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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationSun, 12 Jan 2014 04:45:26 -0500
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/Jan/12/t1389519943muihkvg8ruufr53.htm/, Retrieved Thu, 01 Oct 2026 11:12:53 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=232959, Retrieved Thu, 01 Oct 2026 11:12:53 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact451
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2014-01-12 09:45:26] [655b7e86b856b1a975cbf3a4c6f4d54e] [Current]
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Dataseries X:
5731
5040
6102
4904
5369
5578
4619
4731
5011
5227
4146
4625
4736
4219
5116
4205
4121
5103
4300
4578
3809
5657
4249
3830
4736
4840
4413
4571
4106
4801
3956
3829
4453
4027
4121
4798
3233
3554
3952
3951
3685
4312
3867
4140
4114
3818
3377
3453
3502
4017
5410
5184
5529
6434
4962
2980
2937
2969
2731
3163
3145
3173
3723
3224
4114
3446
2955
3879
4278
4177
3698
4449
4162
3961
5246
5170
3682
3495
3770
3291
3580
3898
3477
3054




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232959&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232959&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232959&T=0

As an alternative you can also use a 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'Gertrude Mary Cox' @ cox.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.5756655.27611e-06
20.4157273.81020.000132
30.3627233.32440.000657
40.1705241.56290.060921
50.0328870.30140.38192
60.0306660.28110.38968
70.0553470.50730.306649
80.0220190.20180.420278
90.0655370.60070.274844
100.1323911.21340.114193
110.0718370.65840.256042
120.0779240.71420.238545
130.0160480.14710.441708
140.026740.24510.403499
150.0353310.32380.373442
160.0553480.50730.306645
170.1209361.10840.135426
180.1594071.4610.073875
190.1526811.39930.082696
200.1754261.60780.055815
210.279042.55740.00617
220.2005461.8380.034796
230.149131.36680.087667
240.1842031.68830.047536
250.0994460.91140.182338
26-0.000324-0.0030.498818
27-0.002627-0.02410.490425
28-0.072327-0.66290.254608
29-0.070752-0.64840.259232
30-0.090744-0.83170.203973
31-0.106918-0.97990.16497
32-0.03777-0.34620.365042
33-0.029195-0.26760.394839
34-0.089188-0.81740.208001
35-0.053169-0.48730.313655
36-0.047258-0.43310.333018
37-0.089674-0.82190.206737
38-0.11755-1.07740.142202
39-0.046244-0.42380.336387
40-0.047049-0.43120.333711
41-0.06303-0.57770.282514
42-0.055901-0.51230.30488
43-0.02094-0.19190.424135
44-0.078084-0.71570.238095
45-0.023785-0.2180.413981
46-0.015501-0.14210.443683
47-0.00935-0.08570.465955
480.0182890.16760.433642

