FreeStatistics.org

Free Statistics

of Irreproducible Research!

Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_autocorrelation.wasp
Title produced by software(Partial) Autocorrelation Function
Date of computationMon, 17 Mar 2014 15:54:21 -0400
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Mar/17/t1395086128rqj3r1lpc2qrtow.htm/, Retrieved Mon, 13 May 2024 23:58:50 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=234319, Retrieved Mon, 13 May 2024 23:58:50 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact79

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2014-03-17 19:54:21] [5f7d0cda5d8a9348873c82369b6851b6] [Current]
Feedback Forum

Post a new message

Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
28,33
28,67
28,81
28,99
29,16
29,25
29,25
29,38
29,48
29,65
29,69
29,73
29,81
30,05
30,29
30,37
30,50
30,67
30,72
30,73
30,76
30,82
30,84
30,86
30,92
30,95
30,97
30,99
31,09
31,18
31,19
31,20
31,31
31,34
31,35
31,36
31,37
31,37
31,39
31,39
31,42
31,47
31,48
31,51
31,54
31,55
31,55
31,57
31,66
31,68
31,70
31,70
31,73
31,74
31,75
31,78
31,80
31,82
31,82
31,90

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time3 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 & 3 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234319&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]3 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=234319&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234319&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 time3 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
10.4727863.63150.000296
20.295532.270.013438
30.3025542.3240.011796
40.3429532.63430.005376
50.1801211.38350.085857
60.1930091.48250.07176
70.1703231.30830.097927
80.2247311.72620.044773
90.1218860.93620.176486
100.1448451.11260.135201
110.2218521.70410.046814
120.3589512.75720.003874
130.2652142.03710.023064
140.1204930.92550.179231
150.2109781.62060.055223
160.170771.31170.09735
17-0.054576-0.41920.338293
18-0.07155-0.54960.292338
190.0147510.11330.455087
200.0032850.02520.489978
21-0.103195-0.79270.215577
22-0.158761-1.21950.11376
23-0.082513-0.63380.264333
24-0.067454-0.51810.303155
25-0.084807-0.65140.258653
26-0.131784-1.01230.157775
27-0.006944-0.05330.478821
28-0.048442-0.37210.35558
29-0.151409-1.1630.124757
30-0.145389-1.11680.134314
31-0.022871-0.17570.430576
32-0.142514-1.09470.139055
33-0.183259-1.40760.082242
34-0.139009-1.06770.144992
35-0.135707-1.04240.150742
36-0.180893-1.38950.084957
37-0.195527-1.50190.069232
38-0.19257-1.47920.072209
39-0.130366-1.00140.160371
40-0.146996-1.12910.131713
41-0.182904-1.40490.082645
42-0.180945-1.38990.084896
43-0.145692-1.11910.133821
44-0.162147-1.24550.108941
45-0.120202-0.92330.179809
46-0.079371-0.60970.272215
47-0.037816-0.29050.386237
48-0.106236-0.8160.208888

