tabularnewline
34 & -0.172512 & -1.4536 & 0.07523 \tabularnewline
35 & -0.116397 & -0.9808 & 0.165016 \tabularnewline
36 & -0.093542 & -0.7882 & 0.216602 \tabularnewline
37 & -0.133241 & -1.1227 & 0.132672 \tabularnewline
38 & -0.143114 & -1.2059 & 0.115929 \tabularnewline
39 & -0.136125 & -1.147 & 0.127614 \tabularnewline
40 & -0.143102 & -1.2058 & 0.115949 \tabularnewline
41 & -0.056297 & -0.4744 & 0.318348 \tabularnewline
42 & 0.026631 & 0.2244 & 0.411546 \tabularnewline
43 & -0.134713 & -1.1351 & 0.130073 \tabularnewline
44 & -0.099465 & -0.8381 & 0.202392 \tabularnewline
45 & -0.085527 & -0.7207 & 0.236742 \tabularnewline
46 & -0.133826 & -1.1276 & 0.131634 \tabularnewline
47 & -0.121862 & -1.0268 & 0.153994 \tabularnewline
48 & -0.093717 & -0.7897 & 0.216174 \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]0.33238[/C][C]2.8007[/C][C]0.003283[/C][/ROW]
[ROW][C]2[/C][C]0.051549[/C][C]0.4344[/C][C]0.332672[/C][/ROW]
[ROW][C]3[/C][C]0.076238[/C][C]0.6424[/C][C]0.261344[/C][/ROW]
[ROW][C]4[/C][C]0.054096[/C][C]0.4558[/C][C]0.324956[/C][/ROW]
[ROW][C]5[/C][C]0.212372[/C][C]1.7895[/C][C]0.038901[/C][/ROW]
[ROW][C]6[/C][C]0.25435[/C][C]2.1432[/C][C]0.017763[/C][/ROW]
[ROW][C]7[/C][C]0.085264[/C][C]0.7184[/C][C]0.237419[/C][/ROW]
[ROW][C]8[/C][C]0.1414[/C][C]1.1915[/C][C]0.11872[/C][/ROW]
[ROW][C]9[/C][C]0.171695[/C][C]1.4467[/C][C]0.076187[/C][/ROW]
[ROW][C]10[/C][C]0.163423[/C][C]1.377[/C][C]0.086415[/C][/ROW]
[ROW][C]11[/C][C]0.289756[/C][C]2.4415[/C][C]0.00856[/C][/ROW]
[ROW][C]12[/C][C]0.258842[/C][C]2.181[/C][C]0.016247[/C][/ROW]
[ROW][C]13[/C][C]0.029116[/C][C]0.2453[/C][C]0.403453[/C][/ROW]
[ROW][C]14[/C][C]-0.017287[/C][C]-0.1457[/C][C]0.4423[/C][/ROW]
[ROW][C]15[/C][C]0.060542[/C][C]0.5101[/C][C]0.305768[/C][/ROW]
[ROW][C]16[/C][C]-0.006653[/C][C]-0.0561[/C][C]0.477727[/C][/ROW]
[ROW][C]17[/C][C]0.052309[/C][C]0.4408[/C][C]0.330362[/C][/ROW]
[ROW][C]18[/C][C]0.106065[/C][C]0.8937[/C][C]0.187245[/C][/ROW]
[ROW][C]19[/C][C]-0.032931[/C][C]-0.2775[/C][C]0.391108[/C][/ROW]
[ROW][C]20[/C][C]-0.003124[/C][C]-0.0263[/C][C]0.489537[/C][/ROW]
[ROW][C]21[/C][C]-0.022446[/C][C]-0.1891[/C][C]0.425262[/C][/ROW]
[ROW][C]22[/C][C]0.123274[/C][C]1.0387[/C][C]0.151228[/C][/ROW]
[ROW][C]23[/C][C]0.093469[/C][C]0.7876[/C][C]0.21678[/C][/ROW]
[ROW][C]24[/C][C]-0.042475[/C][C]-0.3579[/C][C]0.360739[/C][/ROW]
[ROW][C]25[/C][C]-0.140805[/C][C]-1.1864[/C][C]0.119701[/C][/ROW]
[ROW][C]26[/C][C]-0.132755[/C][C]-1.1186[/C][C]0.133538[/C][/ROW]
[ROW][C]27[/C][C]-0.133215[/C][C]-1.1225[/C][C]0.132718[/C][/ROW]
[ROW][C]28[/C][C]-0.082877[/C][C]-0.6983[/C][C]0.243624[/C][/ROW]
[ROW][C]29[/C][C]-0.087889[/C][C]-0.7406[/C][C]0.2307[/C][/ROW]
