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Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationFri, 28 Dec 2012 11:27:37 -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/2012/Dec/28/t1356712075lpmhtf9688v75xc.htm/, Retrieved Mon, 29 Apr 2024 15:39:10 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=204842, Retrieved Mon, 29 Apr 2024 15:39:10 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact128
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2012-12-28 16:27:37] [778963f9ed1fb67b9d5ff0854a52552f] [Current]
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Dataseries X:
1.26
1.27
1.24
1.25
1.27
1.25
1.26
1.27
1.26
1.26
1.28
1.27
1.28
1.27
1.26
1.27
1.27
1.28
1.27
1.26
1.3
1.31
1.28
1.29
1.31
1.29
1.29
1.32
1.3
1.29
1.31
1.29
1.33
1.35
1.32
1.33
1.34
1.34
1.33
1.33
1.35
1.32
1.35
1.32
1.36
1.37
1.34
1.32
1.34
1.32
1.33
1.35
1.33
1.33
1.35
1.33
1.36
1.39
1.37
1.37
1.39
1.37
1.39
1.39
1.39
1.37
1.38
1.37
1.41
1.41
1.42
1.42




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 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 & 2 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204842&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204842&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204842&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 time2 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.8739877.4160
20.8166326.92930
30.786536.67390
40.7093646.01920
50.683565.80020
60.6733755.71380
70.6141335.21111e-06
80.5747034.87653e-06
90.5452314.62648e-06
100.4817964.08825.6e-05
110.4655313.95029e-05
120.455663.86640.00012
130.3903393.31210.000725
140.3393782.87970.002619
150.289782.45890.008171
160.2487772.11090.019125
170.2357622.00050.024609
180.2092241.77530.040035
190.1685361.43010.07851
200.1591891.35080.0905
210.1297171.10070.13735
220.1108320.94040.175069
230.1097660.93140.177381
240.111530.94640.173563
250.0793330.67320.2515
260.0515370.43730.331598
270.0089620.0760.469796
28-0.030259-0.25680.399051
29-0.043064-0.36540.357937
30-0.074528-0.63240.264566
31-0.102324-0.86820.194073
32-0.134416-1.14060.128916
33-0.138627-1.17630.121677
34-0.154577-1.31160.096906
35-0.17514-1.48610.070808
36-0.181761-1.54230.063693
37-0.214797-1.82260.036257
38-0.226555-1.92240.029257
39-0.262631-2.22850.014485
40-0.293885-2.49370.00747
41-0.278809-2.36580.010344
42-0.306604-2.60160.005628
43-0.304734-2.58580.00587
44-0.306219-2.59840.005677
45-0.321541-2.72840.003996
46-0.313802-2.66270.004778
47-0.302603-2.56770.006157
48-0.332285-2.81950.003104
49-0.341212-2.89530.002506
50-0.339133-2.87760.002635
51-0.369969-3.13930.001228
52-0.381202-3.23460.00092
53-0.369794-3.13780.001233
54-0.38218-3.24290.000897
55-0.384189-3.260.000852
56-0.374563-3.17830.001092
57-0.369025-3.13130.001258
