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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 computationThu, 08 Dec 2011 09:32:07 -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/Dec/08/t1323354744cjsbywpv3m2koi4.htm/, Retrieved Fri, 03 May 2024 12:12:23 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=152950, Retrieved Fri, 03 May 2024 12:12:23 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact86
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [(Partial) Autocorrelation Function] [] [2011-12-08 14:32:07] [c7041fab4904771a5085f5eb0f28763f] [Current]
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Dataseries X:
4581945
3874038
4086290
4364364
3793586
4533914
4823043
3981535
4746356
5284534
4264830
3924674
3734753
3762290
3609739
3877594
3636415
3578195
3604342
3459513
3366571
3371277
3724848
3350830
3305159
3390736
3349758
3253655
3734250
3455433
2966726
2993716
3009320
3169713
3170061
3368934
3292638
3337344
3208306
3359130
3223078
3437159
3400156
3657576
3765613
3481921
3604800
3981340
3734078
4018173
3887417
3919880
4014466
4197758
3896531
3964742
4201847
4050512
3997402
4314479
4925744
5130631
4444855
3967319
3931250
4235952
4169219
3779064
3558810
3699466
3650693
3525633
3470276
3859094
3661155
3356365
3344440
3338684
3404294
3289319
3469252
3571850
3639914
3091730
3078149
3188115
3246082
3486992
3378187
3282306
3288345
3325749
3352262
3531954
3722622
3809365
3750617
3615286
3696556
4123959
4136163
3933392
4035576
4551202
4032195
3970893
4489016
5426127
4578224
4126390
4892100
4128697
4408721
4199465
4074767
4161758
3891319
4470302
4283111
3845962
3911471
3798478
3644313
3784029
3647134
3994662
3607836
3566008
3511412
3258665
3486573
3369443
3465544
3905224
3733881
3220642
3225812
3354461
3352261
3450652




Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time2 seconds
R Server'George Udny Yule' @ yule.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 & 2 seconds \tabularnewline
R Server & 'George Udny Yule' @ yule.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152950&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]'George Udny Yule' @ yule.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152950&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152950&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 time2 seconds
R Server'George Udny Yule' @ yule.wessa.net







Autocorrelation Function
Time lag kACF(k)T-STATP-value
1-0.244184-2.75180.003397
2-0.302271-3.40640.000441
30.1854792.09020.019295
4-0.010439-0.11760.453267
5-0.071788-0.8090.210011
60.0019280.02170.491351
70.0838260.94470.173311
8-0.018093-0.20390.419382
9-0.042777-0.48210.315294
100.1243811.40170.081722
110.0546220.61560.269642
12-0.32752-3.6910.000165
130.1977782.22880.013791
140.0160560.18090.42835
15-0.044274-0.49890.309343
16-0.005389-0.06070.475835
17-0.014995-0.1690.433038
180.0559440.63050.264766
19-0.059708-0.67290.251125
