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Description of Statistical Computation

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 computationThu, 11 Dec 2008 09:35:54 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2008/Dec/11/t1229013393htnqzepab2v3q0o.htm/, Retrieved Fri, 17 May 2024 04:18:22 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=32336, Retrieved Fri, 17 May 2024 04:18:22 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact190

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Multiple Regression] [] [2007-11-19 20:22:41] [3a1956effdcb54c39e5044435310d6c8]
-    D  [Multiple Regression] [seatbelt_3.2.] [2008-11-23 14:44:53] [922d8ae7bd2fd460a62d9020ccd4931a]
F   PD    [Multiple Regression] [seatbelt3CG2] [2008-11-23 15:00:12] [922d8ae7bd2fd460a62d9020ccd4931a]
-   PD      [Multiple Regression] [dummy] [2008-12-07 12:19:24] [922d8ae7bd2fd460a62d9020ccd4931a]
-    D        [Multiple Regression] [dummy3] [2008-12-11 14:24:38] [922d8ae7bd2fd460a62d9020ccd4931a]
- RMPD          [Standard Deviation-Mean Plot] [lambda] [2008-12-11 16:25:56] [922d8ae7bd2fd460a62d9020ccd4931a]
- RM D            [Variance Reduction Matrix] [denD] [2008-12-11 16:30:20] [922d8ae7bd2fd460a62d9020ccd4931a]
- RMP                 [(Partial) Autocorrelation Function] [autocorrelation] [2008-12-11 16:35:54] [89a49ebb3ece8e9a225c7f9f53a14c57] [Current]
-   P                   [(Partial) Autocorrelation Function] [autocorrelation2] [2008-12-11 16:40:41] [922d8ae7bd2fd460a62d9020ccd4931a]
- RMP                     [Spectral Analysis] [spectrum] [2008-12-11 16:45:17] [922d8ae7bd2fd460a62d9020ccd4931a]
-   P                       [Spectral Analysis] [spectrum2] [2008-12-11 16:48:27] [922d8ae7bd2fd460a62d9020ccd4931a]
- RMP                         [(Partial) Autocorrelation Function] [autocorrelation] [2008-12-11 17:56:59] [922d8ae7bd2fd460a62d9020ccd4931a]
- RMP                           [ARIMA Backward Selection] [ARMAproces] [2008-12-11 18:10:55] [922d8ae7bd2fd460a62d9020ccd4931a]
- RMP                             [ARIMA Forecasting] [ARIMAforecasting] [2008-12-11 18:25:54] [922d8ae7bd2fd460a62d9020ccd4931a]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1375.06
1334.38
1335.61
1307.24
1183.2
1187.79
1270.81
1238.67
1204.45
1178.5
1044.64
1076.59
1129.68
1144.93
1140.21
1100.29
1153.79
1114.2
1079.27
1014.05
903.69
912.55
867.81
854.54
911.17
899.26
895.87
837.61
846.62
890.19
935.96
988
992.55
989.53
1019.44
1038.73
1049.9
1080.64
1132.52
1143.37
1123.98
1133.07
1102.78
1132.76
1105.85
1088.93
1117.66
1118.07
1168.94
1199.21
1181.4
1199.63
1194.9
1164.42
1178.28
1202.25
1222.24
1224.27
1225.91
1191.96
1237.37
1262.07
1278.72
1276.65
1293.83
1302.18
1290
1253.12
1260.24
1287.15
1317.81
1363.38
1388.63
1416.42
1424.16
1444.65
1406.95
1463.65
1511.14
1514.49
1520.98
1454.62
1497.12
1539.66
1463.39
1479.23
1378.76
1354.87
1316.94
1370.47
1403.22
1341.25
1257.33
1281.47
1216.93
969.13
883.04

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'Gwilym Jenkins' @ 72.249.127.135