58-0.337491-2.86370.002741
59-0.321157-2.72510.004032
60-0.316667-2.6870.004474

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.873987 & 7.416 & 0 \tabularnewline
2 & 0.816632 & 6.9293 & 0 \tabularnewline
3 & 0.78653 & 6.6739 & 0 \tabularnewline
4 & 0.709364 & 6.0192 & 0 \tabularnewline
5 & 0.68356 & 5.8002 & 0 \tabularnewline
6 & 0.673375 & 5.7138 & 0 \tabularnewline
7 & 0.614133 & 5.2111 & 1e-06 \tabularnewline
8 & 0.574703 & 4.8765 & 3e-06 \tabularnewline
9 & 0.545231 & 4.6264 & 8e-06 \tabularnewline
10 & 0.481796 & 4.0882 & 5.6e-05 \tabularnewline
11 & 0.465531 & 3.9502 & 9e-05 \tabularnewline
12 & 0.45566 & 3.8664 & 0.00012 \tabularnewline
13 & 0.390339 & 3.3121 & 0.000725 \tabularnewline
14 & 0.339378 & 2.8797 & 0.002619 \tabularnewline
15 & 0.28978 & 2.4589 & 0.008171 \tabularnewline
16 & 0.248777 & 2.1109 & 0.019125 \tabularnewline
17 & 0.235762 & 2.0005 & 0.024609 \tabularnewline
18 & 0.209224 & 1.7753 & 0.040035 \tabularnewline
19 & 0.168536 & 1.4301 & 0.07851 \tabularnewline
20 & 0.159189 & 1.3508 & 0.0905 \tabularnewline
21 & 0.129717 & 1.1007 & 0.13735 \tabularnewline
22 & 0.110832 & 0.9404 & 0.175069 \tabularnewline
23 & 0.109766 & 0.9314 & 0.177381 \tabularnewline
24 & 0.11153 & 0.9464 & 0.173563 \tabularnewline
25 & 0.079333 & 0.6732 & 0.2515 \tabularnewline
26 & 0.051537 & 0.4373 & 0.331598 \tabularnewline
27 & 0.008962 & 0.076 & 0.469796 \tabularnewline
28 & -0.030259 & -0.2568 & 0.399051 \tabularnewline
29 & -0.043064 & -0.3654 & 0.357937 \tabularnewline
30 & -0.074528 & -0.6324 & 0.264566 \tabularnewline
31 & -0.102324 & -0.8682 & 0.194073 \tabularnewline
32 & -0.134416 & -1.1406 & 0.128916 \tabularnewline
33 & -0.138627 & -1.1763 & 0.121677 \tabularnewline
34 & -0.154577 & -1.3116 & 0.096906 \tabularnewline
35 & -0.17514 & -1.4861 & 0.070808 \tabularnewline
36 & -0.181761 & -1.5423 & 0.063693 \tabularnewline
37 & -0.214797 & -1.8226 & 0.036257 \tabularnewline
38 & -0.226555 & -1.9224 & 0.029257 \tabularnewline
39 & -0.262631 & -2.2285 & 0.014485 \tabularnewline
40 & -0.293885 & -2.4937 & 0.00747 \tabularnewline
41 & -0.278809 & -2.3658 & 0.010344 \tabularnewline
42 & -0.306604 & -2.6016 & 0.005628 \tabularnewline
43 & -0.304734 & -2.5858 & 0.00587 \tabularnewline
44 & -0.306219 & -2.5984 & 0.005677 \tabularnewline
45 & -0.321541 & -2.7284 & 0.003996 \tabularnewline
46 & -0.313802 & -2.6627 & 0.004778 \tabularnewline
47 & -0.302603 & -2.5677 & 0.006157 \tabularnewline
48 & -0.332285 & -2.8195 & 0.003104 \tabularnewline
49 & -0.341212 & -2.8953 & 0.002506 \tabularnewline
50 & -0.339133 & -2.8776 & 0.002635 \tabularnewline
51 & -0.369969 & -3.1393 & 0.001228 \tabularnewline
52 & -0.381202 & -3.2346 & 0.00092 \tabularnewline
53 & -0.369794 & -3.1378 & 0.001233 \tabularnewline