200.0017350.01950.492217
210.0290570.32750.371933
22-0.01224-0.13790.445255
23-0.04034-0.45460.325084
24-0.063808-0.71910.236706
250.0058060.06540.473965
260.0124740.14060.444212
27-0.009494-0.1070.457484
280.0174640.19680.422147
29-0.061658-0.69480.24421
300.0288050.32460.373004
31-0.021533-0.24270.404326
32-0.047921-0.540.295056
330.022720.2560.399165
340.0384740.43360.332664
35-0.081452-0.91790.1802
36-0.004636-0.05220.47921
370.047210.5320.297818
380.1025351.15550.125024
39-0.055023-0.62010.268159
40-0.138859-1.56490.060052
410.0777690.87640.191231
42-0.029-0.32680.372173
430.0558160.6290.265235
44-0.020679-0.2330.408054
45-0.046538-0.52450.300437
460.0386730.43580.331855
470.175531.97810.02504
48-0.070217-0.79130.21512
49-0.113983-1.28450.100649
500.0134520.15160.439875
510.0816680.92040.179566
520.0835450.94150.174116
53-0.056953-0.64180.26107
540.0335650.37830.352935
55-0.07001-0.7890.215799
560.0526110.59290.277151
570.0611710.68940.245927
58-0.01934-0.21790.413909
59-0.076123-0.85790.196292
600.0798590.90.184922

\begin{tabular}{lllllllll}
\hline
Autocorrelation Function \tabularnewline
Time lag k & ACF(k) & T-STAT & P-value \tabularnewline
1 & -0.244184 & -2.7518 & 0.003397 \tabularnewline
2 & -0.302271 & -3.4064 & 0.000441 \tabularnewline
3 & 0.185479 & 2.0902 & 0.019295 \tabularnewline
4 & -0.010439 & -0.1176 & 0.453267 \tabularnewline
5 & -0.071788 & -0.809 & 0.210011 \tabularnewline
6 & 0.001928 & 0.0217 & 0.491351 \tabularnewline
7 & 0.083826 & 0.9447 & 0.173311 \tabularnewline
8 & -0.018093 & -0.2039 & 0.419382 \tabularnewline
9 & -0.042777 & -0.4821 & 0.315294 \tabularnewline
10 & 0.124381 & 1.4017 & 0.081722 \tabularnewline
11 & 0.054622 & 0.6156 & 0.269642 \tabularnewline
12 & -0.32752 & -3.691 & 0.000165 \tabularnewline
13 & 0.197778 & 2.2288 & 0.013791 \tabularnewline
14 & 0.016056 & 0.1809 & 0.42835 \tabularnewline
15 & -0.044274 & -0.4989 & 0.309343 \tabularnewline
16 & -0.005389 & -0.0607 & 0.475835 \tabularnewline
17 & -0.014995 & -0.169 & 0.433038 \tabularnewline
18 & 0.055944 & 0.6305 & 0.264766 \tabularnewline
19 & -0.059708 & -0.6729 & 0.251125 \tabularnewline
20 & 0.001735 & 0.0195 & 0.492217 \tabularnewline
21 & 0.029057 & 0.3275 & 0.371933 \tabularnewline
22 & -0.01224 & -0.1379 & 0.445255 \tabularnewline
23 & -0.04034 & -0.4546 & 0.325084 \tabularnewline
24 & -0.063808 & -0.7191 & 0.236706 \tabularnewline
25 & 0.005806 & 0.0654 & 0.473965 \tabularnewline
26 & 0.012474 & 0.1406 & 0.444212 \tabularnewline
27 & -0.009494 & -0.107 & 0.457484 \tabularnewline
28 & 0.017464 & 0.1968 & 0.422147 \tabularnewline
29 & -0.061658 & -0.6948 & 0.24421 \tabularnewline
30 & 0.028805 & 0.3246 & 0.373004 \tabularnewline
31 & -0.021533 & -0.2427 & 0.404326 \tabularnewline
32 & -0.047921 & -0.54 & 0.295056 \tabularnewline
33 & 0.02272 & 0.256 & 0.399165 \tabularnewline
34 & 0.038474 & 0.4336 & 0.332664 \tabularnewline
35 & -0.081452 & -0.9179 & 0.1802 \tabularnewline
