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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, 18 May 2017 14:28:57 +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/2017/May/18/t1495114155qf6uaf3q2qec6dn.htm/, Retrieved Fri, 17 May 2024 04:09:47 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 17 May 2024 04:09:47 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
93.43
93.59
95.28
94.95
94.49
94.45
94.35
95.52
96.89
97.54
97.65
97.35
98.2
99.46
100.35
99.72
99.69
99.62
99.77
100.19
100.82
100.36
101.08
100.73
101.51
102.12
102.88
103.47
103.53
103.67
103.68
103.76
103.67
103.01
103.39
103.43
103.4
104.8
105.53
107.45
108.73
109.04
108.75
108.75
108.76
108.41
110.15
109.93
110.6
112.17
113.47
113.35
114.12
115
114.01
113.86
113.83
112.7
111.79
113.77

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'Gwilym Jenkins' @ jenkins.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 & 'Gwilym Jenkins' @ jenkins.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ jenkins.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

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

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


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Gwilym Jenkins' @ jenkins.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.1198340.92050.180539
2-0.048128-0.36970.356472
3-0.002651-0.02040.49191
4-0.161333-1.23920.110086
5-0.240579-1.84790.034814
60.0117840.09050.464093
7-0.057737-0.44350.329517
8-0.339507-2.60780.005762
9-0.044893-0.34480.365723
100.1388481.06650.145269
110.1017810.78180.21873
120.1985731.52530.066268
130.1851111.42190.080165
14-0.020031-0.15390.439121
15-0.009735-0.07480.470322
16-0.139552-1.07190.144061
17-0.156647-1.20320.116846
18-0.119746-0.91980.180714
19-0.095342-0.73230.233432
20-0.017991-0.13820.445278
21-0.062319-0.47870.316968
220.0792210.60850.272593
23-0.054667-0.41990.338039
240.0887130.68140.249136
250.0703430.54030.295508
260.0629540.48360.315244
270.0697230.53560.297141
28-0.01792-0.13760.445496
29-0.030796-0.23650.406913
300.0244120.18750.42595
31-0.066187-0.50840.306538
320.0409560.31460.377093
33-0.014162-0.10880.456872
34-0.094678-0.72720.234979
35-0.043149-0.33140.370744
36-0.013449-0.10330.459038
370.1153380.88590.189626
380.0114410.08790.465135
390.108630.83440.203709
400.03780.29030.386285
410.0537810.41310.340515
420.0105370.08090.467882
43-0.051797-0.39790.346084
44-0.054976-0.42230.337179
45-0.080084-0.61510.270414
46-0.007585-0.05830.47687
470.0370860.28490.388374
48-0.018467-0.14180.443843

