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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 computationFri, 10 Dec 2010 10:47:04 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/10/t1291977912pvcd3o4y4w6i3ma.htm/, Retrieved Mon, 29 Apr 2024 11:20:06 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=107521, Retrieved Mon, 29 Apr 2024 11:20:06 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact169

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [Unemployment] [2010-11-29 09:29:57] [b98453cac15ba1066b407e146608df68]
-   PD  [Variance Reduction Matrix] [WS9 - Variance Re...] [2010-12-04 11:04:59] [8ef49741e164ec6343c90c7935194465]
-   P     [Variance Reduction Matrix] [WS 9 VRM] [2010-12-05 14:01:21] [8214fe6d084e5ad7598b249a26cc9f06]
- RMPD        [(Partial) Autocorrelation Function] [paper ACF] [2010-12-10 10:47:04] [b47314d83d48c7bf812ec2bcd743b159] [Current]
-   P           [(Partial) Autocorrelation Function] [paper acf met D=1] [2010-12-10 11:19:24] [8214fe6d084e5ad7598b249a26cc9f06]
- RMP             [Spectral Analysis] [paper - cum perio...] [2010-12-10 11:22:34] [8214fe6d084e5ad7598b249a26cc9f06]
-   P               [Spectral Analysis] [paper - cum perio...] [2010-12-10 11:27:22] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                [Spectral Analysis] [cum periodogram 2 ] [2010-12-20 20:28:39] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                  [Spectral Analysis] [cum per 2 paper] [2010-12-22 13:46:56] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                    [Spectral Analysis] [cum per 1 middeng...] [2010-12-22 19:06:59] [8214fe6d084e5ad7598b249a26cc9f06]
-   P                       [Spectral Analysis] [cum per 2 middeng...] [2010-12-22 19:08:52] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                        [Spectral Analysis] [cum per 1 hoogges...] [2010-12-22 19:10:38] [8214fe6d084e5ad7598b249a26cc9f06]
-   P                           [Spectral Analysis] [cum per 2 hoogges...] [2010-12-22 19:12:39] [8214fe6d084e5ad7598b249a26cc9f06]
- RMPD                            [Standard Deviation-Mean Plot] [sdmp laaggeschoolden] [2010-12-22 19:15:16] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                              [Standard Deviation-Mean Plot] [sdmp middengescho...] [2010-12-22 19:17:33] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                                [Standard Deviation-Mean Plot] [sdmp hooggeschoolden] [2010-12-22 19:20:25] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                                [Standard Deviation-Mean Plot] [sdmp hooggeschoolden] [2010-12-22 19:20:25] [8214fe6d084e5ad7598b249a26cc9f06]
