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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 computationSun, 21 Dec 2008 04:54:36 -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/21/t1229860528p9t8qt3kj92aufj.htm/, Retrieved Sun, 19 May 2024 10:48:11 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=35518, Retrieved Sun, 19 May 2024 10:48:11 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact184

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
F     [Univariate Data Series] [Import uit Amerika] [2008-10-13 18:55:55] [b943bd7078334192ff8343563ee31113]
- RMPD  [Histogram] [Paper Analyse (1)] [2008-12-13 13:37:46] [b943bd7078334192ff8343563ee31113]
- RMP     [Tukey lambda PPCC Plot] [Paper Analyse (2)] [2008-12-13 14:19:33] [b943bd7078334192ff8343563ee31113]
- RM        [Central Tendency] [Paper Analyse (3)] [2008-12-13 14:48:04] [b943bd7078334192ff8343563ee31113]
- RMP         [Mean Plot] [Paper Analyse (4)] [2008-12-13 16:59:19] [b943bd7078334192ff8343563ee31113]
- RMPD          [Pearson Correlation] [Paper Analyse (5)] [2008-12-13 17:21:52] [b943bd7078334192ff8343563ee31113]
-    D            [Pearson Correlation] [Paper Analyse (6)] [2008-12-13 17:43:27] [b943bd7078334192ff8343563ee31113]
- RM D              [Partial Correlation] [Paper Analyse (7)] [2008-12-13 19:17:34] [b943bd7078334192ff8343563ee31113]
- RMPD                [Standard Deviation-Mean Plot] [Paper Analyse (8)] [2008-12-13 20:10:46] [b943bd7078334192ff8343563ee31113]
- RM                    [Variance Reduction Matrix] [Paper Analyse (9)] [2008-12-13 20:12:45] [b943bd7078334192ff8343563ee31113]
- RMP                     [(Partial) Autocorrelation Function] [Paper Analyse (10)] [2008-12-14 09:58:13] [b943bd7078334192ff8343563ee31113]
-   P                         [(Partial) Autocorrelation Function] [Paper Analyse (16)] [2008-12-21 11:54:36] [620b6ad5c4696049e39cb73ce029682c] [Current]
-   P                           [(Partial) Autocorrelation Function] [Paper Analyse (17)] [2008-12-21 11:57:49] [b943bd7078334192ff8343563ee31113]
- RMP                             [Spectral Analysis] [Paper Analyse (18)] [2008-12-21 12:02:44] [b943bd7078334192ff8343563ee31113]
-   P                               [Spectral Analysis] [Paper Analyse (19)] [2008-12-21 12:06:49] [b943bd7078334192ff8343563ee31113]
- RMP                                 [ARIMA Backward Selection] [Paper Analyse (20)] [2008-12-21 12:13:35] [b943bd7078334192ff8343563ee31113]
- RMP                                   [ARIMA Forecasting] [Paper Analyse (21)] [2008-12-21 13:12:31] [b943bd7078334192ff8343563ee31113]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1593
1477.9
1733.7
1569.7
1843.7
1950.3
1657.5
1772.1
1568.3
1809.8
1646.7
1808.5
1763.9
1625.5
1538.8
1342.4
1645.1
1619.9
1338.1
1505.5
1529.1
1511.9
1656.7
1694.4
1662.3
1588.7
1483.3
1585.6
1658.9
1584.4
1470.6
1618.7
1407.6
1473.9
1515.3
1485.4
1496.1
1493.5
1298.4
1375.3
1507.9
1455.3
1363.3
1392.8
1348.8
1880.3
1669.2
1543.6
1701.2
1516.5
1466.8
1484.1
