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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 computationFri, 23 Oct 2015 12:31:34 +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/2015/Oct/23/t1445599937aweh0kq0531bswa.htm/, Retrieved Mon, 13 May 2024 22:39:40 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=282893, Retrieved Mon, 13 May 2024 22:39:40 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact83

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] [] [2015-10-23 11:31:34] [bfd47bf74fe11b18de27163a0fd6b465] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
83.36
83.61
83.41
83.64
84.06
83.93
84.1
84.37
84.18
84.11
84.56
84.2
84.45
84.28
84.28
84.7
85.04
85.31
85.18
85.02
86.31
86.56
86.4
86.84
87.42
87.28
87.27
87.73
87.32
87.15
87.5
87.43
88.81
89.38
88.83
88.91
89.34
89.56
89.32
89.31
89.45
88.92
89.35
88.89
90.1
90.49
89.96
89.93
90.32
90.24
90.61
91.06
90.81
91.09
91.17
90.87
91.92
92.67
92.03
92.09
92.61
92.19
92.68
92.66
92.77
92.21
92.58
91.9
93.81
94.05
94.51
94.49
94.36
94.72
95.57
95.87
95.93
96.09
95.82
96.06
97.09
97.67
98.53
98.12
98.84
98.98
100.04
99.47
99.84
99.52
99.81
99.55
100.21
101.44
101
101.32
101.84
101.81
101.83
102.18
101.97
101.8
101.69
101.91
102.27
102.73
102.61
102.89

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'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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=282893&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=282893&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=282893&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'Gertrude Mary Cox' @ cox.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.229359-2.37250.009727
2-0.073189-0.75710.225334
3-0.047074-0.48690.313648
40.003320.03430.486333
5-0.109192-1.12950.130608
60.2314982.39460.009188
7-0.069532-0.71920.236778
8-0.06967-0.72070.23634
9-0.005047-0.05220.479232
10-0.217618-2.25110.013213
110.0560070.57930.281787
120.4279674.42691.2e-05
130.0051530.05330.478797
14-0.118504-1.22580.11148
15-0.092995-0.9620.169121
16-0.038204-0.39520.346747
170.003640.03760.485019
180.152361.5760.058986
19-0.186515-1.92930.028169
200.1199031.24030.108792
21-0.173762-1.79740.037546
22-0.083527-0.8640.194759
23-0.078595-0.8130.209013
240.3653623.77930.00013
25-0.006806-0.07040.472003
26-0.049247-0.50940.305756
27-0.074085-0.76630.22258
28-0.068747-0.71110.239276
290.029930.30960.378732
300.0888240.91880.180132
31-0.077615-0.80290.211919
32-0.042283-0.43740.331358
330.0373930.38680.349838
34-0.174628-1.80640.036836
35-0.047302-0.48930.312818
360.270922.80240.003011
370.0656320.67890.249332
38-0.071397-0.73850.230902