36 & -0.004636 & -0.0522 & 0.47921 \tabularnewline
37 & 0.04721 & 0.532 & 0.297818 \tabularnewline
38 & 0.102535 & 1.1555 & 0.125024 \tabularnewline
39 & -0.055023 & -0.6201 & 0.268159 \tabularnewline
40 & -0.138859 & -1.5649 & 0.060052 \tabularnewline
41 & 0.077769 & 0.8764 & 0.191231 \tabularnewline
42 & -0.029 & -0.3268 & 0.372173 \tabularnewline
43 & 0.055816 & 0.629 & 0.265235 \tabularnewline
44 & -0.020679 & -0.233 & 0.408054 \tabularnewline
45 & -0.046538 & -0.5245 & 0.300437 \tabularnewline
46 & 0.038673 & 0.4358 & 0.331855 \tabularnewline
47 & 0.17553 & 1.9781 & 0.02504 \tabularnewline
48 & -0.070217 & -0.7913 & 0.21512 \tabularnewline
49 & -0.113983 & -1.2845 & 0.100649 \tabularnewline
50 & 0.013452 & 0.1516 & 0.439875 \tabularnewline
51 & 0.081668 & 0.9204 & 0.179566 \tabularnewline
52 & 0.083545 & 0.9415 & 0.174116 \tabularnewline
53 & -0.056953 & -0.6418 & 0.26107 \tabularnewline
54 & 0.033565 & 0.3783 & 0.352935 \tabularnewline
55 & -0.07001 & -0.789 & 0.215799 \tabularnewline
56 & 0.052611 & 0.5929 & 0.277151 \tabularnewline
57 & 0.061171 & 0.6894 & 0.245927 \tabularnewline
58 & -0.01934 & -0.2179 & 0.413909 \tabularnewline
59 & -0.076123 & -0.8579 & 0.196292 \tabularnewline
60 & 0.079859 & 0.9 & 0.184922 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152950&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]-0.244184[/C][C]-2.7518[/C][C]0.003397[/C][/ROW]
[ROW][C]2[/C][C]-0.302271[/C][C]-3.4064[/C][C]0.000441[/C][/ROW]
[ROW][C]3[/C][C]0.185479[/C][C]2.0902[/C][C]0.019295[/C][/ROW]
[ROW][C]4[/C][C]-0.010439[/C][C]-0.1176[/C][C]0.453267[/C][/ROW]
[ROW][C]5[/C][C]-0.071788[/C][C]-0.809[/C][C]0.210011[/C][/ROW]
[ROW][C]6[/C][C]0.001928[/C][C]0.0217[/C][C]0.491351[/C][/ROW]
[ROW][C]7[/C][C]0.083826[/C][C]0.9447[/C][C]0.173311[/C][/ROW]
[ROW][C]8[/C][C]-0.018093[/C][C]-0.2039[/C][C]0.419382[/C][/ROW]
[ROW][C]9[/C][C]-0.042777[/C][C]-0.4821[/C][C]0.315294[/C][/ROW]
[ROW][C]10[/C][C]0.124381[/C][C]1.4017[/C][C]0.081722[/C][/ROW]
[ROW][C]11[/C][C]0.054622[/C][C]0.6156[/C][C]0.269642[/C][/ROW]
[ROW][C]12[/C][C]-0.32752[/C][C]-3.691[/C][C]0.000165[/C][/ROW]
[ROW][C]13[/C][C]0.197778[/C][C]2.2288[/C][C]0.013791[/C][/ROW]
[ROW][C]14[/C][C]0.016056[/C][C]0.1809[/C][C]0.42835[/C][/ROW]
[ROW][C]15[/C][C]-0.044274[/C][C]-0.4989[/C][C]0.309343[/C][/ROW]
[ROW][C]16[/C][C]-0.005389[/C][C]-0.0607[/C][C]0.475835[/C][/ROW]
[ROW][C]17[/C][C]-0.014995[/C][C]-0.169[/C][C]0.433038[/C][/ROW]
[ROW][C]18[/C][C]0.055944[/C][C]0.6305[/C][C]0.264766[/C][/ROW]
[ROW][C]19[/C][C]-0.059708[/C][C]-0.6729[/C][C]0.251125[/C][/ROW]
[ROW][C]20[/C][C]0.001735[/C][C]0.0195[/C][C]0.492217[/C][/ROW]
[ROW][C]21[/C][C]0.029057[/C][C]0.3275[/C][C]0.371933[/C][/ROW]
[ROW][C]22[/C][C]-0.01224[/C][C]-0.1379[/C][C]0.445255[/C][/ROW]
[ROW][C]23[/C][C]-0.04034[/C][C]-0.4546[/C][C]0.325084[/C][/ROW]
[ROW][C]24[/C][C]-0.063808[/C][C]-0.7191[/C][C]0.236706[/C][/ROW]