1577.2
1684.5
1414.7
1674.5
1598.7
1739.1
1674.6
1671.8
1802
1526.8
1580.9
1634.8
1610.3
1712
1678.8
1708.1
1680.6
2056
1624
2021.4
1861.1
1750.8
1767.5
1710.3
2151.5
2047.9
1915.4
1984.7
1896.5
2170.8
2139.9
2330.5
2121.8
2226.8
1857.9
2155.9
2341.7
2290.2
2006.5
2111.9
1731.3
1762.2
1863.2
1943.5
1975.2

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=35518&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=35518&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35518&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
10.6886256.78220
20.6615536.51550
30.625256.1580
40.5787315.69980
50.6247416.1530
60.5687625.60170
70.5651515.56610
80.4890874.8173e-06
90.4190344.1273.9e-05
100.394973.899.2e-05
110.4324324.2592.4e-05
120.4881434.80763e-06
130.3282743.23310.000837
140.337183.32080.000633
150.2500772.4630.007771
160.2327222.2920.012032
170.2637782.59790.00542
180.2519152.48110.00741
190.2039132.00830.023696
200.1831161.80350.037208
210.1053991.03810.150912
220.089330.87980.190572
230.1235681.2170.113278
240.1383831.36290.088033
250.0271840.26770.394737
260.0089720.08840.464883
27-0.101919-1.00380.158989
28-0.074022-0.7290.233869
29-0.051828-0.51040.305451
30-0.133685-1.31660.09553
31-0.107076-1.05460.14712
32-0.124777-1.22890.11104
33-0.201137-1.9810.025213
34-0.193787-1.90860.029636
35-0.177363-1.74680.041916
36-0.123857-1.21980.11274
37-0.225017-2.21620.014509
38-0.241729-2.38080.009615
39-0.284225-2.79930.00309
40-0.262612-2.58640.005592
41-0.248355-2.4460.008123
42-0.278682-2.74470.003609
43-0.237149-2.33560.010785
44-0.304744-3.00140.001708
45-0.365767-3.60240.00025
46-0.303803-2.99210.001757
47-0.327566-3.22620.000856
48-0.259385-2.55460.006092
49-0.288217-2.83860.00276
50-0.301054-2.9650.001905
51-0.303691-2.9910.001762
52-0.306621-3.01990.001616
53-0.26655-2.62520.005031
54-0.251548-2.47750.007481
55-0.224845-2.21450.014569
56-0.251366-2.47570.007516
57-0.250218-2.46440.007743
58-0.223896-2.20510.014904
59-0.200976-1.97940.025303
60-0.125759-1.23860.109244

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.688625 & 6.7822 & 0 \tabularnewline
2 & 0.661553 & 6.5155 & 0 \tabularnewline
3 & 0.62525 & 6.158 & 0 \tabularnewline
4 & 0.578731 & 5.6998 & 0 \tabularnewline
5 & 0.624741 & 6.153 & 0 \tabularnewline
6 & 0.568762 & 5.6017 & 0 \tabularnewline
7 & 0.565151 & 5.5661 & 0 \tabularnewline
8 & 0.489087 & 4.817 & 3e-06 \tabularnewline
9 & 0.419034 & 4.127 & 3.9e-05 \tabularnewline
10 & 0.39497 & 3.89 & 9.2e-05 \tabularnewline
11 & 0.432432 & 4.259 & 2.4e-05 \tabularnewline
12 & 0.488143 & 4.8076 & 3e-06 \tabularnewline
13 & 0.328274 & 3.2331 & 0.000837 \tabularnewline
14 & 0.33718 & 3.3208 & 0.000633 \tabularnewline
15 & 0.250077 & 2.463 & 0.007771 \tabularnewline
16 & 0.232722 & 2.292 & 0.012032 \tabularnewline
17 & 0.263778 & 2.5979 & 0.00542 \tabularnewline
18 & 0.251915 & 2.4811 & 0.00741 \tabularnewline
19 & 0.203913 & 2.0083 & 0.023696 \tabularnewline
20 & 0.183116 & 1.8035 & 0.037208 \tabularnewline
21 & 0.105399 & 1.0381 & 0.150912 \tabularnewline
