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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 computationMon, 26 Mar 2012 06:42:31 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Mar/26/t13327585656fwjiufh4f26am9.htm/, Retrieved Wed, 01 May 2024 23:56:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=164150, Retrieved Wed, 01 May 2024 23:56:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact66

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] [opgave6bis2.2] [2012-03-26 10:42:31] [93d8c933de66a9379169e5b29ab2e0c1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
65
65.3
62.9
63.5
62.1
59.3
61.6
61.5
60.1
59.5
62.7
65.5
63.8
63.8
62.7
62.3
62.4
64.8
66.4
65.1
67.4
68.8
68.6
71.5
75
84.3
84
79.1
78.8
82.7
85.3
84.5
80.8
70.1
68.2
68.1
72.3
73.1
71.5
74.1
80.3
80.6
81.4
87.4
89.3
93.2
92.8
96.8
100.3
95.6
89
87.4
86.7
92.8
98.6
100.8
105.5
107.8
113.7
120.3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164150&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164150&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164150&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.3725552.86160.002911
2-0.034791-0.26720.395109
3-0.084266-0.64730.259988
4-0.018394-0.14130.444061
50.1213640.93220.177512
6-0.003835-0.02950.488299
7-0.145811-1.120.133628
8-0.207627-1.59480.058049
9-0.265232-2.03730.023057
10-0.193252-1.48440.071514
110.1011260.77680.220201
12-0.026605-0.20440.419389
13-0.03039-0.23340.408118
140.1103390.84750.200062
150.0823070.63220.264846
160.058840.4520.326477
170.1508971.15910.12555
180.2295551.76320.041519
190.2246571.72560.044825
20-0.097356-0.74780.228774
21-0.252373-1.93850.028675
220.0005660.00440.498272
230.0292750.22490.411431
24-0.059551-0.45740.324526
25-0.139448-1.07110.144239
26-0.205027-1.57480.06032
27-0.137011-1.05240.148453
280.0552230.42420.33649
290.1153910.88630.189518
300.1160150.89110.18824
310.0201610.15490.438731
32-0.049773-0.38230.3518
330.0837480.64330.261266
340.0806210.61930.269063
35-0.006633-0.05090.479771
360.0377630.29010.386393
370.0448030.34410.365982
38-0.02834-0.21770.414213
39-0.080179-0.61590.270175
40-0.087366-0.67110.252397
41-0.025066-0.19250.423992
420.0023540.01810.492817
43-0.026492-0.20350.419727
44-0.015283-0.11740.453474
45-0.000151-0.00120.499538
46-0.013967-0.10730.457463
470.0321520.2470.402898
480.0435070.33420.369713

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.372555 & 2.8616 & 0.002911 \tabularnewline
2 & -0.034791 & -0.2672 & 0.395109 \tabularnewline
3 & -0.084266 & -0.6473 & 0.259988 \tabularnewline
4 & -0.018394 & -0.1413 & 0.444061 \tabularnewline
5 & 0.121364 & 0.9322 & 0.177512 \tabularnewline
6 & -0.003835 & -0.0295 & 0.488299 \tabularnewline
7 & -0.145811 & -1.12 & 0.133628 \tabularnewline
8 & -0.207627 & -1.5948 & 0.058049 \tabularnewline
9 & -0.265232 & -2.0373 & 0.023057 \tabularnewline
10 & -0.193252 & -1.4844 & 0.071514 \tabularnewline
11 & 0.101126 & 0.7768 & 0.220201 \tabularnewline
