Muestreo por etapas univariable

En el primer código, tomaré una población con 20 conglomerados y estudiaré estimaciones del total verdadero comparando si la media es única bajo parámetros de media similar. Al realizar el muestreo se toman 600 unidades elementales y los totales estimados son similares al total verdadero y sus varianzas bietápicas poco difieren.

##             [,1]         [,2]         [,3]         [,4]         [,5]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20116945     19664455     20289621     19926695     20203258
## v1  338744133293 486087943943 528127918294 419259665023 218659378435
## v1x  89316420000  98684821227 119920357654 160347842605 146339675701
## l11     19405661     18916798     19465438     18973661     19292804
## l12     20828228     20412112     21113803     20879730     21113712
##                1            1            1            1            1
##             [,6]         [,7]         [,8]         [,9]        [,10]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20193620     20358449     19840869     20339979     19831474
## v1  206705875565 195952759074 179274818082 173921119237 210297721937
## v1x 162856421403 166303459777 179274818082  93978341286 110695594094
## l11     19233160     19387877     18833157     19610369     19039626
## l12     21154081     21329020     20848582     21069589     20623323
##                1            1            1            1            1
##            [,11]        [,12]        [,13]        [,14]        [,15]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      19647538     20440564     20053930     19088624     19473376
## v1  458658895709 482612725765 306146909227 265625593090 219729924206
## v1x 136054787992 145234224127 145265872320 173646578467 174805272242
## l11     18769661     19533555     19146823     18096856     18478304
## l12     20525415     21347572     20961038     20080392     20468447
##                1            1            1            1            1
##            [,16]        [,17]        [,18]        [,19]        [,20]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      20804573     19879881     19857524     20286386     19850242
## v1  183538390750 336781562358 279772300706 232940275202 674725925037
## v1x 183538390750  87941968315 116134411443 129761153834 127099723116
## l11     19784948     19174092     19046456     19429053     19001747
## l12     21824198     20585671     20668593     21143718     20698737
##                1            1            1            1            1
##            [,21]        [,22]        [,23]        [,24]        [,25]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19443402     19350763     19844304     19581326     20116152
## v1  318559959542 287546530788 220290106772 179731547938 472721798436
## v1x 116179409257 141956759183 141902448971 179731547938  90432200531
## l11     18632177     18454047     18947759     18572331     19400440
## l12     20254627     20247479     20740848     20590322     20831865
##                1            1            1            1            1
##            [,26]        [,27]        [,28]        [,29]        [,30]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19449464     19930396     19763264     20287927     19301985
## v1  275825415446 229618823535 213524818042 168701745456 206797591511
## v1x  95844467310 121552657741 141278966348 117959676440 162180889680
## l11     18712646     19100624     18868691     19470510     18343519
## l12     20186282     20760169     20657837     21105344     20260451
##                1            1            1            1            1
##            [,31]        [,32]        [,33]        [,34]        [,35]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19906386     19289213     19757084     20196261     20409729
## v1  179715108771 185338110597 498212294294 309191488086 314230613422
## v1x 156213842199 185338110597  49195354189  95710291700 104534106521
## l11     18965718     18264601     19229199     19459958     19640234
## l12     20847055     20313825     20284968     20932563     21179224
##                1            1            1            1            1
##            [,36]        [,37]        [,38]        [,39]        [,40]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20365827     20384669     20178246     20104534     19526633
## v1  315592660038 174438573630 261630963332 203356825814 166192070282
## v1x 119686730988 110069837983 164246902307 161079188777 166192070282
## l11     19542448     19595062     19213695     19149329     18556387
## l12     21189206     21174277     21142798     21059739     20496880
##                1            1            1            1            1
##            [,41]        [,42]        [,43]        [,44]        [,45]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20488131     20255833     20362313     19364328     19776780
## v1  215138627743 140853579793 772415405924 551192742182 246897149540
## v1x  52413774792  64248026855 138943218704 153526049037 135528120814
## l11     19943253     19652570     19475166     18431787     18900604
## l12     21033010     20859097     21249460     20296869     20652957
##                1            1            1            1            1
##            [,46]        [,47]        [,48]        [,49]        [,50]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20340981     19595370     19493804     19988236     19975695
## v1  232701870315 199416089217 158335179901 205807896955 246270639893
## v1x 152570278588 144656434720 158335179901  68364830180  91426036746
## l11     19411347     18690167     18546770     19365946     19256060
## l12     21270615     20500572     20440839     20610527     20695329
##                1            1            1            1            1
##            [,51]        [,52]        [,53]        [,54]        [,55]
## n1             5 6.000000e+00           10           12           15
## m1           120 1.000000e+02           60           50           40
## t1      20065446 1.988855e+07     20552355     19782549     20390614
## v1  208894654823 2.524433e+12 882702067340 653248334284 390299904014
## v1x 108191482491 2.605069e+11 210232402721 244007229667 219964266170
## l11     19282605 1.867380e+07     19461098     18606898     19274386
## l12     20848287 2.110330e+07     21643611     20958199     21506842
##                1 1.000000e+00            1            1            1
##            [,56]        [,57]        [,58]        [,59]        [,60]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      20925223     19746872     19414389     20021242     20583439
## v1  234617854718 292360834807 218556562056 203997541999 217797471630
## v1x 234617854718  61588085744  88219000828 113595386464 155930449266
## l11     19772414     19156229     18707489     19219089     19643624
## l12     22078032     20337515     20121289     20823395     21523255
##                1            1            1            1            1
##            [,61]        [,62]        [,63]        [,64]        [,65]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19673862     19927585     19496621     20584494     20120368
## v1  181554752335 188954206957 182011983880 192137064597 142054440477
## v1x 141281570390 162306168560 163614051978 192137064597  80146957540
## l11     18779281     18968749     18533929     19541258     19446584
## l12     20568443     20886422     20459312     21627730     20794152
##                1            1            1            1            1
##            [,66]        [,67]        [,68]        [,69]        [,70]
## n1             4 5.000000e+00            6           10           12
## m1           150 1.200000e+02          100           60           50
## t1      20134278 1.997532e+07     20326039     19873440     19974882
## v1  187661184448 1.009713e+12 885776916488 390994656612 312282717769
## v1x 121800571040 1.842096e+11 194932547023 159265043348 185138067788
## l11     19303660 1.895383e+07     19275241     18923629     18950823
## l12     20964897 2.099680e+07     21376837     20823251     20998941
##                1 1.000000e+00            1            1            1
##            [,71]        [,72]        [,73]        [,74]        [,75]
## n1            15           20 3.000000e+00 4.000000e+00            5
## m1            40           30 2.000000e+02 1.500000e+02          120
## t1      20098281     20066560 1.963110e+07 1.979415e+07     20562080
## v1  245046397020 186273801088 1.992589e+12 1.034761e+12 726996279495
## v1x 173351412760 186273801088 8.653573e+10 1.049095e+11 164223922041
## l11     19107356     19039365 1.893097e+07 1.902327e+07     19597596
## l12     21089205     21093755 2.033122e+07 2.056503e+07     21526564
##                1            1 1.000000e+00 1.000000e+00            1
##            [,76]        [,77]        [,78]        [,79]        [,80]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20000660     19789293     19837579     20690607     19232886
## v1  626589545299 322205606903 300090905147 242258809128 182242348051
## v1x 170214983020 134816811553 168419417933 179768297076 182242348051
## l11     19018740     18915419     18860852     19681509     18216867
## l12     20982579     20663167     20814306     21699705     20248904
##                1            1            1            1            1
##            [,81]        [,82]        [,83]        [,84]        [,85]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20118395     19872175     19764957     20439851     20539710
## v1  721799513325 605587041581 414917892022 417623348297 256197680572
## v1x  52760892146 127079824505 131822653590 180708221431 151684555628
## l11     19571715     19023746     18900841     19428118     19612778
## l12     20665075     20720603     20629073     21451584     21466641
##                1            1            1            1            1
##            [,86]        [,87]        [,88]        [,89]        [,90]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20679346     19980758     20223894     19755146     19978392
## v1  288405915006 213421982314 187678219458 120846880746 116201206955
## v1x 170618287949 165852140084 187678219458  69985561721  78042965753
## l11     19696264     19011505     19192834     19125522     19313511
## l12     21662428     20950012     21254954     20384770     20643272
##                1            1            1            1            1
##            [,91]        [,92]        [,93]        [,94]        [,95]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20004473     19765666     19634473     19816943     20280275
## v1  502914127911 384459416865 201356273196 243388838032 190038174563
## v1x 102114293951 113700472260 116791617886 159274088511 152901690245
## l11     19243936     18963142     18821113     18867105     19349632
## l12     20765010     20568190     20447833     20766781     21210918
##                1            1            1            1            1
##            [,96]        [,97]        [,98]        [,99]       [,100]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19665446     19561526     20260880     19977337     19567138
## v1  171458040207 100943067929 170887356134 194368503410 315980550985
## v1x 171458040207  61678648800  87741555293 117033999576 131561482744
## l11     18679948     18970448     19555895     19163133     18703879
## l12     20650944     20152603     20965865     20791540     20430398
##                1            1            1            1            1
##           [,101]       [,102]       [,103]       [,104]       [,105]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19740301     19539815     20651590     19715914     20429018
## v1  232449328787 196292844032 203587498174 182057493620 488332415260
## v1x 123390020525 136789770615 137003007897 182057493620  75138817599
## l11     18904280     18659570     19770659     18700411     19776625
## l12     20576321     20420061     21532522     20731417     21081410
##                1            1            1            1            1
##           [,106]       [,107]       [,108]       [,109]       [,110]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19413468     20224383     20229377     20392465     19731440
## v1  444460853378 355498487728 304095766858 293123116455 309629373753
## v1x 112293563661 123786711791 156186368960 139459135412 151405262000
## l11     18615925     19387020     19288791     