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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, 13 Apr 2017 14:08:09 +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/Apr/13/t1492088907p2xe0spuua4wgo2.htm/, Retrieved Fri, 10 May 2024 16:14:27 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Fri, 10 May 2024 16:14:27 +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 
 93,65   
 92,68   
 92,70   
 92,73   
 92,80   
 92,86   
 93,02   
 93,02   
 93,04   
 93,09   
 93,11   
 93,11   
 93,20   
 93,21   
 93,22   
 93,23   
 93,29   
 93,42   
 93,43   
 93,45   
 93,45   
 93,49   
 93,50   
 93,56   
 93,68   
 93,70   
 94,01   
 94,07   
 94,33   
 94,43   
 94,47   
 95,35   
 95,37   
 95,46   
 95,83   
 96,00   
 96,85   
 97,84   
 98,38   
 98,90   
 99,51   
 99,93   
 99,95   
 101,40   
 101,56   
 101,65   
 101,70   
 101,91   
 101,91   
 102,29   
 102,33   
 102,44   
 102,57   
 102,59   
 102,84   
 102,88   
 103,04   
 103,16   
 103,20   
 103,23   
 103,27   
 103,31   
 103,59   
 104,35   
 104,55   
 104,60   
 104,67   
 104,93   
 105,08   
 105,15   
 109,25   
 109,82

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 seconds
R Server'George Udny Yule' @ yule.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 & 3 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.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]3 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.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 time3 seconds
R Server'George Udny Yule' @ yule.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.1550331.19080.119245
20.1102920.84720.200162
30.1545221.18690.12001
40.0727190.55860.289286
50.0606010.46550.321648
60.0994160.76360.224066
70.1451891.11520.134639
80.0066820.05130.479619
9-0.057995-0.44550.328806
10-0.034018-0.26130.397388
11-0.078665-0.60420.274001
12-0.122391-0.94010.175499
13-0.040078-0.30780.379642
14-0.09601-0.73750.23188
15-0.320029-2.45820.00846
16-0.076376-0.58670.279838
17-0.132217-1.01560.156989
18-0.161957-1.2440.109207
19-0.160141-1.23010.111777
20-0.120192-0.92320.179828
21-0.164801-1.26590.105269
22-0.205293-1.57690.060085
23-0.011133-0.08550.466071
24-0.090692-0.69660.244389
25-0.036548-0.28070.389949
260.0452550.34760.364685
270.0876450.67320.25172
280.0065430.05030.480043
290.0208680.16030.436601
300.0666040.51160.305422
310.0874020.67140.252308
320.053140.40820.34231
330.1415461.08720.140677
340.1346341.03410.152645
35-0.008799-0.06760.473172
360.0374070.28730.387434
370.0032640.02510.490043
38-0.03015-0.23160.408829
