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Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_variancereduction.wasp
Title produced by softwareVariance Reduction Matrix
Date of computationWed, 15 Dec 2010 16:54:41 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2010/Dec/15/t1292431957wo2codokrkzweif.htm/, Retrieved Fri, 03 May 2024 11:11:04 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=110571, Retrieved Fri, 03 May 2024 11:11:04 +0000
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Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact177
Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Variance Reduction Matrix] [Unemployment] [2010-11-29 09:29:57] [b98453cac15ba1066b407e146608df68]
- R PD  [Variance Reduction Matrix] [tutorial ] [2010-12-13 19:46:27] [2db53827eae1799a3d605fb62e1e92dc]
-    D      [Variance Reduction Matrix] [tutorial9VRM] [2010-12-15 16:54:41] [6e19356a8195a048e2417405f21c29e8] [Current]
- R PD        [Variance Reduction Matrix] [Workshop9] [2010-12-17 20:06:18] [8b2514d8f13517d765015fc185a22b4b]
-    D        [Variance Reduction Matrix] [VRM OTR] [2010-12-19 10:43:44] [46df8573ee32a55e1a6edcfb6691f406]
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Dataseries X:
1,3866
1,3582
1,3332
1,3595
1,3617
1,3684
1,3394
1,3262
1,3173
1,3085
1,327
1,3182
1,293
1,291
1,2984
1,2795
1,299
1,3174
1,326
1,3111
1,2816
1,276
1,2849
1,2818
1,2829
1,2796
1,3008
1,2967
1,2938
1,2833
1,2823
1,2765
1,2634
1,2596
1,2705
1,2591
1,2798
1,2763
1,2795
1,2782
1,2644
1,2596
1,2615
1,2555
1,2555
1,2658
1,2565
1,2783
1,2786
1,2782
1,2905
1,3042
1,2942
1,313
1,3671
1,3549
1,3558
1,3507
1,3494
1,3607
1,3295
1,3193
1,3308
1,3246
1,3392
1,3425
1,3496
1,3255
1,3231
1,3273
1,3276
1,3173
1,3196
1,3058
1,2966
1,2932
1,2947
1,305
1,3232
1,3125
1,2992
1,3266
1,3275
1,3223
1,3403
1,3322
1,3363
1,3425
1,3574
1,3683
1,3623
1,3563
1,3518
1,3494
1,3612
1,369
1,3771
1,3972
1,401
1,3908
1,3901
1,3856
1,4098
1,422
1,4238
1,4207
1,4095
1,4177
1,3866
1,3959
1,4102
1,3969
1,4004
1,385
1,389
1,384
1,392
1,3932
1,3858
1,3978
1,4029
1,394
1,4096
1,4058
1,4134
1,4096
1,4049
1,4009
1,3897
1,4019
1,3901
1,399
1,3901
1,3975
1,3991
1,4089
1,413
1,409
1,4217
1,4223
1,4191
1,4229
1,4227
1,4269
1,4229
1,4104
1,4053
1,4138
1,4303
1,4384
1,441
1,437
1,4357
1,4202
1,4166
