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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, 16 Dec 2015 19:34:59 +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/2015/Dec/16/t1450294516m4x8gpgb8hnegj3.htm/, Retrieved Thu, 16 May 2024 13:07:00 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=286741, Retrieved Thu, 16 May 2024 13:07:00 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact73
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Data Series] [] [2015-12-16 19:09:29] [c4d175d45982400f45768592120a8602]
- RMP   [Mean Plot] [] [2015-12-16 19:15:48] [c4d175d45982400f45768592120a8602]
- RM      [Variance Reduction Matrix] [] [2015-12-16 19:29:45] [c4d175d45982400f45768592120a8602]
- RMP         [(Partial) Autocorrelation Function] [] [2015-12-16 19:34:59] [0f06e4fdd8087d4b3abca42184bf2a00] [Current]
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Dataseries X:
87.29
88.19
89.1
89.1
103.65
127.75
125.47
125.47
109.11
100.01
95.01
85.01
86.83
86.83
86.83
86.83
100.47
111.38
105.47
102.74
105.01
96.38
94.1
86.83
92.74
93.2
95.47
96.38
99.56
120.47
123.2
114.11
120.93
102.74
101.83
95.47
100.01
100.01
98.2
100.01
103.65
114.56
134.11
131.84
113.65
107.29
102.29
94.56
97.29
98.2
95.47
100.47
116.38
117.29
140.93
120.02
111.38
108.65
105.92
99.1
101.83
102.74
102.74
105.47
108.65
139.57
110.47
118.65
120.02
109.11
108.2
101.38
106.38
108.65
107.74
105.92
129.56
139.11
125.93
123.65
118.65
110.47
110.02
100.47
104.1
106.6
105.5
107.5
117.9
136.3
156.8
135.8
130
117.5
115.8
105.5
111.6
113.2
113.1
112.5
120
147.6
149.9
131.2
134.6
122.2




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'Sir Maurice George Kendall' @ kendall.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 & 'Sir Maurice George Kendall' @ kendall.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286741&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]'Sir Maurice George Kendall' @ kendall.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286741&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286741&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'Sir Maurice George Kendall' @ kendall.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.7535657.75840
20.4903195.04811e-06
30.2273292.34050.010565
4-0.013621-0.14020.444369
5-0.157435-1.62090.054006
6-0.199421-2.05320.021259
7-0.134186-1.38150.08501
80.0111520.11480.454406
90.1841791.89620.030326
100.3881033.99586e-05
110.6092126.27220
120.6709676.9080
130.5615095.78110
140.346873.57120.000268
150.118061.21550.113437
16-0.063865-0.65750.256131
17-0.183346-1.88770.030903
18-0.23073-2.37550.009661
19-0.179678-1.84990.033557
20-0.066645-0.68620.247057
210.0620360.63870.262199
220.2784792.86710.002499
230.3966894.08424.3e-05
240.4487544.62025e-06
250.4254224.381.4e-05
260.2138082.20130.014942
270.02750.28310.388816
