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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationSun, 25 Dec 2016 13:37:12 +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/2016/Dec/25/t1482673053kbyxjc1kw6gjjs8.htm/, Retrieved Sun, 05 May 2024 21:55:04 +0200
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=, Retrieved Sun, 05 May 2024 21:55:04 +0200
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact0

Tree of Dependent Computations

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
89,8
101,7
92,7
116,2
134,2
153,3
129,7
137,6
158,8
197,1
171,1
184,4
216,6
219,3
184,2
205,3
216,8
219,4
172,1
165,3
178,9
163
116,2
121,8
124,1
125,7
81,8
94,8
121,5
136,3
109,6
120,7
154,1
154,4
153,3
157,3
192,1
223
220,6
221,7
239,2
251,2
238,3
240,6
250,3
256,7
239,2
189,9
155,9
138,4
124,7
119,4
116
124,9
123,4
124,4
135,5
143,6
130,6
116,6
118,2
116,1
106
94,9
97,1
96,8
93,7
91
105,7
112,9
112,1
112,9
127
136,5
130,9
136,3

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 1 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]1 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=0

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

As an alternative you can also use a QR Code:  
QR Code


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

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time1 seconds
R Server'George Udny Yule' @ yule.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.170671.4780.071792
2-0.218388-1.89130.031223
30.0547220.47390.318472
40.6200855.37010
50.0020340.01760.492998
6-0.365251-3.16320.001127
7-0.105204-0.91110.182583
80.4435013.84080.000127
9-0.119626-1.0360.151767
10-0.477152-4.13234.6e-05
11-0.186622-1.61620.055125
120.3172782.74770.003756
13-0.137041-1.18680.119525
14-0.37371-3.23640.000901
15-0.203707-1.76420.040889
160.2558422.21570.014874
17-0.057874-0.50120.308848
18-0.338198-2.92890.002252
19-0.164301-1.42290.079457
200.2120111.83610.035155
21-0.023406-0.20270.419959
22-0.201545-1.74540.042503
23-0.085936-0.74420.229531
240.2337772.02460.023236
250.122461.06050.146153
26-0.086019-0.74490.229317
27-0.021974-0.19030.424795
280.2744562.37690.010006
290.1886471.63370.053253
30-0.0736-0.63740.262905
31-0.039494-0.3420.366642
320.1657871.43580.077615
330.1356141.17450.121964
34-0.058772-0.5090.30613
35-0.089472-0.77490.220431
360.1145240.99180.16224
370.0843180.73020.233767
38-0.122497-1.06090.146081
39-0.121066-1.04850.148896
400.0759550.65780.256343
410.104040.9010.185234
42-0.089031-0.7710.221555
43-0.110631-0.95810.170546
440.0333330.28870.386816
450.0354470.3070.379854
46-0.114499-0.99160.162292
47-0.093211-0.80720.211042
480.0568390.49220.311993

