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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, 14 Nov 2011 14:45:03 -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/2011/Nov/14/t1321299964ygp864mj2iu0nng.htm/, Retrieved Fri, 26 Apr 2024 01:08:32 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=142353, Retrieved Fri, 26 Apr 2024 01:08:32 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywordsKDGP2W12
Estimated Impact72

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] [Trend autocorrela...] [2011-11-14 19:45:03] [b59b09b8e0844ceffdb892999921d72c] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
14.5
15.1
17.4
16.2
15.6
17.2
14.9
13.8
17.5
16.2
17.5
16.6
16.2
16.6
19.6
15.9
18
18.3
16.3
14.9
18.2
18.4
18.5
16
17.4
17.2
19.6
17.2
18.3
19.3
18.1
16.2
18.4
20.5
19
16.5
18.7
19
19.2
20.5
19.3
20.6
20.1
16.1
20.4
19.7
15.6
14.4
13.7
14.1
15
14.2
13.6
15.4
14.8
12.5
16.2
16.1
16
15.8
14.9
15.4
18.6
17.1
16.8
19.5
17.3
15.8
19.3
18.8
18.5
17.3

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'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 & 1 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142353&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]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142353&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142353&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'Gertrude Mary Cox' @ cox.wessa.net






Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.329024-2.77240.003551
2-0.30678-2.5850.005897
30.2174691.83240.035541
40.0502030.4230.336782
5-0.151175-1.27380.10344
60.230571.94280.028002
7-0.24597-2.07260.020922
80.2002971.68770.047926
90.0539660.45470.325348
10-0.339528-2.86090.002772
11-0.108551-0.91470.18173
120.5859134.9373e-06
13-0.22024-1.85580.033818
14-0.20085-1.69240.047478
150.0309770.2610.397416
160.0913860.770.221917
17-0.076799-0.64710.259821
180.0581260.48980.312901
19-0.106733-0.89930.185755
200.1726211.45450.075103
21-0.020397-0.17190.432015
22-0.2457-2.07030.021031
23-0.004156-0.0350.486083
240.3140382.64610.00501
25-0.023498-0.1980.421808
26-0.172494-1.45350.075251
27-0.061555-0.51870.302801
280.2021871.70370.046409
29-0.072499-0.61090.271613
30-0.027552-0.23220.408541
310.0605760.51040.30567
320.0350440.29530.384317
33-0.06239-0.52570.300366
34-0.028055-0.23640.406903
35-0.153457-1.29310.100092
360.277252.33610.011156
370.0286840.24170.404858
38-0.262241-2.20970.015177
390.0791770.66720.253418
400.1211551.02090.155391
41-0.164856-1.38910.084572
420.1274821.07420.14319
43-0.013445-0.11330.455059
44-0.034-0.28650.387669