39-0.034181-0.35360.362178
40-0.046887-0.4850.314334
41-0.009137-0.09450.462438
420.081990.84810.199134
43-0.107362-1.11060.134622
440.0481240.49780.309823
45-0.064024-0.66230.25461
46-0.082001-0.84820.199104
47-0.046338-0.47930.316342
480.1780541.84180.034137

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.229359 & -2.3725 & 0.009727 \tabularnewline
2 & -0.073189 & -0.7571 & 0.225334 \tabularnewline
3 & -0.047074 & -0.4869 & 0.313648 \tabularnewline
4 & 0.00332 & 0.0343 & 0.486333 \tabularnewline
5 & -0.109192 & -1.1295 & 0.130608 \tabularnewline
6 & 0.231498 & 2.3946 & 0.009188 \tabularnewline
7 & -0.069532 & -0.7192 & 0.236778 \tabularnewline
8 & -0.06967 & -0.7207 & 0.23634 \tabularnewline
9 & -0.005047 & -0.0522 & 0.479232 \tabularnewline
10 & -0.217618 & -2.2511 & 0.013213 \tabularnewline
11 & 0.056007 & 0.5793 & 0.281787 \tabularnewline
12 & 0.427967 & 4.4269 & 1.2e-05 \tabularnewline
13 & 0.005153 & 0.0533 & 0.478797 \tabularnewline
14 & -0.118504 & -1.2258 & 0.11148 \tabularnewline
15 & -0.092995 & -0.962 & 0.169121 \tabularnewline
16 & -0.038204 & -0.3952 & 0.346747 \tabularnewline
17 & 0.00364 & 0.0376 & 0.485019 \tabularnewline
18 & 0.15236 & 1.576 & 0.058986 \tabularnewline
19 & -0.186515 & -1.9293 & 0.028169 \tabularnewline
20 & 0.119903 & 1.2403 & 0.108792 \tabularnewline
21 & -0.173762 & -1.7974 & 0.037546 \tabularnewline
22 & -0.083527 & -0.864 & 0.194759 \tabularnewline
23 & -0.078595 & -0.813 & 0.209013 \tabularnewline
24 & 0.365362 & 3.7793 & 0.00013 \tabularnewline
25 & -0.006806 & -0.0704 & 0.472003 \tabularnewline
26 & -0.049247 & -0.5094 & 0.305756 \tabularnewline
27 & -0.074085 & -0.7663 & 0.22258 \tabularnewline
28 & -0.068747 & -0.7111 & 0.239276 \tabularnewline
29 & 0.02993 & 0.3096 & 0.378732 \tabularnewline
30 & 0.088824 & 0.9188 & 0.180132 \tabularnewline
31 & -0.077615 & -0.8029 & 0.211919 \tabularnewline
32 & -0.042283 & -0.4374 & 0.331358 \tabularnewline
33 & 0.037393 & 0.3868 & 0.349838 \tabularnewline
34 & -0.174628 & -1.8064 & 0.036836 \tabularnewline
35 & -0.047302 & -0.4893 & 0.312818 \tabularnewline
36 & 0.27092 & 2.8024 & 0.003011 \tabularnewline
37 & 0.065632 & 0.6789 & 0.249332 \tabularnewline
38 & -0.071397 & -0.7385 & 0.230902 \tabularnewline
39 & -0.034181 & -0.3536 & 0.362178 \tabularnewline
40 & -0.046887 & -0.485 & 0.314334 \tabularnewline
41 & -0.009137 & -0.0945 & 0.462438 \tabularnewline
42 & 0.08199 & 0.8481 & 0.199134 \tabularnewline
43 & -0.107362 & -1.1106 & 0.134622 \tabularnewline
44 & 0.048124 & 0.4978 & 0.309823 \tabularnewline
45 & -0.064024 & -0.6623 & 0.25461 \tabularnewline
46 & -0.082001 & -0.8482 & 0.199104 \tabularnewline