12 & -0.026605 & -0.2044 & 0.419389 \tabularnewline
13 & -0.03039 & -0.2334 & 0.408118 \tabularnewline
14 & 0.110339 & 0.8475 & 0.200062 \tabularnewline
15 & 0.082307 & 0.6322 & 0.264846 \tabularnewline
16 & 0.05884 & 0.452 & 0.326477 \tabularnewline
17 & 0.150897 & 1.1591 & 0.12555 \tabularnewline
18 & 0.229555 & 1.7632 & 0.041519 \tabularnewline
19 & 0.224657 & 1.7256 & 0.044825 \tabularnewline
20 & -0.097356 & -0.7478 & 0.228774 \tabularnewline
21 & -0.252373 & -1.9385 & 0.028675 \tabularnewline
22 & 0.000566 & 0.0044 & 0.498272 \tabularnewline
23 & 0.029275 & 0.2249 & 0.411431 \tabularnewline
24 & -0.059551 & -0.4574 & 0.324526 \tabularnewline
25 & -0.139448 & -1.0711 & 0.144239 \tabularnewline
26 & -0.205027 & -1.5748 & 0.06032 \tabularnewline
27 & -0.137011 & -1.0524 & 0.148453 \tabularnewline
28 & 0.055223 & 0.4242 & 0.33649 \tabularnewline
29 & 0.115391 & 0.8863 & 0.189518 \tabularnewline
30 & 0.116015 & 0.8911 & 0.18824 \tabularnewline
31 & 0.020161 & 0.1549 & 0.438731 \tabularnewline
32 & -0.049773 & -0.3823 & 0.3518 \tabularnewline
33 & 0.083748 & 0.6433 & 0.261266 \tabularnewline
34 & 0.080621 & 0.6193 & 0.269063 \tabularnewline
35 & -0.006633 & -0.0509 & 0.479771 \tabularnewline
36 & 0.037763 & 0.2901 & 0.386393 \tabularnewline
37 & 0.044803 & 0.3441 & 0.365982 \tabularnewline
38 & -0.02834 & -0.2177 & 0.414213 \tabularnewline
39 & -0.080179 & -0.6159 & 0.270175 \tabularnewline
40 & -0.087366 & -0.6711 & 0.252397 \tabularnewline
41 & -0.025066 & -0.1925 & 0.423992 \tabularnewline
42 & 0.002354 & 0.0181 & 0.492817 \tabularnewline
43 & -0.026492 & -0.2035 & 0.419727 \tabularnewline
44 & -0.015283 & -0.1174 & 0.453474 \tabularnewline
45 & -0.000151 & -0.0012 & 0.499538 \tabularnewline
46 & -0.013967 & -0.1073 & 0.457463 \tabularnewline
47 & 0.032152 & 0.247 & 0.402898 \tabularnewline
48 & 0.043507 & 0.3342 & 0.369713 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164150&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]0.372555[/C][C]2.8616[/C][C]0.002911[/C][/ROW]
[ROW][C]2[/C][C]-0.034791[/C][C]-0.2672[/C][C]0.395109[/C][/ROW]
[ROW][C]3[/C][C]-0.084266[/C][C]-0.6473[/C][C]0.259988[/C][/ROW]
[ROW][C]4[/C][C]-0.018394[/C][C]-0.1413[/C][C]0.444061[/C][/ROW]
[ROW][C]5[/C][C]0.121364[/C][C]0.9322[/C][C]0.177512[/C][/ROW]
[ROW][C]6[/C][C]-0.003835[/C][C]-0.0295[/C][C]0.488299[/C][/ROW]
[ROW][C]7[/C][C]-0.145811[/C][C]-1.12[/C][C]0.133628[/C][/ROW]
[ROW][C]8[/C][C]-0.207627[/C][C]-1.5948[/C][C]0.058049[/C][/ROW]
[ROW][C]9[/C][C]-0.265232[/C][C]-2.0373[/C][C]0.023057[/C][/ROW]
[ROW][C]10[/C][C]-0.193252[/C][C]-1.4844[/C][C]0.071514[/C][/ROW]
[ROW][C]11[/C][C]0.101126[/C][C]0.7768[/C][C]0.220201[/C][/ROW]
[ROW][C]12[/C][C]-0.026605[/C][C]-0.2044[/C][C]0.419389[/C][/ROW]
[ROW][C]13[/C][C]-0.03039[/C][C]-0.2334[/C][C]0.408118[/C][/ROW]
[ROW][C]14[/C][C]0.110339[/C][C]0.8475[/C][C]0.200062[/C][/ROW]
[ROW][C]15[/C][C]0.082307[/C][C]0.6322[/C][C]0.264846[/C][/ROW]
[ROW][C]16[/C][C]0.05884[/C][C]0.452[/C][C]0.326477[/C][/ROW]