1,417
1,4293
1,4294
1,4072
1,4101
1,4112
1,4243
1,433
1,4323
1,4324
1,427
1,4268
1,4364
1,4272
1,4314
1,422
1,4335
1,4262
1,433
1,4473
1,4522
1,4545
1,4594
1,4561
1,4611
1,4671
1,4712
1,4705
1,4658
1,478
1,4783
1,4768
1,467
1,465
1,4549
1,4643
1,4539
1,4537
1,4616
1,4722
1,4694
1,4763
1,475
1,4765
1,4864
1,4881
1,4864
1,4869
1,4918
1,4971
1,4921
1,5
1,502
1,5019
1,4874
1,4785
1,4788
1,48
1,4772
1,4658
1,4761
1,4867
1,4862
1,4984
1,4966
1,5037
1,4922
1,4868
1,4965
1,4875
1,4957
1,4863
1,4815
1,4968
1,4969
1,5083
1,5071
1,4918
1,5023
1,5074
1,509
1,512
1,5068
1,4787
1,4774
1,4768
1,473
1,4757
1,4647
1,4541
1,456
1,4343
1,4337
1,4368
1,4279
1,4276
1,4398
1,4405
1,4433
1,4338
1,4406
1,4389
1,4442
1,435
1,4304
1,4273
1,4528
1,4481
1,4563
1,4486
1,4374
1,4369
1,4279
1,4132
1,4064
1,4135
1,4151
1,4085
1,4072
1,3999
1,3966
1,3913
1,3937
1,3984
1,3847
1,3691
1,3675
1,376
1,374
1,3718
1,3572
1,3607
1,3649
1,3726
1,3567
1,3519
1,3626
1,3577
1,3547
1,3489
1,357
1,3525
1,3548
1,3641
1,3668
1,3582
1,3662
1,3557
1,361
1,3657
1,3765
1,3705
1,3723
1,3756
1,366
1,3548
1,3471
1,3519
1,3338
1,3356
1,3353
1,3471
1,3482
1,3479
1,3468
1,3396
1,334
1,3296
1,3384
1,3585
1,3583
1,3615
1,3544
1,3535
1,3432
1,3486
1,3373
1,3339
1,3311
1,3321
1,329
1,3245
1,3256
1,3315
1,3238
1,3089
1,2924
1,2727
1,2746
1,2969
1,2698
1,2686
1,2587
1,2492
1,2349
1,2428
1,227
1,2334
1,2497
1,236
1,2223
1,2309
1,2255
1,2384
1,2307
1,2155
1,2218
1,2268
1,206
1,1959
1,1942
1,201
1,2045
1,2127
1,2249
1,2258
1,2277
1,2363
1,2372
1,2391
1,2258
1,2271
1,2262
1,2294
1,2339
1,2198
1,2271
1,2328
1,2548
1,2531
1,2579
1,2567
1,266
1,2637
1,2572
1,2569
1,2703
1,2828
1,3
1,2957
1,2844
1,2817
1,285
1,2897
1,2931
1,3033
1,2992
1,3069
1,3028
1,3073
1,3221
1,3206
1,3184
1,3176
1,3253
1,3133
1,3016
1,279
1,2799
1,282
1,286
1,288
1,2836
1,2711
1,2704
1,2611
1,2613
1,2693
1,2713
1,27
1,268
1,28
1,2818
1,2834
1,2874
1,2744
1,2697
1,2715
1,2725
1,2801
1,285
1,2989
1,3078
1,306
1,3074
1,312
1,3364
1,3323
1,3412
1,3477
1,346
1,3611
1,3648
1,3726
1,3705
1,378
1,3856
1,397
1,3874
1,3936
1,3833
1,3958
1,4101
1,4089
1,3896
1,3859
1,3861
1,4016
1,3934
1,4031
1,3912
1,3803
1,3857
1,3857
1,3926
1,4018
1,4014
1,4244
1,4084
1,3917
1,3945
1,377
1,37
1,3711
1,3626
1,3612
1,3481
1,3647
1,3674
1,3647
1,3496
1,3339
1,3321
1,3225
1,3146
1,2998




