Trabajo N1 _Variograma y Estadistica
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Transcript of Trabajo N1 _Variograma y Estadistica
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8/16/2019 Trabajo N1 _Variograma y Estadistica
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1) Generación de los 1000 datosaleatorios entre ]0,1[ , esto
sería nuestro dominio al cualdenominaremos Ley_Mineral:
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Distancia Datos
Datos:Orden
Ascendente
1 0.381932
51
0.0004945
9
0.29238428
0.000982911
! 0.832524
740.0013444
81
" 0.282618
720.0019990
66
#0.078422
320.0033289
88
$0.069100
760.0046738
33
%
0.796046
32
0.0064860
43
&0.010057
630.0076615
29
'0.304561
950.0100576
33
100.363875
660.0112049
38
110.761293
50.0123907
35
10.676420
630.0128266
57
1! 0.07327643 0.013753585
1"0.753227
040.0148502
33
1#0.460101
380.0167524
01
1$0.081835
450.0172253
7
1%0.745902
19 0.0174989
1&0.645800
380.0179187
6
1'0.537774
860.0190561
05
00.186608
110.0199945
93
10.014850
230.0206035
34
0.260873
370.0233799
14
!0.919934
160.0243780
28
"
0.914488
36
0.0262218
03# 0.901356 0.0268118
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47 7
$0.142168
790.0301190
15
%0.600381
760.0301341
79
& 0.14068261 0.03145558
'0.885745
260.0345136
44
!00.034513
640.0356369
42
!10.139769
290.0379843
43
!0.636484
940.0385645
24
!!0.718508
460.0385777
96
!"0.093897
290.0398881
83
!#0.006486
040.0406953
49
!$0.178820
050.0413764
53
!%0.108981
720.0415392
17
!&0.672451
10.0426499
12
!'
0.421601
08
0.0429120
05
"00.781602
40.0434032
24
"10.985643
150.0436200
13
"0.071403
380.0443535
63
"!0.239441
570.0458114
38
""0.326881
430.0469556
54
"# 0.47274374 0.047144315
"$0.978410
760.0481408
7
"%0.830423
130.0482237
99
"&0.727381
220.0495694
98
"'0.536725
820.0496879
01
#00.670820
520.0497640
46
#10.959417
150.0498664
85
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#0.256404
870.0502844
77
#!0.379121
970.0505675
16
#"
0.238079
62
0.0513768
33
##0.653282
280.0527371
62
#$0.064379
380.0530755
31
#%0.622303
760.0549659
21
#&0.070499
780.0550213
27
#'0.506419
030.0550291
59
$0
0.283529
59
0.0560725
5
$10.828331
140.0567329
98
$0.428675
760.0577574
7
$!0.125265
680.0605753
08
$"0.720249
86 0.0612105
$#0.095449
130.0615298
05
$$ 0.98345127 0.062314214
$%0.994929
930.0625733
49
$&0.314034
730.0627336
47
$'0.928890
010.0636347
12
%00.183164
940.0643793
79
%10.392169
310.0646174
39
%0.229736
950.0653693
35
%!0.047144
320.0656864
54
%"0.629746
670.0672171
42
%#0.966762
31 0.0681559
%$0.141602
130.0688400
69
%%
0.371074
21
0.0691007
61%& 0.754663 0.0698938
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96 61
%'0.342243
110.0702690
29
&00.655277
870.0704997
77
&1 0.79536239 0.071403377
&0.628113
470.0718635
17
&!0.211748
30.0731303
24
&"0.353885
470.0732764
35
0.484259
320.0749565
87
&$0.701012
330.0765791
75
&%0.068840
070.0784223
16
&&0.743621
040.0785897
73
&'0.231472
140.0801272
39
'00.315245
110.0801468
19
'10.042649
910.0818354
54
'
0.224961
27
0.0834556
48
'!0.167214
680.0866296
01
'"0.238449
120.0876414
87
'#0.166332
890.0876534
42
'$0.502419
090.0882556
64
'%0.745048
270.0898560
26
'& 0.68021734 0.0916148
''0.990409
890.0916718
62
1000.440543
230.0938972
9
1010.491611
630.0954491
33
100.237445
60.0966449
64
10!0.841065
30.0967323
69
10"0.619247
390.0990874
54
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10#0.504041
710.0995239
48
10$0.334316
290.1005921
84
10%
0.618627
53
0.1008850
3
10&0.210713
370.1028605
58
10'0.174333
650.1047001
43
1100.172969
290.1050564
1
1110.051376
830.1057697
92
110.285447
130.1064340
55
11!