[ROW][C]25[/C][C]0.005806[/C][C]0.0654[/C][C]0.473965[/C][/ROW]
[ROW][C]26[/C][C]0.012474[/C][C]0.1406[/C][C]0.444212[/C][/ROW]
[ROW][C]27[/C][C]-0.009494[/C][C]-0.107[/C][C]0.457484[/C][/ROW]
[ROW][C]28[/C][C]0.017464[/C][C]0.1968[/C][C]0.422147[/C][/ROW]
[ROW][C]29[/C][C]-0.061658[/C][C]-0.6948[/C][C]0.24421[/C][/ROW]
[ROW][C]30[/C][C]0.028805[/C][C]0.3246[/C][C]0.373004[/C][/ROW]
[ROW][C]31[/C][C]-0.021533[/C][C]-0.2427[/C][C]0.404326[/C][/ROW]
[ROW][C]32[/C][C]-0.047921[/C][C]-0.54[/C][C]0.295056[/C][/ROW]
[ROW][C]33[/C][C]0.02272[/C][C]0.256[/C][C]0.399165[/C][/ROW]
[ROW][C]34[/C][C]0.038474[/C][C]0.4336[/C][C]0.332664[/C][/ROW]
[ROW][C]35[/C][C]-0.081452[/C][C]-0.9179[/C][C]0.1802[/C][/ROW]
[ROW][C]36[/C][C]-0.004636[/C][C]-0.0522[/C][C]0.47921[/C][/ROW]
[ROW][C]37[/C][C]0.04721[/C][C]0.532[/C][C]0.297818[/C][/ROW]
[ROW][C]38[/C][C]0.102535[/C][C]1.1555[/C][C]0.125024[/C][/ROW]
[ROW][C]39[/C][C]-0.055023[/C][C]-0.6201[/C][C]0.268159[/C][/ROW]
[ROW][C]40[/C][C]-0.138859[/C][C]-1.5649[/C][C]0.060052[/C][/ROW]
[ROW][C]41[/C][C]0.077769[/C][C]0.8764[/C][C]0.191231[/C][/ROW]
[ROW][C]42[/C][C]-0.029[/C][C]-0.3268[/C][C]0.372173[/C][/ROW]
[ROW][C]43[/C][C]0.055816[/C][C]0.629[/C][C]0.265235[/C][/ROW]
[ROW][C]44[/C][C]-0.020679[/C][C]-0.233[/C][C]0.408054[/C][/ROW]
[ROW][C]45[/C][C]-0.046538[/C][C]-0.5245[/C][C]0.300437[/C][/ROW]
[ROW][C]46[/C][C]0.038673[/C][C]0.4358[/C][C]0.331855[/C][/ROW]
[ROW][C]47[/C][C]0.17553[/C][C]1.9781[/C][C]0.02504[/C][/ROW]
[ROW][C]48[/C][C]-0.070217[/C][C]-0.7913[/C][C]0.21512[/C][/ROW]
[ROW][C]49[/C][C]-0.113983[/C][C]-1.2845[/C][C]0.100649[/C][/ROW]
[ROW][C]50[/C][C]0.013452[/C][C]0.1516[/C][C]0.439875[/C][/ROW]
[ROW][C]51[/C][C]0.081668[/C][C]0.9204[/C][C]0.179566[/C][/ROW]
[ROW][C]52[/C][C]0.083545[/C][C]0.9415[/C][C]0.174116[/C][/ROW]
[ROW][C]53[/C][C]-0.056953[/C][C]-0.6418[/C][C]0.26107[/C][/ROW]
[ROW][C]54[/C][C]0.033565[/C][C]0.3783[/C][C]0.352935[/C][/ROW]
[ROW][C]55[/C][C]-0.07001[/C][C]-0.789[/C][C]0.215799[/C][/ROW]
[ROW][C]56[/C][C]0.052611[/C][C]0.5929[/C][C]0.277151[/C][/ROW]
[ROW][C]57[/C][C]0.061171[/C][C]0.6894[/C][C]0.245927[/C][/ROW]
[ROW][C]58[/C][C]-0.01934[/C][C]-0.2179[/C][C]0.413909[/C][/ROW]
[ROW][C]59[/C][C]-0.076123[/C][C]-0.8579[/C][C]0.196292[/C][/ROW]
[ROW][C]60[/C][C]0.079859[/C][C]0.9[/C][C]0.184922[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152950&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152950&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
1-0.244184-2.75180.003397
2-0.302271-3.40640.000441
30.1854792.09020.019295
4-0.010439-0.11760.453267
5-0.071788-0.8090.210011
60.0019280.02170.491351
70.0838260.94470.173311
8-0.018093-0.20390.419382
9-0.042777-0.48210.315294
100.1243811.40170.081722
110.0546220.61560.269642
12-0.32752-3.6910.000165
130.1977782.22880.013791
140.0160560.18090.42835
15-0.044274-0.49890.309343
16-0.005389-0.06070.475835
17-0.014995-0.1690.433038
180.0559440.63050.264766
19-0.059708-0.67290.251125