450.0180550.15210.439757
46-0.028889-0.24340.40419
47-0.155585-1.3110.097044
480.2400052.02230.023456

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.329024 & -2.7724 & 0.003551 \tabularnewline
2 & -0.30678 & -2.585 & 0.005897 \tabularnewline
3 & 0.217469 & 1.8324 & 0.035541 \tabularnewline
4 & 0.050203 & 0.423 & 0.336782 \tabularnewline
5 & -0.151175 & -1.2738 & 0.10344 \tabularnewline
6 & 0.23057 & 1.9428 & 0.028002 \tabularnewline
7 & -0.24597 & -2.0726 & 0.020922 \tabularnewline
8 & 0.200297 & 1.6877 & 0.047926 \tabularnewline
9 & 0.053966 & 0.4547 & 0.325348 \tabularnewline
10 & -0.339528 & -2.8609 & 0.002772 \tabularnewline
11 & -0.108551 & -0.9147 & 0.18173 \tabularnewline
12 & 0.585913 & 4.937 & 3e-06 \tabularnewline
13 & -0.22024 & -1.8558 & 0.033818 \tabularnewline
14 & -0.20085 & -1.6924 & 0.047478 \tabularnewline
15 & 0.030977 & 0.261 & 0.397416 \tabularnewline
16 & 0.091386 & 0.77 & 0.221917 \tabularnewline
17 & -0.076799 & -0.6471 & 0.259821 \tabularnewline
18 & 0.058126 & 0.4898 & 0.312901 \tabularnewline
19 & -0.106733 & -0.8993 & 0.185755 \tabularnewline
20 & 0.172621 & 1.4545 & 0.075103 \tabularnewline
21 & -0.020397 & -0.1719 & 0.432015 \tabularnewline
22 & -0.2457 & -2.0703 & 0.021031 \tabularnewline
23 & -0.004156 & -0.035 & 0.486083 \tabularnewline
24 & 0.314038 & 2.6461 & 0.00501 \tabularnewline
25 & -0.023498 & -0.198 & 0.421808 \tabularnewline
26 & -0.172494 & -1.4535 & 0.075251 \tabularnewline
27 & -0.061555 & -0.5187 & 0.302801 \tabularnewline
28 & 0.202187 & 1.7037 & 0.046409 \tabularnewline
29 & -0.072499 & -0.6109 & 0.271613 \tabularnewline
30 & -0.027552 & -0.2322 & 0.408541 \tabularnewline
31 & 0.060576 & 0.5104 & 0.30567 \tabularnewline
32 & 0.035044 & 0.2953 & 0.384317 \tabularnewline
33 & -0.06239 & -0.5257 & 0.300366 \tabularnewline
34 & -0.028055 & -0.2364 & 0.406903 \tabularnewline
35 & -0.153457 & -1.2931 & 0.100092 \tabularnewline
36 & 0.27725 & 2.3361 & 0.011156 \tabularnewline
37 & 0.028684 & 0.2417 & 0.404858 \tabularnewline
38 & -0.262241 & -2.2097 & 0.015177 \tabularnewline
39 & 0.079177 & 0.6672 & 0.253418 \tabularnewline
40 & 0.121155 & 1.0209 & 0.155391 \tabularnewline
41 & -0.164856 & -1.3891 & 0.084572 \tabularnewline
42 & 0.127482 & 1.0742 & 0.14319 \tabularnewline
43 & -0.013445 & -0.1133 & 0.455059 \tabularnewline
44 & -0.034 & -0.2865 & 0.387669 \tabularnewline
45 & 0.018055 & 0.1521 & 0.439757 \tabularnewline
46 & -0.028889 & -0.2434 & 0.40419 \tabularnewline
47 & -0.155585 & -1.311 & 0.097044 \tabularnewline