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.575665 & 5.2761 & 1e-06 \tabularnewline
2 & 0.415727 & 3.8102 & 0.000132 \tabularnewline
3 & 0.362723 & 3.3244 & 0.000657 \tabularnewline
4 & 0.170524 & 1.5629 & 0.060921 \tabularnewline
5 & 0.032887 & 0.3014 & 0.38192 \tabularnewline
6 & 0.030666 & 0.2811 & 0.38968 \tabularnewline
7 & 0.055347 & 0.5073 & 0.306649 \tabularnewline
8 & 0.022019 & 0.2018 & 0.420278 \tabularnewline
9 & 0.065537 & 0.6007 & 0.274844 \tabularnewline
10 & 0.132391 & 1.2134 & 0.114193 \tabularnewline
11 & 0.071837 & 0.6584 & 0.256042 \tabularnewline
12 & 0.077924 & 0.7142 & 0.238545 \tabularnewline
13 & 0.016048 & 0.1471 & 0.441708 \tabularnewline
14 & 0.02674 & 0.2451 & 0.403499 \tabularnewline
15 & 0.035331 & 0.3238 & 0.373442 \tabularnewline
16 & 0.055348 & 0.5073 & 0.306645 \tabularnewline
17 & 0.120936 & 1.1084 & 0.135426 \tabularnewline
18 & 0.159407 & 1.461 & 0.073875 \tabularnewline
19 & 0.152681 & 1.3993 & 0.082696 \tabularnewline
20 & 0.175426 & 1.6078 & 0.055815 \tabularnewline
21 & 0.27904 & 2.5574 & 0.00617 \tabularnewline
22 & 0.200546 & 1.838 & 0.034796 \tabularnewline
23 & 0.14913 & 1.3668 & 0.087667 \tabularnewline
24 & 0.184203 & 1.6883 & 0.047536 \tabularnewline
25 & 0.099446 & 0.9114 & 0.182338 \tabularnewline
26 & -0.000324 & -0.003 & 0.498818 \tabularnewline
27 & -0.002627 & -0.0241 & 0.490425 \tabularnewline
28 & -0.072327 & -0.6629 & 0.254608 \tabularnewline
29 & -0.070752 & -0.6484 & 0.259232 \tabularnewline
30 & -0.090744 & -0.8317 & 0.203973 \tabularnewline
31 & -0.106918 & -0.9799 & 0.16497 \tabularnewline
32 & -0.03777 & -0.3462 & 0.365042 \tabularnewline
33 & -0.029195 & -0.2676 & 0.394839 \tabularnewline
34 & -0.089188 & -0.8174 & 0.208001 \tabularnewline
35 & -0.053169 & -0.4873 & 0.313655 \tabularnewline
36 & -0.047258 & -0.4331 & 0.333018 \tabularnewline
37 & -0.089674 & -0.8219 & 0.206737 \tabularnewline
38 & -0.11755 & -1.0774 & 0.142202 \tabularnewline
39 & -0.046244 & -0.4238 & 0.336387 \tabularnewline
40 & -0.047049 & -0.4312 & 0.333711 \tabularnewline
41 & -0.06303 & -0.5777 & 0.282514 \tabularnewline
42 & -0.055901 & -0.5123 & 0.30488 \tabularnewline
43 & -0.02094 & -0.1919 & 0.424135 \tabularnewline
44 & -0.078084 & -0.7157 & 0.238095 \tabularnewline
45 & -0.023785 & -0.218 & 0.413981 \tabularnewline
46 & -0.015501 & -0.1421 & 0.443683 \tabularnewline
47 & -0.00935 & -0.0857 & 0.465955 \tabularnewline
48 & 0.018289 & 0.1676 & 0.433642 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232959&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]0.575665[/C][C]5.2761[/C][C]1e-06[/C][/ROW]
[ROW][C]2[/C][C]0.415727[/C][C]3.8102[/C][C]0.000132[/C][/ROW]
[ROW][C]3[/C][C]0.362723[/C][C]3.3244[/C][C]0.000657[/C][/ROW]
[ROW][C]4[/C][C]0.170524[/C][C]1.5629[/C][C]0.060921[/C][/ROW]
[ROW][C]5[/C][C]0.032887[/C][C]0.3014[/C][C]0.38192[/C][/ROW]
[ROW][C]6[/C][C]0.030666[/C][C]0.2811[/C][C]0.38968[/C][/ROW]
[ROW][C]7[/C][C]0.055347[/C][C]0.5073[/C][C]0.306649[/C][/ROW]
[ROW][C]8[/C][C]0.022019[/C][C]0.2018[/C][C]0.420278[/C][/ROW]
[ROW][C]9[/C][C]0.065537[/C][C]0.6007[/C][C]0.274844[/C][/ROW]
[ROW][C]10[/C][C]0.132391[/C][C]1.2134[/C][C]0.114193[/C][/ROW]
[ROW][C]11[/C][C]0.071837[/C][C]0.6584[/C][C]0.256042[/C][/ROW]
[ROW][C]12[/C][C]0.077924[/C][C]0.7142[/C][C]0.238545[/C][/ROW]
[ROW][C]13[/C][C]0.016048[/C][C]0.1471[/C][C]0.441708[/C][/ROW]
[ROW][C]14[/C][C]0.02674[/C][C]0.2451[/C][C]0.403499[/C][/ROW]
[ROW][C]15[/C][C]0.035331[/C][C]0.3238[/C][C]0.373442[/C][/ROW]
[ROW][C]16[/C][C]0.055348[/C][C]0.5073[/C][C]0.306645[/C][/ROW]
[ROW][C]17[/C][C]0.120936[/C][C]1.1084[/C][C]0.135426[/C][/ROW]
[ROW][C]18[/C][C]0.159407[/C][C]1.461[/C][C]0.073875[/C][/ROW]
[ROW][C]19[/C][C]0.152681[/C][C]1.3993[/C][C]0.082696[/C][/ROW]
[ROW][C]20[/C][C]0.175426[/C][C]1.6078[/C][C]0.055815[/C][/ROW]
[ROW][C]21[/C][C]0.27904[/C][C]2.5574[/C][C]0.00617[/C][/ROW]
[ROW][C]22[/C][C]0.200546[/C][C]1.838[/C][C]0.034796[/C][/ROW]
[ROW][C]23[/C][C]0.14913[/C][C]1.3668[/C][C]0.087667[/C][/ROW]
[ROW][C]24[/C][C]0.184203[/C][C]1.6883[/C][C]0.047536[/C][/ROW]
[ROW][C]25[/C][C]0.099446[/C][C]0.9114[/C][C]0.182338[/C][/ROW]
[ROW][C]26[/C][C]-0.000324[/C][C]-0.003[/C][C]0.498818[/C][/ROW]
[ROW][C]27[/C][C]-0.002627[/C][C]-0.0241[/C][C]0.490425[/C][/ROW]
[ROW][C]28[/C][C]-0.072327[/C][C]-0.6629[/C][C]0.254608[/C][/ROW]
[ROW][C]29[/C][C]-0.070752[/C][C]-0.6484[/C][C]0.259232[/C][/ROW]
[ROW][C]30[/C][C]-0.090744[/C][C]-0.8317[/C][C]0.203973[/C][/ROW]
[ROW][C]31[/C][C]-0.106918[/C][C]-0.9799[/C][C]0.16497[/C][/ROW]
[ROW][C]32[/C][C]-0.03777[/C][C]-0.3462[/C][C]0.365042[/C][/ROW]
[ROW][C]33[/C][C]-0.029195[/C][C]-0.2676[/C][C]0.394839[/C][/ROW]
[ROW][C]34[/C][C]-0.089188[/C][C]-0.8174[/C][C]0.208001[/C][/ROW]
[ROW][C]35[/C][C]-0.053169[/C][C]-0.4873[/C][C]0.313655[/C][/ROW]
[ROW][C]36[/C][C]-0.047258[/C][C]-0.4331[/C][C]0.333018[/C][/ROW]
[ROW][C]37[/C][C]-0.089674[/C][C]-0.8219[/C][C]0.206737[/C][/ROW]
[ROW][C]38[/C][C]-0.11755[/C][C]-1.0774[/C][C]0.142202[/C][/ROW]
[ROW][C]39[/C][C]-0.046244[/C][C]-0.4238[/C][C]0.336387[/C][/ROW]
[ROW][C]40[/C][C]-0.047049[/C][C]-0.4312[/C][C]0.333711[/C][/ROW]
[ROW][C]41[/C][C]-0.06303[/C][C]-0.5777[/C][C]0.282514[/C][/ROW]
[ROW][C]42[/C][C]-0.055901[/C][C]-0.5123[/C][C]0.30488[/C][/ROW]
[ROW][C]43[/C][C]-0.02094[/C][C]-0.1919[/C][C]0.424135[/C][/ROW]
[ROW][C]44[/C][C]-0.078084[/C][C]-0.7157[/C][C]0.238095[/C][/ROW]
[ROW][C]45[/C][C]-0.023785[/C][C]-0.218[/C][C]0.413981[/C][/ROW]
[ROW][C]46[/C][C]-0.015501[/C][C]-0.1421[/C][C]0.443683[/C][/ROW]
[ROW][C]47[/C][C]-0.00935[/C][C]-0.0857[/C][C]0.465955[/C][/ROW]
[ROW][C]48[/C][C]0.018289[/C][C]0.1676[/C][C]0.433642[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232959&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232959&T=1