\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 & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32336&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]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32336&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32336&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'Gwilym Jenkins' @ 72.249.127.135






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.9394319.25230
20.8727588.59570
30.8321488.19570
40.7915617.7960
50.7552257.43810
60.7180247.07170
70.6806426.70350
80.6351856.25590
90.579195.70440
100.5243315.16411e-06
110.4709614.63845e-06
120.4238674.17463.3e-05
130.3731053.67470.000195
140.3318623.26850.000748
150.2877872.83440.002794
160.2414392.37790.009686
170.2007971.97760.025405
180.1612771.58840.057726
190.1240591.22180.112364
200.0839350.82670.205227
210.0501010.49340.311411
220.0287020.28270.389013
230.0082930.08170.467535
24-0.011315-0.11140.455748
25-0.031925-0.31440.376937
26-0.054315-0.53490.296957
27-0.075006-0.73870.230928
28-0.092564-0.91160.182107
29-0.109709-1.08050.141298
30-0.128031-1.2610.105173
31-0.141148-1.39010.083834
32-0.153093-1.50780.067429
33-0.168626-1.66080.049994
34-0.181944-1.79190.03813
35-0.194822-1.91880.028976
36-0.20634-2.03220.022433
37-0.220675-2.17340.016093
38-0.241241-2.3760.009734
39-0.254947-2.51090.006847
40-0.268674-2.64610.00475
41-0.281615-2.77360.003325
42-0.296711-2.92230.002162
43-0.316124-3.11350.001215
44-0.337822-3.32720.00062
45-0.353304-3.47960.000377
46-0.363994-3.58490.000265
47-0.37454-3.68880.000186
48-0.377368-3.71660.000169
49-0.384833-3.79020.000131
50-0.400286-3.94247.6e-05
51-0.409837-4.03645.4e-05
52-0.419515-4.13173.8e-05
53-0.422151-4.15773.5e-05
54-0.416715-4.10424.2e-05
55-0.413761-4.07514.7e-05
56-0.405229-3.9916.4e-05
57-0.393549-3.8769.7e-05
58-0.370607-3.65010.000212
59-0.342483-3.37310.000535
60-0.319294-3.14470.001104

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.939431 & 9.2523 & 0 \tabularnewline
2 & 0.872758 & 8.5957 & 0 \tabularnewline
3 & 0.832148 & 8.1957 & 0 \tabularnewline
4 & 0.791561 & 7.796 & 0 \tabularnewline
5 & 0.755225 & 7.4381 & 0 \tabularnewline
6 & 0.718024 & 7.0717 & 0 \tabularnewline
7 & 0.680642 & 6.7035 & 0 \tabularnewline
8 & 0.635185 & 6.2559 & 0 \tabularnewline
9 & 0.57919 & 5.7044 & 0 \tabularnewline
10 & 0.524331 & 5.1641 & 1e-06 \tabularnewline
11 & 0.470961 & 4.6384 & 5e-06 \tabularnewline
12 & 0.423867 & 4.1746 & 3.3e-05 \tabularnewline
13 & 0.373105 & 3.6747 & 0.000195 \tabularnewline
14 & 0.331862 & 3.2685 & 0.000748 \tabularnewline
15 & 0.287787 & 2.8344 & 0.002794 \tabularnewline
16 & 0.241439 & 2.3779 & 0.009686 \tabularnewline
17 & 0.200797 & 1.9776 & 0.025405 \tabularnewline
18 & 0.161277 & 1.5884 & 0.057726 \tabularnewline
19 & 0.124059 & 1.2218 & 0.112364 \tabularnewline
20 & 0.083935 & 0.8267 & 0.205227 \tabularnewline
21 & 0.050101 & 0.4934 & 0.311411 \tabularnewline
22 & 0.028702 & 0.2827 & 0.389013 \tabularnewline
23 & 0.008293 & 0.0817 & 0.467535 \tabularnewline