47 & -0.046338 & -0.4793 & 0.316342 \tabularnewline
48 & 0.178054 & 1.8418 & 0.034137 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=282893&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]-0.229359[/C][C]-2.3725[/C][C]0.009727[/C][/ROW]
[ROW][C]2[/C][C]-0.073189[/C][C]-0.7571[/C][C]0.225334[/C][/ROW]
[ROW][C]3[/C][C]-0.047074[/C][C]-0.4869[/C][C]0.313648[/C][/ROW]
[ROW][C]4[/C][C]0.00332[/C][C]0.0343[/C][C]0.486333[/C][/ROW]
[ROW][C]5[/C][C]-0.109192[/C][C]-1.1295[/C][C]0.130608[/C][/ROW]
[ROW][C]6[/C][C]0.231498[/C][C]2.3946[/C][C]0.009188[/C][/ROW]
[ROW][C]7[/C][C]-0.069532[/C][C]-0.7192[/C][C]0.236778[/C][/ROW]
[ROW][C]8[/C][C]-0.06967[/C][C]-0.7207[/C][C]0.23634[/C][/ROW]
[ROW][C]9[/C][C]-0.005047[/C][C]-0.0522[/C][C]0.479232[/C][/ROW]
[ROW][C]10[/C][C]-0.217618[/C][C]-2.2511[/C][C]0.013213[/C][/ROW]
[ROW][C]11[/C][C]0.056007[/C][C]0.5793[/C][C]0.281787[/C][/ROW]
[ROW][C]12[/C][C]0.427967[/C][C]4.4269[/C][C]1.2e-05[/C][/ROW]
[ROW][C]13[/C][C]0.005153[/C][C]0.0533[/C][C]0.478797[/C][/ROW]
[ROW][C]14[/C][C]-0.118504[/C][C]-1.2258[/C][C]0.11148[/C][/ROW]
[ROW][C]15[/C][C]-0.092995[/C][C]-0.962[/C][C]0.169121[/C][/ROW]
[ROW][C]16[/C][C]-0.038204[/C][C]-0.3952[/C][C]0.346747[/C][/ROW]
[ROW][C]17[/C][C]0.00364[/C][C]0.0376[/C][C]0.485019[/C][/ROW]
[ROW][C]18[/C][C]0.15236[/C][C]1.576[/C][C]0.058986[/C][/ROW]
[ROW][C]19[/C][C]-0.186515[/C][C]-1.9293[/C][C]0.028169[/C][/ROW]
[ROW][C]20[/C][C]0.119903[/C][C]1.2403[/C][C]0.108792[/C][/ROW]
[ROW][C]21[/C][C]-0.173762[/C][C]-1.7974[/C][C]0.037546[/C][/ROW]
[ROW][C]22[/C][C]-0.083527[/C][C]-0.864[/C][C]0.194759[/C][/ROW]
[ROW][C]23[/C][C]-0.078595[/C][C]-0.813[/C][C]0.209013[/C][/ROW]
[ROW][C]24[/C][C]0.365362[/C][C]3.7793[/C][C]0.00013[/C][/ROW]
[ROW][C]25[/C][C]-0.006806[/C][C]-0.0704[/C][C]0.472003[/C][/ROW]
[ROW][C]26[/C][C]-0.049247[/C][C]-0.5094[/C][C]0.305756[/C][/ROW]
[ROW][C]27[/C][C]-0.074085[/C][C]-0.7663[/C][C]0.22258[/C][/ROW]
[ROW][C]28[/C][C]-0.068747[/C][C]-0.7111[/C][C]0.239276[/C][/ROW]
[ROW][C]29[/C][C]0.02993[/C][C]0.3096[/C][C]0.378732[/C][/ROW]
[ROW][C]30[/C][C]0.088824[/C][C]0.9188[/C][C]0.180132[/C][/ROW]
[ROW][C]31[/C][C]-0.077615[/C][C]-0.8029[/C][C]0.211919[/C][/ROW]
[ROW][C]32[/C][C]-0.042283[/C][C]-0.4374[/C][C]0.331358[/C][/ROW]
[ROW][C]33[/C][C]0.037393[/C][C]0.3868[/C][C]0.349838[/C][/ROW]
[ROW][C]34[/C][C]-0.174628[/C][C]-1.8064[/C][C]0.036836[/C][/ROW]
[ROW][C]35[/C][C]-0.047302[/C][C]-0.4893[/C][C]0.312818[/C][/ROW]
[ROW][C]36[/C][C]0.27092[/C][C]2.8024[/C][C]0.003011[/C][/ROW]
[ROW][C]37[/C][C]0.065632[/C][C]0.6789[/C][C]0.249332[/C][/ROW]
[ROW][C]38[/C][C]-0.071397[/C][C]-0.7385[/C][C]0.230902[/C][/ROW]
