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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 computationTue, 15 Aug 2017 15:39:18 +0200
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/15/t15028043900iguev1l3l0vmpo.htm/, Retrieved Mon, 20 May 2024 00:33:20 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307281, Retrieved Mon, 20 May 2024 00:33:20 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact110

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2017-08-15 13:39:18] [b5765487180b26865894987d1ded8bd3] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
64 800
62 400
66 000
52 800
68 400
67 200
72 000
74 400
82 800
72 000
68 400
85 200
72 000
54 000
63 600
48 000
67 200
55 200
73 200
66 000
69 600
78 000
76 800
91 200
66 000
55 200
61 200
44 400
63 600
49 200
69 600
66 000
58 800
84 000
75 600
86 400
64 800
60 000
54 000
44 400
58 800
52 800
72 000
69 600
60 000
80 400
74 400
96 000
76 800
46 800
46 800
46 800
55 200
55 200
74 400
68 400
61 200
76 800
70 800
102 000
80 400
46 800
49 200
40 800
56 400
64 800
81 600
80 400
64 800
75 600
67 200
96 000
73 200
58 800
52 800
39 600
58 800
70 800
82 800
78 000
57 600
82 800
64 800
99 600
82 800
60 000
55 200
37 200
58 800
56 400
85 200
85 200
64 800
84 000
62 400
97 200
82 800
61 200
46 800
32 400
63 600
61 200
80 400
92 400
68 400
76 800
57 600
99 600

Tables (Output of Computation)





Summary of computational transaction
Raw Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time2 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307281&T=0

[TABLE]
[ROW]
Summary of computational transaction[/C][/ROW] [ROW]Raw Input[/C] view raw input (R code) [/C][/ROW] [ROW]Raw Output[/C]view raw output of R engine [/C][/ROW] [ROW]Computing time[/C]2 seconds[/C][/ROW] [ROW]R Server[/C]Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307281&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307281&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 Input view raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R ServerBig Analytics Cloud Computing Center






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.3366633.49870.00034
20.1690571.75690.040885
3-0.231794-2.40890.008847
4-0.382786-3.9786.3e-05
5-0.131504-1.36660.087291
6-0.338556-3.51840.000318
7-0.077437-0.80480.211365
8-0.354641-3.68550.000179
9-0.217904-2.26450.012769
100.1332671.3850.084461
110.2916383.03080.001527
120.8222228.54480
130.3196633.3220.00061
140.1907961.98280.024964
15-0.211977-2.20290.014862
16-0.378625-3.93487.4e-05
17-0.123426-1.28270.101174
18-0.302499-3.14370.001077
19-0.043995-0.45720.324218
20-0.271734-2.82390.002825
21-0.181085-1.88190.031272
220.0873580.90790.182989
230.2164872.24980.013245
240.6656696.91780
250.3163773.28790.000681
260.1924622.00010.023999
27-0.183063-1.90240.029888
28-0.350358-3.6410.000209
29-0.149914-1.5580.061085
30-0.275068-2.85860.002554