19503673     18805362
## l12     20211012     21061747     21169963     21281258     20657517
##                1            1            1            1            1
##           [,111]       [,112]       [,113]       [,114]       [,115]
## n1            15           20 3.000000e+00            4            5
## m1            40           30 2.000000e+02          150          120
## t1      19631475     19963656 1.962754e+07     19948964     20380469
## v1  219502047701 164494708883 1.496792e+12 923843230916 789824087172
## v1x 153761576477 164494708883 6.494048e+10 121322235283 128023215865
## l11     18698219     18998377 1.902104e+07     19119978     19528897
## l12     20564731     20928935 2.023405e+07     20777950     21232041
##                1            1 1.000000e+00            1            1
##           [,116]       [,117]       [,118]       [,119]       [,120]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19526815     19943469     19551179     19510570     20319056
## v1  720100848584 293331965743 251939984972 206352083783 186199316949
## v1x 140041889022 127425151521 146585216298 153545284739 186199316949
## l11     18636167     19093889     18639962     18577970     19292067
## l12     20417462     20793050     20462397     20443169     21346046
##                1            1            1            1            1
##           [,121]       [,122]       [,123]       [,124]       [,125]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20061117     19446182     19335018     20013636     20051503
## v1  244056475257 291758328238 299697142601 300365319107 227989396731
## v1x  69025701726 117487828552 148531239782 181926057941 151052214059
## l11     19435826     18630401     18417772     18998499     19126506
## l12     20686408     20261962     20252264     21028772     20976500
##                1            1            1            1            1
##           [,126]       [,127]       [,128]       [,129]       [,130]
## n1            12           15           20 3.000000e+00 4.000000e+00
## m1            50           40           30 2.000000e+02 1.500000e+02
## t1      20691884     19617109     20335616 1.984333e+07 1.976567e+07
## v1  233977594442 210563809772 179544944205 2.118794e+12 1.218627e+12
## v1x 173554875661 176203602910 179544944205 7.579734e+10 9.693096e+10
## l11     19700378     18618066     19327144 1.918808e+07 1.902469e+07
## l12     21683390     20616153     21344087 2.049857e+07 2.050666e+07
##                1            1            1 1.000000e+00 1.000000e+00
##           [,131]       [,132]       [,133]       [,134]       [,135]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      19870983     19544380     20184346     20592156     20217385
## v1  735114040906 966531163495 354537845490 298606360607 215168478356
## v1x 104158493038 145351259994 129692524635 165519394579 161287265380
## l11     19102871     18637006     19327241     19623876     19261563
## l12     20639094     20451754     21041452     21560437     21173207
##                1            1            1            1            1
##           [,136]       [,137]       [,138]       [,139]       [,140]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      20254873     19958881     20120081     20101152     19874166
## v1  185522744831 395924584083 290149335449 281691313954 280022842176
## v1x 185522744831  61975263318 105254800625 123729519120 155514567158
## l11     19229751     19366384     19347937     19263982     18935605
## l12     21279995     20551378     20892224     20938322     20812727
##                1            1            1            1            1
##           [,141]       [,142]       [,143]       [,144]       [,145]
## n1            10           12           15           20 3.000000e+00
## m1            60           50           40           30 2.000000e+02
## t1      20002842     20114358     20574855     20300014 2.038066e+07
## v1  222824501087 257881851853 222500664362 199500554186 1.237572e+12
## v1x 143977961110 174279150297 170827306268 199500554186 5.039071e+10
## l11     19099765     19120786     19591171     19236976 1.984640e+07
## l12     20905920     21107931     21558539     21363053 2.091492e+07
##                1            1            1            1 1.000000e+00
##           [,146]       [,147]       [,148]       [,149]       [,150]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      20250205     19522543     19820461     20209909     21095699
## v1  697526718940 467571894694 365907494958 294400797872 326104088787
## v1x  76388385403 106459136642 134089846304 119465156895 151317731223
## l11     19592410     18745994     18948946     19387293     20169889
## l12     20908000     20299091     20691976     21032526     22021509
##                1            1            1            1            0
##           [,151]       [,152]       [,153]       [,154]       [,155]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20458839     20108298     20025497     19641745     19657024
## v1  236410495093 183280231238 466930408562 525499506394 384706120851
## v1x 157204665102 183280231238 101620285106 109206072650 148291352254
## l11     19515192     19089390     19266802     18855242     18740519
## l12     21402486     21127205     20784191     20428248     20573529
##                1            1            1            1            1
##           [,156]       [,157]       [,158]       [,159]       [,160]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19922254     20676912     20470880     19725054     19945398
## v1  437615094945 277790664376 279613979221 235533386904 199265104845
## v1x 186666042319 153687788442 178897888583 194029556683 199265104845
## l11     18893978     19743879     19464227     18676693     18882987
## l12     20950530     21609944     21477532     20773415     21007809
##                1            1            1            1            1
##           [,161]       [,162]       [,163]       [,164]       [,165]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20010438     19735727     20275454     20014488     20003969
## v1  283806682526 204898906354 228036933261 604889620983 382053004249
## v1x  91299508049 113229838223 160181496328 225286771952 180138747757
## l11     19291302     18934865     19322915     18884836     18993831
## l12     20729575     20536588     21227994     21144141     21014107
##                1            1            1            1            1
##           [,166]       [,167]       [,168]       [,169]       [,170]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20338173     20141808     20839299     20194826     20406603
## v1  333918066794 255769534956 227407301455 216561950002 296736004812
## v1x 215343271212 201080439986 227407301455  71115581435 109638391986
## l11     19233732     19074568     19704343     19560139     19618545
## l12     21442614     21209047     21974256     20829513     21194661
##                1            1            1            1            1
##           [,171]       [,172]       [,173]       [,174]       [,175]
## n1             5 6.000000e+00           10           12           15
## m1           120 1.000000e+02           60           50           40
## t1      19765229 1.996383e+07     20295959     20080711     19487253
## v1  420026330986 1.733318e+12 626143097304 504528483176 335213254608
## v1x 107742682678 2.308464e+11 177363841376 228088822432 210838077824
## l11     18984013 1.882033e+07     19293631     18944055     18394426
## l12     20546444 2.110734e+07     21298286     21217367     20580080
##                1 1.000000e+00            1            1            1
##           [,176]       [,177]       [,178]       [,179]       [,180]
## n1            20            3 4.000000e+00            5            6
## m1            30          200 1.500000e+02          120          100
## t1      20514213     19703566 1.982033e+07     20141012     19535090
## v1  208384971208 842827891552 1.040122e+12 808942663247 756397105728
## v1x 208384971208  90670036528 1.299068e+11 146689305809 153253007636
## l11     19427762     18986913 1.896251e+07     19229471     18603379
## l12     21600664     20420219 2.067814e+07     21052553     20466802
##                1            1 1.000000e+00            1            1
##           [,181]       [,182]       [,183]       [,184]       [,185]
## n1            10           12           15           20 3.000000e+00
## m1            60           50           40           30 2.000000e+02
## t1      20219985     19368051     19823209     20525577 2.005893e+07
## v1  327083966250 404109661194 275660215677 187379794232 1.000404e+12
## v1x 130067042670 182690294532 175659092081 187379794232 5.232952e+10
## l11     19361643     18350784     18825710     19495338 1.951449e+07
## l12     21078328     20385317     20820707     21555817 2.060337e+07
##                1            1            1            1 1.000000e+00
##           [,186]       [,187]       [,188]       [,189]       [,190]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
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##           [,382]       [,383]       [,384]       [,385]       [,386]
## n1            12           15           20            3 4.000000e+00
## m1            50           40           30          200 1.500000e+02
## t1      20486347     19634161     20199477     19702899 2.009958e+07
## v1  388338687263 261228352349 183367357152 329832179219 1.184508e+12
## v1x 181450147684 169244290535 183367357152 100036398731 1.054154e+11
## l11     19472540     18655046     19180327     18950140 1.932685e+07
## l12     21500155     20613277     21218626     20455658 2.087231e+07
##                1            1            1            1 1.000000e+00
##           [,387]       [,388]       [,389]       [,390]       [,391]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      19904031     20057473     20167364     20454048     19534255
## v1  861539968077 709418704239 310695805535 248372878676 188248058076
## v1x 123740439472 133349227975 117298880362 136028801148 138973158836
## l11     19066825     19188368     19352240     19576254     18647013
## l12     20741238     20926578     20982488     21331841     20421498
##                1            1            1            1            1
##           [,392]       [,393]       [,394]       [,395]       [,396]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19713885     19954643     19580411     20199306     19080289
## v1  149773054896 423413999180 285959539255 276923365697 273897996465
## v1x 149773054896  73975884500 110298055529 128593275008 167127475322
## l11     18792812     19307319     18789985     19345840     18107316
## l12     20634957     20601968     20370836     21052772     20053262
##                1            1            1            1            1
##           [,397]       [,398]       [,399]       [,400]       [,401]
## n1            10           12           15           20 3.000000e+00
## m1            60           50           40           30 2.000000e+02
## t1      20215679     20343897     19518229     19636876 1.983877e+07
## v1  278084937749 243836663781 203724211075 193727411982 1.228950e+12
## v1x 149170104302 168225839509 167703685300 193727411982 4.935363e+10
## l11     19296462     19367732     18543580     18589331 1.931004e+07
## l12     21134895     21320062     20492878     20684420 2.036750e+07
##                1            1            1            1 1.000000e+00
##           [,402]       [,403]       [,404]       [,405]       [,406]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      20288413     20218850     19382078     20051723     20120081
## v1  685071449272 473869593576 912026815343 385295325641 298398524240
## v1x  72058511673  96120410635 112365309724 106799461419 131401472942
## l11     19649533     19480971     18584280     19273935     19257346
## l12     20927294     20956728     20179876     20829512     20982815
##                1            1            1            1            1
##           [,407]       [,408]       [,409]       [,410]       [,411]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19813093     19316471     20371376     20162226     19866145
## v1  206361013595 160500159875 211777360414 440878604371 350510562749
## v1x 137959689677 160500159875  77606814183 123956011193 139776116101
## l11     18929091     18362984     19708356     19324291     18976343
## l12     