200.0017350.01950.492217
210.0290570.32750.371933
22-0.01224-0.13790.445255
23-0.04034-0.45460.325084
24-0.063808-0.71910.236706
250.0058060.06540.473965
260.0124740.14060.444212
27-0.009494-0.1070.457484
280.0174640.19680.422147
29-0.061658-0.69480.24421
300.0288050.32460.373004
31-0.021533-0.24270.404326
32-0.047921-0.540.295056
330.022720.2560.399165
340.0384740.43360.332664
35-0.081452-0.91790.1802
36-0.004636-0.05220.47921
370.047210.5320.297818
380.1025351.15550.125024
39-0.055023-0.62010.268159
40-0.138859-1.56490.060052
410.0777690.87640.191231
42-0.029-0.32680.372173
430.0558160.6290.265235
44-0.020679-0.2330.408054
45-0.046538-0.52450.300437
460.0386730.43580.331855
470.175531.97810.02504
48-0.070217-0.79130.21512
49-0.113983-1.28450.100649
500.0134520.15160.439875
510.0816680.92040.179566
520.0835450.94150.174116
53-0.056953-0.64180.26107
540.0335650.37830.352935
55-0.07001-0.7890.215799
560.0526110.59290.277151
570.0611710.68940.245927
58-0.01934-0.21790.413909
59-0.076123-0.85790.196292
600.0798590.90.184922







Partial Autocorrelation Function
Time lag kPACF(k)T-STATP-value
1-0.244184-2.75180.003397
2-0.384843-4.3371.5e-05
3-0.013367-0.15060.440252
4-0.08455-0.95280.171242
5-0.038378-0.43250.333058
6-0.069908-0.78780.216132
70.0513010.57810.282098
80.013740.15480.438598
90.0081970.09240.463272
100.1260971.4210.078877
110.1551251.74820.041426
12-0.236151-2.66130.004395
130.0943921.06370.144732
14-0.133399-1.50330.067618
150.1030041.16080.123952
16-0.094604-1.06610.144193
17-0.014305-0.16120.436091
18-0.020349-0.22930.409495
19-0.012203-0.13750.445419
20-0.027638-0.31150.377979
210.0038720.04360.482632
220.030680.34570.365054
23-0.00012-0.00140.499462
24-0.232863-2.62420.004875
25-0.000637-0.00720.49714
26-0.178152-2.00770.0234
270.0637410.71830.236939
28-0.112794-1.27110.103004
29-0.065527-0.73850.2308
30-0.009885-0.11140.455737
31-0.092911-1.04710.148531
32-0.051709-0.58270.280553
33-0.038562-0.43460.332306
340.0520890.5870.27912
35-0.08937-1.00710.157889
36-0.155355-1.75080.0412
370.0107260.12090.451989
380.0956691.07810.141509
390.1037871.16960.122172
40-0.160924-1.81350.036057
41-0.0799-0.90040.184798
42-0.078315-0.88260.189571
430.0220.24790.402297
44-0.058822-0.66290.2543
45-0.090395-1.01870.15514
46-0.002139-0.02410.490401
470.1707251.9240.028298
48-0.048206-0.54330.293952
490.0036230.04080.483748
50-0.056219-0.63360.263753
510.1219231.3740.08593
520.0114950.12950.448567
530.0552990.62320.26714
540.009930.11190.455538
55-0.038764-0.43680.331483
56-0.031754-0.35790.360524
570.020390.22980.409317
580.0677660.76370.223235
590.0355580.40070.34465
60-0.048364-0.5450.293341

\begin{tabular}{lllllllll}
\hline
Partial Autocorrelation Function \tabularnewline
Time lag k & PACF(k) & T-STAT & P-value \tabularnewline
1 & -0.244184 & -2.7518 & 0.003397 \tabularnewline
2 & -0.384843 & -4.337 & 1.5e-05 \tabularnewline
3 & -0.013367 & -0.1506 & 0.440252 \tabularnewline