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.17067 & 1.478 & 0.071792 \tabularnewline
2 & -0.218388 & -1.8913 & 0.031223 \tabularnewline
3 & 0.054722 & 0.4739 & 0.318472 \tabularnewline
4 & 0.620085 & 5.3701 & 0 \tabularnewline
5 & 0.002034 & 0.0176 & 0.492998 \tabularnewline
6 & -0.365251 & -3.1632 & 0.001127 \tabularnewline
7 & -0.105204 & -0.9111 & 0.182583 \tabularnewline
8 & 0.443501 & 3.8408 & 0.000127 \tabularnewline
9 & -0.119626 & -1.036 & 0.151767 \tabularnewline
10 & -0.477152 & -4.1323 & 4.6e-05 \tabularnewline
11 & -0.186622 & -1.6162 & 0.055125 \tabularnewline
12 & 0.317278 & 2.7477 & 0.003756 \tabularnewline
13 & -0.137041 & -1.1868 & 0.119525 \tabularnewline
14 & -0.37371 & -3.2364 & 0.000901 \tabularnewline
15 & -0.203707 & -1.7642 & 0.040889 \tabularnewline
16 & 0.255842 & 2.2157 & 0.014874 \tabularnewline
17 & -0.057874 & -0.5012 & 0.308848 \tabularnewline
18 & -0.338198 & -2.9289 & 0.002252 \tabularnewline
19 & -0.164301 & -1.4229 & 0.079457 \tabularnewline
20 & 0.212011 & 1.8361 & 0.035155 \tabularnewline
21 & -0.023406 & -0.2027 & 0.419959 \tabularnewline
22 & -0.201545 & -1.7454 & 0.042503 \tabularnewline
23 & -0.085936 & -0.7442 & 0.229531 \tabularnewline
24 & 0.233777 & 2.0246 & 0.023236 \tabularnewline
25 & 0.12246 & 1.0605 & 0.146153 \tabularnewline
26 & -0.086019 & -0.7449 & 0.229317 \tabularnewline
27 & -0.021974 & -0.1903 & 0.424795 \tabularnewline
28 & 0.274456 & 2.3769 & 0.010006 \tabularnewline
29 & 0.188647 & 1.6337 & 0.053253 \tabularnewline
30 & -0.0736 & -0.6374 & 0.262905 \tabularnewline
31 & -0.039494 & -0.342 & 0.366642 \tabularnewline
32 & 0.165787 & 1.4358 & 0.077615 \tabularnewline
33 & 0.135614 & 1.1745 & 0.121964 \tabularnewline
34 & -0.058772 & -0.509 & 0.30613 \tabularnewline
35 & -0.089472 & -0.7749 & 0.220431 \tabularnewline
36 & 0.114524 & 0.9918 & 0.16224 \tabularnewline
37 & 0.084318 & 0.7302 & 0.233767 \tabularnewline
38 & -0.122497 & -1.0609 & 0.146081 \tabularnewline
39 & -0.121066 & -1.0485 & 0.148896 \tabularnewline
40 & 0.075955 & 0.6578 & 0.256343 \tabularnewline
41 & 0.10404 & 0.901 & 0.185234 \tabularnewline
42 & -0.089031 & -0.771 & 0.221555 \tabularnewline
43 & -0.110631 & -0.9581 & 0.170546 \tabularnewline
44 & 0.033333 & 0.2887 & 0.386816 \tabularnewline
45 & 0.035447 & 0.307 & 0.379854 \tabularnewline
46 & -0.114499 & -0.9916 & 0.162292 \tabularnewline
47 & -0.093211 & -0.8072 & 0.211042 \tabularnewline
48 & 0.056839 & 0.4922 & 0.311993 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=1

