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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 computationTue, 08 Dec 2009 11:38:48 -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/2009/Dec/08/t1260297562nn4n21z98n63nz6.htm/, Retrieved Sat, 27 Apr 2024 19:31:42 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=64776, Retrieved Sat, 27 Apr 2024 19:31:42 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact137

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-12 13:32:37] [76963dc1903f0f612b6153510a3818cf]
- R  D  [Univariate Explorative Data Analysis] [Run Sequence gebo...] [2008-12-17 12:14:40] [76963dc1903f0f612b6153510a3818cf]
-         [Univariate Explorative Data Analysis] [Run Sequence Plot...] [2008-12-22 18:19:51] [1ce0d16c8f4225c977b42c8fa93bc163]
- RMP       [(Partial) Autocorrelation Function] [Identifying Integ...] [2009-11-22 12:16:10] [b98453cac15ba1066b407e146608df68]
-    D        [(Partial) Autocorrelation Function] [] [2009-11-26 18:26:04] [94b62ad0aa784646217b93aa983cee13]
-   PD          [(Partial) Autocorrelation Function] [] [2009-12-08 18:32:58] [94b62ad0aa784646217b93aa983cee13]
-   P               [(Partial) Autocorrelation Function] [] [2009-12-08 18:38:48] [873be88d67c17ca20f1ec7e5d8eb10d1] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
87.28
87.28
87.09
86.92
87.59
90.72
90.69
90.3
89.55
88.94
88.41
87.82
87.07
86.82
86.4
86.02
85.66
85.32
85
84.67
83.94
82.83
81.95
81.19
80.48
78.86
69.47
68.77
70.06
73.95
75.8
77.79
81.57
83.07
84.34
85.1
85.25
84.26
83.63
86.44
85.3
84.1
83.36
82.48
81.58
80.47
79.34
82.13
81.69
80.7
79.88
79.16
78.38
77.42
76.47
75.46
74.48
78.27
80.7
79.91
78.75
77.78
81.14
81.08
80.03
78.91
78.01
76.9
75.97
81.93
80.27
78.67
77.42
76.16
74.7
76.39
76.04
74.65
73.29
71.79
74.39
74.91
74.54
73.08
72.75
71.32
70.38
70.35
70.01
69.36
67.77
69.26
69.8
68.38
67.62
68.39
66.95
65.21
66.64
63.45
60.66
62.34
60.32
58.64
60.46
58.59
61.87
61.85
67.44
77.06
91.74
93.15
94.15
93.11
91.51
89.96
88.16
86.98
88.03
86.24
84.65
83.23
81.7
80.25
78.8
77.51
76.2
75.04
74
75.49
77.14
76.15
76.27
78.19
76.49
77.31
76.65
74.99
73.51
72.07
70.59
71.96
76.29
74.86
74.93
71.9
71.01
77.47
75.78
76.6
76.07
74.57
73.02
72.65
73.16
71.53
69.78
67.98
69.96
72.16
70.47
68.86
67.37
65.87
72.16
71.34
69.93
68.44
67.16
66.01
67.25
70.91
69.75
68.59
67.48
66.31
64.81
66.58
65.97
64.7
64.7
60.94
59.08
58.42
57.77
57.11
53.31
49.96
49.4
48.84
48.3
47.74
47.24
46.76
46.29
48.9
49.23
48.53
48.03
54.34
53.79
53.24
52.96
52.17
51.7
58.55
78.2
77.03
76.19
77.15
75.87
95.47
109.67
112.28
112.01
107.93
105.96
105.06
102.98
102.2
105.23
101.85
99.89
96.23
94.76
91.51
91.63
91.54
85.23
87.83
87.38
84.44
85.19
84.03
86.73
102.52
104.45
106.98
107.02
99.26
94.45
113.44
157.33
147.38
171.89
171.95
132.71
126.02
121.18
115.45
110.48
117.85
117.63
124.65
109.59
111.27
99.78
98.21
99.2
97.97
89.55
87.91
93.34
94.42
93.2
90.29
91.46
89.98
88.35
88.41
82.44
79.89
75.69
75.66
84.5
96.73
87.48
82.39
83.48
79.31
78.16
72.77
72.45
68.46
67.62
68.76
70.07
68.55
65.3
58.96
59.17
62.37
66.28
55.62
55.23
55.85
56.75
50.89
53.88
52.95
55.08
53.61
58.78
61.85
55.91
53.32
46.41
44.57
50
50
53.36
46.23
50.45
49.07
45.85
48.45
49.96
46.53
50.51
47.58
48.05
46.84