28-0.123783-1.27440.10265
29-0.240053-2.47150.007523
30-0.276868-2.85050.002623
31-0.216849-2.23260.013839
32-0.123168-1.26810.103771
330.0316390.32570.372632
340.1754271.80610.036868
350.3052823.14310.001084
360.3764473.87589.2e-05
370.2870542.95540.001924
380.1274931.31260.096072
39-0.056614-0.58290.280607
40-0.197176-2.030.022428
41-0.295826-3.04570.001465
42-0.316451-3.25810.000754
43-0.252278-2.59740.005365
44-0.132256-1.36170.088097
45-0.007784-0.08010.468137
460.131691.35580.089017
470.2897622.98330.00177
480.3038653.12850.001135
490.1880541.93610.027757
500.0417280.42960.334175
51-0.119071-1.22590.111475
52-0.228693-2.35450.010194
53-0.284754-2.93170.002065
54-0.307944-3.17050.000995
55-0.235067-2.42020.008607
56-0.151634-1.56120.060732
57-0.06025-0.62030.268192
580.0730850.75250.226724
590.1580671.62740.053311
600.1836661.8910.03068

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.753565 & 7.7584 & 0 \tabularnewline
2 & 0.490319 & 5.0481 & 1e-06 \tabularnewline
3 & 0.227329 & 2.3405 & 0.010565 \tabularnewline
4 & -0.013621 & -0.1402 & 0.444369 \tabularnewline
5 & -0.157435 & -1.6209 & 0.054006 \tabularnewline
6 & -0.199421 & -2.0532 & 0.021259 \tabularnewline
7 & -0.134186 & -1.3815 & 0.08501 \tabularnewline
8 & 0.011152 & 0.1148 & 0.454406 \tabularnewline
9 & 0.184179 & 1.8962 & 0.030326 \tabularnewline
10 & 0.388103 & 3.9958 & 6e-05 \tabularnewline
11 & 0.609212 & 6.2722 & 0 \tabularnewline
12 & 0.670967 & 6.908 & 0 \tabularnewline
13 & 0.561509 & 5.7811 & 0 \tabularnewline
14 & 0.34687 & 3.5712 & 0.000268 \tabularnewline
15 & 0.11806 & 1.2155 & 0.113437 \tabularnewline
16 & -0.063865 & -0.6575 & 0.256131 \tabularnewline
17 & -0.183346 & -1.8877 & 0.030903 \tabularnewline
18 & -0.23073 & -2.3755 & 0.009661 \tabularnewline
19 & -0.179678 & -1.8499 & 0.033557 \tabularnewline
20 & -0.066645 & -0.6862 & 0.247057 \tabularnewline
21 & 0.062036 & 0.6387 & 0.262199 \tabularnewline
22 & 0.278479 & 2.8671 & 0.002499 \tabularnewline
23 & 0.396689 & 4.0842 & 4.3e-05 \tabularnewline
24 & 0.448754 & 4.6202 & 5e-06 \tabularnewline
25 & 0.425422 & 4.38 & 1.4e-05 \tabularnewline
26 & 0.213808 & 2.2013 & 0.014942 \tabularnewline
27 & 0.0275 & 0.2831 & 0.388816 \tabularnewline
28 & -0.123783 & -1.2744 & 0.10265 \tabularnewline
29 & -0.240053 & -2.4715 & 0.007523 \tabularnewline
30 & -0.276868 & -2.8505 & 0.002623 \tabularnewline
31 & -0.216849 & -2.2326 & 0.013839 \tabularnewline
32 & -0.123168 & -1.2681 & 0.103771 \tabularnewline
33 & 0.031639 & 0.3257 & 0.372632 \tabularnewline
34 & 0.175427 & 1.8061 & 0.036868 \tabularnewline
35 & 0.305282 & 3.1431 & 0.001084 \tabularnewline
36 & 0.376447 & 3.8758 & 9.2e-05 \tabularnewline
37 & 0.287054 & 2.9554 & 0.001924 \tabularnewline
38 & 0.127493 & 1.3126 & 0.096072 \tabularnewline
39 & -0.056614 & -0.5829 & 0.280607 \tabularnewline
