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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, 11 Dec 2012 13:06:26 -0500
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2012/Dec/11/t1355249205w4ajfeg16nips1q.htm/, Retrieved Fri, 29 Mar 2024 00:46:28 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=198606, Retrieved Fri, 29 Mar 2024 00:46:28 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact96
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [(Partial) Autocorrelation Function] [] [2011-12-20 16:21:00] [2417ae1b112c0bd5f0a8e2d9469d5871]
- R P     [(Partial) Autocorrelation Function] [dd] [2012-12-11 18:06:26] [69fed4bf76000787e6433dea6d892b14] [Current]
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Dataseries X:
235.1
280.7
264.6
240.7
201.4
240.8
241.1
223.8
206.1
174.7
203.3
220.5
299.5
347.4
338.3
327.7
351.6
396.6
438.8
395.6
363.5
378.8
357
369
464.8
479.1
431.3
366.5
326.3
355.1
331.6
261.3
249
205.5
235.6
240.9
264.9
253.8
232.3
193.8
177
213.2
207.2
180.6
188.6
175.4
199
179.6
225.8
234
200.2
183.6
178.2
203.2
208.5
191.8
172.8
148
159.4
154.5
213.2
196.4
182.8
176.4
153.6
173.2
171
151.2
161.9
157.2
201.7
236.4
356.1
398.3
403.7
384.6
365.8
368.1
367.9
347
343.3
292.9
311.5
300.9
366.9
356.9
329.7
316.2
269
289.3
266.2
253.6
233.8
228.4
253.6
260.1
306.6
309.2
309.5
271
279.9
317.9
298.4
246.7
227.3
209.1
259.9
266
320.6
308.5
282.2
262.7
263.5
313.1
284.3
252.6
250.3
246.5
312.7
333.2
446.4
511.6
515.5
506.4
483.2
522.3
509.8
460.7
405.8
375
378.5
406.8
467.8
469.8
429.8
355.8
332.7
378
360.5
334.7
319.5
323.1
363.6
352.1
411.9
388.6
416.4
360.7
338
417.2
388.4
371.1
331.5
353.7
396.7
447
533.5
565.4
542.3
488.7
467.1
531.3
496.1
444
403.4
386.3
394.1
404.1
462.1
448.1
432.3
386.3
395.2
421.9
382.9
384.2
345.5
323.4
372.6
376
462.7
487
444.2
399.3
394.9
455.4
414
375.5
347
339.4
385.8
378.8
451.8
446.1
422.5
383.1
352.8
445.3
367.5
355.1
326.2
319.8
331.8
340.9
394.1
417.2
369.9
349.2
321.4
405.7
342.9
316.5
284.2
270.9
288.8
278.8
324.4
310.9
299
273
279.3
359.2
305
282.1
250.3
246.5
257.9
266.5
315.9
318.4
295.4
266.4
245.8
362.8
324.9
294.2
289.5
295.2
290.3
272
307.4
328.7
292.9
249.1
230.4
361.5
321.7
277.2
260.7
251
257.6
241.8
287.5
292.3
274.7
254.2
230
339
318.2
287
295.8
284
271
262.7
340.6
379.4
373.3
355.2
338.4
466.9
451
422
429.2
425.9
460.7
463.6
541.4
544.2
517.5
469.4
439.4
549
533
506.1
484
457
481.5
469.5
544.7
541.2
521.5
469.7
434.4
542.6
517.3
485.7
465.8
447
426.6
411.6
467.5
484.5
451.2
417.4
379.9
484.7
455
420.8
416.5
376.3
405.6
405.8
500.8
514
475.5
430.1
414.4
538
526
488.5
520.2
504.4
568.5
610.6
818
830.9
835.9
782
762.3
856.9
820.9
769.6
752.2
724.4
723.1
719.5
817.4
803.3
752.5
689
630.4
765.5
757.7
732.2
702.6
683.3
709.5
702.2
784.8
810.9
755.6
656.8
615.1
745.3
694.1
675.7
643.7
622.1
634.6
588
689.7
673.9
647.9
568.8
545.7
632.6
643.8
593.1
579.7
546
562.9
572.5