54 & -0.38218 & -3.2429 & 0.000897 \tabularnewline
55 & -0.384189 & -3.26 & 0.000852 \tabularnewline
56 & -0.374563 & -3.1783 & 0.001092 \tabularnewline
57 & -0.369025 & -3.1313 & 0.001258 \tabularnewline
58 & -0.337491 & -2.8637 & 0.002741 \tabularnewline
59 & -0.321157 & -2.7251 & 0.004032 \tabularnewline
60 & -0.316667 & -2.687 & 0.004474 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204842&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]0.873987[/C][C]7.416[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.816632[/C][C]6.9293[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.78653[/C][C]6.6739[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.709364[/C][C]6.0192[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.68356[/C][C]5.8002[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.673375[/C][C]5.7138[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.614133[/C][C]5.2111[/C][C]1e-06[/C][/ROW]
[ROW][C]8[/C][C]0.574703[/C][C]4.8765[/C][C]3e-06[/C][/ROW]
[ROW][C]9[/C][C]0.545231[/C][C]4.6264[/C][C]8e-06[/C][/ROW]
[ROW][C]10[/C][C]0.481796[/C][C]4.0882[/C][C]5.6e-05[/C][/ROW]
[ROW][C]11[/C][C]0.465531[/C][C]3.9502[/C][C]9e-05[/C][/ROW]
[ROW][C]12[/C][C]0.45566[/C][C]3.8664[/C][C]0.00012[/C][/ROW]
[ROW][C]13[/C][C]0.390339[/C][C]3.3121[/C][C]0.000725[/C][/ROW]
[ROW][C]14[/C][C]0.339378[/C][C]2.8797[/C][C]0.002619[/C][/ROW]
[ROW][C]15[/C][C]0.28978[/C][C]2.4589[/C][C]0.008171[/C][/ROW]
[ROW][C]16[/C][C]0.248777[/C][C]2.1109[/C][C]0.019125[/C][/ROW]
[ROW][C]17[/C][C]0.235762[/C][C]2.0005[/C][C]0.024609[/C][/ROW]
[ROW][C]18[/C][C]0.209224[/C][C]1.7753[/C][C]0.040035[/C][/ROW]
[ROW][C]19[/C][C]0.168536[/C][C]1.4301[/C][C]0.07851[/C][/ROW]
[ROW][C]20[/C][C]0.159189[/C][C]1.3508[/C][C]0.0905[/C][/ROW]
[ROW][C]21[/C][C]0.129717[/C][C]1.1007[/C][C]0.13735[/C][/ROW]
[ROW][C]22[/C][C]0.110832[/C][C]0.9404[/C][C]0.175069[/C][/ROW]
[ROW][C]23[/C][C]0.109766[/C][C]0.9314[/C][C]0.177381[/C][/ROW]
[ROW][C]24[/C][C]0.11153[/C][C]0.9464[/C][C]0.173563[/C][/ROW]
[ROW][C]25[/C][C]0.079333[/C][C]0.6732[/C][C]0.2515[/C][/ROW]
[ROW][C]26[/C][C]0.051537[/C][C]0.4373[/C][C]0.331598[/C][/ROW]
[ROW][C]27[/C][C]0.008962[/C][C]0.076[/C][C]0.469796[/C][/ROW]
[ROW][C]28[/C][C]-0.030259[/C][C]-0.2568[/C][C]0.399051[/C][/ROW]
[ROW][C]29[/C][C]-0.043064[/C][C]-0.3654[/C][C]0.357937[/C][/ROW]
[ROW][C]30[/C][C]-0.074528[/C][C]-0.6324[/C][C]0.264566[/C][/ROW]
[ROW][C]31[/C][C]-0.102324[/C][C]-0.8682[/C][C]0.194073[/C][/ROW]
[ROW][C]32[/C][C]-0.134416[/C][C]-1.1406[/C][C]0.128916[/C][/ROW]
[ROW][C]33[/C][C]-0.138627[/C][C]-1.1763[/C][C]0.121677[/C][/ROW]
[ROW][C]34[/C][C]-0.154577[/C][C]-1.3116[/C][C]0.096906[/C][/ROW]
[ROW][C]35[/C][C]-0.17514[/C][C]-1.4861[/C][C]0.070808[/C][/ROW]
[ROW][C]36[/C][C]-0.181761[/C][C]-1.5423[/C][C]0.063693[/C][/ROW]