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.119834 & 0.9205 & 0.180539 \tabularnewline
2 & -0.048128 & -0.3697 & 0.356472 \tabularnewline
3 & -0.002651 & -0.0204 & 0.49191 \tabularnewline
4 & -0.161333 & -1.2392 & 0.110086 \tabularnewline
5 & -0.240579 & -1.8479 & 0.034814 \tabularnewline
6 & 0.011784 & 0.0905 & 0.464093 \tabularnewline
7 & -0.057737 & -0.4435 & 0.329517 \tabularnewline
8 & -0.339507 & -2.6078 & 0.005762 \tabularnewline
9 & -0.044893 & -0.3448 & 0.365723 \tabularnewline
10 & 0.138848 & 1.0665 & 0.145269 \tabularnewline
11 & 0.101781 & 0.7818 & 0.21873 \tabularnewline
12 & 0.198573 & 1.5253 & 0.066268 \tabularnewline
13 & 0.185111 & 1.4219 & 0.080165 \tabularnewline
14 & -0.020031 & -0.1539 & 0.439121 \tabularnewline
15 & -0.009735 & -0.0748 & 0.470322 \tabularnewline
16 & -0.139552 & -1.0719 & 0.144061 \tabularnewline
17 & -0.156647 & -1.2032 & 0.116846 \tabularnewline
18 & -0.119746 & -0.9198 & 0.180714 \tabularnewline
19 & -0.095342 & -0.7323 & 0.233432 \tabularnewline
20 & -0.017991 & -0.1382 & 0.445278 \tabularnewline
21 & -0.062319 & -0.4787 & 0.316968 \tabularnewline
22 & 0.079221 & 0.6085 & 0.272593 \tabularnewline
23 & -0.054667 & -0.4199 & 0.338039 \tabularnewline
24 & 0.088713 & 0.6814 & 0.249136 \tabularnewline
25 & 0.070343 & 0.5403 & 0.295508 \tabularnewline
26 & 0.062954 & 0.4836 & 0.315244 \tabularnewline
27 & 0.069723 & 0.5356 & 0.297141 \tabularnewline
28 & -0.01792 & -0.1376 & 0.445496 \tabularnewline
29 & -0.030796 & -0.2365 & 0.406913 \tabularnewline
30 & 0.024412 & 0.1875 & 0.42595 \tabularnewline
31 & -0.066187 & -0.5084 & 0.306538 \tabularnewline
32 & 0.040956 & 0.3146 & 0.377093 \tabularnewline
33 & -0.014162 & -0.1088 & 0.456872 \tabularnewline
34 & -0.094678 & -0.7272 & 0.234979 \tabularnewline
35 & -0.043149 & -0.3314 & 0.370744 \tabularnewline
36 & -0.013449 & -0.1033 & 0.459038 \tabularnewline
37 & 0.115338 & 0.8859 & 0.189626 \tabularnewline
38 & 0.011441 & 0.0879 & 0.465135 \tabularnewline
39 & 0.10863 & 0.8344 & 0.203709 \tabularnewline
40 & 0.0378 & 0.2903 & 0.386285 \tabularnewline
41 & 0.053781 & 0.4131 & 0.340515 \tabularnewline
42 & 0.010537 & 0.0809 & 0.467882 \tabularnewline
43 & -0.051797 & -0.3979 & 0.346084 \tabularnewline
44 & -0.054976 & -0.4223 & 0.337179 \tabularnewline
45 & -0.080084 & -0.6151 & 0.270414 \tabularnewline
46 & -0.007585 & -0.0583 & 0.47687 \tabularnewline
47 & 0.037086 & 0.2849 & 0.388374 \tabularnewline
48 & -0.018467 & -0.1418 & 0.443843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]ACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.119834[/C][C]0.9205[/C][C]0.180539[/C][/ROW]
[ROW][C]2[/C][C]-0.048128[/C][C]-0.3697[/C][C]0.356472[/C][/ROW]
[ROW][C]3[/C][C]-0.002651[/C][C]-0.0204[/C][C]0.49191[/C][/ROW]
[ROW][C]4[/C][C]-0.161333[/C][C]-1.2392[/C][C]0.110086[/C][/ROW]
[ROW][C]5[/C][C]-0.240579[/C][C]-1.8479[/C][C]0.034814[/C][/ROW]