40 & -0.197176 & -2.03 & 0.022428 \tabularnewline
41 & -0.295826 & -3.0457 & 0.001465 \tabularnewline
42 & -0.316451 & -3.2581 & 0.000754 \tabularnewline
43 & -0.252278 & -2.5974 & 0.005365 \tabularnewline
44 & -0.132256 & -1.3617 & 0.088097 \tabularnewline
45 & -0.007784 & -0.0801 & 0.468137 \tabularnewline
46 & 0.13169 & 1.3558 & 0.089017 \tabularnewline
47 & 0.289762 & 2.9833 & 0.00177 \tabularnewline
48 & 0.303865 & 3.1285 & 0.001135 \tabularnewline
49 & 0.188054 & 1.9361 & 0.027757 \tabularnewline
50 & 0.041728 & 0.4296 & 0.334175 \tabularnewline
51 & -0.119071 & -1.2259 & 0.111475 \tabularnewline
52 & -0.228693 & -2.3545 & 0.010194 \tabularnewline
53 & -0.284754 & -2.9317 & 0.002065 \tabularnewline
54 & -0.307944 & -3.1705 & 0.000995 \tabularnewline
55 & -0.235067 & -2.4202 & 0.008607 \tabularnewline
56 & -0.151634 & -1.5612 & 0.060732 \tabularnewline
57 & -0.06025 & -0.6203 & 0.268192 \tabularnewline
58 & 0.073085 & 0.7525 & 0.226724 \tabularnewline
59 & 0.158067 & 1.6274 & 0.053311 \tabularnewline
60 & 0.183666 & 1.891 & 0.03068 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286741&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]0.753565[/C][C]7.7584[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.490319[/C][C]5.0481[/C][C]1e-06[/C][/ROW]
[ROW][C]3[/C][C]0.227329[/C][C]2.3405[/C][C]0.010565[/C][/ROW]
[ROW][C]4[/C][C]-0.013621[/C][C]-0.1402[/C][C]0.444369[/C][/ROW]
[ROW][C]5[/C][C]-0.157435[/C][C]-1.6209[/C][C]0.054006[/C][/ROW]
[ROW][C]6[/C][C]-0.199421[/C][C]-2.0532[/C][C]0.021259[/C][/ROW]
[ROW][C]7[/C][C]-0.134186[/C][C]-1.3815[/C][C]0.08501[/C][/ROW]
[ROW][C]8[/C][C]0.011152[/C][C]0.1148[/C][C]0.454406[/C][/ROW]
[ROW][C]9[/C][C]0.184179[/C][C]1.8962[/C][C]0.030326[/C][/ROW]
[ROW][C]10[/C][C]0.388103[/C][C]3.9958[/C][C]6e-05[/C][/ROW]
[ROW][C]11[/C][C]0.609212[/C][C]6.2722[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0.670967[/C][C]6.908[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.561509[/C][C]5.7811[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0.34687[/C][C]3.5712[/C][C]0.000268[/C][/ROW]
[ROW][C]15[/C][C]0.11806[/C][C]1.2155[/C][C]0.113437[/C][/ROW]
[ROW][C]16[/C][C]-0.063865[/C][C]-0.6575[/C][C]0.256131[/C][/ROW]
[ROW][C]17[/C][C]-0.183346[/C][C]-1.8877[/C][C]0.030903[/C][/ROW]
[ROW][C]18[/C][C]-0.23073[/C][C]-2.3755[/C][C]0.009661[/C][/ROW]
[ROW][C]19[/C][C]-0.179678[/C][C]-1.8499[/C][C]0.033557[/C][/ROW]
[ROW][C]20[/C][C]-0.066645[/C][C]-0.6862[/C][C]0.247057[/C][/ROW]
[ROW][C]21[/C][C]0.062036[/C][C]0.6387[/C][C]0.262199[/C][/ROW]
[ROW][C]22[/C][C]0.278479[/C][C]2.8671[/C][C]0.002499[/C][/ROW]
[ROW][C]23[/C][C]0.396689[/C][C]4.0842[/C][C]4.3e-05[/C][/ROW]
[ROW][C]24[/C][C]0.448754[/C][C]4.6202[/C][C]5e-06[/C][/ROW]
[ROW][C]25[/C][C]0.425422[/C][C]4.38[/C][C]1.4e-05[/C][/ROW]
[ROW][C]26[/C][C]0.213808[/C][C]2.2013[/C][C]0.014942[/C][/ROW]