24 & -0.011315 & -0.1114 & 0.455748 \tabularnewline
25 & -0.031925 & -0.3144 & 0.376937 \tabularnewline
26 & -0.054315 & -0.5349 & 0.296957 \tabularnewline
27 & -0.075006 & -0.7387 & 0.230928 \tabularnewline
28 & -0.092564 & -0.9116 & 0.182107 \tabularnewline
29 & -0.109709 & -1.0805 & 0.141298 \tabularnewline
30 & -0.128031 & -1.261 & 0.105173 \tabularnewline
31 & -0.141148 & -1.3901 & 0.083834 \tabularnewline
32 & -0.153093 & -1.5078 & 0.067429 \tabularnewline
33 & -0.168626 & -1.6608 & 0.049994 \tabularnewline
34 & -0.181944 & -1.7919 & 0.03813 \tabularnewline
35 & -0.194822 & -1.9188 & 0.028976 \tabularnewline
36 & -0.20634 & -2.0322 & 0.022433 \tabularnewline
37 & -0.220675 & -2.1734 & 0.016093 \tabularnewline
38 & -0.241241 & -2.376 & 0.009734 \tabularnewline
39 & -0.254947 & -2.5109 & 0.006847 \tabularnewline
40 & -0.268674 & -2.6461 & 0.00475 \tabularnewline
41 & -0.281615 & -2.7736 & 0.003325 \tabularnewline
42 & -0.296711 & -2.9223 & 0.002162 \tabularnewline
43 & -0.316124 & -3.1135 & 0.001215 \tabularnewline
44 & -0.337822 & -3.3272 & 0.00062 \tabularnewline
45 & -0.353304 & -3.4796 & 0.000377 \tabularnewline
46 & -0.363994 & -3.5849 & 0.000265 \tabularnewline
47 & -0.37454 & -3.6888 & 0.000186 \tabularnewline
48 & -0.377368 & -3.7166 & 0.000169 \tabularnewline
49 & -0.384833 & -3.7902 & 0.000131 \tabularnewline
50 & -0.400286 & -3.9424 & 7.6e-05 \tabularnewline
51 & -0.409837 & -4.0364 & 5.4e-05 \tabularnewline
52 & -0.419515 & -4.1317 & 3.8e-05 \tabularnewline
53 & -0.422151 & -4.1577 & 3.5e-05 \tabularnewline
54 & -0.416715 & -4.1042 & 4.2e-05 \tabularnewline
55 & -0.413761 & -4.0751 & 4.7e-05 \tabularnewline
56 & -0.405229 & -3.991 & 6.4e-05 \tabularnewline
57 & -0.393549 & -3.876 & 9.7e-05 \tabularnewline
58 & -0.370607 & -3.6501 & 0.000212 \tabularnewline
59 & -0.342483 & -3.3731 & 0.000535 \tabularnewline
60 & -0.319294 & -3.1447 & 0.001104 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32336&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]0.939431[/C][C]9.2523[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.872758[/C][C]8.5957[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.832148[/C][C]8.1957[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.791561[/C][C]7.796[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.755225[/C][C]7.4381[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.718024[/C][C]7.0717[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.680642[/C][C]6.7035[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.635185[/C][C]6.2559[/C][C]0[/C][/ROW]
[ROW][C]9[/C][C]0.57919[/C][C]5.7044[/C][C]0[/C][/ROW]
[ROW][C]10[/C][C]0.524331[/C][C]5.1641[/C][C]1e-06[/C][/ROW]
[ROW][C]11[/C][C]0.470961[/C][C]4.6384[/C][C]5e-06[/C][/ROW]
[ROW][C]12[/C][C]0.423867[/C][C]4.1746[/C][C]3.3e-05[/C][/ROW]
[ROW][C]13[/C][C]0.373105[/C][C]3.6747[/C][C]0.000195[/C][/ROW]
[ROW][C]14[/C][C]0.331862[/C][C]3.2685[/C][C]0.000748[/C][/ROW]
[ROW][C]15[/C][C]0.287787[/C][C]2.8344[/C][C]0.002794[/C][/ROW]
[ROW][C]16[/C][C]0.241439[/C][C]2.3779[/C][C]0.009686[/C][/ROW]