31-0.051083-0.53090.2983
32-0.201543-2.09450.019277
33-0.129517-1.3460.090563
340.0787830.81870.207368
350.1585861.64810.051122
360.5565235.78360
370.2772762.88150.002387
380.1359251.41260.080328
39-0.145191-1.50890.067126
40-0.305425-3.17410.000979
41-0.164851-1.71320.044774
42-0.271741-2.8240.002824
43-0.027706-0.28790.386977
44-0.12626-1.31210.096129
45-0.073662-0.76550.222816
460.0708820.73660.231473
470.108351.1260.131329
480.4221874.38751.3e-05
490.1979372.0570.021047
500.1053831.09520.13794
51-0.094964-0.98690.162951
52-0.259374-2.69550.004077
53-0.126869-1.31850.095069
54-0.240549-2.49990.006964
55-0.022641-0.23530.407212
56-0.096653-1.00450.158703
57-0.044129-0.45860.32372
580.07720.80230.212074
590.0735410.76430.22319
600.3065823.18610.000943

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.336663 & 3.4987 & 0.00034 \tabularnewline
2 & 0.169057 & 1.7569 & 0.040885 \tabularnewline
3 & -0.231794 & -2.4089 & 0.008847 \tabularnewline
4 & -0.382786 & -3.978 & 6.3e-05 \tabularnewline
5 & -0.131504 & -1.3666 & 0.087291 \tabularnewline
6 & -0.338556 & -3.5184 & 0.000318 \tabularnewline
7 & -0.077437 & -0.8048 & 0.211365 \tabularnewline
8 & -0.354641 & -3.6855 & 0.000179 \tabularnewline
9 & -0.217904 & -2.2645 & 0.012769 \tabularnewline
10 & 0.133267 & 1.385 & 0.084461 \tabularnewline
11 & 0.291638 & 3.0308 & 0.001527 \tabularnewline
12 & 0.822222 & 8.5448 & 0 \tabularnewline
13 & 0.319663 & 3.322 & 0.00061 \tabularnewline
14 & 0.190796 & 1.9828 & 0.024964 \tabularnewline
15 & -0.211977 & -2.2029 & 0.014862 \tabularnewline
16 & -0.378625 & -3.9348 & 7.4e-05 \tabularnewline
17 & -0.123426 & -1.2827 & 0.101174 \tabularnewline
18 & -0.302499 & -3.1437 & 0.001077 \tabularnewline
19 & -0.043995 & -0.4572 & 0.324218 \tabularnewline
20 & -0.271734 & -2.8239 & 0.002825 \tabularnewline
21 & -0.181085 & -1.8819 & 0.031272 \tabularnewline
22 & 0.087358 & 0.9079 & 0.182989 \tabularnewline
23 & 0.216487 & 2.2498 & 0.013245 \tabularnewline
24 & 0.665669 & 6.9178 & 0 \tabularnewline
25 & 0.316377 & 3.2879 & 0.000681 \tabularnewline
26 & 0.192462 & 2.0001 & 0.023999 \tabularnewline
27 & -0.183063 & -1.9024 & 0.029888 \tabularnewline
28 & -0.350358 & -3.641 & 0.000209 \tabularnewline
29 & -0.149914 & -1.558 & 0.061085 \tabularnewline
30 & -0.275068 & -2.8586 & 0.002554 \tabularnewline
31 & -0.051083 & -0.5309 & 0.2983 \tabularnewline
32 & -0.201543 & -2.0945 & 0.019277 \tabularnewline
33 & -0.129517 & -1.346 & 0.090563 \tabularnewline
34 & 0.078783 & 0.8187 & 0.207368 \tabularnewline
35 & 0.158586 & 1.6481 & 0.051122 \tabularnewline
36 & 0.556523 & 5.7836 & 0 \tabularnewline
37 & 0.277276 & 2.8815 & 0.002387 \tabularnewline
38 & 0.135925 & 1.4126 & 0.080328 \tabularnewline
39 & -0.145191 & -1.5089 & 0.067126 \tabularnewline
40 & -0.305425 & -3.1741 & 0.000979 \tabularnewline
41 & -0.164851 & -1.7132 & 0.044774 \tabularnewline
