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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationWed, 22 Dec 2010 14:16:49 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/22/t1293027485k84pi113kafprd8.htm/, Retrieved Mon, 06 May 2024 04:35:58 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=114239, Retrieved Mon, 06 May 2024 04:35:58 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact127
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [Statistiek Paper 7] [2010-12-22 14:16:49] [97dee3ad7274585c4a7ecb4c981cc7fb] [Current]
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Dataseries X:
5732
6938
6660
6695
6484
7716
5927
4768
7081
6947
7723
7319
6285
6655
7331
6468
7653
7330
5907
5257
7029
8885
9477
6822
8595
8738
11380
9831
10560
10336
8872
7598
9713
10858
10430
7516
8344
8623
9238
10350
9415
9550
8301
6405
10251
10082
8683
7829
6712
7354
8402
8211
8377
9133
8301
5932
9080
9459
9647
8646
7503
10000
10441
6435
8102
9983
8662
6575
9088
9336
9089




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time5 seconds
R Server'George Udny Yule' @ 72.249.76.132

\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 & 5 seconds \tabularnewline
R Server & 'George Udny Yule' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114239&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]5 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114239&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114239&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 time5 seconds
R Server'George Udny Yule' @ 72.249.76.132







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.6355284.88164e-06
20.580584.45951.9e-05
30.5631364.32553e-05
40.4260033.27220.000893
50.4186383.21560.001057
60.2977432.2870.0129
70.1946251.49490.07013
80.1220730.93770.176122
9-0.059965-0.46060.323389
10-0.059824-0.45950.323775
11-0.098194-0.75420.226853
12-0.13963-1.07250.143927
13-0.143886-1.10520.136777
14-0.167303-1.28510.101894
15-0.153248-1.17710.121938
16-0.284913-2.18850.016304
17-0.209041-1.60570.056842
18-0.188568-1.44840.076397
19-0.294686-2.26350.013648
20-0.255829-1.96510.027061
21-0.273994-2.10460.019798
22-0.287363-2.20730.015598
23-0.213082-1.63670.053507
24-0.32032-2.46040.008412
25-0.176896-1.35880.089696
26-0.145883-1.12050.133511
27-0.136448-1.04810.149438
28-0.024943-0.19160.42436
29-0.037616-0.28890.386821
30-0.035664-0.27390.392543
310.0086160.06620.473728
320.0599270.46030.323492
330.0767120.58920.278975
340.0588520.45210.326445
350.0395130.30350.381285
360.0227260.17460.43101
37-0.020005-0.15370.439201
38-0.030965-0.23780.406413
39-0.030211-0.23210.40865
400.0223760.17190.432062
41-0.037123-0.28510.388264
42-0.076653-0.58880.279127
43-0.038823-0.29820.383296
44-0.051249-0.39360.34763