20697094     20269958     21034397     21000162     20755947
##                1            1            1            1            1
##           [,412]       [,413]       [,414]       [,415]       [,416]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19474835     20134681     19581810     20357666     20239764
## v1  288572251257 214300897649 227064719886 203482489914 205186277406
## v1x 151983884535 119341294356 143123309315 165431346371 205186277406
## l11     18546989     19312491     18681417     19389643     19161684
## l12     20402680     20956871     20482203     21325690     21317845
##                1            1            1            1            1
##           [,417]       [,418]       [,419]       [,420]       [,421]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      19845021     20019544     20502844     20750262     20659302
## v1  561062337527 469386771610 388407715174 366244678227 230555838359
## v1x 103902124084 119422732029 111258506989 146304768059 126453025059
## l11     19077856     19197073     19708985     19839917     19812968
## l12     20612187     20842014     21296703     21660608     21505635
##                1            1            1            1            1
##           [,422]       [,423]       [,424]       [,425]       [,426]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20293360     20489982     20199234     19547211     20584248
## v1  207414606356 193818838726 163871379646 378316920063 252556567461
## v1x 150499478247 149965104161 163871379646  69282088938 104427833430
## l11     19370056     19568320     19235786     18920760     19815144
## l12     21216663     21411645     21162683     20173663     21353352
##                1            1            1            1            1
##           [,427]       [,428]       [,429]       [,430]       [,431]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20298461     20468093     19827133     19784083     20101871
## v1  231267491293 361054130553 296849545955 274708854815 197609505532
## v1x 141084038846 161039214820 127031257237 151870783222 148425625004
## l11     19404506     19513006     18978867     18856582     19184951
## l12     21192417     21423179     20675399     20711583     21018791
##                1            1            1            1            1
##           [,432]       [,433]       [,434]       [,435]       [,436]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19396449     19847910     20527800     20256750     19758644
## v1  155002112752 271022759248 301228085777 354947205484 551642856688
## v1x 155002112752  83239310330 123344656488 133433470573 190627809032
## l11     18459436     19161251     19691933     19387370     18719514
## l12     20333462     20534570     21363667     21126129     20797775
##                1            1            1            1            1
##           [,437]       [,438]       [,439]       [,440]       [,441]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20569033     19696333     19817462     20801372     19857087
## v1  258195343143 286661306317 234510718988 196437464161 448970094926
## v1x 156204731277 195968447220 194502838955 196437464161  72140740845
## l11     19628391     18642747     18767823     19746526     19217842
## l12     21509674     20749919     20867101     21856218     20496332
##                1            1            1            1            1
##           [,442]       [,443]       [,444]       [,445]       [,446]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19954470     19620091     20344128     20459412     19541387
## v1  290038338419 237893730912 258881815316 300420722382 489652084665
## v1x 100998794236 115155903455 171794965501 136221763053 164507376915
## l11     19198099     18812447     19357662     19580996     18576071
## l12     20710842     20427735     21330594     21337828     20506703
##                1            1            1            1            1
##           [,447]       [,448]       [,449]       [,450]       [,451]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20313734     19754697     20287183     19904945     20952412
## v1  299422427208 181670418363 826238486312 853573933648 610556223180
## v1x 161228046640 181670418363  59590301553  94066335729 128973215845
## l11     19358087     18740274     19706199     19174993     20097686
## l12     21269380     20769120     20868168     20634897     21807137
##                1            1            1            1            0
##           [,452]       [,453]       [,454]       [,455]       [,456]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19709827     20603702     20313229     20002329     19395367
## v1  444752104970 214633643441 312001264911 259249228542 162892919583
## v1x 144885754047 132729314976 173967730187 159685018075 162892919583
## l11     18803907     19736620     19320545     19051266     18434799
## l12     20615746     21470785     21305914     20953391     20355935
##                1            1            1            1            1
##           [,457]       [,458]       [,459]       [,460]       [,461]
## n1             3 4.000000e+00 5.000000e+00 6.000000e+00           10
## m1           200 1.500000e+02 1.200000e+02 1.000000e+02           60
## t1      19880349 1.979931e+07 2.028652e+07 2.001579e+07     20211346
## v1  491299932814 1.496152e+12 1.308721e+12 1.030355e+12 501657541032
## v1x 107588301889 1.306336e+11 1.770921e+11 2.160274e+11 167890299985
## l11     19099693 1.893910e+07 1.928496e+07 1.890960e+07     19236155
## l12     20661004 2.065952e+07 2.128808e+07 2.112199e+07     21186538
##                1 1.000000e+00 1.000000e+00 1.000000e+00            1
##           [,462]       [,463]       [,464]       [,465]       [,466]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20266197     19917427     19868536     20138543     19981049
## v1  460925739227 323295900163 205387797220 268878393919 422083000301
## v1x 225309969172 210498818711 205387797220  65429700149 107329934997
## l11     19136487     18825479     18789926     19529758     19201331
## l12     21395908     21009374     20947146     20747329     20760766
##                1            1            1            1            1
##           [,467]       [,468]       [,469]       [,470]       [,471]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      19850909     20070418     20185134     19990568     20258241
## v1  321703425458 400455938248 276634996108 484899573216 318068056206
## v1x 130070092772 197220962001 180392179578 229143334137 214206153824
## l11     18992557     19013470     19174286     18851288     19156719
## l12     20709262     21127366     21195982     21129848     21359762
##                1            1            1            1            1
##           [,472]       [,473]       [,474]       [,475]       [,476]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      20495889     20092268     19786186     20309240     20578644
## v1  257248468128 697523609948 385521428019 282151191642 366218730366
## v1x 257248468128  69775798962  85557645349 113411184070 151832723279
## l11     19288761     19463589     19090030     19507738     19651259
## l12     21703017     20720948     20482341     21110743     21506028
##                1            1            1            1            1
##           [,477]       [,478]       [,479]       [,480]       [,481]
## n1            10           12           15           20 9.375000e+00
## m1            60           50           40           30 9.375000e+01
## t1      20462791     20150731     19999444     20523998 2.004648e+07
## v1  200033573596 226777373228 186413906309 175295900191 3.604782e+11
## v1x 127564032830 161257312096 155030182187 175295900191 1.400584e+11
## l11     19612748     19194997     19062346     19527531 1.916661e+07
## l12     21312835     21106464     20936542     21520465 2.092635e+07
##                1            1            1            1 9.895833e-01
##           [,482]
## n1  3.155010e+01
## m1  3.155010e+03
## t1  1.351285e+11
## v1  7.293134e+22
## v1x 1.757767e+21
## l11 1.420052e+11
## l12 1.666955e+11
##     1.032968e-02
##  [1]  500.000 1000.000 2000.000 2500.000 3333.333 5000.000 1000.000 1250.000
##  [9] 1666.667 2500.000 5000.000 5000.000 1666.667 2500.000 3333.333 5000.000
## [17] 5000.000 1666.667 5000.000 1000.000

Las filas n1 es el número de conglomerados muestreados, m1 es el número de unidades muestreadas de cada conglomerado seleccionado, t1 son los totales estimados por expansión elemental y v1 son sus varianzas estimadas; y las dos últimas columnas son la media y las varianzas de las filas.

Este código muestra que el estimador de expansión elemental es insesgado y homogéneo.

La varianza de la etapa elemental es más exacta cuando los conglomerados tienen medias similares. Aquí no es necesario tomar la varianza de las dos etapas. Tambien, importa poco la distribución de las 600 unidades entre las dos etapas, esto es, \(600=n.m\).

El hecho de tener medias similares en los conglomerados reduce la varianza del estimador del total por expansión elemental a una sola etapa y su varianza es calculada con la varianza elemental v1x.

##             [,1]         [,2]         [,3]         [,4]         [,5]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20326458     19759592     20727938     20565337     20280579
## v1  358702945224 397197068570 451083064342 405191795504 251195753654
## v1x  60544526158  76877534896 112400142433 179322941241 138630334676
## l11     18901032     18259631     19129466     19050355     19087737
## l12     21751883     21259553     22326411     22080318     21473422
##                1            1            1            1            1
##             [,6]         [,7]         [,8]         [,9]        [,10]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20163570     20427772     20477439     20605117     20097432
## v1  215376755218 193305657387 203266939618 524084785673 299960470445
## v1x 152628655915 157491546520 203266939618  65491989424  83041628845
## l11     19059043     19381369     19404413     18882147     18793938
## l12     21268097     21474176     21550465     22328088     21400925
##                1            1            1            1            1
##            [,11]        [,12]        [,13]        [,14]        [,15]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      19754881     20017573     19293623     19737160     19615957
## v1  239629006433 374214516797 233650801725 246587651460 202116239040
## v1x 115720938364 131561988443 134418249887 158524084645 166417189973
## l11     18589826     18561654     18143192     18555309     18545973
## l12     20919937     21473492     20444054     20919011     20685942
##                1            1            1            1            1
##            [,16]        [,17]        [,18]        [,19]        [,20]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19549614     20021461     20031528     20077207     19886063
## v1  164403016275 471444053143 330050740729 254671180760 322391054572
## v1x 164403016275  71178735373  87294617672 100609256392 163090761527
## l11     18584604     18387311     18664217     18876141     18534711
## l12     20514624     21655612     21398839     21278273     21237415
##                1            1            1            1            1
##            [,21]        [,22]        [,23]        [,24]        [,25]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19604603     19649763     20293508     19894102     19899386
## v1  196325915139 296971135336 235767983524 170408468075 863325990216
## v1x 144786121792 178936693665 174666728497 170408468075  63025542972
## l11     18550057     18352781     19137876     18911624     17688001
## l12     20659150     20946746     21449139     20876579     22110771
##                1            1            1            1            1
##            [,26]        [,27]        [,28]        [,29]        [,30]
## n1  4.000000e+00            5            6           10           12
## m1  1.500000e+02          120          100           60           50
## t1  1.964523e+07     19999945     19265785     20277295     20493049
## v1  1.017295e+12 645383236209 498497123779 231868598182 261145721169
## v1x 8.165173e+10 116892961008 132451917712 115683852577 192939146882
## l11 1.724474e+07     18087954     17585402     19131260     19276812
## l12 2.204573e+07     21911936     20946168     21423330     21709287