[ROW][C]17[/C][C]0.200797[/C][C]1.9776[/C][C]0.025405[/C][/ROW]
[ROW][C]18[/C][C]0.161277[/C][C]1.5884[/C][C]0.057726[/C][/ROW]
[ROW][C]19[/C][C]0.124059[/C][C]1.2218[/C][C]0.112364[/C][/ROW]
[ROW][C]20[/C][C]0.083935[/C][C]0.8267[/C][C]0.205227[/C][/ROW]
[ROW][C]21[/C][C]0.050101[/C][C]0.4934[/C][C]0.311411[/C][/ROW]
[ROW][C]22[/C][C]0.028702[/C][C]0.2827[/C][C]0.389013[/C][/ROW]
[ROW][C]23[/C][C]0.008293[/C][C]0.0817[/C][C]0.467535[/C][/ROW]
[ROW][C]24[/C][C]-0.011315[/C][C]-0.1114[/C][C]0.455748[/C][/ROW]
[ROW][C]25[/C][C]-0.031925[/C][C]-0.3144[/C][C]0.376937[/C][/ROW]
[ROW][C]26[/C][C]-0.054315[/C][C]-0.5349[/C][C]0.296957[/C][/ROW]
[ROW][C]27[/C][C]-0.075006[/C][C]-0.7387[/C][C]0.230928[/C][/ROW]
[ROW][C]28[/C][C]-0.092564[/C][C]-0.9116[/C][C]0.182107[/C][/ROW]
[ROW][C]29[/C][C]-0.109709[/C][C]-1.0805[/C][C]0.141298[/C][/ROW]
[ROW][C]30[/C][C]-0.128031[/C][C]-1.261[/C][C]0.105173[/C][/ROW]
[ROW][C]31[/C][C]-0.141148[/C][C]-1.3901[/C][C]0.083834[/C][/ROW]
[ROW][C]32[/C][C]-0.153093[/C][C]-1.5078[/C][C]0.067429[/C][/ROW]
[ROW][C]33[/C][C]-0.168626[/C][C]-1.6608[/C][C]0.049994[/C][/ROW]
[ROW][C]34[/C][C]-0.181944[/C][C]-1.7919[/C][C]0.03813[/C][/ROW]
[ROW][C]35[/C][C]-0.194822[/C][C]-1.9188[/C][C]0.028976[/C][/ROW]
[ROW][C]36[/C][C]-0.20634[/C][C]-2.0322[/C][C]0.022433[/C][/ROW]
[ROW][C]37[/C][C]-0.220675[/C][C]-2.1734[/C][C]0.016093[/C][/ROW]
[ROW][C]38[/C][C]-0.241241[/C][C]-2.376[/C][C]0.009734[/C][/ROW]
[ROW][C]39[/C][C]-0.254947[/C][C]-2.5109[/C][C]0.006847[/C][/ROW]
[ROW][C]40[/C][C]-0.268674[/C][C]-2.6461[/C][C]0.00475[/C][/ROW]
[ROW][C]41[/C][C]-0.281615[/C][C]-2.7736[/C][C]0.003325[/C][/ROW]
[ROW][C]42[/C][C]-0.296711[/C][C]-2.9223[/C][C]0.002162[/C][/ROW]
[ROW][C]43[/C][C]-0.316124[/C][C]-3.1135[/C][C]0.001215[/C][/ROW]
[ROW][C]44[/C][C]-0.337822[/C][C]-3.3272[/C][C]0.00062[/C][/ROW]
[ROW][C]45[/C][C]-0.353304[/C][C]-3.4796[/C][C]0.000377[/C][/ROW]
[ROW][C]46[/C][C]-0.363994[/C][C]-3.5849[/C][C]0.000265[/C][/ROW]
[ROW][C]47[/C][C]-0.37454[/C][C]-3.6888[/C][C]0.000186[/C][/ROW]
[ROW][C]48[/C][C]-0.377368[/C][C]-3.7166[/C][C]0.000169[/C][/ROW]
[ROW][C]49[/C][C]-0.384833[/C][C]-3.7902[/C][C]0.000131[/C][/ROW]
[ROW][C]50[/C][C]-0.400286[/C][C]-3.9424[/C][C]7.6e-05[/C][/ROW]
[ROW][C]51[/C][C]-0.409837[/C][C]-4.0364[/C][C]5.4e-05[/C][/ROW]
[ROW][C]52[/C][C]-0.419515[/C][C]-4.1317[/C][C]3.8e-05[/C][/ROW]
[ROW][C]53[/C][C]-0.422151[/C][C]-4.1577[/C][C]3.5e-05[/C][/ROW]
[ROW][C]54[/C][C]-0.416715[/C][C]-4.1042[/C][C]4.2e-05[/C][/ROW]
[ROW][C]55[/C][C]-0.413761[/C][C]-4.0751[/C][C]4.7e-05[/C][/ROW]
[ROW][C]56[/C][C]-0.405229[/C][C]-3.991[/C][C]6.4e-05[/C][/ROW]
[ROW][C]57[/C][C]-0.393549[/C][C]-3.876[/C][C]9.7e-05[/C][/ROW]
[ROW][C]58[/C][C]-0.370607[/C][C]-3.6501[/C][C]0.000212[/C][/ROW]
[ROW][C]59[/C][C]-0.342483[/C][C]-3.3731[/C][C]0.000535[/C][/ROW]
[ROW][C]60[/C][C]-0.319294[/C][C]-3.1447[/C][C]0.001104[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32336&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32336&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
