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Author

*The author of this computation has been verified*

R Software Module

rwasp_arimabackwardselection.wasp

Title produced by software

ARIMA Backward Selection

Date of computation

Tue, 07 Dec 2010 19:40:38 +0000

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/07/t129175075201brz5srnjg3nhm.htm/, Retrieved Sat, 04 May 2024 02:57:59 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=106681, Retrieved Sat, 04 May 2024 02:57:59 +0000

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IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

105

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-     [Univariate Data Series] [data set] [2008-12-01 19:54:57] [b98453cac15ba1066b407e146608df68]
- RMP   [Standard Deviation-Mean Plot] [Unemployment] [2010-11-29 10:34:47] [b98453cac15ba1066b407e146608df68]
- RMP     [ARIMA Backward Selection] [Unemployment] [2010-11-29 17:10:28] [b98453cac15ba1066b407e146608df68]
- R PD      [ARIMA Backward Selection] [Workshop 9; Coffe...] [2010-12-07 11:14:19] [8ffb4cfa64b4677df0d2c448735a40bb]
-   P           [ARIMA Backward Selection] [Workshop 9; Coffe...] [2010-12-07 19:40:38] [50e0b5177c9c80b42996aa89930b928a] [Current]
- RMP             [ARIMA Forecasting] [] [2010-12-13 19:08:32] [9b13650c94c5192ca5135ec8a1fa39f7] 

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Dataseries X:

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Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	53 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

\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 & 53 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106681&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]53 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106681&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106681&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 Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	53 seconds
R Server	'Gwilym Jenkins' @ 72.249.127.135

ARIMA Parameter Estimation and Backward Selection
Iteration	ar1	ar2	ar3	ma1	sar1	sar2	sma1
Estimates ( 1 )	-0.6335	0.2212	0.0763	0.8507	0.2743	0.0164	-0.2572
(p-val)	(1e-04 )	(0.0018 )	(0.1503 )	(0 )	(0.7813 )	(0.771 )	(0.7945 )
Estimates ( 2 )	-0.6267	0.2193	0.0773	0.8433	0.0168	0.0154	0
(p-val)	(1e-04 )	(0.002 )	(0.1429 )	(0 )	(0.7539 )	(0.7696 )	(NA )
Estimates ( 3 )	-0.6267	0.2185	0.0773	0.8421	0.0172	0	0
(p-val)	(2e-04 )	(0.0022 )	(0.1436 )	(0 )	(0.7482 )	(NA )	(NA )
Estimates ( 4 )	-0.616	0.2164	0.0766	0.832	0	0	0
(p-val)	(5e-04 )	(0.0028 )	(0.1469 )	(0 )	(NA )	(NA )	(NA )
Estimates ( 5 )	0.2699	0.0352	0	-0.056	0	0	0
(p-val)	(0.5211 )	(0.7459 )	(NA )	(0.8933 )	(NA )	(NA )	(NA )
Estimates ( 6 )	0.214	0.0473	0	0	0	0	0
(p-val)	(0 )	(0.3639 )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 7 )	0.2247	0	0	0	0	0	0
(p-val)	(0 )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 8 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 9 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 10 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 11 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 12 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 13 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )

\begin{tabular}{lllllllll}
\hline
ARIMA Parameter Estimation and Backward Selection \tabularnewline
Iteration & ar1 & ar2 & ar3 & ma1 & sar1 & sar2 & sma1 \tabularnewline
Estimates ( 1 ) & -0.6335 & 0.2212 & 0.0763 & 0.8507 & 0.2743 & 0.0164 & -0.2572 \tabularnewline
(p-val) & (1e-04 ) & (0.0018 ) & (0.1503 ) & (0 ) & (0.7813 ) & (0.771 ) & (0.7945 ) \tabularnewline
Estimates ( 2 ) & -0.6267 & 0.2193 & 0.0773 & 0.8433 & 0.0168 & 0.0154 & 0 \tabularnewline
(p-val) & (1e-04 ) & (0.002 ) & (0.1429 ) & (0 ) & (0.7539 ) & (0.7696 ) & (NA ) \tabularnewline
Estimates ( 3 ) & -0.6267 & 0.2185 & 0.0773 & 0.8421 & 0.0172 & 0 & 0 \tabularnewline
(p-val) & (2e-04 ) & (0.0022 ) & (0.1436 ) & (0 ) & (0.7482 ) & (NA ) & (NA ) \tabularnewline
Estimates ( 4 ) & -0.616 & 0.2164 & 0.0766 & 0.832 & 0 & 0 & 0 \tabularnewline
(p-val) & (5e-04 ) & (0.0028 ) & (0.1469 ) & (0 ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 5 ) & 0.2699 & 0.0352 & 0 & -0.056 & 0 & 0 & 0 \tabularnewline
(p-val) & (0.5211 ) & (0.7459 ) & (NA ) & (0.8933 ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 6 ) & 0.214 & 0.0473 & 0 & 0 & 0 & 0 & 0 \tabularnewline
(p-val) & (0 ) & (0.3639 ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 7 ) & 0.2247 & 0 & 0 & 0 & 0 & 0 & 0 \tabularnewline
(p-val) & (0 ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 8 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 9 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 10 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 11 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 12 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
Estimates ( 13 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106681&T=1

[TABLE]
[ROW][C]ARIMA Parameter Estimation and Backward Selection[/C][/ROW]
[ROW][C]Iteration[/C][C]ar1[/C][C]ar2[/C][C]ar3[/C][C]ma1[/C][C]sar1[/C][C]sar2[/C][C]sma1[/C][/ROW]
[ROW][C]Estimates ( 1 )[/C][C]-0.6335[/C][C]0.2212[/C][C]0.0763[/C][C]0.8507[/C][C]0.2743[/C][C]0.0164[/C][C]-0.2572[/C][/ROW]
[ROW][C](p-val)[/C][C](1e-04 )[/C][C](0.0018 )[/C][C](0.1503 )[/C][C](0 )[/C][C](0.7813 )[/C][C](0.771 )[/C][C](0.7945 )[/C][/ROW]
[ROW][C]Estimates ( 2 )[/C][C]-0.6267[/C][C]0.2193[/C][C]0.0773[/C][C]0.8433[/C][C]0.0168[/C][C]0.0154[/C][C]0[/C][/ROW]
[ROW][C](p-val)[/C][C](1e-04 )[/C][C](0.002 )[/C][C](0.1429 )[/C][C](0 )[/C][C](0.7539 )[/C][C](0.7696 )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 3 )[/C][C]-0.6267[/C][C]0.2185[/C][C]0.0773[/C][C]0.8421[/C][C]0.0172[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C](p-val)[/C][C](2e-04 )[/C][C](0.0022 )[/C][C](0.1436 )[/C][C](0 )[/C][C](0.7482 )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 4 )[/C][C]-0.616[/C][C]0.2164[/C][C]0.0766[/C][C]0.832[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C](p-val)[/C][C](5e-04 )[/C][C](0.0028 )[/C][C](0.1469 )[/C][C](0 )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 5 )[/C][C]0.2699[/C][C]0.0352[/C][C]0[/C][C]-0.056[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C](p-val)[/C][C](0.5211 )[/C][C](0.7459 )[/C][C](NA )[/C][C](0.8933 )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 6 )[/C][C]0.214[/C][C]0.0473[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C](p-val)[/C][C](0 )[/C][C](0.3639 )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 7 )[/C][C]0.2247[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][C]0[/C][/ROW]
[ROW][C](p-val)[/C][C](0 )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 8 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 9 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 10 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 11 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 12 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[ROW][C]Estimates ( 13 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106681&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106681&T=1