48 & 0.240005 & 2.0223 & 0.023456 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142353&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]-0.329024[/C][C]-2.7724[/C][C]0.003551[/C][/ROW]
[ROW][C]2[/C][C]-0.30678[/C][C]-2.585[/C][C]0.005897[/C][/ROW]
[ROW][C]3[/C][C]0.217469[/C][C]1.8324[/C][C]0.035541[/C][/ROW]
[ROW][C]4[/C][C]0.050203[/C][C]0.423[/C][C]0.336782[/C][/ROW]
[ROW][C]5[/C][C]-0.151175[/C][C]-1.2738[/C][C]0.10344[/C][/ROW]
[ROW][C]6[/C][C]0.23057[/C][C]1.9428[/C][C]0.028002[/C][/ROW]
[ROW][C]7[/C][C]-0.24597[/C][C]-2.0726[/C][C]0.020922[/C][/ROW]
[ROW][C]8[/C][C]0.200297[/C][C]1.6877[/C][C]0.047926[/C][/ROW]
[ROW][C]9[/C][C]0.053966[/C][C]0.4547[/C][C]0.325348[/C][/ROW]
[ROW][C]10[/C][C]-0.339528[/C][C]-2.8609[/C][C]0.002772[/C][/ROW]
[ROW][C]11[/C][C]-0.108551[/C][C]-0.9147[/C][C]0.18173[/C][/ROW]
[ROW][C]12[/C][C]0.585913[/C][C]4.937[/C][C]3e-06[/C][/ROW]
[ROW][C]13[/C][C]-0.22024[/C][C]-1.8558[/C][C]0.033818[/C][/ROW]
[ROW][C]14[/C][C]-0.20085[/C][C]-1.6924[/C][C]0.047478[/C][/ROW]
[ROW][C]15[/C][C]0.030977[/C][C]0.261[/C][C]0.397416[/C][/ROW]
[ROW][C]16[/C][C]0.091386[/C][C]0.77[/C][C]0.221917[/C][/ROW]
[ROW][C]17[/C][C]-0.076799[/C][C]-0.6471[/C][C]0.259821[/C][/ROW]
[ROW][C]18[/C][C]0.058126[/C][C]0.4898[/C][C]0.312901[/C][/ROW]
[ROW][C]19[/C][C]-0.106733[/C][C]-0.8993[/C][C]0.185755[/C][/ROW]
[ROW][C]20[/C][C]0.172621[/C][C]1.4545[/C][C]0.075103[/C][/ROW]
[ROW][C]21[/C][C]-0.020397[/C][C]-0.1719[/C][C]0.432015[/C][/ROW]
[ROW][C]22[/C][C]-0.2457[/C][C]-2.0703[/C][C]0.021031[/C][/ROW]
[ROW][C]23[/C][C]-0.004156[/C][C]-0.035[/C][C]0.486083[/C][/ROW]
[ROW][C]24[/C][C]0.314038[/C][C]2.6461[/C][C]0.00501[/C][/ROW]
[ROW][C]25[/C][C]-0.023498[/C][C]-0.198[/C][C]0.421808[/C][/ROW]
[ROW][C]26[/C][C]-0.172494[/C][C]-1.4535[/C][C]0.075251[/C][/ROW]
[ROW][C]27[/C][C]-0.061555[/C][C]-0.5187[/C][C]0.302801[/C][/ROW]
[ROW][C]28[/C][C]0.202187[/C][C]1.7037[/C][C]0.046409[/C][/ROW]
[ROW][C]29[/C][C]-0.072499[/C][C]-0.6109[/C][C]0.271613[/C][/ROW]
[ROW][C]30[/C][C]-0.027552[/C][C]-0.2322[/C][C]0.408541[/C][/ROW]
[ROW][C]31[/C][C]0.060576[/C][C]0.5104[/C][C]0.30567[/C][/ROW]
[ROW][C]32[/C][C]0.035044[/C][C]0.2953[/C][C]0.384317[/C][/ROW]
[ROW][C]33[/C][C]-0.06239[/C][C]-0.5257[/C][C]0.300366[/C][/ROW]
[ROW][C]34[/C][C]-0.028055[/C][C]-0.2364[/C][C]0.406903[/C][/ROW]
[ROW][C]35[/C][C]-0.153457[/C][C]-1.2931[/C][C]0.100092[/C][/ROW]
[ROW][C]36[/C][C]0.27725[/C][C]2.3361[/C][C]0.011156[/C][/ROW]
[ROW][C]37[/C][C]0.028684[/C][C]0.2417[/C][C]0.404858[/C][/ROW]
[ROW][C]38[/C][C]-0.262241[/C][C]-2.2097[/C][C]0.015177[/C][/ROW]
[ROW][C]39[/C][C]0.079177[/C][C]0.6672[/C][C]0.253418[/C][/ROW]
