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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 Oct 2014 12:00:28 +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/2014/Oct/16/t14134572513u0b9k9mlr9xqqh.htm/, Retrieved Mon, 13 May 2024 06:17:55 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=242163, Retrieved Mon, 13 May 2024 06:17:55 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact78

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] [] [2014-10-16 10:18:47] [3d50c3f1d1505d45371c80c331b9aa00]
- R  D    [(Partial) Autocorrelation Function] [] [2014-10-16 11:00:28] [3b96c46cffecdf3c11148678d326f85c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
93,6
103,5
127
108
117,5
111,5
137,6
122,2
103,2
86,9
124,4
104,8
113,6
101,6
148,5
121,2
114,1
108,3
117,2
128,7
118
116,5
131,7
139,9
129,4
107,4
96,1
126,5
110
116,4
109,8
148
124,7
120,5
111,4
117
141,7
123,4
120
132,1
146,7
133
122,5
99,6
122,7
115
139
117,8
125,5
127,5
124,7
134,5
121,3
126,7
127,5
117,7
123
132,1
124,3
113,1
89,2
121,7
108
105,3
85,3
105,3
98,6
114,6
72,2
92,1
97,2
87,1
78,6
78,1
93
83,2
81
65,9
88,6
78,5
85,7
76,3
96,8
86,3
83,8
76,8
85,6
119,2
93,9
91,4
95,7
112,3
99,8
95,2
82,8
111,3
96,5
108,2
97
124,4
109,9
100
99,3
117,6
131,5
116,1
114,2
116,8
116,5
115,8
105,4
89,2
115,8
103,5
111,4
106,4
128,4
115,4
112,7
107,7
111
129,8
116,2
130,5
142,9
159,9
144,4
84,1
75
100,7
86,6
106,8
97,4
113
105,7
113,2
76,9
87,3
103,7
89,3
92,1
92,9
112,2
99
88,7
74,6
101,5
88,3
119,7
120,7
153,5
131,3
102
76
89,3
105,3
90,2
97,7
94,4
103,5
98,5
89,2

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'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=242163&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=242163&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=242163&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'Sir Maurice George Kendall' @ kendall.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.5693247.24630
20.4334345.51670
30.2869983.65290.000175
40.4521955.75550
50.3250234.13692.8e-05
60.2356982.99990.001564
70.2758443.51090.000289
80.4756086.05350
90.4440385.65170
100.2236612.84670.002494
110.1463621.86290.032145
120.2013412.56270.005649
130.2633653.35210.000499
140.0611570.77840.218733
150.1356221.72620.04311
160.187842.39080.008979
170.3914144.98191e-06
180.1080361.37510.085504
190.0290040.36920.356243
20-0.046123-0.58710.278992
210.0542130.690.245584
22-0.055368-0.70470.240997
23-0.127656-1.62480.053075
24-0.07877-1.00260.15878
250.1135771.44560.075111
260.0863671.09930.136641
27-0.110809-1.41040.080173
28-0.174811-2.2250.013732
29-0.141549-1.80160.036732
30-0.079749-1.0150.155801
31-0.248395-3.16160.000937
32-0.215673-2.74510.003367
33-0.200294-2.54930.005861
34-0.005566-0.07080.471804
35-0.21462-2.73170.0035
36-0.219668-2.79590.002901
37-0.29237-3.72130.000137
