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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationThu, 11 Dec 2008 07:48:43 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/11/t1229006985k0z5j9qumpigphw.htm/, Retrieved Sun, 19 May 2024 06:28:56 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32279, Retrieved Sun, 19 May 2024 06:28:56 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsPaper , ACF d=1, D=1
Estimated Impact204

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] [loïqueverhasselt] [2008-12-11 14:48:43] [6440ec5a21e5d35520cb2ae6b4b70e45] [Current]
- RMP     [Spectral Analysis] [loïqueverhasselt] [2008-12-11 16:39:02] [0e879b146665902680dd148a904a2646]
- RMP     [Spectral Analysis] [loïqueverhasselt] [2008-12-11 17:09:10] [0e879b146665902680dd148a904a2646]
- RMP     [Spectral Analysis] [loïqueverhasselt] [2008-12-11 17:10:59] [0e879b146665902680dd148a904a2646]
-   P     [(Partial) Autocorrelation Function] [loïqueverhasselt] [2008-12-14 09:35:53] [0e879b146665902680dd148a904a2646]
- RMPD    [ARIMA Backward Selection] [loïqueverhasselt] [2008-12-14 10:17:28] [0e879b146665902680dd148a904a2646]
- RMP     [ARIMA Forecasting] [loïqueverhasselt] [2008-12-14 10:47:19] [0e879b146665902680dd148a904a2646]
Feedback Forum

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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
77.7
78.89
90.2
77.26
80.76
84.93
66.08
71.56
80.78
83.31
85.3
73.94
78.7
81.32
86.8
80.76
84.46
84.21
73.64
70.85
83.78
89.12
78.93
80.54
81.67
82.53
88.2
89.17
83.7
89.79
77.58
70.11
88.07
92.49
83.33
90.05
82.91
88.52
96.42
90.87
86.4
97.47
85.67
79.91
95.73
94.6
91.92
90.38
82.31
87.82
101.29
89.58
87.83
99.95
82.67
84.65
97.83
97.47
97.66
99.14
90.02
100.97
112.48
91.44
108.46
98.41
89.35
92.8
100.43
104.85
108.36
101.54
105.26
101.8
112.36
99.5
104.65
101.13
89.8
87.84
96.41
103.26
100.31
92.33
96.19
96.37
103.06
101.5
101.88
100.85
95.56
87.6
101.18
110.8
101.1
104.42
103.27
100.87
107.8
104.99
100.76
104.46
100.62
87.84
107.31
115.61
103.43
109.93
104.43
106.69
123.1
109.42
101.46
124.48
101.49
100.46
115.51
113.37
115.4
118.2
106.82
110.17
119.91
112.31
110.62
120.37
97.94
103.02
116.36
108.51
122.54
121.32
112.25
109.89
129.58
107.2
118.68
118.25
102.67
104.19
117.74
123.3
122.2
112.71
118.53
115.32
127.36
110.45
122.22
123.39
116.2
109.22
116.98
132.89
125.24
115.68

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'George Udny Yule' @ 72.249.76.132

\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 & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32279&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]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32279&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32279&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'George Udny Yule' @ 72.249.76.132






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.598896-7.16180
2-0.016107-0.19260.42377
30.3420034.08983.6e-05