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' @ 72.249.76.132

\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' @ 72.249.76.132 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110571&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' @ 72.249.76.132[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110571&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110571&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' @ 72.249.76.132







Variance Reduction Matrix
V(Y[t],d=0,D=0)0.00584875751020408Range0.3178Trim Var.0.00430424827685013
V(Y[t],d=1,D=0)0.000105984098159509Range0.0853000000000002Trim Var.5.80760014495755e-05
V(Y[t],d=2,D=0)0.000211507872456335Range0.117600000000000Trim Var.0.000124381196783891
V(Y[t],d=3,D=0)0.000631111648054331Range0.181300Trim Var.0.000373691827058713
V(Y[t],d=0,D=1)0.000472481366127869Range0.150900000000000Trim Var.0.000298738268638617
V(Y[t],d=1,D=1)0.00019087227502769Range0.0977999999999999Trim Var.0.000107502988187934
V(Y[t],d=2,D=1)0.000387779354713139Range0.150600000000000Trim Var.0.000226515218920616
V(Y[t],d=3,D=1)0.00115897023117961Range0.240499999999999Trim Var.0.000679924131596955
V(Y[t],d=0,D=2)0.000854011614691615Range0.1621Trim Var.0.000534419730966384
V(Y[t],d=1,D=2)0.000565946829331941Range0.160000000000000Trim Var.0.000337346830798315
V(Y[t],d=2,D=2)0.00115616615787772Range0.207599999999999Trim Var.0.000705461440889223
V(Y[t],d=3,D=2)0.00349035980246133Range0.380299999999997Trim Var.0.00213653157526969

\begin{tabular}{lllllllll}
\hline
Variance Reduction Matrix \tabularnewline
V(Y[t],d=0,D=0) & 0.00584875751020408 & Range & 0.3178 & Trim Var. & 0.00430424827685013 \tabularnewline
V(Y[t],d=1,D=0) & 0.000105984098159509 & Range & 0.0853000000000002 & Trim Var. & 5.80760014495755e-05 \tabularnewline
V(Y[t],d=2,D=0) & 0.000211507872456335 & Range & 0.117600000000000 & Trim Var. & 0.000124381196783891 \tabularnewline
V(Y[t],d=3,D=0) & 0.000631111648054331 & Range & 0.181300 & Trim Var. & 0.000373691827058713 \tabularnewline
V(Y[t],d=0,D=1) & 0.000472481366127869 & Range & 0.150900000000000 & Trim Var. & 0.000298738268638617 \tabularnewline
V(Y[t],d=1,D=1) & 0.00019087227502769 & Range & 0.0977999999999999 & Trim Var. & 0.000107502988187934 \tabularnewline
V(Y[t],d=2,D=1) & 0.000387779354713139 & Range & 0.150600000000000 & Trim Var. & 0.000226515218920616 \tabularnewline
V(Y[t],d=3,D=1) & 0.00115897023117961 & Range & 0.240499999999999 & Trim Var. & 0.000679924131596955 \tabularnewline
V(Y[t],d=0,D=2) & 0.000854011614691615 & Range & 0.1621 & Trim Var. & 0.000534419730966384 \tabularnewline
V(Y[t],d=1,D=2) & 0.000565946829331941 & Range & 0.160000000000000 & Trim Var. & 0.000337346830798315 \tabularnewline
V(Y[t],d=2,D=2) & 0.00115616615787772 & Range & 0.207599999999999 & Trim Var. & 0.000705461440889223 \tabularnewline
V(Y[t],d=3,D=2) & 0.00349035980246133 & Range & 0.380299999999997 & Trim Var. & 0.00213653157526969 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=110571&T=1