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & 0.472786 & 3.6315 & 0.000296 \tabularnewline
2 & 0.29553 & 2.27 & 0.013438 \tabularnewline
3 & 0.302554 & 2.324 & 0.011796 \tabularnewline
4 & 0.342953 & 2.6343 & 0.005376 \tabularnewline
5 & 0.180121 & 1.3835 & 0.085857 \tabularnewline
6 & 0.193009 & 1.4825 & 0.07176 \tabularnewline
7 & 0.170323 & 1.3083 & 0.097927 \tabularnewline
8 & 0.224731 & 1.7262 & 0.044773 \tabularnewline
9 & 0.121886 & 0.9362 & 0.176486 \tabularnewline
10 & 0.144845 & 1.1126 & 0.135201 \tabularnewline
11 & 0.221852 & 1.7041 & 0.046814 \tabularnewline
12 & 0.358951 & 2.7572 & 0.003874 \tabularnewline
13 & 0.265214 & 2.0371 & 0.023064 \tabularnewline
14 & 0.120493 & 0.9255 & 0.179231 \tabularnewline
15 & 0.210978 & 1.6206 & 0.055223 \tabularnewline
16 & 0.17077 & 1.3117 & 0.09735 \tabularnewline
17 & -0.054576 & -0.4192 & 0.338293 \tabularnewline
18 & -0.07155 & -0.5496 & 0.292338 \tabularnewline
19 & 0.014751 & 0.1133 & 0.455087 \tabularnewline
20 & 0.003285 & 0.0252 & 0.489978 \tabularnewline
21 & -0.103195 & -0.7927 & 0.215577 \tabularnewline
22 & -0.158761 & -1.2195 & 0.11376 \tabularnewline
23 & -0.082513 & -0.6338 & 0.264333 \tabularnewline
24 & -0.067454 & -0.5181 & 0.303155 \tabularnewline
25 & -0.084807 & -0.6514 & 0.258653 \tabularnewline
26 & -0.131784 & -1.0123 & 0.157775 \tabularnewline
27 & -0.006944 & -0.0533 & 0.478821 \tabularnewline
28 & -0.048442 & -0.3721 & 0.35558 \tabularnewline
29 & -0.151409 & -1.163 & 0.124757 \tabularnewline
30 & -0.145389 & -1.1168 & 0.134314 \tabularnewline
31 & -0.022871 & -0.1757 & 0.430576 \tabularnewline
32 & -0.142514 & -1.0947 & 0.139055 \tabularnewline
33 & -0.183259 & -1.4076 & 0.082242 \tabularnewline
34 & -0.139009 & -1.0677 & 0.144992 \tabularnewline
35 & -0.135707 & -1.0424 & 0.150742 \tabularnewline
36 & -0.180893 & -1.3895 & 0.084957 \tabularnewline
37 & -0.195527 & -1.5019 & 0.069232 \tabularnewline
38 & -0.19257 & -1.4792 & 0.072209 \tabularnewline
39 & -0.130366 & -1.0014 & 0.160371 \tabularnewline
40 & -0.146996 & -1.1291 & 0.131713 \tabularnewline
41 & -0.182904 & -1.4049 & 0.082645 \tabularnewline
42 & -0.180945 & -1.3899 & 0.084896 \tabularnewline
43 & -0.145692 & -1.1191 & 0.133821 \tabularnewline
44 & -0.162147 & -1.2455 & 0.108941 \tabularnewline
45 & -0.120202 & -0.9233 & 0.179809 \tabularnewline
46 & -0.079371 & -0.6097 & 0.272215 \tabularnewline
47 & -0.037816 & -0.2905 & 0.386237 \tabularnewline
48 & -0.106236 & -0.816 & 0.208888 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234319&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]0.472786[/C][C]3.6315[/C][C]0.000296[/C][/ROW]
[ROW][C]2[/C][C]0.29553[/C][C]2.27[/C][C]0.013438[/C][/ROW]
[ROW][C]3[/C][C]0.302554[/C][C]2.324[/C][C]0.011796[/C][/ROW]
[ROW][C]4[/C][C]0.342953[/C][C]2.6343[/C][C]0.005376[/C][/ROW]
[ROW][C]5[/C][C]0.180121[/C][C]1.3835[/C][C]0.085857[/C][/ROW]
[ROW][C]6[/C][C]0.193009[/C][C]1.4825[/C][C]0.07176[/C][/ROW]
[ROW][C]7[/C][C]0.170323[/C][C]1.3083[/C][C]0.097927[/C][/ROW]
[ROW][C]8[/C][C]0.224731[/C][C]1.7262[/C][C]0.044773[/C][/ROW]
[ROW][C]9[/C][C]0.121886[/C][C]0.9362[/C][C]0.176486[/C][/ROW]
[ROW][C]10[/C][C]0.144845[/C][C]1.1126[/C][C]0.135201[/C][/ROW]
[ROW][C]11[/C][C]0.221852[/C][C]1.7041[/C][C]0.046814[/C][/ROW]
[ROW][C]12[/C][C]0.358951[/C][C]2.7572[/C][C]0.003874[/C][/ROW]
[ROW][C]13[/C][C]0.265214[/C][C]2.0371[/C][C]0.023064[/C][/ROW]
[ROW][C]14[/C][C]0.120493[/C][C]0.9255[/C][C]0.179231[/C][/ROW]
[ROW][C]15[/C][C]0.210978[/C][C]1.6206[/C][C]0.055223[/C][/ROW]