[ROW][C]37[/C][C]-0.214797[/C][C]-1.8226[/C][C]0.036257[/C][/ROW]
[ROW][C]38[/C][C]-0.226555[/C][C]-1.9224[/C][C]0.029257[/C][/ROW]
[ROW][C]39[/C][C]-0.262631[/C][C]-2.2285[/C][C]0.014485[/C][/ROW]
[ROW][C]40[/C][C]-0.293885[/C][C]-2.4937[/C][C]0.00747[/C][/ROW]
[ROW][C]41[/C][C]-0.278809[/C][C]-2.3658[/C][C]0.010344[/C][/ROW]
[ROW][C]42[/C][C]-0.306604[/C][C]-2.6016[/C][C]0.005628[/C][/ROW]
[ROW][C]43[/C][C]-0.304734[/C][C]-2.5858[/C][C]0.00587[/C][/ROW]
[ROW][C]44[/C][C]-0.306219[/C][C]-2.5984[/C][C]0.005677[/C][/ROW]
[ROW][C]45[/C][C]-0.321541[/C][C]-2.7284[/C][C]0.003996[/C][/ROW]
[ROW][C]46[/C][C]-0.313802[/C][C]-2.6627[/C][C]0.004778[/C][/ROW]
[ROW][C]47[/C][C]-0.302603[/C][C]-2.5677[/C][C]0.006157[/C][/ROW]
[ROW][C]48[/C][C]-0.332285[/C][C]-2.8195[/C][C]0.003104[/C][/ROW]
[ROW][C]49[/C][C]-0.341212[/C][C]-2.8953[/C][C]0.002506[/C][/ROW]
[ROW][C]50[/C][C]-0.339133[/C][C]-2.8776[/C][C]0.002635[/C][/ROW]
[ROW][C]51[/C][C]-0.369969[/C][C]-3.1393[/C][C]0.001228[/C][/ROW]
[ROW][C]52[/C][C]-0.381202[/C][C]-3.2346[/C][C]0.00092[/C][/ROW]
[ROW][C]53[/C][C]-0.369794[/C][C]-3.1378[/C][C]0.001233[/C][/ROW]
[ROW][C]54[/C][C]-0.38218[/C][C]-3.2429[/C][C]0.000897[/C][/ROW]
[ROW][C]55[/C][C]-0.384189[/C][C]-3.26[/C][C]0.000852[/C][/ROW]
[ROW][C]56[/C][C]-0.374563[/C][C]-3.1783[/C][C]0.001092[/C][/ROW]
[ROW][C]57[/C][C]-0.369025[/C][C]-3.1313[/C][C]0.001258[/C][/ROW]
[ROW][C]58[/C][C]-0.337491[/C][C]-2.8637[/C][C]0.002741[/C][/ROW]
[ROW][C]59[/C][C]-0.321157[/C][C]-2.7251[/C][C]0.004032[/C][/ROW]
[ROW][C]60[/C][C]-0.316667[/C][C]-2.687[/C][C]0.004474[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204842&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204842&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
10.8739877.4160
20.8166326.92930
30.786536.67390
40.7093646.01920
50.683565.80020
60.6733755.71380
70.6141335.21111e-06
80.5747034.87653e-06
90.5452314.62648e-06
100.4817964.08825.6e-05
110.4655313.95029e-05
120.455663.86640.00012
130.3903393.31210.000725
140.3393782.87970.002619
150.289782.45890.008171
160.2487772.11090.019125
170.2357622.00050.024609
180.2092241.77530.040035
190.1685361.43010.07851
200.1591891.35080.0905
210.1297171.10070.13735
220.1108320.94040.175069
230.1097660.93140.177381
240.111530.94640.173563
250.0793330.67320.2515
260.0515370.43730.331598
270.0089620.0760.469796
28-0.030259-0.25680.399051
29-0.043064-0.36540.357937
30-0.074528-0.63240.264566
31-0.102324-0.86820.194073
32-0.134416-1.14060.128916
33-0.138627-1.17630.121677
34-0.154577-1.31160.096906
35-0.17514-1.48610.070808
36-0.181761-1.54230.063693
37-0.214797-1.82260.036257
38-0.226555-1.92240.029257
39-0.262631-2.22850.014485
40-0.293885-2.49370.00747
41-0.278809-2.36580.010344
42-0.306604-2.60160.005628
43-0.304734-2.58580.00587