22 & 0.08933 & 0.8798 & 0.190572 \tabularnewline
23 & 0.123568 & 1.217 & 0.113278 \tabularnewline
24 & 0.138383 & 1.3629 & 0.088033 \tabularnewline
25 & 0.027184 & 0.2677 & 0.394737 \tabularnewline
26 & 0.008972 & 0.0884 & 0.464883 \tabularnewline
27 & -0.101919 & -1.0038 & 0.158989 \tabularnewline
28 & -0.074022 & -0.729 & 0.233869 \tabularnewline
29 & -0.051828 & -0.5104 & 0.305451 \tabularnewline
30 & -0.133685 & -1.3166 & 0.09553 \tabularnewline
31 & -0.107076 & -1.0546 & 0.14712 \tabularnewline
32 & -0.124777 & -1.2289 & 0.11104 \tabularnewline
33 & -0.201137 & -1.981 & 0.025213 \tabularnewline
34 & -0.193787 & -1.9086 & 0.029636 \tabularnewline
35 & -0.177363 & -1.7468 & 0.041916 \tabularnewline
36 & -0.123857 & -1.2198 & 0.11274 \tabularnewline
37 & -0.225017 & -2.2162 & 0.014509 \tabularnewline
38 & -0.241729 & -2.3808 & 0.009615 \tabularnewline
39 & -0.284225 & -2.7993 & 0.00309 \tabularnewline
40 & -0.262612 & -2.5864 & 0.005592 \tabularnewline
41 & -0.248355 & -2.446 & 0.008123 \tabularnewline
42 & -0.278682 & -2.7447 & 0.003609 \tabularnewline
43 & -0.237149 & -2.3356 & 0.010785 \tabularnewline
44 & -0.304744 & -3.0014 & 0.001708 \tabularnewline
45 & -0.365767 & -3.6024 & 0.00025 \tabularnewline
46 & -0.303803 & -2.9921 & 0.001757 \tabularnewline
47 & -0.327566 & -3.2262 & 0.000856 \tabularnewline
48 & -0.259385 & -2.5546 & 0.006092 \tabularnewline
49 & -0.288217 & -2.8386 & 0.00276 \tabularnewline
50 & -0.301054 & -2.965 & 0.001905 \tabularnewline
51 & -0.303691 & -2.991 & 0.001762 \tabularnewline
52 & -0.306621 & -3.0199 & 0.001616 \tabularnewline
53 & -0.26655 & -2.6252 & 0.005031 \tabularnewline
54 & -0.251548 & -2.4775 & 0.007481 \tabularnewline
55 & -0.224845 & -2.2145 & 0.014569 \tabularnewline
56 & -0.251366 & -2.4757 & 0.007516 \tabularnewline
57 & -0.250218 & -2.4644 & 0.007743 \tabularnewline
58 & -0.223896 & -2.2051 & 0.014904 \tabularnewline
59 & -0.200976 & -1.9794 & 0.025303 \tabularnewline
60 & -0.125759 & -1.2386 & 0.109244 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35518&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]0.688625[/C][C]6.7822[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.661553[/C][C]6.5155[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.62525[/C][C]6.158[/C][C]0[/C][/ROW]
[ROW][C]4[/C][C]0.578731[/C][C]5.6998[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]0.624741[/C][C]6.153[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]0.568762[/C][C]5.6017[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]0.565151[/C][C]5.5661[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]0.489087[/C][C]4.817[/C][C]3e-06[/C][/ROW]
[ROW][C]9[/C][C]0.419034[/C][C]4.127[/C][C]3.9e-05[/C][/ROW]
[ROW][C]10[/C][C]0.39497[/C][C]3.89[/C][C]9.2e-05[/C][/ROW]
[ROW][C]11[/C][C]0.432432[/C][C]4.259[/C][C]2.4e-05[/C][/ROW]
[ROW][C]12[/C][C]0.488143[/C][C]4.8076[/C][C]3e-06[/C][/ROW]
[ROW][C]13[/C][C]0.328274[/C][C]3.2331[/C][C]0.000837[/C][/ROW]
[ROW][C]14[/C][C]0.33718[/C][C]3.3208[/C][C]0.000633[/C][/ROW]