[ROW][C]27[/C][C]0.0275[/C][C]0.2831[/C][C]0.388816[/C][/ROW]
[ROW][C]28[/C][C]-0.123783[/C][C]-1.2744[/C][C]0.10265[/C][/ROW]
[ROW][C]29[/C][C]-0.240053[/C][C]-2.4715[/C][C]0.007523[/C][/ROW]
[ROW][C]30[/C][C]-0.276868[/C][C]-2.8505[/C][C]0.002623[/C][/ROW]
[ROW][C]31[/C][C]-0.216849[/C][C]-2.2326[/C][C]0.013839[/C][/ROW]
[ROW][C]32[/C][C]-0.123168[/C][C]-1.2681[/C][C]0.103771[/C][/ROW]
[ROW][C]33[/C][C]0.031639[/C][C]0.3257[/C][C]0.372632[/C][/ROW]
[ROW][C]34[/C][C]0.175427[/C][C]1.8061[/C][C]0.036868[/C][/ROW]
[ROW][C]35[/C][C]0.305282[/C][C]3.1431[/C][C]0.001084[/C][/ROW]
[ROW][C]36[/C][C]0.376447[/C][C]3.8758[/C][C]9.2e-05[/C][/ROW]
[ROW][C]37[/C][C]0.287054[/C][C]2.9554[/C][C]0.001924[/C][/ROW]
[ROW][C]38[/C][C]0.127493[/C][C]1.3126[/C][C]0.096072[/C][/ROW]
[ROW][C]39[/C][C]-0.056614[/C][C]-0.5829[/C][C]0.280607[/C][/ROW]
[ROW][C]40[/C][C]-0.197176[/C][C]-2.03[/C][C]0.022428[/C][/ROW]
[ROW][C]41[/C][C]-0.295826[/C][C]-3.0457[/C][C]0.001465[/C][/ROW]
[ROW][C]42[/C][C]-0.316451[/C][C]-3.2581[/C][C]0.000754[/C][/ROW]
[ROW][C]43[/C][C]-0.252278[/C][C]-2.5974[/C][C]0.005365[/C][/ROW]
[ROW][C]44[/C][C]-0.132256[/C][C]-1.3617[/C][C]0.088097[/C][/ROW]
[ROW][C]45[/C][C]-0.007784[/C][C]-0.0801[/C][C]0.468137[/C][/ROW]
[ROW][C]46[/C][C]0.13169[/C][C]1.3558[/C][C]0.089017[/C][/ROW]
[ROW][C]47[/C][C]0.289762[/C][C]2.9833[/C][C]0.00177[/C][/ROW]
[ROW][C]48[/C][C]0.303865[/C][C]3.1285[/C][C]0.001135[/C][/ROW]
[ROW][C]49[/C][C]0.188054[/C][C]1.9361[/C][C]0.027757[/C][/ROW]
[ROW][C]50[/C][C]0.041728[/C][C]0.4296[/C][C]0.334175[/C][/ROW]
[ROW][C]51[/C][C]-0.119071[/C][C]-1.2259[/C][C]0.111475[/C][/ROW]
[ROW][C]52[/C][C]-0.228693[/C][C]-2.3545[/C][C]0.010194[/C][/ROW]
[ROW][C]53[/C][C]-0.284754[/C][C]-2.9317[/C][C]0.002065[/C][/ROW]
[ROW][C]54[/C][C]-0.307944[/C][C]-3.1705[/C][C]0.000995[/C][/ROW]
[ROW][C]55[/C][C]-0.235067[/C][C]-2.4202[/C][C]0.008607[/C][/ROW]
[ROW][C]56[/C][C]-0.151634[/C][C]-1.5612[/C][C]0.060732[/C][/ROW]
[ROW][C]57[/C][C]-0.06025[/C][C]-0.6203[/C][C]0.268192[/C][/ROW]
[ROW][C]58[/C][C]0.073085[/C][C]0.7525[/C][C]0.226724[/C][/ROW]
[ROW][C]59[/C][C]0.158067[/C][C]1.6274[/C][C]0.053311[/C][/ROW]
[ROW][C]60[/C][C]0.183666[/C][C]1.891[/C][C]0.03068[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286741&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286741&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
10.7535657.75840
20.4903195.04811e-06
30.2273292.34050.010565
4-0.013621-0.14020.444369
5-0.157435-1.62090.054006
6-0.199421-2.05320.021259
7-0.134186-1.38150.08501
80.0111520.11480.454406
90.1841791.89620.030326
100.3881033.99586e-05
110.6092126.27220
120.6709676.9080
130.5615095.78110
140.346873.57120.000268
150.118061.21550.113437
16-0.063865-0.65750.256131
17-0.183346-1.88770.030903
18-0.23073-2.37550.009661
19-0.179678-1.84990.033557
20-0.066645-0.68620.247057
210.0620360.63870.262199