[ROW][C]39[/C][C]-0.034181[/C][C]-0.3536[/C][C]0.362178[/C][/ROW]
[ROW][C]40[/C][C]-0.046887[/C][C]-0.485[/C][C]0.314334[/C][/ROW]
[ROW][C]41[/C][C]-0.009137[/C][C]-0.0945[/C][C]0.462438[/C][/ROW]
[ROW][C]42[/C][C]0.08199[/C][C]0.8481[/C][C]0.199134[/C][/ROW]
[ROW][C]43[/C][C]-0.107362[/C][C]-1.1106[/C][C]0.134622[/C][/ROW]
[ROW][C]44[/C][C]0.048124[/C][C]0.4978[/C][C]0.309823[/C][/ROW]
[ROW][C]45[/C][C]-0.064024[/C][C]-0.6623[/C][C]0.25461[/C][/ROW]
[ROW][C]46[/C][C]-0.082001[/C][C]-0.8482[/C][C]0.199104[/C][/ROW]
[ROW][C]47[/C][C]-0.046338[/C][C]-0.4793[/C][C]0.316342[/C][/ROW]
[ROW][C]48[/C][C]0.178054[/C][C]1.8418[/C][C]0.034137[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=282893&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=282893&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
1-0.229359-2.37250.009727
2-0.073189-0.75710.225334
3-0.047074-0.48690.313648
40.003320.03430.486333
5-0.109192-1.12950.130608
60.2314982.39460.009188
7-0.069532-0.71920.236778
8-0.06967-0.72070.23634
9-0.005047-0.05220.479232
10-0.217618-2.25110.013213
110.0560070.57930.281787
120.4279674.42691.2e-05
130.0051530.05330.478797
14-0.118504-1.22580.11148
15-0.092995-0.9620.169121
16-0.038204-0.39520.346747
170.003640.03760.485019
180.152361.5760.058986
19-0.186515-1.92930.028169
200.1199031.24030.108792
21-0.173762-1.79740.037546
22-0.083527-0.8640.194759
23-0.078595-0.8130.209013
240.3653623.77930.00013
25-0.006806-0.07040.472003
26-0.049247-0.50940.305756
27-0.074085-0.76630.22258
28-0.068747-0.71110.239276
290.029930.30960.378732
300.0888240.91880.180132
31-0.077615-0.80290.211919
32-0.042283-0.43740.331358
330.0373930.38680.349838
34-0.174628-1.80640.036836
35-0.047302-0.48930.312818
360.270922.80240.003011
370.0656320.67890.249332
38-0.071397-0.73850.230902
39-0.034181-0.35360.362178
40-0.046887-0.4850.314334
41-0.009137-0.09450.462438
420.081990.84810.199134
43-0.107362-1.11060.134622
440.0481240.49780.309823
45-0.064024-0.66230.25461
46-0.082001-0.84820.199104
47-0.046338-0.47930.316342
480.1780541.84180.034137






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.229359-2.37250.009727
2-0.13278-1.37350.086236
3-0.103734-1.0730.142836
4-0.048922-0.50610.30693
5-0.148014-1.53110.064352
60.1710521.76940.03984
70.0021810.02260.491019
8-0.060617-0.6270.26599
9-0.022302-0.23070.408998
10-0.283882-2.93650.002032
11-0.054381-0.56250.287469
120.3986424.12363.7e-05
130.2587542.67660.004304
140.0660360.68310.248016
15-0.162608-1.6820.047739
16-0.101368-1.04860.148372
17-0.000591-0.00610.497569
180.0371060.38380.350933
19-0.226155-2.33940.010586
200.0622830.64430.260392
21-0.045459-0.47020.319574