- RMPD                                [ARIMA Backward Selection] [arima backward se...] [2010-12-22 19:29:00] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                                  [ARIMA Backward Selection] [arima backward se...] [2010-12-22 19:34:28] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                                    [ARIMA Backward Selection] [arima backward se...] [2010-12-22 22:09:56] [8214fe6d084e5ad7598b249a26cc9f06]
-    D              [Spectral Analysis] [cum periodogram] [2010-12-20 20:25:35] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD                [Spectral Analysis] [cum periodogram l...] [2010-12-21 19:30:31] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD            [(Partial) Autocorrelation Function] [acf 2] [2010-12-20 19:51:16] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD              [(Partial) Autocorrelation Function] [acf 2 laaggeschoo...] [2010-12-21 19:26:54] [8214fe6d084e5ad7598b249a26cc9f06]
-    D          [(Partial) Autocorrelation Function] [acf] [2010-12-20 19:45:58] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD            [(Partial) Autocorrelation Function] [acf laaggeschoolden] [2010-12-21 19:24:27] [8214fe6d084e5ad7598b249a26cc9f06]
-   PD              [(Partial) Autocorrelation Function] [acf 1 middengesch...] [2010-12-22 14:24:40] [8214fe6d084e5ad7598b249a26cc9f06]
-    D                [(Partial) Autocorrelation Function] [acf 1 hooggeschoo...] [2010-12-22 14:27:57] [8214fe6d084e5ad7598b249a26cc9f06]
-   P                   [(Partial) Autocorrelation Function] [acf 2 hooggeschoo...] [2010-12-22 14:30:09] [8214fe6d084e5ad7598b249a26cc9f06]
-                     [(Partial) Autocorrelation Function] [acf 2 middengesch...] [2010-12-22 14:31:49] [8214fe6d084e5ad7598b249a26cc9f06]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
1.579
2.146
2.462
3.695
4.831
5.134
6.250
5.760
6.249
2.917
1.741
2.359
1.511
2.059
2.635
2.867
4.403
5.720
4.502
5.749
5.627
2.846
1.762
2.429
1.169
2.154
2.249
2.687
4.359
5.382
4.459
6.398
4.596
3.024
1.887
2.070
1.351
2.218
2.461
3.028
4.784
4.975
4.607
6.249
4.809
3.157
1.910
2.228
1.594
2.467
2.222
3.607
4.685
4.962
5.770
5.480
5.000
3.228
1.993
2.288
1.580
2.111
2.192
3.601
4.665
4.876
5.813
5.589
5.331
3.075
2.002
2.306
1.507
1.992
2.487
3.490
4.647
5.594
5.611
5.788
6.204
3.013
1.931
2.549
1.504
2.090
2.702
2.939
4.500
6.208
6.415
5.657
5.964
3.163
1.997
2.422
1.376
2.202
2.683
3.303
5.202
5.231
4.880
7.998
4.977
3.531
2.025
2.205
1.442
2.238
2.179
3.218
5.139
4.990
4.914
6.084
5.672
3.548
1.793
2.086

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk

\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 & 2 seconds \tabularnewline