220.2784792.86710.002499
230.3966894.08424.3e-05
240.4487544.62025e-06
250.4254224.381.4e-05
260.2138082.20130.014942
270.02750.28310.388816
28-0.123783-1.27440.10265
29-0.240053-2.47150.007523
30-0.276868-2.85050.002623
31-0.216849-2.23260.013839
32-0.123168-1.26810.103771
330.0316390.32570.372632
340.1754271.80610.036868
350.3052823.14310.001084
360.3764473.87589.2e-05
370.2870542.95540.001924
380.1274931.31260.096072
39-0.056614-0.58290.280607
40-0.197176-2.030.022428
41-0.295826-3.04570.001465
42-0.316451-3.25810.000754
43-0.252278-2.59740.005365
44-0.132256-1.36170.088097
45-0.007784-0.08010.468137
460.131691.35580.089017
470.2897622.98330.00177
480.3038653.12850.001135
490.1880541.93610.027757
500.0417280.42960.334175
51-0.119071-1.22590.111475
52-0.228693-2.35450.010194
53-0.284754-2.93170.002065
54-0.307944-3.17050.000995
55-0.235067-2.42020.008607
56-0.151634-1.56120.060732
57-0.06025-0.62030.268192
580.0730850.75250.226724
590.1580671.62740.053311
600.1836661.8910.03068







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.7535657.75840
2-0.179436-1.84740.033739
3-0.175124-1.8030.037114
4-0.160069-1.6480.051156
5-0.001685-0.01730.493097
60.0466240.480.316102
70.1215281.25120.106806
80.1478031.52170.065528
90.1353751.39380.083151
100.2499412.57330.005728
110.3782153.8948.6e-05
120.0716950.73810.231028
13-0.109103-1.12330.131927
14-0.129073-1.32890.09337
15-0.000754-0.00780.49691
160.0543720.55980.2884
17-0.015814-0.16280.435488
18-0.124355-1.28030.101615
19-0.072413-0.74550.228799
20-0.014184-0.1460.442086
21-0.062873-0.64730.259412
220.1426811.4690.072399
23-0.164028-1.68880.047102
240.0201370.20730.418076
250.1712911.76360.040344
26-0.212486-2.18770.015445
270.0145320.14960.440677
280.0025410.02620.489589
29-0.031044-0.31960.374945
30-0.011082-0.11410.454688
310.0769490.79220.214995
32-0.042995-0.44270.329458
33-0.001569-0.01620.493571
340.026880.27670.391256
350.0934640.96230.169052
360.0165440.17030.432537
37-0.153243-1.57770.058803
38-0.016478-0.16970.432802
39-0.032397-0.33350.369691
400.0491090.50560.307091
41-0.049932-0.51410.304133
42-0.08914-0.91780.180416
430.0667710.68750.246649
44-0.025742-0.2650.395752
450.0111530.11480.454399
460.0692620.71310.238678
470.0049680.05110.479653
48-0.03074-0.31650.376129
49-0.131349-1.35230.089575
500.01270.13080.448109
510.0845450.87040.193013
520.0723110.74450.229114
53-0.036935-0.38030.352254
54-0.107877-1.11070.134614
550.0302410.31130.378075
56-0.054727-0.56350.287158
57-0.010966-0.11290.455159
58-0.087178-0.89760.185728
59-0.071932-0.74060.23029
600.0378960.39020.3486

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.753565 & 7.7584 & 0 \tabularnewline
2 & -0.179436 & -1.8474 & 0.033739 \tabularnewline
3 & -0.175124 & -1.803 & 0.037114 \tabularnewline
4 & -0.160069 & -1.648 & 0.051156 \tabularnewline