4 & -0.08455 & -0.9528 & 0.171242 \tabularnewline
5 & -0.038378 & -0.4325 & 0.333058 \tabularnewline
6 & -0.069908 & -0.7878 & 0.216132 \tabularnewline
7 & 0.051301 & 0.5781 & 0.282098 \tabularnewline
8 & 0.01374 & 0.1548 & 0.438598 \tabularnewline
9 & 0.008197 & 0.0924 & 0.463272 \tabularnewline
10 & 0.126097 & 1.421 & 0.078877 \tabularnewline
11 & 0.155125 & 1.7482 & 0.041426 \tabularnewline
12 & -0.236151 & -2.6613 & 0.004395 \tabularnewline
13 & 0.094392 & 1.0637 & 0.144732 \tabularnewline
14 & -0.133399 & -1.5033 & 0.067618 \tabularnewline
15 & 0.103004 & 1.1608 & 0.123952 \tabularnewline
16 & -0.094604 & -1.0661 & 0.144193 \tabularnewline
17 & -0.014305 & -0.1612 & 0.436091 \tabularnewline
18 & -0.020349 & -0.2293 & 0.409495 \tabularnewline
19 & -0.012203 & -0.1375 & 0.445419 \tabularnewline
20 & -0.027638 & -0.3115 & 0.377979 \tabularnewline
21 & 0.003872 & 0.0436 & 0.482632 \tabularnewline
22 & 0.03068 & 0.3457 & 0.365054 \tabularnewline
23 & -0.00012 & -0.0014 & 0.499462 \tabularnewline
24 & -0.232863 & -2.6242 & 0.004875 \tabularnewline
25 & -0.000637 & -0.0072 & 0.49714 \tabularnewline
26 & -0.178152 & -2.0077 & 0.0234 \tabularnewline
27 & 0.063741 & 0.7183 & 0.236939 \tabularnewline
28 & -0.112794 & -1.2711 & 0.103004 \tabularnewline
29 & -0.065527 & -0.7385 & 0.2308 \tabularnewline
30 & -0.009885 & -0.1114 & 0.455737 \tabularnewline
31 & -0.092911 & -1.0471 & 0.148531 \tabularnewline
32 & -0.051709 & -0.5827 & 0.280553 \tabularnewline
33 & -0.038562 & -0.4346 & 0.332306 \tabularnewline
34 & 0.052089 & 0.587 & 0.27912 \tabularnewline
35 & -0.08937 & -1.0071 & 0.157889 \tabularnewline
36 & -0.155355 & -1.7508 & 0.0412 \tabularnewline
37 & 0.010726 & 0.1209 & 0.451989 \tabularnewline
38 & 0.095669 & 1.0781 & 0.141509 \tabularnewline
39 & 0.103787 & 1.1696 & 0.122172 \tabularnewline
40 & -0.160924 & -1.8135 & 0.036057 \tabularnewline
41 & -0.0799 & -0.9004 & 0.184798 \tabularnewline
42 & -0.078315 & -0.8826 & 0.189571 \tabularnewline
43 & 0.022 & 0.2479 & 0.402297 \tabularnewline
44 & -0.058822 & -0.6629 & 0.2543 \tabularnewline
45 & -0.090395 & -1.0187 & 0.15514 \tabularnewline
46 & -0.002139 & -0.0241 & 0.490401 \tabularnewline
47 & 0.170725 & 1.924 & 0.028298 \tabularnewline
48 & -0.048206 & -0.5433 & 0.293952 \tabularnewline
49 & 0.003623 & 0.0408 & 0.483748 \tabularnewline
50 & -0.056219 & -0.6336 & 0.263753 \tabularnewline
51 & 0.121923 & 1.374 & 0.08593 \tabularnewline
52 & 0.011495 & 0.1295 & 0.448567 \tabularnewline
53 & 0.055299 & 0.6232 & 0.26714 \tabularnewline
54 & 0.00993 & 0.1119 & 0.455538 \tabularnewline
55 & -0.038764 & -0.4368 & 0.331483 \tabularnewline
56 & -0.031754 & -0.3579 & 0.360524 \tabularnewline
57 & 0.02039 & 0.2298 & 0.409317 \tabularnewline
58 & 0.067766 & 0.7637 & 0.223235 \tabularnewline
59 & 0.035558 & 0.4007 & 0.34465 \tabularnewline