[ROW][C]15[/C][C]0.250077[/C][C]2.463[/C][C]0.007771[/C][/ROW]
[ROW][C]16[/C][C]0.232722[/C][C]2.292[/C][C]0.012032[/C][/ROW]
[ROW][C]17[/C][C]0.263778[/C][C]2.5979[/C][C]0.00542[/C][/ROW]
[ROW][C]18[/C][C]0.251915[/C][C]2.4811[/C][C]0.00741[/C][/ROW]
[ROW][C]19[/C][C]0.203913[/C][C]2.0083[/C][C]0.023696[/C][/ROW]
[ROW][C]20[/C][C]0.183116[/C][C]1.8035[/C][C]0.037208[/C][/ROW]
[ROW][C]21[/C][C]0.105399[/C][C]1.0381[/C][C]0.150912[/C][/ROW]
[ROW][C]22[/C][C]0.08933[/C][C]0.8798[/C][C]0.190572[/C][/ROW]
[ROW][C]23[/C][C]0.123568[/C][C]1.217[/C][C]0.113278[/C][/ROW]
[ROW][C]24[/C][C]0.138383[/C][C]1.3629[/C][C]0.088033[/C][/ROW]
[ROW][C]25[/C][C]0.027184[/C][C]0.2677[/C][C]0.394737[/C][/ROW]
[ROW][C]26[/C][C]0.008972[/C][C]0.0884[/C][C]0.464883[/C][/ROW]
[ROW][C]27[/C][C]-0.101919[/C][C]-1.0038[/C][C]0.158989[/C][/ROW]
[ROW][C]28[/C][C]-0.074022[/C][C]-0.729[/C][C]0.233869[/C][/ROW]
[ROW][C]29[/C][C]-0.051828[/C][C]-0.5104[/C][C]0.305451[/C][/ROW]
[ROW][C]30[/C][C]-0.133685[/C][C]-1.3166[/C][C]0.09553[/C][/ROW]
[ROW][C]31[/C][C]-0.107076[/C][C]-1.0546[/C][C]0.14712[/C][/ROW]
[ROW][C]32[/C][C]-0.124777[/C][C]-1.2289[/C][C]0.11104[/C][/ROW]
[ROW][C]33[/C][C]-0.201137[/C][C]-1.981[/C][C]0.025213[/C][/ROW]
[ROW][C]34[/C][C]-0.193787[/C][C]-1.9086[/C][C]0.029636[/C][/ROW]
[ROW][C]35[/C][C]-0.177363[/C][C]-1.7468[/C][C]0.041916[/C][/ROW]
[ROW][C]36[/C][C]-0.123857[/C][C]-1.2198[/C][C]0.11274[/C][/ROW]
[ROW][C]37[/C][C]-0.225017[/C][C]-2.2162[/C][C]0.014509[/C][/ROW]
[ROW][C]38[/C][C]-0.241729[/C][C]-2.3808[/C][C]0.009615[/C][/ROW]
[ROW][C]39[/C][C]-0.284225[/C][C]-2.7993[/C][C]0.00309[/C][/ROW]
[ROW][C]40[/C][C]-0.262612[/C][C]-2.5864[/C][C]0.005592[/C][/ROW]
[ROW][C]41[/C][C]-0.248355[/C][C]-2.446[/C][C]0.008123[/C][/ROW]
[ROW][C]42[/C][C]-0.278682[/C][C]-2.7447[/C][C]0.003609[/C][/ROW]
[ROW][C]43[/C][C]-0.237149[/C][C]-2.3356[/C][C]0.010785[/C][/ROW]
[ROW][C]44[/C][C]-0.304744[/C][C]-3.0014[/C][C]0.001708[/C][/ROW]
[ROW][C]45[/C][C]-0.365767[/C][C]-3.6024[/C][C]0.00025[/C][/ROW]
[ROW][C]46[/C][C]-0.303803[/C][C]-2.9921[/C][C]0.001757[/C][/ROW]
[ROW][C]47[/C][C]-0.327566[/C][C]-3.2262[/C][C]0.000856[/C][/ROW]
[ROW][C]48[/C][C]-0.259385[/C][C]-2.5546[/C][C]0.006092[/C][/ROW]
[ROW][C]49[/C][C]-0.288217[/C][C]-2.8386[/C][C]0.00276[/C][/ROW]
[ROW][C]50[/C][C]-0.301054[/C][C]-2.965[/C][C]0.001905[/C][/ROW]
[ROW][C]51[/C][C]-0.303691[/C][C]-2.991[/C][C]0.001762[/C][/ROW]
[ROW][C]52[/C][C]-0.306621[/C][C]-3.0199[/C][C]0.001616[/C][/ROW]
[ROW][C]53[/C][C]-0.26655[/C][C]-2.6252[/C][C]0.005031[/C][/ROW]
[ROW][C]54[/C][C]-0.251548[/C][C]-2.4775[/C][C]0.007481[/C][/ROW]
[ROW][C]55[/C][C]-0.224845[/C][C]-2.2145[/C][C]0.014569[/C][/ROW]
[ROW][C]56[/C][C]-0.251366[/C][C]-2.4757[/C][C]0.007516[/C][/ROW]
[ROW][C]57[/C][C]-0.250218[/C][C]-2.4644[/C][C]0.007743[/C][/ROW]
[ROW][C]58[/C][C]-0.223896[/C][C]-2.2051[/C][C]0.014904[/C][/ROW]
[ROW][C]59[/C][C]-0.200976[/C][C]-1.9794[/C][C]0.025303[/C][/ROW]