5 & -0.001685 & -0.0173 & 0.493097 \tabularnewline
6 & 0.046624 & 0.48 & 0.316102 \tabularnewline
7 & 0.121528 & 1.2512 & 0.106806 \tabularnewline
8 & 0.147803 & 1.5217 & 0.065528 \tabularnewline
9 & 0.135375 & 1.3938 & 0.083151 \tabularnewline
10 & 0.249941 & 2.5733 & 0.005728 \tabularnewline
11 & 0.378215 & 3.894 & 8.6e-05 \tabularnewline
12 & 0.071695 & 0.7381 & 0.231028 \tabularnewline
13 & -0.109103 & -1.1233 & 0.131927 \tabularnewline
14 & -0.129073 & -1.3289 & 0.09337 \tabularnewline
15 & -0.000754 & -0.0078 & 0.49691 \tabularnewline
16 & 0.054372 & 0.5598 & 0.2884 \tabularnewline
17 & -0.015814 & -0.1628 & 0.435488 \tabularnewline
18 & -0.124355 & -1.2803 & 0.101615 \tabularnewline
19 & -0.072413 & -0.7455 & 0.228799 \tabularnewline
20 & -0.014184 & -0.146 & 0.442086 \tabularnewline
21 & -0.062873 & -0.6473 & 0.259412 \tabularnewline
22 & 0.142681 & 1.469 & 0.072399 \tabularnewline
23 & -0.164028 & -1.6888 & 0.047102 \tabularnewline
24 & 0.020137 & 0.2073 & 0.418076 \tabularnewline
25 & 0.171291 & 1.7636 & 0.040344 \tabularnewline
26 & -0.212486 & -2.1877 & 0.015445 \tabularnewline
27 & 0.014532 & 0.1496 & 0.440677 \tabularnewline
28 & 0.002541 & 0.0262 & 0.489589 \tabularnewline
29 & -0.031044 & -0.3196 & 0.374945 \tabularnewline
30 & -0.011082 & -0.1141 & 0.454688 \tabularnewline
31 & 0.076949 & 0.7922 & 0.214995 \tabularnewline
32 & -0.042995 & -0.4427 & 0.329458 \tabularnewline
33 & -0.001569 & -0.0162 & 0.493571 \tabularnewline
34 & 0.02688 & 0.2767 & 0.391256 \tabularnewline
35 & 0.093464 & 0.9623 & 0.169052 \tabularnewline
36 & 0.016544 & 0.1703 & 0.432537 \tabularnewline
37 & -0.153243 & -1.5777 & 0.058803 \tabularnewline
38 & -0.016478 & -0.1697 & 0.432802 \tabularnewline
39 & -0.032397 & -0.3335 & 0.369691 \tabularnewline
40 & 0.049109 & 0.5056 & 0.307091 \tabularnewline
41 & -0.049932 & -0.5141 & 0.304133 \tabularnewline
42 & -0.08914 & -0.9178 & 0.180416 \tabularnewline
43 & 0.066771 & 0.6875 & 0.246649 \tabularnewline
44 & -0.025742 & -0.265 & 0.395752 \tabularnewline
45 & 0.011153 & 0.1148 & 0.454399 \tabularnewline
46 & 0.069262 & 0.7131 & 0.238678 \tabularnewline
47 & 0.004968 & 0.0511 & 0.479653 \tabularnewline
48 & -0.03074 & -0.3165 & 0.376129 \tabularnewline
49 & -0.131349 & -1.3523 & 0.089575 \tabularnewline
50 & 0.0127 & 0.1308 & 0.448109 \tabularnewline
51 & 0.084545 & 0.8704 & 0.193013 \tabularnewline
52 & 0.072311 & 0.7445 & 0.229114 \tabularnewline
53 & -0.036935 & -0.3803 & 0.352254 \tabularnewline
54 & -0.107877 & -1.1107 & 0.134614 \tabularnewline
55 & 0.030241 & 0.3113 & 0.378075 \tabularnewline
56 & -0.054727 & -0.5635 & 0.287158 \tabularnewline
57 & -0.010966 & -0.1129 & 0.455159 \tabularnewline
58 & -0.087178 & -0.8976 & 0.185728 \tabularnewline
59 & -0.071932 & -0.7406 & 0.23029 \tabularnewline