[TABLE]
[ROW][C]Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]ACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.17067[/C][C]1.478[/C][C]0.071792[/C][/ROW]
[ROW][C]2[/C][C]-0.218388[/C][C]-1.8913[/C][C]0.031223[/C][/ROW]
[ROW][C]3[/C][C]0.054722[/C][C]0.4739[/C][C]0.318472[/C][/ROW]
[ROW][C]4[/C][C]0.620085[/C][C]5.3701[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.002034[/C][C]0.0176[/C][C]0.492998[/C][/ROW]
[ROW][C]6[/C][C]-0.365251[/C][C]-3.1632[/C][C]0.001127[/C][/ROW]
[ROW][C]7[/C][C]-0.105204[/C][C]-0.9111[/C][C]0.182583[/C][/ROW]
[ROW][C]8[/C][C]0.443501[/C][C]3.8408[/C][C]0.000127[/C][/ROW]
[ROW][C]9[/C][C]-0.119626[/C][C]-1.036[/C][C]0.151767[/C][/ROW]
[ROW][C]10[/C][C]-0.477152[/C][C]-4.1323[/C][C]4.6e-05[/C][/ROW]
[ROW][C]11[/C][C]-0.186622[/C][C]-1.6162[/C][C]0.055125[/C][/ROW]
[ROW][C]12[/C][C]0.317278[/C][C]2.7477[/C][C]0.003756[/C][/ROW]
[ROW][C]13[/C][C]-0.137041[/C][C]-1.1868[/C][C]0.119525[/C][/ROW]
[ROW][C]14[/C][C]-0.37371[/C][C]-3.2364[/C][C]0.000901[/C][/ROW]
[ROW][C]15[/C][C]-0.203707[/C][C]-1.7642[/C][C]0.040889[/C][/ROW]
[ROW][C]16[/C][C]0.255842[/C][C]2.2157[/C][C]0.014874[/C][/ROW]
[ROW][C]17[/C][C]-0.057874[/C][C]-0.5012[/C][C]0.308848[/C][/ROW]
[ROW][C]18[/C][C]-0.338198[/C][C]-2.9289[/C][C]0.002252[/C][/ROW]
[ROW][C]19[/C][C]-0.164301[/C][C]-1.4229[/C][C]0.079457[/C][/ROW]
[ROW][C]20[/C][C]0.212011[/C][C]1.8361[/C][C]0.035155[/C][/ROW]
[ROW][C]21[/C][C]-0.023406[/C][C]-0.2027[/C][C]0.419959[/C][/ROW]
[ROW][C]22[/C][C]-0.201545[/C][C]-1.7454[/C][C]0.042503[/C][/ROW]
[ROW][C]23[/C][C]-0.085936[/C][C]-0.7442[/C][C]0.229531[/C][/ROW]
[ROW][C]24[/C][C]0.233777[/C][C]2.0246[/C][C]0.023236[/C][/ROW]
[ROW][C]25[/C][C]0.12246[/C][C]1.0605[/C][C]0.146153[/C][/ROW]
[ROW][C]26[/C][C]-0.086019[/C][C]-0.7449[/C][C]0.229317[/C][/ROW]
[ROW][C]27[/C][C]-0.021974[/C][C]-0.1903[/C][C]0.424795[/C][/ROW]
[ROW][C]28[/C][C]0.274456[/C][C]2.3769[/C][C]0.010006[/C][/ROW]
[ROW][C]29[/C][C]0.188647[/C][C]1.6337[/C][C]0.053253[/C][/ROW]
[ROW][C]30[/C][C]-0.0736[/C][C]-0.6374[/C][C]0.262905[/C][/ROW]
[ROW][C]31[/C][C]-0.039494[/C][C]-0.342[/C][C]0.366642[/C][/ROW]
[ROW][C]32[/C][C]0.165787[/C][C]1.4358[/C][C]0.077615[/C][/ROW]
[ROW][C]33[/C][C]0.135614[/C][C]1.1745[/C][C]0.121964[/C][/ROW]
[ROW][C]34[/C][C]-0.058772[/C][C]-0.509[/C][C]0.30613[/C][/ROW]
[ROW][C]35[/C][C]-0.089472[/C][C]-0.7749[/C][C]0.220431[/C][/ROW]
[ROW][C]36[/C][C]0.114524[/C][C]0.9918[/C][C]0.16224[/C][/ROW]
[ROW][C]37[/C][C]0.084318[/C][C]0.7302[/C][C]0.233767[/C][/ROW]
[ROW][C]38[/C][C]-0.122497[/C][C]-1.0609[/C][C]0.146081[/C][/ROW]
[ROW][C]39[/C][C]-0.121066[/C][C]-1.0485[/C][C]0.148896[/C][/ROW]
[ROW][C]40[/C][C]0.075955[/C][C]0.6578[/C][C]0.256343[/C][/ROW]
[ROW][C]41[/C][C]0.10404[/C][C]0.901[/C][C]0.185234[/C][/ROW]
[ROW][C]42[/C][C]-0.089031[/C][C]-0.771[/C][C]0.221555[/C][/ROW]
[ROW][C]43[/C][C]-0.110631[/C][C]-0.9581[/C][C]0.170546[/C][/ROW]
[ROW][C]44[/C][C]0.033333[/C][C]0.2887[/C][C]0.386816[/C][/ROW]
[ROW][C]45[/C][C]0.035447[/C][C]0.307[/C][C]0.379854[/C][/ROW]
[ROW][C]46[/C][C]-0.114499[/C][C]-0.9916[/C][C]0.162292[/C][/ROW]
[ROW][C]47[/C][C]-0.093211[/C][C]-0.8072[/C][C]0.211042[/C][/ROW]
[ROW][C]48[/C][C]0.056839[/C][C]0.4922[/C][C]0.311993[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=1