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time4 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 4 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198606&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]4 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198606&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198606&T=0

As an alternative you can also use a 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 time4 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.1547712.93250.001789
20.281795.33910
30.1840483.48720.000274
40.1232862.33590.010022
50.1457792.76210.003019
60.0549951.0420.149057
7-0.04204-0.79650.213123
8-0.000573-0.01080.495675
9-0.079745-1.5110.06584
10-0.169677-3.21490.000712
11-0.031115-0.58950.277934
12-0.466241-8.8340
13-0.160165-3.03470.001292
14-0.163861-3.10470.001028
15-0.144938-2.74620.003167
16-0.156891-2.97270.001576
17-0.130111-2.46530.007079
18-0.104923-1.9880.023785
190.0155150.2940.384477
200.0122540.23220.408263
21-0.023836-0.45160.325902
220.0048670.09220.463292
23-0.020275-0.38420.350547
240.0001730.00330.498692
250.1117282.11690.017476

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.154771 & 2.9325 & 0.001789 \tabularnewline
2 & 0.28179 & 5.3391 & 0 \tabularnewline
3 & 0.184048 & 3.4872 & 0.000274 \tabularnewline
4 & 0.123286 & 2.3359 & 0.010022 \tabularnewline
5 & 0.145779 & 2.7621 & 0.003019 \tabularnewline
6 & 0.054995 & 1.042 & 0.149057 \tabularnewline
7 & -0.04204 & -0.7965 & 0.213123 \tabularnewline
8 & -0.000573 & -0.0108 & 0.495675 \tabularnewline
9 & -0.079745 & -1.511 & 0.06584 \tabularnewline
10 & -0.169677 & -3.2149 & 0.000712 \tabularnewline
11 & -0.031115 & -0.5895 & 0.277934 \tabularnewline
12 & -0.466241 & -8.834 & 0 \tabularnewline
13 & -0.160165 & -3.0347 & 0.001292 \tabularnewline
14 & -0.163861 & -3.1047 & 0.001028 \tabularnewline
15 & -0.144938 & -2.7462 & 0.003167 \tabularnewline
16 & -0.156891 & -2.9727 & 0.001576 \tabularnewline
17 & -0.130111 & -2.4653 & 0.007079 \tabularnewline
18 & -0.104923 & -1.988 & 0.023785 \tabularnewline
19 & 0.015515 & 0.294 & 0.384477 \tabularnewline
20 & 0.012254 & 0.2322 & 0.408263 \tabularnewline
21 & -0.023836 & -0.4516 & 0.325902 \tabularnewline
22 & 0.004867 & 0.0922 & 0.463292 \tabularnewline
23 & -0.020275 & -0.3842 & 0.350547 \tabularnewline
24 & 0.000173 & 0.0033 & 0.498692 \tabularnewline
25 & 0.111728 & 2.1169 & 0.017476 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198606&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]0.154771[/C][C]2.9325[/C][C]0.001789[/C][/ROW]
[ROW][C]2[/C][C]0.28179[/C][C]5.3391[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.184048[/C][C]3.4872[/C][C]0.000274[/C][/ROW]
[ROW][C]4[/C][C]0.123286[/C][C]2.3359[/C][C]0.010022[/C][/ROW]
[ROW][C]5[/C][C]0.145779[/C][C]2.7621[/C][C]0.003019[/C][/ROW]
[ROW][C]6[/C][C]0.054995[/C][C]1.042[/C][C]0.149057[/C][/ROW]
[ROW][C]7[/C][C]-0.04204[/C][C]-0.7965[/C][C]0.213123[/C][/ROW]
[ROW][C]8[/C][C]-0.000573[/C][C]-0.0108[/C][C]0.495675[/C][/ROW]
[ROW][C]9[/C][C]-0.079745[/C][C]-1.511[/C][C]0.06584[/C][/ROW]
[ROW][C]10[/C][C]-0.169677[/C][C]-3.2149[/C][C]0.000712[/C][/ROW]
[ROW][C]11[/C][C]-0.031115[/C][C]-0.5895[/C][C]0.277934[/C][/ROW]
[ROW][C]12[/C][C]-0.466241[/C][C]-8.834[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]-0.160165[/C][C]-3.0347[/C][C]0.001292[/C][/ROW]
[ROW][C]14[/C][C]-0.163861[/C][C]-3.1047[/C][C]0.001028[/C][/ROW]
[ROW][C]15[/C][C]-0.144938[/C][C]-2.7462[/C][C]0.003167[/C][/ROW]
[ROW][C]16[/C][C]-0.156891[/C][C]-2.9727[/C][C]0.001576[/C][/ROW]
[ROW][C]17[/C][C]-0.130111[/C][C]-2.4653[/C][C]0.007079[/C][/ROW]
[ROW][C]18[/C][C]-0.104923[/C][C]-1.988[/C][C]0.023785[/C][/ROW]
[ROW][C]19[/C][C]0.015515[/C][C]0.294[/C][C]0.384477[/C][/ROW]
[ROW][C]20[/C][C]0.012254[/C][C]0.2322[/C][C]0.408263[/C][/ROW]
[ROW][C]21[/C][C]-0.023836[/C][C]-0.4516[/C][C]0.325902[/C][/ROW]
[ROW][C]22[/C][C]0.004867[/C][C]0.0922[/C][C]0.463292[/C][/ROW]
[ROW][C]23[/C][C]-0.020275[/C][C]-0.3842[/C][C]0.350547[/C][/ROW]
[ROW][C]24[/C][C]0.000173[/C][C]0.0033[/C][C]0.498692[/C][/ROW]
[ROW][C]25[/C][C]0.111728[/C][C]2.1169[/C][C]0.017476[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198606&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198606&T=1