60 & 0.037896 & 0.3902 & 0.3486 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=286741&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]0.753565[/C][C]7.7584[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.179436[/C][C]-1.8474[/C][C]0.033739[/C][/ROW]
[ROW][C]3[/C][C]-0.175124[/C][C]-1.803[/C][C]0.037114[/C][/ROW]
[ROW][C]4[/C][C]-0.160069[/C][C]-1.648[/C][C]0.051156[/C][/ROW]
[ROW][C]5[/C][C]-0.001685[/C][C]-0.0173[/C][C]0.493097[/C][/ROW]
[ROW][C]6[/C][C]0.046624[/C][C]0.48[/C][C]0.316102[/C][/ROW]
[ROW][C]7[/C][C]0.121528[/C][C]1.2512[/C][C]0.106806[/C][/ROW]
[ROW][C]8[/C][C]0.147803[/C][C]1.5217[/C][C]0.065528[/C][/ROW]
[ROW][C]9[/C][C]0.135375[/C][C]1.3938[/C][C]0.083151[/C][/ROW]
[ROW][C]10[/C][C]0.249941[/C][C]2.5733[/C][C]0.005728[/C][/ROW]
[ROW][C]11[/C][C]0.378215[/C][C]3.894[/C][C]8.6e-05[/C][/ROW]
[ROW][C]12[/C][C]0.071695[/C][C]0.7381[/C][C]0.231028[/C][/ROW]
[ROW][C]13[/C][C]-0.109103[/C][C]-1.1233[/C][C]0.131927[/C][/ROW]
[ROW][C]14[/C][C]-0.129073[/C][C]-1.3289[/C][C]0.09337[/C][/ROW]
[ROW][C]15[/C][C]-0.000754[/C][C]-0.0078[/C][C]0.49691[/C][/ROW]
[ROW][C]16[/C][C]0.054372[/C][C]0.5598[/C][C]0.2884[/C][/ROW]
[ROW][C]17[/C][C]-0.015814[/C][C]-0.1628[/C][C]0.435488[/C][/ROW]
[ROW][C]18[/C][C]-0.124355[/C][C]-1.2803[/C][C]0.101615[/C][/ROW]
[ROW][C]19[/C][C]-0.072413[/C][C]-0.7455[/C][C]0.228799[/C][/ROW]
[ROW][C]20[/C][C]-0.014184[/C][C]-0.146[/C][C]0.442086[/C][/ROW]
[ROW][C]21[/C][C]-0.062873[/C][C]-0.6473[/C][C]0.259412[/C][/ROW]
[ROW][C]22[/C][C]0.142681[/C][C]1.469[/C][C]0.072399[/C][/ROW]
[ROW][C]23[/C][C]-0.164028[/C][C]-1.6888[/C][C]0.047102[/C][/ROW]
[ROW][C]24[/C][C]0.020137[/C][C]0.2073[/C][C]0.418076[/C][/ROW]
[ROW][C]25[/C][C]0.171291[/C][C]1.7636[/C][C]0.040344[/C][/ROW]
[ROW][C]26[/C][C]-0.212486[/C][C]-2.1877[/C][C]0.015445[/C][/ROW]
[ROW][C]27[/C][C]0.014532[/C][C]0.1496[/C][C]0.440677[/C][/ROW]
[ROW][C]28[/C][C]0.002541[/C][C]0.0262[/C][C]0.489589[/C][/ROW]
[ROW][C]29[/C][C]-0.031044[/C][C]-0.3196[/C][C]0.374945[/C][/ROW]
[ROW][C]30[/C][C]-0.011082[/C][C]-0.1141[/C][C]0.454688[/C][/ROW]
[ROW][C]31[/C][C]0.076949[/C][C]0.7922[/C][C]0.214995[/C][/ROW]
[ROW][C]32[/C][C]-0.042995[/C][C]-0.4427[/C][C]0.329458[/C][/ROW]
[ROW][C]33[/C][C]-0.001569[/C][C]-0.0162[/C][C]0.493571[/C][/ROW]
[ROW][C]34[/C][C]0.02688[/C][C]0.2767[/C][C]0.391256[/C][/ROW]
[ROW][C]35[/C][C]0.093464[/C][C]0.9623[/C][C]0.169052[/C][/ROW]
[ROW][C]36[/C][C]0.016544[/C][C]0.1703[/C][C]0.432537[/C][/ROW]
[ROW][C]37[/C][C]-0.153243[/C][C]-1.5777[/C][C]0.058803[/C][/ROW]
[ROW][C]38[/C][C]-0.016478[/C][C]-0.1697[/C][C]0.432802[/C][/ROW]
[ROW][C]39[/C][C]-0.032397[/C][C]-0.3335[/C][C]0.369691[/C][/ROW]
[ROW][C]40[/C][C]0.049109[/C][C]0.5056[/C][C]0.307091[/C][/ROW]
[ROW][C]41[/C][C]-0.049932[/C][C]-0.5141[/C][C]0.304133[/C][/ROW]
[ROW][C]42[/C][C]-0.08914[/C][C]-0.9178[/C][C]0.180416[/C][/ROW]
[ROW][C]43[/C][C]0.066771[/C][C]0.6875[/C][C]0.246649[/C][/ROW]