390.1104080.84810.199916
40-0.008508-0.06530.474058
41-0.006915-0.05310.478909
42-0.04014-0.30830.379461
43-0.00886-0.06810.472985
440.0277060.21280.416103
45-0.017583-0.13510.446514
46-0.0218-0.16740.433794
47-0.011383-0.08740.465311
48-0.035891-0.27570.391877

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.155033 & 1.1908 & 0.119245 \tabularnewline
2 & 0.110292 & 0.8472 & 0.200162 \tabularnewline
3 & 0.154522 & 1.1869 & 0.12001 \tabularnewline
4 & 0.072719 & 0.5586 & 0.289286 \tabularnewline
5 & 0.060601 & 0.4655 & 0.321648 \tabularnewline
6 & 0.099416 & 0.7636 & 0.224066 \tabularnewline
7 & 0.145189 & 1.1152 & 0.134639 \tabularnewline
8 & 0.006682 & 0.0513 & 0.479619 \tabularnewline
9 & -0.057995 & -0.4455 & 0.328806 \tabularnewline
10 & -0.034018 & -0.2613 & 0.397388 \tabularnewline
11 & -0.078665 & -0.6042 & 0.274001 \tabularnewline
12 & -0.122391 & -0.9401 & 0.175499 \tabularnewline
13 & -0.040078 & -0.3078 & 0.379642 \tabularnewline
14 & -0.09601 & -0.7375 & 0.23188 \tabularnewline
15 & -0.320029 & -2.4582 & 0.00846 \tabularnewline
16 & -0.076376 & -0.5867 & 0.279838 \tabularnewline
17 & -0.132217 & -1.0156 & 0.156989 \tabularnewline
18 & -0.161957 & -1.244 & 0.109207 \tabularnewline
19 & -0.160141 & -1.2301 & 0.111777 \tabularnewline
20 & -0.120192 & -0.9232 & 0.179828 \tabularnewline
21 & -0.164801 & -1.2659 & 0.105269 \tabularnewline
22 & -0.205293 & -1.5769 & 0.060085 \tabularnewline
23 & -0.011133 & -0.0855 & 0.466071 \tabularnewline
24 & -0.090692 & -0.6966 & 0.244389 \tabularnewline
25 & -0.036548 & -0.2807 & 0.389949 \tabularnewline
26 & 0.045255 & 0.3476 & 0.364685 \tabularnewline
27 & 0.087645 & 0.6732 & 0.25172 \tabularnewline
28 & 0.006543 & 0.0503 & 0.480043 \tabularnewline
29 & 0.020868 & 0.1603 & 0.436601 \tabularnewline
30 & 0.066604 & 0.5116 & 0.305422 \tabularnewline
31 & 0.087402 & 0.6714 & 0.252308 \tabularnewline
32 & 0.05314 & 0.4082 & 0.34231 \tabularnewline
33 & 0.141546 & 1.0872 & 0.140677 \tabularnewline
34 & 0.134634 & 1.0341 & 0.152645 \tabularnewline
35 & -0.008799 & -0.0676 & 0.473172 \tabularnewline
36 & 0.037407 & 0.2873 & 0.387434 \tabularnewline
37 & 0.003264 & 0.0251 & 0.490043 \tabularnewline
38 & -0.03015 & -0.2316 & 0.408829 \tabularnewline
39 & 0.110408 & 0.8481 & 0.199916 \tabularnewline
40 & -0.008508 & -0.0653 & 0.474058 \tabularnewline
41 & -0.006915 & -0.0531 & 0.478909 \tabularnewline
42 & -0.04014 & -0.3083 & 0.379461 \tabularnewline
43 & -0.00886 & -0.0681 & 0.472985 \tabularnewline
44 & 0.027706 & 0.2128 & 0.416103 \tabularnewline
45 & -0.017583 & -0.1351 & 0.446514 \tabularnewline