38-0.145599-1.85320.032838
39-0.22592-2.87550.002288
40-0.281497-3.58290.000225
41-0.27395-3.48680.000315
42-0.130416-1.65990.049432
43-0.10401-1.32380.093712
44-0.203378-2.58860.005257
45-0.203309-2.58770.00527
46-0.168522-2.14490.016724
47-0.072614-0.92420.178371
48-0.207885-2.64590.004475
49-0.191323-2.43510.007985
50-0.163339-2.0790.019598
510.0319380.40650.342453
52-0.127396-1.62150.053429
53-0.126517-1.61030.05464
54-0.180313-2.2950.011508
55-0.007782-0.09910.460609
56-0.075004-0.95470.170588
57-0.107702-1.37080.086164
58-0.088346-1.12450.131239
590.0678470.86360.194554
600.0550780.7010.242145

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.569324 & 7.2463 & 0 \tabularnewline
2 & 0.433434 & 5.5167 & 0 \tabularnewline
3 & 0.286998 & 3.6529 & 0.000175 \tabularnewline
4 & 0.452195 & 5.7555 & 0 \tabularnewline
5 & 0.325023 & 4.1369 & 2.8e-05 \tabularnewline
6 & 0.235698 & 2.9999 & 0.001564 \tabularnewline
7 & 0.275844 & 3.5109 & 0.000289 \tabularnewline
8 & 0.475608 & 6.0535 & 0 \tabularnewline
9 & 0.444038 & 5.6517 & 0 \tabularnewline
10 & 0.223661 & 2.8467 & 0.002494 \tabularnewline
11 & 0.146362 & 1.8629 & 0.032145 \tabularnewline
12 & 0.201341 & 2.5627 & 0.005649 \tabularnewline
13 & 0.263365 & 3.3521 & 0.000499 \tabularnewline
14 & 0.061157 & 0.7784 & 0.218733 \tabularnewline
15 & 0.135622 & 1.7262 & 0.04311 \tabularnewline
16 & 0.18784 & 2.3908 & 0.008979 \tabularnewline
17 & 0.391414 & 4.9819 & 1e-06 \tabularnewline
18 & 0.108036 & 1.3751 & 0.085504 \tabularnewline
19 & 0.029004 & 0.3692 & 0.356243 \tabularnewline
20 & -0.046123 & -0.5871 & 0.278992 \tabularnewline
21 & 0.054213 & 0.69 & 0.245584 \tabularnewline
22 & -0.055368 & -0.7047 & 0.240997 \tabularnewline
23 & -0.127656 & -1.6248 & 0.053075 \tabularnewline
24 & -0.07877 & -1.0026 & 0.15878 \tabularnewline
25 & 0.113577 & 1.4456 & 0.075111 \tabularnewline
26 & 0.086367 & 1.0993 & 0.136641 \tabularnewline
27 & -0.110809 & -1.4104 & 0.080173 \tabularnewline
28 & -0.174811 & -2.225 & 0.013732 \tabularnewline
29 & -0.141549 & -1.8016 & 0.036732 \tabularnewline
30 & -0.079749 & -1.015 & 0.155801 \tabularnewline
31 & -0.248395 & -3.1616 & 0.000937 \tabularnewline
32 & -0.215673 & -2.7451 & 0.003367 \tabularnewline
33 & -0.200294 & -2.5493 & 0.005861 \tabularnewline
34 & -0.005566 & -0.0708 & 0.471804 \tabularnewline
35 & -0.21462 & -2.7317 & 0.0035 \tabularnewline
36 & -0.219668 & -2.7959 & 0.002901 \tabularnewline
37 & -0.29237 & -3.7213 & 0.000137 \tabularnewline
38 & -0.145599 & -1.8532 & 0.032838 \tabularnewline
39 & -0.22592 & -2.8755 & 0.002288 \tabularnewline
40 & -0.281497 & -3.5829 & 0.000225 \tabularnewline
41 & -0.27395 & -3.4868 & 0.000315 \tabularnewline
42 & -0.130416 & -1.6599 & 0.049432 \tabularnewline
43 & -0.10401 & -1.3238 & 0.093712 \tabularnewline
44 & -0.203378 & -2.5886 & 0.005257 \tabularnewline