R Server & 'RServer@AstonUniversity' @ vre.aston.ac.uk \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107521&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]2 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'RServer@AstonUniversity' @ vre.aston.ac.uk[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107521&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107521&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 time2 seconds
R Server'RServer@AstonUniversity' @ vre.aston.ac.uk






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.7219977.90910
20.3781184.14213.2e-05
30.001470.01610.493589
4-0.427046-4.67814e-06
5-0.715973-7.84310
6-0.798206-8.74390
7-0.71598-7.84320
8-0.385985-4.22832.3e-05
90.0296470.32480.372961
100.3574283.91547.5e-05
110.6785337.4330
120.849019.30040
130.6579967.2080
140.3581143.92297.3e-05
15-0.009708-0.10630.457743
16-0.390924-4.28241.9e-05
17-0.621464-6.80780
18-0.713787-7.81910
19-0.634949-6.95550
20-0.333587-3.65430.000192
210.0025380.02780.488933
220.3116113.41350.000438
230.618446.77470
240.7285957.98140
250.5794976.34810
260.316853.47090.000361
27-0.011895-0.13030.448273
28-0.339402-3.7180.000153
29-0.560649-6.14160
30-0.632975-6.93390
31-0.541916-5.93640
32-0.283434-3.10490.001188
33-0.000692-0.00760.496984
340.2783633.04930.001411
350.5242525.74290
360.6275786.87480
370.5161925.65460
380.2542082.78470.003114
39-0.013812-0.15130.439994
40-0.278256-3.04810.001416
41-0.482412-5.28460
42-0.549872-6.02350
43-0.466124-5.10611e-06
44-0.262502-2.87560.002387
45-0.000387-0.00420.498311
460.251552.75560.003386
470.4376464.79422e-06
480.5390295.90480

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.721997 & 7.9091 & 0 \tabularnewline
2 & 0.378118 & 4.1421 & 3.2e-05 \tabularnewline
3 & 0.00147 & 0.0161 & 0.493589 \tabularnewline
4 & -0.427046 & -4.6781 & 4e-06 \tabularnewline
5 & -0.715973 & -7.8431 & 0 \tabularnewline
6 & -0.798206 & -8.7439 & 0 \tabularnewline
7 & -0.71598 & -7.8432 & 0 \tabularnewline
8 & -0.385985 & -4.2283 & 2.3e-05 \tabularnewline
9 & 0.029647 & 0.3248 & 0.372961 \tabularnewline
10 & 0.357428 & 3.9154 & 7.5e-05 \tabularnewline
11 & 0.678533 & 7.433 & 0 \tabularnewline
12 & 0.84901 & 9.3004 & 0 \tabularnewline
13 & 0.657996 & 7.208 & 0 \tabularnewline
14 & 0.358114 & 3.9229 & 7.3e-05 \tabularnewline
15 & -0.009708 & -0.1063 & 0.457743 \tabularnewline
16 & -0.390924 & -4.2824 & 1.9e-05 \tabularnewline
17 & -0.621464 & -6.8078 & 0 \tabularnewline
18 & -0.713787 & -7.8191 & 0 \tabularnewline
19 & -0.634949 & -6.9555 & 0 \tabularnewline
20 & -0.333587 & -3.6543 & 0.000192 \tabularnewline
21 & 0.002538 & 0.0278 & 0.488933 \tabularnewline
22 & 0.311611 & 3.4135 & 0.000438 \tabularnewline
23 & 0.61844 & 6.7747 & 0 \tabularnewline
24 & 0.728595 & 7.9814 & 0 \tabularnewline
25 & 0.579497 & 6.3481 & 0 \tabularnewline