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

As an alternative you can also use a QR Code:  
QR Code


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

Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.170671.4780.071792
2-0.218388-1.89130.031223
30.0547220.47390.318472
40.6200855.37010
50.0020340.01760.492998
6-0.365251-3.16320.001127
7-0.105204-0.91110.182583
80.4435013.84080.000127
9-0.119626-1.0360.151767
10-0.477152-4.13234.6e-05
11-0.186622-1.61620.055125
120.3172782.74770.003756
13-0.137041-1.18680.119525
14-0.37371-3.23640.000901
15-0.203707-1.76420.040889
160.2558422.21570.014874
17-0.057874-0.50120.308848
18-0.338198-2.92890.002252
19-0.164301-1.42290.079457
200.2120111.83610.035155
21-0.023406-0.20270.419959
22-0.201545-1.74540.042503
23-0.085936-0.74420.229531
240.2337772.02460.023236
250.122461.06050.146153
26-0.086019-0.74490.229317
27-0.021974-0.19030.424795
280.2744562.37690.010006
290.1886471.63370.053253
30-0.0736-0.63740.262905
31-0.039494-0.3420.366642
320.1657871.43580.077615
330.1356141.17450.121964
34-0.058772-0.5090.30613
35-0.089472-0.77490.220431
360.1145240.99180.16224
370.0843180.73020.233767
38-0.122497-1.06090.146081
39-0.121066-1.04850.148896
400.0759550.65780.256343
410.104040.9010.185234
42-0.089031-0.7710.221555
43-0.110631-0.95810.170546
440.0333330.28870.386816
450.0354470.3070.379854
46-0.114499-0.99160.162292
47-0.093211-0.80720.211042
480.0568390.49220.311993






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.170671.4780.071792
2-0.254942-2.20790.015155
30.159741.38340.085324
40.5835.04892e-06
5-0.323242-2.79940.003253
6-0.187395-1.62290.054405
7-0.072838-0.63080.265046
80.1549561.3420.091828
9-0.225164-1.950.027458
10-0.161446-1.39820.083093
11-0.031982-0.2770.391281
12-0.033615-0.29110.385885
13-0.062194-0.53860.295873
140.1282851.1110.135063
15-0.223525-1.93580.028332
16-0.088353-0.76520.22329
170.0791550.68550.24757
18-0.153301-1.32760.094164
19-0.05346-0.4630.322362
20-0.132124-1.14420.128085
21-0.042162-0.36510.358019
220.0546560.47330.318676
23-0.007485-0.06480.474246
240.0037350.03230.487142
250.0663650.57470.283594
26-0.049067-0.42490.336052
270.0491270.42550.335862
280.0402090.34820.364324
290.0360470.31220.377888
30-0.164771-1.4270.078871
31-0.006914-0.05990.476205
32-0.005195-0.0450.482118
33-0.071189-0.61650.26971
340.1383471.19810.117322
350.0070810.06130.475633
36-0.02795-0.24210.404699
37-0.026223-0.22710.410484
38-0.011086-0.0960.461884
390.0027670.0240.490472
400.0355860.30820.379399
410.0800420.69320.245168
42-0.023254-0.20140.42047
430.0108560.0940.462673
440.0257880.22330.411944
45-0.154483-1.33790.092492
460.0605270.52420.30085
470.1059990.9180.180786
48-0.030306-0.26250.396843