220.0574020.59380.27696
23-0.198404-2.05230.02129
24-0.035426-0.36640.357377
250.0707880.73220.232813
260.0385710.3990.34535
270.0973731.00720.158047
28-0.0559-0.57820.282161
29-0.09457-0.97820.16508
300.0245860.25430.399867
31-0.02658-0.2750.391942
32-0.115224-1.19190.117971
330.0627540.64910.258822
340.0142070.1470.441721
350.0063860.06610.473728
360.0348620.36060.359551
370.0152120.15740.437629
38-0.049034-0.50720.306524
390.0312480.32320.373574
40-0.01643-0.170.432683
410.0260410.26940.394081
42-0.118476-1.22550.111535
43-0.06035-0.62430.266892
440.0341640.35340.362245
45-0.084465-0.87370.192117
460.0084170.08710.465391
47-0.002248-0.02320.490748
480.0126810.13120.44794

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.229359 & -2.3725 & 0.009727 \tabularnewline
2 & -0.13278 & -1.3735 & 0.086236 \tabularnewline
3 & -0.103734 & -1.073 & 0.142836 \tabularnewline
4 & -0.048922 & -0.5061 & 0.30693 \tabularnewline
5 & -0.148014 & -1.5311 & 0.064352 \tabularnewline
6 & 0.171052 & 1.7694 & 0.03984 \tabularnewline
7 & 0.002181 & 0.0226 & 0.491019 \tabularnewline
8 & -0.060617 & -0.627 & 0.26599 \tabularnewline
9 & -0.022302 & -0.2307 & 0.408998 \tabularnewline
10 & -0.283882 & -2.9365 & 0.002032 \tabularnewline
11 & -0.054381 & -0.5625 & 0.287469 \tabularnewline
12 & 0.398642 & 4.1236 & 3.7e-05 \tabularnewline
13 & 0.258754 & 2.6766 & 0.004304 \tabularnewline
14 & 0.066036 & 0.6831 & 0.248016 \tabularnewline
15 & -0.162608 & -1.682 & 0.047739 \tabularnewline
16 & -0.101368 & -1.0486 & 0.148372 \tabularnewline
17 & -0.000591 & -0.0061 & 0.497569 \tabularnewline
18 & 0.037106 & 0.3838 & 0.350933 \tabularnewline
19 & -0.226155 & -2.3394 & 0.010586 \tabularnewline
20 & 0.062283 & 0.6443 & 0.260392 \tabularnewline
21 & -0.045459 & -0.4702 & 0.319574 \tabularnewline
22 & 0.057402 & 0.5938 & 0.27696 \tabularnewline
23 & -0.198404 & -2.0523 & 0.02129 \tabularnewline
24 & -0.035426 & -0.3664 & 0.357377 \tabularnewline
25 & 0.070788 & 0.7322 & 0.232813 \tabularnewline
26 & 0.038571 & 0.399 & 0.34535 \tabularnewline
27 & 0.097373 & 1.0072 & 0.158047 \tabularnewline
28 & -0.0559 & -0.5782 & 0.282161 \tabularnewline
29 & -0.09457 & -0.9782 & 0.16508 \tabularnewline
30 & 0.024586 & 0.2543 & 0.399867 \tabularnewline
31 & -0.02658 & -0.275 & 0.391942 \tabularnewline
32 & -0.115224 & -1.1919 & 0.117971 \tabularnewline
33 & 0.062754 & 0.6491 & 0.258822 \tabularnewline
34 & 0.014207 & 0.147 & 0.441721 \tabularnewline
35 & 0.006386 & 0.0661 & 0.473728 \tabularnewline
36 & 0.034862 & 0.3606 & 0.359551 \tabularnewline
37 & 0.015212 & 0.1574 & 0.437629 \tabularnewline
38 & -0.049034 & -0.5072 & 0.306524 \tabularnewline