45 & -0.203309 & -2.5877 & 0.00527 \tabularnewline
46 & -0.168522 & -2.1449 & 0.016724 \tabularnewline
47 & -0.072614 & -0.9242 & 0.178371 \tabularnewline
48 & -0.207885 & -2.6459 & 0.004475 \tabularnewline
49 & -0.191323 & -2.4351 & 0.007985 \tabularnewline
50 & -0.163339 & -2.079 & 0.019598 \tabularnewline
51 & 0.031938 & 0.4065 & 0.342453 \tabularnewline
52 & -0.127396 & -1.6215 & 0.053429 \tabularnewline
53 & -0.126517 & -1.6103 & 0.05464 \tabularnewline
54 & -0.180313 & -2.295 & 0.011508 \tabularnewline
55 & -0.007782 & -0.0991 & 0.460609 \tabularnewline
56 & -0.075004 & -0.9547 & 0.170588 \tabularnewline
57 & -0.107702 & -1.3708 & 0.086164 \tabularnewline
58 & -0.088346 & -1.1245 & 0.131239 \tabularnewline
59 & 0.067847 & 0.8636 & 0.194554 \tabularnewline
60 & 0.055078 & 0.701 & 0.242145 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=242163&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]0.569324[/C][C]7.2463[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.433434[/C][C]5.5167[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.286998[/C][C]3.6529[/C][C]0.000175[/C][/ROW]
[ROW][C]4[/C][C]0.452195[/C][C]5.7555[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.325023[/C][C]4.1369[/C][C]2.8e-05[/C][/ROW]
[ROW][C]6[/C][C]0.235698[/C][C]2.9999[/C][C]0.001564[/C][/ROW]
[ROW][C]7[/C][C]0.275844[/C][C]3.5109[/C][C]0.000289[/C][/ROW]
[ROW][C]8[/C][C]0.475608[/C][C]6.0535[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.444038[/C][C]5.6517[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.223661[/C][C]2.8467[/C][C]0.002494[/C][/ROW]
[ROW][C]11[/C][C]0.146362[/C][C]1.8629[/C][C]0.032145[/C][/ROW]
[ROW][C]12[/C][C]0.201341[/C][C]2.5627[/C][C]0.005649[/C][/ROW]
[ROW][C]13[/C][C]0.263365[/C][C]3.3521[/C][C]0.000499[/C][/ROW]
[ROW][C]14[/C][C]0.061157[/C][C]0.7784[/C][C]0.218733[/C][/ROW]
[ROW][C]15[/C][C]0.135622[/C][C]1.7262[/C][C]0.04311[/C][/ROW]
[ROW][C]16[/C][C]0.18784[/C][C]2.3908[/C][C]0.008979[/C][/ROW]
[ROW][C]17[/C][C]0.391414[/C][C]4.9819[/C][C]1e-06[/C][/ROW]
[ROW][C]18[/C][C]0.108036[/C][C]1.3751[/C][C]0.085504[/C][/ROW]
[ROW][C]19[/C][C]0.029004[/C][C]0.3692[/C][C]0.356243[/C][/ROW]
[ROW][C]20[/C][C]-0.046123[/C][C]-0.5871[/C][C]0.278992[/C][/ROW]
[ROW][C]21[/C][C]0.054213[/C][C]0.69[/C][C]0.245584[/C][/ROW]
[ROW][C]22[/C][C]-0.055368[/C][C]-0.7047[/C][C]0.240997[/C][/ROW]
[ROW][C]23[/C][C]-0.127656[/C][C]-1.6248[/C][C]0.053075[/C][/ROW]
[ROW][C]24[/C][C]-0.07877[/C][C]-1.0026[/C][C]0.15878[/C][/ROW]
[ROW][C]25[/C][C]0.113577[/C][C]1.4456[/C][C]0.075111[/C][/ROW]
[ROW][C]26[/C][C]0.086367[/C][C]1.0993[/C][C]0.136641[/C][/ROW]
[ROW][C]27[/C][C]-0.110809[/C][C]-1.4104[/C][C]0.080173[/C][/ROW]
[ROW][C]28[/C][C]-0.174811[/C][C]-2.225[/C][C]0.013732[/C][/ROW]
[ROW][C]29[/C][C]-0.141549[/C][C]-1.8016[/C][C]0.036732[/C][/ROW]