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.17067 & 1.478 & 0.071792 \tabularnewline
2 & -0.254942 & -2.2079 & 0.015155 \tabularnewline
3 & 0.15974 & 1.3834 & 0.085324 \tabularnewline
4 & 0.583 & 5.0489 & 2e-06 \tabularnewline
5 & -0.323242 & -2.7994 & 0.003253 \tabularnewline
6 & -0.187395 & -1.6229 & 0.054405 \tabularnewline
7 & -0.072838 & -0.6308 & 0.265046 \tabularnewline
8 & 0.154956 & 1.342 & 0.091828 \tabularnewline
9 & -0.225164 & -1.95 & 0.027458 \tabularnewline
10 & -0.161446 & -1.3982 & 0.083093 \tabularnewline
11 & -0.031982 & -0.277 & 0.391281 \tabularnewline
12 & -0.033615 & -0.2911 & 0.385885 \tabularnewline
13 & -0.062194 & -0.5386 & 0.295873 \tabularnewline
14 & 0.128285 & 1.111 & 0.135063 \tabularnewline
15 & -0.223525 & -1.9358 & 0.028332 \tabularnewline
16 & -0.088353 & -0.7652 & 0.22329 \tabularnewline
17 & 0.079155 & 0.6855 & 0.24757 \tabularnewline
18 & -0.153301 & -1.3276 & 0.094164 \tabularnewline
19 & -0.05346 & -0.463 & 0.322362 \tabularnewline
20 & -0.132124 & -1.1442 & 0.128085 \tabularnewline
21 & -0.042162 & -0.3651 & 0.358019 \tabularnewline
22 & 0.054656 & 0.4733 & 0.318676 \tabularnewline
23 & -0.007485 & -0.0648 & 0.474246 \tabularnewline
24 & 0.003735 & 0.0323 & 0.487142 \tabularnewline
25 & 0.066365 & 0.5747 & 0.283594 \tabularnewline
26 & -0.049067 & -0.4249 & 0.336052 \tabularnewline
27 & 0.049127 & 0.4255 & 0.335862 \tabularnewline
28 & 0.040209 & 0.3482 & 0.364324 \tabularnewline
29 & 0.036047 & 0.3122 & 0.377888 \tabularnewline
30 & -0.164771 & -1.427 & 0.078871 \tabularnewline
31 & -0.006914 & -0.0599 & 0.476205 \tabularnewline
32 & -0.005195 & -0.045 & 0.482118 \tabularnewline
33 & -0.071189 & -0.6165 & 0.26971 \tabularnewline
34 & 0.138347 & 1.1981 & 0.117322 \tabularnewline
35 & 0.007081 & 0.0613 & 0.475633 \tabularnewline
36 & -0.02795 & -0.2421 & 0.404699 \tabularnewline
37 & -0.026223 & -0.2271 & 0.410484 \tabularnewline
38 & -0.011086 & -0.096 & 0.461884 \tabularnewline
39 & 0.002767 & 0.024 & 0.490472 \tabularnewline
40 & 0.035586 & 0.3082 & 0.379399 \tabularnewline
41 & 0.080042 & 0.6932 & 0.245168 \tabularnewline
42 & -0.023254 & -0.2014 & 0.42047 \tabularnewline
43 & 0.010856 & 0.094 & 0.462673 \tabularnewline
44 & 0.025788 & 0.2233 & 0.411944 \tabularnewline
45 & -0.154483 & -1.3379 & 0.092492 \tabularnewline
46 & 0.060527 & 0.5242 & 0.30085 \tabularnewline
47 & 0.105999 & 0.918 & 0.180786 \tabularnewline
48 & -0.030306 & -0.2625 & 0.396843 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=&T=2