##     1.000000e+00            1            1            1            1
##            [,31]        [,32]        [,33]        [,34]        [,35]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20395357     19432343     19677348     20008232     19669727
## v1  211283845027 183509166523 554488837801 435183744480 421727124610
## v1x 174776439830 183509166523  95649739662 119161440062 131340880343
## l11     19301375     18412799     17905104     18438183     18124142
## l12     21489339     20451886     21449591     21578281     21215311
##                1            1            1            1            1
##            [,36]        [,37]        [,38]        [,39]        [,40]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19347111     19979121     20414236     19836997     19778736
## v1  390076722152 233129453233 222599693697 197205471026 202943445904
## v1x 208791497614 159556961267 181457996185 173242672829 202943445904
## l11     17860655     18829974     19291341     18780090     18706564
## l12     20833567     21128267     21537131     20893903     20850908
##                1            1            1            1            1
##            [,41]        [,42]        [,43]        [,44]        [,45]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20100653     19959408     19529635     19884996     19901132
## v1  260596105548 403654751342 337490021001 403745629394 219532683047
## v1x  57416351940  67623239673  86027088723 131574563364 113147513171
## l11     18885696     18447303     18147000     18372721     18785999
## l12     21315610     21471513     20912269     21397272     21016265
##                1            1            1            1            1
##            [,46]        [,47]        [,48]        [,49]        [,50]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      19996317     20533051     19727052     20079366     20013645
## v1  217143589808 204358673055 164118621502 667629977317 371585446332
## v1x 138341571783 150778378035 164118621502  79288185229  81961491224
## l11     18887269     19457147     18762876     18134701     18562849
## l12     21105366     21608955     20691227     22024031     21464441
##                1            1            1            1            1
##            [,51]        [,52]        [,53]        [,54]        [,55]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20081344     19836743     20349731     20397756     20245557
## v1  291292650334 358098350452 219682706271 227465101833 201267225191
## v1x  98525970724 117697619969 117531530948 140181861953 144082053745
## l11     18796822     18412519     19234218     19262655     19177822
## l12     21365867     21260966     21465245     21532856     21313292
##                1            1            1            1            1
##            [,56]        [,57]        [,58]        [,59]        [,60]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19310563     19522096     20025555     19576517     19955592
## v1  157707766038 187139241220 195374611984 189961703332 206924721682
## v1x 157707766038  95612211180  97574804341 118201494719 149951498215
## l11     18365407     18492518     18973566     18539204     18872954
## l12     20255719     20551674     21077543     20613831     21038230
##                1            1            1            1            1
##            [,61]        [,62]        [,63]        [,64]        [,65]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20376324     20300013     19715150     20420623     19715644
## v1  166168821363 176532482279 170086167130 171541743713 415305214151
## v1x 130349418404 147971370934 157039686949 171541743713  61338201898
## l11     19406146     19300038     18733603     19434885     18181872
## l12     21346503     21299989     20696698     21406362     21249415
##                1            1            1            1            1
##            [,66]        [,67]        [,68]        [,69]        [,70]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      20590042     19971060     19794824     19680837     20756164
## v1  253602909298 206637033621 208182857047 214317139650 214154736821
## v1x  76147619657 101304303945 142267514296 124890929498 159509404378
## l11     19391498     18889175     18708900     18579030     19654775
## l12     21788587     21052945     20880748     20782644     21857553
##                1            1            1            1            1
##            [,71]        [,72]        [,73]        [,74]        [,75]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19499770     19533571     19574465     20010240     20192906
## v1  212875339628 173368550573 259462122944 873670295127 573800445151
## v1x 175247837241 173368550573  56417479806  85119810130 109761885130
## l11     18401676     18542597     18362154     17785646     18390065
## l12     20597865     20524544     20786776     22234834     21995747
##                1            1            1            1            1
##            [,76]        [,77]        [,78]        [,79]        [,80]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20526973     19547665     20020376     19855245     20439744
## v1  786566245927 328100531000 307849245972 262967150581 200478908770
## v1x 164795216626 148671646288 186955384010 190000313001 200478908770
## l11     18416185     18184399     18699853     18634773     19374102
## l12     22637761     20910930     21340899     21075717     21505386
##                1            1            1            1            1
##            [,81]        [,82]        [,83]        [,84]        [,85]
## n1             3            4            5            6           10
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## n1             3            4            5 6.000000e+00           10
## m1           200          150          120 1.000000e+02           60
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##                1            1            1 1.000000e+00            1
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## m1            40           30          200          150          120
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## n1            20            3            4            5            6
## m1            30          200          150          120          100
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## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      19833490     20005499     20098245     19592443     19463706
## v1  110591467010 123101915861 146749234933 264031181298 191527583519
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## m1            50           40           30          200          150
## t1      19802299     20640492     20503392     20171561     19900169
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## v1x 155970074372 162366811243 176838591477  86082452176 120604763094
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## m1           120          100           60           50           40
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## m1            30          200          150          120          100
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## m1            60           50           40           30          200
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## m1           150          120          100           60           50
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## m1            40           30          200          150          120
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## n1  3.000000e+00            4            5            6           10
## m1  2.000000e+02          150          120          100           60
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## m1            60           50           40           30          200
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## t1      20150176     20631209 1.991596e+07     20194436     20188680
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## t1      20100768     20522069     19843726     20230900     19479992
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## t1      20066693     20178788     20559675     19855014     20697823
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## t1      20251323     19892723     20052698     20335166     20298037
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## m1           120          100           60           50           40
## t1      20546430     20212609     20293460     20139225     19677130
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## t1      20286089     19980986     19774627     20343287     20020056
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## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19676656     20433034     19683682     20249869     19552679
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## m1           120          100           60           50           40
## t1      20407244     20113101     19616340     20139572     20062834
## v1  330298343389 328076790931 240502637837 258848894890 228506537053
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## n1            20           3            4            5            6
## m1            30         200          150          120          100
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## m1            60           50           40           30          200
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##                1            1 1.000000e+00            1            1
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## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20156382     19510092     20825784     19808716     20004262
## v1  570824907156 294414768291 262637358901 206911132713 183109197861
## v1x 166942628164 163752743472 183158185724 172552054151 183109197861
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## n1             3            4            5            6           10
## m1           200          150          120          100           60
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## v1  330146865013 284487414249 209356763027 372838502303 256691362394
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## m1           120          100           60           50           40
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## l12     21303556     20808146     21274353     20945427     20926233
##                1            1            1            1            1
##           [,466]       [,467]       [,468]       [,469]       [,470]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      20334429     19873021     20671786     20102355     20561111
## v1  133620331309 294020155706 401147201392 258928709204 301329633493
## v1x  95270682801 120826334046 227298853398 178415116250 212371629964
## l11     19464441     18582499     19164385     18891291     19254646
## l12     21204417     21163543     22179187     21313419     21867576
##                1            1            1            1            1
##           [,471]       [,472]       [,473]       [,474]       [,475]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19855768     20161655     19932143     19947236     20712332
## v1  259416393505 204924020898 271061206090 270150715862 233521664348
## v1x 202606320464 204924020898 104143046155 141199344300 159237313658
## l11     18643564     19084264     18693031     18710207     19562219
## l12     21067972     21239046     21171256     21184266     21862445
##                1            1            1            1            1
##           [,476]       [,477]       [,478]       [,479]       [,480]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19896626     20123435     20217552     20549875     20267660
## v1  249990530670 234153191133 252715102152 226186777224 191224769542
## v1x 174484960262 140618424323 167597021787 176218908370 191224769542
## l11     18706648     18971768     19021107     19417969     19226904
## l12     21086603     21275102     21413996     21681782     21308416
##                1            1            1            1            1
##           [,481]       [,482]
## n1  9.375000e+00 3.155010e+01
## m1  9.375000e+01 3.155010e+03
## t1  2.005793e+07 1.238144e+11
## v1  3.400826e+11 4.585294e+22
## v1x 1.381464e+11 1.690222e+21
## l11 1.872253e+07 2.484765e+11
## l12 2.139333e+07 2.858897e+11
##     9.958333e-01 4.157968e-03

Este último es robusto en la varianza y utiliza intervalo de holgura.