0.717126
93
0.1072374
47
11"0.828851
330.1080607
21
11#0.566653
790.1089817
17
11$0.621311
580.1093427
23
11%0.224781
720.1113981
85
11&0.825676
120.1121324
27
11' 0.46463443 0.1129579
100.654840
870.1140493
78
110.139710
420.1156376
65
1 0.4699590.1179858
7
1!0.030134
180.1181600
97
1"0.736691
540.1184830
66
1#0.777036
830.1201211
84
1$0.023379
910.1218523
28
1%0.560256
520.1229318
84
1&0.409481
140.1244244
13
1'0.003328
990.1248071
27
1!0
0.845144
55
0.1252656
81!1 0.311862 0.1256278
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66 22
1!0.203350
950.1270710
04
1!!0.055021
330.1279689
51
1!" 0.93710374 0.129872617
1!#0.046955
650.1310219
78
1!$0.776318
920.1322218
85
1!%0.108060
720.1324596
93
1!&0.763434
580.1336888
66
1!'0.353585
650.1345044
11
1"00.421187
540.1373242
39
1"10.844509
940.1383430
17
1"0.769802
660.1397104
15
1"!0.392822
740.1397692
94
1""0.913864
19 0.1405013
1"#
0.402142
19
0.1406826
13
1"$0.512383
620.1416021
28
1"%0.541324
960.1421687
89
1"&0.234983
940.1425668
11
1"'0.425569
450.1431400
71
1#00.772303
660.1441730
83
1#1 0.35060165 0.144336719
1#0.562368
640.1449484
7
1#!0.376297
910.1451166
12
1#"0.387006
840.1456340
21
1##0.384290
990.1460646
81
1#$0.191228
70.1470590
08
1#%0.505353
170.1473408
54
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1#&0.437090
790.1476821
82
1#'0.073130
320.1477152
76
1$0
0.134504
41
0.1482488
12
1$10.953041
570.1514366
48
1$0.735142
120.1518028
98
1$!0.984682
470.1519181
71
1$"0.261018
060.1543137
55
1$#0.050284
480.1543944
73
1$$
0.870230
43
0.1547058
85
1$%0.994493
890.1555822
5
1$&0.792405
460.1623150
13
1$'0.100885
030.1635798
49
1%00.353464
410.1639942
63
1%10.859586
340.1663328
9
1% 0.72519206 0.167214678
1%!0.295812
570.1674733
11
1%"0.421094
70.1679520
89
1%#0.496720
110.1682836
12
1%$0.065686
450.1694117
71
1%%0.935866
380.1699831
56
1%&0.043620
010.1711370
51
1%'0.514143
020.1724379
92
1&00.193719
330.1729692
94
1&10.363514
40.1733088
29
1&0.896387
970.1738263
82
1&!
0.639428
68
0.1743336
491&" 0.375603 0.1750246
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15 25
10.645007
950.1754159
51
1&$0.179319
540.1755609
63
1&% 0.48575805 0.175916782
1&&0.286614
240.1759735
35
1&'0.488593
610.1774343
21
1'00.175024
630.1781841
44
1'10.425120
940.1785850
42
1'0.518963
070.1788200
49
1'!0.378000
710.1792341
2
1'"0.660658
450.1793195
37
1'#0.282028
240.1793818
58
1'$0.512716
420.1796337
69
1'%0.716786
420.1801609
03
1'&
0.821698
53
0.1806926
08
1''0.011204
940.1816440
46
000.536343
40.1816939
51
010.758823
770.1829522
55
00.901094
70.1831649
41
0!0.533069
180.1834623
47
0" 0.33616027 0.184149057
0#0.191959
090.1852689
99
0$0.973879
460.1854524
13
0%0.362498
110.1856017
84
0&0.939971
190.1860825
61
0'0.270281
760.1864479
85
100.694936
290.1866081
08
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8/16/2019 Trabajo N1 _Variograma y Estadistica
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110.807640
950.1866713
69
10.475042
420.1874570
51
1!