[TABLE]
[ROW][C]Partial Autocorrelation Function[/C][/ROW]
[ROW][C]Time lag k[/C][C]PACF(k)[/C][C]T-STAT[/C][C]P-value[/C][/ROW]
[ROW][C]1[/C][C]0.17067[/C][C]1.478[/C][C]0.071792[/C][/ROW]
[ROW][C]2[/C][C]-0.254942[/C][C]-2.2079[/C][C]0.015155[/C][/ROW]
[ROW][C]3[/C][C]0.15974[/C][C]1.3834[/C][C]0.085324[/C][/ROW]
[ROW][C]4[/C][C]0.583[/C][C]5.0489[/C][C]2e-06[/C][/ROW]
[ROW][C]5[/C][C]-0.323242[/C][C]-2.7994[/C][C]0.003253[/C][/ROW]
[ROW][C]6[/C][C]-0.187395[/C][C]-1.6229[/C][C]0.054405[/C][/ROW]
[ROW][C]7[/C][C]-0.072838[/C][C]-0.6308[/C][C]0.265046[/C][/ROW]
[ROW][C]8[/C][C]0.154956[/C][C]1.342[/C][C]0.091828[/C][/ROW]
[ROW][C]9[/C][C]-0.225164[/C][C]-1.95[/C][C]0.027458[/C][/ROW]
[ROW][C]10[/C][C]-0.161446[/C][C]-1.3982[/C][C]0.083093[/C][/ROW]
[ROW][C]11[/C][C]-0.031982[/C][C]-0.277[/C][C]0.391281[/C][/ROW]
[ROW][C]12[/C][C]-0.033615[/C][C]-0.2911[/C][C]0.385885[/C][/ROW]
[ROW][C]13[/C][C]-0.062194[/C][C]-0.5386[/C][C]0.295873[/C][/ROW]
[ROW][C]14[/C][C]0.128285[/C][C]1.111[/C][C]0.135063[/C][/ROW]
[ROW][C]15[/C][C]-0.223525[/C][C]-1.9358[/C][C]0.028332[/C][/ROW]
[ROW][C]16[/C][C]-0.088353[/C][C]-0.7652[/C][C]0.22329[/C][/ROW]
[ROW][C]17[/C][C]0.079155[/C][C]0.6855[/C][C]0.24757[/C][/ROW]
[ROW][C]18[/C][C]-0.153301[/C][C]-1.3276[/C][C]0.094164[/C][/ROW]
[ROW][C]19[/C][C]-0.05346[/C][C]-0.463[/C][C]0.322362[/C][/ROW]
[ROW][C]20[/C][C]-0.132124[/C][C]-1.1442[/C][C]0.128085[/C][/ROW]
[ROW][C]21[/C][C]-0.042162[/C][C]-0.3651[/C][C]0.358019[/C][/ROW]
[ROW][C]22[/C][C]0.054656[/C][C]0.4733[/C][C]0.318676[/C][/ROW]
[ROW][C]23[/C][C]-0.007485[/C][C]-0.0648[/C][C]0.474246[/C][/ROW]
[ROW][C]24[/C][C]0.003735[/C][C]0.0323[/C][C]0.487142[/C][/ROW]
[ROW][C]25[/C][C]0.066365[/C][C]0.5747[/C][C]0.283594[/C][/ROW]
[ROW][C]26[/C][C]-0.049067[/C][C]-0.4249[/C][C]0.336052[/C][/ROW]
[ROW][C]27[/C][C]0.049127[/C][C]0.4255[/C][C]0.335862[/C][/ROW]
[ROW][C]28[/C][C]0.040209[/C][C]0.3482[/C][C]0.364324[/C][/ROW]
[ROW][C]29[/C][C]0.036047[/C][C]0.3122[/C][C]0.377888[/C][/ROW]
[ROW][C]30[/C][C]-0.164771[/C][C]-1.427[/C][C]0.078871[/C][/ROW]
[ROW][C]31[/C][C]-0.006914[/C][C]-0.0599[/C][C]0.476205[/C][/ROW]
[ROW][C]32[/C][C]-0.005195[/C][C]-0.045[/C][C]0.482118[/C][/ROW]
[ROW][C]33[/C][C]-0.071189[/C][C]-0.6165[/C][C]0.26971[/C][/ROW]
[ROW][C]34[/C][C]0.138347[/C][C]1.1981[/C][C]0.117322[/C][/ROW]
[ROW][C]35[/C][C]0.007081[/C][C]0.0613[/C][C]0.475633[/C][/ROW]
[ROW][C]36[/C][C]-0.02795[/C][C]-0.2421[/C][C]0.404699[/C][/ROW]
[ROW][C]37[/C][C]-0.026223[/C][C]-0.2271[/C][C]0.410484[/C][/ROW]
[ROW][C]38[/C][C]-0.011086[/C][C]-0.096[/C][C]0.461884[/C][/ROW]
[ROW][C]39[/C][C]0.002767[/C][C]0.024[/C][C]0.490472[/C][/ROW]
[ROW][C]40[/C][C]0.035586[/C][C]0.3082[/C][C]0.379399[/C][/ROW]
[ROW][C]41[/C][C]0.080042[/C][C]0.6932[/C][C]0.245168[/C][/ROW]
[ROW][C]42[/C][C]-0.023254[/C][C]-0.2014[/C][C]0.42047[/C][/ROW]
[ROW][C]43[/C][C]0.010856[/C][C]0.094[/C][C]0.462673[/C][/ROW]
[ROW][C]44[/C][C]0.025788[/C][C]0.2233[/C][C]0.411944[/C][/ROW]
[ROW][C]45[/C][C]-0.154483[/C][C]-1.3379[/C][C]0.092492[/C][/ROW]
[ROW][C]46[/C][C]0.060527[/C][C]0.5242[/C][C]0.30085[/C][/ROW]
[ROW][C]47[/C][C]0.105999[/C][C]0.918[/C][C]0.180786[/C][/ROW]
[ROW][C]48[/C][C]-0.030306[/C][C]-0.2625[/C][C]0.396843[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=&T=2