26 & 0.31685 & 3.4709 & 0.000361 \tabularnewline
27 & -0.011895 & -0.1303 & 0.448273 \tabularnewline
28 & -0.339402 & -3.718 & 0.000153 \tabularnewline
29 & -0.560649 & -6.1416 & 0 \tabularnewline
30 & -0.632975 & -6.9339 & 0 \tabularnewline
31 & -0.541916 & -5.9364 & 0 \tabularnewline
32 & -0.283434 & -3.1049 & 0.001188 \tabularnewline
33 & -0.000692 & -0.0076 & 0.496984 \tabularnewline
34 & 0.278363 & 3.0493 & 0.001411 \tabularnewline
35 & 0.524252 & 5.7429 & 0 \tabularnewline
36 & 0.627578 & 6.8748 & 0 \tabularnewline
37 & 0.516192 & 5.6546 & 0 \tabularnewline
38 & 0.254208 & 2.7847 & 0.003114 \tabularnewline
39 & -0.013812 & -0.1513 & 0.439994 \tabularnewline
40 & -0.278256 & -3.0481 & 0.001416 \tabularnewline
41 & -0.482412 & -5.2846 & 0 \tabularnewline
42 & -0.549872 & -6.0235 & 0 \tabularnewline
43 & -0.466124 & -5.1061 & 1e-06 \tabularnewline
44 & -0.262502 & -2.8756 & 0.002387 \tabularnewline
45 & -0.000387 & -0.0042 & 0.498311 \tabularnewline
46 & 0.25155 & 2.7556 & 0.003386 \tabularnewline
47 & 0.437646 & 4.7942 & 2e-06 \tabularnewline
48 & 0.539029 & 5.9048 & 0 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107521&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]0.721997[/C][C]7.9091[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]0.378118[/C][C]4.1421[/C][C]3.2e-05[/C][/ROW]
[ROW][C]3[/C][C]0.00147[/C][C]0.0161[/C][C]0.493589[/C][/ROW]
[ROW][C]4[/C][C]-0.427046[/C][C]-4.6781[/C][C]4e-06[/C][/ROW]
[ROW][C]5[/C][C]-0.715973[/C][C]-7.8431[/C][C]0[/C][/ROW]
[ROW][C]6[/C][C]-0.798206[/C][C]-8.7439[/C][C]0[/C][/ROW]
[ROW][C]7[/C][C]-0.71598[/C][C]-7.8432[/C][C]0[/C][/ROW]
[ROW][C]8[/C][C]-0.385985[/C][C]-4.2283[/C][C]2.3e-05[/C][/ROW]
[ROW][C]9[/C][C]0.029647[/C][C]0.3248[/C][C]0.372961[/C][/ROW]
[ROW][C]10[/C][C]0.357428[/C][C]3.9154[/C][C]7.5e-05[/C][/ROW]
[ROW][C]11[/C][C]0.678533[/C][C]7.433[/C][C]0[/C][/ROW]
[ROW][C]12[/C][C]0.84901[/C][C]9.3004[/C][C]0[/C][/ROW]
[ROW][C]13[/C][C]0.657996[/C][C]7.208[/C][C]0[/C][/ROW]
[ROW][C]14[/C][C]0.358114[/C][C]3.9229[/C][C]7.3e-05[/C][/ROW]
[ROW][C]15[/C][C]-0.009708[/C][C]-0.1063[/C][C]0.457743[/C][/ROW]
[ROW][C]16[/C][C]-0.390924[/C][C]-4.2824[/C][C]1.9e-05[/C][/ROW]
[ROW][C]17[/C][C]-0.621464[/C][C]-6.8078[/C][C]0[/C][/ROW]
[ROW][C]18[/C][C]-0.713787[/C][C]-7.8191[/C][C]0[/C][/ROW]
[ROW][C]19[/C][C]-0.634949[/C][C]-6.9555[/C][C]0[/C][/ROW]
[ROW][C]20[/C][C]-0.333587[/C][C]-3.6543[/C][C]0.000192[/C][/ROW]
[ROW][C]21[/C][C]0.002538[/C][C]0.0278[/C][C]0.488933[/C][/ROW]
[ROW][C]22[/C][C]0.311611[/C][C]3.4135[/C][C]0.000438[/C][/ROW]
[ROW][C]23[/C][C]0.61844[/C][C]6.7747[/C][C]0[/C][/ROW]
[ROW][C]24[/C][C]0.728595[/C][C]7.9814[/C][C]0[/C][/ROW]
[ROW][C]25[/C][C]0.579497[/C][C]6.3481[/C][C]0[/C][/ROW]
[ROW][C]26[/C][C]0.31685[/C][C]3.4709[/C][C]0.000361[/C][/ROW]