[ROW][C]30[/C][C]-0.079749[/C][C]-1.015[/C][C]0.155801[/C][/ROW]
[ROW][C]31[/C][C]-0.248395[/C][C]-3.1616[/C][C]0.000937[/C][/ROW]
[ROW][C]32[/C][C]-0.215673[/C][C]-2.7451[/C][C]0.003367[/C][/ROW]
[ROW][C]33[/C][C]-0.200294[/C][C]-2.5493[/C][C]0.005861[/C][/ROW]
[ROW][C]34[/C][C]-0.005566[/C][C]-0.0708[/C][C]0.471804[/C][/ROW]
[ROW][C]35[/C][C]-0.21462[/C][C]-2.7317[/C][C]0.0035[/C][/ROW]
[ROW][C]36[/C][C]-0.219668[/C][C]-2.7959[/C][C]0.002901[/C][/ROW]
[ROW][C]37[/C][C]-0.29237[/C][C]-3.7213[/C][C]0.000137[/C][/ROW]
[ROW][C]38[/C][C]-0.145599[/C][C]-1.8532[/C][C]0.032838[/C][/ROW]
[ROW][C]39[/C][C]-0.22592[/C][C]-2.8755[/C][C]0.002288[/C][/ROW]
[ROW][C]40[/C][C]-0.281497[/C][C]-3.5829[/C][C]0.000225[/C][/ROW]
[ROW][C]41[/C][C]-0.27395[/C][C]-3.4868[/C][C]0.000315[/C][/ROW]
[ROW][C]42[/C][C]-0.130416[/C][C]-1.6599[/C][C]0.049432[/C][/ROW]
[ROW][C]43[/C][C]-0.10401[/C][C]-1.3238[/C][C]0.093712[/C][/ROW]
[ROW][C]44[/C][C]-0.203378[/C][C]-2.5886[/C][C]0.005257[/C][/ROW]
[ROW][C]45[/C][C]-0.203309[/C][C]-2.5877[/C][C]0.00527[/C][/ROW]
[ROW][C]46[/C][C]-0.168522[/C][C]-2.1449[/C][C]0.016724[/C][/ROW]
[ROW][C]47[/C][C]-0.072614[/C][C]-0.9242[/C][C]0.178371[/C][/ROW]
[ROW][C]48[/C][C]-0.207885[/C][C]-2.6459[/C][C]0.004475[/C][/ROW]
[ROW][C]49[/C][C]-0.191323[/C][C]-2.4351[/C][C]0.007985[/C][/ROW]
[ROW][C]50[/C][C]-0.163339[/C][C]-2.079[/C][C]0.019598[/C][/ROW]
[ROW][C]51[/C][C]0.031938[/C][C]0.4065[/C][C]0.342453[/C][/ROW]
[ROW][C]52[/C][C]-0.127396[/C][C]-1.6215[/C][C]0.053429[/C][/ROW]
[ROW][C]53[/C][C]-0.126517[/C][C]-1.6103[/C][C]0.05464[/C][/ROW]
[ROW][C]54[/C][C]-0.180313[/C][C]-2.295[/C][C]0.011508[/C][/ROW]
[ROW][C]55[/C][C]-0.007782[/C][C]-0.0991[/C][C]0.460609[/C][/ROW]
[ROW][C]56[/C][C]-0.075004[/C][C]-0.9547[/C][C]0.170588[/C][/ROW]
[ROW][C]57[/C][C]-0.107702[/C][C]-1.3708[/C][C]0.086164[/C][/ROW]
[ROW][C]58[/C][C]-0.088346[/C][C]-1.1245[/C][C]0.131239[/C][/ROW]
[ROW][C]59[/C][C]0.067847[/C][C]0.8636[/C][C]0.194554[/C][/ROW]
[ROW][C]60[/C][C]0.055078[/C][C]0.701[/C][C]0.242145[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=242163&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=242163&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
10.5693247.24630
20.4334345.51670
30.2869983.65290.000175
40.4521955.75550
50.3250234.13692.8e-05
60.2356982.99990.001564
70.2758443.51090.000289
80.4756086.05350
90.4440385.65170
100.2236612.84670.002494
110.1463621.86290.032145
120.2013412.56270.005649
130.2633653.35210.000499
140.0611570.77840.218733
150.1356221.72620.04311
160.187842.39080.008979
170.3914144.98191e-06
180.1080361.37510.085504
190.0290040.36920.356243
20-0.046123-0.58710.278992
210.0542130.690.245584
22-0.055368-0.70470.240997
23-0.127656-1.62480.053075
24-0.07877-1.00260.15878
250.1135771.44560.075111
260.0863671.09930.136641
27-0.110809-1.41040.080173
28-0.174811-2.2250.013732