[ROW][C]60[/C][C]-0.125759[/C][C]-1.2386[/C][C]0.109244[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35518&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35518&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
10.6886256.78220
20.6615536.51550
30.625256.1580
40.5787315.69980
50.6247416.1530
60.5687625.60170
70.5651515.56610
80.4890874.8173e-06
90.4190344.1273.9e-05
100.394973.899.2e-05
110.4324324.2592.4e-05
120.4881434.80763e-06
130.3282743.23310.000837
140.337183.32080.000633
150.2500772.4630.007771
160.2327222.2920.012032
170.2637782.59790.00542
180.2519152.48110.00741
190.2039132.00830.023696
200.1831161.80350.037208
210.1053991.03810.150912
220.089330.87980.190572
230.1235681.2170.113278
240.1383831.36290.088033
250.0271840.26770.394737
260.0089720.08840.464883
27-0.101919-1.00380.158989
28-0.074022-0.7290.233869
29-0.051828-0.51040.305451
30-0.133685-1.31660.09553
31-0.107076-1.05460.14712
32-0.124777-1.22890.11104
33-0.201137-1.9810.025213
34-0.193787-1.90860.029636
35-0.177363-1.74680.041916
36-0.123857-1.21980.11274
37-0.225017-2.21620.014509
38-0.241729-2.38080.009615
39-0.284225-2.79930.00309
40-0.262612-2.58640.005592
41-0.248355-2.4460.008123
42-0.278682-2.74470.003609
43-0.237149-2.33560.010785
44-0.304744-3.00140.001708
45-0.365767-3.60240.00025
46-0.303803-2.99210.001757
47-0.327566-3.22620.000856
48-0.259385-2.55460.006092
49-0.288217-2.83860.00276
50-0.301054-2.9650.001905
51-0.303691-2.9910.001762
52-0.306621-3.01990.001616
53-0.26655-2.62520.005031
54-0.251548-2.47750.007481
55-0.224845-2.21450.014569
56-0.251366-2.47570.007516
57-0.250218-2.46440.007743
58-0.223896-2.20510.014904
59-0.200976-1.97940.025303
60-0.125759-1.23860.109244






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.6886256.78220
20.3563133.50930.000342
30.1887521.8590.03303
40.0751870.74050.230391
50.2266122.23190.013963
60.0295140.29070.385959
70.0589970.58110.281276
8-0.103396-1.01830.155526
9-0.131399-1.29410.099347
10-0.07268-0.71580.237913
110.1486941.46450.07315
120.2258112.2240.014235
13-0.272153-2.68040.004321
14-0.02816-0.27730.391053
15-0.112259-1.10560.135813
16-0.005277-0.0520.479327
170.0349850.34460.365585
180.0935750.92160.179511
19-0.156381-1.54020.063387
200.0840120.82740.205015
21-0.04945-0.4870.313671
22-0.042386-0.41750.338635
23-0.010568-0.10410.45866
240.0926190.91220.181964
25-0.222966-2.1960.015239
26-0.060618-0.5970.275944
27-0.139778-1.37670.085894
280.0540680.53250.297797
290.0347380.34210.366498
30-0.143826-1.41650.079914
310.0283060.27880.390502
320.1128571.11150.134548
330.0261180.25720.398773
34-0.074927-0.73790.231164
35-0.002055-0.02020.491947
360.0905270.89160.187411
37-0.118862-1.17070.122302
38-0.08647-0.85160.19826
390.031580.3110.378223
40-0.065177-0.64190.261218
410.0341680.33650.368605
420.0046320.04560.481855
43-0.023267-0.22920.409617
44-0.126608-1.24690.10771
45-0.006063-0.05970.476253
460.0584540.57570.283075
47-0.098266-0.96780.167773
480.1035261.01960.155224
490.1111281.09450.138228
50-0.001457-0.01440.494289
510.0483170.47590.31762
52-0.082754-0.8150.208524
53-0.01338-0.13180.447715
540.0100450.09890.460699