10.9394319.25230
20.8727588.59570
30.8321488.19570
40.7915617.7960
50.7552257.43810
60.7180247.07170
70.6806426.70350
80.6351856.25590
90.579195.70440
100.5243315.16411e-06
110.4709614.63845e-06
120.4238674.17463.3e-05
130.3731053.67470.000195
140.3318623.26850.000748
150.2877872.83440.002794
160.2414392.37790.009686
170.2007971.97760.025405
180.1612771.58840.057726
190.1240591.22180.112364
200.0839350.82670.205227
210.0501010.49340.311411
220.0287020.28270.389013
230.0082930.08170.467535
24-0.011315-0.11140.455748
25-0.031925-0.31440.376937
26-0.054315-0.53490.296957
27-0.075006-0.73870.230928
28-0.092564-0.91160.182107
29-0.109709-1.08050.141298
30-0.128031-1.2610.105173
31-0.141148-1.39010.083834
32-0.153093-1.50780.067429
33-0.168626-1.66080.049994
34-0.181944-1.79190.03813
35-0.194822-1.91880.028976
36-0.20634-2.03220.022433
37-0.220675-2.17340.016093
38-0.241241-2.3760.009734
39-0.254947-2.51090.006847
40-0.268674-2.64610.00475
41-0.281615-2.77360.003325
42-0.296711-2.92230.002162
43-0.316124-3.11350.001215
44-0.337822-3.32720.00062
45-0.353304-3.47960.000377
46-0.363994-3.58490.000265
47-0.37454-3.68880.000186
48-0.377368-3.71660.000169
49-0.384833-3.79020.000131
50-0.400286-3.94247.6e-05
51-0.409837-4.03645.4e-05
52-0.419515-4.13173.8e-05
53-0.422151-4.15773.5e-05
54-0.416715-4.10424.2e-05
55-0.413761-4.07514.7e-05
56-0.405229-3.9916.4e-05
57-0.393549-3.8769.7e-05
58-0.370607-3.65010.000212
59-0.342483-3.37310.000535
60-0.319294-3.14470.001104






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.9394319.25230
2-0.083191-0.81930.207302
30.1902691.87390.031975
4-0.049365-0.48620.313966
50.064980.640.261847
6-0.044109-0.43440.332474
70.0070190.06910.472513
8-0.105219-1.03630.151323
9-0.10055-0.99030.162244
10-0.049408-0.48660.313816
11-0.056871-0.56010.288346
120.0136320.13430.446737
13-0.08672-0.85410.197579
140.0840610.82790.204878
15-0.094461-0.93030.177253
160.0233260.22970.409393
17-0.013706-0.1350.44645
18-0.002307-0.02270.490961
19-0.013312-0.13110.447982
20-0.060544-0.59630.276184
210.0387220.38140.351883
220.0382760.3770.353509
230.017290.17030.432569
24-0.005355-0.05270.479025
25-0.011656-0.11480.45442
26-0.048185-0.47460.318079
270.0011970.01180.49531
28-0.017516-0.17250.431696
29-0.041412-0.40790.342137
30-0.039924-0.39320.347514
310.0037260.03670.4854
32-0.015928-0.15690.437837
33-0.042179-0.41540.339379
340.0070790.06970.472282
35-0.026789-0.26380.396231
36-0.007637-0.07520.4701
37-0.053972-0.53160.298121
38-0.067159-0.66140.254949
390.0200890.19790.421788
40-0.056878-0.56020.288323
410.0078540.07740.46925
42-0.067294-0.66280.254524
43-0.041226-0.4060.342806
44-0.06568-0.64690.259621
450.0350430.34510.365372
46-0.025678-0.25290.40044
47-0.009622-0.09480.462349
480.0506150.49850.309632
49-0.080638-0.79420.21451
50-0.041322-0.4070.342462
51-0.016331-0.16080.436276
52-0.023557-0.2320.408509
530.0097560.09610.461827
540.0281420.27720.391121
55-0.04196-0.41330.340164
560.05140.50620.306921
570.0081450.08020.468112
580.1205621.18740.118986
590.0261660.25770.398591