44-0.306219-2.59840.005677
45-0.321541-2.72840.003996
46-0.313802-2.66270.004778
47-0.302603-2.56770.006157
48-0.332285-2.81950.003104
49-0.341212-2.89530.002506
50-0.339133-2.87760.002635
51-0.369969-3.13930.001228
52-0.381202-3.23460.00092
53-0.369794-3.13780.001233
54-0.38218-3.24290.000897
55-0.384189-3.260.000852
56-0.374563-3.17830.001092
57-0.369025-3.13130.001258
58-0.337491-2.86370.002741
59-0.321157-2.72510.004032
60-0.316667-2.6870.004474







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.8739877.4160
20.22351.89650.030956
30.1648611.39890.08307
4-0.140528-1.19240.118506
50.1227521.04160.150545
60.1175010.9970.161044
7-0.109533-0.92940.177889
8-0.050818-0.43120.333804
90.0084320.07150.47158
10-0.08278-0.70240.242344
110.0886350.75210.227224
120.0531110.45070.326794
13-0.159302-1.35170.090348
14-0.131188-1.11320.13467
15-0.064119-0.54410.294039
160.1054710.8950.186898
170.0686450.58250.281035
18-0.068928-0.58490.28023
19-0.073618-0.62470.267082
200.0929040.78830.216551
210.0184190.15630.438121
220.0600470.50950.305975
23-0.025783-0.21880.413722
240.057040.4840.314926
25-0.116236-0.98630.163645
26-0.053425-0.45330.325838
27-0.081253-0.68950.246377
28-0.059441-0.50440.307771
29-0.033118-0.2810.389753
30-0.06562-0.55680.289695
31-0.004684-0.03970.484204
32-0.089364-0.75830.22538
330.1419021.20410.116252
340.0022910.01940.49227
35-0.06548-0.55560.290097
36-0.042304-0.3590.360338
37-0.06374-0.54080.29514
380.1131840.96040.170034
39-0.101703-0.8630.195507
40-0.085925-0.72910.234154
410.1248841.05970.146418
42-0.132933-1.1280.131537
430.1486331.26120.105656
44-0.07103-0.60270.274297
45-0.042061-0.35690.361107
460.0056480.04790.480953
47-0.006561-0.05570.477879
48-0.105773-0.89750.186219
49-0.05988-0.50810.30647
50-0.023351-0.19810.421746
51-0.017691-0.15010.440549
52-0.027194-0.23070.409082
53-0.002046-0.01740.493098
540.024130.20480.419172
55-0.057897-0.49130.312363
560.0649240.55090.291705
570.0796340.67570.250693
580.0514720.43680.331799
59-0.064333-0.54590.293416
600.0107720.09140.463714

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.873987 & 7.416 & 0 \tabularnewline
2 & 0.2235 & 1.8965 & 0.030956 \tabularnewline
3 & 0.164861 & 1.3989 & 0.08307 \tabularnewline
4 & -0.140528 & -1.1924 & 0.118506 \tabularnewline
5 & 0.122752 & 1.0416 & 0.150545 \tabularnewline
6 & 0.117501 & 0.997 & 0.161044 \tabularnewline
7 & -0.109533 & -0.9294 & 0.177889 \tabularnewline
8 & -0.050818 & -0.4312 & 0.333804 \tabularnewline
9 & 0.008432 & 0.0715 & 0.47158 \tabularnewline
10 & -0.08278 & -0.7024 & 0.242344 \tabularnewline
11 & 0.088635 & 0.7521 & 0.227224 \tabularnewline
12 & 0.053111 & 0.4507 & 0.326794 \tabularnewline
13 & -0.159302 & -1.3517 & 0.090348 \tabularnewline
14 & -0.131188 & -1.1132 & 0.13467 \tabularnewline