As an alternative you can also use a QR Code:

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

ARIMA Parameter Estimation and Backward Selection
Iteration	ar1	ar2	ar3	ma1	sar1	sar2	sma1
Estimates ( 1 )	-0.6335	0.2212	0.0763	0.8507	0.2743	0.0164	-0.2572
(p-val)	(1e-04 )	(0.0018 )	(0.1503 )	(0 )	(0.7813 )	(0.771 )	(0.7945 )
Estimates ( 2 )	-0.6267	0.2193	0.0773	0.8433	0.0168	0.0154	0
(p-val)	(1e-04 )	(0.002 )	(0.1429 )	(0 )	(0.7539 )	(0.7696 )	(NA )
Estimates ( 3 )	-0.6267	0.2185	0.0773	0.8421	0.0172	0	0
(p-val)	(2e-04 )	(0.0022 )	(0.1436 )	(0 )	(0.7482 )	(NA )	(NA )
Estimates ( 4 )	-0.616	0.2164	0.0766	0.832	0	0	0
(p-val)	(5e-04 )	(0.0028 )	(0.1469 )	(0 )	(NA )	(NA )	(NA )
Estimates ( 5 )	0.2699	0.0352	0	-0.056	0	0	0
(p-val)	(0.5211 )	(0.7459 )	(NA )	(0.8933 )	(NA )	(NA )	(NA )
Estimates ( 6 )	0.214	0.0473	0	0	0	0	0
(p-val)	(0 )	(0.3639 )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 7 )	0.2247	0	0	0	0	0	0
(p-val)	(0 )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 8 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 9 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 10 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 11 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 12 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )
Estimates ( 13 )	NA	NA	NA	NA	NA	NA	NA
(p-val)	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )	(NA )

Estimated ARIMA Residuals
Value
0.000128583319362804
0.00115822116758264
-0.00595033185372356
0.00213543386749890
-0.0025338576136847
0.00293818678333686
0.00748629476772346
0.00557392734073345
0.00244697420875342
-0.00138664738637725
0.00530420982620516
-0.00751949571258606
0.00109863445246991
0.00160917308174369
-0.000658198064832194
-0.00101014720395362
0.00126724356249014
0.00679935921343147
-0.00570060640963596
-0.00139691393994890
-0.000279004923863069
-0.00422282800782006
-0.00191249057990806
0.00165474329177245
-0.00089526461892775
-0.00386750193540233
0.00455924691274998
0.000723270039616919
0.00130086495202625
-0.00204524024268776
0.00434599492316964
-0.00153758762213074
-0.00166328819684483
-0.00139675264407058
0.00177849998557242
0.00148257116769526
0.00185932050099069
0.00063639916153263
0.000375949453433194
-7.04543990917572e-05
-0.00198731088942175
0.00119575233345520
-0.000739860458460112
-0.000542432909908214
-0.00124322457383078
-0.00322968730630538
-0.000804995200745007
0.00014899001828661
0.00143968220303264
-0.00123476547661344
-0.000772365900580774
-0.0005488444198814
0.000378139271218242
0.00119992645867323
0.000975566413112056
-0.00105020079107385
0.00204232338296431
0.00127930229014145
-0.002112530348264
0.000123988296666017
-0.00178466980794514
0.00111254618858864
0.000889967726039359
2.76146849653713e-06
-0.000596251942252629
0.0003997064701384
0.00273346519024853
-2.50879280473126e-05
-0.000315645473974530
-0.00304628594625517
-0.00463422742669448
-0.0108845183481631
-0.00549373338296651
0.00408650937522498
-0.00214011972847773
0.00304599436447754
0.00283257602739849
0.00792862748298494
-0.000876217702530407
-0.00113869229060681
-0.00695749839014957
0.00745262609037035
0.00575460102900688
0.00600516370599743
0.00367328480471585
-0.000524769322049173
0.00918375876471753
-0.00467101556599706
-0.00541639984324283
0.00833051428236248
0.00197669654283031
-0.00251125350685347
-0.00519532073969578
-0.00313733399196695
-0.00195722545407592
0.000669923346835438
-0.000339870014631288
-0.00451667556561564
0.00200820497549867
0.000191987214595207
-0.000953628349630697
-0.00199606628359958
0.00152575547543288
0.00424098008750476
-0.00353793121480656
0.00221987173337154
-0.00100009141515892
-0.00510763892585894
-0.000537738516961622
0.00516838800013522
-0.00162474537357526
-0.00149947684158147
0.00207330157249710
0.00642283402533003
0.0211000168492628
0.00201700942086033
-0.00300391243709497
0.00973866267669699
-0.00525981289846181
-0.00165189717912068
-0.00261445210806621
-0.00634415679116765
-0.00576999567248881
0.00208794393787698
0.00152038111702599
0.00249238444056718
0.000716412753016815
-0.00622155770423555
0.000834197266519676
0.00280525956687178
0.00446568632343622
-0.00505071444772573
0.00329545840086296
-0.00286199753667024
-0.00257366342515072
0.00177071123623976
0.00336651416474668
0.000837163678040792
0.0016614005814706
0.00045095125316999
-0.00499428762262466
0.00713893031553256
7.57769329213231e-05
0.00259303150655704
0.00131032078562507
0.00471087051947064
-0.00363812597010368
0.00541452332532991
0.00529815757823618
0.000887382909804224
0.000123305761250053
0.00738024902316431
-0.0021763035453754
-0.0123550115400312
-0.00414277370872837
-0.00832556593637937
0.0112080415135186
-6.29830864148639e-05
0.00473534091623914
0.00645333735553025
-0.00798261589473315
0.000303255645785677
-0.0102855304756316
-0.00250765612187490
-0.00137693366014824
0.00518092256492861
-0.00266667493250528
-0.00240855806506968
0.00312454966815118
-0.00472185405495626
-0.00196027869084034
-0.00200622856363691
-0.0187690641479281
-0.00454456473312351
-0.0186014948259306
0.0094683511545138
-0.00492275883505602
0.00568698754431439
0.00359961265137693
0.00295233692181573
-0.00255739643502068
0.00120604278728020
-0.00295270466882788
0.00210599316629989
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2.49106599918003e-05
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\begin{tabular}{lllllllll}
\hline
Estimated ARIMA Residuals \tabularnewline
Value \tabularnewline
0.000128583319362804 \tabularnewline
0.00115822116758264 \tabularnewline
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0.00213543386749890 \tabularnewline
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0.00530420982620516 \tabularnewline
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0.00109863445246991 \tabularnewline
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0.00126724356249014 \tabularnewline
0.00679935921343147 \tabularnewline
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0.00165474329177245 \tabularnewline
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0.00455924691274998 \tabularnewline
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0.00045095125316999 \tabularnewline
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0.00713893031553256 \tabularnewline
7.57769329213231e-05 \tabularnewline
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0.00471087051947064 \tabularnewline
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0.0112080415135186 \tabularnewline
-6.29830864148639e-05 \tabularnewline
0.00473534091623914 \tabularnewline
0.00645333735553025 \tabularnewline
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0.000303255645785677 \tabularnewline
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0.00312454966815118 \tabularnewline
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-0.00196027869084034 \tabularnewline
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0.0094683511545138 \tabularnewline
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0.00568698754431439 \tabularnewline
0.00359961265137693 \tabularnewline
0.00295233692181573 \tabularnewline
-0.00255739643502068 \tabularnewline
0.00120604278728020 \tabularnewline
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0.00210599316629989 \tabularnewline
0.000990498911931231 \tabularnewline
0.00509695024258960 \tabularnewline
0.00186594515032243 \tabularnewline
-0.00370330770435148 \tabularnewline
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2.49106599918003e-05 \tabularnewline
0.00989106724050526 \tabularnewline
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-0.00233191294183979 \tabularnewline
-0.000188112192542056 \tabularnewline
-0.00496720300027897 \tabularnewline
-0.00166156674282891 \tabularnewline
-0.000846503442948926 \tabularnewline
-0.00148915784684867 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=106681&T=2