42 & -0.271741 & -2.824 & 0.002824 \tabularnewline
43 & -0.027706 & -0.2879 & 0.386977 \tabularnewline
44 & -0.12626 & -1.3121 & 0.096129 \tabularnewline
45 & -0.073662 & -0.7655 & 0.222816 \tabularnewline
46 & 0.070882 & 0.7366 & 0.231473 \tabularnewline
47 & 0.10835 & 1.126 & 0.131329 \tabularnewline
48 & 0.422187 & 4.3875 & 1.3e-05 \tabularnewline
49 & 0.197937 & 2.057 & 0.021047 \tabularnewline
50 & 0.105383 & 1.0952 & 0.13794 \tabularnewline
51 & -0.094964 & -0.9869 & 0.162951 \tabularnewline
52 & -0.259374 & -2.6955 & 0.004077 \tabularnewline
53 & -0.126869 & -1.3185 & 0.095069 \tabularnewline
54 & -0.240549 & -2.4999 & 0.006964 \tabularnewline
55 & -0.022641 & -0.2353 & 0.407212 \tabularnewline
56 & -0.096653 & -1.0045 & 0.158703 \tabularnewline
57 & -0.044129 & -0.4586 & 0.32372 \tabularnewline
58 & 0.0772 & 0.8023 & 0.212074 \tabularnewline
59 & 0.073541 & 0.7643 & 0.22319 \tabularnewline
60 & 0.306582 & 3.1861 & 0.000943 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307281&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]0.336663[/C][C]3.4987[/C][C]0.00034[/C][/ROW]
[ROW][C]2[/C][C]0.169057[/C][C]1.7569[/C][C]0.040885[/C][/ROW]
[ROW][C]3[/C][C]-0.231794[/C][C]-2.4089[/C][C]0.008847[/C][/ROW]
[ROW][C]4[/C][C]-0.382786[/C][C]-3.978[/C][C]6.3e-05[/C][/ROW]
[ROW][C]5[/C][C]-0.131504[/C][C]-1.3666[/C][C]0.087291[/C][/ROW]
[ROW][C]6[/C][C]-0.338556[/C][C]-3.5184[/C][C]0.000318[/C][/ROW]
[ROW][C]7[/C][C]-0.077437[/C][C]-0.8048[/C][C]0.211365[/C][/ROW]
[ROW][C]8[/C][C]-0.354641[/C][C]-3.6855[/C][C]0.000179[/C][/ROW]
[ROW][C]9[/C][C]-0.217904[/C][C]-2.2645[/C][C]0.012769[/C][/ROW]
[ROW][C]10[/C][C]0.133267[/C][C]1.385[/C][C]0.084461[/C][/ROW]
[ROW][C]11[/C][C]0.291638[/C][C]3.0308[/C][C]0.001527[/C][/ROW]
[ROW][C]12[/C][C]0.822222[/C][C]8.5448[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.319663[/C][C]3.322[/C][C]0.00061[/C][/ROW]
[ROW][C]14[/C][C]0.190796[/C][C]1.9828[/C][C]0.024964[/C][/ROW]
[ROW][C]15[/C][C]-0.211977[/C][C]-2.2029[/C][C]0.014862[/C][/ROW]
[ROW][C]16[/C][C]-0.378625[/C][C]-3.9348[/C][C]7.4e-05[/C][/ROW]
[ROW][C]17[/C][C]-0.123426[/C][C]-1.2827[/C][C]0.101174[/C][/ROW]
[ROW][C]18[/C][C]-0.302499[/C][C]-3.1437[/C][C]0.001077[/C][/ROW]
[ROW][C]19[/C][C]-0.043995[/C][C]-0.4572[/C][C]0.324218[/C][/ROW]
[ROW][C]20[/C][C]-0.271734[/C][C]-2.8239[/C][C]0.002825[/C][/ROW]
[ROW][C]21[/C][C]-0.181085[/C][C]-1.8819[/C][C]0.031272[/C][/ROW]
[ROW][C]22[/C][C]0.087358[/C][C]0.9079[/C][C]0.182989[/C][/ROW]
[ROW][C]23[/C][C]0.216487[/C][C]2.2498[/C][C]0.013245[/C][/ROW]
[ROW][C]24[/C][C]0.665669[/C][C]6.9178[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]0.316377[/C][C]3.2879[/C][C]0.000681[/C][/ROW]
[ROW][C]26[/C][C]0.192462[/C][C]2.0001[/C][C]0.023999[/C][/ROW]
[ROW][C]27[/C][C]-0.183063[/C][C]-1.9024[/C][C]0.029888[/C][/ROW]
[ROW][C]28[/C][C]-0.350358[/C][C]-3.641[/C][C]0.000209[/C][/ROW]