45-0.012714-0.09770.461269
460.0022190.0170.493229
47-0.020131-0.15460.43882
48-0.019397-0.1490.441036
49-0.015461-0.11880.452934
500.0129340.09930.460599
510.0074070.05690.477411
52-0.000373-0.00290.498863
530.0061260.04710.481315
54-0.005415-0.04160.483482
550.0061870.04750.481128
560.0003780.00290.498845
570.0046560.03580.485796
58-0.00114-0.00880.496522
59NANANA
60NANANA

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.635528 & 4.8816 & 4e-06 \tabularnewline
2 & 0.58058 & 4.4595 & 1.9e-05 \tabularnewline
3 & 0.563136 & 4.3255 & 3e-05 \tabularnewline
4 & 0.426003 & 3.2722 & 0.000893 \tabularnewline
5 & 0.418638 & 3.2156 & 0.001057 \tabularnewline
6 & 0.297743 & 2.287 & 0.0129 \tabularnewline
7 & 0.194625 & 1.4949 & 0.07013 \tabularnewline
8 & 0.122073 & 0.9377 & 0.176122 \tabularnewline
9 & -0.059965 & -0.4606 & 0.323389 \tabularnewline
10 & -0.059824 & -0.4595 & 0.323775 \tabularnewline
11 & -0.098194 & -0.7542 & 0.226853 \tabularnewline
12 & -0.13963 & -1.0725 & 0.143927 \tabularnewline
13 & -0.143886 & -1.1052 & 0.136777 \tabularnewline
14 & -0.167303 & -1.2851 & 0.101894 \tabularnewline
15 & -0.153248 & -1.1771 & 0.121938 \tabularnewline
16 & -0.284913 & -2.1885 & 0.016304 \tabularnewline
17 & -0.209041 & -1.6057 & 0.056842 \tabularnewline
18 & -0.188568 & -1.4484 & 0.076397 \tabularnewline
19 & -0.294686 & -2.2635 & 0.013648 \tabularnewline
20 & -0.255829 & -1.9651 & 0.027061 \tabularnewline
21 & -0.273994 & -2.1046 & 0.019798 \tabularnewline
22 & -0.287363 & -2.2073 & 0.015598 \tabularnewline
23 & -0.213082 & -1.6367 & 0.053507 \tabularnewline
24 & -0.32032 & -2.4604 & 0.008412 \tabularnewline
25 & -0.176896 & -1.3588 & 0.089696 \tabularnewline
26 & -0.145883 & -1.1205 & 0.133511 \tabularnewline
27 & -0.136448 & -1.0481 & 0.149438 \tabularnewline
28 & -0.024943 & -0.1916 & 0.42436 \tabularnewline
29 & -0.037616 & -0.2889 & 0.386821 \tabularnewline
30 & -0.035664 & -0.2739 & 0.392543 \tabularnewline
31 & 0.008616 & 0.0662 & 0.473728 \tabularnewline
32 & 0.059927 & 0.4603 & 0.323492 \tabularnewline
33 & 0.076712 & 0.5892 & 0.278975 \tabularnewline
34 & 0.058852 & 0.4521 & 0.326445 \tabularnewline
35 & 0.039513 & 0.3035 & 0.381285 \tabularnewline
36 & 0.022726 & 0.1746 & 0.43101 \tabularnewline
37 & -0.020005 & -0.1537 & 0.439201 \tabularnewline
38 & -0.030965 & -0.2378 & 0.406413 \tabularnewline
39 & -0.030211 & -0.2321 & 0.40865 \tabularnewline
40 & 0.022376 & 0.1719 & 0.432062 \tabularnewline
41 & -0.037123 & -0.2851 & 0.388264 \tabularnewline
42 & -0.076653 & -0.5888 & 0.279127 \tabularnewline
43 & -0.038823 & -0.2982 & 0.383296 \tabularnewline
44 & -0.051249 & -0.3936 & 0.34763 \tabularnewline
45 & -0.012714 & -0.0977 & 0.461269 \tabularnewline
46 & 0.002219 & 0.017 & 0.493229 \tabularnewline