[TABLE]
[ROW][C]Estimated ARIMA Residuals[/C][/ROW]
[ROW][C]Value[/C][/ROW]
[ROW][C]0.000128583319362804[/C][/ROW]
[ROW][C]0.00115822116758264[/C][/ROW]
[ROW][C]-0.00595033185372356[/C][/ROW]
[ROW][C]0.00213543386749890[/C][/ROW]
[ROW][C]-0.0025338576136847[/C][/ROW]
[ROW][C]0.00293818678333686[/C][/ROW]
[ROW][C]0.00748629476772346[/C][/ROW]
[ROW][C]0.00557392734073345[/C][/ROW]
[ROW][C]0.00244697420875342[/C][/ROW]
[ROW][C]-0.00138664738637725[/C][/ROW]
[ROW][C]0.00530420982620516[/C][/ROW]
[ROW][C]-0.00751949571258606[/C][/ROW]
[ROW][C]0.00109863445246991[/C][/ROW]
[ROW][C]0.00160917308174369[/C][/ROW]
[ROW][C]-0.000658198064832194[/C][/ROW]
[ROW][C]-0.00101014720395362[/C][/ROW]
[ROW][C]0.00126724356249014[/C][/ROW]
[ROW][C]0.00679935921343147[/C][/ROW]
[ROW][C]-0.00570060640963596[/C][/ROW]
[ROW][C]-0.00139691393994890[/C][/ROW]
[ROW][C]-0.000279004923863069[/C][/ROW]
[ROW][C]-0.00422282800782006[/C][/ROW]
[ROW][C]-0.00191249057990806[/C][/ROW]
[ROW][C]0.00165474329177245[/C][/ROW]
[ROW][C]-0.00089526461892775[/C][/ROW]
[ROW][C]-0.00386750193540233[/C][/ROW]
[ROW][C]0.00455924691274998[/C][/ROW]
[ROW][C]0.000723270039616919[/C][/ROW]
[ROW][C]0.00130086495202625[/C][/ROW]
[ROW][C]-0.00204524024268776[/C][/ROW]
[ROW][C]0.00434599492316964[/C][/ROW]
[ROW][C]-0.00153758762213074[/C][/ROW]
[ROW][C]-0.00166328819684483[/C][/ROW]
[ROW][C]-0.00139675264407058[/C][/ROW]
[ROW][C]0.00177849998557242[/C][/ROW]
[ROW][C]0.00148257116769526[/C][/ROW]
[ROW][C]0.00185932050099069[/C][/ROW]
[ROW][C]0.00063639916153263[/C][/ROW]
[ROW][C]0.000375949453433194[/C][/ROW]
[ROW][C]-7.04543990917572e-05[/C][/ROW]
[ROW][C]-0.00198731088942175[/C][/ROW]
[ROW][C]0.00119575233345520[/C][/ROW]
[ROW][C]-0.000739860458460112[/C][/ROW]
[ROW][C]-0.000542432909908214[/C][/ROW]
[ROW][C]-0.00124322457383078[/C][/ROW]
[ROW][C]-0.00322968730630538[/C][/ROW]
[ROW][C]-0.000804995200745007[/C][/ROW]
[ROW][C]0.00014899001828661[/C][/ROW]
[ROW][C]0.00143968220303264[/C][/ROW]
[ROW][C]-0.00123476547661344[/C][/ROW]
[ROW][C]-0.000772365900580774[/C][/ROW]
[ROW][C]-0.0005488444198814[/C][/ROW]
[ROW][C]0.000378139271218242[/C][/ROW]
[ROW][C]0.00119992645867323[/C][/ROW]
[ROW][C]0.000975566413112056[/C][/ROW]
[ROW][C]-0.00105020079107385[/C][/ROW]
[ROW][C]0.00204232338296431[/C][/ROW]
[ROW][C]0.00127930229014145[/C][/ROW]
[ROW][C]-0.002112530348264[/C][/ROW]
[ROW][C]0.000123988296666017[/C][/ROW]
[ROW][C]-0.00178466980794514[/C][/ROW]
[ROW][C]0.00111254618858864[/C][/ROW]
[ROW][C]0.000889967726039359[/C][/ROW]
[ROW][C]2.76146849653713e-06[/C][/ROW]
[ROW][C]-0.000596251942252629[/C][/ROW]
[ROW][C]0.0003997064701384[/C][/ROW]
[ROW][C]0.00273346519024853[/C][/ROW]
[ROW][C]-2.50879280473126e-05[/C][/ROW]
[ROW][C]-0.000315645473974530[/C][/ROW]
[ROW][C]-0.00304628594625517[/C][/ROW]
[ROW][C]-0.00463422742669448[/C][/ROW]
[ROW][C]-0.0108845183481631[/C][/ROW]
[ROW][C]-0.00549373338296651[/C][/ROW]
[ROW][C]0.00408650937522498[/C][/ROW]
[ROW][C]-0.00214011972847773[/C][/ROW]
[ROW][C]0.00304599436447754[/C][/ROW]
[ROW][C]0.00283257602739849[/C][/ROW]
[ROW][C]0.00792862748298494[/C][/ROW]
[ROW][C]-0.000876217702530407[/C][/ROW]
[ROW][C]-0.00113869229060681[/C][/ROW]
[ROW][C]-0.00695749839014957[/C][/ROW]
[ROW][C]0.00745262609037035[/C][/ROW]
[ROW][C]0.00575460102900688[/C][/ROW]
[ROW][C]0.00600516370599743[/C][/ROW]
[ROW][C]0.00367328480471585[/C][/ROW]
[ROW][C]-0.000524769322049173[/C][/ROW]
[ROW][C]0.00918375876471753[/C][/ROW]
[ROW][C]-0.00467101556599706[/C][/ROW]
[ROW][C]-0.00541639984324283[/C][/ROW]
[ROW][C]0.00833051428236248[/C][/ROW]
[ROW][C]0.00197669654283031[/C][/ROW]
[ROW][C]-0.00251125350685347[/C][/ROW]
[ROW][C]-0.00519532073969578[/C][/ROW]
[ROW][C]-0.00313733399196695[/C][/ROW]
[ROW][C]-0.00195722545407592[/C][/ROW]
[ROW][C]0.000669923346835438[/C][/ROW]
[ROW][C]-0.000339870014631288[/C][/ROW]
[ROW][C]-0.00451667556561564[/C][/ROW]
[ROW][C]0.00200820497549867[/C][/ROW]
[ROW][C]0.000191987214595207[/C][/ROW]
[ROW][C]-0.000953628349630697[/C][/ROW]
[ROW][C]-0.00199606628359958[/C][/ROW]
[ROW][C]0.00152575547543288[/C][/ROW]
[ROW][C]0.00424098008750476[/C][/ROW]
[ROW][C]-0.00353793121480656[/C][/ROW]
[ROW][C]0.00221987173337154[/C][/ROW]
[ROW][C]-0.00100009141515892[/C][/ROW]
[ROW][C]-0.00510763892585894[/C][/ROW]
[ROW][C]-0.000537738516961622[/C][/ROW]
[ROW][C]0.00516838800013522[/C][/ROW]
[ROW][C]-0.00162474537357526[/C][/ROW]
[ROW][C]-0.00149947684158147[/C][/ROW]
[ROW][C]0.00207330157249710[/C][/ROW]
[ROW][C]0.00642283402533003[/C][/ROW]
[ROW][C]0.0211000168492628[/C][/ROW]
[ROW][C]0.00201700942086033[/C][/ROW]
[ROW][C]-0.00300391243709497[/C][/ROW]
[ROW][C]0.00973866267669699[/C][/ROW]
[ROW][C]-0.00525981289846181[/C][/ROW]
[ROW][C]-0.00165189717912068[/C][/ROW]
[ROW][C]-0.00261445210806621[/C][/ROW]
[ROW][C]-0.00634415679116765[/C][/ROW]