[ROW][C]16[/C][C]0.17077[/C][C]1.3117[/C][C]0.09735[/C][/ROW]
[ROW][C]17[/C][C]-0.054576[/C][C]-0.4192[/C][C]0.338293[/C][/ROW]
[ROW][C]18[/C][C]-0.07155[/C][C]-0.5496[/C][C]0.292338[/C][/ROW]
[ROW][C]19[/C][C]0.014751[/C][C]0.1133[/C][C]0.455087[/C][/ROW]
[ROW][C]20[/C][C]0.003285[/C][C]0.0252[/C][C]0.489978[/C][/ROW]
[ROW][C]21[/C][C]-0.103195[/C][C]-0.7927[/C][C]0.215577[/C][/ROW]
[ROW][C]22[/C][C]-0.158761[/C][C]-1.2195[/C][C]0.11376[/C][/ROW]
[ROW][C]23[/C][C]-0.082513[/C][C]-0.6338[/C][C]0.264333[/C][/ROW]
[ROW][C]24[/C][C]-0.067454[/C][C]-0.5181[/C][C]0.303155[/C][/ROW]
[ROW][C]25[/C][C]-0.084807[/C][C]-0.6514[/C][C]0.258653[/C][/ROW]
[ROW][C]26[/C][C]-0.131784[/C][C]-1.0123[/C][C]0.157775[/C][/ROW]
[ROW][C]27[/C][C]-0.006944[/C][C]-0.0533[/C][C]0.478821[/C][/ROW]
[ROW][C]28[/C][C]-0.048442[/C][C]-0.3721[/C][C]0.35558[/C][/ROW]
[ROW][C]29[/C][C]-0.151409[/C][C]-1.163[/C][C]0.124757[/C][/ROW]
[ROW][C]30[/C][C]-0.145389[/C][C]-1.1168[/C][C]0.134314[/C][/ROW]
[ROW][C]31[/C][C]-0.022871[/C][C]-0.1757[/C][C]0.430576[/C][/ROW]
[ROW][C]32[/C][C]-0.142514[/C][C]-1.0947[/C][C]0.139055[/C][/ROW]
[ROW][C]33[/C][C]-0.183259[/C][C]-1.4076[/C][C]0.082242[/C][/ROW]
[ROW][C]34[/C][C]-0.139009[/C][C]-1.0677[/C][C]0.144992[/C][/ROW]
[ROW][C]35[/C][C]-0.135707[/C][C]-1.0424[/C][C]0.150742[/C][/ROW]
[ROW][C]36[/C][C]-0.180893[/C][C]-1.3895[/C][C]0.084957[/C][/ROW]
[ROW][C]37[/C][C]-0.195527[/C][C]-1.5019[/C][C]0.069232[/C][/ROW]
[ROW][C]38[/C][C]-0.19257[/C][C]-1.4792[/C][C]0.072209[/C][/ROW]
[ROW][C]39[/C][C]-0.130366[/C][C]-1.0014[/C][C]0.160371[/C][/ROW]
[ROW][C]40[/C][C]-0.146996[/C][C]-1.1291[/C][C]0.131713[/C][/ROW]
[ROW][C]41[/C][C]-0.182904[/C][C]-1.4049[/C][C]0.082645[/C][/ROW]
[ROW][C]42[/C][C]-0.180945[/C][C]-1.3899[/C][C]0.084896[/C][/ROW]
[ROW][C]43[/C][C]-0.145692[/C][C]-1.1191[/C][C]0.133821[/C][/ROW]
[ROW][C]44[/C][C]-0.162147[/C][C]-1.2455[/C][C]0.108941[/C][/ROW]
[ROW][C]45[/C][C]-0.120202[/C][C]-0.9233[/C][C]0.179809[/C][/ROW]
[ROW][C]46[/C][C]-0.079371[/C][C]-0.6097[/C][C]0.272215[/C][/ROW]
[ROW][C]47[/C][C]-0.037816[/C][C]-0.2905[/C][C]0.386237[/C][/ROW]
[ROW][C]48[/C][C]-0.106236[/C][C]-0.816[/C][C]0.208888[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234319&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234319&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
10.4727863.63150.000296
20.295532.270.013438
30.3025542.3240.011796
40.3429532.63430.005376
50.1801211.38350.085857
60.1930091.48250.07176
70.1703231.30830.097927
80.2247311.72620.044773
90.1218860.93620.176486
100.1448451.11260.135201
110.2218521.70410.046814
120.3589512.75720.003874
130.2652142.03710.023064
140.1204930.92550.179231
150.2109781.62060.055223
160.170771.31170.09735
17-0.054576-0.41920.338293
18-0.07155-0.54960.292338
190.0147510.11330.455087
200.0032850.02520.489978
21-0.103195-0.79270.215577
22-0.158761-1.21950.11376
23-0.082513-0.63380.264333
24-0.067454-0.51810.303155
25-0.084807-0.65140.258653
26-0.131784-1.01230.157775
27-0.006944-0.05330.478821
28-0.048442-0.37210.35558
29-0.151409-1.1630.124757
30-0.145389-1.11680.134314
31-0.022871-0.17570.430576
32-0.142514-1.09470.139055
33-0.183259-1.40760.082242
34-0.139009-1.06770.144992
35-0.135707-1.04240.150742
36-0.180893-1.38950.084957
37-0.195527-1.50190.069232
38-0.19257-1.47920.072209
39-0.130366-1.00140.160371
40-0.146996-1.12910.131713
41-0.182904-1.40490.082645
42-0.180945-1.38990.084896
43-0.145692-1.11910.133821
44-0.162147-1.24550.108941
45-0.120202-0.92330.179809
46-0.079371-0.60970.272215
47-0.037816-0.29050.386237
48-0.106236-0.8160.208888