[ROW][C]29[/C][C]-0.149914[/C][C]-1.558[/C][C]0.061085[/C][/ROW]
[ROW][C]30[/C][C]-0.275068[/C][C]-2.8586[/C][C]0.002554[/C][/ROW]
[ROW][C]31[/C][C]-0.051083[/C][C]-0.5309[/C][C]0.2983[/C][/ROW]
[ROW][C]32[/C][C]-0.201543[/C][C]-2.0945[/C][C]0.019277[/C][/ROW]
[ROW][C]33[/C][C]-0.129517[/C][C]-1.346[/C][C]0.090563[/C][/ROW]
[ROW][C]34[/C][C]0.078783[/C][C]0.8187[/C][C]0.207368[/C][/ROW]
[ROW][C]35[/C][C]0.158586[/C][C]1.6481[/C][C]0.051122[/C][/ROW]
[ROW][C]36[/C][C]0.556523[/C][C]5.7836[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]0.277276[/C][C]2.8815[/C][C]0.002387[/C][/ROW]
[ROW][C]38[/C][C]0.135925[/C][C]1.4126[/C][C]0.080328[/C][/ROW]
[ROW][C]39[/C][C]-0.145191[/C][C]-1.5089[/C][C]0.067126[/C][/ROW]
[ROW][C]40[/C][C]-0.305425[/C][C]-3.1741[/C][C]0.000979[/C][/ROW]
[ROW][C]41[/C][C]-0.164851[/C][C]-1.7132[/C][C]0.044774[/C][/ROW]
[ROW][C]42[/C][C]-0.271741[/C][C]-2.824[/C][C]0.002824[/C][/ROW]
[ROW][C]43[/C][C]-0.027706[/C][C]-0.2879[/C][C]0.386977[/C][/ROW]
[ROW][C]44[/C][C]-0.12626[/C][C]-1.3121[/C][C]0.096129[/C][/ROW]
[ROW][C]45[/C][C]-0.073662[/C][C]-0.7655[/C][C]0.222816[/C][/ROW]
[ROW][C]46[/C][C]0.070882[/C][C]0.7366[/C][C]0.231473[/C][/ROW]
[ROW][C]47[/C][C]0.10835[/C][C]1.126[/C][C]0.131329[/C][/ROW]
[ROW][C]48[/C][C]0.422187[/C][C]4.3875[/C][C]1.3e-05[/C][/ROW]
[ROW][C]49[/C][C]0.197937[/C][C]2.057[/C][C]0.021047[/C][/ROW]
[ROW][C]50[/C][C]0.105383[/C][C]1.0952[/C][C]0.13794[/C][/ROW]
[ROW][C]51[/C][C]-0.094964[/C][C]-0.9869[/C][C]0.162951[/C][/ROW]
[ROW][C]52[/C][C]-0.259374[/C][C]-2.6955[/C][C]0.004077[/C][/ROW]
[ROW][C]53[/C][C]-0.126869[/C][C]-1.3185[/C][C]0.095069[/C][/ROW]
[ROW][C]54[/C][C]-0.240549[/C][C]-2.4999[/C][C]0.006964[/C][/ROW]
[ROW][C]55[/C][C]-0.022641[/C][C]-0.2353[/C][C]0.407212[/C][/ROW]
[ROW][C]56[/C][C]-0.096653[/C][C]-1.0045[/C][C]0.158703[/C][/ROW]
[ROW][C]57[/C][C]-0.044129[/C][C]-0.4586[/C][C]0.32372[/C][/ROW]
[ROW][C]58[/C][C]0.0772[/C][C]0.8023[/C][C]0.212074[/C][/ROW]
[ROW][C]59[/C][C]0.073541[/C][C]0.7643[/C][C]0.22319[/C][/ROW]
[ROW][C]60[/C][C]0.306582[/C][C]3.1861[/C][C]0.000943[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307281&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307281&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
10.3366633.49870.00034
20.1690571.75690.040885
3-0.231794-2.40890.008847
4-0.382786-3.9786.3e-05
5-0.131504-1.36660.087291
6-0.338556-3.51840.000318
7-0.077437-0.80480.211365
8-0.354641-3.68550.000179
9-0.217904-2.26450.012769
100.1332671.3850.084461
110.2916383.03080.001527
120.8222228.54480
130.3196633.3220.00061
140.1907961.98280.024964
15-0.211977-2.20290.014862
16-0.378625-3.93487.4e-05
17-0.123426-1.28270.101174
18-0.302499-3.14370.001077
19-0.043995-0.45720.324218
20-0.271734-2.82390.002825
21-0.181085-1.88190.031272
220.0873580.90790.182989
230.2164872.24980.013245
240.6656696.91780
250.3163773.28790.000681
260.1924622.00010.023999
