trabajo n1 _variograma y estadistica

8/16/2019 Trabajo N1 _Variograma y Estadistica

1/61

1) Generación de los 1000 datosaleatorios entre ]0,1[ , esto

sería nuestro dominio al cualdenominaremos Ley_Mineral:


2/61

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


3/61

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


4/61

#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


5/61

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


6/61

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


7/61

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


8/61

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


9/61

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


10/61

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


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


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


13/61

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


14/61

!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

88

!"0.234778

15 0.3035835

!#

0.714648

7

0.3041667

34

!$0.286025

980.3045619

47

!%0.375243

970.3050224

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!&0.133688

870.3056906

97

!'0.906403

210.3064391

9

!!00.879205

080.3068187

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!!1 0.71270421 0.307355225

!!0.127968

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!!!0.583024

450.3092660

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!!"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

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0.3155017

22!"! 0.115637 0.3162590


15/61

67 74

!""0.049866

490.3162883

03

!"#0.703605

320.3166706

32

!"$ 0.04581144 0.320530183

!"%0.913742

250.3230278

91

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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

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010.3361602

74

!$$0.582612

950.3372515

75

!$%0.947822

540.3386742

89

!$&0.434904

810.3389009

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!$'0.768885

810.3397680

97


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

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030.3535856

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!&&0.671851

590.3538854

71

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130.3550274

91

!'00.809923

70.3551149

02

!'10.238150

150.3581307

42

!'0.886369

450.3595671

1

!'!0.658760

890.3596573

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!'"0.131021

980.3614314

58

!'#

0.700741

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0.3618690

72!'$ 0.711949 0.3624981


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

0.842704

25

0.3756031

49

"110.548480

060.3757458

55

"10.723911

670.3762979

11

"1!0.070269

030.3767147

05

"1"0.898667

120.3769927

25

"1#0.441261

350.3770533

04

"1$ 0.13245969 0.378000713

"1%0.316288

30.3789725

02

"1&0.145634

020.3791219

73

"1'0.691638

840.3819325

06

"00.012826

660.3842909

87

"10.666180

450.3870068

43

"0.633541

520.3880171

44


18/61

"!0.341233

660.3881752

92

""0.043403

220.3882604

09

"#

0.522016

96

0.3883896

73

"$0.185601

780.3895012

8

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470.3902683

78

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50.3904002

52

"'0.434863

850.3921137

84

"!00.209951

840.3921693

07

"!1

0.503547

08

0.3928227

43

"!0.484900

70.3943648

82

"!!0.076579

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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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trabajo n1 _variograma y estadistica

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