[ROW][C]27[/C][C]-0.011895[/C][C]-0.1303[/C][C]0.448273[/C][/ROW]
[ROW][C]28[/C][C]-0.339402[/C][C]-3.718[/C][C]0.000153[/C][/ROW]
[ROW][C]29[/C][C]-0.560649[/C][C]-6.1416[/C][C]0[/C][/ROW]
[ROW][C]30[/C][C]-0.632975[/C][C]-6.9339[/C][C]0[/C][/ROW]
[ROW][C]31[/C][C]-0.541916[/C][C]-5.9364[/C][C]0[/C][/ROW]
[ROW][C]32[/C][C]-0.283434[/C][C]-3.1049[/C][C]0.001188[/C][/ROW]
[ROW][C]33[/C][C]-0.000692[/C][C]-0.0076[/C][C]0.496984[/C][/ROW]
[ROW][C]34[/C][C]0.278363[/C][C]3.0493[/C][C]0.001411[/C][/ROW]
[ROW][C]35[/C][C]0.524252[/C][C]5.7429[/C][C]0[/C][/ROW]
[ROW][C]36[/C][C]0.627578[/C][C]6.8748[/C][C]0[/C][/ROW]
[ROW][C]37[/C][C]0.516192[/C][C]5.6546[/C][C]0[/C][/ROW]
[ROW][C]38[/C][C]0.254208[/C][C]2.7847[/C][C]0.003114[/C][/ROW]
[ROW][C]39[/C][C]-0.013812[/C][C]-0.1513[/C][C]0.439994[/C][/ROW]
[ROW][C]40[/C][C]-0.278256[/C][C]-3.0481[/C][C]0.001416[/C][/ROW]
[ROW][C]41[/C][C]-0.482412[/C][C]-5.2846[/C][C]0[/C][/ROW]
[ROW][C]42[/C][C]-0.549872[/C][C]-6.0235[/C][C]0[/C][/ROW]
[ROW][C]43[/C][C]-0.466124[/C][C]-5.1061[/C][C]1e-06[/C][/ROW]
[ROW][C]44[/C][C]-0.262502[/C][C]-2.8756[/C][C]0.002387[/C][/ROW]
[ROW][C]45[/C][C]-0.000387[/C][C]-0.0042[/C][C]0.498311[/C][/ROW]
[ROW][C]46[/C][C]0.25155[/C][C]2.7556[/C][C]0.003386[/C][/ROW]
[ROW][C]47[/C][C]0.437646[/C][C]4.7942[/C][C]2e-06[/C][/ROW]
[ROW][C]48[/C][C]0.539029[/C][C]5.9048[/C][C]0[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107521&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107521&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
10.7219977.90910
20.3781184.14213.2e-05
30.001470.01610.493589
4-0.427046-4.67814e-06
5-0.715973-7.84310
6-0.798206-8.74390
7-0.71598-7.84320
8-0.385985-4.22832.3e-05
90.0296470.32480.372961
100.3574283.91547.5e-05
110.6785337.4330
120.849019.30040
130.6579967.2080
140.3581143.92297.3e-05
15-0.009708-0.10630.457743
16-0.390924-4.28241.9e-05
17-0.621464-6.80780
18-0.713787-7.81910
19-0.634949-6.95550
20-0.333587-3.65430.000192
210.0025380.02780.488933
220.3116113.41350.000438
230.618446.77470
240.7285957.98140
250.5794976.34810
260.316853.47090.000361
27-0.011895-0.13030.448273
28-0.339402-3.7180.000153
29-0.560649-6.14160
30-0.632975-6.93390
31-0.541916-5.93640
32-0.283434-3.10490.001188
33-0.000692-0.00760.496984
340.2783633.04930.001411
350.5242525.74290
360.6275786.87480
370.5161925.65460
380.2542082.78470.003114
39-0.013812-0.15130.439994
40-0.278256-3.04810.001416
41-0.482412-5.28460
42-0.549872-6.02350
43-0.466124-5.10611e-06
44-0.262502-2.87560.002387
45-0.000387-0.00420.498311
460.251552.75560.003386
470.4376464.79422e-06
480.5390295.90480






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.7219977.90910
2-0.299049-3.27590.000689
3-0.314878-3.44930.000388
4-0.508132-5.56630
5-0.343824-3.76640.000129