46 & -0.0218 & -0.1674 & 0.433794 \tabularnewline
47 & -0.011383 & -0.0874 & 0.465311 \tabularnewline
48 & -0.035891 & -0.2757 & 0.391877 \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]0.155033[/C][C]1.1908[/C][C]0.119245[/C][/ROW]
[ROW][C]2[/C][C]0.110292[/C][C]0.8472[/C][C]0.200162[/C][/ROW]
[ROW][C]3[/C][C]0.154522[/C][C]1.1869[/C][C]0.12001[/C][/ROW]
[ROW][C]4[/C][C]0.072719[/C][C]0.5586[/C][C]0.289286[/C][/ROW]
[ROW][C]5[/C][C]0.060601[/C][C]0.4655[/C][C]0.321648[/C][/ROW]
[ROW][C]6[/C][C]0.099416[/C][C]0.7636[/C][C]0.224066[/C][/ROW]
[ROW][C]7[/C][C]0.145189[/C][C]1.1152[/C][C]0.134639[/C][/ROW]
[ROW][C]8[/C][C]0.006682[/C][C]0.0513[/C][C]0.479619[/C][/ROW]
[ROW][C]9[/C][C]-0.057995[/C][C]-0.4455[/C][C]0.328806[/C][/ROW]
[ROW][C]10[/C][C]-0.034018[/C][C]-0.2613[/C][C]0.397388[/C][/ROW]
[ROW][C]11[/C][C]-0.078665[/C][C]-0.6042[/C][C]0.274001[/C][/ROW]
[ROW][C]12[/C][C]-0.122391[/C][C]-0.9401[/C][C]0.175499[/C][/ROW]
[ROW][C]13[/C][C]-0.040078[/C][C]-0.3078[/C][C]0.379642[/C][/ROW]
[ROW][C]14[/C][C]-0.09601[/C][C]-0.7375[/C][C]0.23188[/C][/ROW]
[ROW][C]15[/C][C]-0.320029[/C][C]-2.4582[/C][C]0.00846[/C][/ROW]
[ROW][C]16[/C][C]-0.076376[/C][C]-0.5867[/C][C]0.279838[/C][/ROW]
[ROW][C]17[/C][C]-0.132217[/C][C]-1.0156[/C][C]0.156989[/C][/ROW]
[ROW][C]18[/C][C]-0.161957[/C][C]-1.244[/C][C]0.109207[/C][/ROW]
[ROW][C]19[/C][C]-0.160141[/C][C]-1.2301[/C][C]0.111777[/C][/ROW]
[ROW][C]20[/C][C]-0.120192[/C][C]-0.9232[/C][C]0.179828[/C][/ROW]
[ROW][C]21[/C][C]-0.164801[/C][C]-1.2659[/C][C]0.105269[/C][/ROW]
[ROW][C]22[/C][C]-0.205293[/C][C]-1.5769[/C][C]0.060085[/C][/ROW]
[ROW][C]23[/C][C]-0.011133[/C][C]-0.0855[/C][C]0.466071[/C][/ROW]
[ROW][C]24[/C][C]-0.090692[/C][C]-0.6966[/C][C]0.244389[/C][/ROW]
[ROW][C]25[/C][C]-0.036548[/C][C]-0.2807[/C][C]0.389949[/C][/ROW]
[ROW][C]26[/C][C]0.045255[/C][C]0.3476[/C][C]0.364685[/C][/ROW]
[ROW][C]27[/C][C]0.087645[/C][C]0.6732[/C][C]0.25172[/C][/ROW]
[ROW][C]28[/C][C]0.006543[/C][C]0.0503[/C][C]0.480043[/C][/ROW]
[ROW][C]29[/C][C]0.020868[/C][C]0.1603[/C][C]0.436601[/C][/ROW]
[ROW][C]30[/C][C]0.066604[/C][C]0.5116[/C][C]0.305422[/C][/ROW]
[ROW][C]31[/C][C]0.087402[/C][C]0.6714[/C][C]0.252308[/C][/ROW]
[ROW][C]32[/C][C]0.05314[/C][C]0.4082[/C][C]0.34231[/C][/ROW]
[ROW][C]33[/C][C]0.141546[/C][C]1.0872[/C][C]0.140677[/C][/ROW]
[ROW][C]34[/C][C]0.134634[/C][C]1.0341[/C][C]0.152645[/C][/ROW]
[ROW][C]35[/C][C]-0.008799[/C][C]-0.0676[/C][C]0.473172[/C][/ROW]
[ROW][C]36[/C][C]0.037407[/C][C]0.2873[/C][C]0.387434[/C][/ROW]
[ROW][C]37[/C][C]0.003264[/C][C]0.0251[/C][C]0.490043[/C][/ROW]