4-0.302683-3.61960.000204
50.0619780.74120.229908
60.221242.64560.004533
7-0.363964-4.35241.3e-05
80.1916352.29160.011694
90.1163391.39120.083162
10-0.261375-3.12560.001075
110.188482.25390.012862
12-0.021604-0.25830.398255
13-0.192649-2.30380.011339
140.2014112.40850.008645
150.002720.03250.487048
16-0.237611-2.84140.002574
170.2284712.73210.003543
180.0347320.41530.33926
19-0.219168-2.62090.004859
200.1702052.03540.021831
210.0372520.44550.328326
22-0.261213-3.12370.001081
230.3703994.42939e-06
24-0.257925-3.08430.001225
25-0.071984-0.86080.195393
260.3189663.81430.000101
27-0.251368-3.00590.001564
280.0019270.0230.490825
290.2091752.50140.006749
30-0.253671-3.03350.001436
310.0810560.96930.167018
320.1797672.14970.016631
33-0.277172-3.31450.000582
340.0822430.98350.163515
350.2092982.50280.006723
36-0.308518-3.68930.000159
370.1859782.2240.013859
380.0510640.61060.271206
39-0.211353-2.52740.006289
400.1544791.84730.033385
410.0735590.87960.190265
42-0.310217-3.70970.000148
430.3305033.95226.1e-05
44-0.101946-1.21910.112406
45-0.170012-2.03310.021949
460.292343.49590.000315
47-0.153976-1.84130.033826
48-0.151829-1.81560.035762
490.3752134.48697e-06
50-0.363175-4.34291.3e-05
510.12361.4780.070798
520.1461581.74780.041323
53-0.241041-2.88240.002278
540.1591581.90330.029508
550.0362420.43340.332693
56-0.15847-1.8950.030054
570.1130311.35170.08931
580.0102750.12290.451192
59-0.135546-1.62090.053622
600.166941.99630.023899

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.598896 & -7.1618 & 0 \tabularnewline
2 & -0.016107 & -0.1926 & 0.42377 \tabularnewline
3 & 0.342003 & 4.0898 & 3.6e-05 \tabularnewline
4 & -0.302683 & -3.6196 & 0.000204 \tabularnewline
5 & 0.061978 & 0.7412 & 0.229908 \tabularnewline
6 & 0.22124 & 2.6456 & 0.004533 \tabularnewline
7 & -0.363964 & -4.3524 & 1.3e-05 \tabularnewline
8 & 0.191635 & 2.2916 & 0.011694 \tabularnewline
9 & 0.116339 & 1.3912 & 0.083162 \tabularnewline
10 & -0.261375 & -3.1256 & 0.001075 \tabularnewline
11 & 0.18848 & 2.2539 & 0.012862 \tabularnewline
12 & -0.021604 & -0.2583 & 0.398255 \tabularnewline
13 & -0.192649 & -2.3038 & 0.011339 \tabularnewline
14 & 0.201411 & 2.4085 & 0.008645 \tabularnewline
15 & 0.00272 & 0.0325 & 0.487048 \tabularnewline
16 & -0.237611 & -2.8414 & 0.002574 \tabularnewline
17 & 0.228471 & 2.7321 & 0.003543 \tabularnewline
18 & 0.034732 & 0.4153 & 0.33926 \tabularnewline
19 & -0.219168 & -2.6209 & 0.004859 \tabularnewline
20 & 0.170205 & 2.0354 & 0.021831 \tabularnewline
21 & 0.037252 & 0.4455 & 0.328326 \tabularnewline
22 & -0.261213 & -3.1237 & 0.001081 \tabularnewline
23 & 0.370399 & 4.4293 & 9e-06 \tabularnewline
24 & -0.257925 & -3.0843 & 0.001225 \tabularnewline
25 & -0.071984 & -0.8608 & 0.195393 \tabularnewline
26 & 0.318966 & 3.8143 & 0.000101 \tabularnewline
27 & -0.251368 & -3.0059 & 0.001564 \tabularnewline
28 & 0.001927 & 0.023 & 0.490825 \tabularnewline
29 & 0.209175 & 2.5014 & 0.006749 \tabularnewline
30 & -0.253671 & -3.0335 & 0.001436 \tabularnewline