[ROW][C]6[/C][C]0.011784[/C][C]0.0905[/C][C]0.464093[/C][/ROW]
[ROW][C]7[/C][C]-0.057737[/C][C]-0.4435[/C][C]0.329517[/C][/ROW]
[ROW][C]8[/C][C]-0.339507[/C][C]-2.6078[/C][C]0.005762[/C][/ROW]
[ROW][C]9[/C][C]-0.044893[/C][C]-0.3448[/C][C]0.365723[/C][/ROW]
[ROW][C]10[/C][C]0.138848[/C][C]1.0665[/C][C]0.145269[/C][/ROW]
[ROW][C]11[/C][C]0.101781[/C][C]0.7818[/C][C]0.21873[/C][/ROW]
[ROW][C]12[/C][C]0.198573[/C][C]1.5253[/C][C]0.066268[/C][/ROW]
[ROW][C]13[/C][C]0.185111[/C][C]1.4219[/C][C]0.080165[/C][/ROW]
[ROW][C]14[/C][C]-0.020031[/C][C]-0.1539[/C][C]0.439121[/C][/ROW]
[ROW][C]15[/C][C]-0.009735[/C][C]-0.0748[/C][C]0.470322[/C][/ROW]
[ROW][C]16[/C][C]-0.139552[/C][C]-1.0719[/C][C]0.144061[/C][/ROW]
[ROW][C]17[/C][C]-0.156647[/C][C]-1.2032[/C][C]0.116846[/C][/ROW]
[ROW][C]18[/C][C]-0.119746[/C][C]-0.9198[/C][C]0.180714[/C][/ROW]
[ROW][C]19[/C][C]-0.095342[/C][C]-0.7323[/C][C]0.233432[/C][/ROW]
[ROW][C]20[/C][C]-0.017991[/C][C]-0.1382[/C][C]0.445278[/C][/ROW]
[ROW][C]21[/C][C]-0.062319[/C][C]-0.4787[/C][C]0.316968[/C][/ROW]
[ROW][C]22[/C][C]0.079221[/C][C]0.6085[/C][C]0.272593[/C][/ROW]
[ROW][C]23[/C][C]-0.054667[/C][C]-0.4199[/C][C]0.338039[/C][/ROW]
[ROW][C]24[/C][C]0.088713[/C][C]0.6814[/C][C]0.249136[/C][/ROW]
[ROW][C]25[/C][C]0.070343[/C][C]0.5403[/C][C]0.295508[/C][/ROW]
[ROW][C]26[/C][C]0.062954[/C][C]0.4836[/C][C]0.315244[/C][/ROW]
[ROW][C]27[/C][C]0.069723[/C][C]0.5356[/C][C]0.297141[/C][/ROW]
[ROW][C]28[/C][C]-0.01792[/C][C]-0.1376[/C][C]0.445496[/C][/ROW]
[ROW][C]29[/C][C]-0.030796[/C][C]-0.2365[/C][C]0.406913[/C][/ROW]
[ROW][C]30[/C][C]0.024412[/C][C]0.1875[/C][C]0.42595[/C][/ROW]
[ROW][C]31[/C][C]-0.066187[/C][C]-0.5084[/C][C]0.306538[/C][/ROW]
[ROW][C]32[/C][C]0.040956[/C][C]0.3146[/C][C]0.377093[/C][/ROW]
[ROW][C]33[/C][C]-0.014162[/C][C]-0.1088[/C][C]0.456872[/C][/ROW]
[ROW][C]34[/C][C]-0.094678[/C][C]-0.7272[/C][C]0.234979[/C][/ROW]
[ROW][C]35[/C][C]-0.043149[/C][C]-0.3314[/C][C]0.370744[/C][/ROW]
[ROW][C]36[/C][C]-0.013449[/C][C]-0.1033[/C][C]0.459038[/C][/ROW]
[ROW][C]37[/C][C]0.115338[/C][C]0.8859[/C][C]0.189626[/C][/ROW]
[ROW][C]38[/C][C]0.011441[/C][C]0.0879[/C][C]0.465135[/C][/ROW]
[ROW][C]39[/C][C]0.10863[/C][C]0.8344[/C][C]0.203709[/C][/ROW]
[ROW][C]40[/C][C]0.0378[/C][C]0.2903[/C][C]0.386285[/C][/ROW]
[ROW][C]41[/C][C]0.053781[/C][C]0.4131[/C][C]0.340515[/C][/ROW]
[ROW][C]42[/C][C]0.010537[/C][C]0.0809[/C][C]0.467882[/C][/ROW]
[ROW][C]43[/C][C]-0.051797[/C][C]-0.3979[/C][C]0.346084[/C][/ROW]
[ROW][C]44[/C][C]-0.054976[/C][C]-0.4223[/C][C]0.337179[/C][/ROW]
[ROW][C]45[/C][C]-0.080084[/C][C]-0.6151[/C][C]0.270414[/C][/ROW]
[ROW][C]46[/C][C]-0.007585[/C][C]-0.0583[/C][C]0.47687[/C][/ROW]
[ROW][C]47[/C][C]0.037086[/C][C]0.2849[/C][C]0.388374[/C][/ROW]
[ROW][C]48[/C][C]-0.018467[/C][C]-0.1418[/C][C]0.443843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=1