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
10.4727863.63150.000296
20.0927320.71230.239548
30.1714041.31660.096536
40.1756861.34950.09117
5-0.09428-0.72420.235909
60.0892510.68550.247841
7-0.011331-0.0870.465471
80.1151330.88440.190047
9-0.058351-0.44820.327824
100.0511220.39270.347987
110.1346411.03420.152632
120.2223851.70820.046431
130.0286660.22020.413243
14-0.160783-1.2350.110863
150.1110170.85270.198627
16-0.117108-0.89950.186016
17-0.235544-1.80920.037754
18-0.067978-0.52220.30176
19-0.012916-0.09920.460653
200.0126540.09720.46145
21-0.089137-0.68470.248114
22-0.120927-0.92890.178374
23-0.044403-0.34110.367132
24-0.072278-0.55520.290437
25-0.010213-0.07840.468869
26-0.086651-0.66560.254137
270.1106360.84980.199434
28-0.040726-0.31280.377761
290.0319450.24540.403508
300.0812750.62430.267424
310.0487260.37430.354772
32-0.062039-0.47650.317729
330.0062140.04770.481047
340.0869530.66790.253401
35-0.099485-0.76420.223909
360.0034080.02620.489601
37-0.012173-0.09350.462912
38-0.049193-0.37790.353445
39-0.033768-0.25940.398122
40-0.100268-0.77020.222136
41-0.009185-0.07060.471995
42-0.106315-0.81660.208715
43-0.116671-0.89620.186902
44-0.005745-0.04410.482474
450.1087460.83530.20346
46-0.014229-0.10930.45667
470.0656440.50420.307992
480.0628470.48270.315533