15 & -0.064119 & -0.5441 & 0.294039 \tabularnewline
16 & 0.105471 & 0.895 & 0.186898 \tabularnewline
17 & 0.068645 & 0.5825 & 0.281035 \tabularnewline
18 & -0.068928 & -0.5849 & 0.28023 \tabularnewline
19 & -0.073618 & -0.6247 & 0.267082 \tabularnewline
20 & 0.092904 & 0.7883 & 0.216551 \tabularnewline
21 & 0.018419 & 0.1563 & 0.438121 \tabularnewline
22 & 0.060047 & 0.5095 & 0.305975 \tabularnewline
23 & -0.025783 & -0.2188 & 0.413722 \tabularnewline
24 & 0.05704 & 0.484 & 0.314926 \tabularnewline
25 & -0.116236 & -0.9863 & 0.163645 \tabularnewline
26 & -0.053425 & -0.4533 & 0.325838 \tabularnewline
27 & -0.081253 & -0.6895 & 0.246377 \tabularnewline
28 & -0.059441 & -0.5044 & 0.307771 \tabularnewline
29 & -0.033118 & -0.281 & 0.389753 \tabularnewline
30 & -0.06562 & -0.5568 & 0.289695 \tabularnewline
31 & -0.004684 & -0.0397 & 0.484204 \tabularnewline
32 & -0.089364 & -0.7583 & 0.22538 \tabularnewline
33 & 0.141902 & 1.2041 & 0.116252 \tabularnewline
34 & 0.002291 & 0.0194 & 0.49227 \tabularnewline
35 & -0.06548 & -0.5556 & 0.290097 \tabularnewline
36 & -0.042304 & -0.359 & 0.360338 \tabularnewline
37 & -0.06374 & -0.5408 & 0.29514 \tabularnewline
38 & 0.113184 & 0.9604 & 0.170034 \tabularnewline
39 & -0.101703 & -0.863 & 0.195507 \tabularnewline
40 & -0.085925 & -0.7291 & 0.234154 \tabularnewline
41 & 0.124884 & 1.0597 & 0.146418 \tabularnewline
42 & -0.132933 & -1.128 & 0.131537 \tabularnewline
43 & 0.148633 & 1.2612 & 0.105656 \tabularnewline
44 & -0.07103 & -0.6027 & 0.274297 \tabularnewline
45 & -0.042061 & -0.3569 & 0.361107 \tabularnewline
46 & 0.005648 & 0.0479 & 0.480953 \tabularnewline
47 & -0.006561 & -0.0557 & 0.477879 \tabularnewline
48 & -0.105773 & -0.8975 & 0.186219 \tabularnewline
49 & -0.05988 & -0.5081 & 0.30647 \tabularnewline
50 & -0.023351 & -0.1981 & 0.421746 \tabularnewline
51 & -0.017691 & -0.1501 & 0.440549 \tabularnewline
52 & -0.027194 & -0.2307 & 0.409082 \tabularnewline
53 & -0.002046 & -0.0174 & 0.493098 \tabularnewline
54 & 0.02413 & 0.2048 & 0.419172 \tabularnewline
55 & -0.057897 & -0.4913 & 0.312363 \tabularnewline
56 & 0.064924 & 0.5509 & 0.291705 \tabularnewline
57 & 0.079634 & 0.6757 & 0.250693 \tabularnewline
58 & 0.051472 & 0.4368 & 0.331799 \tabularnewline
59 & -0.064333 & -0.5459 & 0.293416 \tabularnewline
60 & 0.010772 & 0.0914 & 0.463714 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=204842&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]0.873987[/C][C]7.416[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.2235[/C][C]1.8965[/C][C]0.030956[/C][/ROW]
[ROW][C]3[/C][C]0.164861[/C][C]1.3989[/C][C]0.08307[/C][/ROW]
[ROW][C]4[/C][C]-0.140528[/C][C]-1.1924[/C][C]0.118506[/C][/ROW]
[ROW][C]5[/C][C]0.122752[/C][C]1.0416[/C][C]0.150545[/C][/ROW]