[ROW][C]30[/C][C]0.045155[/C][C]0.3805[/C][C]0.352361[/C][/ROW]
[ROW][C]31[/C][C]-0.029998[/C][C]-0.2528[/C][C]0.400589[/C][/ROW]
[ROW][C]32[/C][C]-0.056536[/C][C]-0.4764[/C][C]0.317634[/C][/ROW]
[ROW][C]33[/C][C]-0.065542[/C][C]-0.5523[/C][C]0.29125[/C][/ROW]
[ROW][C]34[/C][C]-0.172512[/C][C]-1.4536[/C][C]0.07523[/C][/ROW]
[ROW][C]35[/C][C]-0.116397[/C][C]-0.9808[/C][C]0.165016[/C][/ROW]
[ROW][C]36[/C][C]-0.093542[/C][C]-0.7882[/C][C]0.216602[/C][/ROW]
[ROW][C]37[/C][C]-0.133241[/C][C]-1.1227[/C][C]0.132672[/C][/ROW]
[ROW][C]38[/C][C]-0.143114[/C][C]-1.2059[/C][C]0.115929[/C][/ROW]
[ROW][C]39[/C][C]-0.136125[/C][C]-1.147[/C][C]0.127614[/C][/ROW]
[ROW][C]40[/C][C]-0.143102[/C][C]-1.2058[/C][C]0.115949[/C][/ROW]
[ROW][C]41[/C][C]-0.056297[/C][C]-0.4744[/C][C]0.318348[/C][/ROW]
[ROW][C]42[/C][C]0.026631[/C][C]0.2244[/C][C]0.411546[/C][/ROW]
[ROW][C]43[/C][C]-0.134713[/C][C]-1.1351[/C][C]0.130073[/C][/ROW]
[ROW][C]44[/C][C]-0.099465[/C][C]-0.8381[/C][C]0.202392[/C][/ROW]
[ROW][C]45[/C][C]-0.085527[/C][C]-0.7207[/C][C]0.236742[/C][/ROW]
[ROW][C]46[/C][C]-0.133826[/C][C]-1.1276[/C][C]0.131634[/C][/ROW]
[ROW][C]47[/C][C]-0.121862[/C][C]-1.0268[/C][C]0.153994[/C][/ROW]
[ROW][C]48[/C][C]-0.093717[/C][C]-0.7897[/C][C]0.216174[/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
10.332382.80070.003283
20.0515490.43440.332672
30.0762380.64240.261344
40.0540960.45580.324956
50.2123721.78950.038901
60.254352.14320.017763
70.0852640.71840.237419
80.14141.19150.11872
90.1716951.44670.076187
100.1634231.3770.086415
110.2897562.44150.00856
120.2588422.1810.016247
130.0291160.24530.403453
14-0.017287-0.14570.4423
150.0605420.51010.305768
16-0.006653-0.05610.477727
170.0523090.44080.330362
180.1060650.89370.187245
19-0.032931-0.27750.391108
20-0.003124-0.02630.489537
21-0.022446-0.18910.425262
220.1232741.03870.151228
230.0934690.78760.21678
24-0.042475-0.35790.360739
25-0.140805-1.18640.119701
26-0.132755-1.11860.133538
27-0.133215-1.12250.132718
28-0.082877-0.69830.243624
29-0.087889-0.74060.2307
300.0451550.38050.352361
31-0.029998-0.25280.400589
32-0.056536-0.47640.317634
33-0.065542-0.55230.29125
34-0.172512-1.45360.07523
35-0.116397-0.98080.165016
36-0.093542-0.78820.216602
37-0.133241-1.12270.132672
38-0.143114-1.20590.115929
39-0.136125-1.1470.127614
40-0.143102-1.20580.115949
41-0.056297-0.47440.318348
420.0266310.22440.411546
43-0.134713-1.13510.130073
44-0.099465-0.83810.202392
45-0.085527-0.72070.236742
46-0.133826-1.12760.131634
47-0.121862-1.02680.153994
48-0.093717-0.78970.216174






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.332382.80070.003283
2-0.066246-0.55820.289233
30.0903180.7610.224578
40.0018960.0160.493648
50.2221241.87170.032687