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & 0.472786 & 3.6315 & 0.000296 \tabularnewline
2 & 0.092732 & 0.7123 & 0.239548 \tabularnewline
3 & 0.171404 & 1.3166 & 0.096536 \tabularnewline
4 & 0.175686 & 1.3495 & 0.09117 \tabularnewline
5 & -0.09428 & -0.7242 & 0.235909 \tabularnewline
6 & 0.089251 & 0.6855 & 0.247841 \tabularnewline
7 & -0.011331 & -0.087 & 0.465471 \tabularnewline
8 & 0.115133 & 0.8844 & 0.190047 \tabularnewline
9 & -0.058351 & -0.4482 & 0.327824 \tabularnewline
10 & 0.051122 & 0.3927 & 0.347987 \tabularnewline
11 & 0.134641 & 1.0342 & 0.152632 \tabularnewline
12 & 0.222385 & 1.7082 & 0.046431 \tabularnewline
13 & 0.028666 & 0.2202 & 0.413243 \tabularnewline
14 & -0.160783 & -1.235 & 0.110863 \tabularnewline
15 & 0.111017 & 0.8527 & 0.198627 \tabularnewline
16 & -0.117108 & -0.8995 & 0.186016 \tabularnewline
17 & -0.235544 & -1.8092 & 0.037754 \tabularnewline
18 & -0.067978 & -0.5222 & 0.30176 \tabularnewline
19 & -0.012916 & -0.0992 & 0.460653 \tabularnewline
20 & 0.012654 & 0.0972 & 0.46145 \tabularnewline
21 & -0.089137 & -0.6847 & 0.248114 \tabularnewline
22 & -0.120927 & -0.9289 & 0.178374 \tabularnewline
23 & -0.044403 & -0.3411 & 0.367132 \tabularnewline
24 & -0.072278 & -0.5552 & 0.290437 \tabularnewline
25 & -0.010213 & -0.0784 & 0.468869 \tabularnewline
26 & -0.086651 & -0.6656 & 0.254137 \tabularnewline
27 & 0.110636 & 0.8498 & 0.199434 \tabularnewline
28 & -0.040726 & -0.3128 & 0.377761 \tabularnewline
29 & 0.031945 & 0.2454 & 0.403508 \tabularnewline
30 & 0.081275 & 0.6243 & 0.267424 \tabularnewline
31 & 0.048726 & 0.3743 & 0.354772 \tabularnewline
32 & -0.062039 & -0.4765 & 0.317729 \tabularnewline
33 & 0.006214 & 0.0477 & 0.481047 \tabularnewline
34 & 0.086953 & 0.6679 & 0.253401 \tabularnewline
35 & -0.099485 & -0.7642 & 0.223909 \tabularnewline
36 & 0.003408 & 0.0262 & 0.489601 \tabularnewline
37 & -0.012173 & -0.0935 & 0.462912 \tabularnewline
38 & -0.049193 & -0.3779 & 0.353445 \tabularnewline
39 & -0.033768 & -0.2594 & 0.398122 \tabularnewline
40 & -0.100268 & -0.7702 & 0.222136 \tabularnewline
41 & -0.009185 & -0.0706 & 0.471995 \tabularnewline
42 & -0.106315 & -0.8166 & 0.208715 \tabularnewline
43 & -0.116671 & -0.8962 & 0.186902 \tabularnewline
44 & -0.005745 & -0.0441 & 0.482474 \tabularnewline
45 & 0.108746 & 0.8353 & 0.20346 \tabularnewline
46 & -0.014229 & -0.1093 & 0.45667 \tabularnewline