##             [,1]         [,2]         [,3]         [,4]         [,5]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20147815     20349580     20169070     20646890     20691247
## v1  818334327481 551495576264 356973938732 297502322538 214455019992
## v1x  71782438582  87812436862  96079445501 134954138356 133616593223
## l11     18374763     18894030     18998023     19577832     19783584
## l12     21920867     21805130     21340117     21715948     21598909
##                1            1            1            1            1
##             [,6]         [,7]         [,8]         [,9]        [,10]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20419583     19438833     19232877     20021852     19938644
## v1  207872537998 186725650013 160835256418 137061358436 160748037661
## v1x 158762745329 157791563187 160835256418  58220676173  75459280808
## l11     19525960     18591883     18446834     19296224     19152813
## l12     21313207     20285784     20018921     20747479     20724475
##                1            1            1            1            1
##            [,11]        [,12]        [,13]        [,14]        [,15]
## n1  5.000000e+00 6.000000e+00           10           12           15
## m1  1.200000e+02 1.000000e+02           60           50           40
## t1  2.056165e+07 1.970810e+07     19805694     20164721     20496685
## v1  1.496279e+12 1.003468e+12 347397683028 299194234505 230441538546
## v1x 1.274721e+11 1.487017e+11 128497185249 169889156283 165233006234
## l11 1.816413e+07 1.774470e+07     18650461     19092628     19555800
## l12 2.295917e+07 2.167149e+07     20960926     21236815     21437569
##     1.000000e+00 1.000000e+00            1            1            1
##            [,16]        [,17]        [,18]        [,19]        [,20]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      20055608     20662043     20805977     19677914     20031073
## v1  168398640381 424828198313 429161967908 871926761063 857048596978
## v1x 168398640381 114107622192 124187666962 120586735304 144220921996
## l11     19251294     19384538     19521972     17847724     18216566
## l12     20859921     21939549     22089982     21508104     21845581
##                1            1            1            1            1
##            [,21]        [,22]        [,23]        [,24]        [,25]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20299859     19719558     20352616     19811359     20175163
## v1  380235234252 342275066970 238645868977 193565792835 477778328657
## v1x 126677184758 143577359680 151551101199 193565792835  90754330355
## l11     19091260     18572874     19395129     18949035     18820381
## l12     21508458     20866242     21310103     20673683     21529944
##                1            1            1            1            1
##            [,26]        [,27]        [,28]        [,29]        [,30]
## n1  4.000000e+00            5            6           10           12
## m1  1.500000e+02          120          100           60           50
## t1  2.007819e+07     19709305     20503141     20410428     20303738
## v1  1.273940e+12 991613452400 739445483009 332222747625 380229415553
## v1x 1.417331e+11 158381454315 181156389298 151468837502 181524241672
## l11 1.786596e+07     17757541     18817717     19280708     19095148
## l12 2.229042e+07     21661069     22188565     21540148     21512328
##     1.000000e+00            1            1            1            1
##            [,31]        [,32]        [,33]        [,34]        [,35]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20195010     19668565     20655908     20079312     20162710
## v1  259738615771 184418014328 460294893698 328471600476 347690961499
## v1x 176662733682 184418014328  81651330429 148034351827 165546677055
## l11     19196105     18826864     19326145     18955988     19006990
## l12     21193915     20510266     21985671     21202636     21318430
##                1            1            1            1            1
##            [,36]        [,37]        [,38]        [,39]        [,40]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20027262     19432990     20069323     19787352     19425147
## v1  692003535892 278762548021 339732916836 238510483783 198068956218
## v1x 167919518258 140390317716 194972531908 177957327480 198068956218
## l11     18396801     18398150     18926906     18830136     18552850
## l12     21657722     20467830     21211741     20744567     20297444
##                1            1            1            1            1
##            [,41]        [,42]        [,43]        [,44]        [,45]
## n1  3.000000e+00 4.000000e+00            5            6           10
## m1  2.000000e+02 1.500000e+02          120          100           60
## t1  1.987248e+07 2.015852e+07     20372673     19586446     20704027
## v1  1.895024e+12 1.388627e+12 884264543795 642082414938 277830061264
## v1x 7.324971e+10 8.903126e+10 119088640389 158568039138 137546747194
## l11 1.717435e+07 1.784885e+07     18529580     18015898     19670919
## l12 2.257061e+07 2.246818e+07     22215766     21156995     21737135
##     1.000000e+00 1.000000e+00            1            1            1
##            [,46]        [,47]        [,48]        [,49]        [,50]
## n1            12           15           20 3.000000e+00 4.000000e+00
## m1            50           40           30 2.000000e+02 1.500000e+02
## t1      20065207     19638244     19618454 2.007491e+07 2.010490e+07
## v1  267289195642 202502415289 180743165962 2.094759e+12 1.136023e+12
## v1x 146755091920 151637421193 180743165962 5.903862e+10 7.745212e+10
## l11     19051887     18756239     18785182 1.723814e+07 1.801585e+07
## l12     21078528     20520249     20451727 2.291167e+07 2.219396e+07
##                1            1            1 1.000000e+00 1.000000e+00
##            [,51]        [,52]        [,53]        [,54]        [,55]
## n1             5 6.000000e+00           10           12           15
## m1           120 1.000000e+02           60           50           40
## t1      19763365 2.029592e+07     19948477     19566290     20363125
## v1  703402430216 1.009702e+12 442641155179 337699219323 230991654551
## v1x 104777502238 1.119642e+11 124587861122 143743442762 142036165412
## l11     18119531 1.832643e+07     18644464     18427297     19421118
## l12     21407199 2.226540e+07     21252490     20705284     21305133
##                1 1.000000e+00            1            1            1
##            [,56]        [,57]        [,58]        [,59]        [,60]
## n1            20 3.000000e+00 4.000000e+00 5.000000e+00 6.000000e+00
## m1            30 2.000000e+02 1.500000e+02 1.200000e+02 1.000000e+02
## t1      19687276 2.035923e+07 1.991213e+07 1.959231e+07 1.974886e+07
## v1  168458199308 1.125120e+12 1.147593e+12 1.223993e+12 1.050360e+12
## v1x 168458199308 7.227211e+10 1.115788e+11 1.203761e+11 1.803197e+11
## l11     18882820 1.828022e+07 1.781247e+07 1.742388e+07 1.774011e+07
## l12     20491731 2.243823e+07 2.201180e+07 2.176074e+07 2.175760e+07
##                1 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00
##            [,61]        [,62]        [,63]        [,64]        [,65]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19748362     19549257     20476767     20645612     19955919
## v1  395902411000 329019514706 233905434208 191978821475 216155213927
## v1x 141440826921 159365109846 158763289307 191978821475  95699563287
## l11     18515114     18424997     19528838     19786830     19044666
## l12     20981609     20673518     21424697     21504393     20867172
##                1            1            1            1            1
##            [,66]        [,67]        [,68]        [,69]        [,70]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19708562     19703714     20062755     19754850     19330032
## v1  271106080731 948075188749 662439454117 328751444986 305186664619
## v1x 102688226679 165141871901 174263331306 149764962653 160699453383
## l11     18688032     17795278     18467504     18631048     18247255
## l12     20729092     21612149     21658007     20878652     20412808
##                1            1            1            1            1
##            [,71]        [,72]        [,73]        [,74]        [,75]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20278180     19305402     20139144     19736066     20477364
## v1  222473192409 170886056245 425238930178 439413110933 306364631254
## v1x 162547884925 170886056245  85488086263  99528917504 113250408802
## l11     19353705     18495170     18861021     18436817     19392500
## l12     21202654     20115634     21417267     21035316     21562228
##                1            1            1            1            1
##            [,76]        [,77]        [,78]        [,79]        [,80]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19627459     20255806     20403969     19504861     19463798
## v1  392091355250 186932084464 293475411307 228771974402 164410213909
## v1x 116127398473 115275333695 137244934703 144819756608 164410213909
## l11     18400162     19408387     19342171     18567391     18669066
## l12     20854756     21103224     21465767     20442332     20258529
##                1            1            1            1            1
##            [,81]        [,82]        [,83]        [,84]        [,85]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20266060     20008543     20403652     19653871     19847925
## v1  565651014687 989351589984 761493067008 713004206206 301943803823
## v1x  87116534595 127080333931 119582446536 152392275649 136795438431
## l11     18791949     18059007     18693286     17998855     18770917
## l12     21740172     21958080     22114018     21308887     20924934
##                1            1            1            1            1
##            [,86]        [,87]        [,88]        [,89]        [,90]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20583774     20012935     19788030     20578103     19960091
## v1  280232746514 228237908752 179688213335 327834815711 241612256168
## v1x 163431229201 173422855139 179688213335  62607187851 109116510985
## l11     19546208     19076560     18957193     19455869     18996672
## l12     21621339     20949311     20618867     21700338     20923511
##                1            1            1            1            1
##            [,91]        [,92]        [,93]        [,94]        [,95]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20260789     19911145     19961751     19288265     19792910
## v1  210844335628 254153549579 193481646975 201525039902 188394886225
## v1x 119340231577 170743356236 142615088132 173758629514 164915680597
## l11     19360801     18923038     19099615     18408390     18942182
## l12     21160778     20899252     20823887     20168139     20643638
##                1            1            1            1            1
##            [,96]        [,97]        [,98]        [,99]       [,100]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      20168688     20438245     19971375     20743173     20286850
## v1  193291668510 898928272678 587231873203 412738195904 345628741253
## v1x 193291668510 123325338009 141150348028 154140295038 183968155348
## l11     19306975     18579933     18469406     19483977     19134562
## l12     21030401     22296557     21473344     22002369     21439138
##                1            1            1            1            1
##           [,101]       [,102]       [,103]       [,104]       [,105]
## n1            10           12           15           20 3.000000e+00
## m1            60           50           40           30 2.000000e+02
## t1      20060121     19819409     19175205     19771552 2.008170e+07
## v1  234541844795 266594159483 246486927425 190388681721 2.600273e+12
## v1x 158978805253 204636782944 194614071183 190388681721 1.092887e+11
## l11     19110902     18807407     18202115     18916335 1.692113e+07
## l12     21009339     20831411     20148295     20626770 2.324227e+07
##                1            1            1            1 1.000000e+00
##           [,106]       [,107]       [,108]       [,109]       [,110]
## n1  4.000000e+00 5.000000e+00            6           10           12
## m1  1.500000e+02 1.200000e+02          100           60           50
## t1  2.026077e+07 2.017945e+07     19907120     19928202     20931747
## v1  2.039961e+12 1.222711e+12 854859329567 319064378688 320519483296
## v1x 1.011607e+11 1.174971e+11 154597390382 127394677958 160557939899
## l11 1.746136e+07 1.801215e+07     18094932     18821081     19822104
## l12 2.306018e+07 2.234674e+07     21719309     21035323     22041390
##     1.000000e+00 1.000000e+00            1            1            1
##           [,111]       [,112]      [,113]       [,114]       [,115]
## n1            15           20           3            4            5
## m1            40           30         200          150          120
## t1      19706132     19604564    20175093     20077962     19974057
## v1  221635553023 170232401574 92943805581 141722503819 134693555474
## v1x 145969003360 170232401574 70625816958  88716023436  95805800240
## l11     18783399     18795883    19577554     19340099     19254725
## l12     20628864     20413245    20772632     20815825     20693389
##                1            1           1            1            1
##           [,116]       [,117]       [,118]       [,119]       [,120]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19385140     20285770     19571166     20413450     20404940
## v1  172585146098 200101083949 231146166792 211187129835 181937189435
## v1x 136444462099 131304823036 165027195840 168483871113 181937189435
## l11     18570890     19409010     18628843     19512730     19568919
## l12     20199390     21162531     20513488     21314170     21240960
##                1            1            1            1            1
##           [,121]       [,122]       [,123]       [,124]       [,125]
## n1  3.000000e+00 4.000000e+00            5            6           10
## m1  2.000000e+02 1.500000e+02          120          100           60
## t1  1.985728e+07 2.023951e+07     20183283     19996170     20079530
## v1  1.426938e+12 1.054281e+12 694735088462 500128717983 254482515695
## v1x 9.150776e+10 1.028171e+11 106457128853 129587818472 127447262314
## l11 1.751597e+07 1.822701e+07     18549608     18610062     19090783
## l12 2.219859e+07 2.225200e+07     21816958     21382277     21068277
##     1.000000e+00 1.000000e+00            1            1            1
##           [,126]       [,127]       [,128]       [,129]       [,130]
## n1            