[ROW][C]38[/C][C]-0.03015[/C][C]-0.2316[/C][C]0.408829[/C][/ROW]
[ROW][C]39[/C][C]0.110408[/C][C]0.8481[/C][C]0.199916[/C][/ROW]
[ROW][C]40[/C][C]-0.008508[/C][C]-0.0653[/C][C]0.474058[/C][/ROW]
[ROW][C]41[/C][C]-0.006915[/C][C]-0.0531[/C][C]0.478909[/C][/ROW]
[ROW][C]42[/C][C]-0.04014[/C][C]-0.3083[/C][C]0.379461[/C][/ROW]
[ROW][C]43[/C][C]-0.00886[/C][C]-0.0681[/C][C]0.472985[/C][/ROW]
[ROW][C]44[/C][C]0.027706[/C][C]0.2128[/C][C]0.416103[/C][/ROW]
[ROW][C]45[/C][C]-0.017583[/C][C]-0.1351[/C][C]0.446514[/C][/ROW]
[ROW][C]46[/C][C]-0.0218[/C][C]-0.1674[/C][C]0.433794[/C][/ROW]
[ROW][C]47[/C][C]-0.011383[/C][C]-0.0874[/C][C]0.465311[/C][/ROW]
[ROW][C]48[/C][C]-0.035891[/C][C]-0.2757[/C][C]0.391877[/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
10.1550331.19080.119245
20.1102920.84720.200162
30.1545221.18690.12001
40.0727190.55860.289286
50.0606010.46550.321648
60.0994160.76360.224066
70.1451891.11520.134639
80.0066820.05130.479619
9-0.057995-0.44550.328806
10-0.034018-0.26130.397388
11-0.078665-0.60420.274001
12-0.122391-0.94010.175499
13-0.040078-0.30780.379642
14-0.09601-0.73750.23188
15-0.320029-2.45820.00846
16-0.076376-0.58670.279838
17-0.132217-1.01560.156989
18-0.161957-1.2440.109207
19-0.160141-1.23010.111777
20-0.120192-0.92320.179828
21-0.164801-1.26590.105269
22-0.205293-1.57690.060085
23-0.011133-0.08550.466071
24-0.090692-0.69660.244389
25-0.036548-0.28070.389949
260.0452550.34760.364685
270.0876450.67320.25172
280.0065430.05030.480043
290.0208680.16030.436601
300.0666040.51160.305422
310.0874020.67140.252308
320.053140.40820.34231
330.1415461.08720.140677
340.1346341.03410.152645
35-0.008799-0.06760.473172
360.0374070.28730.387434
370.0032640.02510.490043
38-0.03015-0.23160.408829
390.1104080.84810.199916
40-0.008508-0.06530.474058
41-0.006915-0.05310.478909
42-0.04014-0.30830.379461
43-0.00886-0.06810.472985
440.0277060.21280.416103
45-0.017583-0.13510.446514
46-0.0218-0.16740.433794
47-0.011383-0.08740.465311
48-0.035891-0.27570.391877






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.1550331.19080.119245
20.0883810.67890.249938
30.1293270.99340.162291
40.0261150.20060.420855
50.0240810.1850.426944
60.0647350.49720.310435
70.1117340.85820.197116
8-0.051451-0.39520.347058
9-0.101201-0.77730.220033
10-0.055043-0.42280.336992
11-0.069314-0.53240.298221
12-0.098766-0.75860.225544
13-0.007553-0.0580.476965
14-0.068156-0.52350.301287
15-0.274605-2.10930.019587
160.0393220.3020.381844
17-0.050324-0.38650.350243
18-0.052873-0.40610.343059
19-0.096372-0.74020.231043
20-0.053856-0.41370.340307