55-0.006691-0.06590.473797
56-0.065684-0.64690.259609
570.0440820.43420.332571
580.0296050.29160.385615
590.0863440.85040.198602
60-0.023857-0.2350.407367

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.688625 & 6.7822 & 0 \tabularnewline
2 & 0.356313 & 3.5093 & 0.000342 \tabularnewline
3 & 0.188752 & 1.859 & 0.03303 \tabularnewline
4 & 0.075187 & 0.7405 & 0.230391 \tabularnewline
5 & 0.226612 & 2.2319 & 0.013963 \tabularnewline
6 & 0.029514 & 0.2907 & 0.385959 \tabularnewline
7 & 0.058997 & 0.5811 & 0.281276 \tabularnewline
8 & -0.103396 & -1.0183 & 0.155526 \tabularnewline
9 & -0.131399 & -1.2941 & 0.099347 \tabularnewline
10 & -0.07268 & -0.7158 & 0.237913 \tabularnewline
11 & 0.148694 & 1.4645 & 0.07315 \tabularnewline
12 & 0.225811 & 2.224 & 0.014235 \tabularnewline
13 & -0.272153 & -2.6804 & 0.004321 \tabularnewline
14 & -0.02816 & -0.2773 & 0.391053 \tabularnewline
15 & -0.112259 & -1.1056 & 0.135813 \tabularnewline
16 & -0.005277 & -0.052 & 0.479327 \tabularnewline
17 & 0.034985 & 0.3446 & 0.365585 \tabularnewline
18 & 0.093575 & 0.9216 & 0.179511 \tabularnewline
19 & -0.156381 & -1.5402 & 0.063387 \tabularnewline
20 & 0.084012 & 0.8274 & 0.205015 \tabularnewline
21 & -0.04945 & -0.487 & 0.313671 \tabularnewline
22 & -0.042386 & -0.4175 & 0.338635 \tabularnewline
23 & -0.010568 & -0.1041 & 0.45866 \tabularnewline
24 & 0.092619 & 0.9122 & 0.181964 \tabularnewline
25 & -0.222966 & -2.196 & 0.015239 \tabularnewline
26 & -0.060618 & -0.597 & 0.275944 \tabularnewline
27 & -0.139778 & -1.3767 & 0.085894 \tabularnewline
28 & 0.054068 & 0.5325 & 0.297797 \tabularnewline
29 & 0.034738 & 0.3421 & 0.366498 \tabularnewline
30 & -0.143826 & -1.4165 & 0.079914 \tabularnewline
31 & 0.028306 & 0.2788 & 0.390502 \tabularnewline
32 & 0.112857 & 1.1115 & 0.134548 \tabularnewline
33 & 0.026118 & 0.2572 & 0.398773 \tabularnewline
34 & -0.074927 & -0.7379 & 0.231164 \tabularnewline
35 & -0.002055 & -0.0202 & 0.491947 \tabularnewline
36 & 0.090527 & 0.8916 & 0.187411 \tabularnewline
37 & -0.118862 & -1.1707 & 0.122302 \tabularnewline
38 & -0.08647 & -0.8516 & 0.19826 \tabularnewline
39 & 0.03158 & 0.311 & 0.378223 \tabularnewline
40 & -0.065177 & -0.6419 & 0.261218 \tabularnewline
41 & 0.034168 & 0.3365 & 0.368605 \tabularnewline
42 & 0.004632 & 0.0456 & 0.481855 \tabularnewline
43 & -0.023267 & -0.2292 & 0.409617 \tabularnewline
44 & -0.126608 & -1.2469 & 0.10771 \tabularnewline
45 & -0.006063 & -0.0597 & 0.476253 \tabularnewline
46 & 0.058454 & 0.5757 & 0.283075 \tabularnewline
47 & -0.098266 & -0.9678 & 0.167773 \tabularnewline
48 & 0.103526 & 1.0196 & 0.155224 \tabularnewline
49 & 0.111128 & 1.0945 & 0.138228 \tabularnewline
50 & -0.001457 & -0.0144 & 0.494289 \tabularnewline
51 & 0.048317 & 0.4759 & 0.31762 \tabularnewline
52 & -0.082754 & -0.815 & 0.208524 \tabularnewline
53 & -0.01338 & -0.1318 & 0.447715 \tabularnewline
54 & 0.010045 & 0.0989 & 0.460699 \tabularnewline
55 & -0.006691 & -0.0659 & 0.473797 \tabularnewline
56 & -0.065684 & -0.6469 & 0.259609 \tabularnewline