47 & -0.020131 & -0.1546 & 0.43882 \tabularnewline
48 & -0.019397 & -0.149 & 0.441036 \tabularnewline
49 & -0.015461 & -0.1188 & 0.452934 \tabularnewline
50 & 0.012934 & 0.0993 & 0.460599 \tabularnewline
51 & 0.007407 & 0.0569 & 0.477411 \tabularnewline
52 & -0.000373 & -0.0029 & 0.498863 \tabularnewline
53 & 0.006126 & 0.0471 & 0.481315 \tabularnewline
54 & -0.005415 & -0.0416 & 0.483482 \tabularnewline
55 & 0.006187 & 0.0475 & 0.481128 \tabularnewline
56 & 0.000378 & 0.0029 & 0.498845 \tabularnewline
57 & 0.004656 & 0.0358 & 0.485796 \tabularnewline
58 & -0.00114 & -0.0088 & 0.496522 \tabularnewline
59 & NA & NA & NA \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114239&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]0.635528[/C][C]4.8816[/C][C]4e-06[/C][/ROW]
[ROW][C]2[/C][C]0.58058[/C][C]4.4595[/C][C]1.9e-05[/C][/ROW]
[ROW][C]3[/C][C]0.563136[/C][C]4.3255[/C][C]3e-05[/C][/ROW]
[ROW][C]4[/C][C]0.426003[/C][C]3.2722[/C][C]0.000893[/C][/ROW]
[ROW][C]5[/C][C]0.418638[/C][C]3.2156[/C][C]0.001057[/C][/ROW]
[ROW][C]6[/C][C]0.297743[/C][C]2.287[/C][C]0.0129[/C][/ROW]
[ROW][C]7[/C][C]0.194625[/C][C]1.4949[/C][C]0.07013[/C][/ROW]
[ROW][C]8[/C][C]0.122073[/C][C]0.9377[/C][C]0.176122[/C][/ROW]
[ROW][C]9[/C][C]-0.059965[/C][C]-0.4606[/C][C]0.323389[/C][/ROW]
[ROW][C]10[/C][C]-0.059824[/C][C]-0.4595[/C][C]0.323775[/C][/ROW]
[ROW][C]11[/C][C]-0.098194[/C][C]-0.7542[/C][C]0.226853[/C][/ROW]
[ROW][C]12[/C][C]-0.13963[/C][C]-1.0725[/C][C]0.143927[/C][/ROW]
[ROW][C]13[/C][C]-0.143886[/C][C]-1.1052[/C][C]0.136777[/C][/ROW]
[ROW][C]14[/C][C]-0.167303[/C][C]-1.2851[/C][C]0.101894[/C][/ROW]
[ROW][C]15[/C][C]-0.153248[/C][C]-1.1771[/C][C]0.121938[/C][/ROW]
[ROW][C]16[/C][C]-0.284913[/C][C]-2.1885[/C][C]0.016304[/C][/ROW]
[ROW][C]17[/C][C]-0.209041[/C][C]-1.6057[/C][C]0.056842[/C][/ROW]
[ROW][C]18[/C][C]-0.188568[/C][C]-1.4484[/C][C]0.076397[/C][/ROW]
[ROW][C]19[/C][C]-0.294686[/C][C]-2.2635[/C][C]0.013648[/C][/ROW]
[ROW][C]20[/C][C]-0.255829[/C][C]-1.9651[/C][C]0.027061[/C][/ROW]
[ROW][C]21[/C][C]-0.273994[/C][C]-2.1046[/C][C]0.019798[/C][/ROW]
[ROW][C]22[/C][C]-0.287363[/C][C]-2.2073[/C][C]0.015598[/C][/ROW]
[ROW][C]23[/C][C]-0.213082[/C][C]-1.6367[/C][C]0.053507[/C][/ROW]
[ROW][C]24[/C][C]-0.32032[/C][C]-2.4604[/C][C]0.008412[/C][/ROW]
[ROW][C]25[/C][C]-0.176896[/C][C]-1.3588[/C][C]0.089696[/C][/ROW]
[ROW][C]26[/C][C]-0.145883[/C][C]-1.1205[/C][C]0.133511[/C][/ROW]
[ROW][C]27[/C][C]-0.136448[/C][C]-1.0481[/C][C]0.149438[/C][/ROW]
[ROW][C]28[/C][C]-0.024943[/C][C]-0.1916[/C][C]0.42436[/C][/ROW]
[ROW][C]29[/C][C]-0.037616[/C][C]-0.2889[/C][C]0.386821[/C][/ROW]
[ROW][C]30[/C][C]-0.035664[/C][C]-0.2739[/C][C]0.392543[/C][/ROW]
[ROW][C]31[/C][C]0.008616[/C][C]0.0662[/C][C]0.473728[/C][/ROW]