27-0.183063-1.90240.029888
28-0.350358-3.6410.000209
29-0.149914-1.5580.061085
30-0.275068-2.85860.002554
31-0.051083-0.53090.2983
32-0.201543-2.09450.019277
33-0.129517-1.3460.090563
340.0787830.81870.207368
350.1585861.64810.051122
360.5565235.78360
370.2772762.88150.002387
380.1359251.41260.080328
39-0.145191-1.50890.067126
40-0.305425-3.17410.000979
41-0.164851-1.71320.044774
42-0.271741-2.8240.002824
43-0.027706-0.28790.386977
44-0.12626-1.31210.096129
45-0.073662-0.76550.222816
460.0708820.73660.231473
470.108351.1260.131329
480.4221874.38751.3e-05
490.1979372.0570.021047
500.1053831.09520.13794
51-0.094964-0.98690.162951
52-0.259374-2.69550.004077
53-0.126869-1.31850.095069
54-0.240549-2.49990.006964
55-0.022641-0.23530.407212
56-0.096653-1.00450.158703
57-0.044129-0.45860.32372
580.07720.80230.212074
590.0735410.76430.22319
600.3065823.18610.000943






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.3366633.49870.00034
20.0628380.6530.257563
3-0.34681-3.60420.000238
4-0.279258-2.90210.002247
50.2070782.1520.016812
6-0.405723-4.21642.6e-05
7-0.104224-1.08310.140582
8-0.444314-4.61745e-06
9-0.286191-2.97420.001812
100.1599921.66270.049637
110.1236311.28480.100804
120.5711325.93540
13-0.098578-1.02450.153955
14-0.005205-0.05410.47848
150.0266640.27710.391115
16-0.017876-0.18580.426486
170.121991.26780.103805
180.018680.19410.423221
19-0.015145-0.15740.437615
200.1667231.73260.043007
21-0.017057-0.17730.429819
22-0.054664-0.56810.285579
23-0.002629-0.02730.489128
24-0.055508-0.57690.28262
250.1294751.34550.090634
26-0.016448-0.17090.432298
27-0.066876-0.6950.244274
280.0585320.60830.272138
29-0.089156-0.92650.178116
30-0.00381-0.03960.484244
31-0.113289-1.17730.120826
32-0.012498-0.12990.448449
330.1104221.14750.126846
340.0012650.01310.494768
35-0.085369-0.88720.188478
360.0758440.78820.216155
37-0.152474-1.58460.057996
38-0.135011-1.40310.081732
390.0832810.86550.194348
40-0.003349-0.03480.486149
41-0.017896-0.1860.426406
42-0.100266-1.0420.14987
430.0626250.65080.258273
440.0569290.59160.27767
45-0.027336-0.28410.388446
46-0.106976-1.11170.134362
47-0.058908-0.61220.270851
48-0.030833-0.32040.374634
49-0.024852-0.25830.398347
50-0.06522-0.67780.249679
510.023860.2480.402317
520.0291130.30250.381407
530.0505020.52480.300388
54-0.047589-0.49460.310958
55-0.068255-0.70930.239826
56-0.054021-0.56140.287844
570.0055410.05760.477094
580.032110.33370.369627
59-0.000755-0.00780.496877
60-0.107438-1.11650.133337

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.336663 & 3.4987 & 0.00034 \tabularnewline
2 & 0.062838 & 0.653 & 0.257563 \tabularnewline
3 & -0.34681 & -3.6042 & 0.000238 \tabularnewline
4 & -0.279258 & -2.9021 & 0.002247 \tabularnewline
5 & 0.207078 & 2.152 & 0.016812 \tabularnewline
6 & -0.405723 & -4.2164 & 2.6e-05 \tabularnewline
7 & -0.104224 & -1.0831 & 0.140582 \tabularnewline