57 & 0.044082 & 0.4342 & 0.332571 \tabularnewline
58 & 0.029605 & 0.2916 & 0.385615 \tabularnewline
59 & 0.086344 & 0.8504 & 0.198602 \tabularnewline
60 & -0.023857 & -0.235 & 0.407367 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=35518&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]0.688625[/C][C]6.7822[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.356313[/C][C]3.5093[/C][C]0.000342[/C][/ROW]
[ROW][C]3[/C][C]0.188752[/C][C]1.859[/C][C]0.03303[/C][/ROW]
[ROW][C]4[/C][C]0.075187[/C][C]0.7405[/C][C]0.230391[/C][/ROW]
[ROW][C]5[/C][C]0.226612[/C][C]2.2319[/C][C]0.013963[/C][/ROW]
[ROW][C]6[/C][C]0.029514[/C][C]0.2907[/C][C]0.385959[/C][/ROW]
[ROW][C]7[/C][C]0.058997[/C][C]0.5811[/C][C]0.281276[/C][/ROW]
[ROW][C]8[/C][C]-0.103396[/C][C]-1.0183[/C][C]0.155526[/C][/ROW]
[ROW][C]9[/C][C]-0.131399[/C][C]-1.2941[/C][C]0.099347[/C][/ROW]
[ROW][C]10[/C][C]-0.07268[/C][C]-0.7158[/C][C]0.237913[/C][/ROW]
[ROW][C]11[/C][C]0.148694[/C][C]1.4645[/C][C]0.07315[/C][/ROW]
[ROW][C]12[/C][C]0.225811[/C][C]2.224[/C][C]0.014235[/C][/ROW]
[ROW][C]13[/C][C]-0.272153[/C][C]-2.6804[/C][C]0.004321[/C][/ROW]
[ROW][C]14[/C][C]-0.02816[/C][C]-0.2773[/C][C]0.391053[/C][/ROW]
[ROW][C]15[/C][C]-0.112259[/C][C]-1.1056[/C][C]0.135813[/C][/ROW]
[ROW][C]16[/C][C]-0.005277[/C][C]-0.052[/C][C]0.479327[/C][/ROW]
[ROW][C]17[/C][C]0.034985[/C][C]0.3446[/C][C]0.365585[/C][/ROW]
[ROW][C]18[/C][C]0.093575[/C][C]0.9216[/C][C]0.179511[/C][/ROW]
[ROW][C]19[/C][C]-0.156381[/C][C]-1.5402[/C][C]0.063387[/C][/ROW]
[ROW][C]20[/C][C]0.084012[/C][C]0.8274[/C][C]0.205015[/C][/ROW]
[ROW][C]21[/C][C]-0.04945[/C][C]-0.487[/C][C]0.313671[/C][/ROW]
[ROW][C]22[/C][C]-0.042386[/C][C]-0.4175[/C][C]0.338635[/C][/ROW]
[ROW][C]23[/C][C]-0.010568[/C][C]-0.1041[/C][C]0.45866[/C][/ROW]
[ROW][C]24[/C][C]0.092619[/C][C]0.9122[/C][C]0.181964[/C][/ROW]
[ROW][C]25[/C][C]-0.222966[/C][C]-2.196[/C][C]0.015239[/C][/ROW]
[ROW][C]26[/C][C]-0.060618[/C][C]-0.597[/C][C]0.275944[/C][/ROW]
[ROW][C]27[/C][C]-0.139778[/C][C]-1.3767[/C][C]0.085894[/C][/ROW]
[ROW][C]28[/C][C]0.054068[/C][C]0.5325[/C][C]0.297797[/C][/ROW]
[ROW][C]29[/C][C]0.034738[/C][C]0.3421[/C][C]0.366498[/C][/ROW]
[ROW][C]30[/C][C]-0.143826[/C][C]-1.4165[/C][C]0.079914[/C][/ROW]
[ROW][C]31[/C][C]0.028306[/C][C]0.2788[/C][C]0.390502[/C][/ROW]
[ROW][C]32[/C][C]0.112857[/C][C]1.1115[/C][C]0.134548[/C][/ROW]
[ROW][C]33[/C][C]0.026118[/C][C]0.2572[/C][C]0.398773[/C][/ROW]
[ROW][C]34[/C][C]-0.074927[/C][C]-0.7379[/C][C]0.231164[/C][/ROW]
[ROW][C]35[/C][C]-0.002055[/C][C]-0.0202[/C][C]0.491947[/C][/ROW]
[ROW][C]36[/C][C]0.090527[/C][C]0.8916[/C][C]0.187411[/C][/ROW]
[ROW][C]37[/C][C]-0.118862[/C][C]-1.1707[/C][C]0.122302[/C][/ROW]
[ROW][C]38[/C][C]-0.08647[/C][C]-0.8516[/C][C]0.19826[/C][/ROW]
[ROW][C]39[/C][C]0.03158[/C][C]0.311[/C][C]0.378223[/C][/ROW]
[ROW][C]40[/C][C]-0.065177[/C][C]-0.6419[/C][C]0.261218[/C][/ROW]
[ROW][C]41[/C][C]0.034168[/C][C]0.3365[/C][C]0.368605[/C][/ROW]
[ROW][C]42[/C][C]0.004632[/C][C]0.0456[/C][C]0.481855[/C][/ROW]
[ROW][C]43[/C][C]-0.023267[/C][C]-0.2292[/C][C]0.409617[/C][/ROW]