[ROW][C]32[/C][C]0.059927[/C][C]0.4603[/C][C]0.323492[/C][/ROW]
[ROW][C]33[/C][C]0.076712[/C][C]0.5892[/C][C]0.278975[/C][/ROW]
[ROW][C]34[/C][C]0.058852[/C][C]0.4521[/C][C]0.326445[/C][/ROW]
[ROW][C]35[/C][C]0.039513[/C][C]0.3035[/C][C]0.381285[/C][/ROW]
[ROW][C]36[/C][C]0.022726[/C][C]0.1746[/C][C]0.43101[/C][/ROW]
[ROW][C]37[/C][C]-0.020005[/C][C]-0.1537[/C][C]0.439201[/C][/ROW]
[ROW][C]38[/C][C]-0.030965[/C][C]-0.2378[/C][C]0.406413[/C][/ROW]
[ROW][C]39[/C][C]-0.030211[/C][C]-0.2321[/C][C]0.40865[/C][/ROW]
[ROW][C]40[/C][C]0.022376[/C][C]0.1719[/C][C]0.432062[/C][/ROW]
[ROW][C]41[/C][C]-0.037123[/C][C]-0.2851[/C][C]0.388264[/C][/ROW]
[ROW][C]42[/C][C]-0.076653[/C][C]-0.5888[/C][C]0.279127[/C][/ROW]
[ROW][C]43[/C][C]-0.038823[/C][C]-0.2982[/C][C]0.383296[/C][/ROW]
[ROW][C]44[/C][C]-0.051249[/C][C]-0.3936[/C][C]0.34763[/C][/ROW]
[ROW][C]45[/C][C]-0.012714[/C][C]-0.0977[/C][C]0.461269[/C][/ROW]
[ROW][C]46[/C][C]0.002219[/C][C]0.017[/C][C]0.493229[/C][/ROW]
[ROW][C]47[/C][C]-0.020131[/C][C]-0.1546[/C][C]0.43882[/C][/ROW]
[ROW][C]48[/C][C]-0.019397[/C][C]-0.149[/C][C]0.441036[/C][/ROW]
[ROW][C]49[/C][C]-0.015461[/C][C]-0.1188[/C][C]0.452934[/C][/ROW]
[ROW][C]50[/C][C]0.012934[/C][C]0.0993[/C][C]0.460599[/C][/ROW]
[ROW][C]51[/C][C]0.007407[/C][C]0.0569[/C][C]0.477411[/C][/ROW]
[ROW][C]52[/C][C]-0.000373[/C][C]-0.0029[/C][C]0.498863[/C][/ROW]
[ROW][C]53[/C][C]0.006126[/C][C]0.0471[/C][C]0.481315[/C][/ROW]
[ROW][C]54[/C][C]-0.005415[/C][C]-0.0416[/C][C]0.483482[/C][/ROW]
[ROW][C]55[/C][C]0.006187[/C][C]0.0475[/C][C]0.481128[/C][/ROW]
[ROW][C]56[/C][C]0.000378[/C][C]0.0029[/C][C]0.498845[/C][/ROW]
[ROW][C]57[/C][C]0.004656[/C][C]0.0358[/C][C]0.485796[/C][/ROW]
[ROW][C]58[/C][C]-0.00114[/C][C]-0.0088[/C][C]0.496522[/C][/ROW]
[ROW][C]59[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114239&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114239&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
10.6355284.88164e-06
20.580584.45951.9e-05
30.5631364.32553e-05
40.4260033.27220.000893
50.4186383.21560.001057
60.2977432.2870.0129
70.1946251.49490.07013
80.1220730.93770.176122
9-0.059965-0.46060.323389
10-0.059824-0.45950.323775
11-0.098194-0.75420.226853
12-0.13963-1.07250.143927
13-0.143886-1.10520.136777
14-0.167303-1.28510.101894
15-0.153248-1.17710.121938
16-0.284913-2.18850.016304
17-0.209041-1.60570.056842
18-0.188568-1.44840.076397
19-0.294686-2.26350.013648
20-0.255829-1.96510.027061
21-0.273994-2.10460.019798
22-0.287363-2.20730.015598
23-0.213082-1.63670.053507
24-0.32032-2.46040.008412
25-0.176896-1.35880.089696
26-0.145883-1.12050.133511
27-0.136448-1.04810.149438
28-0.024943-0.19160.42436
29-0.037616-0.28890.386821
30-0.035664-0.27390.392543
310.0086160.06620.473728
320.0599270.46030.323492