[TABLE]
[ROW][C]Variance Reduction Matrix[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=0)[/C][C]0.00584875751020408[/C][C]Range[/C][C]0.3178[/C][C]Trim Var.[/C][C]0.00430424827685013[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=0)[/C][C]0.000105984098159509[/C][C]Range[/C][C]0.0853000000000002[/C][C]Trim Var.[/C][C]5.80760014495755e-05[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=0)[/C][C]0.000211507872456335[/C][C]Range[/C][C]0.117600000000000[/C][C]Trim Var.[/C][C]0.000124381196783891[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=0)[/C][C]0.000631111648054331[/C][C]Range[/C][C]0.181300[/C][C]Trim Var.[/C][C]0.000373691827058713[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=1)[/C][C]0.000472481366127869[/C][C]Range[/C][C]0.150900000000000[/C][C]Trim Var.[/C][C]0.000298738268638617[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=1)[/C][C]0.00019087227502769[/C][C]Range[/C][C]0.0977999999999999[/C][C]Trim Var.[/C][C]0.000107502988187934[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=1)[/C][C]0.000387779354713139[/C][C]Range[/C][C]0.150600000000000[/C][C]Trim Var.[/C][C]0.000226515218920616[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=1)[/C][C]0.00115897023117961[/C][C]Range[/C][C]0.240499999999999[/C][C]Trim Var.[/C][C]0.000679924131596955[/C][/ROW]
[ROW][C]V(Y[t],d=0,D=2)[/C][C]0.000854011614691615[/C][C]Range[/C][C]0.1621[/C][C]Trim Var.[/C][C]0.000534419730966384[/C][/ROW]
[ROW][C]V(Y[t],d=1,D=2)[/C][C]0.000565946829331941[/C][C]Range[/C][C]0.160000000000000[/C][C]Trim Var.[/C][C]0.000337346830798315[/C][/ROW]
[ROW][C]V(Y[t],d=2,D=2)[/C][C]0.00115616615787772[/C][C]Range[/C][C]0.207599999999999[/C][C]Trim Var.[/C][C]0.000705461440889223[/C][/ROW]
[ROW][C]V(Y[t],d=3,D=2)[/C][C]0.00349035980246133[/C][C]Range[/C][C]0.380299999999997[/C][C]Trim Var.[/C][C]0.00213653157526969[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=110571&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=110571&T=1

As an alternative you can also use a QR Code:  

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

Variance Reduction Matrix
V(Y[t],d=0,D=0)0.00584875751020408Range0.3178Trim Var.0.00430424827685013
V(Y[t],d=1,D=0)0.000105984098159509Range0.0853000000000002Trim Var.5.80760014495755e-05
V(Y[t],d=2,D=0)0.000211507872456335Range0.117600000000000Trim Var.0.000124381196783891
V(Y[t],d=3,D=0)0.000631111648054331Range0.181300Trim Var.0.000373691827058713
V(Y[t],d=0,D=1)0.000472481366127869Range0.150900000000000Trim Var.0.000298738268638617
V(Y[t],d=1,D=1)0.00019087227502769Range0.0977999999999999Trim Var.0.000107502988187934
V(Y[t],d=2,D=1)0.000387779354713139Range0.150600000000000Trim Var.0.000226515218920616
V(Y[t],d=3,D=1)0.00115897023117961Range0.240499999999999Trim Var.0.000679924131596955
V(Y[t],d=0,D=2)0.000854011614691615Range0.1621Trim Var.0.000534419730966384
V(Y[t],d=1,D=2)0.000565946829331941Range0.160000000000000Trim Var.0.000337346830798315
V(Y[t],d=2,D=2)0.00115616615787772Range0.207599999999999Trim Var.0.000705461440889223
V(Y[t],d=3,D=2)0.00349035980246133Range0.380299999999997Trim Var.0.00213653157526969



Parameters (Session):
par1 = 4 ;
Parameters (R input):
par1 = 4 ;
R code (references can be found in the software module):
par1 <- 5
n <- length(x)
sx <- sort(x)
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Variance Reduction Matrix',6,TRUE)
a<-table.row.end(a)
for (bigd in 0:2) {
for (smalld in 0:3) {
mylabel <- 'V(Y[t],d='
mylabel <- paste(mylabel,as.character(smalld),sep='')
mylabel <- paste(mylabel,',D=',sep='')
mylabel <- paste(mylabel,as.character(bigd),sep='')
mylabel <- paste(mylabel,')',sep='')
a<-table.row.start(a)
a<-table.element(a,mylabel,header=TRUE)
myx <- x
if (smalld > 0) myx <- diff(x,lag=1,differences=smalld)
if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd)
a<-table.element(a,var(myx))
a<-table.element(a,'Range',header=TRUE)
a<-table.element(a,max(myx)-min(myx))
a<-table.element(a,'Trim Var.',header=TRUE)
smyx <- sort(myx)
sn <- length(smyx)
a<-table.element(a,var(smyx[smyx>quantile(smyx,0.05) & smyxa<-table.row.end(a)
}
}
a<-table.end(a)
table.save(a,file='mytable.tab')