[ROW][C]17[/C][C]0.150897[/C][C]1.1591[/C][C]0.12555[/C][/ROW]
[ROW][C]18[/C][C]0.229555[/C][C]1.7632[/C][C]0.041519[/C][/ROW]
[ROW][C]19[/C][C]0.224657[/C][C]1.7256[/C][C]0.044825[/C][/ROW]
[ROW][C]20[/C][C]-0.097356[/C][C]-0.7478[/C][C]0.228774[/C][/ROW]
[ROW][C]21[/C][C]-0.252373[/C][C]-1.9385[/C][C]0.028675[/C][/ROW]
[ROW][C]22[/C][C]0.000566[/C][C]0.0044[/C][C]0.498272[/C][/ROW]
[ROW][C]23[/C][C]0.029275[/C][C]0.2249[/C][C]0.411431[/C][/ROW]
[ROW][C]24[/C][C]-0.059551[/C][C]-0.4574[/C][C]0.324526[/C][/ROW]
[ROW][C]25[/C][C]-0.139448[/C][C]-1.0711[/C][C]0.144239[/C][/ROW]
[ROW][C]26[/C][C]-0.205027[/C][C]-1.5748[/C][C]0.06032[/C][/ROW]
[ROW][C]27[/C][C]-0.137011[/C][C]-1.0524[/C][C]0.148453[/C][/ROW]
[ROW][C]28[/C][C]0.055223[/C][C]0.4242[/C][C]0.33649[/C][/ROW]
[ROW][C]29[/C][C]0.115391[/C][C]0.8863[/C][C]0.189518[/C][/ROW]
[ROW][C]30[/C][C]0.116015[/C][C]0.8911[/C][C]0.18824[/C][/ROW]
[ROW][C]31[/C][C]0.020161[/C][C]0.1549[/C][C]0.438731[/C][/ROW]
[ROW][C]32[/C][C]-0.049773[/C][C]-0.3823[/C][C]0.3518[/C][/ROW]
[ROW][C]33[/C][C]0.083748[/C][C]0.6433[/C][C]0.261266[/C][/ROW]
[ROW][C]34[/C][C]0.080621[/C][C]0.6193[/C][C]0.269063[/C][/ROW]
[ROW][C]35[/C][C]-0.006633[/C][C]-0.0509[/C][C]0.479771[/C][/ROW]
[ROW][C]36[/C][C]0.037763[/C][C]0.2901[/C][C]0.386393[/C][/ROW]
[ROW][C]37[/C][C]0.044803[/C][C]0.3441[/C][C]0.365982[/C][/ROW]
[ROW][C]38[/C][C]-0.02834[/C][C]-0.2177[/C][C]0.414213[/C][/ROW]
[ROW][C]39[/C][C]-0.080179[/C][C]-0.6159[/C][C]0.270175[/C][/ROW]
[ROW][C]40[/C][C]-0.087366[/C][C]-0.6711[/C][C]0.252397[/C][/ROW]
[ROW][C]41[/C][C]-0.025066[/C][C]-0.1925[/C][C]0.423992[/C][/ROW]
[ROW][C]42[/C][C]0.002354[/C][C]0.0181[/C][C]0.492817[/C][/ROW]
[ROW][C]43[/C][C]-0.026492[/C][C]-0.2035[/C][C]0.419727[/C][/ROW]
[ROW][C]44[/C][C]-0.015283[/C][C]-0.1174[/C][C]0.453474[/C][/ROW]
[ROW][C]45[/C][C]-0.000151[/C][C]-0.0012[/C][C]0.499538[/C][/ROW]
[ROW][C]46[/C][C]-0.013967[/C][C]-0.1073[/C][C]0.457463[/C][/ROW]
[ROW][C]47[/C][C]0.032152[/C][C]0.247[/C][C]0.402898[/C][/ROW]
[ROW][C]48[/C][C]0.043507[/C][C]0.3342[/C][C]0.369713[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164150&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164150&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
10.3725552.86160.002911
2-0.034791-0.26720.395109
3-0.084266-0.64730.259988
4-0.018394-0.14130.444061
50.1213640.93220.177512
6-0.003835-0.02950.488299
7-0.145811-1.120.133628
8-0.207627-1.59480.058049
9-0.265232-2.03730.023057
10-0.193252-1.48440.071514
110.1011260.77680.220201
12-0.026605-0.20440.419389
13-0.03039-0.23340.408118
140.1103390.84750.200062
150.0823070.63220.264846
160.058840.4520.326477
170.1508971.15910.12555
180.2295551.76320.041519
190.2246571.72560.044825
20-0.097356-0.74780.228774
21-0.252373-1.93850.028675
220.0005660.00440.498272
230.0292750.22490.411431
24-0.059551-0.45740.324526
25-0.139448-1.07110.144239
26-0.205027-1.57480.06032
27-0.137011-1.05240.148453
280.0552230.42420.33649
290.1153910.88630.189518