39 & 0.031248 & 0.3232 & 0.373574 \tabularnewline
40 & -0.01643 & -0.17 & 0.432683 \tabularnewline
41 & 0.026041 & 0.2694 & 0.394081 \tabularnewline
42 & -0.118476 & -1.2255 & 0.111535 \tabularnewline
43 & -0.06035 & -0.6243 & 0.266892 \tabularnewline
44 & 0.034164 & 0.3534 & 0.362245 \tabularnewline
45 & -0.084465 & -0.8737 & 0.192117 \tabularnewline
46 & 0.008417 & 0.0871 & 0.465391 \tabularnewline
47 & -0.002248 & -0.0232 & 0.490748 \tabularnewline
48 & 0.012681 & 0.1312 & 0.44794 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=282893&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]-0.229359[/C][C]-2.3725[/C][C]0.009727[/C][/ROW]
[ROW][C]2[/C][C]-0.13278[/C][C]-1.3735[/C][C]0.086236[/C][/ROW]
[ROW][C]3[/C][C]-0.103734[/C][C]-1.073[/C][C]0.142836[/C][/ROW]
[ROW][C]4[/C][C]-0.048922[/C][C]-0.5061[/C][C]0.30693[/C][/ROW]
[ROW][C]5[/C][C]-0.148014[/C][C]-1.5311[/C][C]0.064352[/C][/ROW]
[ROW][C]6[/C][C]0.171052[/C][C]1.7694[/C][C]0.03984[/C][/ROW]
[ROW][C]7[/C][C]0.002181[/C][C]0.0226[/C][C]0.491019[/C][/ROW]
[ROW][C]8[/C][C]-0.060617[/C][C]-0.627[/C][C]0.26599[/C][/ROW]
[ROW][C]9[/C][C]-0.022302[/C][C]-0.2307[/C][C]0.408998[/C][/ROW]
[ROW][C]10[/C][C]-0.283882[/C][C]-2.9365[/C][C]0.002032[/C][/ROW]
[ROW][C]11[/C][C]-0.054381[/C][C]-0.5625[/C][C]0.287469[/C][/ROW]
[ROW][C]12[/C][C]0.398642[/C][C]4.1236[/C][C]3.7e-05[/C][/ROW]
[ROW][C]13[/C][C]0.258754[/C][C]2.6766[/C][C]0.004304[/C][/ROW]
[ROW][C]14[/C][C]0.066036[/C][C]0.6831[/C][C]0.248016[/C][/ROW]
[ROW][C]15[/C][C]-0.162608[/C][C]-1.682[/C][C]0.047739[/C][/ROW]
[ROW][C]16[/C][C]-0.101368[/C][C]-1.0486[/C][C]0.148372[/C][/ROW]
[ROW][C]17[/C][C]-0.000591[/C][C]-0.0061[/C][C]0.497569[/C][/ROW]
[ROW][C]18[/C][C]0.037106[/C][C]0.3838[/C][C]0.350933[/C][/ROW]
[ROW][C]19[/C][C]-0.226155[/C][C]-2.3394[/C][C]0.010586[/C][/ROW]
[ROW][C]20[/C][C]0.062283[/C][C]0.6443[/C][C]0.260392[/C][/ROW]
[ROW][C]21[/C][C]-0.045459[/C][C]-0.4702[/C][C]0.319574[/C][/ROW]
[ROW][C]22[/C][C]0.057402[/C][C]0.5938[/C][C]0.27696[/C][/ROW]
[ROW][C]23[/C][C]-0.198404[/C][C]-2.0523[/C][C]0.02129[/C][/ROW]
[ROW][C]24[/C][C]-0.035426[/C][C]-0.3664[/C][C]0.357377[/C][/ROW]
[ROW][C]25[/C][C]0.070788[/C][C]0.7322[/C][C]0.232813[/C][/ROW]
[ROW][C]26[/C][C]0.038571[/C][C]0.399[/C][C]0.34535[/C][/ROW]
[ROW][C]27[/C][C]0.097373[/C][C]1.0072[/C][C]0.158047[/C][/ROW]
[ROW][C]28[/C][C]-0.0559[/C][C]-0.5782[/C][C]0.282161[/C][/ROW]
[ROW][C]29[/C][C]-0.09457[/C][C]-0.9782[/C][C]0.16508[/C][/ROW]
[ROW][C]30[/C][C]0.024586[/C][C]0.2543[/C][C]0.399867[/C][/ROW]
[ROW][C]31[/C][C]-0.02658[/C][C]-0.275[/C][C]0.391942[/C][/ROW]
[ROW][C]32[/C][C]-0.115224[/C][C]-1.1919[/C][C]0.117971[/C][/ROW]