As an alternative you can also use a QR Code:  

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

Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.5756655.27611e-06
20.4157273.81020.000132
30.3627233.32440.000657
40.1705241.56290.060921
50.0328870.30140.38192
60.0306660.28110.38968
70.0553470.50730.306649
80.0220190.20180.420278
90.0655370.60070.274844
100.1323911.21340.114193
110.0718370.65840.256042
120.0779240.71420.238545
130.0160480.14710.441708
140.026740.24510.403499
150.0353310.32380.373442
160.0553480.50730.306645
170.1209361.10840.135426
180.1594071.4610.073875
190.1526811.39930.082696
200.1754261.60780.055815
210.279042.55740.00617
220.2005461.8380.034796
230.149131.36680.087667
240.1842031.68830.047536
250.0994460.91140.182338
26-0.000324-0.0030.498818
27-0.002627-0.02410.490425
28-0.072327-0.66290.254608
29-0.070752-0.64840.259232
30-0.090744-0.83170.203973
31-0.106918-0.97990.16497
32-0.03777-0.34620.365042
33-0.029195-0.26760.394839
34-0.089188-0.81740.208001
35-0.053169-0.48730.313655
36-0.047258-0.43310.333018
37-0.089674-0.82190.206737
38-0.11755-1.07740.142202
39-0.046244-0.42380.336387
40-0.047049-0.43120.333711
41-0.06303-0.57770.282514
42-0.055901-0.51230.30488
43-0.02094-0.19190.424135
44-0.078084-0.71570.238095
45-0.023785-0.2180.413981
46-0.015501-0.14210.443683
47-0.00935-0.08570.465955
480.0182890.16760.433642