300.1160150.89110.18824
310.0201610.15490.438731
32-0.049773-0.38230.3518
330.0837480.64330.261266
340.0806210.61930.269063
35-0.006633-0.05090.479771
360.0377630.29010.386393
370.0448030.34410.365982
38-0.02834-0.21770.414213
39-0.080179-0.61590.270175
40-0.087366-0.67110.252397
41-0.025066-0.19250.423992
420.0023540.01810.492817
43-0.026492-0.20350.419727
44-0.015283-0.11740.453474
45-0.000151-0.00120.499538
46-0.013967-0.10730.457463
470.0321520.2470.402898
480.0435070.33420.369713






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.3725552.86160.002911
2-0.201565-1.54830.063455
30.0077490.05950.476368
40.0114240.08780.465186
50.1312031.00780.158836
6-0.135455-1.04040.151189
7-0.084291-0.64750.259925
8-0.131467-1.00980.158353
9-0.195546-1.5020.069213
10-0.105123-0.80750.211321
110.2136261.64090.05307
12-0.235464-1.80860.037802
130.1339681.0290.153833
140.1485011.14070.129311
15-0.047202-0.36260.359113
16-0.097639-0.750.228124
170.265172.03680.023082
180.0591720.45450.325566
190.0351250.26980.394127
20-0.222744-1.71090.046174
210.0129120.09920.460666
220.0361370.27760.391156
230.0162090.12450.450671
24-0.109174-0.83860.202544
25-0.003863-0.02970.488213
26-0.040607-0.31190.378106
270.0480440.3690.356713
280.0481730.370.356344
290.0104250.08010.468224
30-0.028775-0.2210.412918
310.1015150.77970.219328
32-0.108132-0.83060.20478
33-0.072317-0.55550.290334
340.0038560.02960.488236
35-0.003065-0.02350.490647
36-0.037491-0.2880.387187
370.0834690.64110.261958
380.0301360.23150.408873
392.2e-052e-040.499934
400.0108070.0830.467063
41-0.060783-0.46690.321152
42-0.019488-0.14970.440759
430.1020010.78350.218239
44-0.014918-0.11460.454581
45-0.045794-0.35170.36314
46-0.015494-0.1190.452834
47-0.039272-0.30170.381989
48-0.022829-0.17530.430703

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.372555 & 2.8616 & 0.002911 \tabularnewline
2 & -0.201565 & -1.5483 & 0.063455 \tabularnewline
3 & 0.007749 & 0.0595 & 0.476368 \tabularnewline
4 & 0.011424 & 0.0878 & 0.465186 \tabularnewline
5 & 0.131203 & 1.0078 & 0.158836 \tabularnewline
6 & -0.135455 & -1.0404 & 0.151189 \tabularnewline
7 & -0.084291 & -0.6475 & 0.259925 \tabularnewline
8 & -0.131467 & -1.0098 & 0.158353 \tabularnewline
9 & -0.195546 & -1.502 & 0.069213 \tabularnewline
10 & -0.105123 & -0.8075 & 0.211321 \tabularnewline
11 & 0.213626 & 1.6409 & 0.05307 \tabularnewline
12 & -0.235464 & -1.8086 & 0.037802 \tabularnewline
13 & 0.133968 & 1.029 & 0.153833 \tabularnewline
14 & 0.148501 & 1.1407 & 0.129311 \tabularnewline
15 & -0.047202 & -0.3626 & 0.359113 \tabularnewline
16 & -0.097639 & -0.75 & 0.228124 \tabularnewline
17 & 0.26517 & 2.0368 & 0.023082 \tabularnewline
18 & 0.059172 & 0.4545 & 0.325566 \tabularnewline
19 & 0.035125 & 0.2698 & 0.394127 \tabularnewline
20 & -0.222744 & -1.7109 & 0.046174 \tabularnewline
21 & 0.012912 & 0.0992 & 0.460666 \tabularnewline
22 & 0.036137 & 0.2776 & 0.391156 \tabularnewline
23 & 0.016209 & 0.1245 & 0.450671 \tabularnewline