21-0.08635-0.66330.254872
22-0.095615-0.73440.232798
230.0521920.40090.344973
24-0.087969-0.67570.250934
250.014420.11080.456089
260.0489580.37610.354114
270.0803640.61730.26971
28-0.00072-0.00550.497802
29-0.03008-0.23110.409037
30-0.078663-0.60420.274007
310.053980.41460.339958
32-0.04584-0.35210.363007
330.0234710.18030.428774
34-0.007196-0.05530.478054
35-0.113389-0.8710.193655
36-0.080993-0.62210.268129
37-0.123677-0.950.172999
38-0.058611-0.45020.327107
390.0218170.16760.433745
40-0.096592-0.74190.230535
41-0.046863-0.360.360082
42-0.028745-0.22080.413008
43-0.009543-0.07330.470907
440.0463960.35640.361415
450.0069430.05330.478823
46-0.017025-0.13080.4482
47-0.001517-0.01170.49537
480.0595450.45740.324542

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.155033 & 1.1908 & 0.119245 \tabularnewline
2 & 0.088381 & 0.6789 & 0.249938 \tabularnewline
3 & 0.129327 & 0.9934 & 0.162291 \tabularnewline
4 & 0.026115 & 0.2006 & 0.420855 \tabularnewline
5 & 0.024081 & 0.185 & 0.426944 \tabularnewline
6 & 0.064735 & 0.4972 & 0.310435 \tabularnewline
7 & 0.111734 & 0.8582 & 0.197116 \tabularnewline
8 & -0.051451 & -0.3952 & 0.347058 \tabularnewline
9 & -0.101201 & -0.7773 & 0.220033 \tabularnewline
10 & -0.055043 & -0.4228 & 0.336992 \tabularnewline
11 & -0.069314 & -0.5324 & 0.298221 \tabularnewline
12 & -0.098766 & -0.7586 & 0.225544 \tabularnewline
13 & -0.007553 & -0.058 & 0.476965 \tabularnewline
14 & -0.068156 & -0.5235 & 0.301287 \tabularnewline
15 & -0.274605 & -2.1093 & 0.019587 \tabularnewline
16 & 0.039322 & 0.302 & 0.381844 \tabularnewline
17 & -0.050324 & -0.3865 & 0.350243 \tabularnewline
18 & -0.052873 & -0.4061 & 0.343059 \tabularnewline
19 & -0.096372 & -0.7402 & 0.231043 \tabularnewline
20 & -0.053856 & -0.4137 & 0.340307 \tabularnewline
21 & -0.08635 & -0.6633 & 0.254872 \tabularnewline
22 & -0.095615 & -0.7344 & 0.232798 \tabularnewline
23 & 0.052192 & 0.4009 & 0.344973 \tabularnewline
24 & -0.087969 & -0.6757 & 0.250934 \tabularnewline
25 & 0.01442 & 0.1108 & 0.456089 \tabularnewline
26 & 0.048958 & 0.3761 & 0.354114 \tabularnewline
27 & 0.080364 & 0.6173 & 0.26971 \tabularnewline
28 & -0.00072 & -0.0055 & 0.497802 \tabularnewline
29 & -0.03008 & -0.2311 & 0.409037 \tabularnewline
30 & -0.078663 & -0.6042 & 0.274007 \tabularnewline
31 & 0.05398 & 0.4146 & 0.339958 \tabularnewline
32 & -0.04584 & -0.3521 & 0.363007 \tabularnewline
33 & 0.023471 & 0.1803 & 0.428774 \tabularnewline
34 & -0.007196 & -0.0553 & 0.478054 \tabularnewline
35 & -0.113389 & -0.871 & 0.193655 \tabularnewline
36 & -0.080993 & -0.6221 & 0.268129 \tabularnewline