47.67
49.16
55.54
55.82
58.22
56.19
57.77
63.19
54.76
55.74
62.54
61.39
69.6
79.23
80
93.68
107.63
100.18
97.3
90.45
80.64
80.58
75.82
85.59
89.35
89.42
104.73
95.32
89.27
90.44
86.97
79.98
81.22
87.35
83.64
82.22
94.4

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=64776&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=64776&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64776&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
10.1021981.9010.029066
20.0071140.13230.4474
30.0721181.34150.090322
4-0.202955-3.77529.4e-05
5-0.170566-3.17270.000823
60.0497780.92590.177566
70.1969063.66270.000144
80.1289262.39820.008503
90.0174790.32510.372639
10-0.001595-0.02970.488177
11-0.063555-1.18220.11897
12-0.556171-10.34540
13-0.064594-1.20150.115188
14-0.038871-0.7230.23507
15-0.071012-1.32090.093704
160.1093372.03380.021368
170.0504110.93770.174525
18-0.131048-2.43760.007643
19-0.188466-3.50570.000258
20-0.026326-0.48970.312334
21-0.096174-1.78890.03725
220.0788931.46750.071576
230.0596811.11010.133859
240.064541.20050.115379
250.0018930.03520.485963

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.102198 & 1.901 & 0.029066 \tabularnewline
2 & 0.007114 & 0.1323 & 0.4474 \tabularnewline
3 & 0.072118 & 1.3415 & 0.090322 \tabularnewline
4 & -0.202955 & -3.7752 & 9.4e-05 \tabularnewline
5 & -0.170566 & -3.1727 & 0.000823 \tabularnewline
6 & 0.049778 & 0.9259 & 0.177566 \tabularnewline
7 & 0.196906 & 3.6627 & 0.000144 \tabularnewline
8 & 0.128926 & 2.3982 & 0.008503 \tabularnewline
9 & 0.017479 & 0.3251 & 0.372639 \tabularnewline
10 & -0.001595 & -0.0297 & 0.488177 \tabularnewline
11 & -0.063555 & -1.1822 & 0.11897 \tabularnewline
12 & -0.556171 & -10.3454 & 0 \tabularnewline
13 & -0.064594 & -1.2015 & 0.115188 \tabularnewline
14 & -0.038871 & -0.723 & 0.23507 \tabularnewline
15 & -0.071012 & -1.3209 & 0.093704 \tabularnewline
16 & 0.109337 & 2.0338 & 0.021368 \tabularnewline
17 & 0.050411 & 0.9377 & 0.174525 \tabularnewline
18 & -0.131048 & -2.4376 & 0.007643 \tabularnewline
19 & -0.188466 & -3.5057 & 0.000258 \tabularnewline
20 & -0.026326 & -0.4897 & 0.312334 \tabularnewline
21 & -0.096174 & -1.7889 & 0.03725 \tabularnewline
22 & 0.078893 & 1.4675 & 0.071576 \tabularnewline
23 & 0.059681 & 1.1101 & 0.133859 \tabularnewline
24 & 0.06454 & 1.2005 & 0.115379 \tabularnewline
25 & 0.001893 & 0.0352 & 0.485963 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64776&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]0.102198[/C][C]1.901[/C][C]0.029066[/C][/ROW]
[ROW][C]2[/C][C]0.007114[/C][C]0.1323[/C][C]0.4474[/C][/ROW]
[ROW][C]3[/C][C]0.072118[/C][C]1.3415[/C][C]0.090322[/C][/ROW]
[ROW][C]4[/C][C]-0.202955[/C][C]-3.7752[/C][C]9.4e-05[/C][/ROW]
[ROW][C]5[/C][C]-0.170566[/C][C]-3.1727[/C][C]0.000823[/C][/ROW]
[ROW][C]6[/C][C]0.049778[/C][C]0.9259[/C][C]0.177566[/C][/ROW]
[ROW][C]7[/C][C]0.196906[/C][C]3.6627[/C][C]0.000144[/C][/ROW]
[ROW][C]8[/C][C]0.128926[/C][C]2.3982[/C][C]0.008503[/C][/ROW]
[ROW][C]9[/C][C]0.017479[/C][C]0.3251[/C][C]0.372639[/C][/ROW]
[ROW][C]10[/C][C]-0.001595[/C][C]-0.0297[/C][C]0.488177[/C][/ROW]
[ROW][C]11[/C][C]-0.063555[/C][C]-1.1822[/C][C]0.11897[/C][/ROW]
[ROW][C]12[/C][C]-0.556171[/C][C]-10.3454[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]-0.064594[/C][C]-1.2015[/C][C]0.115188[/C][/ROW]