31 & 0.081056 & 0.9693 & 0.167018 \tabularnewline
32 & 0.179767 & 2.1497 & 0.016631 \tabularnewline
33 & -0.277172 & -3.3145 & 0.000582 \tabularnewline
34 & 0.082243 & 0.9835 & 0.163515 \tabularnewline
35 & 0.209298 & 2.5028 & 0.006723 \tabularnewline
36 & -0.308518 & -3.6893 & 0.000159 \tabularnewline
37 & 0.185978 & 2.224 & 0.013859 \tabularnewline
38 & 0.051064 & 0.6106 & 0.271206 \tabularnewline
39 & -0.211353 & -2.5274 & 0.006289 \tabularnewline
40 & 0.154479 & 1.8473 & 0.033385 \tabularnewline
41 & 0.073559 & 0.8796 & 0.190265 \tabularnewline
42 & -0.310217 & -3.7097 & 0.000148 \tabularnewline
43 & 0.330503 & 3.9522 & 6.1e-05 \tabularnewline
44 & -0.101946 & -1.2191 & 0.112406 \tabularnewline
45 & -0.170012 & -2.0331 & 0.021949 \tabularnewline
46 & 0.29234 & 3.4959 & 0.000315 \tabularnewline
47 & -0.153976 & -1.8413 & 0.033826 \tabularnewline
48 & -0.151829 & -1.8156 & 0.035762 \tabularnewline
49 & 0.375213 & 4.4869 & 7e-06 \tabularnewline
50 & -0.363175 & -4.3429 & 1.3e-05 \tabularnewline
51 & 0.1236 & 1.478 & 0.070798 \tabularnewline
52 & 0.146158 & 1.7478 & 0.041323 \tabularnewline
53 & -0.241041 & -2.8824 & 0.002278 \tabularnewline
54 & 0.159158 & 1.9033 & 0.029508 \tabularnewline
55 & 0.036242 & 0.4334 & 0.332693 \tabularnewline
56 & -0.15847 & -1.895 & 0.030054 \tabularnewline
57 & 0.113031 & 1.3517 & 0.08931 \tabularnewline
58 & 0.010275 & 0.1229 & 0.451192 \tabularnewline
59 & -0.135546 & -1.6209 & 0.053622 \tabularnewline
60 & 0.16694 & 1.9963 & 0.023899 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32279&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]-0.598896[/C][C]-7.1618[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.016107[/C][C]-0.1926[/C][C]0.42377[/C][/ROW]
[ROW][C]3[/C][C]0.342003[/C][C]4.0898[/C][C]3.6e-05[/C][/ROW]
[ROW][C]4[/C][C]-0.302683[/C][C]-3.6196[/C][C]0.000204[/C][/ROW]
[ROW][C]5[/C][C]0.061978[/C][C]0.7412[/C][C]0.229908[/C][/ROW]
[ROW][C]6[/C][C]0.22124[/C][C]2.6456[/C][C]0.004533[/C][/ROW]
[ROW][C]7[/C][C]-0.363964[/C][C]-4.3524[/C][C]1.3e-05[/C][/ROW]
[ROW][C]8[/C][C]0.191635[/C][C]2.2916[/C][C]0.011694[/C][/ROW]
[ROW][C]9[/C][C]0.116339[/C][C]1.3912[/C][C]0.083162[/C][/ROW]
[ROW][C]10[/C][C]-0.261375[/C][C]-3.1256[/C][C]0.001075[/C][/ROW]
[ROW][C]11[/C][C]0.18848[/C][C]2.2539[/C][C]0.012862[/C][/ROW]
[ROW][C]12[/C][C]-0.021604[/C][C]-0.2583[/C][C]0.398255[/C][/ROW]
[ROW][C]13[/C][C]-0.192649[/C][C]-2.3038[/C][C]0.011339[/C][/ROW]
[ROW][C]14[/C][C]0.201411[/C][C]2.4085[/C][C]0.008645[/C][/ROW]
[ROW][C]15[/C][C]0.00272[/C][C]0.0325[/C][C]0.487048[/C][/ROW]
[ROW][C]16[/C][C]-0.237611[/C][C]-2.8414[/C][C]0.002574[/C][/ROW]
[ROW][C]17[/C][C]0.228471[/C][C]2.7321[/C][C]0.003543[/C][/ROW]
[ROW][C]18[/C][C]0.034732[/C][C]0.4153[/C][C]0.33926[/C][/ROW]
[ROW][C]19[/C][C]-0.219168[/C][C]-2.6209[/C][C]0.004859[/C][/ROW]
[ROW][C]20[/C][C]0.170205[/C][C]2.0354[/C][C]0.021831[/C][/ROW]
[ROW][C]21[/C][C]0.037252[/C][C]0.4455[/C][C]0.328326[/C][/ROW]