60 & -0.048364 & -0.545 & 0.293341 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=152950&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]-0.244184[/C][C]-2.7518[/C][C]0.003397[/C][/ROW]
[ROW][C]2[/C][C]-0.384843[/C][C]-4.337[/C][C]1.5e-05[/C][/ROW]
[ROW][C]3[/C][C]-0.013367[/C][C]-0.1506[/C][C]0.440252[/C][/ROW]
[ROW][C]4[/C][C]-0.08455[/C][C]-0.9528[/C][C]0.171242[/C][/ROW]
[ROW][C]5[/C][C]-0.038378[/C][C]-0.4325[/C][C]0.333058[/C][/ROW]
[ROW][C]6[/C][C]-0.069908[/C][C]-0.7878[/C][C]0.216132[/C][/ROW]
[ROW][C]7[/C][C]0.051301[/C][C]0.5781[/C][C]0.282098[/C][/ROW]
[ROW][C]8[/C][C]0.01374[/C][C]0.1548[/C][C]0.438598[/C][/ROW]
[ROW][C]9[/C][C]0.008197[/C][C]0.0924[/C][C]0.463272[/C][/ROW]
[ROW][C]10[/C][C]0.126097[/C][C]1.421[/C][C]0.078877[/C][/ROW]
[ROW][C]11[/C][C]0.155125[/C][C]1.7482[/C][C]0.041426[/C][/ROW]
[ROW][C]12[/C][C]-0.236151[/C][C]-2.6613[/C][C]0.004395[/C][/ROW]
[ROW][C]13[/C][C]0.094392[/C][C]1.0637[/C][C]0.144732[/C][/ROW]
[ROW][C]14[/C][C]-0.133399[/C][C]-1.5033[/C][C]0.067618[/C][/ROW]
[ROW][C]15[/C][C]0.103004[/C][C]1.1608[/C][C]0.123952[/C][/ROW]
[ROW][C]16[/C][C]-0.094604[/C][C]-1.0661[/C][C]0.144193[/C][/ROW]
[ROW][C]17[/C][C]-0.014305[/C][C]-0.1612[/C][C]0.436091[/C][/ROW]
[ROW][C]18[/C][C]-0.020349[/C][C]-0.2293[/C][C]0.409495[/C][/ROW]
[ROW][C]19[/C][C]-0.012203[/C][C]-0.1375[/C][C]0.445419[/C][/ROW]
[ROW][C]20[/C][C]-0.027638[/C][C]-0.3115[/C][C]0.377979[/C][/ROW]
[ROW][C]21[/C][C]0.003872[/C][C]0.0436[/C][C]0.482632[/C][/ROW]
[ROW][C]22[/C][C]0.03068[/C][C]0.3457[/C][C]0.365054[/C][/ROW]
[ROW][C]23[/C][C]-0.00012[/C][C]-0.0014[/C][C]0.499462[/C][/ROW]
[ROW][C]24[/C][C]-0.232863[/C][C]-2.6242[/C][C]0.004875[/C][/ROW]
[ROW][C]25[/C][C]-0.000637[/C][C]-0.0072[/C][C]0.49714[/C][/ROW]
[ROW][C]26[/C][C]-0.178152[/C][C]-2.0077[/C][C]0.0234[/C][/ROW]
[ROW][C]27[/C][C]0.063741[/C][C]0.7183[/C][C]0.236939[/C][/ROW]
[ROW][C]28[/C][C]-0.112794[/C][C]-1.2711[/C][C]0.103004[/C][/ROW]
[ROW][C]29[/C][C]-0.065527[/C][C]-0.7385[/C][C]0.2308[/C][/ROW]
[ROW][C]30[/C][C]-0.009885[/C][C]-0.1114[/C][C]0.455737[/C][/ROW]
[ROW][C]31[/C][C]-0.092911[/C][C]-1.0471[/C][C]0.148531[/C][/ROW]
[ROW][C]32[/C][C]-0.051709[/C][C]-0.5827[/C][C]0.280553[/C][/ROW]
[ROW][C]33[/C][C]-0.038562[/C][C]-0.4346[/C][C]0.332306[/C][/ROW]
[ROW][C]34[/C][C]0.052089[/C][C]0.587[/C][C]0.27912[/C][/ROW]
[ROW][C]35[/C][C]-0.08937[/C][C]-1.0071[/C][C]0.157889[/C][/ROW]
[ROW][C]36[/C][C]-0.155355[/C][C]-1.7508[/C][C]0.0412[/C][/ROW]
[ROW][C]37[/C][C]0.010726[/C][C]0.1209[/C][C]0.451989[/C][/ROW]
[ROW][C]38[/C][C]0.095669[/C][C]1.0781[/C][C]0.141509[/C][/ROW]
[ROW][C]39[/C][C]0.103787[/C][C]1.1696[/C][C]0.122172[/C][/ROW]
[ROW][C]40[/C][C]-0.160924[/C][C]-1.8135[/C][C]0.036057[/C][/ROW]
[ROW][C]41[/C][C]-0.0799[/C][C]-0.9004[/C][C]0.184798[/C][/ROW]
[ROW][C]42[/C][C]-0.078315[/C][C]-0.8826[/C][C]0.189571[/C][/ROW]
[ROW][C]43[/C][C]0.022[/C][C]0.2479[/C][C]0.402297[/C][/ROW]
[ROW][C]44[/C][C]-0.058822[/C][C]-0.6629[/C][C]0.2543[/C][/ROW]