[ROW][C]-0.00576999567248881[/C][/ROW]
[ROW][C]0.00208794393787698[/C][/ROW]
[ROW][C]0.00152038111702599[/C][/ROW]
[ROW][C]0.00249238444056718[/C][/ROW]
[ROW][C]0.000716412753016815[/C][/ROW]
[ROW][C]-0.00622155770423555[/C][/ROW]
[ROW][C]0.000834197266519676[/C][/ROW]
[ROW][C]0.00280525956687178[/C][/ROW]
[ROW][C]0.00446568632343622[/C][/ROW]
[ROW][C]-0.00505071444772573[/C][/ROW]
[ROW][C]0.00329545840086296[/C][/ROW]
[ROW][C]-0.00286199753667024[/C][/ROW]
[ROW][C]-0.00257366342515072[/C][/ROW]
[ROW][C]0.00177071123623976[/C][/ROW]
[ROW][C]0.00336651416474668[/C][/ROW]
[ROW][C]0.000837163678040792[/C][/ROW]
[ROW][C]0.0016614005814706[/C][/ROW]
[ROW][C]0.00045095125316999[/C][/ROW]
[ROW][C]-0.00499428762262466[/C][/ROW]
[ROW][C]0.00713893031553256[/C][/ROW]
[ROW][C]7.57769329213231e-05[/C][/ROW]
[ROW][C]0.00259303150655704[/C][/ROW]
[ROW][C]0.00131032078562507[/C][/ROW]
[ROW][C]0.00471087051947064[/C][/ROW]
[ROW][C]-0.00363812597010368[/C][/ROW]
[ROW][C]0.00541452332532991[/C][/ROW]
[ROW][C]0.00529815757823618[/C][/ROW]
[ROW][C]0.000887382909804224[/C][/ROW]
[ROW][C]0.000123305761250053[/C][/ROW]
[ROW][C]0.00738024902316431[/C][/ROW]
[ROW][C]-0.0021763035453754[/C][/ROW]
[ROW][C]-0.0123550115400312[/C][/ROW]
[ROW][C]-0.00414277370872837[/C][/ROW]
[ROW][C]-0.00832556593637937[/C][/ROW]
[ROW][C]0.0112080415135186[/C][/ROW]
[ROW][C]-6.29830864148639e-05[/C][/ROW]
[ROW][C]0.00473534091623914[/C][/ROW]
[ROW][C]0.00645333735553025[/C][/ROW]
[ROW][C]-0.00798261589473315[/C][/ROW]
[ROW][C]0.000303255645785677[/C][/ROW]
[ROW][C]-0.0102855304756316[/C][/ROW]
[ROW][C]-0.00250765612187490[/C][/ROW]
[ROW][C]-0.00137693366014824[/C][/ROW]
[ROW][C]0.00518092256492861[/C][/ROW]
[ROW][C]-0.00266667493250528[/C][/ROW]
[ROW][C]-0.00240855806506968[/C][/ROW]
[ROW][C]0.00312454966815118[/C][/ROW]
[ROW][C]-0.00472185405495626[/C][/ROW]
[ROW][C]-0.00196027869084034[/C][/ROW]
[ROW][C]-0.00200622856363691[/C][/ROW]
[ROW][C]-0.0187690641479281[/C][/ROW]
[ROW][C]-0.00454456473312351[/C][/ROW]
[ROW][C]-0.0186014948259306[/C][/ROW]
[ROW][C]0.0094683511545138[/C][/ROW]
[ROW][C]-0.00492275883505602[/C][/ROW]
[ROW][C]0.00568698754431439[/C][/ROW]
[ROW][C]0.00359961265137693[/C][/ROW]
[ROW][C]0.00295233692181573[/C][/ROW]
[ROW][C]-0.00255739643502068[/C][/ROW]
[ROW][C]0.00120604278728020[/C][/ROW]
[ROW][C]-0.00295270466882788[/C][/ROW]
[ROW][C]0.00210599316629989[/C][/ROW]
[ROW][C]0.000990498911931231[/C][/ROW]
[ROW][C]0.00509695024258960[/C][/ROW]
[ROW][C]0.00186594515032243[/C][/ROW]
[ROW][C]-0.00370330770435148[/C][/ROW]
[ROW][C]0.00807964943583275[/C][/ROW]
[ROW][C]0.00139271501218907[/C][/ROW]
[ROW][C]2.49106599918003e-05[/C][/ROW]
[ROW][C]0.00989106724050526[/C][/ROW]
[ROW][C]-0.00536163477273063[/C][/ROW]
[ROW][C]-0.00720179245441571[/C][/ROW]
[ROW][C]0.00401854257679932[/C][/ROW]
[ROW][C]-0.00158553724549232[/C][/ROW]
[ROW][C]-0.00282897640978763[/C][/ROW]
[ROW][C]0.00100763062486570[/C][/ROW]
[ROW][C]0.00356556761512317[/C][/ROW]
[ROW][C]-0.00173464425005773[/C][/ROW]
[ROW][C]0.00427715430236952[/C][/ROW]
[ROW][C]-0.00419104846797433[/C][/ROW]
[ROW][C]0.00100787411940237[/C][/ROW]
[ROW][C]0.00238428106016683[/C][/ROW]
[ROW][C]-0.00848561373853812[/C][/ROW]
[ROW][C]-0.0112759333982029[/C][/ROW]
[ROW][C]-0.00427365546267273[/C][/ROW]
[ROW][C]-0.000371929409155355[/C][/ROW]
[ROW][C]-0.0107587257118845[/C][/ROW]
[ROW][C]0.0124335429638102[/C][/ROW]
[ROW][C]0.0047394730020357[/C][/ROW]
[ROW][C]-0.00145090347552437[/C][/ROW]
[ROW][C]-0.000162524523322979[/C][/ROW]
[ROW][C]0.00670732294121704[/C][/ROW]
[ROW][C]0.000985698777419414[/C][/ROW]
[ROW][C]-0.0072209132916887[/C][/ROW]
[ROW][C]0.00101954078848743[/C][/ROW]
[ROW][C]0.000111449589269647[/C][/ROW]
[ROW][C]0.00667744558607641[/C][/ROW]
[ROW][C]0.00135375518075140[/C][/ROW]
[ROW][C]0.0041052413196031[/C][/ROW]
[ROW][C]0.00454758777650208[/C][/ROW]
[ROW][C]0.00242006898388872[/C][/ROW]
[ROW][C]-0.00417819788796520[/C][/ROW]
[ROW][C]0.0067222719099159[/C][/ROW]
[ROW][C]-0.000619170512895922[/C][/ROW]
[ROW][C]-0.00483625050433775[/C][/ROW]
[ROW][C]0.000457625048159271[/C][/ROW]
[ROW][C]0.00271653954688603[/C][/ROW]
[ROW][C]0.00423966908425155[/C][/ROW]
[ROW][C]-0.00112081107586329[/C][/ROW]
[ROW][C]0.00197416982796036[/C][/ROW]
[ROW][C]-0.00598750854921704[/C][/ROW]
[ROW][C]0.00380309848722926[/C][/ROW]
[ROW][C]0.00847223048792514[/C][/ROW]
[ROW][C]0.000375882289262552[/C][/ROW]
[ROW][C]0.00437129256354471[/C][/ROW]
[ROW][C]-0.00990073145682982[/C][/ROW]
[ROW][C]-0.0117351123545347[/C][/ROW]
[ROW][C]-0.00149339077676619[/C][/ROW]
[ROW][C]0.00904345610509802[/C][/ROW]
[ROW][C]0.00307438281573683[/C][/ROW]
[ROW][C]0.00105441279677654[/C][/ROW]
[ROW][C]0.00294613353371082[/C][/ROW]
[ROW][C]-0.000325810931619097[/C][/ROW]
[ROW][C]0.00552560869333935[/C][/ROW]
[ROW][C]-0.00173072394421464[/C][/ROW]