60.1269691.06990.144154
7-0.033924-0.28590.387912
80.1373741.15750.125466
90.0805880.6790.249657
100.0807590.68050.249204
110.1891761.5940.057686
120.1156730.97470.166514
13-0.11088-0.93430.17666
14-0.077691-0.65460.257409
150.0209140.17620.43031
16-0.169271-1.42630.079082
17-0.068649-0.57840.282397
180.0264160.22260.412248
19-0.134442-1.13280.130548
20-0.070783-0.59640.276394
21-0.100827-0.84960.199205
220.1939811.63450.053289
23-0.101454-0.85490.197749
24-0.023149-0.19510.422952
25-0.027416-0.2310.408985
26-0.063625-0.53610.296779
27-0.124027-1.04510.149767
28-0.029568-0.24910.401983
29-0.048095-0.40530.343254
300.1356151.14270.128498
31-0.027143-0.22870.409877
320.0939110.79130.215699
33-0.065228-0.54960.292151
34-0.131764-1.11030.135316
350.0429050.36150.359392
360.0156910.13220.447595
37-0.027536-0.2320.408595
38-0.049698-0.41880.338327
390.0380610.32070.374687
40-0.122329-1.03080.153076
41-0.006625-0.05580.477819
420.1059540.89280.187493
43-0.10155-0.85570.197529
440.0330120.27820.390848
450.0171150.14420.442869
460.0210670.17750.429807
47-0.10608-0.89380.187212
48-0.020597-0.17360.431355

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.33238 & 2.8007 & 0.003283 \tabularnewline
2 & -0.066246 & -0.5582 & 0.289233 \tabularnewline
3 & 0.090318 & 0.761 & 0.224578 \tabularnewline
4 & 0.001896 & 0.016 & 0.493648 \tabularnewline
5 & 0.222124 & 1.8717 & 0.032687 \tabularnewline
6 & 0.126969 & 1.0699 & 0.144154 \tabularnewline
7 & -0.033924 & -0.2859 & 0.387912 \tabularnewline
8 & 0.137374 & 1.1575 & 0.125466 \tabularnewline
9 & 0.080588 & 0.679 & 0.249657 \tabularnewline
10 & 0.080759 & 0.6805 & 0.249204 \tabularnewline
11 & 0.189176 & 1.594 & 0.057686 \tabularnewline
12 & 0.115673 & 0.9747 & 0.166514 \tabularnewline
13 & -0.11088 & -0.9343 & 0.17666 \tabularnewline
14 & -0.077691 & -0.6546 & 0.257409 \tabularnewline
15 & 0.020914 & 0.1762 & 0.43031 \tabularnewline
16 & -0.169271 & -1.4263 & 0.079082 \tabularnewline
17 & -0.068649 & -0.5784 & 0.282397 \tabularnewline
18 & 0.026416 & 0.2226 & 0.412248 \tabularnewline
19 & -0.134442 & -1.1328 & 0.130548 \tabularnewline
20 & -0.070783 & -0.5964 & 0.276394 \tabularnewline
21 & -0.100827 & -0.8496 & 0.199205 \tabularnewline
22 & 0.193981 & 1.6345 & 0.053289 \tabularnewline
23 & -0.101454 & -0.8549 & 0.197749 \tabularnewline
24 & -0.023149 & -0.1951 & 0.422952 \tabularnewline
25 & -0.027416 & -0.231 & 0.408985 \tabularnewline
26 & -0.063625 & -0.5361 & 0.296779 \tabularnewline
27 & -0.124027 & -1.0451 & 0.149767 \tabularnewline
28 & -0.029568 & -0.2491 & 0.401983 \tabularnewline
29 & -0.048095 & -0.4053 & 0.343254 \tabularnewline
30 & 0.135615 & 1.1427 & 0.128498 \tabularnewline