[ROW][C]45[/C][C]-0.090395[/C][C]-1.0187[/C][C]0.15514[/C][/ROW]
[ROW][C]46[/C][C]-0.002139[/C][C]-0.0241[/C][C]0.490401[/C][/ROW]
[ROW][C]47[/C][C]0.170725[/C][C]1.924[/C][C]0.028298[/C][/ROW]
[ROW][C]48[/C][C]-0.048206[/C][C]-0.5433[/C][C]0.293952[/C][/ROW]
[ROW][C]49[/C][C]0.003623[/C][C]0.0408[/C][C]0.483748[/C][/ROW]
[ROW][C]50[/C][C]-0.056219[/C][C]-0.6336[/C][C]0.263753[/C][/ROW]
[ROW][C]51[/C][C]0.121923[/C][C]1.374[/C][C]0.08593[/C][/ROW]
[ROW][C]52[/C][C]0.011495[/C][C]0.1295[/C][C]0.448567[/C][/ROW]
[ROW][C]53[/C][C]0.055299[/C][C]0.6232[/C][C]0.26714[/C][/ROW]
[ROW][C]54[/C][C]0.00993[/C][C]0.1119[/C][C]0.455538[/C][/ROW]
[ROW][C]55[/C][C]-0.038764[/C][C]-0.4368[/C][C]0.331483[/C][/ROW]
[ROW][C]56[/C][C]-0.031754[/C][C]-0.3579[/C][C]0.360524[/C][/ROW]
[ROW][C]57[/C][C]0.02039[/C][C]0.2298[/C][C]0.409317[/C][/ROW]
[ROW][C]58[/C][C]0.067766[/C][C]0.7637[/C][C]0.223235[/C][/ROW]
[ROW][C]59[/C][C]0.035558[/C][C]0.4007[/C][C]0.34465[/C][/ROW]
[ROW][C]60[/C][C]-0.048364[/C][C]-0.545[/C][C]0.293341[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=152950&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=152950&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
1-0.244184-2.75180.003397
2-0.384843-4.3371.5e-05
3-0.013367-0.15060.440252
4-0.08455-0.95280.171242
5-0.038378-0.43250.333058
6-0.069908-0.78780.216132
70.0513010.57810.282098
80.013740.15480.438598
90.0081970.09240.463272
100.1260971.4210.078877
110.1551251.74820.041426
12-0.236151-2.66130.004395
130.0943921.06370.144732
14-0.133399-1.50330.067618
150.1030041.16080.123952
16-0.094604-1.06610.144193
17-0.014305-0.16120.436091
18-0.020349-0.22930.409495
19-0.012203-0.13750.445419
20-0.027638-0.31150.377979
210.0038720.04360.482632
220.030680.34570.365054
23-0.00012-0.00140.499462
24-0.232863-2.62420.004875
25-0.000637-0.00720.49714
26-0.178152-2.00770.0234
270.0637410.71830.236939
28-0.112794-1.27110.103004
29-0.065527-0.73850.2308
30-0.009885-0.11140.455737
31-0.092911-1.04710.148531
32-0.051709-0.58270.280553
33-0.038562-0.43460.332306
340.0520890.5870.27912
35-0.08937-1.00710.157889
36-0.155355-1.75080.0412
370.0107260.12090.451989
380.0956691.07810.141509
390.1037871.16960.122172
40-0.160924-1.81350.036057
41-0.0799-0.90040.184798
42-0.078315-0.88260.189571
430.0220.24790.402297
44-0.058822-0.66290.2543
45-0.090395-1.01870.15514
46-0.002139-0.02410.490401
470.1707251.9240.028298
48-0.048206-0.54330.293952
490.0036230.04080.483748
50-0.056219-0.63360.263753
510.1219231.3740.08593
520.0114950.12950.448567
530.0552990.62320.26714
540.009930.11190.455538
55-0.038764-0.43680.331483
56-0.031754-0.35790.360524
570.020390.22980.409317
580.0677660.76370.223235
590.0355580.40070.34465
60-0.048364-0.5450.293341



Parameters (Session):
par1 = 60 ; par2 = 1 ; par3 = 1 ; par4 = 1 ; par5 = 12 ; par6 = White Noise ; par7 = 0.95 ;
Parameters (R input):
par1 = 60 ; par2 = 1 ; 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')