60-0.014771-0.14550.442318

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.939431 & 9.2523 & 0 \tabularnewline
2 & -0.083191 & -0.8193 & 0.207302 \tabularnewline
3 & 0.190269 & 1.8739 & 0.031975 \tabularnewline
4 & -0.049365 & -0.4862 & 0.313966 \tabularnewline
5 & 0.06498 & 0.64 & 0.261847 \tabularnewline
6 & -0.044109 & -0.4344 & 0.332474 \tabularnewline
7 & 0.007019 & 0.0691 & 0.472513 \tabularnewline
8 & -0.105219 & -1.0363 & 0.151323 \tabularnewline
9 & -0.10055 & -0.9903 & 0.162244 \tabularnewline
10 & -0.049408 & -0.4866 & 0.313816 \tabularnewline
11 & -0.056871 & -0.5601 & 0.288346 \tabularnewline
12 & 0.013632 & 0.1343 & 0.446737 \tabularnewline
13 & -0.08672 & -0.8541 & 0.197579 \tabularnewline
14 & 0.084061 & 0.8279 & 0.204878 \tabularnewline
15 & -0.094461 & -0.9303 & 0.177253 \tabularnewline
16 & 0.023326 & 0.2297 & 0.409393 \tabularnewline
17 & -0.013706 & -0.135 & 0.44645 \tabularnewline
18 & -0.002307 & -0.0227 & 0.490961 \tabularnewline
19 & -0.013312 & -0.1311 & 0.447982 \tabularnewline
20 & -0.060544 & -0.5963 & 0.276184 \tabularnewline
21 & 0.038722 & 0.3814 & 0.351883 \tabularnewline
22 & 0.038276 & 0.377 & 0.353509 \tabularnewline
23 & 0.01729 & 0.1703 & 0.432569 \tabularnewline
24 & -0.005355 & -0.0527 & 0.479025 \tabularnewline
25 & -0.011656 & -0.1148 & 0.45442 \tabularnewline
26 & -0.048185 & -0.4746 & 0.318079 \tabularnewline
27 & 0.001197 & 0.0118 & 0.49531 \tabularnewline
28 & -0.017516 & -0.1725 & 0.431696 \tabularnewline
29 & -0.041412 & -0.4079 & 0.342137 \tabularnewline
30 & -0.039924 & -0.3932 & 0.347514 \tabularnewline
31 & 0.003726 & 0.0367 & 0.4854 \tabularnewline
32 & -0.015928 & -0.1569 & 0.437837 \tabularnewline
33 & -0.042179 & -0.4154 & 0.339379 \tabularnewline
34 & 0.007079 & 0.0697 & 0.472282 \tabularnewline
35 & -0.026789 & -0.2638 & 0.396231 \tabularnewline
36 & -0.007637 & -0.0752 & 0.4701 \tabularnewline
37 & -0.053972 & -0.5316 & 0.298121 \tabularnewline
38 & -0.067159 & -0.6614 & 0.254949 \tabularnewline
39 & 0.020089 & 0.1979 & 0.421788 \tabularnewline
40 & -0.056878 & -0.5602 & 0.288323 \tabularnewline
41 & 0.007854 & 0.0774 & 0.46925 \tabularnewline
42 & -0.067294 & -0.6628 & 0.254524 \tabularnewline
43 & -0.041226 & -0.406 & 0.342806 \tabularnewline
44 & -0.06568 & -0.6469 & 0.259621 \tabularnewline
45 & 0.035043 & 0.3451 & 0.365372 \tabularnewline
46 & -0.025678 & -0.2529 & 0.40044 \tabularnewline
47 & -0.009622 & -0.0948 & 0.462349 \tabularnewline
48 & 0.050615 & 0.4985 & 0.309632 \tabularnewline
49 & -0.080638 & -0.7942 & 0.21451 \tabularnewline
50 & -0.041322 & -0.407 & 0.342462 \tabularnewline
51 & -0.016331 & -0.1608 & 0.436276 \tabularnewline
52 & -0.023557 & -0.232 & 0.408509 \tabularnewline
53 & 0.009756 & 0.0961 & 0.461827 \tabularnewline
54 & 0.028142 & 0.2772 & 0.391121 \tabularnewline
55 & -0.04196 & -0.4133 & 0.340164 \tabularnewline
56 & 0.0514 & 0.5062 & 0.306921 \tabularnewline
57 & 0.008145 & 0.0802 & 0.468112 \tabularnewline
58 & 0.120562 & 1.1874 & 0.118986 \tabularnewline
59 & 0.026166 & 0.2577 & 0.398591 \tabularnewline