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.5756655.27611e-06
20.1261371.15610.125465
30.1230711.1280.131273
4-0.16028-1.4690.072785
5-0.114077-1.04550.149388
60.048370.44330.329337
70.1142931.04750.148935
8-0.002738-0.02510.490019
90.0452320.41460.339761
100.0683680.62660.266308
11-0.069196-0.63420.26384
120.0250490.22960.409491
13-0.110312-1.0110.157455
140.0843060.77270.220941
150.0501210.45940.323579
160.0644660.59080.278108
170.0791410.72530.235129
180.0501710.45980.323415
19-0.02134-0.19560.422705
200.0442050.40520.343199
210.2092851.91810.029246
22-0.058974-0.54050.295139
230.0005880.00540.497855
240.0221820.20330.419696
25-0.035162-0.32230.374027
26-0.086765-0.79520.214365
27-0.019964-0.1830.427632
28-0.113364-1.0390.150894
290.0840710.77050.221577
30-0.068527-0.62810.265834
31-0.102635-0.94070.174788
320.1045790.95850.170285
33-0.044656-0.40930.341689
34-0.110263-1.01060.15756
350.0173530.1590.437009
36-0.02296-0.21040.416921
37-0.041748-0.38260.35148
38-0.071153-0.65210.258048
39-0.003501-0.03210.487239
400.0330240.30270.381447
41-0.049166-0.45060.326714
42-0.157577-1.44420.076199
430.0845720.77510.220223
44-0.061485-0.56350.287291
450.0759390.6960.244177
460.0044880.04110.483644
470.0778960.71390.238625
480.0467150.42810.334819