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


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

Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.1198340.92050.180539
2-0.048128-0.36970.356472
3-0.002651-0.02040.49191
4-0.161333-1.23920.110086
5-0.240579-1.84790.034814
60.0117840.09050.464093
7-0.057737-0.44350.329517
8-0.339507-2.60780.005762
9-0.044893-0.34480.365723
100.1388481.06650.145269
110.1017810.78180.21873
120.1985731.52530.066268
130.1851111.42190.080165
14-0.020031-0.15390.439121
15-0.009735-0.07480.470322
16-0.139552-1.07190.144061
17-0.156647-1.20320.116846
18-0.119746-0.91980.180714
19-0.095342-0.73230.233432
20-0.017991-0.13820.445278
21-0.062319-0.47870.316968
220.0792210.60850.272593
23-0.054667-0.41990.338039
240.0887130.68140.249136
250.0703430.54030.295508
260.0629540.48360.315244
270.0697230.53560.297141
28-0.01792-0.13760.445496
29-0.030796-0.23650.406913
300.0244120.18750.42595
31-0.066187-0.50840.306538
320.0409560.31460.377093
33-0.014162-0.10880.456872
34-0.094678-0.72720.234979
35-0.043149-0.33140.370744
36-0.013449-0.10330.459038
370.1153380.88590.189626
380.0114410.08790.465135
390.108630.83440.203709
400.03780.29030.386285
410.0537810.41310.340515
420.0105370.08090.467882
43-0.051797-0.39790.346084
44-0.054976-0.42230.337179
45-0.080084-0.61510.270414
46-0.007585-0.05830.47687
470.0370860.28490.388374
48-0.018467-0.14180.443843






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.1198340.92050.180539
2-0.063399-0.4870.314039
30.0112860.08670.465606
4-0.168576-1.29490.100208
5-0.207637-1.59490.05804
60.0456330.35050.363601
7-0.095971-0.73720.231971
8-0.376809-2.89430.002659
9-0.078241-0.6010.275076
100.0713510.54810.29286
110.0585380.44960.327309
120.0549370.4220.337286
130.0113850.08750.465305
140.0172110.13220.447638
150.0714530.54880.292593
16-0.242468-1.86240.033762
17-0.121074-0.930.178083
18-0.017543-0.13480.446633
19-0.056195-0.43160.333787
200.020880.16040.436563
21-0.169841-1.30460.098551
220.006970.05350.478741
23-0.172419-1.32440.095242
24-0.1194-0.91710.181404
25-0.159369-1.22410.112883
26-0.041406-0.3180.375786
270.0334940.25730.398931
28-0.051056-0.39220.348174
29-0.024575-0.18880.425462
300.0893820.68660.247527
31-0.110186-0.84640.200387
320.0408160.31350.377498
33-0.103025-0.79140.215954
34-0.125081-0.96080.170296
35-0.036601-0.28110.389795
36-0.10875-0.83530.203452
370.0770230.59160.27818
38-0.058895-0.45240.326328
39-0.061129-0.46950.320207
40-0.021904-0.16820.433482
410.0557720.42840.334962
42-0.12247-0.94070.175344
43-0.102285-0.78570.217603
44-0.096902-0.74430.22982
450.0457080.35110.363386
460.081680.62740.266411
470.0386260.29670.383873
48-0.00693-0.05320.478863