[ROW][C]40[/C][C]0.121155[/C][C]1.0209[/C][C]0.155391[/C][/ROW]
[ROW][C]41[/C][C]-0.164856[/C][C]-1.3891[/C][C]0.084572[/C][/ROW]
[ROW][C]42[/C][C]0.127482[/C][C]1.0742[/C][C]0.14319[/C][/ROW]
[ROW][C]43[/C][C]-0.013445[/C][C]-0.1133[/C][C]0.455059[/C][/ROW]
[ROW][C]44[/C][C]-0.034[/C][C]-0.2865[/C][C]0.387669[/C][/ROW]
[ROW][C]45[/C][C]0.018055[/C][C]0.1521[/C][C]0.439757[/C][/ROW]
[ROW][C]46[/C][C]-0.028889[/C][C]-0.2434[/C][C]0.40419[/C][/ROW]
[ROW][C]47[/C][C]-0.155585[/C][C]-1.311[/C][C]0.097044[/C][/ROW]
[ROW][C]48[/C][C]0.240005[/C][C]2.0223[/C][C]0.023456[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142353&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142353&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
1-0.329024-2.77240.003551
2-0.30678-2.5850.005897
30.2174691.83240.035541
40.0502030.4230.336782
5-0.151175-1.27380.10344
60.230571.94280.028002
7-0.24597-2.07260.020922
80.2002971.68770.047926
90.0539660.45470.325348
10-0.339528-2.86090.002772
11-0.108551-0.91470.18173
120.5859134.9373e-06
13-0.22024-1.85580.033818
14-0.20085-1.69240.047478
150.0309770.2610.397416
160.0913860.770.221917
17-0.076799-0.64710.259821
180.0581260.48980.312901
19-0.106733-0.89930.185755
200.1726211.45450.075103
21-0.020397-0.17190.432015
22-0.2457-2.07030.021031
23-0.004156-0.0350.486083
240.3140382.64610.00501
25-0.023498-0.1980.421808
26-0.172494-1.45350.075251
27-0.061555-0.51870.302801
280.2021871.70370.046409
29-0.072499-0.61090.271613
30-0.027552-0.23220.408541
310.0605760.51040.30567
320.0350440.29530.384317
33-0.06239-0.52570.300366
34-0.028055-0.23640.406903
35-0.153457-1.29310.100092
360.277252.33610.011156
370.0286840.24170.404858
38-0.262241-2.20970.015177
390.0791770.66720.253418
400.1211551.02090.155391
41-0.164856-1.38910.084572
420.1274821.07420.14319
43-0.013445-0.11330.455059
44-0.034-0.28650.387669
450.0180550.15210.439757
46-0.028889-0.24340.40419
47-0.155585-1.3110.097044
480.2400052.02230.023456






Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.329024-2.77240.003551
2-0.465422-3.92171e-04
3-0.119647-1.00820.1584
4-0.04746-0.39990.345214
5-0.094437-0.79570.214417
60.2311161.94740.02772
7-0.185132-1.560.061609
80.2841692.39450.009644
90.0829730.69910.243373
10-0.233484-1.96740.026524
11-0.469322-3.95469e-05
120.1669421.40670.081942
130.2022551.70420.046355
140.0826850.69670.244127
15-0.196234-1.65350.051323
16-0.120902-1.01870.155892
17-0.058262-0.49090.312497
18-0.085655-0.72170.236412
190.0137420.11580.454071
20-0.079105-0.66660.253609
21-0.012027-0.10130.459784
22-0.056037-0.47220.319124
230.0774620.65270.258027
24-0.132777-1.11880.133498