0.777478
56
0.1882027
58
1"0.228527
740.1889799
16
1#0.118160
1 0.1912287
1$0.814400
030.1912407
2
1%0.450305
480.1919590
92
1&0.266692
450.1937193
27
1'
0.263171
58
0.1965976
97
00.147715
280.1973406
23
10.800082
810.1981795
05
0.088255
660.2024673
81
!0.572157
760.2033509
49
"0.817895
70.2047200
26
# 0.26047512 0.206691016
$0.416037
240.2079214
91
%0.312880
190.2093624
1
&0.609389
960.2099518
4
'0.197340
620.2104616
86
!00.809800
170.2107133
73
!10.877515
970.2111886
76
!0.944999
71 0.2117483
!!0.608881
710.2133613
05
!"0.349825
90.2139401
38
!#0.421962
030.2158884
52
!$ 0.042912
0.2167557
46!% 0.784052 0.2244066
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8/16/2019 Trabajo N1 _Variograma y Estadistica
11/61
56 89
!&0.309266
020.2247817
17
!'0.291941
580.2249612
72
"0 0.75890255 0.22595207
"10.427438
080.2266703
65
"0.923989
370.2270953
2
"!0.020603
530.2277226
22
""0.496193
810.2285277
41
"#0.760436
220.2297369
48
"$0.482106
580.2314721
44
"%0.390400
250.2322483
3
"&0.995007
960.2345262
75
"'0.148248
810.2347781
53
#00.239905
260.2349839
43
#1
0.186671
37
0.2357365
85
#0.361431
460.2365548
99
#!0.874625
410.2374455
98
#"0.754935
50.2380796
24
##0.050567
520.2381501
51
#$0.526016
390.2384491
19
#% 0.08014682 0.238510641
#&0.063634
710.2394415
75
#'0.054965
920.2399052
59
$00.955104
490.2401181
18
$10.568623
60.2423321
35
$0.432843
150.2430064
06
$!0.327194
820.2431893
76
-
8/16/2019 Trabajo N1 _Variograma y Estadistica
12/61
$"0.083455
650.2471899
5
$#0.812482
120.2474532
43
$$
0.758764
74
0.2488882
83
$%0.752019
860.2510018
85
$&0.304166
730.2532701
89
$'0.120121
180.2550614
87
%00.080127
240.2554998
2
%10.087641
490.2564048
74
%
0.327941
86
0.2567059
99
%!0.912629
380.2573504
71
%"0.570966
59 0.2576421
%#0.167473
310.2583809
78
%$0.856345
070.2604751
18
%%0.271239
410.2606383
78
%& 0.21675575 0.260873371
%'0.112957
90.2609502
44
&00.761532
430.2610180
65
&10.401263
540.2611738
42
&0.225952
070.2625886
28
&!0.328507
370.2631715
84
&"0.410394
90.2639815
26
0.660829
10.2650716
39
&$0.181644
050.2656462
17
&%0.717024
830.2658445
91
&&0.640757
40.2666924
53
&'
0.111398
19
0.2688935
62'0 0.598900 0.2702817
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57 62
'10.553975
860.2712394
07
'0.811442
540.2722814
08
'! 0.31625907 0.272454405
'"0.038577
80.2731218
07
'#0.388017
140.2747070
61
'$0.461658
160.2755090
92
'%0.257350
470.2757418
16
'&0.649984
420.2770459
18
''0.945357
310.2791467
58
!000.798899
060.2803351
93
!010.650931
090.2809446
43
!00.626580
810.2820282
43
!0!0.919864
130.2825725
06
!0"
0.681698
33
0.2826187
18
!0#0.638226
60.2826352
32
!0$0.173308
830.2835295
88
!0%0.118483
070.2844962
44
!0&0.310291
520.2854471
33
!0'0.961732
560.2860259
77
!10 0.57765905 0.28661424
!110.124424
410.2877685
69
!10.683787
60.2900898
64
!1!0.460415
780.2919415
8
!1"0.957828
380.2923842
8
!1#0.329793
950.2933057
14
!1$0.554872
410.2955122
56
-
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!1%0.589280
910.2955429
32
!1&0.647992
560.2958125
68
!1'
0.938088
23
0.2974742
94
!00.976762
910.2978583
56
!10.024378
030.2988918
86
!0.739115
230.2998749
7
!!0.140501
30.3008256
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!"0.234778
15 0.3035835
!#
0.714648
7
0.3041667
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!$0.286025
980.3045619
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!%0.375243
970.3050224
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!&0.133688
870.3056906
97
!'0.906403
210.3064391
9
!!00.879205
080.3068187
93
!!1 0.71270421 0.307355225
!!0.127968
950.3084737
55
!!!0.583024
450.3092660
15
!!"0.468141
250.3102915
16
!!#0.541762
050.3118626
6
!!$0.324366
980.3128801
93
!!%0.557446
440.3136541
08
!!&0.315501
720.3140347
32
!!'0.293305
710.3144522
29
!"00.731543
880.3146901
23
!"10.825764
920.3152451
08
!"