[ROW][C]6[/C][C]0.117501[/C][C]0.997[/C][C]0.161044[/C][/ROW]
[ROW][C]7[/C][C]-0.109533[/C][C]-0.9294[/C][C]0.177889[/C][/ROW]
[ROW][C]8[/C][C]-0.050818[/C][C]-0.4312[/C][C]0.333804[/C][/ROW]
[ROW][C]9[/C][C]0.008432[/C][C]0.0715[/C][C]0.47158[/C][/ROW]
[ROW][C]10[/C][C]-0.08278[/C][C]-0.7024[/C][C]0.242344[/C][/ROW]
[ROW][C]11[/C][C]0.088635[/C][C]0.7521[/C][C]0.227224[/C][/ROW]
[ROW][C]12[/C][C]0.053111[/C][C]0.4507[/C][C]0.326794[/C][/ROW]
[ROW][C]13[/C][C]-0.159302[/C][C]-1.3517[/C][C]0.090348[/C][/ROW]
[ROW][C]14[/C][C]-0.131188[/C][C]-1.1132[/C][C]0.13467[/C][/ROW]
[ROW][C]15[/C][C]-0.064119[/C][C]-0.5441[/C][C]0.294039[/C][/ROW]
[ROW][C]16[/C][C]0.105471[/C][C]0.895[/C][C]0.186898[/C][/ROW]
[ROW][C]17[/C][C]0.068645[/C][C]0.5825[/C][C]0.281035[/C][/ROW]
[ROW][C]18[/C][C]-0.068928[/C][C]-0.5849[/C][C]0.28023[/C][/ROW]
[ROW][C]19[/C][C]-0.073618[/C][C]-0.6247[/C][C]0.267082[/C][/ROW]
[ROW][C]20[/C][C]0.092904[/C][C]0.7883[/C][C]0.216551[/C][/ROW]
[ROW][C]21[/C][C]0.018419[/C][C]0.1563[/C][C]0.438121[/C][/ROW]
[ROW][C]22[/C][C]0.060047[/C][C]0.5095[/C][C]0.305975[/C][/ROW]
[ROW][C]23[/C][C]-0.025783[/C][C]-0.2188[/C][C]0.413722[/C][/ROW]
[ROW][C]24[/C][C]0.05704[/C][C]0.484[/C][C]0.314926[/C][/ROW]
[ROW][C]25[/C][C]-0.116236[/C][C]-0.9863[/C][C]0.163645[/C][/ROW]
[ROW][C]26[/C][C]-0.053425[/C][C]-0.4533[/C][C]0.325838[/C][/ROW]
[ROW][C]27[/C][C]-0.081253[/C][C]-0.6895[/C][C]0.246377[/C][/ROW]
[ROW][C]28[/C][C]-0.059441[/C][C]-0.5044[/C][C]0.307771[/C][/ROW]
[ROW][C]29[/C][C]-0.033118[/C][C]-0.281[/C][C]0.389753[/C][/ROW]
[ROW][C]30[/C][C]-0.06562[/C][C]-0.5568[/C][C]0.289695[/C][/ROW]
[ROW][C]31[/C][C]-0.004684[/C][C]-0.0397[/C][C]0.484204[/C][/ROW]
[ROW][C]32[/C][C]-0.089364[/C][C]-0.7583[/C][C]0.22538[/C][/ROW]
[ROW][C]33[/C][C]0.141902[/C][C]1.2041[/C][C]0.116252[/C][/ROW]
[ROW][C]34[/C][C]0.002291[/C][C]0.0194[/C][C]0.49227[/C][/ROW]
[ROW][C]35[/C][C]-0.06548[/C][C]-0.5556[/C][C]0.290097[/C][/ROW]
[ROW][C]36[/C][C]-0.042304[/C][C]-0.359[/C][C]0.360338[/C][/ROW]
[ROW][C]37[/C][C]-0.06374[/C][C]-0.5408[/C][C]0.29514[/C][/ROW]
[ROW][C]38[/C][C]0.113184[/C][C]0.9604[/C][C]0.170034[/C][/ROW]
[ROW][C]39[/C][C]-0.101703[/C][C]-0.863[/C][C]0.195507[/C][/ROW]
[ROW][C]40[/C][C]-0.085925[/C][C]-0.7291[/C][C]0.234154[/C][/ROW]
[ROW][C]41[/C][C]0.124884[/C][C]1.0597[/C][C]0.146418[/C][/ROW]
[ROW][C]42[/C][C]-0.132933[/C][C]-1.128[/C][C]0.131537[/C][/ROW]
[ROW][C]43[/C][C]0.148633[/C][C]1.2612[/C][C]0.105656[/C][/ROW]
[ROW][C]44[/C][C]-0.07103[/C][C]-0.6027[/C][C]0.274297[/C][/ROW]
[ROW][C]45[/C][C]-0.042061[/C][C]-0.3569[/C][C]0.361107[/C][/ROW]
[ROW][C]46[/C][C]0.005648[/C][C]0.0479[/C][C]0.480953[/C][/ROW]
[ROW][C]47[/C][C]-0.006561[/C][C]-0.0557[/C][C]0.477879[/C][/ROW]
[ROW][C]48[/C][C]-0.105773[/C][C]-0.8975[/C][C]0.186219[/C][/ROW]