47 & 0.065644 & 0.5042 & 0.307992 \tabularnewline
48 & 0.062847 & 0.4827 & 0.315533 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=234319&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]0.472786[/C][C]3.6315[/C][C]0.000296[/C][/ROW]
[ROW][C]2[/C][C]0.092732[/C][C]0.7123[/C][C]0.239548[/C][/ROW]
[ROW][C]3[/C][C]0.171404[/C][C]1.3166[/C][C]0.096536[/C][/ROW]
[ROW][C]4[/C][C]0.175686[/C][C]1.3495[/C][C]0.09117[/C][/ROW]
[ROW][C]5[/C][C]-0.09428[/C][C]-0.7242[/C][C]0.235909[/C][/ROW]
[ROW][C]6[/C][C]0.089251[/C][C]0.6855[/C][C]0.247841[/C][/ROW]
[ROW][C]7[/C][C]-0.011331[/C][C]-0.087[/C][C]0.465471[/C][/ROW]
[ROW][C]8[/C][C]0.115133[/C][C]0.8844[/C][C]0.190047[/C][/ROW]
[ROW][C]9[/C][C]-0.058351[/C][C]-0.4482[/C][C]0.327824[/C][/ROW]
[ROW][C]10[/C][C]0.051122[/C][C]0.3927[/C][C]0.347987[/C][/ROW]
[ROW][C]11[/C][C]0.134641[/C][C]1.0342[/C][C]0.152632[/C][/ROW]
[ROW][C]12[/C][C]0.222385[/C][C]1.7082[/C][C]0.046431[/C][/ROW]
[ROW][C]13[/C][C]0.028666[/C][C]0.2202[/C][C]0.413243[/C][/ROW]
[ROW][C]14[/C][C]-0.160783[/C][C]-1.235[/C][C]0.110863[/C][/ROW]
[ROW][C]15[/C][C]0.111017[/C][C]0.8527[/C][C]0.198627[/C][/ROW]
[ROW][C]16[/C][C]-0.117108[/C][C]-0.8995[/C][C]0.186016[/C][/ROW]
[ROW][C]17[/C][C]-0.235544[/C][C]-1.8092[/C][C]0.037754[/C][/ROW]
[ROW][C]18[/C][C]-0.067978[/C][C]-0.5222[/C][C]0.30176[/C][/ROW]
[ROW][C]19[/C][C]-0.012916[/C][C]-0.0992[/C][C]0.460653[/C][/ROW]
[ROW][C]20[/C][C]0.012654[/C][C]0.0972[/C][C]0.46145[/C][/ROW]
[ROW][C]21[/C][C]-0.089137[/C][C]-0.6847[/C][C]0.248114[/C][/ROW]
[ROW][C]22[/C][C]-0.120927[/C][C]-0.9289[/C][C]0.178374[/C][/ROW]
[ROW][C]23[/C][C]-0.044403[/C][C]-0.3411[/C][C]0.367132[/C][/ROW]
[ROW][C]24[/C][C]-0.072278[/C][C]-0.5552[/C][C]0.290437[/C][/ROW]
[ROW][C]25[/C][C]-0.010213[/C][C]-0.0784[/C][C]0.468869[/C][/ROW]
[ROW][C]26[/C][C]-0.086651[/C][C]-0.6656[/C][C]0.254137[/C][/ROW]
[ROW][C]27[/C][C]0.110636[/C][C]0.8498[/C][C]0.199434[/C][/ROW]
[ROW][C]28[/C][C]-0.040726[/C][C]-0.3128[/C][C]0.377761[/C][/ROW]
[ROW][C]29[/C][C]0.031945[/C][C]0.2454[/C][C]0.403508[/C][/ROW]
[ROW][C]30[/C][C]0.081275[/C][C]0.6243[/C][C]0.267424[/C][/ROW]
[ROW][C]31[/C][C]0.048726[/C][C]0.3743[/C][C]0.354772[/C][/ROW]
[ROW][C]32[/C][C]-0.062039[/C][C]-0.4765[/C][C]0.317729[/C][/ROW]
[ROW][C]33[/C][C]0.006214[/C][C]0.0477[/C][C]0.481047[/C][/ROW]
[ROW][C]34[/C][C]0.086953[/C][C]0.6679[/C][C]0.253401[/C][/ROW]