[ROW][C]44[/C][C]-0.025742[/C][C]-0.265[/C][C]0.395752[/C][/ROW]
[ROW][C]45[/C][C]0.011153[/C][C]0.1148[/C][C]0.454399[/C][/ROW]
[ROW][C]46[/C][C]0.069262[/C][C]0.7131[/C][C]0.238678[/C][/ROW]
[ROW][C]47[/C][C]0.004968[/C][C]0.0511[/C][C]0.479653[/C][/ROW]
[ROW][C]48[/C][C]-0.03074[/C][C]-0.3165[/C][C]0.376129[/C][/ROW]
[ROW][C]49[/C][C]-0.131349[/C][C]-1.3523[/C][C]0.089575[/C][/ROW]
[ROW][C]50[/C][C]0.0127[/C][C]0.1308[/C][C]0.448109[/C][/ROW]
[ROW][C]51[/C][C]0.084545[/C][C]0.8704[/C][C]0.193013[/C][/ROW]
[ROW][C]52[/C][C]0.072311[/C][C]0.7445[/C][C]0.229114[/C][/ROW]
[ROW][C]53[/C][C]-0.036935[/C][C]-0.3803[/C][C]0.352254[/C][/ROW]
[ROW][C]54[/C][C]-0.107877[/C][C]-1.1107[/C][C]0.134614[/C][/ROW]
[ROW][C]55[/C][C]0.030241[/C][C]0.3113[/C][C]0.378075[/C][/ROW]
[ROW][C]56[/C][C]-0.054727[/C][C]-0.5635[/C][C]0.287158[/C][/ROW]
[ROW][C]57[/C][C]-0.010966[/C][C]-0.1129[/C][C]0.455159[/C][/ROW]
[ROW][C]58[/C][C]-0.087178[/C][C]-0.8976[/C][C]0.185728[/C][/ROW]
[ROW][C]59[/C][C]-0.071932[/C][C]-0.7406[/C][C]0.23029[/C][/ROW]
[ROW][C]60[/C][C]0.037896[/C][C]0.3902[/C][C]0.3486[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=286741&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=286741&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
10.7535657.75840
2-0.179436-1.84740.033739
3-0.175124-1.8030.037114
4-0.160069-1.6480.051156
5-0.001685-0.01730.493097
60.0466240.480.316102
70.1215281.25120.106806
80.1478031.52170.065528
90.1353751.39380.083151
100.2499412.57330.005728
110.3782153.8948.6e-05
120.0716950.73810.231028
13-0.109103-1.12330.131927
14-0.129073-1.32890.09337
15-0.000754-0.00780.49691
160.0543720.55980.2884
17-0.015814-0.16280.435488
18-0.124355-1.28030.101615
19-0.072413-0.74550.228799
20-0.014184-0.1460.442086
21-0.062873-0.64730.259412
220.1426811.4690.072399
23-0.164028-1.68880.047102
240.0201370.20730.418076
250.1712911.76360.040344
26-0.212486-2.18770.015445
270.0145320.14960.440677
280.0025410.02620.489589
29-0.031044-0.31960.374945
30-0.011082-0.11410.454688
310.0769490.79220.214995
32-0.042995-0.44270.329458
33-0.001569-0.01620.493571
340.026880.27670.391256
350.0934640.96230.169052
360.0165440.17030.432537
37-0.153243-1.57770.058803
38-0.016478-0.16970.432802
39-0.032397-0.33350.369691
400.0491090.50560.307091
41-0.049932-0.51410.304133
42-0.08914-0.91780.180416
430.0667710.68750.246649
44-0.025742-0.2650.395752
450.0111530.11480.454399
460.0692620.71310.238678
470.0049680.05110.479653
48-0.03074-0.31650.376129
49-0.131349-1.35230.089575
500.01270.13080.448109
510.0845450.87040.193013
520.0723110.74450.229114
53-0.036935-0.38030.352254
54-0.107877-1.11070.134614
550.0302410.31130.378075
56-0.054727-0.56350.287158
57-0.010966-0.11290.455159
58-0.087178-0.89760.185728
59-0.071932-0.74060.23029
600.0378960.39020.3486



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