31 & -0.027143 & -0.2287 & 0.409877 \tabularnewline
32 & 0.093911 & 0.7913 & 0.215699 \tabularnewline
33 & -0.065228 & -0.5496 & 0.292151 \tabularnewline
34 & -0.131764 & -1.1103 & 0.135316 \tabularnewline
35 & 0.042905 & 0.3615 & 0.359392 \tabularnewline
36 & 0.015691 & 0.1322 & 0.447595 \tabularnewline
37 & -0.027536 & -0.232 & 0.408595 \tabularnewline
38 & -0.049698 & -0.4188 & 0.338327 \tabularnewline
39 & 0.038061 & 0.3207 & 0.374687 \tabularnewline
40 & -0.122329 & -1.0308 & 0.153076 \tabularnewline
41 & -0.006625 & -0.0558 & 0.477819 \tabularnewline
42 & 0.105954 & 0.8928 & 0.187493 \tabularnewline
43 & -0.10155 & -0.8557 & 0.197529 \tabularnewline
44 & 0.033012 & 0.2782 & 0.390848 \tabularnewline
45 & 0.017115 & 0.1442 & 0.442869 \tabularnewline
46 & 0.021067 & 0.1775 & 0.429807 \tabularnewline
47 & -0.10608 & -0.8938 & 0.187212 \tabularnewline
48 & -0.020597 & -0.1736 & 0.431355 \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]0.33238[/C][C]2.8007[/C][C]0.003283[/C][/ROW]
[ROW][C]2[/C][C]-0.066246[/C][C]-0.5582[/C][C]0.289233[/C][/ROW]
[ROW][C]3[/C][C]0.090318[/C][C]0.761[/C][C]0.224578[/C][/ROW]
[ROW][C]4[/C][C]0.001896[/C][C]0.016[/C][C]0.493648[/C][/ROW]
[ROW][C]5[/C][C]0.222124[/C][C]1.8717[/C][C]0.032687[/C][/ROW]
[ROW][C]6[/C][C]0.126969[/C][C]1.0699[/C][C]0.144154[/C][/ROW]
[ROW][C]7[/C][C]-0.033924[/C][C]-0.2859[/C][C]0.387912[/C][/ROW]
[ROW][C]8[/C][C]0.137374[/C][C]1.1575[/C][C]0.125466[/C][/ROW]
[ROW][C]9[/C][C]0.080588[/C][C]0.679[/C][C]0.249657[/C][/ROW]
[ROW][C]10[/C][C]0.080759[/C][C]0.6805[/C][C]0.249204[/C][/ROW]
[ROW][C]11[/C][C]0.189176[/C][C]1.594[/C][C]0.057686[/C][/ROW]
[ROW][C]12[/C][C]0.115673[/C][C]0.9747[/C][C]0.166514[/C][/ROW]
[ROW][C]13[/C][C]-0.11088[/C][C]-0.9343[/C][C]0.17666[/C][/ROW]
[ROW][C]14[/C][C]-0.077691[/C][C]-0.6546[/C][C]0.257409[/C][/ROW]
[ROW][C]15[/C][C]0.020914[/C][C]0.1762[/C][C]0.43031[/C][/ROW]
[ROW][C]16[/C][C]-0.169271[/C][C]-1.4263[/C][C]0.079082[/C][/ROW]
[ROW][C]17[/C][C]-0.068649[/C][C]-0.5784[/C][C]0.282397[/C][/ROW]
[ROW][C]18[/C][C]0.026416[/C][C]0.2226[/C][C]0.412248[/C][/ROW]
[ROW][C]19[/C][C]-0.134442[/C][C]-1.1328[/C][C]0.130548[/C][/ROW]
[ROW][C]20[/C][C]-0.070783[/C][C]-0.5964[/C][C]0.276394[/C][/ROW]
[ROW][C]21[/C][C]-0.100827[/C][C]-0.8496[/C][C]0.199205[/C][/ROW]
[ROW][C]22[/C][C]0.193981[/C][C]1.6345[/C][C]0.053289[/C][/ROW]
[ROW][C]23[/C][C]-0.101454[/C][C]-0.8549[/C][C]0.197749[/C][/ROW]
[ROW][C]24[/C][C]-0.023149[/C][C]-0.1951[/C][C]0.422952[/C][/ROW]
[ROW][C]25[/C][C]-0.027416[/C][C]-0.231[/C][C]0.408985[/C][/ROW]
[ROW][C]26[/C][C]-0.063625[/C][C]-0.5361[/C][C]0.296779[/C][/ROW]
[ROW][C]27[/C][C]-0.124027[/C][C]-1.0451[/C][C]0.149767[/C][/ROW]