8 & -0.444314 & -4.6174 & 5e-06 \tabularnewline
9 & -0.286191 & -2.9742 & 0.001812 \tabularnewline
10 & 0.159992 & 1.6627 & 0.049637 \tabularnewline
11 & 0.123631 & 1.2848 & 0.100804 \tabularnewline
12 & 0.571132 & 5.9354 & 0 \tabularnewline
13 & -0.098578 & -1.0245 & 0.153955 \tabularnewline
14 & -0.005205 & -0.0541 & 0.47848 \tabularnewline
15 & 0.026664 & 0.2771 & 0.391115 \tabularnewline
16 & -0.017876 & -0.1858 & 0.426486 \tabularnewline
17 & 0.12199 & 1.2678 & 0.103805 \tabularnewline
18 & 0.01868 & 0.1941 & 0.423221 \tabularnewline
19 & -0.015145 & -0.1574 & 0.437615 \tabularnewline
20 & 0.166723 & 1.7326 & 0.043007 \tabularnewline
21 & -0.017057 & -0.1773 & 0.429819 \tabularnewline
22 & -0.054664 & -0.5681 & 0.285579 \tabularnewline
23 & -0.002629 & -0.0273 & 0.489128 \tabularnewline
24 & -0.055508 & -0.5769 & 0.28262 \tabularnewline
25 & 0.129475 & 1.3455 & 0.090634 \tabularnewline
26 & -0.016448 & -0.1709 & 0.432298 \tabularnewline
27 & -0.066876 & -0.695 & 0.244274 \tabularnewline
28 & 0.058532 & 0.6083 & 0.272138 \tabularnewline
29 & -0.089156 & -0.9265 & 0.178116 \tabularnewline
30 & -0.00381 & -0.0396 & 0.484244 \tabularnewline
31 & -0.113289 & -1.1773 & 0.120826 \tabularnewline
32 & -0.012498 & -0.1299 & 0.448449 \tabularnewline
33 & 0.110422 & 1.1475 & 0.126846 \tabularnewline
34 & 0.001265 & 0.0131 & 0.494768 \tabularnewline
35 & -0.085369 & -0.8872 & 0.188478 \tabularnewline
36 & 0.075844 & 0.7882 & 0.216155 \tabularnewline
37 & -0.152474 & -1.5846 & 0.057996 \tabularnewline
38 & -0.135011 & -1.4031 & 0.081732 \tabularnewline
39 & 0.083281 & 0.8655 & 0.194348 \tabularnewline
40 & -0.003349 & -0.0348 & 0.486149 \tabularnewline
41 & -0.017896 & -0.186 & 0.426406 \tabularnewline
42 & -0.100266 & -1.042 & 0.14987 \tabularnewline
43 & 0.062625 & 0.6508 & 0.258273 \tabularnewline
44 & 0.056929 & 0.5916 & 0.27767 \tabularnewline
45 & -0.027336 & -0.2841 & 0.388446 \tabularnewline
46 & -0.106976 & -1.1117 & 0.134362 \tabularnewline
47 & -0.058908 & -0.6122 & 0.270851 \tabularnewline
48 & -0.030833 & -0.3204 & 0.374634 \tabularnewline
49 & -0.024852 & -0.2583 & 0.398347 \tabularnewline
50 & -0.06522 & -0.6778 & 0.249679 \tabularnewline
51 & 0.02386 & 0.248 & 0.402317 \tabularnewline
52 & 0.029113 & 0.3025 & 0.381407 \tabularnewline
53 & 0.050502 & 0.5248 & 0.300388 \tabularnewline
54 & -0.047589 & -0.4946 & 0.310958 \tabularnewline
55 & -0.068255 & -0.7093 & 0.239826 \tabularnewline
56 & -0.054021 & -0.5614 & 0.287844 \tabularnewline
57 & 0.005541 & 0.0576 & 0.477094 \tabularnewline
58 & 0.03211 & 0.3337 & 0.369627 \tabularnewline
59 & -0.000755 & -0.0078 & 0.496877 \tabularnewline
60 & -0.107438 & -1.1165 & 0.133337 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307281&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]0.336663[/C][C]3.4987[/C][C]0.00034[/C][/ROW]
[ROW][C]2[/C][C]0.062838[/C][C]0.653[/C][C]0.257563[/C][/ROW]