24 & -0.109174 & -0.8386 & 0.202544 \tabularnewline
25 & -0.003863 & -0.0297 & 0.488213 \tabularnewline
26 & -0.040607 & -0.3119 & 0.378106 \tabularnewline
27 & 0.048044 & 0.369 & 0.356713 \tabularnewline
28 & 0.048173 & 0.37 & 0.356344 \tabularnewline
29 & 0.010425 & 0.0801 & 0.468224 \tabularnewline
30 & -0.028775 & -0.221 & 0.412918 \tabularnewline
31 & 0.101515 & 0.7797 & 0.219328 \tabularnewline
32 & -0.108132 & -0.8306 & 0.20478 \tabularnewline
33 & -0.072317 & -0.5555 & 0.290334 \tabularnewline
34 & 0.003856 & 0.0296 & 0.488236 \tabularnewline
35 & -0.003065 & -0.0235 & 0.490647 \tabularnewline
36 & -0.037491 & -0.288 & 0.387187 \tabularnewline
37 & 0.083469 & 0.6411 & 0.261958 \tabularnewline
38 & 0.030136 & 0.2315 & 0.408873 \tabularnewline
39 & 2.2e-05 & 2e-04 & 0.499934 \tabularnewline
40 & 0.010807 & 0.083 & 0.467063 \tabularnewline
41 & -0.060783 & -0.4669 & 0.321152 \tabularnewline
42 & -0.019488 & -0.1497 & 0.440759 \tabularnewline
43 & 0.102001 & 0.7835 & 0.218239 \tabularnewline
44 & -0.014918 & -0.1146 & 0.454581 \tabularnewline
45 & -0.045794 & -0.3517 & 0.36314 \tabularnewline
46 & -0.015494 & -0.119 & 0.452834 \tabularnewline
47 & -0.039272 & -0.3017 & 0.381989 \tabularnewline
48 & -0.022829 & -0.1753 & 0.430703 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=164150&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]0.372555[/C][C]2.8616[/C][C]0.002911[/C][/ROW]
[ROW][C]2[/C][C]-0.201565[/C][C]-1.5483[/C][C]0.063455[/C][/ROW]
[ROW][C]3[/C][C]0.007749[/C][C]0.0595[/C][C]0.476368[/C][/ROW]
[ROW][C]4[/C][C]0.011424[/C][C]0.0878[/C][C]0.465186[/C][/ROW]
[ROW][C]5[/C][C]0.131203[/C][C]1.0078[/C][C]0.158836[/C][/ROW]
[ROW][C]6[/C][C]-0.135455[/C][C]-1.0404[/C][C]0.151189[/C][/ROW]
[ROW][C]7[/C][C]-0.084291[/C][C]-0.6475[/C][C]0.259925[/C][/ROW]
[ROW][C]8[/C][C]-0.131467[/C][C]-1.0098[/C][C]0.158353[/C][/ROW]
[ROW][C]9[/C][C]-0.195546[/C][C]-1.502[/C][C]0.069213[/C][/ROW]
[ROW][C]10[/C][C]-0.105123[/C][C]-0.8075[/C][C]0.211321[/C][/ROW]
[ROW][C]11[/C][C]0.213626[/C][C]1.6409[/C][C]0.05307[/C][/ROW]
[ROW][C]12[/C][C]-0.235464[/C][C]-1.8086[/C][C]0.037802[/C][/ROW]
[ROW][C]13[/C][C]0.133968[/C][C]1.029[/C][C]0.153833[/C][/ROW]
[ROW][C]14[/C][C]0.148501[/C][C]1.1407[/C][C]0.129311[/C][/ROW]
[ROW][C]15[/C][C]-0.047202[/C][C]-0.3626[/C][C]0.359113[/C][/ROW]
[ROW][C]16[/C][C]-0.097639[/C][C]-0.75[/C][C]0.228124[/C][/ROW]
[ROW][C]17[/C][C]0.26517[/C][C]2.0368[/C][C]0.023082[/C][/ROW]
[ROW][C]18[/C][C]0.059172[/C][C]0.4545[/C][C]0.325566[/C][/ROW]
[ROW][C]19[/C][C]0.035125[/C][C]0.2698[/C][C]0.394127[/C][/ROW]
[ROW][C]20[/C][C]-0.222744[/C][C]-1.7109[/C][C]0.046174[/C][/ROW]
[ROW][C]21[/C][C]0.012912[/C][C]0.0992[/C][C]0.460666[/C][/ROW]
[ROW][C]22[/C][C]0.036137[/C][C]0.2776[/C][C]0.391156[/C][/ROW]
[ROW][C]23[/C][C]0.016209[/C][C]0.1245[/C][C]0.450671[/C][/ROW]
[ROW][C]24[/C][C]-0.109174[/C][C]-0.8386[/C][C]0.202544[/C][/ROW]
[ROW][C]25[/C][C]-0.003863[/C][C]-0.0297[/C][C]0.488213[/C][/ROW]