[ROW][C]0.00869979180633354[/C][/ROW]
[ROW][C]-0.00121330651526014[/C][/ROW]
[ROW][C]-0.00203392473316738[/C][/ROW]
[ROW][C]0.0051200900986508[/C][/ROW]
[ROW][C]0.00560551121289804[/C][/ROW]
[ROW][C]-0.00219430875242071[/C][/ROW]
[ROW][C]-0.00241656071419813[/C][/ROW]
[ROW][C]0.00163775600239524[/C][/ROW]
[ROW][C]0.000341646849363164[/C][/ROW]
[ROW][C]-0.00394915441286289[/C][/ROW]
[ROW][C]0.00673309328301319[/C][/ROW]
[ROW][C]0.00548937461563007[/C][/ROW]
[ROW][C]-0.00329265148887400[/C][/ROW]
[ROW][C]0.00266508905403356[/C][/ROW]
[ROW][C]0.00115088049542136[/C][/ROW]
[ROW][C]-0.00379922700803212[/C][/ROW]
[ROW][C]0.0052831978485583[/C][/ROW]
[ROW][C]-0.00329299018028303[/C][/ROW]
[ROW][C]-0.00391040829741582[/C][/ROW]
[ROW][C]-0.00602637671903977[/C][/ROW]
[ROW][C]0.00238638718273687[/C][/ROW]
[ROW][C]0.00928348544082575[/C][/ROW]
[ROW][C]0.00260060740294685[/C][/ROW]
[ROW][C]0.00168965598108015[/C][/ROW]
[ROW][C]0.000789500648382624[/C][/ROW]
[ROW][C]-0.00869747929790354[/C][/ROW]
[ROW][C]-0.0065678511235534[/C][/ROW]
[ROW][C]-0.00464806181566479[/C][/ROW]
[ROW][C]0.00886988477083042[/C][/ROW]
[ROW][C]-0.00277307664432272[/C][/ROW]
[ROW][C]-0.00266851896238776[/C][/ROW]
[ROW][C]0.00759438344725086[/C][/ROW]
[ROW][C]-0.0057445719627284[/C][/ROW]
[ROW][C]-0.000371136003960271[/C][/ROW]
[ROW][C]0.0061835682963556[/C][/ROW]
[ROW][C]-0.00236850544126802[/C][/ROW]
[ROW][C]-0.00160805506959949[/C][/ROW]
[ROW][C]-0.00183915280629099[/C][/ROW]
[ROW][C]0.00402054949635064[/C][/ROW]
[ROW][C]-0.0003666545027389[/C][/ROW]
[ROW][C]-0.00323148459184086[/C][/ROW]
[ROW][C]-0.00876435917860122[/C][/ROW]
[ROW][C]-0.00139198999679913[/C][/ROW]
[ROW][C]0.00123951859528368[/C][/ROW]
[ROW][C]0.00307967342033760[/C][/ROW]
[ROW][C]-0.0020186917713943[/C][/ROW]
[ROW][C]-0.00544642487844826[/C][/ROW]
[ROW][C]0.00863006784681841[/C][/ROW]
[ROW][C]-0.000540795039796316[/C][/ROW]
[ROW][C]-0.0076611331709818[/C][/ROW]
[ROW][C]0.00250840177468625[/C][/ROW]
[ROW][C]-0.0076571858179609[/C][/ROW]
[ROW][C]-0.00716772202445992[/C][/ROW]
[ROW][C]-0.000446766545050437[/C][/ROW]
[ROW][C]-0.00694070503143898[/C][/ROW]
[ROW][C]-0.00374516541954359[/C][/ROW]
[ROW][C]0.0041109217401471[/C][/ROW]
[ROW][C]0.000906370105567877[/C][/ROW]
[ROW][C]0.00255643258064839[/C][/ROW]
[ROW][C]0.00539377951795758[/C][/ROW]
[ROW][C]-0.00142781100026831[/C][/ROW]
[ROW][C]0.0059339075131486[/C][/ROW]
[ROW][C]-0.00621143403000671[/C][/ROW]
[ROW][C]-0.000810020612100226[/C][/ROW]
[ROW][C]0.00394684184225141[/C][/ROW]
[ROW][C]-0.0120042653895566[/C][/ROW]
[ROW][C]0.00509124737207153[/C][/ROW]
[ROW][C]0.00321519658247973[/C][/ROW]
[ROW][C]-0.00216931494982919[/C][/ROW]
[ROW][C]0.00381389699376075[/C][/ROW]
[ROW][C]0.00329606890192752[/C][/ROW]
[ROW][C]-0.00199694286400556[/C][/ROW]
[ROW][C]-0.00535611891163079[/C][/ROW]
[ROW][C]0.00271737536168509[/C][/ROW]
[ROW][C]-0.00092995482398836[/C][/ROW]
[ROW][C]-0.0063226078686957[/C][/ROW]
[ROW][C]-0.00148562184196538[/C][/ROW]
[ROW][C]0.00341140749148258[/C][/ROW]
[ROW][C]0.000606835278228329[/C][/ROW]
[ROW][C]0.00250056191422821[/C][/ROW]
[ROW][C]0.000391913860546073[/C][/ROW]
[ROW][C]0.000740634485060426[/C][/ROW]
[ROW][C]-0.00346866606357432[/C][/ROW]
[ROW][C]0.00157266800340522[/C][/ROW]
[ROW][C]-0.00339875170270454[/C][/ROW]
[ROW][C]-0.00135529784579769[/C][/ROW]
[ROW][C]-0.00223613591028157[/C][/ROW]
[ROW][C]0.00251506871666562[/C][/ROW]
[ROW][C]-0.00285527218274534[/C][/ROW]
[ROW][C]-0.00057383049981416[/C][/ROW]
[ROW][C]-0.00664404327066481[/C][/ROW]
[ROW][C]0.00508727275519863[/C][/ROW]
[ROW][C]0.00354864195500848[/C][/ROW]
[ROW][C]-0.00182009695495941[/C][/ROW]
[ROW][C]-0.00170235157910145[/C][/ROW]
[ROW][C]-8.12310056750587e-05[/C][/ROW]
[ROW][C]2.50625358005074e-05[/C][/ROW]
[ROW][C]0.00205537084743315[/C][/ROW]
[ROW][C]0.00792460663072084[/C][/ROW]
[ROW][C]-0.00140898138586809[/C][/ROW]
[ROW][C]0.00123472085492154[/C][/ROW]
[ROW][C]-0.0056761078833425[/C][/ROW]
[ROW][C]0.000833930094590624[/C][/ROW]
[ROW][C]0.000632066128317899[/C][/ROW]
[ROW][C]-0.0030200308221692[/C][/ROW]
[ROW][C]-0.00450138662303365[/C][/ROW]
[ROW][C]0.00242165684916110[/C][/ROW]
[ROW][C]0.00267679299410015[/C][/ROW]
[ROW][C]-0.00422220836511397[/C][/ROW]
[ROW][C]0.00108784012456031[/C][/ROW]
[ROW][C]-0.00220830175310621[/C][/ROW]
[ROW][C]0.00107919329799624[/C][/ROW]
[ROW][C]-0.00199034169039428[/C][/ROW]
[ROW][C]0.000892589744374728[/C][/ROW]
[ROW][C]-0.000684446441348019[/C][/ROW]
[ROW][C]-0.00178754315584917[/C][/ROW]
[ROW][C]-0.00233191294183979[/C][/ROW]
[ROW][C]-0.000188112192542056[/C][/ROW]
[ROW][C]-0.00496720300027897[/C][/ROW]
[ROW][C]-0.00166156674282891[/C][/ROW]
[ROW][C]-0.000846503442948926[/C][/ROW]
[ROW][C]-0.00148915784684867[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=106681&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=106681&T=2