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

As an alternative you can also use a QR Code:  
QR Code


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

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.170671.4780.071792
2-0.254942-2.20790.015155
30.159741.38340.085324
40.5835.04892e-06
5-0.323242-2.79940.003253
6-0.187395-1.62290.054405
7-0.072838-0.63080.265046
80.1549561.3420.091828
9-0.225164-1.950.027458
10-0.161446-1.39820.083093
11-0.031982-0.2770.391281
12-0.033615-0.29110.385885
13-0.062194-0.53860.295873
140.1282851.1110.135063
15-0.223525-1.93580.028332
16-0.088353-0.76520.22329
170.0791550.68550.24757
18-0.153301-1.32760.094164
19-0.05346-0.4630.322362
20-0.132124-1.14420.128085
21-0.042162-0.36510.358019
220.0546560.47330.318676
23-0.007485-0.06480.474246
240.0037350.03230.487142
250.0663650.57470.283594
26-0.049067-0.42490.336052
270.0491270.42550.335862
280.0402090.34820.364324
290.0360470.31220.377888
30-0.164771-1.4270.078871
31-0.006914-0.05990.476205
32-0.005195-0.0450.482118
33-0.071189-0.61650.26971
340.1383471.19810.117322
350.0070810.06130.475633
36-0.02795-0.24210.404699
37-0.026223-0.22710.410484
38-0.011086-0.0960.461884
390.0027670.0240.490472
400.0355860.30820.379399
410.0800420.69320.245168
42-0.023254-0.20140.42047
430.0108560.0940.462673
440.0257880.22330.411944
45-0.154483-1.33790.092492
460.0605270.52420.30085
470.1059990.9180.180786
48-0.030306-0.26250.396843


Figures (Output of Computation)

Input Parameters & R Code

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