330.0767120.58920.278975
340.0588520.45210.326445
350.0395130.30350.381285
360.0227260.17460.43101
37-0.020005-0.15370.439201
38-0.030965-0.23780.406413
39-0.030211-0.23210.40865
400.0223760.17190.432062
41-0.037123-0.28510.388264
42-0.076653-0.58880.279127
43-0.038823-0.29820.383296
44-0.051249-0.39360.34763
45-0.012714-0.09770.461269
460.0022190.0170.493229
47-0.020131-0.15460.43882
48-0.019397-0.1490.441036
49-0.015461-0.11880.452934
500.0129340.09930.460599
510.0074070.05690.477411
52-0.000373-0.00290.498863
530.0061260.04710.481315
54-0.005415-0.04160.483482
550.0061870.04750.481128
560.0003780.00290.498845
570.0046560.03580.485796
58-0.00114-0.00880.496522
59NANANA
60NANANA







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.6355284.88164e-06
20.2963992.27670.013224
30.2117841.62670.05456
4-0.081168-0.62350.267692
50.0683740.52520.30071
6-0.131137-1.00730.158956
7-0.116107-0.89180.188053
8-0.113631-0.87280.19315
9-0.25502-1.95880.027431
100.0219740.16880.43327
110.0393380.30220.381795
120.0852810.65510.257488
130.0298910.22960.4096
140.0606660.4660.321472
150.0322990.24810.402462
16-0.320736-2.46360.008345
170.0339830.2610.397489
18-0.06736-0.51740.303405
19-0.198762-1.52670.066087
20-0.063137-0.4850.314748
210.032430.24910.402074
220.0329020.25270.40068
230.1433541.10110.137658
24-0.115036-0.88360.190247
250.1410331.08330.141543
260.0548110.4210.337637
270.0570080.43790.331534
28-0.039038-0.29990.382671
29-0.09643-0.74070.230908
30-0.172858-1.32780.094687
31-0.1079-0.82880.20528
320.0378790.2910.386053
33-0.027389-0.21040.417048
340.0891090.68450.248182
35-0.04019-0.30870.379318
360.0266870.2050.419144
37-0.019587-0.15040.440462
38-0.086991-0.66820.25331
390.018180.13960.44471
40-0.035145-0.270.394069
41-0.034229-0.26290.396765
42-0.092794-0.71280.2394
43-0.029652-0.22780.410309
440.0273070.20970.417294
450.085130.65390.257859
46-0.044582-0.34240.366619
470.0388680.29850.383167
48-0.04046-0.31080.378533
490.0624250.47950.31668
500.0391170.30050.382439
51-0.082677-0.63510.263924
52-0.009525-0.07320.470961
53-0.050635-0.38890.349361
54-0.092651-0.71170.239738
55-0.037124-0.28520.388261
560.070530.54180.295015
57-0.067213-0.51630.303798
58-0.029693-0.22810.410188
59NANANA
60NANANA

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.635528 & 4.8816 & 4e-06 \tabularnewline
2 & 0.296399 & 2.2767 & 0.013224 \tabularnewline
3 & 0.211784 & 1.6267 & 0.05456 \tabularnewline
4 & -0.081168 & -0.6235 & 0.267692 \tabularnewline
5 & 0.068374 & 0.5252 & 0.30071 \tabularnewline
6 & -0.131137 & -1.0073 & 0.158956 \tabularnewline
7 & -0.116107 & -0.8918 & 0.188053 \tabularnewline
8 & -0.113631 & -0.8728 & 0.19315 \tabularnewline
9 & -0.25502 & -1.9588 & 0.027431 \tabularnewline