0.691380
38
0.3155017
22!"! 0.115637 0.3162590
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67 74
!""0.049866
490.3162883
03
!"#0.703605
320.3166706
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!"$ 0.04581144 0.320530183
!"%0.913742
250.3230278
91
!"&0.434642
690.3231521
55
!"'0.926364
330.3231691
13
!#00.394466
660.3243669
78
!#10.300825
690.3268814
34
!#0.961915
180.3270537
11
!#!0.078589
770.3271948
24
!#"0.861308
550.3273974
45
!##0.493853
610.3279418
6
!#$0.096732
370.3285073
7
!#%
0.341779
3
0.3287584
2
!#&0.398577
940.3297939
46
!#'0.284496
240.3298368
05
!$00.788259
60.3299177
82
!$10.402351
370.3324980
08
!$0.473176
240.3331305
02
!$! 0.09167186 0.333538711
!$"0.515437
830.3343162
93
!$#0.818868
010.3361602
74
!$$0.582612
950.3372515
75
!$%0.947822
540.3386742
89
!$&0.434904
810.3389009
93
!$'0.768885
810.3397680
97
-
8/16/2019 Trabajo N1 _Variograma y Estadistica
16/61
!%00.124807
130.3405799
31
!%10.434163
190.3412336
58
!%
0.668277
59
0.3416828
98
!%!0.224406
690.3417792
96
!%"0.359567
110.3422431
08
!%#0.797004
250.3434144
59
!%$0.348336
160.3440597
09
!%%0.000982
910.3445254
1
!%&
0.344525
41
0.3450250
53
!%'0.363236
970.3471667
92
!&00.661359
290.3483361
58
!&10.096644
96 0.3498259
!&0.838069
420.3506016
48
!&!0.039888
180.3518157
89
!&" 0.39668131 0.35190923
!0.962805
180.3522875
39
!&$0.678947
930.3534644
07
!&%0.204720
030.3535856
49
!&&0.671851
590.3538854
71
!&'0.470234
130.3550274
91
!'00.809923
70.3551149
02
!'10.238150
150.3581307
42
!'0.886369
450.3595671
1
!'!0.658760
890.3596573
45
!'"0.131021
980.3614314
58
!'#
0.700741
82
0.3618690
72!'$ 0.711949 0.3624981
-
8/16/2019 Trabajo N1 _Variograma y Estadistica
17/61
49 06
!'%0.344059
710.3632369
68
!'&0.333130
5 0.3635144
!'' 0.55164669 0.363875658
"000.916602
680.3645322
47
"010.447422
590.3651293
88
"00.539539
570.3661448
92
"0!0.013753
580.3668620
13
"0"0.599640
480.3696984
44
"0#0.518696
930.3710742
14
"0$0.652167
460.3733845
38
"0%0.180692
610.3750608
26
"0&0.525719
130.3752439
71
"0'0.049764
050.3755881
62
"10
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56O(seración : Usare los programas Excel para la generación de los 1000 datosaleatorios entre ]01! " l#ego $at%a& para poder programar los c'lc#los " (#eestos se realicen a#tom'ticamente sin ma"or es)#er*o
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*OL+-./
1a) onstruir y ra2car 3istorama
+ ,mportaremos los 1000 datos a $atla& de la sig#iente )orma
-ota El rango /2/1001 contendr' los 1000 datos sin ordenar solo tendr'n lacondición de aleatoria #saremos el comando istogram " tendemos losig#iente
4istorama 5ara los 1000 datos aleatorios sin ordencaracterístico
+ara gracar el istograma #samos
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Histograma para los 1000 datos aleatorios ]0,1[
1() alcular u, σ 2
, 6
+ara el calc#lo de la media arian*a " el oeciente de ariación reali*aremos la sig#iente programación en $atla&
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+ Una e* programado acemos correr al programa " o&tendremos losres#ltados correspondientes
1c) alcular y ra2car el 6ariorama
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+ara el c'lc#lo del ariograma aremos la sig#iente programación en $at%a&(#e depender' de dos alores para reali*ar la s#matoria en este caso ser' elariograma para los 1000 datos aleatorios.