60 & -0.014771 & -0.1455 & 0.442318 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=32336&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]0.939431[/C][C]9.2523[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.083191[/C][C]-0.8193[/C][C]0.207302[/C][/ROW]
[ROW][C]3[/C][C]0.190269[/C][C]1.8739[/C][C]0.031975[/C][/ROW]
[ROW][C]4[/C][C]-0.049365[/C][C]-0.4862[/C][C]0.313966[/C][/ROW]
[ROW][C]5[/C][C]0.06498[/C][C]0.64[/C][C]0.261847[/C][/ROW]
[ROW][C]6[/C][C]-0.044109[/C][C]-0.4344[/C][C]0.332474[/C][/ROW]
[ROW][C]7[/C][C]0.007019[/C][C]0.0691[/C][C]0.472513[/C][/ROW]
[ROW][C]8[/C][C]-0.105219[/C][C]-1.0363[/C][C]0.151323[/C][/ROW]
[ROW][C]9[/C][C]-0.10055[/C][C]-0.9903[/C][C]0.162244[/C][/ROW]
[ROW][C]10[/C][C]-0.049408[/C][C]-0.4866[/C][C]0.313816[/C][/ROW]
[ROW][C]11[/C][C]-0.056871[/C][C]-0.5601[/C][C]0.288346[/C][/ROW]
[ROW][C]12[/C][C]0.013632[/C][C]0.1343[/C][C]0.446737[/C][/ROW]
[ROW][C]13[/C][C]-0.08672[/C][C]-0.8541[/C][C]0.197579[/C][/ROW]
[ROW][C]14[/C][C]0.084061[/C][C]0.8279[/C][C]0.204878[/C][/ROW]
[ROW][C]15[/C][C]-0.094461[/C][C]-0.9303[/C][C]0.177253[/C][/ROW]
[ROW][C]16[/C][C]0.023326[/C][C]0.2297[/C][C]0.409393[/C][/ROW]
[ROW][C]17[/C][C]-0.013706[/C][C]-0.135[/C][C]0.44645[/C][/ROW]
[ROW][C]18[/C][C]-0.002307[/C][C]-0.0227[/C][C]0.490961[/C][/ROW]
[ROW][C]19[/C][C]-0.013312[/C][C]-0.1311[/C][C]0.447982[/C][/ROW]
[ROW][C]20[/C][C]-0.060544[/C][C]-0.5963[/C][C]0.276184[/C][/ROW]
[ROW][C]21[/C][C]0.038722[/C][C]0.3814[/C][C]0.351883[/C][/ROW]
[ROW][C]22[/C][C]0.038276[/C][C]0.377[/C][C]0.353509[/C][/ROW]
[ROW][C]23[/C][C]0.01729[/C][C]0.1703[/C][C]0.432569[/C][/ROW]
[ROW][C]24[/C][C]-0.005355[/C][C]-0.0527[/C][C]0.479025[/C][/ROW]
[ROW][C]25[/C][C]-0.011656[/C][C]-0.1148[/C][C]0.45442[/C][/ROW]
[ROW][C]26[/C][C]-0.048185[/C][C]-0.4746[/C][C]0.318079[/C][/ROW]
[ROW][C]27[/C][C]0.001197[/C][C]0.0118[/C][C]0.49531[/C][/ROW]
[ROW][C]28[/C][C]-0.017516[/C][C]-0.1725[/C][C]0.431696[/C][/ROW]
[ROW][C]29[/C][C]-0.041412[/C][C]-0.4079[/C][C]0.342137[/C][/ROW]
[ROW][C]30[/C][C]-0.039924[/C][C]-0.3932[/C][C]0.347514[/C][/ROW]
[ROW][C]31[/C][C]0.003726[/C][C]0.0367[/C][C]0.4854[/C][/ROW]
[ROW][C]32[/C][C]-0.015928[/C][C]-0.1569[/C][C]0.437837[/C][/ROW]
[ROW][C]33[/C][C]-0.042179[/C][C]-0.4154[/C][C]0.339379[/C][/ROW]
[ROW][C]34[/C][C]0.007079[/C][C]0.0697[/C][C]0.472282[/C][/ROW]
[ROW][C]35[/C][C]-0.026789[/C][C]-0.2638[/C][C]0.396231[/C][/ROW]
[ROW][C]36[/C][C]-0.007637[/C][C]-0.0752[/C][C]0.4701[/C][/ROW]
[ROW][C]37[/C][C]-0.053972[/C][C]-0.5316[/C][C]0.298121[/C][/ROW]
[ROW][C]38[/C][C]-0.067159[/C][C]-0.6614[/C][C]0.254949[/C][/ROW]
[ROW][C]39[/C][C]0.020089[/C][C]0.1979[/C][C]0.421788[/C][/ROW]
[ROW][C]40[/C][C]-0.056878[/C][C]-0.5602[/C][C]0.288323[/C][/ROW]
[ROW][C]41[/C][C]0.007854[/C][C]0.0774[/C][C]0.46925[/C][/ROW]
[ROW][C]42[/C][C]-0.067294[/C][C]-0.6628[/C][C]0.254524[/C][/ROW]
[ROW][C]43[/C][C]-0.041226[/C][C]-0.406[/C][C]0.342806[/C][/ROW]
[ROW][C]44[/C][C]-0.06568[/C][C]-0.6469[/C][C]0.259621[/C][/ROW]
[ROW][C]45[/C][C]0.035043[/C][C]0.3451[/C][C]0.365372[/C][/ROW]