10 & 0.021974 & 0.1688 & 0.43327 \tabularnewline
11 & 0.039338 & 0.3022 & 0.381795 \tabularnewline
12 & 0.085281 & 0.6551 & 0.257488 \tabularnewline
13 & 0.029891 & 0.2296 & 0.4096 \tabularnewline
14 & 0.060666 & 0.466 & 0.321472 \tabularnewline
15 & 0.032299 & 0.2481 & 0.402462 \tabularnewline
16 & -0.320736 & -2.4636 & 0.008345 \tabularnewline
17 & 0.033983 & 0.261 & 0.397489 \tabularnewline
18 & -0.06736 & -0.5174 & 0.303405 \tabularnewline
19 & -0.198762 & -1.5267 & 0.066087 \tabularnewline
20 & -0.063137 & -0.485 & 0.314748 \tabularnewline
21 & 0.03243 & 0.2491 & 0.402074 \tabularnewline
22 & 0.032902 & 0.2527 & 0.40068 \tabularnewline
23 & 0.143354 & 1.1011 & 0.137658 \tabularnewline
24 & -0.115036 & -0.8836 & 0.190247 \tabularnewline
25 & 0.141033 & 1.0833 & 0.141543 \tabularnewline
26 & 0.054811 & 0.421 & 0.337637 \tabularnewline
27 & 0.057008 & 0.4379 & 0.331534 \tabularnewline
28 & -0.039038 & -0.2999 & 0.382671 \tabularnewline
29 & -0.09643 & -0.7407 & 0.230908 \tabularnewline
30 & -0.172858 & -1.3278 & 0.094687 \tabularnewline
31 & -0.1079 & -0.8288 & 0.20528 \tabularnewline
32 & 0.037879 & 0.291 & 0.386053 \tabularnewline
33 & -0.027389 & -0.2104 & 0.417048 \tabularnewline
34 & 0.089109 & 0.6845 & 0.248182 \tabularnewline
35 & -0.04019 & -0.3087 & 0.379318 \tabularnewline
36 & 0.026687 & 0.205 & 0.419144 \tabularnewline
37 & -0.019587 & -0.1504 & 0.440462 \tabularnewline
38 & -0.086991 & -0.6682 & 0.25331 \tabularnewline
39 & 0.01818 & 0.1396 & 0.44471 \tabularnewline
40 & -0.035145 & -0.27 & 0.394069 \tabularnewline
41 & -0.034229 & -0.2629 & 0.396765 \tabularnewline
42 & -0.092794 & -0.7128 & 0.2394 \tabularnewline
43 & -0.029652 & -0.2278 & 0.410309 \tabularnewline
44 & 0.027307 & 0.2097 & 0.417294 \tabularnewline
45 & 0.08513 & 0.6539 & 0.257859 \tabularnewline
46 & -0.044582 & -0.3424 & 0.366619 \tabularnewline
47 & 0.038868 & 0.2985 & 0.383167 \tabularnewline
48 & -0.04046 & -0.3108 & 0.378533 \tabularnewline
49 & 0.062425 & 0.4795 & 0.31668 \tabularnewline
50 & 0.039117 & 0.3005 & 0.382439 \tabularnewline
51 & -0.082677 & -0.6351 & 0.263924 \tabularnewline
52 & -0.009525 & -0.0732 & 0.470961 \tabularnewline
53 & -0.050635 & -0.3889 & 0.349361 \tabularnewline
54 & -0.092651 & -0.7117 & 0.239738 \tabularnewline
55 & -0.037124 & -0.2852 & 0.388261 \tabularnewline
56 & 0.07053 & 0.5418 & 0.295015 \tabularnewline
57 & -0.067213 & -0.5163 & 0.303798 \tabularnewline
58 & -0.029693 & -0.2281 & 0.410188 \tabularnewline
59 & NA & NA & NA \tabularnewline
60 & NA & NA & NA \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=114239&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]0.635528[/C][C]4.8816[/C][C]4e-06[/C][/ROW]
[ROW][C]2[/C][C]0.296399[/C][C]2.2767[/C][C]0.013224[/C][/ROW]