[ROW][C]22[/C][C]-0.261213[/C][C]-3.1237[/C][C]0.001081[/C][/ROW]
[ROW][C]23[/C][C]0.370399[/C][C]4.4293[/C][C]9e-06[/C][/ROW]
[ROW][C]24[/C][C]-0.257925[/C][C]-3.0843[/C][C]0.001225[/C][/ROW]
[ROW][C]25[/C][C]-0.071984[/C][C]-0.8608[/C][C]0.195393[/C][/ROW]
[ROW][C]26[/C][C]0.318966[/C][C]3.8143[/C][C]0.000101[/C][/ROW]
[ROW][C]27[/C][C]-0.251368[/C][C]-3.0059[/C][C]0.001564[/C][/ROW]
[ROW][C]28[/C][C]0.001927[/C][C]0.023[/C][C]0.490825[/C][/ROW]
[ROW][C]29[/C][C]0.209175[/C][C]2.5014[/C][C]0.006749[/C][/ROW]
[ROW][C]30[/C][C]-0.253671[/C][C]-3.0335[/C][C]0.001436[/C][/ROW]
[ROW][C]31[/C][C]0.081056[/C][C]0.9693[/C][C]0.167018[/C][/ROW]
[ROW][C]32[/C][C]0.179767[/C][C]2.1497[/C][C]0.016631[/C][/ROW]
[ROW][C]33[/C][C]-0.277172[/C][C]-3.3145[/C][C]0.000582[/C][/ROW]
[ROW][C]34[/C][C]0.082243[/C][C]0.9835[/C][C]0.163515[/C][/ROW]
[ROW][C]35[/C][C]0.209298[/C][C]2.5028[/C][C]0.006723[/C][/ROW]
[ROW][C]36[/C][C]-0.308518[/C][C]-3.6893[/C][C]0.000159[/C][/ROW]
[ROW][C]37[/C][C]0.185978[/C][C]2.224[/C][C]0.013859[/C][/ROW]
[ROW][C]38[/C][C]0.051064[/C][C]0.6106[/C][C]0.271206[/C][/ROW]
[ROW][C]39[/C][C]-0.211353[/C][C]-2.5274[/C][C]0.006289[/C][/ROW]
[ROW][C]40[/C][C]0.154479[/C][C]1.8473[/C][C]0.033385[/C][/ROW]
[ROW][C]41[/C][C]0.073559[/C][C]0.8796[/C][C]0.190265[/C][/ROW]
[ROW][C]42[/C][C]-0.310217[/C][C]-3.7097[/C][C]0.000148[/C][/ROW]
[ROW][C]43[/C][C]0.330503[/C][C]3.9522[/C][C]6.1e-05[/C][/ROW]
[ROW][C]44[/C][C]-0.101946[/C][C]-1.2191[/C][C]0.112406[/C][/ROW]
[ROW][C]45[/C][C]-0.170012[/C][C]-2.0331[/C][C]0.021949[/C][/ROW]
[ROW][C]46[/C][C]0.29234[/C][C]3.4959[/C][C]0.000315[/C][/ROW]
[ROW][C]47[/C][C]-0.153976[/C][C]-1.8413[/C][C]0.033826[/C][/ROW]
[ROW][C]48[/C][C]-0.151829[/C][C]-1.8156[/C][C]0.035762[/C][/ROW]
[ROW][C]49[/C][C]0.375213[/C][C]4.4869[/C][C]7e-06[/C][/ROW]
[ROW][C]50[/C][C]-0.363175[/C][C]-4.3429[/C][C]1.3e-05[/C][/ROW]
[ROW][C]51[/C][C]0.1236[/C][C]1.478[/C][C]0.070798[/C][/ROW]
[ROW][C]52[/C][C]0.146158[/C][C]1.7478[/C][C]0.041323[/C][/ROW]
[ROW][C]53[/C][C]-0.241041[/C][C]-2.8824[/C][C]0.002278[/C][/ROW]
[ROW][C]54[/C][C]0.159158[/C][C]1.9033[/C][C]0.029508[/C][/ROW]
[ROW][C]55[/C][C]0.036242[/C][C]0.4334[/C][C]0.332693[/C][/ROW]
[ROW][C]56[/C][C]-0.15847[/C][C]-1.895[/C][C]0.030054[/C][/ROW]
[ROW][C]57[/C][C]0.113031[/C][C]1.3517[/C][C]0.08931[/C][/ROW]
[ROW][C]58[/C][C]0.010275[/C][C]0.1229[/C][C]0.451192[/C][/ROW]
[ROW][C]59[/C][C]-0.135546[/C][C]-1.6209[/C][C]0.053622[/C][/ROW]
[ROW][C]60[/C][C]0.16694[/C][C]1.9963[/C][C]0.023899[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32279&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32279&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
1-0.598896-7.16180
2-0.016107-0.19260.42377
30.3420034.08983.6e-05
4-0.302683-3.61960.000204
50.0619780.74120.229908
60.221242.64560.004533
7-0.363964-4.35241.3e-05
80.1916352.29160.011694
90.1163391.39120.083162
10-0.261375-3.12560.001075
110.188482.25390.012862
12-0.021604-0.25830.398255
13-0.192649-2.30380.011339