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.575665 & 5.2761 & 1e-06 \tabularnewline
2 & 0.126137 & 1.1561 & 0.125465 \tabularnewline
3 & 0.123071 & 1.128 & 0.131273 \tabularnewline
4 & -0.16028 & -1.469 & 0.072785 \tabularnewline
5 & -0.114077 & -1.0455 & 0.149388 \tabularnewline
6 & 0.04837 & 0.4433 & 0.329337 \tabularnewline
7 & 0.114293 & 1.0475 & 0.148935 \tabularnewline
8 & -0.002738 & -0.0251 & 0.490019 \tabularnewline
9 & 0.045232 & 0.4146 & 0.339761 \tabularnewline
10 & 0.068368 & 0.6266 & 0.266308 \tabularnewline
11 & -0.069196 & -0.6342 & 0.26384 \tabularnewline
12 & 0.025049 & 0.2296 & 0.409491 \tabularnewline
13 & -0.110312 & -1.011 & 0.157455 \tabularnewline
14 & 0.084306 & 0.7727 & 0.220941 \tabularnewline
15 & 0.050121 & 0.4594 & 0.323579 \tabularnewline
16 & 0.064466 & 0.5908 & 0.278108 \tabularnewline
17 & 0.079141 & 0.7253 & 0.235129 \tabularnewline
18 & 0.050171 & 0.4598 & 0.323415 \tabularnewline
19 & -0.02134 & -0.1956 & 0.422705 \tabularnewline
20 & 0.044205 & 0.4052 & 0.343199 \tabularnewline
21 & 0.209285 & 1.9181 & 0.029246 \tabularnewline
22 & -0.058974 & -0.5405 & 0.295139 \tabularnewline
23 & 0.000588 & 0.0054 & 0.497855 \tabularnewline
24 & 0.022182 & 0.2033 & 0.419696 \tabularnewline
25 & -0.035162 & -0.3223 & 0.374027 \tabularnewline
26 & -0.086765 & -0.7952 & 0.214365 \tabularnewline
27 & -0.019964 & -0.183 & 0.427632 \tabularnewline
28 & -0.113364 & -1.039 & 0.150894 \tabularnewline
29 & 0.084071 & 0.7705 & 0.221577 \tabularnewline
30 & -0.068527 & -0.6281 & 0.265834 \tabularnewline
31 & -0.102635 & -0.9407 & 0.174788 \tabularnewline
32 & 0.104579 & 0.9585 & 0.170285 \tabularnewline
33 & -0.044656 & -0.4093 & 0.341689 \tabularnewline
34 & -0.110263 & -1.0106 & 0.15756 \tabularnewline
35 & 0.017353 & 0.159 & 0.437009 \tabularnewline
36 & -0.02296 & -0.2104 & 0.416921 \tabularnewline
37 & -0.041748 & -0.3826 & 0.35148 \tabularnewline
38 & -0.071153 & -0.6521 & 0.258048 \tabularnewline
39 & -0.003501 & -0.0321 & 0.487239 \tabularnewline
40 & 0.033024 & 0.3027 & 0.381447 \tabularnewline
41 & -0.049166 & -0.4506 & 0.326714 \tabularnewline
42 & -0.157577 & -1.4442 & 0.076199 \tabularnewline
43 & 0.084572 & 0.7751 & 0.220223 \tabularnewline
44 & -0.061485 & -0.5635 & 0.287291 \tabularnewline
45 & 0.075939 & 0.696 & 0.244177 \tabularnewline
46 & 0.004488 & 0.0411 & 0.483644 \tabularnewline
47 & 0.077896 & 0.7139 & 0.238625 \tabularnewline
48 & 0.046715 & 0.4281 & 0.334819 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=232959&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]0.575665[/C][C]5.2761[/C][C]1e-06[/C][/ROW]
[ROW][C]2[/C][C]0.126137[/C][C]1.1561[/C][C]0.125465[/C][/ROW]
[ROW][C]3[/C][C]0.123071[/C][C]1.128[/C][C]0.131273[/C][/ROW]
[ROW][C]4[/C][C]-0.16028[/C][C]-1.469[/C][C]0.072785[/C][/ROW]
[ROW][C]5[/C][C]-0.114077[/C][C]-1.0455[/C][C]0.149388[/C][/ROW]
[ROW][C]6[/C][C]0.04837[/C][C]0.4433[/C][C]0.329337[/C][/ROW]
[ROW][C]7[/C][C]0.114293[/C][C]1.0475[/C][C]0.148935[/C][/ROW]
[ROW][C]8[/C][C]-0.002738[/C][C]-0.0251[/C][C]0.490019[/C][/ROW]
[ROW][C]9[/C][C]0.045232[/C][C]0.4146[/C][C]0.339761[/C][/ROW]
[ROW][C]10[/C][C]0.068368[/C][C]0.6266[/C][C]0.266308[/C][/ROW]
[ROW][C]11[/C][C]-0.069196[/C][C]-0.6342[/C][C]0.26384[/C][/ROW]
[ROW][C]12[/C][C]0.025049[/C][C]0.2296[/C][C]0.409491[/C][/ROW]
[ROW][C]13[/C][C]-0.110312[/C][C]-1.011[/C][C]0.157455[/C][/ROW]
[ROW][C]14[/C][C]0.084306[/C][C]0.7727[/C][C]0.220941[/C][/ROW]
[ROW][C]15[/C][C]0.050121[/C][C]0.4594[/C][C]0.323579[/C][/ROW]
[ROW][C]16[/C][C]0.064466[/C][C]0.5908[/C][C]0.278108[/C][/ROW]
[ROW][C]17[/C][C]0.079141[/C][C]0.7253[/C][C]0.235129[/C][/ROW]
[ROW][C]18[/C][C]0.050171[/C][C]0.4598[/C][C]0.323415[/C][/ROW]
[ROW][C]19[/C][C]-0.02134[/C][C]-0.1956[/C][C]0.422705[/C][/ROW]
[ROW][C]20[/C][C]0.044205[/C][C]0.4052[/C][C]0.343199[/C][/ROW]
[ROW][C]21[/C][C]0.209285[/C][C]1.9181[/C][C]0.029246[/C][/ROW]
[ROW][C]22[/C][C]-0.058974[/C][C]-0.5405[/C][C]0.295139[/C][/ROW]
[ROW][C]23[/C][C]0.000588[/C][C]0.0054[/C][C]0.497855[/C][/ROW]
[ROW][C]24[/C][C]0.022182[/C][C]0.2033[/C][C]0.419696[/C][/ROW]
[ROW][C]25[/C][C]-0.035162[/C][C]-0.3223[/C][C]0.374027[/C][/ROW]
[ROW][C]26[/C][C]-0.086765[/C][C]-0.7952[/C][C]0.214365[/C][/ROW]
[ROW][C]27[/C][C]-0.019964[/C][C]-0.183[/C][C]0.427632[/C][/ROW]
[ROW][C]28[/C][C]-0.113364[/C][C]-1.039[/C][C]0.150894[/C][/ROW]
[ROW][C]29[/C][C]0.084071[/C][C]0.7705[/C][C]0.221577[/C][/ROW]
[ROW][C]30[/C][C]-0.068527[/C][C]-0.6281[/C][C]0.265834[/C][/ROW]
[ROW][C]31[/C][C]-0.102635[/C][C]-0.9407[/C][C]0.174788[/C][/ROW]
[ROW][C]32[/C][C]0.104579[/C][C]0.9585[/C][C]0.170285[/C][/ROW]
[ROW][C]33[/C][C]-0.044656[/C][C]-0.4093[/C][C]0.341689[/C][/ROW]
[ROW][C]34[/C][C]-0.110263[/C][C]-1.0106[/C][C]0.15756[/C][/ROW]
[ROW][C]35[/C][C]0.017353[/C][C]0.159[/C][C]0.437009[/C][/ROW]
[ROW][C]36[/C][C]-0.02296[/C][C]-0.2104[/C][C]0.416921[/C][/ROW]
[ROW][C]37[/C][C]-0.041748[/C][C]-0.3826[/C][C]0.35148[/C][/ROW]
[ROW][C]38[/C][C]-0.071153[/C][C]-0.6521[/C][C]0.258048[/C][/ROW]
[ROW][C]39[/C][C]-0.003501[/C][C]-0.0321[/C][C]0.487239[/C][/ROW]
[ROW][C]40[/C][C]0.033024[/C][C]0.3027[/C][C]0.381447[/C][/ROW]
[ROW][C]41[/C][C]-0.049166[/C][C]-0.4506[/C][C]0.326714[/C][/ROW]
[ROW][C]42[/C][C]-0.157577[/C][C]-1.4442[/C][C]0.076199[/C][/ROW]
[ROW][C]43[/C][C]0.084572[/C][C]0.7751[/C][C]0.220223[/C][/ROW]
[ROW][C]44[/C][C]-0.061485[/C][C]-0.5635[/C][C]0.287291[/C][/ROW]
[ROW][C]45[/C][C]0.075939[/C][C]0.696[/C][C]0.244177[/C][/ROW]
[ROW][C]46[/C][C]0.004488[/C][C]0.0411[/C][C]0.483644[/C][/ROW]
[ROW][C]47[/C][C]0.077896[/C][C]0.7139[/C][C]0.238625[/C][/ROW]
[ROW][C]48[/C][C]0.046715[/C][C]0.4281[/C][C]0.334819[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=232959&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=232959&T=2