6-0.265166-2.90470.002188
7-0.330766-3.62340.000214
8-0.012209-0.13370.446917
9-0.005084-0.05570.477842
10-0.191771-2.10070.018879
110.1614861.7690.039718
120.3435923.76390.00013
13-0.160301-1.7560.040819
14-0.050542-0.55370.290421
150.0254270.27850.39054
160.1021071.11850.132788
170.1386451.51880.065724
180.0502980.5510.291332
190.0727320.79670.213588
200.0184970.20260.419885
21-0.11584-1.2690.103454
220.0424910.46550.321221
230.1828662.00320.023704
240.0372920.40850.34181
25-0.092168-1.00970.157346
26-0.08763-0.95990.169509
270.0906920.99350.161237
280.0157240.17220.431766
29-0.123171-1.34930.089895
300.1319171.44510.075522
310.0600840.65820.25584
32-0.083436-0.9140.181276
33-0.057407-0.62890.265318
340.0392380.42980.334045
35-0.056313-0.61690.269242
360.0193940.21240.416059
370.051410.56320.287187
38-0.111281-1.2190.112614
390.0341110.37370.354654
400.0274160.30030.382222
410.0041190.04510.482041
42-0.02351-0.25750.398602
43-0.028106-0.30790.379351
44-0.054615-0.59830.275391
450.0310140.33970.367323
460.0844670.92530.178336
47-0.080816-0.88530.188884
48-0.02429-0.26610.395317

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.721997 & 7.9091 & 0 \tabularnewline
2 & -0.299049 & -3.2759 & 0.000689 \tabularnewline
3 & -0.314878 & -3.4493 & 0.000388 \tabularnewline
4 & -0.508132 & -5.5663 & 0 \tabularnewline
5 & -0.343824 & -3.7664 & 0.000129 \tabularnewline
6 & -0.265166 & -2.9047 & 0.002188 \tabularnewline
7 & -0.330766 & -3.6234 & 0.000214 \tabularnewline
8 & -0.012209 & -0.1337 & 0.446917 \tabularnewline
9 & -0.005084 & -0.0557 & 0.477842 \tabularnewline
10 & -0.191771 & -2.1007 & 0.018879 \tabularnewline
11 & 0.161486 & 1.769 & 0.039718 \tabularnewline
12 & 0.343592 & 3.7639 & 0.00013 \tabularnewline
13 & -0.160301 & -1.756 & 0.040819 \tabularnewline
14 & -0.050542 & -0.5537 & 0.290421 \tabularnewline
15 & 0.025427 & 0.2785 & 0.39054 \tabularnewline
16 & 0.102107 & 1.1185 & 0.132788 \tabularnewline
17 & 0.138645 & 1.5188 & 0.065724 \tabularnewline
18 & 0.050298 & 0.551 & 0.291332 \tabularnewline
19 & 0.072732 & 0.7967 & 0.213588 \tabularnewline
20 & 0.018497 & 0.2026 & 0.419885 \tabularnewline
21 & -0.11584 & -1.269 & 0.103454 \tabularnewline
22 & 0.042491 & 0.4655 & 0.321221 \tabularnewline
23 & 0.182866 & 2.0032 & 0.023704 \tabularnewline
24 & 0.037292 & 0.4085 & 0.34181 \tabularnewline
25 & -0.092168 & -1.0097 & 0.157346 \tabularnewline
26 & -0.08763 & -0.9599 & 0.169509 \tabularnewline
27 & 0.090692 & 0.9935 & 0.161237 \tabularnewline
28 & 0.015724 & 0.1722 & 0.431766 \tabularnewline
29 & -0.123171 & -1.3493 & 0.089895 \tabularnewline
30 & 0.131917 & 1.4451 & 0.075522 \tabularnewline
31 & 0.060084 & 0.6582 & 0.25584 \tabularnewline
32 & -0.083436 & -0.914 & 0.181276 \tabularnewline