140.2014112.40850.008645
150.002720.03250.487048
16-0.237611-2.84140.002574
170.2284712.73210.003543
180.0347320.41530.33926
19-0.219168-2.62090.004859
200.1702052.03540.021831
210.0372520.44550.328326
22-0.261213-3.12370.001081
230.3703994.42939e-06
24-0.257925-3.08430.001225
25-0.071984-0.86080.195393
260.3189663.81430.000101
27-0.251368-3.00590.001564
280.0019270.0230.490825
290.2091752.50140.006749
30-0.253671-3.03350.001436
310.0810560.96930.167018
320.1797672.14970.016631
33-0.277172-3.31450.000582
340.0822430.98350.163515
350.2092982.50280.006723
36-0.308518-3.68930.000159
370.1859782.2240.013859
380.0510640.61060.271206
39-0.211353-2.52740.006289
400.1544791.84730.033385
410.0735590.87960.190265
42-0.310217-3.70970.000148
430.3305033.95226.1e-05
44-0.101946-1.21910.112406
45-0.170012-2.03310.021949
460.292343.49590.000315
47-0.153976-1.84130.033826
48-0.151829-1.81560.035762
490.3752134.48697e-06
50-0.363175-4.34291.3e-05
510.12361.4780.070798
520.1461581.74780.041323
53-0.241041-2.88240.002278
540.1591581.90330.029508
550.0362420.43340.332693
56-0.15847-1.8950.030054
570.1130311.35170.08931
580.0102750.12290.451192
59-0.135546-1.62090.053622
600.166941.99630.023899






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.598896-7.16180
2-0.58439-6.98830
3-0.055099-0.65890.255514
4-0.024708-0.29550.384035
5-0.06736-0.80550.210933
60.1993592.3840.009219
7-0.078908-0.94360.173483
8-0.182649-2.18420.01529
9-0.002447-0.02930.48835
100.0285770.34170.366527
110.0469520.56150.287681
12-0.001453-0.01740.493079
13-0.195755-2.34090.01031
14-0.28867-3.4520.000366
15-0.031357-0.3750.354119
16-0.080096-0.95780.169888
17-0.134759-1.61150.054639
180.1704762.03860.021666
190.1282861.53410.063611
20-0.14542-1.7390.042096
210.0317370.37950.352433
22-0.130571-1.56140.06032
230.0854971.02240.154161
24-0.005152-0.06160.475479
25-0.203607-2.43480.008066
26-0.164627-1.96870.025463
27-0.064502-0.77130.220891
28-0.009492-0.11350.454892
29-0.008986-0.10750.45729
300.0888841.06290.144809
31-0.047703-0.57040.284634
32-0.074161-0.88680.188329
330.0410680.49110.312052
34-0.139193-1.66450.0491
350.0685540.81980.206851
36-0.006228-0.07450.470368
37-0.113723-1.35990.087995
38-0.07991-0.95560.170448
390.0378950.45320.325562
40-0.108477-1.29720.098327
410.0136730.16350.435175
42-0.096914-1.15890.124209
43-0.00755-0.09030.464096
44-0.048526-0.58030.281319
450.0146830.17560.430433
460.0001240.00150.499411
470.1076981.28790.099933
48-0.09868-1.180.119971
49-0.051676-0.6180.268792
50-0.221423-2.64780.004505
510.0403060.4820.315275
520.0150240.17970.428835
53-0.034516-0.41270.340205
540.054720.65440.256966
55-0.014008-0.16750.433602
560.0077120.09220.463326
570.0951961.13840.128433
58-0.105259-1.25870.105091
59-0.056702-0.67810.249416
600.0311410.37240.355077

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.598896 & -7.1618 & 0 \tabularnewline
2 & -0.58439 & -6.9883 & 0 \tabularnewline
3 & -0.055099 & -0.6589 & 0.255514 \tabularnewline