12           15           20            3 4.000000e+00
## m1            50           40           30          200 1.500000e+02
## t1      20206875     19912299     19685585     20438253 2.014014e+07
## v1  246323657684 209682107227 188675415893 692350536648 1.059965e+12
## v1x 164500882164 162729257595 188675415893 107184480336 1.070728e+11
## l11     19234107     19014794     18834224     18807384 1.812223e+07
## l12     21179643     20809803     20536946     22069122 2.215805e+07
##                1            1            1            1 1.000000e+00
##           [,131]       [,132]       [,133]       [,134]       [,135]
## n1  5.000000e+00            6           10           12           15
## m1  1.200000e+02          100           60           50           40
## t1  2.020936e+07     19926474     20195229     20548372     19811010
## v1  1.075736e+12 795930441357 321671934633 282660398294 202958640255
## v1x 1.502263e+11 154335046392 128043160375 145270501348 138544757844
## l11 1.817650e+07     18177861     19083593     19506322     18928012
## l12 2.224223e+07     21675086     21306865     21590422     20694008
##     1.000000e+00            1            1            1            1
##           [,136]       [,137]       [,138]       [,139]       [,140]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19793026     20229086     20002188     19656252     20573780
## v1  166190843736 812449275873 420839043278 525559022994 467908409829
## v1x 166190843736  70476933235  69487802677 156202370770 180801399174
## l11     18994003     18462421     18730694     18235341     19233065
## l12     20592050     21995751     21273681     21077163     21914495
##                1            1            1            1            1
##           [,141]       [,142]       [,143]       [,144]       [,145]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20362503     20053802     21231211     19825518     19991502
## v1  324096900731 304327862554 223819156941 189168213119 245083282102
## v1x 156289730487 190407703193 175853414947 189168213119  90315672268
## l11     19246685     18972550     20303944     18973046     19021187
## l12     21478321     21135054     22158477     20677990     20961818
##                1            1            0            1            1
##           [,146]       [,147]       [,148]       [,149]       [,150]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      20175179     20380850     20002854     19785726     20342613
## v1  215670868398 238191642434 584310541303 304508884480 285659971538
## v1x 114240384687 157299762355 218934203784 176151616580 208059476678
## l11     19264948     19424274     18504626     18704153     19295048
## l12     21085411     21337426     21501082     20867300     21390177
##                1            1            1            1            1
##           [,151]       [,152]       [,153]       [,154]       [,155]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19619728     20547305     20246214     19293534     20467975
## v1  227012666488 213728961612 133483624290 127116122293 263797485453
## v1x 193031702658 213728961612  82171320472  92817557194 105795684679
## l11     18685870     19641180     19530120     18594729     19461296
## l12     20553587     21453429     20962308     19992340     21474655
##                1            1            1            1            1
##           [,156]       [,157]       [,158]       [,159]       [,160]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20072851     19698822     19744749     20009441     20678102
## v1  290975902070 231117836674 261281332202 290681508241 196242339222
## v1x 187834217991 150486615543 192317139327 196854110499 196242339222
## l11     19015584     18756558     18742881     18952709     19809837
## l12     21130118     20641086     20746616     21066173     21546367
##                1            1            1            1            1
##           [,161]       [,162]       [,163]       [,164]       [,165]
## n1             3            4 5.000000e+00            6           10
## m1           200          150 1.200000e+02          100           60
## t1      20599344     20090112 2.004873e+07     19966027     20425843
## v1  517965891299 324207285777 1.066058e+12 911381687040 357007306395
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## l12     22009953     21206120 2.207244e+07     21837167     21596945
##                1            1 1.000000e+00            1            1
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## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      19997583     19857332     20366838     19556239     20287598
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## m1           120          100           60           50           40
## t1      19361978     19865535     20069690     20038055     20383791
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## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      20187729     20063304     20157831     19629650     20219098
## v1  187654693577 292570933875 251892469250 362563182059 462920395433
## v1x 187654693577 110262142490 125108153710 125984260034 149069958908
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## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19776333     21207352     19983505     20125599     20085928
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## v1x 129168492419 137579751556 142175167017 179338786762  72024136592
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## m1            40           30          200          150          120
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## l12     21231653     20542589     20174441     21103052     20853242
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## t1      19273654     19954122     19990846     20181209     20702679
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## v1x 159988213203 139322044940 182436205250 179754186710 223353176095
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## m1           200          150          120          100           60
## t1      19474561     20153950     20086848     20628555     19674781
## v1  159489956470 133457455014 183876942060 231972584514 220249236661
## v1x 108349988538 106306378562 157053870186 214916214517 176201001058
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## m1            50           40           30          200          150
## t1      20553351     20187959     20441306     19931237     19692673
## v1  356551190493 253619605857 219182219628 188245879239 183974906279
## v1x 178043125111 181506491181 219182219628 117668204380 147257166469
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## m1           120          100           60           50           40
## t1      20439315     19627751     20077602     19529564     19868996
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## m1            30          200          150          120          100
## t1      20505105     19919640     20077937     19789384     19836408
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## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19372573     19848542     19764083     19998186     20332515
## v1  286488506888 287555672990 201649032421 168414900622 290099160058
## v1x 108011725400 157060166439 149010594823 168414900622  52440416251
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## m1           150          120          100           60           50
## t1      19640342     20558025     19724971     20519405     20333453
## v1  277268326270 238694673948 355958073917 244723831239 245174896216
## v1x  86157084032 122361155703 188710956086 157038508144 176674902136
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##                1            1            1            1            1
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## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20511892     19727804     19843716     20084483     19523006
## v1  199117827798 188455231894 587701347363 552704687692 375320902641
## v1x 168694133888 188455231894  92276604642 107962989769 118921891324
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## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19331828     19608630     19236472     21122176     19989278
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## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      19678021     20045503     19769246     20214588     20542594
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## m1            50           40           30          200          150
## t1      19580701     20229565     19777304     19732434     20148718
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## v1x 168303442477 156823900075 180359754505 107013148937 120569663132
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## m1           120          100           60           50           40
## t1      19558401     19861487     19382699     20474657     19664335
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##                1            1            1            1            1
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## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19818742     19967328     20140569     20464361     20087073
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## v1x 189894492206  74400890826  85542263969  98438160325 152217110558
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## l12     20672849     21410963     21229419     21662352     21204837
##                1            1            1            1            1
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## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19872834     19914110     19642158     19838818     20307318
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## v1x 140850517197 163377831536 164054716145 184888594361  72411027289
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## m1           150          120          100           60           50
## t1      19763715     20183180     20250162     19834702     20480803
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## v1x 108441966050 197465238626 205927604697 168277461268 196051468188
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## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20147873     19662108     20213284     19492450     20220319
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## t1      19163660     20254296     20178967     19865599     19908132
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## v1x 157607521352 132215875596 154675599889 149083325982 171708592647
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## m1           200          150          120          100           60
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## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20486017     19302805     19160010     19458925     20096338
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## v1x 136463184990 142108337589 143987697368  88136810516 129508190953
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## m1           120          100           60           50           40
## t1      20035929     19506867     20632235     19774653     19981169
## v1  669055470610 790579246265 347576987565 296319377323 225617172746
## v1x 135493535586 149746870769 139231923703 168359902332 157439421520
## l11     18432731     17764142     19476704     18707722     19050185
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##                1            1            1            1            1
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## m1            30          200          150          120          100
## t1      20393180     20572681     20467389     20081066     19429283
## v1  178086505832 469087487218 341034778904 377375453848 295128865471
## v1x 178086505832  63420552171  66517983881 102750819049 123633137618
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##                1            1            1            1            1
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## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19982504     20154547     19941076     19727856     20199036
## v1  246311554321 273812976817 207105707507 190773894312 153625895483
## v1x 119248586584 156071207854 158972788741 190773894312 133190197662
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##                1            1            1            1            1
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## m1           150          120          100           60           50
## t1      20230823     20143792     20993367     20394106     20804130
## v1  332328116346 289325387911 259277978138 291941116025 274154288433
## v1x 130380410244 146420402373 169509420777 160351452506 200422593430
## l11     19100924     19089528     19995347     19335087     19777879
## l12     21360722     21198056     21991386     21453125     21830381
##                1            1            0            1            1
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## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      20297548     20827414     20166074     20397408     20023732
## v1  254440522394 218712211422 314026187601 200783809360 223272748141
## v1x 194896207863 218712211422  56342368620  63224996526  93939626437
## l11     19308883     19910787     19067729     19519153     19097597
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##                1            1            1            1            1
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## m1           100           60           50           40           30
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## v1x 175601455165 148877805333 183255366635 197424511680 221406780062
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## n1            20 3.000000e+00            4            5            6
## m1            30 2.000000e+02          150          120          100
## t1      20016605 2.054015e+07     20004728     19956580     20177259
## v1  184622455190 1.119611e+12 758882577570 531186342881 438313774501
## v1x 184622455190 5.941530e+10  58852371285  75383111487 100657155061
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##                1 1.000000e+00            1            1            1
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## t1      19984552     19459195     20363773     20063735     19701618
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## v1  300684847025 263662033533 396289578314 216268666357 288056616096
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##                1            1            1            1            1