37 & -0.123677 & -0.95 & 0.172999 \tabularnewline
38 & -0.058611 & -0.4502 & 0.327107 \tabularnewline
39 & 0.021817 & 0.1676 & 0.433745 \tabularnewline
40 & -0.096592 & -0.7419 & 0.230535 \tabularnewline
41 & -0.046863 & -0.36 & 0.360082 \tabularnewline
42 & -0.028745 & -0.2208 & 0.413008 \tabularnewline
43 & -0.009543 & -0.0733 & 0.470907 \tabularnewline
44 & 0.046396 & 0.3564 & 0.361415 \tabularnewline
45 & 0.006943 & 0.0533 & 0.478823 \tabularnewline
46 & -0.017025 & -0.1308 & 0.4482 \tabularnewline
47 & -0.001517 & -0.0117 & 0.49537 \tabularnewline
48 & 0.059545 & 0.4574 & 0.324542 \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]0.155033[/C][C]1.1908[/C][C]0.119245[/C][/ROW]
[ROW][C]2[/C][C]0.088381[/C][C]0.6789[/C][C]0.249938[/C][/ROW]
[ROW][C]3[/C][C]0.129327[/C][C]0.9934[/C][C]0.162291[/C][/ROW]
[ROW][C]4[/C][C]0.026115[/C][C]0.2006[/C][C]0.420855[/C][/ROW]
[ROW][C]5[/C][C]0.024081[/C][C]0.185[/C][C]0.426944[/C][/ROW]
[ROW][C]6[/C][C]0.064735[/C][C]0.4972[/C][C]0.310435[/C][/ROW]
[ROW][C]7[/C][C]0.111734[/C][C]0.8582[/C][C]0.197116[/C][/ROW]
[ROW][C]8[/C][C]-0.051451[/C][C]-0.3952[/C][C]0.347058[/C][/ROW]
[ROW][C]9[/C][C]-0.101201[/C][C]-0.7773[/C][C]0.220033[/C][/ROW]
[ROW][C]10[/C][C]-0.055043[/C][C]-0.4228[/C][C]0.336992[/C][/ROW]
[ROW][C]11[/C][C]-0.069314[/C][C]-0.5324[/C][C]0.298221[/C][/ROW]
[ROW][C]12[/C][C]-0.098766[/C][C]-0.7586[/C][C]0.225544[/C][/ROW]
[ROW][C]13[/C][C]-0.007553[/C][C]-0.058[/C][C]0.476965[/C][/ROW]
[ROW][C]14[/C][C]-0.068156[/C][C]-0.5235[/C][C]0.301287[/C][/ROW]
[ROW][C]15[/C][C]-0.274605[/C][C]-2.1093[/C][C]0.019587[/C][/ROW]
[ROW][C]16[/C][C]0.039322[/C][C]0.302[/C][C]0.381844[/C][/ROW]
[ROW][C]17[/C][C]-0.050324[/C][C]-0.3865[/C][C]0.350243[/C][/ROW]
[ROW][C]18[/C][C]-0.052873[/C][C]-0.4061[/C][C]0.343059[/C][/ROW]
[ROW][C]19[/C][C]-0.096372[/C][C]-0.7402[/C][C]0.231043[/C][/ROW]
[ROW][C]20[/C][C]-0.053856[/C][C]-0.4137[/C][C]0.340307[/C][/ROW]
[ROW][C]21[/C][C]-0.08635[/C][C]-0.6633[/C][C]0.254872[/C][/ROW]
[ROW][C]22[/C][C]-0.095615[/C][C]-0.7344[/C][C]0.232798[/C][/ROW]
[ROW][C]23[/C][C]0.052192[/C][C]0.4009[/C][C]0.344973[/C][/ROW]
[ROW][C]24[/C][C]-0.087969[/C][C]-0.6757[/C][C]0.250934[/C][/ROW]
[ROW][C]25[/C][C]0.01442[/C][C]0.1108[/C][C]0.456089[/C][/ROW]
[ROW][C]26[/C][C]0.048958[/C][C]0.3761[/C][C]0.354114[/C][/ROW]
[ROW][C]27[/C][C]0.080364[/C][C]0.6173[/C][C]0.26971[/C][/ROW]
[ROW][C]28[/C][C]-0.00072[/C][C]-0.0055[/C][C]0.497802[/C][/ROW]
[ROW][C]29[/C][C]-0.03008[/C][C]-0.2311[/C][C]0.409037[/C][/ROW]
[ROW][C]30[/C][C]-0.078663[/C][C]-0.6042[/C][C]0.274007[/C][/ROW]