33 & -0.057407 & -0.6289 & 0.265318 \tabularnewline
34 & 0.039238 & 0.4298 & 0.334045 \tabularnewline
35 & -0.056313 & -0.6169 & 0.269242 \tabularnewline
36 & 0.019394 & 0.2124 & 0.416059 \tabularnewline
37 & 0.05141 & 0.5632 & 0.287187 \tabularnewline
38 & -0.111281 & -1.219 & 0.112614 \tabularnewline
39 & 0.034111 & 0.3737 & 0.354654 \tabularnewline
40 & 0.027416 & 0.3003 & 0.382222 \tabularnewline
41 & 0.004119 & 0.0451 & 0.482041 \tabularnewline
42 & -0.02351 & -0.2575 & 0.398602 \tabularnewline
43 & -0.028106 & -0.3079 & 0.379351 \tabularnewline
44 & -0.054615 & -0.5983 & 0.275391 \tabularnewline
45 & 0.031014 & 0.3397 & 0.367323 \tabularnewline
46 & 0.084467 & 0.9253 & 0.178336 \tabularnewline
47 & -0.080816 & -0.8853 & 0.188884 \tabularnewline
48 & -0.02429 & -0.2661 & 0.395317 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=107521&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]0.721997[/C][C]7.9091[/C][C]0[/C][/ROW]
[ROW][C]2[/C][C]-0.299049[/C][C]-3.2759[/C][C]0.000689[/C][/ROW]
[ROW][C]3[/C][C]-0.314878[/C][C]-3.4493[/C][C]0.000388[/C][/ROW]
[ROW][C]4[/C][C]-0.508132[/C][C]-5.5663[/C][C]0[/C][/ROW]
[ROW][C]5[/C][C]-0.343824[/C][C]-3.7664[/C][C]0.000129[/C][/ROW]
[ROW][C]6[/C][C]-0.265166[/C][C]-2.9047[/C][C]0.002188[/C][/ROW]
[ROW][C]7[/C][C]-0.330766[/C][C]-3.6234[/C][C]0.000214[/C][/ROW]
[ROW][C]8[/C][C]-0.012209[/C][C]-0.1337[/C][C]0.446917[/C][/ROW]
[ROW][C]9[/C][C]-0.005084[/C][C]-0.0557[/C][C]0.477842[/C][/ROW]
[ROW][C]10[/C][C]-0.191771[/C][C]-2.1007[/C][C]0.018879[/C][/ROW]
[ROW][C]11[/C][C]0.161486[/C][C]1.769[/C][C]0.039718[/C][/ROW]
[ROW][C]12[/C][C]0.343592[/C][C]3.7639[/C][C]0.00013[/C][/ROW]
[ROW][C]13[/C][C]-0.160301[/C][C]-1.756[/C][C]0.040819[/C][/ROW]
[ROW][C]14[/C][C]-0.050542[/C][C]-0.5537[/C][C]0.290421[/C][/ROW]
[ROW][C]15[/C][C]0.025427[/C][C]0.2785[/C][C]0.39054[/C][/ROW]
[ROW][C]16[/C][C]0.102107[/C][C]1.1185[/C][C]0.132788[/C][/ROW]
[ROW][C]17[/C][C]0.138645[/C][C]1.5188[/C][C]0.065724[/C][/ROW]
[ROW][C]18[/C][C]0.050298[/C][C]0.551[/C][C]0.291332[/C][/ROW]
[ROW][C]19[/C][C]0.072732[/C][C]0.7967[/C][C]0.213588[/C][/ROW]
[ROW][C]20[/C][C]0.018497[/C][C]0.2026[/C][C]0.419885[/C][/ROW]
[ROW][C]21[/C][C]-0.11584[/C][C]-1.269[/C][C]0.103454[/C][/ROW]
[ROW][C]22[/C][C]0.042491[/C][C]0.4655[/C][C]0.321221[/C][/ROW]
[ROW][C]23[/C][C]0.182866[/C][C]2.0032[/C][C]0.023704[/C][/ROW]
[ROW][C]24[/C][C]0.037292[/C][C]0.4085[/C][C]0.34181[/C][/ROW]
[ROW][C]25[/C][C]-0.092168[/C][C]-1.0097[/C][C]0.157346[/C][/ROW]
[ROW][C]26[/C][C]-0.08763[/C][C]-0.9599[/C][C]0.169509[/C][/ROW]
[ROW][C]27[/C][C]0.090692[/C][C]0.9935[/C][C]0.161237[/C][/ROW]
[ROW][C]28[/C][C]0.015724[/C][C]0.1722[/C][C]0.431766[/C][/ROW]
[ROW][C]29[/C][C]-0.123171[/C][C]-1.3493[/C][C]0.089895[/C][/ROW]