4 & -0.024708 & -0.2955 & 0.384035 \tabularnewline
5 & -0.06736 & -0.8055 & 0.210933 \tabularnewline
6 & 0.199359 & 2.384 & 0.009219 \tabularnewline
7 & -0.078908 & -0.9436 & 0.173483 \tabularnewline
8 & -0.182649 & -2.1842 & 0.01529 \tabularnewline
9 & -0.002447 & -0.0293 & 0.48835 \tabularnewline
10 & 0.028577 & 0.3417 & 0.366527 \tabularnewline
11 & 0.046952 & 0.5615 & 0.287681 \tabularnewline
12 & -0.001453 & -0.0174 & 0.493079 \tabularnewline
13 & -0.195755 & -2.3409 & 0.01031 \tabularnewline
14 & -0.28867 & -3.452 & 0.000366 \tabularnewline
15 & -0.031357 & -0.375 & 0.354119 \tabularnewline
16 & -0.080096 & -0.9578 & 0.169888 \tabularnewline
17 & -0.134759 & -1.6115 & 0.054639 \tabularnewline
18 & 0.170476 & 2.0386 & 0.021666 \tabularnewline
19 & 0.128286 & 1.5341 & 0.063611 \tabularnewline
20 & -0.14542 & -1.739 & 0.042096 \tabularnewline
21 & 0.031737 & 0.3795 & 0.352433 \tabularnewline
22 & -0.130571 & -1.5614 & 0.06032 \tabularnewline
23 & 0.085497 & 1.0224 & 0.154161 \tabularnewline
24 & -0.005152 & -0.0616 & 0.475479 \tabularnewline
25 & -0.203607 & -2.4348 & 0.008066 \tabularnewline
26 & -0.164627 & -1.9687 & 0.025463 \tabularnewline
27 & -0.064502 & -0.7713 & 0.220891 \tabularnewline
28 & -0.009492 & -0.1135 & 0.454892 \tabularnewline
29 & -0.008986 & -0.1075 & 0.45729 \tabularnewline
30 & 0.088884 & 1.0629 & 0.144809 \tabularnewline
31 & -0.047703 & -0.5704 & 0.284634 \tabularnewline
32 & -0.074161 & -0.8868 & 0.188329 \tabularnewline
33 & 0.041068 & 0.4911 & 0.312052 \tabularnewline
34 & -0.139193 & -1.6645 & 0.0491 \tabularnewline
35 & 0.068554 & 0.8198 & 0.206851 \tabularnewline
36 & -0.006228 & -0.0745 & 0.470368 \tabularnewline
37 & -0.113723 & -1.3599 & 0.087995 \tabularnewline
38 & -0.07991 & -0.9556 & 0.170448 \tabularnewline
39 & 0.037895 & 0.4532 & 0.325562 \tabularnewline
40 & -0.108477 & -1.2972 & 0.098327 \tabularnewline
41 & 0.013673 & 0.1635 & 0.435175 \tabularnewline
42 & -0.096914 & -1.1589 & 0.124209 \tabularnewline
43 & -0.00755 & -0.0903 & 0.464096 \tabularnewline
44 & -0.048526 & -0.5803 & 0.281319 \tabularnewline
45 & 0.014683 & 0.1756 & 0.430433 \tabularnewline
46 & 0.000124 & 0.0015 & 0.499411 \tabularnewline
47 & 0.107698 & 1.2879 & 0.099933 \tabularnewline
48 & -0.09868 & -1.18 & 0.119971 \tabularnewline
49 & -0.051676 & -0.618 & 0.268792 \tabularnewline
50 & -0.221423 & -2.6478 & 0.004505 \tabularnewline
51 & 0.040306 & 0.482 & 0.315275 \tabularnewline
52 & 0.015024 & 0.1797 & 0.428835 \tabularnewline
53 & -0.034516 & -0.4127 & 0.340205 \tabularnewline
54 & 0.05472 & 0.6544 & 0.256966 \tabularnewline
55 & -0.014008 & -0.1675 & 0.433602 \tabularnewline
56 & 0.007712 & 0.0922 & 0.463326 \tabularnewline
57 & 0.095196 & 1.1384 & 0.128433 \tabularnewline
58 & -0.105259 & -1.2587 & 0.105091 \tabularnewline
59 & -0.056702 & -0.6781 & 0.249416 \tabularnewline