As an alternative you can also use a QR Code:  

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

Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.1547712.93250.001789
20.281795.33910
30.1840483.48720.000274
40.1232862.33590.010022
50.1457792.76210.003019
60.0549951.0420.149057
7-0.04204-0.79650.213123
8-0.000573-0.01080.495675
9-0.079745-1.5110.06584
10-0.169677-3.21490.000712
11-0.031115-0.58950.277934
12-0.466241-8.8340
13-0.160165-3.03470.001292
14-0.163861-3.10470.001028
15-0.144938-2.74620.003167
16-0.156891-2.97270.001576
17-0.130111-2.46530.007079
18-0.104923-1.9880.023785
190.0155150.2940.384477
200.0122540.23220.408263
21-0.023836-0.45160.325902
220.0048670.09220.463292
23-0.020275-0.38420.350547
240.0001730.00330.498692
250.1117282.11690.017476







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.1547712.93250.001789
20.2641635.00520
30.1223342.31790.010508
40.0210520.39890.345113
50.0600791.13830.12787
6-0.021362-0.40480.342948
7-0.126305-2.39310.008609
8-0.029116-0.55170.29076
9-0.059804-1.13310.12896
10-0.159972-3.0310.001307
110.0464280.87970.189811
12-0.412411-7.81410
13-0.059522-1.12780.130085
140.083111.57470.058102
150.0393870.74630.227993
16-0.071159-1.34830.089209
170.0067510.12790.449143
180.0032110.06080.475762
190.0387230.73370.231807
200.0768671.45640.073076
21-0.056412-1.06890.142927
22-0.149328-2.82940.002463
230.0003450.00650.497393
24-0.23942-4.53644e-06
250.0567441.07510.141516