[ROW][C]33[/C][C]0.062754[/C][C]0.6491[/C][C]0.258822[/C][/ROW]
[ROW][C]34[/C][C]0.014207[/C][C]0.147[/C][C]0.441721[/C][/ROW]
[ROW][C]35[/C][C]0.006386[/C][C]0.0661[/C][C]0.473728[/C][/ROW]
[ROW][C]36[/C][C]0.034862[/C][C]0.3606[/C][C]0.359551[/C][/ROW]
[ROW][C]37[/C][C]0.015212[/C][C]0.1574[/C][C]0.437629[/C][/ROW]
[ROW][C]38[/C][C]-0.049034[/C][C]-0.5072[/C][C]0.306524[/C][/ROW]
[ROW][C]39[/C][C]0.031248[/C][C]0.3232[/C][C]0.373574[/C][/ROW]
[ROW][C]40[/C][C]-0.01643[/C][C]-0.17[/C][C]0.432683[/C][/ROW]
[ROW][C]41[/C][C]0.026041[/C][C]0.2694[/C][C]0.394081[/C][/ROW]
[ROW][C]42[/C][C]-0.118476[/C][C]-1.2255[/C][C]0.111535[/C][/ROW]
[ROW][C]43[/C][C]-0.06035[/C][C]-0.6243[/C][C]0.266892[/C][/ROW]
[ROW][C]44[/C][C]0.034164[/C][C]0.3534[/C][C]0.362245[/C][/ROW]
[ROW][C]45[/C][C]-0.084465[/C][C]-0.8737[/C][C]0.192117[/C][/ROW]
[ROW][C]46[/C][C]0.008417[/C][C]0.0871[/C][C]0.465391[/C][/ROW]
[ROW][C]47[/C][C]-0.002248[/C][C]-0.0232[/C][C]0.490748[/C][/ROW]
[ROW][C]48[/C][C]0.012681[/C][C]0.1312[/C][C]0.44794[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=282893&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=282893&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
1-0.229359-2.37250.009727
2-0.13278-1.37350.086236
3-0.103734-1.0730.142836
4-0.048922-0.50610.30693
5-0.148014-1.53110.064352
60.1710521.76940.03984
70.0021810.02260.491019
8-0.060617-0.6270.26599
9-0.022302-0.23070.408998
10-0.283882-2.93650.002032
11-0.054381-0.56250.287469
120.3986424.12363.7e-05
130.2587542.67660.004304
140.0660360.68310.248016
15-0.162608-1.6820.047739
16-0.101368-1.04860.148372
17-0.000591-0.00610.497569
180.0371060.38380.350933
19-0.226155-2.33940.010586
200.0622830.64430.260392
21-0.045459-0.47020.319574
220.0574020.59380.27696
23-0.198404-2.05230.02129
24-0.035426-0.36640.357377
250.0707880.73220.232813
260.0385710.3990.34535
270.0973731.00720.158047
28-0.0559-0.57820.282161
29-0.09457-0.97820.16508
300.0245860.25430.399867
31-0.02658-0.2750.391942
32-0.115224-1.19190.117971
330.0627540.64910.258822
340.0142070.1470.441721
350.0063860.06610.473728
360.0348620.36060.359551
370.0152120.15740.437629
38-0.049034-0.50720.306524
390.0312480.32320.373574
40-0.01643-0.170.432683
410.0260410.26940.394081
42-0.118476-1.22550.111535
43-0.06035-0.62430.266892
440.0341640.35340.362245
45-0.084465-0.87370.192117
460.0084170.08710.465391
47-0.002248-0.02320.490748
480.0126810.13120.44794


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):
par8 <- ''
par7 <- '0.95'
par6 <- 'White Noise'
par5 <- '12'
par4 <- '0'
par3 <- '1'
par2 <- '1'
par1 <- 'Default'
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')