+Esta programación nos mostrara como res#ltado lo sig#iente
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Gr72ca del ariograma de 1000 datos aleatorios ]0,1[
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) Ordenar en 8orma ascendente los datos enerados en 1 yreali9ar lo siuiente:
+ :atos ordenados en )orma ascendente lo podemos er en la primera ta&la enla tercera col#mna tenemos como alor m;nimo 0.00049459 " alor m'ximo
0.995007956 procederemos a anali*ar " l#ego concl#iremos a eal#ar lasposi&les ariaciones tanto en los cálculos de media , varianza , CV yvariograma.
a) onstruir y ra2car 3istorama
+ara constr#ir el istograma importaremos los datos de Excel "seleccionaremos el rango de datos en orden ascendente :1001
+
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() alcular u, σ 2
, 6
+rocederemos a calc#lar la media # arian*a σ 2
" El coeciente de
ariación de los 1000 datos aleatorios en orden creciente.
+=eali*amos la sig#iente programación en $at%a& Esto es similar a laprogramación empleada anteriormente
+Una e* (#e corremos la programación o&tenemos los sig#ientes res#ltados
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c) alcular y ra2car el 6ariorama
+ara calc#lar el ariograma #saremos la misma programación #sada en elinciso 1.c la di)erencia ser' &'sicamente en la data (#e importemos de Excel
n#estro n#eo rango de datos aleatorios en orden ascendente ser' >2>1001
• :esp#?s de a&er reali*ado la programación procedemos a reisar " en
caso no encontremos ning#na o&seración procedemos a correr el
programa " o&tenemos los sig#ientes datos para el ariograma de los1000 datos ordenados en )orma ascendente
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+
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!) onclusiones
Una e* reali*ados los c'lc#los de la parte inicial el c#'l nos pide $edia
arian*a " oeciente de ariación adem's del istograma para los 1000datos aleatorios de ]01! " los mismo mil datos aleatorios de ]01!peroordenados en )orma ascendente podremos o&serar (#e los res#ltados
son los mismos " esto )#e el principal pro&lema (#e encontró
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$ateron (#e la estad;stica tenia limitaciones al no poder relacionar losdatos con s# #&icación en el espacio.'lc#los de los 1000 datos originados de )orma aleatoria entre ] 01!
OrdenAleatorio
OrdenAscendente
Media 0.4766 0.47666arian9a 0.0807 0.08076 0.5961 0.5961
Eal#ando el ariograma para los 1000 datos aleatorios ]01! n#estro
ariograma tiene #na )orma oscilante pero con tendencia a a#mentar en el seg#ndo caso teniendo los 1000 datos ordenados en )ormacreciente emos (#e la gr'ca del ariograma inicia cerca en cero "
l#ego a a#mentando asta alcan*ar s# alor m'ximo alrededor de 05
oncl#imos (#e para anali*ar datos (#e dependen de s# #&icación en el
espacio tridimensional tendr;amos (#e necesariamente #tili*ar elariograma anali*ar el comportamiento espacial de #na aria&le so&re#n 'rea denida o&teniendo como res#ltado #n ariograma experimental(#e re@eAa la distancia m'xima " la )orma en (#e #n p#nto tienein@#encia so&re otro p#nto a di)erentes distancias.
En el caso de las gr'cas (#e o&t#imos de los ariograma o&seramos
(#e c#ando los 1000 datos no tienen #n orden la gr'ca (#e o&tenemoses oscilante con #n inicio en 0.08 los alores sig#ientes se #&icaran porencima o por de&aAo del 0.08 .
B&seraremos (#e c#ando los 1000 datos aleatorios se enc#entran
ordenados la gr'ca del ariograma res#ltara creciente iniciando en 0 "llegando a s# m'ximo en 0.5 aproximadamente.
https://es.wikipedia.org/wiki/Variable_estad%C3%ADsticahttps://es.wikipedia.org/wiki/%C3%81reahttps://es.wikipedia.org/wiki/%C3%81reahttps://es.wikipedia.org/wiki/Variable_estad%C3%ADstica
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