[ROW][C]31[/C][C]0.05398[/C][C]0.4146[/C][C]0.339958[/C][/ROW]
[ROW][C]32[/C][C]-0.04584[/C][C]-0.3521[/C][C]0.363007[/C][/ROW]
[ROW][C]33[/C][C]0.023471[/C][C]0.1803[/C][C]0.428774[/C][/ROW]
[ROW][C]34[/C][C]-0.007196[/C][C]-0.0553[/C][C]0.478054[/C][/ROW]
[ROW][C]35[/C][C]-0.113389[/C][C]-0.871[/C][C]0.193655[/C][/ROW]
[ROW][C]36[/C][C]-0.080993[/C][C]-0.6221[/C][C]0.268129[/C][/ROW]
[ROW][C]37[/C][C]-0.123677[/C][C]-0.95[/C][C]0.172999[/C][/ROW]
[ROW][C]38[/C][C]-0.058611[/C][C]-0.4502[/C][C]0.327107[/C][/ROW]
[ROW][C]39[/C][C]0.021817[/C][C]0.1676[/C][C]0.433745[/C][/ROW]
[ROW][C]40[/C][C]-0.096592[/C][C]-0.7419[/C][C]0.230535[/C][/ROW]
[ROW][C]41[/C][C]-0.046863[/C][C]-0.36[/C][C]0.360082[/C][/ROW]
[ROW][C]42[/C][C]-0.028745[/C][C]-0.2208[/C][C]0.413008[/C][/ROW]
[ROW][C]43[/C][C]-0.009543[/C][C]-0.0733[/C][C]0.470907[/C][/ROW]
[ROW][C]44[/C][C]0.046396[/C][C]0.3564[/C][C]0.361415[/C][/ROW]
[ROW][C]45[/C][C]0.006943[/C][C]0.0533[/C][C]0.478823[/C][/ROW]
[ROW][C]46[/C][C]-0.017025[/C][C]-0.1308[/C][C]0.4482[/C][/ROW]
[ROW][C]47[/C][C]-0.001517[/C][C]-0.0117[/C][C]0.49537[/C][/ROW]
[ROW][C]48[/C][C]0.059545[/C][C]0.4574[/C][C]0.324542[/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
10.1550331.19080.119245
20.0883810.67890.249938
30.1293270.99340.162291
40.0261150.20060.420855
50.0240810.1850.426944
60.0647350.49720.310435
70.1117340.85820.197116
8-0.051451-0.39520.347058
9-0.101201-0.77730.220033
10-0.055043-0.42280.336992
11-0.069314-0.53240.298221
12-0.098766-0.75860.225544
13-0.007553-0.0580.476965
14-0.068156-0.52350.301287
15-0.274605-2.10930.019587
160.0393220.3020.381844
17-0.050324-0.38650.350243
18-0.052873-0.40610.343059
19-0.096372-0.74020.231043
20-0.053856-0.41370.340307
21-0.08635-0.66330.254872
22-0.095615-0.73440.232798
230.0521920.40090.344973
24-0.087969-0.67570.250934
250.014420.11080.456089
260.0489580.37610.354114
270.0803640.61730.26971
28-0.00072-0.00550.497802
29-0.03008-0.23110.409037
30-0.078663-0.60420.274007
310.053980.41460.339958
32-0.04584-0.35210.363007
330.0234710.18030.428774
34-0.007196-0.05530.478054
35-0.113389-0.8710.193655
36-0.080993-0.62210.268129
37-0.123677-0.950.172999
38-0.058611-0.45020.327107
390.0218170.16760.433745
40-0.096592-0.74190.230535
41-0.046863-0.360.360082
42-0.028745-0.22080.413008
43-0.009543-0.07330.470907
440.0463960.35640.361415
450.0069430.05330.478823
46-0.017025-0.13080.4482
47-0.001517-0.01170.49537
480.0595450.45740.324542


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; 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')