As an alternative you can also use a QR Code:

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

Estimated ARIMA Residuals
Value
0.000128583319362804
0.00115822116758264
-0.00595033185372356
0.00213543386749890
-0.0025338576136847
0.00293818678333686
0.00748629476772346
0.00557392734073345
0.00244697420875342
-0.00138664738637725
0.00530420982620516
-0.00751949571258606
0.00109863445246991
0.00160917308174369
-0.000658198064832194
-0.00101014720395362
0.00126724356249014
0.00679935921343147
-0.00570060640963596
-0.00139691393994890
-0.000279004923863069
-0.00422282800782006
-0.00191249057990806
0.00165474329177245
-0.00089526461892775
-0.00386750193540233
0.00455924691274998
0.000723270039616919
0.00130086495202625
-0.00204524024268776
0.00434599492316964
-0.00153758762213074
-0.00166328819684483
-0.00139675264407058
0.00177849998557242
0.00148257116769526
0.00185932050099069
0.00063639916153263
0.000375949453433194
-7.04543990917572e-05
-0.00198731088942175
0.00119575233345520
-0.000739860458460112
-0.000542432909908214
-0.00124322457383078
-0.00322968730630538
-0.000804995200745007
0.00014899001828661
0.00143968220303264
-0.00123476547661344
-0.000772365900580774
-0.0005488444198814
0.000378139271218242
0.00119992645867323
0.000975566413112056
-0.00105020079107385
0.00204232338296431
0.00127930229014145
-0.002112530348264
0.000123988296666017
-0.00178466980794514
0.00111254618858864
0.000889967726039359
2.76146849653713e-06
-0.000596251942252629
0.0003997064701384
0.00273346519024853
-2.50879280473126e-05
-0.000315645473974530
-0.00304628594625517
-0.00463422742669448
-0.0108845183481631
-0.00549373338296651
0.00408650937522498
-0.00214011972847773
0.00304599436447754
0.00283257602739849
0.00792862748298494
-0.000876217702530407
-0.00113869229060681
-0.00695749839014957
0.00745262609037035
0.00575460102900688
0.00600516370599743
0.00367328480471585
-0.000524769322049173
0.00918375876471753
-0.00467101556599706
-0.00541639984324283
0.00833051428236248
0.00197669654283031
-0.00251125350685347
-0.00519532073969578
-0.00313733399196695
-0.00195722545407592
0.000669923346835438
-0.000339870014631288
-0.00451667556561564
0.00200820497549867
0.000191987214595207
-0.000953628349630697
-0.00199606628359958
0.00152575547543288
0.00424098008750476
-0.00353793121480656
0.00221987173337154
-0.00100009141515892
-0.00510763892585894
-0.000537738516961622
0.00516838800013522
-0.00162474537357526
-0.00149947684158147
0.00207330157249710
0.00642283402533003
0.0211000168492628
0.00201700942086033
-0.00300391243709497
0.00973866267669699
-0.00525981289846181
-0.00165189717912068
-0.00261445210806621
-0.00634415679116765
-0.00576999567248881
0.00208794393787698
0.00152038111702599
0.00249238444056718
0.000716412753016815
-0.00622155770423555
0.000834197266519676
0.00280525956687178
0.00446568632343622
-0.00505071444772573
0.00329545840086296
-0.00286199753667024
-0.00257366342515072
0.00177071123623976
0.00336651416474668
0.000837163678040792
0.0016614005814706
0.00045095125316999
-0.00499428762262466
0.00713893031553256
7.57769329213231e-05
0.00259303150655704
0.00131032078562507
0.00471087051947064
-0.00363812597010368
0.00541452332532991
0.00529815757823618
0.000887382909804224
0.000123305761250053
0.00738024902316431
-0.0021763035453754
-0.0123550115400312
-0.00414277370872837
-0.00832556593637937
0.0112080415135186
-6.29830864148639e-05
0.00473534091623914
0.00645333735553025
-0.00798261589473315
0.000303255645785677
-0.0102855304756316
-0.00250765612187490
-0.00137693366014824
0.00518092256492861
-0.00266667493250528
-0.00240855806506968
0.00312454966815118
-0.00472185405495626
-0.00196027869084034
-0.00200622856363691
-0.0187690641479281
-0.00454456473312351
-0.0186014948259306
0.0094683511545138
-0.00492275883505602
0.00568698754431439
0.00359961265137693
0.00295233692181573
-0.00255739643502068
0.00120604278728020
-0.00295270466882788
0.00210599316629989
0.000990498911931231
0.00509695024258960
0.00186594515032243
-0.00370330770435148
0.00807964943583275
0.00139271501218907
2.49106599918003e-05
0.00989106724050526
-0.00536163477273063
-0.00720179245441571
0.00401854257679932
-0.00158553724549232
-0.00282897640978763
0.00100763062486570
0.00356556761512317
-0.00173464425005773
0.00427715430236952
-0.00419104846797433
0.00100787411940237
0.00238428106016683
-0.00848561373853812
-0.0112759333982029
-0.00427365546267273
-0.000371929409155355
-0.0107587257118845
0.0124335429638102
0.0047394730020357
-0.00145090347552437
-0.000162524523322979
0.00670732294121704
0.000985698777419414
-0.0072209132916887
0.00101954078848743
0.000111449589269647
0.00667744558607641
0.00135375518075140
0.0041052413196031
0.00454758777650208
0.00242006898388872
-0.00417819788796520
0.0067222719099159
-0.000619170512895922
-0.00483625050433775
0.000457625048159271
0.00271653954688603
0.00423966908425155
-0.00112081107586329
0.00197416982796036
-0.00598750854921704
0.00380309848722926
0.00847223048792514
0.000375882289262552
0.00437129256354471
-0.00990073145682982
-0.0117351123545347
-0.00149339077676619
0.00904345610509802
0.00307438281573683
0.00105441279677654
0.00294613353371082
-0.000325810931619097
0.00552560869333935
-0.00173072394421464
0.00869979180633354
-0.00121330651526014
-0.00203392473316738
0.0051200900986508
0.00560551121289804
-0.00219430875242071
-0.00241656071419813
0.00163775600239524
0.000341646849363164
-0.00394915441286289
0.00673309328301319
0.00548937461563007
-0.00329265148887400
0.00266508905403356
0.00115088049542136
-0.00379922700803212
0.0052831978485583
-0.00329299018028303
-0.00391040829741582
-0.00602637671903977
0.00238638718273687
0.00928348544082575
0.00260060740294685
0.00168965598108015
0.000789500648382624
-0.00869747929790354
-0.0065678511235534
-0.00464806181566479
0.00886988477083042
-0.00277307664432272
-0.00266851896238776
0.00759438344725086
-0.0057445719627284
-0.000371136003960271
0.0061835682963556
-0.00236850544126802
-0.00160805506959949
-0.00183915280629099
0.00402054949635064
-0.0003666545027389
-0.00323148459184086
-0.00876435917860122
-0.00139198999679913
0.00123951859528368
0.00307967342033760
-0.0020186917713943
-0.00544642487844826
0.00863006784681841
-0.000540795039796316
-0.0076611331709818
0.00250840177468625
-0.0076571858179609
-0.00716772202445992
-0.000446766545050437
-0.00694070503143898
-0.00374516541954359
0.0041109217401471
0.000906370105567877
0.00255643258064839
0.00539377951795758
-0.00142781100026831
0.0059339075131486
-0.00621143403000671
-0.000810020612100226
0.00394684184225141
-0.0120042653895566
0.00509124737207153
0.00321519658247973
-0.00216931494982919
0.00381389699376075
0.00329606890192752
-0.00199694286400556
-0.00535611891163079
0.00271737536168509
-0.00092995482398836
-0.0063226078686957
-0.00148562184196538
0.00341140749148258
0.000606835278228329
0.00250056191422821
0.000391913860546073
0.000740634485060426
-0.00346866606357432
0.00157266800340522
-0.00339875170270454
-0.00135529784579769
-0.00223613591028157
0.00251506871666562
-0.00285527218274534
-0.00057383049981416
-0.00664404327066481
0.00508727275519863
0.00354864195500848
-0.00182009695495941
-0.00170235157910145
-8.12310056750587e-05
2.50625358005074e-05
0.00205537084743315
0.00792460663072084
-0.00140898138586809
0.00123472085492154
-0.0056761078833425
0.000833930094590624
0.000632066128317899
-0.0030200308221692
-0.00450138662303365
0.00242165684916110
0.00267679299410015
-0.00422220836511397
0.00108784012456031
-0.00220830175310621
0.00107919329799624
-0.00199034169039428
0.000892589744374728
-0.000684446441348019
-0.00178754315584917
-0.00233191294183979
-0.000188112192542056
-0.00496720300027897
-0.00166156674282891
-0.000846503442948926
-0.00148915784684867

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

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Figure 3

PNG link

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PDF link

Figure 4

PNG link

Postscript link

PDF link

Figure 5

PNG link

Postscript link

PDF link

Figure 6

PNG link

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Figure 7

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = FALSE ; par2 = -0.4 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;

Parameters (R input):

par1 = FALSE ; par2 = -0.4 ; par3 = 1 ; par4 = 0 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;

R code (references can be found in the software module):