[ROW][C]3[/C][C]0.211784[/C][C]1.6267[/C][C]0.05456[/C][/ROW]
[ROW][C]4[/C][C]-0.081168[/C][C]-0.6235[/C][C]0.267692[/C][/ROW]
[ROW][C]5[/C][C]0.068374[/C][C]0.5252[/C][C]0.30071[/C][/ROW]
[ROW][C]6[/C][C]-0.131137[/C][C]-1.0073[/C][C]0.158956[/C][/ROW]
[ROW][C]7[/C][C]-0.116107[/C][C]-0.8918[/C][C]0.188053[/C][/ROW]
[ROW][C]8[/C][C]-0.113631[/C][C]-0.8728[/C][C]0.19315[/C][/ROW]
[ROW][C]9[/C][C]-0.25502[/C][C]-1.9588[/C][C]0.027431[/C][/ROW]
[ROW][C]10[/C][C]0.021974[/C][C]0.1688[/C][C]0.43327[/C][/ROW]
[ROW][C]11[/C][C]0.039338[/C][C]0.3022[/C][C]0.381795[/C][/ROW]
[ROW][C]12[/C][C]0.085281[/C][C]0.6551[/C][C]0.257488[/C][/ROW]
[ROW][C]13[/C][C]0.029891[/C][C]0.2296[/C][C]0.4096[/C][/ROW]
[ROW][C]14[/C][C]0.060666[/C][C]0.466[/C][C]0.321472[/C][/ROW]
[ROW][C]15[/C][C]0.032299[/C][C]0.2481[/C][C]0.402462[/C][/ROW]
[ROW][C]16[/C][C]-0.320736[/C][C]-2.4636[/C][C]0.008345[/C][/ROW]
[ROW][C]17[/C][C]0.033983[/C][C]0.261[/C][C]0.397489[/C][/ROW]
[ROW][C]18[/C][C]-0.06736[/C][C]-0.5174[/C][C]0.303405[/C][/ROW]
[ROW][C]19[/C][C]-0.198762[/C][C]-1.5267[/C][C]0.066087[/C][/ROW]
[ROW][C]20[/C][C]-0.063137[/C][C]-0.485[/C][C]0.314748[/C][/ROW]
[ROW][C]21[/C][C]0.03243[/C][C]0.2491[/C][C]0.402074[/C][/ROW]
[ROW][C]22[/C][C]0.032902[/C][C]0.2527[/C][C]0.40068[/C][/ROW]
[ROW][C]23[/C][C]0.143354[/C][C]1.1011[/C][C]0.137658[/C][/ROW]
[ROW][C]24[/C][C]-0.115036[/C][C]-0.8836[/C][C]0.190247[/C][/ROW]
[ROW][C]25[/C][C]0.141033[/C][C]1.0833[/C][C]0.141543[/C][/ROW]
[ROW][C]26[/C][C]0.054811[/C][C]0.421[/C][C]0.337637[/C][/ROW]
[ROW][C]27[/C][C]0.057008[/C][C]0.4379[/C][C]0.331534[/C][/ROW]
[ROW][C]28[/C][C]-0.039038[/C][C]-0.2999[/C][C]0.382671[/C][/ROW]
[ROW][C]29[/C][C]-0.09643[/C][C]-0.7407[/C][C]0.230908[/C][/ROW]
[ROW][C]30[/C][C]-0.172858[/C][C]-1.3278[/C][C]0.094687[/C][/ROW]
[ROW][C]31[/C][C]-0.1079[/C][C]-0.8288[/C][C]0.20528[/C][/ROW]
[ROW][C]32[/C][C]0.037879[/C][C]0.291[/C][C]0.386053[/C][/ROW]
[ROW][C]33[/C][C]-0.027389[/C][C]-0.2104[/C][C]0.417048[/C][/ROW]
[ROW][C]34[/C][C]0.089109[/C][C]0.6845[/C][C]0.248182[/C][/ROW]
[ROW][C]35[/C][C]-0.04019[/C][C]-0.3087[/C][C]0.379318[/C][/ROW]
[ROW][C]36[/C][C]0.026687[/C][C]0.205[/C][C]0.419144[/C][/ROW]
[ROW][C]37[/C][C]-0.019587[/C][C]-0.1504[/C][C]0.440462[/C][/ROW]
[ROW][C]38[/C][C]-0.086991[/C][C]-0.6682[/C][C]0.25331[/C][/ROW]
[ROW][C]39[/C][C]0.01818[/C][C]0.1396[/C][C]0.44471[/C][/ROW]
[ROW][C]40[/C][C]-0.035145[/C][C]-0.27[/C][C]0.394069[/C][/ROW]
[ROW][C]41[/C][C]-0.034229[/C][C]-0.2629[/C][C]0.396765[/C][/ROW]
[ROW][C]42[/C][C]-0.092794[/C][C]-0.7128[/C][C]0.2394[/C][/ROW]
[ROW][C]43[/C][C]-0.029652[/C][C]-0.2278[/C][C]0.410309[/C][/ROW]
[ROW][C]44[/C][C]0.027307[/C][C]0.2097[/C][C]0.417294[/C][/ROW]
[ROW][C]45[/C][C]0.08513[/C][C]0.6539[/C][C]0.257859[/C][/ROW]