[ROW][C]30[/C][C]0.131917[/C][C]1.4451[/C][C]0.075522[/C][/ROW]
[ROW][C]31[/C][C]0.060084[/C][C]0.6582[/C][C]0.25584[/C][/ROW]
[ROW][C]32[/C][C]-0.083436[/C][C]-0.914[/C][C]0.181276[/C][/ROW]
[ROW][C]33[/C][C]-0.057407[/C][C]-0.6289[/C][C]0.265318[/C][/ROW]
[ROW][C]34[/C][C]0.039238[/C][C]0.4298[/C][C]0.334045[/C][/ROW]
[ROW][C]35[/C][C]-0.056313[/C][C]-0.6169[/C][C]0.269242[/C][/ROW]
[ROW][C]36[/C][C]0.019394[/C][C]0.2124[/C][C]0.416059[/C][/ROW]
[ROW][C]37[/C][C]0.05141[/C][C]0.5632[/C][C]0.287187[/C][/ROW]
[ROW][C]38[/C][C]-0.111281[/C][C]-1.219[/C][C]0.112614[/C][/ROW]
[ROW][C]39[/C][C]0.034111[/C][C]0.3737[/C][C]0.354654[/C][/ROW]
[ROW][C]40[/C][C]0.027416[/C][C]0.3003[/C][C]0.382222[/C][/ROW]
[ROW][C]41[/C][C]0.004119[/C][C]0.0451[/C][C]0.482041[/C][/ROW]
[ROW][C]42[/C][C]-0.02351[/C][C]-0.2575[/C][C]0.398602[/C][/ROW]
[ROW][C]43[/C][C]-0.028106[/C][C]-0.3079[/C][C]0.379351[/C][/ROW]
[ROW][C]44[/C][C]-0.054615[/C][C]-0.5983[/C][C]0.275391[/C][/ROW]
[ROW][C]45[/C][C]0.031014[/C][C]0.3397[/C][C]0.367323[/C][/ROW]
[ROW][C]46[/C][C]0.084467[/C][C]0.9253[/C][C]0.178336[/C][/ROW]
[ROW][C]47[/C][C]-0.080816[/C][C]-0.8853[/C][C]0.188884[/C][/ROW]
[ROW][C]48[/C][C]-0.02429[/C][C]-0.2661[/C][C]0.395317[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=107521&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=107521&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
10.7219977.90910
2-0.299049-3.27590.000689
3-0.314878-3.44930.000388
4-0.508132-5.56630
5-0.343824-3.76640.000129
6-0.265166-2.90470.002188
7-0.330766-3.62340.000214
8-0.012209-0.13370.446917
9-0.005084-0.05570.477842
10-0.191771-2.10070.018879
110.1614861.7690.039718
120.3435923.76390.00013
13-0.160301-1.7560.040819
14-0.050542-0.55370.290421
150.0254270.27850.39054
160.1021071.11850.132788
170.1386451.51880.065724
180.0502980.5510.291332
190.0727320.79670.213588
200.0184970.20260.419885
21-0.11584-1.2690.103454
220.0424910.46550.321221
230.1828662.00320.023704
240.0372920.40850.34181
25-0.092168-1.00970.157346
26-0.08763-0.95990.169509
270.0906920.99350.161237
280.0157240.17220.431766
29-0.123171-1.34930.089895
300.1319171.44510.075522
310.0600840.65820.25584
32-0.083436-0.9140.181276
33-0.057407-0.62890.265318
340.0392380.42980.334045
35-0.056313-0.61690.269242
360.0193940.21240.416059
370.051410.56320.287187
38-0.111281-1.2190.112614
390.0341110.37370.354654
400.0274160.30030.382222
410.0041190.04510.482041
42-0.02351-0.25750.398602
43-0.028106-0.30790.379351
44-0.054615-0.59830.275391
450.0310140.33970.367323
460.0844670.92530.178336
47-0.080816-0.88530.188884
48-0.02429-0.26610.395317


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 48 ; par2 = 1 ; par3 = 0 ; par4 = 0 ; par5 = 12 ; par6 = White Noise ; 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')