[ROW][C]14[/C][C]-0.038871[/C][C]-0.723[/C][C]0.23507[/C][/ROW]
[ROW][C]15[/C][C]-0.071012[/C][C]-1.3209[/C][C]0.093704[/C][/ROW]
[ROW][C]16[/C][C]0.109337[/C][C]2.0338[/C][C]0.021368[/C][/ROW]
[ROW][C]17[/C][C]0.050411[/C][C]0.9377[/C][C]0.174525[/C][/ROW]
[ROW][C]18[/C][C]-0.131048[/C][C]-2.4376[/C][C]0.007643[/C][/ROW]
[ROW][C]19[/C][C]-0.188466[/C][C]-3.5057[/C][C]0.000258[/C][/ROW]
[ROW][C]20[/C][C]-0.026326[/C][C]-0.4897[/C][C]0.312334[/C][/ROW]
[ROW][C]21[/C][C]-0.096174[/C][C]-1.7889[/C][C]0.03725[/C][/ROW]
[ROW][C]22[/C][C]0.078893[/C][C]1.4675[/C][C]0.071576[/C][/ROW]
[ROW][C]23[/C][C]0.059681[/C][C]1.1101[/C][C]0.133859[/C][/ROW]
[ROW][C]24[/C][C]0.06454[/C][C]1.2005[/C][C]0.115379[/C][/ROW]
[ROW][C]25[/C][C]0.001893[/C][C]0.0352[/C][C]0.485963[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64776&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64776&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
10.1021981.9010.029066
20.0071140.13230.4474
30.0721181.34150.090322
4-0.202955-3.77529.4e-05
5-0.170566-3.17270.000823
60.0497780.92590.177566
70.1969063.66270.000144
80.1289262.39820.008503
90.0174790.32510.372639
10-0.001595-0.02970.488177
11-0.063555-1.18220.11897
12-0.556171-10.34540
13-0.064594-1.20150.115188
14-0.038871-0.7230.23507
15-0.071012-1.32090.093704
160.1093372.03380.021368
170.0504110.93770.174525
18-0.131048-2.43760.007643
19-0.188466-3.50570.000258
20-0.026326-0.48970.312334
21-0.096174-1.78890.03725
220.0788931.46750.071576
230.0596811.11010.133859
240.064541.20050.115379
250.0018930.03520.485963






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.1021981.9010.029066
2-0.003365-0.06260.47506
30.0724911.34840.089205
4-0.221162-4.11382.4e-05
5-0.131997-2.45530.007284
60.079521.47920.070004
70.2404044.47185e-06
80.0848541.57840.057696
9-0.101863-1.89480.029479
10-0.064388-1.19770.115929
110.0301930.56160.287368
12-0.505022-9.39390
130.0230390.42860.334256
14-0.085142-1.58370.057084
150.0322480.59980.274502
16-0.113063-2.10310.01809
17-0.08738-1.62540.052498
18-0.122831-2.28480.011465
19-0.019388-0.36060.359295
200.101781.89320.029581
21-0.097491-1.81340.035316
220.1068761.9880.0238
23-0.044159-0.82140.205989
24-0.312113-5.80560
250.0059220.11010.456178

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.102198 & 1.901 & 0.029066 \tabularnewline
2 & -0.003365 & -0.0626 & 0.47506 \tabularnewline
3 & 0.072491 & 1.3484 & 0.089205 \tabularnewline
4 & -0.221162 & -4.1138 & 2.4e-05 \tabularnewline
5 & -0.131997 & -2.4553 & 0.007284 \tabularnewline
6 & 0.07952 & 1.4792 & 0.070004 \tabularnewline
7 & 0.240404 & 4.4718 & 5e-06 \tabularnewline
8 & 0.084854 & 1.5784 & 0.057696 \tabularnewline
9 & -0.101863 & -1.8948 & 0.029479 \tabularnewline
10 & -0.064388 & -1.1977 & 0.115929 \tabularnewline
11 & 0.030193 & 0.5616 & 0.287368 \tabularnewline
12 & -0.505022 & -9.3939 & 0 \tabularnewline
13 & 0.023039 & 0.4286 & 0.334256 \tabularnewline
14 & -0.085142 & -1.5837 & 0.057084 \tabularnewline
15 & 0.032248 & 0.5998 & 0.274502 \tabularnewline
16 & -0.113063 & -2.1031 & 0.01809 \tabularnewline
17 & -0.08738 & -1.6254 & 0.052498 \tabularnewline
18 & -0.122831 & -2.2848 & 0.011465 \tabularnewline