As an alternative you can also use a QR Code:  

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

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.5756655.27611e-06
20.1261371.15610.125465
30.1230711.1280.131273
4-0.16028-1.4690.072785
5-0.114077-1.04550.149388
60.048370.44330.329337
70.1142931.04750.148935
8-0.002738-0.02510.490019
90.0452320.41460.339761
100.0683680.62660.266308
11-0.069196-0.63420.26384
120.0250490.22960.409491
13-0.110312-1.0110.157455
140.0843060.77270.220941
150.0501210.45940.323579
160.0644660.59080.278108
170.0791410.72530.235129
180.0501710.45980.323415
19-0.02134-0.19560.422705
200.0442050.40520.343199
210.2092851.91810.029246
22-0.058974-0.54050.295139
230.0005880.00540.497855
240.0221820.20330.419696
25-0.035162-0.32230.374027
26-0.086765-0.79520.214365
27-0.019964-0.1830.427632
28-0.113364-1.0390.150894
290.0840710.77050.221577
30-0.068527-0.62810.265834
31-0.102635-0.94070.174788
320.1045790.95850.170285
33-0.044656-0.40930.341689
34-0.110263-1.01060.15756
350.0173530.1590.437009
36-0.02296-0.21040.416921
37-0.041748-0.38260.35148
38-0.071153-0.65210.258048
39-0.003501-0.03210.487239
400.0330240.30270.381447
41-0.049166-0.45060.326714
42-0.157577-1.44420.076199
430.0845720.77510.220223
44-0.061485-0.56350.287291
450.0759390.6960.244177
460.0044880.04110.483644
470.0778960.71390.238625
480.0467150.42810.334819



Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 48 ; 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')