[ROW][C]44[/C][C]-0.126608[/C][C]-1.2469[/C][C]0.10771[/C][/ROW]
[ROW][C]45[/C][C]-0.006063[/C][C]-0.0597[/C][C]0.476253[/C][/ROW]
[ROW][C]46[/C][C]0.058454[/C][C]0.5757[/C][C]0.283075[/C][/ROW]
[ROW][C]47[/C][C]-0.098266[/C][C]-0.9678[/C][C]0.167773[/C][/ROW]
[ROW][C]48[/C][C]0.103526[/C][C]1.0196[/C][C]0.155224[/C][/ROW]
[ROW][C]49[/C][C]0.111128[/C][C]1.0945[/C][C]0.138228[/C][/ROW]
[ROW][C]50[/C][C]-0.001457[/C][C]-0.0144[/C][C]0.494289[/C][/ROW]
[ROW][C]51[/C][C]0.048317[/C][C]0.4759[/C][C]0.31762[/C][/ROW]
[ROW][C]52[/C][C]-0.082754[/C][C]-0.815[/C][C]0.208524[/C][/ROW]
[ROW][C]53[/C][C]-0.01338[/C][C]-0.1318[/C][C]0.447715[/C][/ROW]
[ROW][C]54[/C][C]0.010045[/C][C]0.0989[/C][C]0.460699[/C][/ROW]
[ROW][C]55[/C][C]-0.006691[/C][C]-0.0659[/C][C]0.473797[/C][/ROW]
[ROW][C]56[/C][C]-0.065684[/C][C]-0.6469[/C][C]0.259609[/C][/ROW]
[ROW][C]57[/C][C]0.044082[/C][C]0.4342[/C][C]0.332571[/C][/ROW]
[ROW][C]58[/C][C]0.029605[/C][C]0.2916[/C][C]0.385615[/C][/ROW]
[ROW][C]59[/C][C]0.086344[/C][C]0.8504[/C][C]0.198602[/C][/ROW]
[ROW][C]60[/C][C]-0.023857[/C][C]-0.235[/C][C]0.407367[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=35518&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=35518&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
10.6886256.78220
20.3563133.50930.000342
30.1887521.8590.03303
40.0751870.74050.230391
50.2266122.23190.013963
60.0295140.29070.385959
70.0589970.58110.281276
8-0.103396-1.01830.155526
9-0.131399-1.29410.099347
10-0.07268-0.71580.237913
110.1486941.46450.07315
120.2258112.2240.014235
13-0.272153-2.68040.004321
14-0.02816-0.27730.391053
15-0.112259-1.10560.135813
16-0.005277-0.0520.479327
170.0349850.34460.365585
180.0935750.92160.179511
19-0.156381-1.54020.063387
200.0840120.82740.205015
21-0.04945-0.4870.313671
22-0.042386-0.41750.338635
23-0.010568-0.10410.45866
240.0926190.91220.181964
25-0.222966-2.1960.015239
26-0.060618-0.5970.275944
27-0.139778-1.37670.085894
280.0540680.53250.297797
290.0347380.34210.366498
30-0.143826-1.41650.079914
310.0283060.27880.390502
320.1128571.11150.134548
330.0261180.25720.398773
34-0.074927-0.73790.231164
35-0.002055-0.02020.491947
360.0905270.89160.187411
37-0.118862-1.17070.122302
38-0.08647-0.85160.19826
390.031580.3110.378223
40-0.065177-0.64190.261218
410.0341680.33650.368605
420.0046320.04560.481855
43-0.023267-0.22920.409617
44-0.126608-1.24690.10771
45-0.006063-0.05970.476253
460.0584540.57570.283075
47-0.098266-0.96780.167773
480.1035261.01960.155224
490.1111281.09450.138228
50-0.001457-0.01440.494289
510.0483170.47590.31762
52-0.082754-0.8150.208524
53-0.01338-0.13180.447715
540.0100450.09890.460699
55-0.006691-0.06590.473797
56-0.065684-0.64690.259609
570.0440820.43420.332571
580.0296050.29160.385615
590.0863440.85040.198602
60-0.023857-0.2350.407367


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 60 ; par2 = -1.0 ; par3 = 0 ; par4 = 0 ; par5 = 12 ;
Parameters (R input):
par1 = 60 ; par2 = -1.0 ; 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')