[ROW][C]49[/C][C]-0.05988[/C][C]-0.5081[/C][C]0.30647[/C][/ROW]
[ROW][C]50[/C][C]-0.023351[/C][C]-0.1981[/C][C]0.421746[/C][/ROW]
[ROW][C]51[/C][C]-0.017691[/C][C]-0.1501[/C][C]0.440549[/C][/ROW]
[ROW][C]52[/C][C]-0.027194[/C][C]-0.2307[/C][C]0.409082[/C][/ROW]
[ROW][C]53[/C][C]-0.002046[/C][C]-0.0174[/C][C]0.493098[/C][/ROW]
[ROW][C]54[/C][C]0.02413[/C][C]0.2048[/C][C]0.419172[/C][/ROW]
[ROW][C]55[/C][C]-0.057897[/C][C]-0.4913[/C][C]0.312363[/C][/ROW]
[ROW][C]56[/C][C]0.064924[/C][C]0.5509[/C][C]0.291705[/C][/ROW]
[ROW][C]57[/C][C]0.079634[/C][C]0.6757[/C][C]0.250693[/C][/ROW]
[ROW][C]58[/C][C]0.051472[/C][C]0.4368[/C][C]0.331799[/C][/ROW]
[ROW][C]59[/C][C]-0.064333[/C][C]-0.5459[/C][C]0.293416[/C][/ROW]
[ROW][C]60[/C][C]0.010772[/C][C]0.0914[/C][C]0.463714[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=204842&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=204842&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
10.8739877.4160
20.22351.89650.030956
30.1648611.39890.08307
4-0.140528-1.19240.118506
50.1227521.04160.150545
60.1175010.9970.161044
7-0.109533-0.92940.177889
8-0.050818-0.43120.333804
90.0084320.07150.47158
10-0.08278-0.70240.242344
110.0886350.75210.227224
120.0531110.45070.326794
13-0.159302-1.35170.090348
14-0.131188-1.11320.13467
15-0.064119-0.54410.294039
160.1054710.8950.186898
170.0686450.58250.281035
18-0.068928-0.58490.28023
19-0.073618-0.62470.267082
200.0929040.78830.216551
210.0184190.15630.438121
220.0600470.50950.305975
23-0.025783-0.21880.413722
240.057040.4840.314926
25-0.116236-0.98630.163645
26-0.053425-0.45330.325838
27-0.081253-0.68950.246377
28-0.059441-0.50440.307771
29-0.033118-0.2810.389753
30-0.06562-0.55680.289695
31-0.004684-0.03970.484204
32-0.089364-0.75830.22538
330.1419021.20410.116252
340.0022910.01940.49227
35-0.06548-0.55560.290097
36-0.042304-0.3590.360338
37-0.06374-0.54080.29514
380.1131840.96040.170034
39-0.101703-0.8630.195507
40-0.085925-0.72910.234154
410.1248841.05970.146418
42-0.132933-1.1280.131537
430.1486331.26120.105656
44-0.07103-0.60270.274297
45-0.042061-0.35690.361107
460.0056480.04790.480953
47-0.006561-0.05570.477879
48-0.105773-0.89750.186219
49-0.05988-0.50810.30647
50-0.023351-0.19810.421746
51-0.017691-0.15010.440549
52-0.027194-0.23070.409082
53-0.002046-0.01740.493098
540.024130.20480.419172
55-0.057897-0.49130.312363
560.0649240.55090.291705
570.0796340.67570.250693
580.0514720.43680.331799
59-0.064333-0.54590.293416
600.0107720.09140.463714



Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ; par8 = ;
R code (references can be found in the software module):
par8 <- ''
par7 <- '0.95'
par6 <- 'White Noise'
par5 <- '12'
par4 <- '0'
par3 <- '0'
par2 <- '1'
par1 <- '60'
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')