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## n1            15           20 3.000000e+00 4.000000e+00 5.000000e+00
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## v1x 198720356414 225329326764 9.942923e+10 9.750499e+10 1.151275e+11
## l11     19126577     19303669 1.732372e+07 1.736991e+07 1.742676e+07
## l12     21032864     21164449 2.252668e+07 2.389529e+07 2.245316e+07
##                1            1 1.000000e+00 1.000000e+00 1.000000e+00
##           [,356]       [,357]       [,358]       [,359]       [,360]
## n1  6.000000e+00           10           12           15           20
## m1  1.000000e+02           60           50           40           30
## t1  1.986202e+07     19785655     19473931     20262136     19477573
## v1  1.306631e+12 427065028182 346987127611 252040502283 161866189224
## v1x 1.257609e+11 116645168940 127410135668 136048057221 161866189224
## l11 1.762159e+07     18504791     18319381     19278145     18689014
## l12 2.210246e+07     21066520     20628481     21246127     20266132
##     1.000000e+00            1            1            1            1
##           [,361]       [,362]       [,363]       [,364]       [,365]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20262151     20034691     20051614     19614220     19833539
## v1  194163465289 184251028738 185852752773 286309276463 203851650471
## v1x  61868908427  83572692759 108158728699 127815195443 113194134124
## l11     19398497     19193371     19206646     18565466     18948601
## l12     21125805     20876011     20896583     20662974     20718478
##                1            1            1            1            1
##           [,366]       [,367]       [,368]       [,369]       [,370]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20070204     19570001     20392047     20129843     20179321
## v1  250789769231 211486633939 167963129450 295903916556 229087908355
## v1x 150225348031 146505225972 167963129450  92265091539 124490379893
## l11     19088657     18668642     19588774     19063661     19241203
## l12     21051751     20471359     21195319     21196025     21117438
##                1            1            1            1            1
##           [,371]       [,372]       [,373]       [,374]       [,375]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20382332     20985137     19700393     19841614     19529658
## v1  523767067474 495098678159 299353236368 297581338131 251047082889
## v1x 128975598733 152980098673 155082810252 179534955636 169531985777
## l11     18963845     19606017     18628014     18772414     18547608
## l12     21800818     22364256     20772771     20910814     20511708
##                1            1            1            1            1
##           [,376]       [,377]       [,378]       [,379]       [,380]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19842399     20197688     19987052     19942434     20114835
## v1  173319150333 224190703497 191264252627 286330696267 263182848297
## v1x 173319150333  83287274549 103806571233 111729931441 135021845496
## l11     19026419     19269652     19129870     18893641     19109328
## l12     20658379     21125724     20844234     20991228     21120341
##                1            1            1            1            1
##           [,381]       [,382]       [,383]       [,384]       [,385]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20631797     19885201     19617469     19934341     19872638
## v1  171924541069 221798575618 184155680557 176741712609 273406766574
## v1x 111962334133 156801138002 157333925287 176741712609  63091487352
## l11     19819106     18962129     18776367     19110344     18847787
## l12     21444487     20808273     20458571     20758338     20897489
##                1            1            1            1            1
##           [,386]       [,387]       [,388]       [,389]       [,390]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19685670     20747803     19944793     20287732     20246185
## v1  188642706323 887168855476 836153876108 312806878963 372585947665
## v1x  87612132569 124289543679 150742938877 138195828578 182456311492
## l11     18834383     18901686     18152540     19191521     19049804
## l12     20536957     22593920     21737045     21383944     21442565
##                1            1            1            1            1
##           [,391]       [,392]      [,393]       [,394]       [,395]
## n1            15           20           3            4            5
## m1            40           30         200          150          120
## t1      20323895     20036523    20538588     19558840     19127670
## v1  269979872380 183557575520 74247363369 319137432690 288376501754
## v1x 170611786529 183557575520 65564392182  87392868200 118939834390
## l11     19305488     19196789    20004520     18451592     18075136
## l12     21342303     20876258    21072656     20666088     20180204
##                1            1           0            1            1
##           [,396]       [,397]       [,398]       [,399]       [,400]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19828356     20297998     19928433     20559179     20701878
## v1  335295117283 400449113896 324034355174 240686246885 211186067303
## v1x 125307392389 114038485005 153450128034 165446630532 211186067303
## l11     18693424     19057690     18812722     19597608     19801160
## l12     20963287     21538307     21044144     21520751     21602596
##                1            1            1            1            1
##           [,401]       [,402]       [,403]       [,404]       [,405]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      19751575     19932030     20096262     20319908     19496061
## v1  526170653881 498596485699 485037078521 421710294086 225230152514
## v1x  80961292470  89384191012 120436798631 161528612612 134596028478
## l11     18329838     18548047     18731227     19047099     18565876
## l12     21173313     21316013     21461296     21592717     20426246
##                1            1            1            1            1
##           [,406]       [,407]       [,408]      [,409]       [,410]
## n1            12           15           20           3            4
## m1            50           40           30         200          150
## t1      20144745     19801444     20020731    20117983     19702342
## v1  225284997878 188661883956 191656339713 73216919074 147513468420
## v1x 161113592577 161080136352 191656339713 59259113500  85080952643
## l11     19214446     18950113     19162670    19587634     18949556
## l12     21075043     20652774     20878791    20648332     20455129
##                1            1            1           1            1
##           [,411]       [,412]       [,413]       [,414]       [,415]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20457262     19445414     20158583     20122493     19414453
## v1  264084595578 609059039529 253883544704 232448183959 191393923093
## v1x 124064223867 128291035996 125929461968 150535753188 154245844960
## l11     19450034     17915786     19171000     19177521     18556981
## l12     21464489     20975042     21146165     21067466     20271925
##                1            1            1            1            1
##           [,416]       [,417]       [,418]       [,419]       [,420]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19799228     20175003     19690360     20969365     20318824
## v1  183280644513 198565747719 268033721600 231138669147 599447646728
## v1x 183280644513  88941553831 108677061596 123121780754 147612247044
## l11     18960127     19301613     18675629     20027059     18801314
## l12     20638329     21048394     20705090     21911672     21836335
##                1            1            1            0            1
##           [,421]       [,422]       [,423]       [,424]       [,425]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20468487     19702178     20289680     20285575     20195673
## v1  299134841894 388502152799 260262234798 181961912409 651429592700
## v1x 120897240140 177942448903 173413478452 181961912409 119624040809
## l11     19396500     18480511     19289769     19449497     18613734
## l12     21540474     20923845     21289592     21121652     21777612
##                1            1            1            1            1
##           [,426]       [,427]       [,428]       [,429]       [,430]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19932961     19617534     20089949     19839555     19677909
## v1  425352515101 486141495618 421740218397 220302075542 220254054098
## v1x 118884469910 137289145784 148582645467 132266490396 163067079723
## l11     18654667     18250947     18817095     18919603     18758056
## l12     21211254     20984121     21362803     20759508     20597761
##                1            1            1            1            1
##           [,431]       [,432]       [,433]       [,434]       [,435]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19239218     18625321     20442247     20443308     19851717
## v1  186359428757 158210598053 120474111993 236553687506 207993834577
## v1x 156671130443 158210598053  92870885541 119831796515 134682113371
## l11     18393098     17845717     19761943     19490027     18957832
## l12     20085338     19404924     21122551     21396589     20745601
##                1            0            1            1            1
##           [,436]       [,437]       [,438]       [,439]       [,440]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20591083     19443609     20292860     20473049     20293859
## v1  421978506743 270934690466 272042919196 225585110256 201526950721
## v1x 199738837204 170304164159 204312690779 195488439945 201526950721
## l11     19317870     18423401     19270568     19542131     19413981
## l12     21864297     20463816     21315152     21403966     21173738
##                1            1            1            1            1
##           [,441]       [,442]       [,443]       [,444]       [,445]
## n1             3            4            5 6.000000e+00           10
## m1           200          150          120 1.000000e+02           60
## t1      20342871     20078819     19946171 2.007080e+07     19836733
## v1  174300395397 148291356290 158800812263 1.063161e+12 341900448163
## v1x  98898054696 108367808541 117715338843 1.283137e+11 114533758556
## l11     19524585     19324050     19165114 1.804985e+07     18690676
## l12     21161158     20833587     20727227 2.209175e+07     20982789
##                1            1            1 1.000000e+00            1
##           [,446]       [,447]       [,448]       [,449]       [,450]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      19879890     19889342     19919014     20139479     19877756
## v1  315792838586 223997371018 173027582885 486672402576 669441493207
## v1x 156350998825 157776543855 173027582885  85545603540 129410466319
## l11     18778459     18961706     19103721     18772146     18274096
## l12     20981321     20816977     20734307     21506812     21481416
##                1            1            1            1            1
##           [,451]       [,452]       [,453]       [,454]       [,455]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      19576705     20451045     19776591     19426524     19290350
## v1  505348867310 438770274109 277134196246 245382269861 211684259031
## v1x 151192894164 205378138153 164742530132 181039583256 181719874598
## l11     18183382     19152746     18744778     18455617     18388571
## l12     20970028     21749344     20808404     20397431     20192130
##                1            1            1            1            1
##           [,456]       [,457]       [,458]       [,459]       [,460]
## n1            20 3.000000e+00 4.000000e+00 5.000000e+00            6
## m1            30 2.000000e+02 1.500000e+02 1.200000e+02          100
## t1      20650689 2.015921e+07 2.025067e+07 2.021465e+07     19519152
## v1  195717396340 2.070700e+12 1.112541e+12 1.097286e+12 839055920031
## v1x 195717396340 1.170216e+11 1.286638e+11 1.316346e+11 179653807156
## l11     19783586 1.733879e+07 1.818332e+07 1.816152e+07     17723792
## l12     21517792 2.297964e+07 2.231802e+07 2.226778e+07     21314511
##                1 1.000000e+00 1.000000e+00 1.000000e+00            1
##           [,461]       [,462]       [,463]       [,464]       [,465]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20130415     19775992     19846453     20440341     19780774
## v1  348098951339 298880697394 234186755190 199844359096 303049991402
## v1x 166084572040 193044174893 184399637649 199844359096 117736392747
## l11     18974017     18704461     18897953     19564144     18701794
## l12     21286814     20847524     20794952     21316539     20859753
##                1            1            1            1            1
##           [,466]       [,467]       [,468]       [,469]       [,470]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19920538     19570009     19317562     20191287     19516982
## v1  217507516857 189306063531 403691184330 281480356559 369818263036
## v1x 122905994959 135425764669 187020845815 158604882075 251792965081
## l11     19006439     18717226     18072243     19151415     18325054
## l12     20834637     20422791     20562881     21231160     20708911
##                1            1            1            1            1
##           [,471]       [,472]       [,473]       [,474]       [,475]
## n1            15           20 3.000000e+00            4            5
## m1            40           30 2.000000e+02          150          120
## t1      19743629     21215601 2.012995e+07     20170605     20317666
## v1  317264703442 235976483023 1.087008e+12 943298514177 725190289732
## v1x 238324465931 235976483023 1.265877e+11 173358449212 186232414874
## l11     18639634     20263484 1.808646e+07     18266983     18648567
## l12     20847623     22167718 2.217344e+07     22074227     21986765
##                1            0 1.000000e+00            1            1
##           [,476]       [,477]       [,478]       [,479]       [,480]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20197208     19835501     20316795     19779088     19712889
## v1  594416623869 309602618990 324086050977 228159071405 188315335428
## v1x 212070369059 171385205511 177106419303 166214245798 188315335428
## l11     18686079     18744919     19200995     18842874     18862341
## l12     21708337     20926083     21432594     20715301     20563437
##                1            1            1            1            1
##           [,481]       [,482]
## n1  9.375000e+00 3.155010e+01
## m1  9.375000e+01 3.155010e+03
## t1  2.003396e+07 1.475746e+11
## v1  3.968246e+11 1.168192e+23
## v1x 1.435707e+11 1.514415e+21
## l11 1.887071e+07 3.000415e+11
## l12 2.119721e+07 3.384217e+11
##     9.770833e-01 2.243824e-02

Este último es el método normal con varianza robusta