29-0.141549-1.80160.036732
30-0.079749-1.0150.155801
31-0.248395-3.16160.000937
32-0.215673-2.74510.003367
33-0.200294-2.54930.005861
34-0.005566-0.07080.471804
35-0.21462-2.73170.0035
36-0.219668-2.79590.002901
37-0.29237-3.72130.000137
38-0.145599-1.85320.032838
39-0.22592-2.87550.002288
40-0.281497-3.58290.000225
41-0.27395-3.48680.000315
42-0.130416-1.65990.049432
43-0.10401-1.32380.093712
44-0.203378-2.58860.005257
45-0.203309-2.58770.00527
46-0.168522-2.14490.016724
47-0.072614-0.92420.178371
48-0.207885-2.64590.004475
49-0.191323-2.43510.007985
50-0.163339-2.0790.019598
510.0319380.40650.342453
52-0.127396-1.62150.053429
53-0.126517-1.61030.05464
54-0.180313-2.2950.011508
55-0.007782-0.09910.460609
56-0.075004-0.95470.170588
57-0.107702-1.37080.086164
58-0.088346-1.12450.131239
590.0678470.86360.194554
600.0550780.7010.242145






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.5693247.24630
20.1617232.05840.020577
3-0.018128-0.23070.408908
40.3812564.85261e-06
5-0.09842-1.25270.106063
6-0.087556-1.11440.133377
70.2810173.57680.000229
80.2815023.58290.000225
9-0.03408-0.43380.332516
10-0.231035-2.94060.001878
110.0133040.16930.432874
12-0.000819-0.01040.495846
130.0252740.32170.374051
14-0.178404-2.27070.012241
150.2216182.82070.002695
16-0.011149-0.14190.443665
170.1213831.54490.062155
18-0.23635-3.00820.001524
19-0.06224-0.79220.214705
20-0.066132-0.84170.200593
21-0.137135-1.74540.041401
220.022140.28180.389228
23-0.049514-0.63020.264724
24-0.034082-0.43380.332506
250.1328441.69080.046396
260.0183040.2330.408037
27-0.151736-1.93130.027597
28-0.042352-0.53910.295293
29-0.010238-0.13030.448241
30-0.008449-0.10750.45725
31-0.051847-0.65990.255126
32-0.056307-0.71670.237305
33-0.119861-1.52560.064531
340.0903221.14960.125999
35-0.095395-1.21420.113224
360.117861.50010.067766
37-0.07244-0.9220.178948
380.0168540.21450.415206
390.0703290.89510.186021
40-0.088171-1.12220.131712
41-0.065227-0.83020.203823
42-0.027278-0.34720.364448
430.0949441.20840.114319
440.0341470.43460.332209
450.0622810.79270.214555
46-0.001405-0.01790.492876
470.0538180.6850.247164
48-0.011574-0.14730.441533
49-0.064895-0.8260.205016
500.0864591.10040.136386
51-0.014701-0.18710.425902
52-0.11669-1.48520.069714
530.0282660.35980.359745
54-0.034387-0.43770.331102
550.032350.41170.340536
56-0.046547-0.59240.277189
570.1074821.3680.086599
580.0952731.21260.113519
590.007450.09480.462284
60-0.134192-1.7080.044778

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.569324 & 7.2463 & 0 \tabularnewline
2 & 0.161723 & 2.0584 & 0.020577 \tabularnewline
3 & -0.018128 & -0.2307 & 0.408908 \tabularnewline
4 & 0.381256 & 4.8526 & 1e-06 \tabularnewline
5 & -0.09842 & -1.2527 & 0.106063 \tabularnewline
6 & -0.087556 & -1.1144 & 0.133377 \tabularnewline
7 & 0.281017 & 3.5768 & 0.000229 \tabularnewline