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.154771 & 2.9325 & 0.001789 \tabularnewline
2 & 0.264163 & 5.0052 & 0 \tabularnewline
3 & 0.122334 & 2.3179 & 0.010508 \tabularnewline
4 & 0.021052 & 0.3989 & 0.345113 \tabularnewline
5 & 0.060079 & 1.1383 & 0.12787 \tabularnewline
6 & -0.021362 & -0.4048 & 0.342948 \tabularnewline
7 & -0.126305 & -2.3931 & 0.008609 \tabularnewline
8 & -0.029116 & -0.5517 & 0.29076 \tabularnewline
9 & -0.059804 & -1.1331 & 0.12896 \tabularnewline
10 & -0.159972 & -3.031 & 0.001307 \tabularnewline
11 & 0.046428 & 0.8797 & 0.189811 \tabularnewline
12 & -0.412411 & -7.8141 & 0 \tabularnewline
13 & -0.059522 & -1.1278 & 0.130085 \tabularnewline
14 & 0.08311 & 1.5747 & 0.058102 \tabularnewline
15 & 0.039387 & 0.7463 & 0.227993 \tabularnewline
16 & -0.071159 & -1.3483 & 0.089209 \tabularnewline
17 & 0.006751 & 0.1279 & 0.449143 \tabularnewline
18 & 0.003211 & 0.0608 & 0.475762 \tabularnewline
19 & 0.038723 & 0.7337 & 0.231807 \tabularnewline
20 & 0.076867 & 1.4564 & 0.073076 \tabularnewline
21 & -0.056412 & -1.0689 & 0.142927 \tabularnewline
22 & -0.149328 & -2.8294 & 0.002463 \tabularnewline
23 & 0.000345 & 0.0065 & 0.497393 \tabularnewline
24 & -0.23942 & -4.5364 & 4e-06 \tabularnewline
25 & 0.056744 & 1.0751 & 0.141516 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=198606&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]0.154771[/C][C]2.9325[/C][C]0.001789[/C][/ROW]
[ROW][C]2[/C][C]0.264163[/C][C]5.0052[/C][C]0[/C][/ROW]
[ROW][C]3[/C][C]0.122334[/C][C]2.3179[/C][C]0.010508[/C][/ROW]
[ROW][C]4[/C][C]0.021052[/C][C]0.3989[/C][C]0.345113[/C][/ROW]
[ROW][C]5[/C][C]0.060079[/C][C]1.1383[/C][C]0.12787[/C][/ROW]
[ROW][C]6[/C][C]-0.021362[/C][C]-0.4048[/C][C]0.342948[/C][/ROW]
[ROW][C]7[/C][C]-0.126305[/C][C]-2.3931[/C][C]0.008609[/C][/ROW]
[ROW][C]8[/C][C]-0.029116[/C][C]-0.5517[/C][C]0.29076[/C][/ROW]
[ROW][C]9[/C][C]-0.059804[/C][C]-1.1331[/C][C]0.12896[/C][/ROW]
[ROW][C]10[/C][C]-0.159972[/C][C]-3.031[/C][C]0.001307[/C][/ROW]
[ROW][C]11[/C][C]0.046428[/C][C]0.8797[/C][C]0.189811[/C][/ROW]
[ROW][C]12[/C][C]-0.412411[/C][C]-7.8141[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]-0.059522[/C][C]-1.1278[/C][C]0.130085[/C][/ROW]
[ROW][C]14[/C][C]0.08311[/C][C]1.5747[/C][C]0.058102[/C][/ROW]
[ROW][C]15[/C][C]0.039387[/C][C]0.7463[/C][C]0.227993[/C][/ROW]
[ROW][C]16[/C][C]-0.071159[/C][C]-1.3483[/C][C]0.089209[/C][/ROW]
[ROW][C]17[/C][C]0.006751[/C][C]0.1279[/C][C]0.449143[/C][/ROW]
[ROW][C]18[/C][C]0.003211[/C][C]0.0608[/C][C]0.475762[/C][/ROW]
[ROW][C]19[/C][C]0.038723[/C][C]0.7337[/C][C]0.231807[/C][/ROW]
[ROW][C]20[/C][C]0.076867[/C][C]1.4564[/C][C]0.073076[/C][/ROW]
[ROW][C]21[/C][C]-0.056412[/C][C]-1.0689[/C][C]0.142927[/C][/ROW]
[ROW][C]22[/C][C]-0.149328[/C][C]-2.8294[/C][C]0.002463[/C][/ROW]
[ROW][C]23[/C][C]0.000345[/C][C]0.0065[/C][C]0.497393[/C][/ROW]
[ROW][C]24[/C][C]-0.23942[/C][C]-4.5364[/C][C]4e-06[/C][/ROW]
[ROW][C]25[/C][C]0.056744[/C][C]1.0751[/C][C]0.141516[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=198606&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=198606&T=2