250.0731950.61680.269685
260.0001350.00110.499547
27-0.040211-0.33880.367872
280.0994380.83790.202454
29-0.037911-0.31940.375165
300.0881560.74280.230021
310.0255480.21530.415085
32-0.060091-0.50630.307095
33-0.203681-1.71630.045238
340.0819510.69050.246056
35-0.112059-0.94420.174129
360.1266931.06750.144674
37-0.152414-1.28430.101612
38-0.101948-0.8590.196608
390.1790191.50840.067939
40-0.009249-0.07790.469049
410.0272020.22920.409684
42-0.085773-0.72270.236109
430.0412580.34760.364566
44-0.027606-0.23260.408365
45-0.01671-0.14080.444214
46-0.062245-0.52450.300786
47-0.069393-0.58470.280295
48-0.117156-0.98720.163455

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.329024 & -2.7724 & 0.003551 \tabularnewline
2 & -0.465422 & -3.9217 & 1e-04 \tabularnewline
3 & -0.119647 & -1.0082 & 0.1584 \tabularnewline
4 & -0.04746 & -0.3999 & 0.345214 \tabularnewline
5 & -0.094437 & -0.7957 & 0.214417 \tabularnewline
6 & 0.231116 & 1.9474 & 0.02772 \tabularnewline
7 & -0.185132 & -1.56 & 0.061609 \tabularnewline
8 & 0.284169 & 2.3945 & 0.009644 \tabularnewline
9 & 0.082973 & 0.6991 & 0.243373 \tabularnewline
10 & -0.233484 & -1.9674 & 0.026524 \tabularnewline
11 & -0.469322 & -3.9546 & 9e-05 \tabularnewline
12 & 0.166942 & 1.4067 & 0.081942 \tabularnewline
13 & 0.202255 & 1.7042 & 0.046355 \tabularnewline
14 & 0.082685 & 0.6967 & 0.244127 \tabularnewline
15 & -0.196234 & -1.6535 & 0.051323 \tabularnewline
16 & -0.120902 & -1.0187 & 0.155892 \tabularnewline
17 & -0.058262 & -0.4909 & 0.312497 \tabularnewline
18 & -0.085655 & -0.7217 & 0.236412 \tabularnewline
19 & 0.013742 & 0.1158 & 0.454071 \tabularnewline
20 & -0.079105 & -0.6666 & 0.253609 \tabularnewline
21 & -0.012027 & -0.1013 & 0.459784 \tabularnewline
22 & -0.056037 & -0.4722 & 0.319124 \tabularnewline
23 & 0.077462 & 0.6527 & 0.258027 \tabularnewline
24 & -0.132777 & -1.1188 & 0.133498 \tabularnewline
25 & 0.073195 & 0.6168 & 0.269685 \tabularnewline
26 & 0.000135 & 0.0011 & 0.499547 \tabularnewline
27 & -0.040211 & -0.3388 & 0.367872 \tabularnewline
28 & 0.099438 & 0.8379 & 0.202454 \tabularnewline
29 & -0.037911 & -0.3194 & 0.375165 \tabularnewline
30 & 0.088156 & 0.7428 & 0.230021 \tabularnewline
31 & 0.025548 & 0.2153 & 0.415085 \tabularnewline
32 & -0.060091 & -0.5063 & 0.307095 \tabularnewline
33 & -0.203681 & -1.7163 & 0.045238 \tabularnewline
34 & 0.081951 & 0.6905 & 0.246056 \tabularnewline
35 & -0.112059 & -0.9442 & 0.174129 \tabularnewline
36 & 0.126693 & 1.0675 & 0.144674 \tabularnewline
37 & -0.152414 & -1.2843 & 0.101612 \tabularnewline
38 & -0.101948 & -0.859 & 0.196608 \tabularnewline