8 & 0.281502 & 3.5829 & 0.000225 \tabularnewline
9 & -0.03408 & -0.4338 & 0.332516 \tabularnewline
10 & -0.231035 & -2.9406 & 0.001878 \tabularnewline
11 & 0.013304 & 0.1693 & 0.432874 \tabularnewline
12 & -0.000819 & -0.0104 & 0.495846 \tabularnewline
13 & 0.025274 & 0.3217 & 0.374051 \tabularnewline
14 & -0.178404 & -2.2707 & 0.012241 \tabularnewline
15 & 0.221618 & 2.8207 & 0.002695 \tabularnewline
16 & -0.011149 & -0.1419 & 0.443665 \tabularnewline
17 & 0.121383 & 1.5449 & 0.062155 \tabularnewline
18 & -0.23635 & -3.0082 & 0.001524 \tabularnewline
19 & -0.06224 & -0.7922 & 0.214705 \tabularnewline
20 & -0.066132 & -0.8417 & 0.200593 \tabularnewline
21 & -0.137135 & -1.7454 & 0.041401 \tabularnewline
22 & 0.02214 & 0.2818 & 0.389228 \tabularnewline
23 & -0.049514 & -0.6302 & 0.264724 \tabularnewline
24 & -0.034082 & -0.4338 & 0.332506 \tabularnewline
25 & 0.132844 & 1.6908 & 0.046396 \tabularnewline
26 & 0.018304 & 0.233 & 0.408037 \tabularnewline
27 & -0.151736 & -1.9313 & 0.027597 \tabularnewline
28 & -0.042352 & -0.5391 & 0.295293 \tabularnewline
29 & -0.010238 & -0.1303 & 0.448241 \tabularnewline
30 & -0.008449 & -0.1075 & 0.45725 \tabularnewline
31 & -0.051847 & -0.6599 & 0.255126 \tabularnewline
32 & -0.056307 & -0.7167 & 0.237305 \tabularnewline
33 & -0.119861 & -1.5256 & 0.064531 \tabularnewline
34 & 0.090322 & 1.1496 & 0.125999 \tabularnewline
35 & -0.095395 & -1.2142 & 0.113224 \tabularnewline
36 & 0.11786 & 1.5001 & 0.067766 \tabularnewline
37 & -0.07244 & -0.922 & 0.178948 \tabularnewline
38 & 0.016854 & 0.2145 & 0.415206 \tabularnewline
39 & 0.070329 & 0.8951 & 0.186021 \tabularnewline
40 & -0.088171 & -1.1222 & 0.131712 \tabularnewline
41 & -0.065227 & -0.8302 & 0.203823 \tabularnewline
42 & -0.027278 & -0.3472 & 0.364448 \tabularnewline
43 & 0.094944 & 1.2084 & 0.114319 \tabularnewline
44 & 0.034147 & 0.4346 & 0.332209 \tabularnewline
45 & 0.062281 & 0.7927 & 0.214555 \tabularnewline
46 & -0.001405 & -0.0179 & 0.492876 \tabularnewline
47 & 0.053818 & 0.685 & 0.247164 \tabularnewline
48 & -0.011574 & -0.1473 & 0.441533 \tabularnewline
49 & -0.064895 & -0.826 & 0.205016 \tabularnewline
50 & 0.086459 & 1.1004 & 0.136386 \tabularnewline
51 & -0.014701 & -0.1871 & 0.425902 \tabularnewline
52 & -0.11669 & -1.4852 & 0.069714 \tabularnewline
53 & 0.028266 & 0.3598 & 0.359745 \tabularnewline
54 & -0.034387 & -0.4377 & 0.331102 \tabularnewline
55 & 0.03235 & 0.4117 & 0.340536 \tabularnewline
56 & -0.046547 & -0.5924 & 0.277189 \tabularnewline
57 & 0.107482 & 1.368 & 0.086599 \tabularnewline
58 & 0.095273 & 1.2126 & 0.113519 \tabularnewline
59 & 0.00745 & 0.0948 & 0.462284 \tabularnewline
60 & -0.134192 & -1.708 & 0.044778 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=242163&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]0.569324[/C][C]7.2463[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.161723[/C][C]2.0584[/C][C]0.020577[/C][/ROW]