60 & 0.031141 & 0.3724 & 0.355077 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32279&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]-0.598896[/C][C]-7.1618[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.58439[/C][C]-6.9883[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]-0.055099[/C][C]-0.6589[/C][C]0.255514[/C][/ROW]
[ROW][C]4[/C][C]-0.024708[/C][C]-0.2955[/C][C]0.384035[/C][/ROW]
[ROW][C]5[/C][C]-0.06736[/C][C]-0.8055[/C][C]0.210933[/C][/ROW]
[ROW][C]6[/C][C]0.199359[/C][C]2.384[/C][C]0.009219[/C][/ROW]
[ROW][C]7[/C][C]-0.078908[/C][C]-0.9436[/C][C]0.173483[/C][/ROW]
[ROW][C]8[/C][C]-0.182649[/C][C]-2.1842[/C][C]0.01529[/C][/ROW]
[ROW][C]9[/C][C]-0.002447[/C][C]-0.0293[/C][C]0.48835[/C][/ROW]
[ROW][C]10[/C][C]0.028577[/C][C]0.3417[/C][C]0.366527[/C][/ROW]
[ROW][C]11[/C][C]0.046952[/C][C]0.5615[/C][C]0.287681[/C][/ROW]
[ROW][C]12[/C][C]-0.001453[/C][C]-0.0174[/C][C]0.493079[/C][/ROW]
[ROW][C]13[/C][C]-0.195755[/C][C]-2.3409[/C][C]0.01031[/C][/ROW]
[ROW][C]14[/C][C]-0.28867[/C][C]-3.452[/C][C]0.000366[/C][/ROW]
[ROW][C]15[/C][C]-0.031357[/C][C]-0.375[/C][C]0.354119[/C][/ROW]
[ROW][C]16[/C][C]-0.080096[/C][C]-0.9578[/C][C]0.169888[/C][/ROW]
[ROW][C]17[/C][C]-0.134759[/C][C]-1.6115[/C][C]0.054639[/C][/ROW]
[ROW][C]18[/C][C]0.170476[/C][C]2.0386[/C][C]0.021666[/C][/ROW]
[ROW][C]19[/C][C]0.128286[/C][C]1.5341[/C][C]0.063611[/C][/ROW]
[ROW][C]20[/C][C]-0.14542[/C][C]-1.739[/C][C]0.042096[/C][/ROW]
[ROW][C]21[/C][C]0.031737[/C][C]0.3795[/C][C]0.352433[/C][/ROW]
[ROW][C]22[/C][C]-0.130571[/C][C]-1.5614[/C][C]0.06032[/C][/ROW]
[ROW][C]23[/C][C]0.085497[/C][C]1.0224[/C][C]0.154161[/C][/ROW]
[ROW][C]24[/C][C]-0.005152[/C][C]-0.0616[/C][C]0.475479[/C][/ROW]
[ROW][C]25[/C][C]-0.203607[/C][C]-2.4348[/C][C]0.008066[/C][/ROW]
[ROW][C]26[/C][C]-0.164627[/C][C]-1.9687[/C][C]0.025463[/C][/ROW]
[ROW][C]27[/C][C]-0.064502[/C][C]-0.7713[/C][C]0.220891[/C][/ROW]
[ROW][C]28[/C][C]-0.009492[/C][C]-0.1135[/C][C]0.454892[/C][/ROW]
[ROW][C]29[/C][C]-0.008986[/C][C]-0.1075[/C][C]0.45729[/C][/ROW]
[ROW][C]30[/C][C]0.088884[/C][C]1.0629[/C][C]0.144809[/C][/ROW]
[ROW][C]31[/C][C]-0.047703[/C][C]-0.5704[/C][C]0.284634[/C][/ROW]
[ROW][C]32[/C][C]-0.074161[/C][C]-0.8868[/C][C]0.188329[/C][/ROW]
[ROW][C]33[/C][C]0.041068[/C][C]0.4911[/C][C]0.312052[/C][/ROW]
[ROW][C]34[/C][C]-0.139193[/C][C]-1.6645[/C][C]0.0491[/C][/ROW]
[ROW][C]35[/C][C]0.068554[/C][C]0.8198[/C][C]0.206851[/C][/ROW]
[ROW][C]36[/C][C]-0.006228[/C][C]-0.0745[/C][C]0.470368[/C][/ROW]
[ROW][C]37[/C][C]-0.113723[/C][C]-1.3599[/C][C]0.087995[/C][/ROW]
[ROW][C]38[/C][C]-0.07991[/C][C]-0.9556[/C][C]0.170448[/C][/ROW]
[ROW][C]39[/C][C]0.037895[/C][C]0.4532[/C][C]0.325562[/C][/ROW]
[ROW][C]40[/C][C]-0.108477[/C][C]-1.2972[/C][C]0.098327[/C][/ROW]
[ROW][C]41[/C][C]0.013673[/C][C]0.1635[/C][C]0.435175[/C][/ROW]
[ROW][C]42[/C][C]-0.096914[/C][C]-1.1589[/C][C]0.124209[/C][/ROW]
[ROW][C]43[/C][C]-0.00755[/C][C]-0.0903[/C][C]0.464096[/C][/ROW]
[ROW][C]44[/C][C]-0.048526[/C][C]-0.5803[/C][C]0.281319[/C][/ROW]
[ROW][C]45[/C][C]0.014683[/C][C]0.1756[/C][C]0.430433[/C][/ROW]