19 & -0.019388 & -0.3606 & 0.359295 \tabularnewline
20 & 0.10178 & 1.8932 & 0.029581 \tabularnewline
21 & -0.097491 & -1.8134 & 0.035316 \tabularnewline
22 & 0.106876 & 1.988 & 0.0238 \tabularnewline
23 & -0.044159 & -0.8214 & 0.205989 \tabularnewline
24 & -0.312113 & -5.8056 & 0 \tabularnewline
25 & 0.005922 & 0.1101 & 0.456178 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=64776&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]0.102198[/C][C]1.901[/C][C]0.029066[/C][/ROW]
[ROW][C]2[/C][C]-0.003365[/C][C]-0.0626[/C][C]0.47506[/C][/ROW]
[ROW][C]3[/C][C]0.072491[/C][C]1.3484[/C][C]0.089205[/C][/ROW]
[ROW][C]4[/C][C]-0.221162[/C][C]-4.1138[/C][C]2.4e-05[/C][/ROW]
[ROW][C]5[/C][C]-0.131997[/C][C]-2.4553[/C][C]0.007284[/C][/ROW]
[ROW][C]6[/C][C]0.07952[/C][C]1.4792[/C][C]0.070004[/C][/ROW]
[ROW][C]7[/C][C]0.240404[/C][C]4.4718[/C][C]5e-06[/C][/ROW]
[ROW][C]8[/C][C]0.084854[/C][C]1.5784[/C][C]0.057696[/C][/ROW]
[ROW][C]9[/C][C]-0.101863[/C][C]-1.8948[/C][C]0.029479[/C][/ROW]
[ROW][C]10[/C][C]-0.064388[/C][C]-1.1977[/C][C]0.115929[/C][/ROW]
[ROW][C]11[/C][C]0.030193[/C][C]0.5616[/C][C]0.287368[/C][/ROW]
[ROW][C]12[/C][C]-0.505022[/C][C]-9.3939[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.023039[/C][C]0.4286[/C][C]0.334256[/C][/ROW]
[ROW][C]14[/C][C]-0.085142[/C][C]-1.5837[/C][C]0.057084[/C][/ROW]
[ROW][C]15[/C][C]0.032248[/C][C]0.5998[/C][C]0.274502[/C][/ROW]
[ROW][C]16[/C][C]-0.113063[/C][C]-2.1031[/C][C]0.01809[/C][/ROW]
[ROW][C]17[/C][C]-0.08738[/C][C]-1.6254[/C][C]0.052498[/C][/ROW]
[ROW][C]18[/C][C]-0.122831[/C][C]-2.2848[/C][C]0.011465[/C][/ROW]
[ROW][C]19[/C][C]-0.019388[/C][C]-0.3606[/C][C]0.359295[/C][/ROW]
[ROW][C]20[/C][C]0.10178[/C][C]1.8932[/C][C]0.029581[/C][/ROW]
[ROW][C]21[/C][C]-0.097491[/C][C]-1.8134[/C][C]0.035316[/C][/ROW]
[ROW][C]22[/C][C]0.106876[/C][C]1.988[/C][C]0.0238[/C][/ROW]
[ROW][C]23[/C][C]-0.044159[/C][C]-0.8214[/C][C]0.205989[/C][/ROW]
[ROW][C]24[/C][C]-0.312113[/C][C]-5.8056[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]0.005922[/C][C]0.1101[/C][C]0.456178[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=64776&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=64776&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
10.1021981.9010.029066
2-0.003365-0.06260.47506
30.0724911.34840.089205
4-0.221162-4.11382.4e-05
5-0.131997-2.45530.007284
60.079521.47920.070004
70.2404044.47185e-06
80.0848541.57840.057696
9-0.101863-1.89480.029479
10-0.064388-1.19770.115929
110.0301930.56160.287368
12-0.505022-9.39390
130.0230390.42860.334256
14-0.085142-1.58370.057084
150.0322480.59980.274502
16-0.113063-2.10310.01809
17-0.08738-1.62540.052498
18-0.122831-2.28480.011465
19-0.019388-0.36060.359295
200.101781.89320.029581
21-0.097491-1.81340.035316
220.1068761.9880.0238
23-0.044159-0.82140.205989
24-0.312113-5.80560
250.0059220.11010.456178


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;
Parameters (R input):
par1 = Default ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = MA ; par7 = 0.95 ;
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 (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='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep=''))
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')