[ROW][C]3[/C][C]-0.018128[/C][C]-0.2307[/C][C]0.408908[/C][/ROW]
[ROW][C]4[/C][C]0.381256[/C][C]4.8526[/C][C]1e-06[/C][/ROW]
[ROW][C]5[/C][C]-0.09842[/C][C]-1.2527[/C][C]0.106063[/C][/ROW]
[ROW][C]6[/C][C]-0.087556[/C][C]-1.1144[/C][C]0.133377[/C][/ROW]
[ROW][C]7[/C][C]0.281017[/C][C]3.5768[/C][C]0.000229[/C][/ROW]
[ROW][C]8[/C][C]0.281502[/C][C]3.5829[/C][C]0.000225[/C][/ROW]
[ROW][C]9[/C][C]-0.03408[/C][C]-0.4338[/C][C]0.332516[/C][/ROW]
[ROW][C]10[/C][C]-0.231035[/C][C]-2.9406[/C][C]0.001878[/C][/ROW]
[ROW][C]11[/C][C]0.013304[/C][C]0.1693[/C][C]0.432874[/C][/ROW]
[ROW][C]12[/C][C]-0.000819[/C][C]-0.0104[/C][C]0.495846[/C][/ROW]
[ROW][C]13[/C][C]0.025274[/C][C]0.3217[/C][C]0.374051[/C][/ROW]
[ROW][C]14[/C][C]-0.178404[/C][C]-2.2707[/C][C]0.012241[/C][/ROW]
[ROW][C]15[/C][C]0.221618[/C][C]2.8207[/C][C]0.002695[/C][/ROW]
[ROW][C]16[/C][C]-0.011149[/C][C]-0.1419[/C][C]0.443665[/C][/ROW]
[ROW][C]17[/C][C]0.121383[/C][C]1.5449[/C][C]0.062155[/C][/ROW]
[ROW][C]18[/C][C]-0.23635[/C][C]-3.0082[/C][C]0.001524[/C][/ROW]
[ROW][C]19[/C][C]-0.06224[/C][C]-0.7922[/C][C]0.214705[/C][/ROW]
[ROW][C]20[/C][C]-0.066132[/C][C]-0.8417[/C][C]0.200593[/C][/ROW]
[ROW][C]21[/C][C]-0.137135[/C][C]-1.7454[/C][C]0.041401[/C][/ROW]
[ROW][C]22[/C][C]0.02214[/C][C]0.2818[/C][C]0.389228[/C][/ROW]
[ROW][C]23[/C][C]-0.049514[/C][C]-0.6302[/C][C]0.264724[/C][/ROW]
[ROW][C]24[/C][C]-0.034082[/C][C]-0.4338[/C][C]0.332506[/C][/ROW]
[ROW][C]25[/C][C]0.132844[/C][C]1.6908[/C][C]0.046396[/C][/ROW]
[ROW][C]26[/C][C]0.018304[/C][C]0.233[/C][C]0.408037[/C][/ROW]
[ROW][C]27[/C][C]-0.151736[/C][C]-1.9313[/C][C]0.027597[/C][/ROW]
[ROW][C]28[/C][C]-0.042352[/C][C]-0.5391[/C][C]0.295293[/C][/ROW]
[ROW][C]29[/C][C]-0.010238[/C][C]-0.1303[/C][C]0.448241[/C][/ROW]
[ROW][C]30[/C][C]-0.008449[/C][C]-0.1075[/C][C]0.45725[/C][/ROW]
[ROW][C]31[/C][C]-0.051847[/C][C]-0.6599[/C][C]0.255126[/C][/ROW]
[ROW][C]32[/C][C]-0.056307[/C][C]-0.7167[/C][C]0.237305[/C][/ROW]
[ROW][C]33[/C][C]-0.119861[/C][C]-1.5256[/C][C]0.064531[/C][/ROW]
[ROW][C]34[/C][C]0.090322[/C][C]1.1496[/C][C]0.125999[/C][/ROW]
[ROW][C]35[/C][C]-0.095395[/C][C]-1.2142[/C][C]0.113224[/C][/ROW]
[ROW][C]36[/C][C]0.11786[/C][C]1.5001[/C][C]0.067766[/C][/ROW]
[ROW][C]37[/C][C]-0.07244[/C][C]-0.922[/C][C]0.178948[/C][/ROW]
[ROW][C]38[/C][C]0.016854[/C][C]0.2145[/C][C]0.415206[/C][/ROW]
[ROW][C]39[/C][C]0.070329[/C][C]0.8951[/C][C]0.186021[/C][/ROW]
[ROW][C]40[/C][C]-0.088171[/C][C]-1.1222[/C][C]0.131712[/C][/ROW]
[ROW][C]41[/C][C]-0.065227[/C][C]-0.8302[/C][C]0.203823[/C][/ROW]
[ROW][C]42[/C][C]-0.027278[/C][C]-0.3472[/C][C]0.364448[/C][/ROW]
[ROW][C]43[/C][C]0.094944[/C][C]1.2084[/C][C]0.114319[/C][/ROW]
[ROW][C]44[/C][C]0.034147[/C][C]0.4346[/C][C]0.332209[/C][/ROW]
[ROW][C]45[/C][C]0.062281[/C][C]0.7927[/C][C]0.214555[/C][/ROW]