39 & 0.179019 & 1.5084 & 0.067939 \tabularnewline
40 & -0.009249 & -0.0779 & 0.469049 \tabularnewline
41 & 0.027202 & 0.2292 & 0.409684 \tabularnewline
42 & -0.085773 & -0.7227 & 0.236109 \tabularnewline
43 & 0.041258 & 0.3476 & 0.364566 \tabularnewline
44 & -0.027606 & -0.2326 & 0.408365 \tabularnewline
45 & -0.01671 & -0.1408 & 0.444214 \tabularnewline
46 & -0.062245 & -0.5245 & 0.300786 \tabularnewline
47 & -0.069393 & -0.5847 & 0.280295 \tabularnewline
48 & -0.117156 & -0.9872 & 0.163455 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=142353&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]-0.329024[/C][C]-2.7724[/C][C]0.003551[/C][/ROW]
[ROW][C]2[/C][C]-0.465422[/C][C]-3.9217[/C][C]1e-04[/C][/ROW]
[ROW][C]3[/C][C]-0.119647[/C][C]-1.0082[/C][C]0.1584[/C][/ROW]
[ROW][C]4[/C][C]-0.04746[/C][C]-0.3999[/C][C]0.345214[/C][/ROW]
[ROW][C]5[/C][C]-0.094437[/C][C]-0.7957[/C][C]0.214417[/C][/ROW]
[ROW][C]6[/C][C]0.231116[/C][C]1.9474[/C][C]0.02772[/C][/ROW]
[ROW][C]7[/C][C]-0.185132[/C][C]-1.56[/C][C]0.061609[/C][/ROW]
[ROW][C]8[/C][C]0.284169[/C][C]2.3945[/C][C]0.009644[/C][/ROW]
[ROW][C]9[/C][C]0.082973[/C][C]0.6991[/C][C]0.243373[/C][/ROW]
[ROW][C]10[/C][C]-0.233484[/C][C]-1.9674[/C][C]0.026524[/C][/ROW]
[ROW][C]11[/C][C]-0.469322[/C][C]-3.9546[/C][C]9e-05[/C][/ROW]
[ROW][C]12[/C][C]0.166942[/C][C]1.4067[/C][C]0.081942[/C][/ROW]
[ROW][C]13[/C][C]0.202255[/C][C]1.7042[/C][C]0.046355[/C][/ROW]
[ROW][C]14[/C][C]0.082685[/C][C]0.6967[/C][C]0.244127[/C][/ROW]
[ROW][C]15[/C][C]-0.196234[/C][C]-1.6535[/C][C]0.051323[/C][/ROW]
[ROW][C]16[/C][C]-0.120902[/C][C]-1.0187[/C][C]0.155892[/C][/ROW]
[ROW][C]17[/C][C]-0.058262[/C][C]-0.4909[/C][C]0.312497[/C][/ROW]
[ROW][C]18[/C][C]-0.085655[/C][C]-0.7217[/C][C]0.236412[/C][/ROW]
[ROW][C]19[/C][C]0.013742[/C][C]0.1158[/C][C]0.454071[/C][/ROW]
[ROW][C]20[/C][C]-0.079105[/C][C]-0.6666[/C][C]0.253609[/C][/ROW]
[ROW][C]21[/C][C]-0.012027[/C][C]-0.1013[/C][C]0.459784[/C][/ROW]
[ROW][C]22[/C][C]-0.056037[/C][C]-0.4722[/C][C]0.319124[/C][/ROW]
[ROW][C]23[/C][C]0.077462[/C][C]0.6527[/C][C]0.258027[/C][/ROW]
[ROW][C]24[/C][C]-0.132777[/C][C]-1.1188[/C][C]0.133498[/C][/ROW]
[ROW][C]25[/C][C]0.073195[/C][C]0.6168[/C][C]0.269685[/C][/ROW]
[ROW][C]26[/C][C]0.000135[/C][C]0.0011[/C][C]0.499547[/C][/ROW]
[ROW][C]27[/C][C]-0.040211[/C][C]-0.3388[/C][C]0.367872[/C][/ROW]
[ROW][C]28[/C][C]0.099438[/C][C]0.8379[/C][C]0.202454[/C][/ROW]
[ROW][C]29[/C][C]-0.037911[/C][C]-0.3194[/C][C]0.375165[/C][/ROW]
[ROW][C]30[/C][C]0.088156[/C][C]0.7428[/C][C]0.230021[/C][/ROW]
[ROW][C]31[/C][C]0.025548[/C][C]0.2153[/C][C]0.415085[/C][/ROW]