[ROW][C]46[/C][C]-0.025678[/C][C]-0.2529[/C][C]0.40044[/C][/ROW]
[ROW][C]47[/C][C]-0.009622[/C][C]-0.0948[/C][C]0.462349[/C][/ROW]
[ROW][C]48[/C][C]0.050615[/C][C]0.4985[/C][C]0.309632[/C][/ROW]
[ROW][C]49[/C][C]-0.080638[/C][C]-0.7942[/C][C]0.21451[/C][/ROW]
[ROW][C]50[/C][C]-0.041322[/C][C]-0.407[/C][C]0.342462[/C][/ROW]
[ROW][C]51[/C][C]-0.016331[/C][C]-0.1608[/C][C]0.436276[/C][/ROW]
[ROW][C]52[/C][C]-0.023557[/C][C]-0.232[/C][C]0.408509[/C][/ROW]
[ROW][C]53[/C][C]0.009756[/C][C]0.0961[/C][C]0.461827[/C][/ROW]
[ROW][C]54[/C][C]0.028142[/C][C]0.2772[/C][C]0.391121[/C][/ROW]
[ROW][C]55[/C][C]-0.04196[/C][C]-0.4133[/C][C]0.340164[/C][/ROW]
[ROW][C]56[/C][C]0.0514[/C][C]0.5062[/C][C]0.306921[/C][/ROW]
[ROW][C]57[/C][C]0.008145[/C][C]0.0802[/C][C]0.468112[/C][/ROW]
[ROW][C]58[/C][C]0.120562[/C][C]1.1874[/C][C]0.118986[/C][/ROW]
[ROW][C]59[/C][C]0.026166[/C][C]0.2577[/C][C]0.398591[/C][/ROW]
[ROW][C]60[/C][C]-0.014771[/C][C]-0.1455[/C][C]0.442318[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=32336&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=32336&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
10.9394319.25230
2-0.083191-0.81930.207302
30.1902691.87390.031975
4-0.049365-0.48620.313966
50.064980.640.261847
6-0.044109-0.43440.332474
70.0070190.06910.472513
8-0.105219-1.03630.151323
9-0.10055-0.99030.162244
10-0.049408-0.48660.313816
11-0.056871-0.56010.288346
120.0136320.13430.446737
13-0.08672-0.85410.197579
140.0840610.82790.204878
15-0.094461-0.93030.177253
160.0233260.22970.409393
17-0.013706-0.1350.44645
18-0.002307-0.02270.490961
19-0.013312-0.13110.447982
20-0.060544-0.59630.276184
210.0387220.38140.351883
220.0382760.3770.353509
230.017290.17030.432569
24-0.005355-0.05270.479025
25-0.011656-0.11480.45442
26-0.048185-0.47460.318079
270.0011970.01180.49531
28-0.017516-0.17250.431696
29-0.041412-0.40790.342137
30-0.039924-0.39320.347514
310.0037260.03670.4854
32-0.015928-0.15690.437837
33-0.042179-0.41540.339379
340.0070790.06970.472282
35-0.026789-0.26380.396231
36-0.007637-0.07520.4701
37-0.053972-0.53160.298121
38-0.067159-0.66140.254949
390.0200890.19790.421788
40-0.056878-0.56020.288323
410.0078540.07740.46925
42-0.067294-0.66280.254524
43-0.041226-0.4060.342806
44-0.06568-0.64690.259621
450.0350430.34510.365372
46-0.025678-0.25290.40044
47-0.009622-0.09480.462349
480.0506150.49850.309632
49-0.080638-0.79420.21451
50-0.041322-0.4070.342462
51-0.016331-0.16080.436276
52-0.023557-0.2320.408509
530.0097560.09610.461827
540.0281420.27720.391121
55-0.04196-0.41330.340164
560.05140.50620.306921
570.0081450.08020.468112
580.1205621.18740.118986
590.0261660.25770.398591
60-0.014771-0.14550.442318


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;
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 (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='pic1.png')
racf <- acf(x,par1,main='Autocorrelation',xlab='lags',ylab='ACF')
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF')
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')