[ROW][C]46[/C][C]-0.001405[/C][C]-0.0179[/C][C]0.492876[/C][/ROW]
[ROW][C]47[/C][C]0.053818[/C][C]0.685[/C][C]0.247164[/C][/ROW]
[ROW][C]48[/C][C]-0.011574[/C][C]-0.1473[/C][C]0.441533[/C][/ROW]
[ROW][C]49[/C][C]-0.064895[/C][C]-0.826[/C][C]0.205016[/C][/ROW]
[ROW][C]50[/C][C]0.086459[/C][C]1.1004[/C][C]0.136386[/C][/ROW]
[ROW][C]51[/C][C]-0.014701[/C][C]-0.1871[/C][C]0.425902[/C][/ROW]
[ROW][C]52[/C][C]-0.11669[/C][C]-1.4852[/C][C]0.069714[/C][/ROW]
[ROW][C]53[/C][C]0.028266[/C][C]0.3598[/C][C]0.359745[/C][/ROW]
[ROW][C]54[/C][C]-0.034387[/C][C]-0.4377[/C][C]0.331102[/C][/ROW]
[ROW][C]55[/C][C]0.03235[/C][C]0.4117[/C][C]0.340536[/C][/ROW]
[ROW][C]56[/C][C]-0.046547[/C][C]-0.5924[/C][C]0.277189[/C][/ROW]
[ROW][C]57[/C][C]0.107482[/C][C]1.368[/C][C]0.086599[/C][/ROW]
[ROW][C]58[/C][C]0.095273[/C][C]1.2126[/C][C]0.113519[/C][/ROW]
[ROW][C]59[/C][C]0.00745[/C][C]0.0948[/C][C]0.462284[/C][/ROW]
[ROW][C]60[/C][C]-0.134192[/C][C]-1.708[/C][C]0.044778[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=242163&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=242163&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
10.5693247.24630
20.1617232.05840.020577
3-0.018128-0.23070.408908
40.3812564.85261e-06
5-0.09842-1.25270.106063
6-0.087556-1.11440.133377
70.2810173.57680.000229
80.2815023.58290.000225
9-0.03408-0.43380.332516
10-0.231035-2.94060.001878
110.0133040.16930.432874
12-0.000819-0.01040.495846
130.0252740.32170.374051
14-0.178404-2.27070.012241
150.2216182.82070.002695
16-0.011149-0.14190.443665
170.1213831.54490.062155
18-0.23635-3.00820.001524
19-0.06224-0.79220.214705
20-0.066132-0.84170.200593
21-0.137135-1.74540.041401
220.022140.28180.389228
23-0.049514-0.63020.264724
24-0.034082-0.43380.332506
250.1328441.69080.046396
260.0183040.2330.408037
27-0.151736-1.93130.027597
28-0.042352-0.53910.295293
29-0.010238-0.13030.448241
30-0.008449-0.10750.45725
31-0.051847-0.65990.255126
32-0.056307-0.71670.237305
33-0.119861-1.52560.064531
340.0903221.14960.125999
35-0.095395-1.21420.113224
360.117861.50010.067766
37-0.07244-0.9220.178948
380.0168540.21450.415206
390.0703290.89510.186021
40-0.088171-1.12220.131712
41-0.065227-0.83020.203823
42-0.027278-0.34720.364448
430.0949441.20840.114319
440.0341470.43460.332209
450.0622810.79270.214555
46-0.001405-0.01790.492876
470.0538180.6850.247164
48-0.011574-0.14730.441533
49-0.064895-0.8260.205016
500.0864591.10040.136386
51-0.014701-0.18710.425902
52-0.11669-1.48520.069714
530.0282660.35980.359745
54-0.034387-0.43770.331102
550.032350.41170.340536
56-0.046547-0.59240.277189
570.1074821.3680.086599
580.0952731.21260.113519
590.007450.09480.462284
60-0.134192-1.7080.044778


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; 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)
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')