[ROW][C]3[/C][C]-0.34681[/C][C]-3.6042[/C][C]0.000238[/C][/ROW]
[ROW][C]4[/C][C]-0.279258[/C][C]-2.9021[/C][C]0.002247[/C][/ROW]
[ROW][C]5[/C][C]0.207078[/C][C]2.152[/C][C]0.016812[/C][/ROW]
[ROW][C]6[/C][C]-0.405723[/C][C]-4.2164[/C][C]2.6e-05[/C][/ROW]
[ROW][C]7[/C][C]-0.104224[/C][C]-1.0831[/C][C]0.140582[/C][/ROW]
[ROW][C]8[/C][C]-0.444314[/C][C]-4.6174[/C][C]5e-06[/C][/ROW]
[ROW][C]9[/C][C]-0.286191[/C][C]-2.9742[/C][C]0.001812[/C][/ROW]
[ROW][C]10[/C][C]0.159992[/C][C]1.6627[/C][C]0.049637[/C][/ROW]
[ROW][C]11[/C][C]0.123631[/C][C]1.2848[/C][C]0.100804[/C][/ROW]
[ROW][C]12[/C][C]0.571132[/C][C]5.9354[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]-0.098578[/C][C]-1.0245[/C][C]0.153955[/C][/ROW]
[ROW][C]14[/C][C]-0.005205[/C][C]-0.0541[/C][C]0.47848[/C][/ROW]
[ROW][C]15[/C][C]0.026664[/C][C]0.2771[/C][C]0.391115[/C][/ROW]
[ROW][C]16[/C][C]-0.017876[/C][C]-0.1858[/C][C]0.426486[/C][/ROW]
[ROW][C]17[/C][C]0.12199[/C][C]1.2678[/C][C]0.103805[/C][/ROW]
[ROW][C]18[/C][C]0.01868[/C][C]0.1941[/C][C]0.423221[/C][/ROW]
[ROW][C]19[/C][C]-0.015145[/C][C]-0.1574[/C][C]0.437615[/C][/ROW]
[ROW][C]20[/C][C]0.166723[/C][C]1.7326[/C][C]0.043007[/C][/ROW]
[ROW][C]21[/C][C]-0.017057[/C][C]-0.1773[/C][C]0.429819[/C][/ROW]
[ROW][C]22[/C][C]-0.054664[/C][C]-0.5681[/C][C]0.285579[/C][/ROW]
[ROW][C]23[/C][C]-0.002629[/C][C]-0.0273[/C][C]0.489128[/C][/ROW]
[ROW][C]24[/C][C]-0.055508[/C][C]-0.5769[/C][C]0.28262[/C][/ROW]
[ROW][C]25[/C][C]0.129475[/C][C]1.3455[/C][C]0.090634[/C][/ROW]
[ROW][C]26[/C][C]-0.016448[/C][C]-0.1709[/C][C]0.432298[/C][/ROW]
[ROW][C]27[/C][C]-0.066876[/C][C]-0.695[/C][C]0.244274[/C][/ROW]
[ROW][C]28[/C][C]0.058532[/C][C]0.6083[/C][C]0.272138[/C][/ROW]
[ROW][C]29[/C][C]-0.089156[/C][C]-0.9265[/C][C]0.178116[/C][/ROW]
[ROW][C]30[/C][C]-0.00381[/C][C]-0.0396[/C][C]0.484244[/C][/ROW]
[ROW][C]31[/C][C]-0.113289[/C][C]-1.1773[/C][C]0.120826[/C][/ROW]
[ROW][C]32[/C][C]-0.012498[/C][C]-0.1299[/C][C]0.448449[/C][/ROW]
[ROW][C]33[/C][C]0.110422[/C][C]1.1475[/C][C]0.126846[/C][/ROW]
[ROW][C]34[/C][C]0.001265[/C][C]0.0131[/C][C]0.494768[/C][/ROW]
[ROW][C]35[/C][C]-0.085369[/C][C]-0.8872[/C][C]0.188478[/C][/ROW]
[ROW][C]36[/C][C]0.075844[/C][C]0.7882[/C][C]0.216155[/C][/ROW]
[ROW][C]37[/C][C]-0.152474[/C][C]-1.5846[/C][C]0.057996[/C][/ROW]
[ROW][C]38[/C][C]-0.135011[/C][C]-1.4031[/C][C]0.081732[/C][/ROW]
[ROW][C]39[/C][C]0.083281[/C][C]0.8655[/C][C]0.194348[/C][/ROW]
[ROW][C]40[/C][C]-0.003349[/C][C]-0.0348[/C][C]0.486149[/C][/ROW]
[ROW][C]41[/C][C]-0.017896[/C][C]-0.186[/C][C]0.426406[/C][/ROW]
[ROW][C]42[/C][C]-0.100266[/C][C]-1.042[/C][C]0.14987[/C][/ROW]
[ROW][C]43[/C][C]0.062625[/C][C]0.6508[/C][C]0.258273[/C][/ROW]
[ROW][C]44[/C][C]0.056929[/C][C]0.5916[/C][C]0.27767[/C][/ROW]
[ROW][C]45[/C][C]-0.027336[/C][C]-0.2841[/C][C]0.388446[/C][/ROW]
[ROW][C]46[/C][C]-0.106976[/C][C]-1.1117[/C][C]0.134362[/C][/ROW]