As an alternative you can also use a QR Code:  

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

Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.1547712.93250.001789
20.2641635.00520
30.1223342.31790.010508
40.0210520.39890.345113
50.0600791.13830.12787
6-0.021362-0.40480.342948
7-0.126305-2.39310.008609
8-0.029116-0.55170.29076
9-0.059804-1.13310.12896
10-0.159972-3.0310.001307
110.0464280.87970.189811
12-0.412411-7.81410
13-0.059522-1.12780.130085
140.083111.57470.058102
150.0393870.74630.227993
16-0.071159-1.34830.089209
170.0067510.12790.449143
180.0032110.06080.475762
190.0387230.73370.231807
200.0768671.45640.073076
21-0.056412-1.06890.142927
22-0.149328-2.82940.002463
230.0003450.00650.497393
24-0.23942-4.53644e-06
250.0567441.07510.141516



Parameters (Session):
par1 = Default ; par2 = 0.0 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = Default ; par2 = 0.0 ; par3 = 1 ; par4 = 1 ; 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)
ox <- x
if (par8 == '') {
if (par2 == 0) {
x <- log(x)
} else {
x <- (x ^ par2 - 1) / par2
}
} else {
x <- log(x,base=par8)
}
if (par3 > 0) x <- diff(x,lag=1,difference=par3)
if (par4 > 0) x <- diff(x,lag=par5,difference=par4)
bitmap(file='picts.png')
op <- par(mfrow=c(2,1))
plot(ox,type='l',main='Original Time Series',xlab='time',ylab='value')
if (par8=='') {
mytitle <- paste('Working Time Series (lambda=',par2,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(lambda=',par2,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
} else {
mytitle <- paste('Working Time Series (base=',par8,', d=',par3,', D=',par4,')',sep='')
mysub <- paste('(base=',par8,', d=',par3,', D=',par4,', CI=', par7, ', CI type=',par6,')',sep='')
}
plot(x,type='l', main=mytitle,xlab='time',ylab='value')
par(op)
dev.off()
bitmap(file='pic1.png')
racf <- acf(x, par1, main='Autocorrelation', xlab='time lag', ylab='ACF', ci.type=par6, ci=par7, sub=mysub)
dev.off()
bitmap(file='pic2.png')
rpacf <- pacf(x,par1,main='Partial Autocorrelation',xlab='lags',ylab='PACF',sub=mysub)
dev.off()
(myacf <- c(racf$acf))
(mypacf <- c(rpacf$acf))
lengthx <- length(x)
sqrtn <- sqrt(lengthx)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','ACF(k)','click here for more information about the Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 2:(par1+1)) {
a<-table.row.start(a)
a<-table.element(a,i-1,header=TRUE)
a<-table.element(a,round(myacf[i],6))
mytstat <- myacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Partial Autocorrelation Function',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Time lag k',header=TRUE)
a<-table.element(a,hyperlink('basics.htm','PACF(k)','click here for more information about the Partial Autocorrelation Function'),header=TRUE)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,'P-value',header=TRUE)
a<-table.row.end(a)
for (i in 1:par1) {
a<-table.row.start(a)
a<-table.element(a,i,header=TRUE)
a<-table.element(a,round(mypacf[i],6))
mytstat <- mypacf[i]*sqrtn
a<-table.element(a,round(mytstat,4))
a<-table.element(a,round(1-pt(abs(mytstat),lengthx),6))
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')