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.119834 & 0.9205 & 0.180539 \tabularnewline
2 & -0.063399 & -0.487 & 0.314039 \tabularnewline
3 & 0.011286 & 0.0867 & 0.465606 \tabularnewline
4 & -0.168576 & -1.2949 & 0.100208 \tabularnewline
5 & -0.207637 & -1.5949 & 0.05804 \tabularnewline
6 & 0.045633 & 0.3505 & 0.363601 \tabularnewline
7 & -0.095971 & -0.7372 & 0.231971 \tabularnewline
8 & -0.376809 & -2.8943 & 0.002659 \tabularnewline
9 & -0.078241 & -0.601 & 0.275076 \tabularnewline
10 & 0.071351 & 0.5481 & 0.29286 \tabularnewline
11 & 0.058538 & 0.4496 & 0.327309 \tabularnewline
12 & 0.054937 & 0.422 & 0.337286 \tabularnewline
13 & 0.011385 & 0.0875 & 0.465305 \tabularnewline
14 & 0.017211 & 0.1322 & 0.447638 \tabularnewline
15 & 0.071453 & 0.5488 & 0.292593 \tabularnewline
16 & -0.242468 & -1.8624 & 0.033762 \tabularnewline
17 & -0.121074 & -0.93 & 0.178083 \tabularnewline
18 & -0.017543 & -0.1348 & 0.446633 \tabularnewline
19 & -0.056195 & -0.4316 & 0.333787 \tabularnewline
20 & 0.02088 & 0.1604 & 0.436563 \tabularnewline
21 & -0.169841 & -1.3046 & 0.098551 \tabularnewline
22 & 0.00697 & 0.0535 & 0.478741 \tabularnewline
23 & -0.172419 & -1.3244 & 0.095242 \tabularnewline
24 & -0.1194 & -0.9171 & 0.181404 \tabularnewline
25 & -0.159369 & -1.2241 & 0.112883 \tabularnewline
26 & -0.041406 & -0.318 & 0.375786 \tabularnewline
27 & 0.033494 & 0.2573 & 0.398931 \tabularnewline
28 & -0.051056 & -0.3922 & 0.348174 \tabularnewline
29 & -0.024575 & -0.1888 & 0.425462 \tabularnewline
30 & 0.089382 & 0.6866 & 0.247527 \tabularnewline
31 & -0.110186 & -0.8464 & 0.200387 \tabularnewline
32 & 0.040816 & 0.3135 & 0.377498 \tabularnewline
33 & -0.103025 & -0.7914 & 0.215954 \tabularnewline
34 & -0.125081 & -0.9608 & 0.170296 \tabularnewline
35 & -0.036601 & -0.2811 & 0.389795 \tabularnewline
36 & -0.10875 & -0.8353 & 0.203452 \tabularnewline
37 & 0.077023 & 0.5916 & 0.27818 \tabularnewline
38 & -0.058895 & -0.4524 & 0.326328 \tabularnewline
39 & -0.061129 & -0.4695 & 0.320207 \tabularnewline
40 & -0.021904 & -0.1682 & 0.433482 \tabularnewline
41 & 0.055772 & 0.4284 & 0.334962 \tabularnewline
42 & -0.12247 & -0.9407 & 0.175344 \tabularnewline
43 & -0.102285 & -0.7857 & 0.217603 \tabularnewline
44 & -0.096902 & -0.7443 & 0.22982 \tabularnewline
45 & 0.045708 & 0.3511 & 0.363386 \tabularnewline
46 & 0.08168 & 0.6274 & 0.266411 \tabularnewline
47 & 0.038626 & 0.2967 & 0.383873 \tabularnewline
48 & -0.00693 & -0.0532 & 0.478863 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Partial Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]PACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.119834[/C][C]0.9205[/C][C]0.180539[/C][/ROW]
[ROW][C]2[/C][C]-0.063399[/C][C]-0.487[/C][C]0.314039[/C][/ROW]
[ROW][C]3[/C][C]0.011286[/C][C]0.0867[/C][C]0.465606[/C][/ROW]
[ROW][C]4[/C][C]-0.168576[/C][C]-1.2949[/C][C]0.100208[/C][/ROW]