[ROW][C]28[/C][C]-0.029568[/C][C]-0.2491[/C][C]0.401983[/C][/ROW]
[ROW][C]29[/C][C]-0.048095[/C][C]-0.4053[/C][C]0.343254[/C][/ROW]
[ROW][C]30[/C][C]0.135615[/C][C]1.1427[/C][C]0.128498[/C][/ROW]
[ROW][C]31[/C][C]-0.027143[/C][C]-0.2287[/C][C]0.409877[/C][/ROW]
[ROW][C]32[/C][C]0.093911[/C][C]0.7913[/C][C]0.215699[/C][/ROW]
[ROW][C]33[/C][C]-0.065228[/C][C]-0.5496[/C][C]0.292151[/C][/ROW]
[ROW][C]34[/C][C]-0.131764[/C][C]-1.1103[/C][C]0.135316[/C][/ROW]
[ROW][C]35[/C][C]0.042905[/C][C]0.3615[/C][C]0.359392[/C][/ROW]
[ROW][C]36[/C][C]0.015691[/C][C]0.1322[/C][C]0.447595[/C][/ROW]
[ROW][C]37[/C][C]-0.027536[/C][C]-0.232[/C][C]0.408595[/C][/ROW]
[ROW][C]38[/C][C]-0.049698[/C][C]-0.4188[/C][C]0.338327[/C][/ROW]
[ROW][C]39[/C][C]0.038061[/C][C]0.3207[/C][C]0.374687[/C][/ROW]
[ROW][C]40[/C][C]-0.122329[/C][C]-1.0308[/C][C]0.153076[/C][/ROW]
[ROW][C]41[/C][C]-0.006625[/C][C]-0.0558[/C][C]0.477819[/C][/ROW]
[ROW][C]42[/C][C]0.105954[/C][C]0.8928[/C][C]0.187493[/C][/ROW]
[ROW][C]43[/C][C]-0.10155[/C][C]-0.8557[/C][C]0.197529[/C][/ROW]
[ROW][C]44[/C][C]0.033012[/C][C]0.2782[/C][C]0.390848[/C][/ROW]
[ROW][C]45[/C][C]0.017115[/C][C]0.1442[/C][C]0.442869[/C][/ROW]
[ROW][C]46[/C][C]0.021067[/C][C]0.1775[/C][C]0.429807[/C][/ROW]
[ROW][C]47[/C][C]-0.10608[/C][C]-0.8938[/C][C]0.187212[/C][/ROW]
[ROW][C]48[/C][C]-0.020597[/C][C]-0.1736[/C][C]0.431355[/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
10.332382.80070.003283
2-0.066246-0.55820.289233
30.0903180.7610.224578
40.0018960.0160.493648
50.2221241.87170.032687
60.1269691.06990.144154
7-0.033924-0.28590.387912
80.1373741.15750.125466
90.0805880.6790.249657
100.0807590.68050.249204
110.1891761.5940.057686
120.1156730.97470.166514
13-0.11088-0.93430.17666
14-0.077691-0.65460.257409
150.0209140.17620.43031
16-0.169271-1.42630.079082
17-0.068649-0.57840.282397
180.0264160.22260.412248
19-0.134442-1.13280.130548
20-0.070783-0.59640.276394
21-0.100827-0.84960.199205
220.1939811.63450.053289
23-0.101454-0.85490.197749
24-0.023149-0.19510.422952
25-0.027416-0.2310.408985
26-0.063625-0.53610.296779
27-0.124027-1.04510.149767
28-0.029568-0.24910.401983
29-0.048095-0.40530.343254
300.1356151.14270.128498
31-0.027143-0.22870.409877
320.0939110.79130.215699
33-0.065228-0.54960.292151
34-0.131764-1.11030.135316
350.0429050.36150.359392
360.0156910.13220.447595
37-0.027536-0.2320.408595
38-0.049698-0.41880.338327
390.0380610.32070.374687
40-0.122329-1.03080.153076
41-0.006625-0.05580.477819
420.1059540.89280.187493
43-0.10155-0.85570.197529
440.0330120.27820.390848
450.0171150.14420.442869
460.0210670.17750.429807
47-0.10608-0.89380.187212
48-0.020597-0.17360.431355


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')