[ROW][C]26[/C][C]-0.040607[/C][C]-0.3119[/C][C]0.378106[/C][/ROW]
[ROW][C]27[/C][C]0.048044[/C][C]0.369[/C][C]0.356713[/C][/ROW]
[ROW][C]28[/C][C]0.048173[/C][C]0.37[/C][C]0.356344[/C][/ROW]
[ROW][C]29[/C][C]0.010425[/C][C]0.0801[/C][C]0.468224[/C][/ROW]
[ROW][C]30[/C][C]-0.028775[/C][C]-0.221[/C][C]0.412918[/C][/ROW]
[ROW][C]31[/C][C]0.101515[/C][C]0.7797[/C][C]0.219328[/C][/ROW]
[ROW][C]32[/C][C]-0.108132[/C][C]-0.8306[/C][C]0.20478[/C][/ROW]
[ROW][C]33[/C][C]-0.072317[/C][C]-0.5555[/C][C]0.290334[/C][/ROW]
[ROW][C]34[/C][C]0.003856[/C][C]0.0296[/C][C]0.488236[/C][/ROW]
[ROW][C]35[/C][C]-0.003065[/C][C]-0.0235[/C][C]0.490647[/C][/ROW]
[ROW][C]36[/C][C]-0.037491[/C][C]-0.288[/C][C]0.387187[/C][/ROW]
[ROW][C]37[/C][C]0.083469[/C][C]0.6411[/C][C]0.261958[/C][/ROW]
[ROW][C]38[/C][C]0.030136[/C][C]0.2315[/C][C]0.408873[/C][/ROW]
[ROW][C]39[/C][C]2.2e-05[/C][C]2e-04[/C][C]0.499934[/C][/ROW]
[ROW][C]40[/C][C]0.010807[/C][C]0.083[/C][C]0.467063[/C][/ROW]
[ROW][C]41[/C][C]-0.060783[/C][C]-0.4669[/C][C]0.321152[/C][/ROW]
[ROW][C]42[/C][C]-0.019488[/C][C]-0.1497[/C][C]0.440759[/C][/ROW]
[ROW][C]43[/C][C]0.102001[/C][C]0.7835[/C][C]0.218239[/C][/ROW]
[ROW][C]44[/C][C]-0.014918[/C][C]-0.1146[/C][C]0.454581[/C][/ROW]
[ROW][C]45[/C][C]-0.045794[/C][C]-0.3517[/C][C]0.36314[/C][/ROW]
[ROW][C]46[/C][C]-0.015494[/C][C]-0.119[/C][C]0.452834[/C][/ROW]
[ROW][C]47[/C][C]-0.039272[/C][C]-0.3017[/C][C]0.381989[/C][/ROW]
[ROW][C]48[/C][C]-0.022829[/C][C]-0.1753[/C][C]0.430703[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=164150&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=164150&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
10.3725552.86160.002911
2-0.201565-1.54830.063455
30.0077490.05950.476368
40.0114240.08780.465186
50.1312031.00780.158836
6-0.135455-1.04040.151189
7-0.084291-0.64750.259925
8-0.131467-1.00980.158353
9-0.195546-1.5020.069213
10-0.105123-0.80750.211321
110.2136261.64090.05307
12-0.235464-1.80860.037802
130.1339681.0290.153833
140.1485011.14070.129311
15-0.047202-0.36260.359113
16-0.097639-0.750.228124
170.265172.03680.023082
180.0591720.45450.325566
190.0351250.26980.394127
20-0.222744-1.71090.046174
210.0129120.09920.460666
220.0361370.27760.391156
230.0162090.12450.450671
24-0.109174-0.83860.202544
25-0.003863-0.02970.488213
26-0.040607-0.31190.378106
270.0480440.3690.356713
280.0481730.370.356344
290.0104250.08010.468224
30-0.028775-0.2210.412918
310.1015150.77970.219328
32-0.108132-0.83060.20478
33-0.072317-0.55550.290334
340.0038560.02960.488236
35-0.003065-0.02350.490647
36-0.037491-0.2880.387187
370.0834690.64110.261958
380.0301360.23150.408873
392.2e-052e-040.499934
400.0108070.0830.467063
41-0.060783-0.46690.321152
42-0.019488-0.14970.440759
430.1020010.78350.218239
44-0.014918-0.11460.454581
45-0.045794-0.35170.36314
46-0.015494-0.1190.452834
47-0.039272-0.30170.381989
48-0.022829-0.17530.430703


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)
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')