[ROW][C]5[/C][C]-0.207637[/C][C]-1.5949[/C][C]0.05804[/C][/ROW]
[ROW][C]6[/C][C]0.045633[/C][C]0.3505[/C][C]0.363601[/C][/ROW]
[ROW][C]7[/C][C]-0.095971[/C][C]-0.7372[/C][C]0.231971[/C][/ROW]
[ROW][C]8[/C][C]-0.376809[/C][C]-2.8943[/C][C]0.002659[/C][/ROW]
[ROW][C]9[/C][C]-0.078241[/C][C]-0.601[/C][C]0.275076[/C][/ROW]
[ROW][C]10[/C][C]0.071351[/C][C]0.5481[/C][C]0.29286[/C][/ROW]
[ROW][C]11[/C][C]0.058538[/C][C]0.4496[/C][C]0.327309[/C][/ROW]
[ROW][C]12[/C][C]0.054937[/C][C]0.422[/C][C]0.337286[/C][/ROW]
[ROW][C]13[/C][C]0.011385[/C][C]0.0875[/C][C]0.465305[/C][/ROW]
[ROW][C]14[/C][C]0.017211[/C][C]0.1322[/C][C]0.447638[/C][/ROW]
[ROW][C]15[/C][C]0.071453[/C][C]0.5488[/C][C]0.292593[/C][/ROW]
[ROW][C]16[/C][C]-0.242468[/C][C]-1.8624[/C][C]0.033762[/C][/ROW]
[ROW][C]17[/C][C]-0.121074[/C][C]-0.93[/C][C]0.178083[/C][/ROW]
[ROW][C]18[/C][C]-0.017543[/C][C]-0.1348[/C][C]0.446633[/C][/ROW]
[ROW][C]19[/C][C]-0.056195[/C][C]-0.4316[/C][C]0.333787[/C][/ROW]
[ROW][C]20[/C][C]0.02088[/C][C]0.1604[/C][C]0.436563[/C][/ROW]
[ROW][C]21[/C][C]-0.169841[/C][C]-1.3046[/C][C]0.098551[/C][/ROW]
[ROW][C]22[/C][C]0.00697[/C][C]0.0535[/C][C]0.478741[/C][/ROW]
[ROW][C]23[/C][C]-0.172419[/C][C]-1.3244[/C][C]0.095242[/C][/ROW]
[ROW][C]24[/C][C]-0.1194[/C][C]-0.9171[/C][C]0.181404[/C][/ROW]
[ROW][C]25[/C][C]-0.159369[/C][C]-1.2241[/C][C]0.112883[/C][/ROW]
[ROW][C]26[/C][C]-0.041406[/C][C]-0.318[/C][C]0.375786[/C][/ROW]
[ROW][C]27[/C][C]0.033494[/C][C]0.2573[/C][C]0.398931[/C][/ROW]
[ROW][C]28[/C][C]-0.051056[/C][C]-0.3922[/C][C]0.348174[/C][/ROW]
[ROW][C]29[/C][C]-0.024575[/C][C]-0.1888[/C][C]0.425462[/C][/ROW]
[ROW][C]30[/C][C]0.089382[/C][C]0.6866[/C][C]0.247527[/C][/ROW]
[ROW][C]31[/C][C]-0.110186[/C][C]-0.8464[/C][C]0.200387[/C][/ROW]
[ROW][C]32[/C][C]0.040816[/C][C]0.3135[/C][C]0.377498[/C][/ROW]
[ROW][C]33[/C][C]-0.103025[/C][C]-0.7914[/C][C]0.215954[/C][/ROW]
[ROW][C]34[/C][C]-0.125081[/C][C]-0.9608[/C][C]0.170296[/C][/ROW]
[ROW][C]35[/C][C]-0.036601[/C][C]-0.2811[/C][C]0.389795[/C][/ROW]
[ROW][C]36[/C][C]-0.10875[/C][C]-0.8353[/C][C]0.203452[/C][/ROW]
[ROW][C]37[/C][C]0.077023[/C][C]0.5916[/C][C]0.27818[/C][/ROW]
[ROW][C]38[/C][C]-0.058895[/C][C]-0.4524[/C][C]0.326328[/C][/ROW]
[ROW][C]39[/C][C]-0.061129[/C][C]-0.4695[/C][C]0.320207[/C][/ROW]
[ROW][C]40[/C][C]-0.021904[/C][C]-0.1682[/C][C]0.433482[/C][/ROW]
[ROW][C]41[/C][C]0.055772[/C][C]0.4284[/C][C]0.334962[/C][/ROW]
[ROW][C]42[/C][C]-0.12247[/C][C]-0.9407[/C][C]0.175344[/C][/ROW]
[ROW][C]43[/C][C]-0.102285[/C][C]-0.7857[/C][C]0.217603[/C][/ROW]
[ROW][C]44[/C][C]-0.096902[/C][C]-0.7443[/C][C]0.22982[/C][/ROW]
[ROW][C]45[/C][C]0.045708[/C][C]0.3511[/C][C]0.363386[/C][/ROW]
[ROW][C]46[/C][C]0.08168[/C][C]0.6274[/C][C]0.266411[/C][/ROW]
[ROW][C]47[/C][C]0.038626[/C][C]0.2967[/C][C]0.383873[/C][/ROW]
[ROW][C]48[/C][C]-0.00693[/C][C]-0.0532[/C][C]0.478863[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=&T=2