##             [,1]         [,2]         [,3]         [,4]         [,5]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20049842     20124456     19623026     19409276     19564672
## v1  126096305993 164725485670 161018567583 220865846491 170273473842
## v1x  75633528974 101705009459 124511520678 155328995446 141427952934
## l11     19510812     19499388     18931417     18636805     18827577
## l12     20588872     20749524     20314635     20181747     20301767
##                1            1            1            1            1
##             [,6]         [,7]         [,8]         [,9]        [,10]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20211688     20233250     21151566     20503368     20274292
## v1  189544485770 207886029595 215871892789 284384055529 293296448717
## v1x 172606764053 177636990554 215871892789  98779587624 116557097226
## l11     19397387     19407169     20240910     19887356     19605139
## l12     21025989     21059331     22062221     21119381     20943445
##                1            1            0            1            1
##            [,11]        [,12]        [,13]        [,14]        [,15]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20250492     20002260     19801892     20584965     20861159
## v1  234872313943 229655765783 180152682105 209559257178 182988698722
## v1x 133036688365 157893645907 128968758055 171535281663 164318999134
## l11     19535598     19223437     19098012     19773196     20066648
## l12     20965386     20781082     20505771     21396735     21655670
##                1            1            1            1            0
##            [,16]        [,17]        [,18]        [,19]        [,20]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19688584     19468551     20157603     20247126     19732256
## v1  170582648143 256723513262 479464219065 356520164813 830061945804
## v1x 170582648143 138205376468 146174305085 162243600003 200555046819
## l11     18879071     18739902     19408241     19457649     18854502
## l12     20498096     20197200     20906964     21036604     20610010
##                1            1            1            1            1
##            [,21]        [,22]        [,23]        [,24]        [,25]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      19777429     19833098     20467383     20783940     19905094
## v1  404514265844 330553123111 248911229953 209244460573 357950578369
## v1x 178424351877 181439103809 176560860875 209244460573  99448220368
## l11     18949519     18998223     19643808     19887372     19287000
## l12     20605339     20667973     21290958     21680508     20523188
##                1            1            1            1            1
##            [,26]        [,27]        [,28]        [,29]        [,30]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19910370     20384014     19837461     19550914     20611146
## v1  501004558954 381290062118 438952437694 223861626182 331138034505
## v1x 105643101775 118655760531 176225318031 148051884686 199295282787
## l11     19273315     19708864     19014668     18796754     19736153
## l12     20547424     21059164     20660253     20305073     21486139
##                1            1            1            1            1
##            [,31]        [,32]        [,33]        [,34]        [,35]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19717249     20830563     19991929     20424318     19781933
## v1  247080515703 210053186484 100830730078 169407729022 215828825022
## v1x 180921125012 210053186484  61587552038  94517603778 130628587907
## l11     18883567     19932264     19505519     19821741     19073538
## l12     20550932     21728861     20478339     21026894     20490327
##                1            1            1            1            1
##            [,36]        [,37]        [,38]        [,39]        [,40]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      19887747     19870256     20286165     19752690     19576288
## v1  222494766090 228851585249 274782137876 202057306832 166779460118
## v1x 138340730603 127211694246 153594788482 144993772539 166779460118
## l11     19158741     19171188     19518019     19006360     18775850
## l12     20616753     20569324     21054312     20499020     20376725
##                1            1            1            1            1
##            [,41]        [,42]        [,43]        [,44]        [,45]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20143548     20118259     20107810     20154306     20029230
## v1  141983738281 164365025561 207073498794 244550255803 219610183341
## v1x  84550507576 130943546183 150470308210 185932477069 164329316837
## l11     19573628     19409011     19347516     19309156     19234694
## l12     20713469     20827507     20868104     20999456     20823766
##                1            1            1            1            1
##            [,46]        [,47]        [,48]        [,49]        [,50]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      20733556     19446602     20287238     20020722     20109289
## v1  320600210607 256251556832 204701280833 114168135996 218353681943
## v1x 214936300694 200547665173 204701280833  63495282707 123179935227
## l11     19824876     18568864     19400457     19526836     19421388
## l12     21642236     20324340     21174019     20514608     20797190
##                1            1            1            1            1
##            [,51]        [,52]        [,53]        [,54]        [,55]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      20307758     19890468     19987770     20098431     19453472
## v1  193286410664 353951120899 242796373839 271529207212 197660991317
## v1x 129030910198 128919338414 115879245229 148486972053 143466902109
## l11     19603709     19186724     19320566     19343164     18711083
## l12     21011807     20594213     20654975     20853697     20195862
##                1            1            1            1            1
##            [,56]        [,57]        [,58]        [,59]        [,60]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19610991     20285741     20586393     20661003     20153166
## v1  184358024505 308224125063 305463713793 367172924755 559276100487
## v1x 184358024505  99134681721 111316949977 124770396649 167981506846
## l11     18769427     19668622     19932455     19968675     19349849
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## v1  353854538516 228407422386 248819999378 220971183651 171807341822
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## t1      20017524     19746256     20186633 2.010400e+07     20189692
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## v1x 182424196727  68831287721  74650597799 107973841456 170552835372
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## t1      20508527     19896073     19906760     20232731     19863972
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## v1x 101512796740 116107825150 159242109400 161232756924 197437157191
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## v1x 191869139699 180706341103  95599189228 103990071426 144534481984
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## t1      20400772     20019629     20022319     20011788     19399276
## v1  530087902126 293337210710 323276571330 212886474325 162550931698
## v1x 155749654762 132454057680 148204038816 141674960320 162550931698
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## n1            12           15           20            3            4
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## t1      19528251     19836570     20440005     20116201     19937124
## v1  305851912271 237924260041 206007450813 414583853778 322197491844
## v1x 205616180857 192143596157 206007450813  54941273597  64259474565
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## m1            40           30          200          150          120
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## t1      19693689     19816058     20284966     20137047     20717641
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## n1            10           12           15           20            3
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## n1  4.000000e+00            5            6           10           12
## m1  1.500000e+02          120          100           60           50
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## m1           200          150          120          100           60
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##                1            1            1            1            1
##           [,441]       [,442]       [,443]       [,444]       [,445]
## n1             3            4            5            6           10
## m1           200          150          120          100           60
## t1      20126386     19743454     19938850     19416335     20059494
## v1  104610525646 904103747575 668870840816 472096955185 281523029711
## v1x  57808823703  95032883473 102139358346 115238125272 125903590929
## l11     19655134     19139237     19312449     18750979     19364029
## l12     20597638     20347671     20565252     20081691     20754959
##                1            1            1            1            1
##           [,446]       [,447]       [,448]       [,449]       [,450]
## n1            12           15           20            3            4
## m1            50           40           30          200          150
## t1      19130123     20118016     20068719     19803115     20180401
## v1  311669359702 243897671489 199899287507 157213216499 538329290501
## v1x 195649883320 185895199372 199899287507  76942800312  83761733494
## l11     18263169     19272951     19192401     19259439     19613145
## l12     19997077     20963081     20945037     20346791     20747656
##                1            1            1            1            1
##           [,451]       [,452]       [,453]       [,454]       [,455]
## n1             5            6           10           12           15
## m1           120          100           60           50           40
## t1      19884667     20968839     19968956     20359082     19620827
## v1  785442344775 574075485453 274805146920 241928146952 230132170410
## v1x 131241730777 166931924924 140659454871 159331450912 158245265738
## l11     19174612     20168036     19233866     19576722     18841138
## l12     20594722     21769642     20704046     21141443     20400516
##                1            0            1            1            1
##           [,456]       [,457]       [,458]       [,459]       [,460]
## n1            20            3            4            5            6
## m1            30          200          150          120          100
## t1      19888832     20543917     20137406     19858603     19740717
## v1  171514352217 171006947746 296221905632 229065841626 450470861470
## v1x 171514352217  64649036438  90518746257 112996353264 123932164004
## l11     19077112     20045564     19547713     19199751     19050719
## l12     20700552     21042270     20727098     20517456     20430715
##                1            0            1            1            1
##           [,461]       [,462]       [,463]       [,464]       [,465]
## n1            10           12           15           20            3
## m1            60           50           40           30          200
## t1      20026485     19853682     20263362     19448412     19839072
## v1  253600032502 256408844266 196591977548 161011231004 183603583104
## v1x 131921357410 163978502971 157102421152 161011231004  87038023472
## l11     19314593     19059994     19486493     18661939     19260829
## l12     20738376     20647369     21040230     20234886     20417315
##                1            1            1            1            1
##           [,466]       [,467]       [,468]       [,469]       [,470]
## n1             4            5            6           10           12
## m1           150          120          100           60           50
## t1      19939489     20183195     19718492     19717505     19897400
## v1  553560464518 504611205994 515428770558 241276052032 341496650454
## v1x 103441043374 126565722269 176998460592 156813026484 174396569232
## l11     19309108     19485904     18893896     18941353     19078888
## l12     20569869     20880486     20543087     20493658     20715912
##                1            1            1            1            1
##           [,471]       [,472]       [,473]       [,474]       [,475]
## n1            15           20            3            4            5
## m1            40           30          200          150          120
## t1      19468802     20075578     20337467     20680081     20510028
## v1  235625972100 191901657666 570044427022 345066386915 254659424247
## v1x 167619860275 191901657666  53294612341  83293657813 107107379201
## l11     18666350     19216969     19884989     20114412     19868574
## l12     20271253     20934187     20789946     21245749     21151483
##                1            1            1            0            1
##           [,476]       [,477]       [,478]       [,479]       [,480]
## n1             6           10           12           15           20
## m1           100           60           50           40           30
## t1      20047638     19888193     20209476     19509326     19404655
## v1  319080372810 243634792117 262239718922 225155562681 181461670613
## v1x 135351585471 115705044496 169797534028 175739563536 181461670613
## l11     19326551     19221490     19401829     18687668     18569728
## l12     20768725     20554895     21017124     20330983     20239582
##                1            1            1            1            1
##           [,481]       [,482]
## n1  9.375000e+00 3.155010e+01
## m1  9.375000e+01 3.155010e+03
## t1  2.003285e+07 1.380513e+11
## v1  3.576693e+11 6.282899e+22
## v1x 1.441432e+11 1.802528e+21
## l11 1.929751e+07 1.564214e+11
## l12 2.076820e+07 1.457460e+11
##     9.604167e-01 3.809586e-02

Este último es el método normal con varianza no robusta. No es necesario robustecer la varianza y usar intervalos de holgura en muestras grandes, en este caso de 600 unidades elementales, aunque las poblaciones de los conglomerados tengan ligeras desviaciones de la distribución normal.