[ROW][C]32[/C][C]-0.060091[/C][C]-0.5063[/C][C]0.307095[/C][/ROW]
[ROW][C]33[/C][C]-0.203681[/C][C]-1.7163[/C][C]0.045238[/C][/ROW]
[ROW][C]34[/C][C]0.081951[/C][C]0.6905[/C][C]0.246056[/C][/ROW]
[ROW][C]35[/C][C]-0.112059[/C][C]-0.9442[/C][C]0.174129[/C][/ROW]
[ROW][C]36[/C][C]0.126693[/C][C]1.0675[/C][C]0.144674[/C][/ROW]
[ROW][C]37[/C][C]-0.152414[/C][C]-1.2843[/C][C]0.101612[/C][/ROW]
[ROW][C]38[/C][C]-0.101948[/C][C]-0.859[/C][C]0.196608[/C][/ROW]
[ROW][C]39[/C][C]0.179019[/C][C]1.5084[/C][C]0.067939[/C][/ROW]
[ROW][C]40[/C][C]-0.009249[/C][C]-0.0779[/C][C]0.469049[/C][/ROW]
[ROW][C]41[/C][C]0.027202[/C][C]0.2292[/C][C]0.409684[/C][/ROW]
[ROW][C]42[/C][C]-0.085773[/C][C]-0.7227[/C][C]0.236109[/C][/ROW]
[ROW][C]43[/C][C]0.041258[/C][C]0.3476[/C][C]0.364566[/C][/ROW]
[ROW][C]44[/C][C]-0.027606[/C][C]-0.2326[/C][C]0.408365[/C][/ROW]
[ROW][C]45[/C][C]-0.01671[/C][C]-0.1408[/C][C]0.444214[/C][/ROW]
[ROW][C]46[/C][C]-0.062245[/C][C]-0.5245[/C][C]0.300786[/C][/ROW]
[ROW][C]47[/C][C]-0.069393[/C][C]-0.5847[/C][C]0.280295[/C][/ROW]
[ROW][C]48[/C][C]-0.117156[/C][C]-0.9872[/C][C]0.163455[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=142353&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=142353&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
1-0.329024-2.77240.003551
2-0.465422-3.92171e-04
3-0.119647-1.00820.1584
4-0.04746-0.39990.345214
5-0.094437-0.79570.214417
60.2311161.94740.02772
7-0.185132-1.560.061609
80.2841692.39450.009644
90.0829730.69910.243373
10-0.233484-1.96740.026524
11-0.469322-3.95469e-05
120.1669421.40670.081942
130.2022551.70420.046355
140.0826850.69670.244127
15-0.196234-1.65350.051323
16-0.120902-1.01870.155892
17-0.058262-0.49090.312497
18-0.085655-0.72170.236412
190.0137420.11580.454071
20-0.079105-0.66660.253609
21-0.012027-0.10130.459784
22-0.056037-0.47220.319124
230.0774620.65270.258027
24-0.132777-1.11880.133498
250.0731950.61680.269685
260.0001350.00110.499547
27-0.040211-0.33880.367872
280.0994380.83790.202454
29-0.037911-0.31940.375165
300.0881560.74280.230021
310.0255480.21530.415085
32-0.060091-0.50630.307095
33-0.203681-1.71630.045238
340.0819510.69050.246056
35-0.112059-0.94420.174129
360.1266931.06750.144674
37-0.152414-1.28430.101612
38-0.101948-0.8590.196608
390.1790191.50840.067939
40-0.009249-0.07790.469049
410.0272020.22920.409684
42-0.085773-0.72270.236109
430.0412580.34760.364566
44-0.027606-0.23260.408365
45-0.01671-0.14080.444214
46-0.062245-0.52450.300786
47-0.069393-0.58470.280295
48-0.117156-0.98720.163455


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')