library(lattice)
if (par1 == 'TRUE') par1 <- TRUE
if (par1 == 'FALSE') par1 <- FALSE
par2 <- as.numeric(par2) #Box-Cox lambda transformation parameter
par3 <- as.numeric(par3) #degree of non-seasonal differencing
par4 <- as.numeric(par4) #degree of seasonal differencing
par5 <- as.numeric(par5) #seasonal period
par6 <- as.numeric(par6) #degree (p) of the non-seasonal AR(p) polynomial
par7 <- as.numeric(par7) #degree (q) of the non-seasonal MA(q) polynomial
par8 <- as.numeric(par8) #degree (P) of the seasonal AR(P) polynomial
par9 <- as.numeric(par9) #degree (Q) of the seasonal MA(Q) polynomial
armaGR <- function(arima.out, names, n){
try1 <- arima.out$coef
try2 <- sqrt(diag(arima.out$var.coef))
try.data.frame  <- data.frame(matrix(NA,ncol=4,nrow=length(names)))
dimnames(try.data.frame) <- list(names,c('coef','std','tstat','pv'))
try.data.frame[,1] <- try1
for(i in 1:length(try2)) try.data.frame[which(rownames(try.data.frame)==names(try2)[i]),2] <- try2[i]
try.data.frame[,3] <- try.data.frame[,1] / try.data.frame[,2]
try.data.frame[,4] <- round((1-pt(abs(try.data.frame[,3]),df=n-(length(try2)+1)))*2,5)
vector <- rep(NA,length(names))
vector[is.na(try.data.frame[,4])] <- 0
maxi <- which.max(try.data.frame[,4])
continue <- max(try.data.frame[,4],na.rm=TRUE) > .05
vector[maxi] <- 0
list(summary=try.data.frame,next.vector=vector,continue=continue)
}
arimaSelect <- function(series, order=c(13,0,0), seasonal=list(order=c(2,0,0),period=12), include.mean=F){
nrc <- order[1]+order[3]+seasonal$order[1]+seasonal$order[3]
coeff <- matrix(NA, nrow=nrc*2, ncol=nrc)
pval <- matrix(NA, nrow=nrc*2, ncol=nrc)
mylist <- rep(list(NULL), nrc)
names  <- NULL
if(order[1] > 0) names <- paste('ar',1:order[1],sep='')
if(order[3] > 0) names <- c( names , paste('ma',1:order[3],sep='') )
if(seasonal$order[1] > 0) names <- c(names, paste('sar',1:seasonal$order[1],sep=''))
if(seasonal$order[3] > 0) names <- c(names, paste('sma',1:seasonal$order[3],sep=''))
arima.out <- arima(series, order=order, seasonal=seasonal, include.mean=include.mean, method='ML')
mylist[[1]] <- arima.out
last.arma <- armaGR(arima.out, names, length(series))
mystop <- FALSE
i <- 1
coeff[i,] <- last.arma[[1]][,1]
pval [i,] <- last.arma[[1]][,4]
i <- 2
aic <- arima.out$aic
while(!mystop){
mylist[[i]] <- arima.out
arima.out <- arima(series, order=order, seasonal=seasonal, include.mean=include.mean, method='ML', fixed=last.arma$next.vector)
aic <- c(aic, arima.out$aic)
last.arma <- armaGR(arima.out, names, length(series))
mystop <- !last.arma$continue
coeff[i,] <- last.arma[[1]][,1]
pval [i,] <- last.arma[[1]][,4]
i <- i+1
}
list(coeff, pval, mylist, aic=aic)
}
arimaSelectplot <- function(arimaSelect.out,noms,choix){
noms <- names(arimaSelect.out[[3]][[1]]$coef)
coeff <- arimaSelect.out[[1]]
k <- min(which(is.na(coeff[,1])))-1
coeff <- coeff[1:k,]
pval  <- arimaSelect.out[[2]][1:k,]
aic   <- arimaSelect.out$aic[1:k]
coeff[coeff==0] <- NA
n <- ncol(coeff)
if(missing(choix)) choix <- k
layout(matrix(c(1,1,1,2,
3,3,3,2,
3,3,3,4,
5,6,7,7),nr=4),
widths=c(10,35,45,15),
heights=c(30,30,15,15))
couleurs <- rainbow(75)[1:50]#(50)
ticks <- pretty(coeff)
par(mar=c(1,1,3,1))
plot(aic,k:1-.5,type='o',pch=21,bg='blue',cex=2,axes=F,lty=2,xpd=NA)
points(aic[choix],k-choix+.5,pch=21,cex=4,bg=2,xpd=NA)
title('aic',line=2)
par(mar=c(3,0,0,0))
plot(0,axes=F,xlab='',ylab='',xlim=range(ticks),ylim=c(.1,1))
rect(xleft  = min(ticks) + (0:49)/50*(max(ticks)-min(ticks)),
xright = min(ticks) + (1:50)/50*(max(ticks)-min(ticks)),
ytop   = rep(1,50),