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


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

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.1198340.92050.180539
2-0.063399-0.4870.314039
30.0112860.08670.465606
4-0.168576-1.29490.100208
5-0.207637-1.59490.05804
60.0456330.35050.363601
7-0.095971-0.73720.231971
8-0.376809-2.89430.002659
9-0.078241-0.6010.275076
100.0713510.54810.29286
110.0585380.44960.327309
120.0549370.4220.337286
130.0113850.08750.465305
140.0172110.13220.447638
150.0714530.54880.292593
16-0.242468-1.86240.033762
17-0.121074-0.930.178083
18-0.017543-0.13480.446633
19-0.056195-0.43160.333787
200.020880.16040.436563
21-0.169841-1.30460.098551
220.006970.05350.478741
23-0.172419-1.32440.095242
24-0.1194-0.91710.181404
25-0.159369-1.22410.112883
26-0.041406-0.3180.375786
270.0334940.25730.398931
28-0.051056-0.39220.348174
29-0.024575-0.18880.425462
300.0893820.68660.247527
31-0.110186-0.84640.200387
320.0408160.31350.377498
33-0.103025-0.79140.215954
34-0.125081-0.96080.170296
35-0.036601-0.28110.389795
36-0.10875-0.83530.203452
370.0770230.59160.27818
38-0.058895-0.45240.326328
39-0.061129-0.46950.320207
40-0.021904-0.16820.433482
410.0557720.42840.334962
42-0.12247-0.94070.175344
43-0.102285-0.78570.217603
44-0.096902-0.74430.22982
450.0457080.35110.363386
460.081680.62740.266411
470.0386260.29670.383873
48-0.00693-0.05320.478863


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = ;
R code (references can be found in the software module):
if (par1 == 'Default') {
par1 = 10*log10(length(x))
} else {
par1 <- as.numeric(par1)
}
par2 <- as.numeric(par2)
par3 <- as.numeric(par3)
par4 <- as.numeric(par4)
par5 <- as.numeric(par5)
if (par6 == 'White Noise') par6 <- 'white' else par6 <- 'ma'
par7 <- as.numeric(par7)
if (par8 != '') par8 <- as.numeric(par8)
x <- na.omit(x)
ox <- x
if (par8 == '') {
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
} else {
x <- log(x,base=par8)
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='picts.png')
op <- par(mfrow=c(2,1))
plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
if (par8=='') {
mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
} else {
mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
}
plot(x,type='l', main=mytitle,xlab='time',ylab='value')
par(op)
dev.off()
bitmap(file='pic1.png')
racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 2:(par1+1)) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')