[ROW][C]46[/C][C]0.000124[/C][C]0.0015[/C][C]0.499411[/C][/ROW]
[ROW][C]47[/C][C]0.107698[/C][C]1.2879[/C][C]0.099933[/C][/ROW]
[ROW][C]48[/C][C]-0.09868[/C][C]-1.18[/C][C]0.119971[/C][/ROW]
[ROW][C]49[/C][C]-0.051676[/C][C]-0.618[/C][C]0.268792[/C][/ROW]
[ROW][C]50[/C][C]-0.221423[/C][C]-2.6478[/C][C]0.004505[/C][/ROW]
[ROW][C]51[/C][C]0.040306[/C][C]0.482[/C][C]0.315275[/C][/ROW]
[ROW][C]52[/C][C]0.015024[/C][C]0.1797[/C][C]0.428835[/C][/ROW]
[ROW][C]53[/C][C]-0.034516[/C][C]-0.4127[/C][C]0.340205[/C][/ROW]
[ROW][C]54[/C][C]0.05472[/C][C]0.6544[/C][C]0.256966[/C][/ROW]
[ROW][C]55[/C][C]-0.014008[/C][C]-0.1675[/C][C]0.433602[/C][/ROW]
[ROW][C]56[/C][C]0.007712[/C][C]0.0922[/C][C]0.463326[/C][/ROW]
[ROW][C]57[/C][C]0.095196[/C][C]1.1384[/C][C]0.128433[/C][/ROW]
[ROW][C]58[/C][C]-0.105259[/C][C]-1.2587[/C][C]0.105091[/C][/ROW]
[ROW][C]59[/C][C]-0.056702[/C][C]-0.6781[/C][C]0.249416[/C][/ROW]
[ROW][C]60[/C][C]0.031141[/C][C]0.3724[/C][C]0.355077[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32279&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32279&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
1-0.598896-7.16180
2-0.58439-6.98830
3-0.055099-0.65890.255514
4-0.024708-0.29550.384035
5-0.06736-0.80550.210933
60.1993592.3840.009219
7-0.078908-0.94360.173483
8-0.182649-2.18420.01529
9-0.002447-0.02930.48835
100.0285770.34170.366527
110.0469520.56150.287681
12-0.001453-0.01740.493079
13-0.195755-2.34090.01031
14-0.28867-3.4520.000366
15-0.031357-0.3750.354119
16-0.080096-0.95780.169888
17-0.134759-1.61150.054639
180.1704762.03860.021666
190.1282861.53410.063611
20-0.14542-1.7390.042096
210.0317370.37950.352433
22-0.130571-1.56140.06032
230.0854971.02240.154161
24-0.005152-0.06160.475479
25-0.203607-2.43480.008066
26-0.164627-1.96870.025463
27-0.064502-0.77130.220891
28-0.009492-0.11350.454892
29-0.008986-0.10750.45729
300.0888841.06290.144809
31-0.047703-0.57040.284634
32-0.074161-0.88680.188329
330.0410680.49110.312052
34-0.139193-1.66450.0491
350.0685540.81980.206851
36-0.006228-0.07450.470368
37-0.113723-1.35990.087995
38-0.07991-0.95560.170448
390.0378950.45320.325562
40-0.108477-1.29720.098327
410.0136730.16350.435175
42-0.096914-1.15890.124209
43-0.00755-0.09030.464096
44-0.048526-0.58030.281319
450.0146830.17560.430433
460.0001240.00150.499411
470.1076981.28790.099933
48-0.09868-1.180.119971
49-0.051676-0.6180.268792
50-0.221423-2.64780.004505
510.0403060.4820.315275
520.0150240.17970.428835
53-0.034516-0.41270.340205
540.054720.65440.256966
55-0.014008-0.16750.433602
560.0077120.09220.463326
570.0951961.13840.128433
58-0.105259-1.25870.105091
59-0.056702-0.67810.249416
600.0311410.37240.355077


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ;
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 (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x,par1,main='Autocorrelation',xlab='lags',ylab='ACF')
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
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')