ybottom= rep(0,50),col=couleurs,border=NA)
axis(1,ticks)
rect(xleft=min(ticks),xright=max(ticks),ytop=1,ybottom=0)
text(mean(coeff,na.rm=T),.5,'coefficients',cex=2,font=2)
par(mar=c(1,1,3,1))
image(1:n,1:k,t(coeff[k:1,]),axes=F,col=couleurs,zlim=range(ticks))
for(i in 1:n) for(j in 1:k) if(!is.na(coeff[j,i])) {
if(pval[j,i]<.01)                            symb = 'green'
else if( (pval[j,i]<.05) & (pval[j,i]>=.01)) symb = 'orange'
else if( (pval[j,i]<.1)  & (pval[j,i]>=.05)) symb = 'red'
else                                         symb = 'black'
polygon(c(i+.5   ,i+.2   ,i+.5   ,i+.5),
c(k-j+0.5,k-j+0.5,k-j+0.8,k-j+0.5),
col=symb)
if(j==choix)  {
rect(xleft=i-.5,
xright=i+.5,
ybottom=k-j+1.5,
ytop=k-j+.5,
lwd=4)
text(i,
k-j+1,
round(coeff[j,i],2),
cex=1.2,
font=2)
}
else{
rect(xleft=i-.5,xright=i+.5,ybottom=k-j+1.5,ytop=k-j+.5)
text(i,k-j+1,round(coeff[j,i],2),cex=1.2,font=1)
}
}
axis(3,1:n,noms)
par(mar=c(0.5,0,0,0.5))
plot(0,axes=F,xlab='',ylab='',type='n',xlim=c(0,8),ylim=c(-.2,.8))
cols <- c('green','orange','red','black')
niv  <- c('0','0.01','0.05','0.1')
for(i in 0:3){
polygon(c(1+2*i   ,1+2*i   ,1+2*i-.5   ,1+2*i),
c(.4      ,.7      , .4        , .4),
col=cols[i+1])
text(2*i,0.5,niv[i+1],cex=1.5)
}
text(8,.5,1,cex=1.5)
text(4,0,'p-value',cex=2)
box()
residus <- arimaSelect.out[[3]][[choix]]$res
par(mar=c(1,2,4,1))
acf(residus,main='')
title('acf',line=.5)
par(mar=c(1,2,4,1))
pacf(residus,main='')
title('pacf',line=.5)
par(mar=c(2,2,4,1))
qqnorm(residus,main='')
title('qq-norm',line=.5)
qqline(residus)
residus
}
if (par2 == 0) x <- log(x)
if (par2 != 0) x <- x^par2
(selection <- arimaSelect(x, order=c(par6,par3,par7), seasonal=list(order=c(par8,par4,par9), period=par5)))
bitmap(file='test1.png')
resid <- arimaSelectplot(selection)
dev.off()
resid
bitmap(file='test2.png')
acf(resid,length(resid)/2, main='Residual Autocorrelation Function')
dev.off()
bitmap(file='test3.png')
pacf(resid,length(resid)/2, main='Residual Partial Autocorrelation Function')
dev.off()
bitmap(file='test4.png')
cpgram(resid, main='Residual Cumulative Periodogram')
dev.off()
bitmap(file='test5.png')
hist(resid, main='Residual Histogram', xlab='values of Residuals')
dev.off()
bitmap(file='test6.png')
densityplot(~resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test7.png')
qqnorm(resid, main='Residual Normal Q-Q Plot')
qqline(resid)
dev.off()
ncols <- length(selection[[1]][1,])
nrows <- length(selection[[2]][,1])-1
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ARIMA Parameter Estimation and Backward Selection', ncols+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Iteration', header=TRUE)
for (i in 1:ncols) {
a<-table.element(a,names(selection[[3]][[1]]$coef)[i],header=TRUE)
}
a<-table.row.end(a)
for (j in 1:nrows) {
a<-table.row.start(a)
mydum <- 'Estimates ('
mydum <- paste(mydum,j)
mydum <- paste(mydum,')')
a<-table.element(a,mydum, header=TRUE)
for (i in 1:ncols) {
a<-table.element(a,round(selection[[1]][j,i],4))
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'(p-val)', header=TRUE)
for (i in 1:ncols) {
mydum <- '('
mydum <- paste(mydum,round(selection[[2]][j,i],4),sep='')
mydum <- paste(mydum,')')
a<-table.element(a,mydum)
}
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,'Estimated ARIMA Residuals', 1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Value', 1,TRUE)
a<-table.row.end(a)
for (i in (par4*par5+par3):length(resid)) {
a<-table.row.start(a)
a<-table.element(a,resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code