[ROW][C]46[/C][C]-0.044582[/C][C]-0.3424[/C][C]0.366619[/C][/ROW]
[ROW][C]47[/C][C]0.038868[/C][C]0.2985[/C][C]0.383167[/C][/ROW]
[ROW][C]48[/C][C]-0.04046[/C][C]-0.3108[/C][C]0.378533[/C][/ROW]
[ROW][C]49[/C][C]0.062425[/C][C]0.4795[/C][C]0.31668[/C][/ROW]
[ROW][C]50[/C][C]0.039117[/C][C]0.3005[/C][C]0.382439[/C][/ROW]
[ROW][C]51[/C][C]-0.082677[/C][C]-0.6351[/C][C]0.263924[/C][/ROW]
[ROW][C]52[/C][C]-0.009525[/C][C]-0.0732[/C][C]0.470961[/C][/ROW]
[ROW][C]53[/C][C]-0.050635[/C][C]-0.3889[/C][C]0.349361[/C][/ROW]
[ROW][C]54[/C][C]-0.092651[/C][C]-0.7117[/C][C]0.239738[/C][/ROW]
[ROW][C]55[/C][C]-0.037124[/C][C]-0.2852[/C][C]0.388261[/C][/ROW]
[ROW][C]56[/C][C]0.07053[/C][C]0.5418[/C][C]0.295015[/C][/ROW]
[ROW][C]57[/C][C]-0.067213[/C][C]-0.5163[/C][C]0.303798[/C][/ROW]
[ROW][C]58[/C][C]-0.029693[/C][C]-0.2281[/C][C]0.410188[/C][/ROW]
[ROW][C]59[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C]60[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=114239&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=114239&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
10.6355284.88164e-06
20.2963992.27670.013224
30.2117841.62670.05456
4-0.081168-0.62350.267692
50.0683740.52520.30071
6-0.131137-1.00730.158956
7-0.116107-0.89180.188053
8-0.113631-0.87280.19315
9-0.25502-1.95880.027431
100.0219740.16880.43327
110.0393380.30220.381795
120.0852810.65510.257488
130.0298910.22960.4096
140.0606660.4660.321472
150.0322990.24810.402462
16-0.320736-2.46360.008345
170.0339830.2610.397489
18-0.06736-0.51740.303405
19-0.198762-1.52670.066087
20-0.063137-0.4850.314748
210.032430.24910.402074
220.0329020.25270.40068
230.1433541.10110.137658
24-0.115036-0.88360.190247
250.1410331.08330.141543
260.0548110.4210.337637
270.0570080.43790.331534
28-0.039038-0.29990.382671
29-0.09643-0.74070.230908
30-0.172858-1.32780.094687
31-0.1079-0.82880.20528
320.0378790.2910.386053
33-0.027389-0.21040.417048
340.0891090.68450.248182
35-0.04019-0.30870.379318
360.0266870.2050.419144
37-0.019587-0.15040.440462
38-0.086991-0.66820.25331
390.018180.13960.44471
40-0.035145-0.270.394069
41-0.034229-0.26290.396765
42-0.092794-0.71280.2394
43-0.029652-0.22780.410309
440.0273070.20970.417294
450.085130.65390.257859
46-0.044582-0.34240.366619
470.0388680.29850.383167
48-0.04046-0.31080.378533
490.0624250.47950.31668
500.0391170.30050.382439
51-0.082677-0.63510.263924
52-0.009525-0.07320.470961
53-0.050635-0.38890.349361
54-0.092651-0.71170.239738
55-0.037124-0.28520.388261
560.070530.54180.295015
57-0.067213-0.51630.303798
58-0.029693-0.22810.410188
59NANANA
60NANANA



Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 0 ; 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)
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')