geostatistics lesson 1

7/24/2019 Geostatistics Lesson 1

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CRED IT: 3

GEOSTATISTICS


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RECIPE FOR SUCCESS GEOSTATISTICS

1.Prepare for lectures

attempt assigned reading before class

be active in class (paying attention t lect!re is more

important t"an ta#ing e$acting notes%2.Come to lecture

Dn&t late 'r t"is class (only 10-minute delay tolerance%

3.Attendance should be more than 7!

".#o home$or%

best )a* t prepare 'r e$am is b* doing prblems.#iscuss and e&plore material $ith classmates

'.(f you have )uestions* get them ans$ered

7.Come to o+ce hours $hen you need help


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OUT+I,E

Intrd!ctin

Uni-ariate Statistics

.i-ariate Statistics

/!lti-ariate Statistics

Estimatin

0arigram

1riging2 C1riging

Applicatin ' Gestatistics in /ineralE$plratin


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REFERE,CES

4 Ed)ar 5 Isaa# dan R /"an Sri-asta-a2AppliedGeostatistics2 O$'rd Uni-ersit* Press2 4676

8 Friedric"9il"elm 9ellmer2 Statistical Evaluations

in Exploration for Mineral Deposits2 Springer24676

3 Ricard A Olea2 Geostatistics for Engineer andEarth Scientist2 Springer Science.!sinees

/edia2 4666


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ASSESS/E,T

Final e$am : 8;ed !sing gestatisticalmet"ds r )"et"er classical statistics )!ld s!ce

Gestatistics pr-ides t"e best pssible )eig"ting'r samples !sed inreser-e estimatin s as t prd!ce t"e l)est pssible errr '

estimatin

Cmp!teri>ed sim!latin ' in sit! cal !alit* 'r impr-ing predictins' t"e -ariabilit* ' cal !alities "a-e been identied as t"e mstsignicant parametersaecting cal s!ppl* (9"atele*2 8;;8%


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GEOSTATISTICS

Pr' /at"ern (46;%:Gestatistics "as beendened as Ht"e applicatin

' prbabilistic met"ds treginali>ed -ariablesH2)"ic" designate an*'!nctin displa*ed in a realspace


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.ASIC STATISTICS

,nivariatetatistics

Anal*sis n

single -ariable)it"!tcnsideringt"eir lcatin

T"e data isass!med t be

a randm-ariable

ivariatetatistics

Anal*sis n t)

dierent-ariableslcated in t"esame lcatin

patialtatistics

Anal*sis n a

-ariable )it"cnsidering t"espatial aspect' data It canbe applied 'rnat!ral

p"enmena2 b*ass!ming t"att"e data is arandm'!nctin


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U,I0ARIATE STATISTICS

+ESSO, 4


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U,I0ARIATE

STATISTICS

Fre!enc*tables

"istgrams

/eas!res' lcatins

/eas!res'

dispersin

/eas!res' s"ape

.$ plts


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A POROSIT@ DATASET


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FRE=UE,C@ TA.+ES 5ISTOGRA/

+# 'r t"e min ma$ -al!es

Di-ide t"e range ' -al!es int certain inter-als (bins%

C!nt t"e n!mber ' data 'all )it"in eac" inter-al (bin%

/a#e a 're!enc* table /a#e a "istgram b* pltting t"e data in t"e 're!enc*

tables


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CU/U+ATI0E P+OTS

Gi-en a 're!enc* table:

Add t"e n!mber ' data )"ic" are smaller t"an agi-en -al!e

Di-ide t"e n!mber ' data b* t"e ttal n!mber ' data /a#e a c!m!lati-e 're!enc* table

/a#e a c!m!lati-e "istgram


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/EASURES OF +OCATIO,S


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/EASURES OF DISPERSIO,

T"e Standard De-iatin is ameas!re ' ") spread !tn!mbers are

T"e 0ariance is dened as:T"e a-erage ' t"e s)uareddierences'rm t"e /ean

T"e cecient ' -ariatin represents t"e rati ' t"e standard de-iatin t t"e mean2and it is a !se'!l statistic 'r cmparing t"e degree ' -ariatin 'rm ne data series t

ant"er2 e-en i' t"e means are drasticall* dierent 'rm eac" t"er


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/EASURES OF S5APE


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U,I/ODA+ 0S .I/ODA+ 0S PO+@/ODA+

/de is !sed t describe a localma&imum in a chart It des ntre'er t t"e mst 're!entl*appearing scre (as in t"e centraltendenc* mde% Rat"er2 a lcalma$im!m is a high point in achart T"e lcal ma$ima are t"epints )"ere t"e scre 're!enciesstp increasing and begindecreasing

Unimdal distrib!tins "a-e ne

pea# r mde .imdal distrib!tins "a-e t)

mdes

Pl*mdal distrib!tins "a-et"ree r mre lcal ma$ima


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S@//ETRIC


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SU//AR@ STATISTICS


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.OJ P+OTS

T"e b$ plt (b$ and )"is#er diagram% is astandardi>ed )a* ' displa*ing t"e distrib!tin 'data based n t"e -e n!mber s!mmar*: minim!m2rst !artile2 median2 t"ird !artile2 and ma$im!m


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.OJ P+OTS


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.OJ P+OTS: EJA/P+E


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EJA/P+E

Dra) a b$plt )it" !tliers t s") t"e n!mber ' "!rs spent n aprKect b* indi-id!al st!dents in a partic!lar sc"l

8 3 ? 6 6 43 46 8? 8L 3B 3

3L ?; ?7 B B6 L4 L 7 6; 68 6L

4;8 4;8 4;7 444 4? 4?L 4?L 4 474 88 8?Sl!tin:

4 T"e data are alread* gi-en in rder Frm t"is rdered list2 ndt"e median2 Q4 and Q32 and "ence nd t"e inter!artile rangeT"ere are 33 -al!es2 s Q4 is "al')a* bet)een t"e 7th and 6th-al!es and Q3 is "al')a* bet)een t"e 8Bth and t"e 8th -al!es


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EJA/P+E

8 T nd t"e l)er limit 'r !tliers2 calc!late

Q4 M 4.B N IQR

3.T nd t"e !pper limit 'r !tliers2 calc!lateQ3 4.B N IQR

4. C"ec# t"e data t see i' t"ere are an* -al!es

!tside t"ese limits I' t"ere are t"en t"ese )ill beclassied as !tliers and )ill be dented )it"circles in t"e b$plt


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EJA/P+E

B Find t"e largest -al!e )"ic" is nt an !tlier T"erig"t "and )"is#er ' t"e b$plt )ill nis" at t"is-al!e

T"e b$plt can n) be cnstr!cted as s")n

geostatistics lesson 1

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