[ROW][C]47[/C][C]-0.058908[/C][C]-0.6122[/C][C]0.270851[/C][/ROW]
[ROW][C]48[/C][C]-0.030833[/C][C]-0.3204[/C][C]0.374634[/C][/ROW]
[ROW][C]49[/C][C]-0.024852[/C][C]-0.2583[/C][C]0.398347[/C][/ROW]
[ROW][C]50[/C][C]-0.06522[/C][C]-0.6778[/C][C]0.249679[/C][/ROW]
[ROW][C]51[/C][C]0.02386[/C][C]0.248[/C][C]0.402317[/C][/ROW]
[ROW][C]52[/C][C]0.029113[/C][C]0.3025[/C][C]0.381407[/C][/ROW]
[ROW][C]53[/C][C]0.050502[/C][C]0.5248[/C][C]0.300388[/C][/ROW]
[ROW][C]54[/C][C]-0.047589[/C][C]-0.4946[/C][C]0.310958[/C][/ROW]
[ROW][C]55[/C][C]-0.068255[/C][C]-0.7093[/C][C]0.239826[/C][/ROW]
[ROW][C]56[/C][C]-0.054021[/C][C]-0.5614[/C][C]0.287844[/C][/ROW]
[ROW][C]57[/C][C]0.005541[/C][C]0.0576[/C][C]0.477094[/C][/ROW]
[ROW][C]58[/C][C]0.03211[/C][C]0.3337[/C][C]0.369627[/C][/ROW]
[ROW][C]59[/C][C]-0.000755[/C][C]-0.0078[/C][C]0.496877[/C][/ROW]
[ROW][C]60[/C][C]-0.107438[/C][C]-1.1165[/C][C]0.133337[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307281&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307281&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
10.3366633.49870.00034
20.0628380.6530.257563
3-0.34681-3.60420.000238
4-0.279258-2.90210.002247
50.2070782.1520.016812
6-0.405723-4.21642.6e-05
7-0.104224-1.08310.140582
8-0.444314-4.61745e-06
9-0.286191-2.97420.001812
100.1599921.66270.049637
110.1236311.28480.100804
120.5711325.93540
13-0.098578-1.02450.153955
14-0.005205-0.05410.47848
150.0266640.27710.391115
16-0.017876-0.18580.426486
170.121991.26780.103805
180.018680.19410.423221
19-0.015145-0.15740.437615
200.1667231.73260.043007
21-0.017057-0.17730.429819
22-0.054664-0.56810.285579
23-0.002629-0.02730.489128
24-0.055508-0.57690.28262
250.1294751.34550.090634
26-0.016448-0.17090.432298
27-0.066876-0.6950.244274
280.0585320.60830.272138
29-0.089156-0.92650.178116
30-0.00381-0.03960.484244
31-0.113289-1.17730.120826
32-0.012498-0.12990.448449
330.1104221.14750.126846
340.0012650.01310.494768
35-0.085369-0.88720.188478
360.0758440.78820.216155
37-0.152474-1.58460.057996
38-0.135011-1.40310.081732
390.0832810.86550.194348
40-0.003349-0.03480.486149
41-0.017896-0.1860.426406
42-0.100266-1.0420.14987
430.0626250.65080.258273
440.0569290.59160.27767
45-0.027336-0.28410.388446
46-0.106976-1.11170.134362
47-0.058908-0.61220.270851
48-0.030833-0.32040.374634
49-0.024852-0.25830.398347
50-0.06522-0.67780.249679
510.023860.2480.402317
520.0291130.30250.381407
530.0505020.52480.300388
54-0.047589-0.49460.310958
55-0.068255-0.70930.239826
56-0.054021-0.56140.287844
570.0055410.05760.477094
580.032110.33370.369627
59-0.000755-0.00780.496877
60-0.107438-1.11650.133337


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
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):
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,'ACF(k)',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,'PACF(k)',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')