[ROW][C]35[/C][C]-0.099485[/C][C]-0.7642[/C][C]0.223909[/C][/ROW]
[ROW][C]36[/C][C]0.003408[/C][C]0.0262[/C][C]0.489601[/C][/ROW]
[ROW][C]37[/C][C]-0.012173[/C][C]-0.0935[/C][C]0.462912[/C][/ROW]
[ROW][C]38[/C][C]-0.049193[/C][C]-0.3779[/C][C]0.353445[/C][/ROW]
[ROW][C]39[/C][C]-0.033768[/C][C]-0.2594[/C][C]0.398122[/C][/ROW]
[ROW][C]40[/C][C]-0.100268[/C][C]-0.7702[/C][C]0.222136[/C][/ROW]
[ROW][C]41[/C][C]-0.009185[/C][C]-0.0706[/C][C]0.471995[/C][/ROW]
[ROW][C]42[/C][C]-0.106315[/C][C]-0.8166[/C][C]0.208715[/C][/ROW]
[ROW][C]43[/C][C]-0.116671[/C][C]-0.8962[/C][C]0.186902[/C][/ROW]
[ROW][C]44[/C][C]-0.005745[/C][C]-0.0441[/C][C]0.482474[/C][/ROW]
[ROW][C]45[/C][C]0.108746[/C][C]0.8353[/C][C]0.20346[/C][/ROW]
[ROW][C]46[/C][C]-0.014229[/C][C]-0.1093[/C][C]0.45667[/C][/ROW]
[ROW][C]47[/C][C]0.065644[/C][C]0.5042[/C][C]0.307992[/C][/ROW]
[ROW][C]48[/C][C]0.062847[/C][C]0.4827[/C][C]0.315533[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=234319&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=234319&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
10.4727863.63150.000296
20.0927320.71230.239548
30.1714041.31660.096536
40.1756861.34950.09117
5-0.09428-0.72420.235909
60.0892510.68550.247841
7-0.011331-0.0870.465471
80.1151330.88440.190047
9-0.058351-0.44820.327824
100.0511220.39270.347987
110.1346411.03420.152632
120.2223851.70820.046431
130.0286660.22020.413243
14-0.160783-1.2350.110863
150.1110170.85270.198627
16-0.117108-0.89950.186016
17-0.235544-1.80920.037754
18-0.067978-0.52220.30176
19-0.012916-0.09920.460653
200.0126540.09720.46145
21-0.089137-0.68470.248114
22-0.120927-0.92890.178374
23-0.044403-0.34110.367132
24-0.072278-0.55520.290437
25-0.010213-0.07840.468869
26-0.086651-0.66560.254137
270.1106360.84980.199434
28-0.040726-0.31280.377761
290.0319450.24540.403508
300.0812750.62430.267424
310.0487260.37430.354772
32-0.062039-0.47650.317729
330.0062140.04770.481047
340.0869530.66790.253401
35-0.099485-0.76420.223909
360.0034080.02620.489601
37-0.012173-0.09350.462912
38-0.049193-0.37790.353445
39-0.033768-0.25940.398122
40-0.100268-0.77020.222136
41-0.009185-0.07060.471995
42-0.106315-0.81660.208715
43-0.116671-0.89620.186902
44-0.005745-0.04410.482474
450.1087460.83530.20346
46-0.014229-0.10930.45667
470.0656440.50420.307992
480.0628470.48270.315533


Figures (Output of Computation)

Input Parameters & R Code

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