apc -cluster (ppt)

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    ANALISIS CLUSTER

    HIERARKI

    GUSTI AYU(12.7158)

    IRMEI ULID

    MOH. HAR(12.7254)

    ROSHAN F

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    PENGELOMPOKAN PROVINSI DI INDONESIA

    BERDASARKANKINERA !EMERINTAH DI SEKTOR !ENDIDIKAN

    TAHU

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    CLUSTER ANALYSIS

    •Cluster analysis aala! suatu te"ni" analisis #ulti$ariate #et%eintere&enen' en(an tu)uan #erin("as ata en(an &en((er%#*%RES!ONDEN se!in((a ter*entu" *e*era&a "el%#&%" ise*ut +luste

    •Kesu"sesan +"uster - &en(el%#&%"an yan( i*uat *er*asis &aa "esa.si#iliarities/ an )ara"nya isi#iliarities,

    In&ut yan( i&erlu"an *eru&a u"uran "esa#aan atau ata i#ana"esa#aan a&at i!itun(,

    •Asu#si analisis (er%#*%l-• Data antar &en(a#atan .+ase/ ine&enen

    • Sa#&el ia#*il se+ara ran%#

    • Antar $aria*el salin( *e*as

    • Data untu" seluru! $aria*el #ini#al #e#ili"i s"ala inter$al

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    UKURAN KETAKMIRIPAN

    •Dili!at ari u"uran )ara",

    •U"uran )ara" yan( serin( i(una"an aala! )ara" eu+lie, Yait

    •Na#un )ara" eu+lie tia" #e#&er!itun("an $arians ala#

    "el%#&%" se!in((a ise#&urna"an %le! )ara" #a!alan%*is,

    •Dan #asi! aa u"uran )ara" lainnya se&erti )ara" #i"%0s"i,

     

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    METODE ANALISIS

     2, Hirar"i - Terstru"tur

    Da&at itelusuri &en((er%#*%lan suatu %*)e" en(an %*)e" lainnya

    Sta*il

    Banya" "el%#&%" *elu# i"eta!ui

    Outut *eru&a en%(ra#

    Pe#%t%n(an - )ara" l%#&atan ter)au!

    3, Tia" *er!irar"i

    Pen(

    Pe

    M

    Met%e yan( serin( i(una"an unt%*)e" &aa !ierar+!i+al +lusterin(&en((u#&alan .a(l%#eati4/, Ter

    &en(el%#&%"an a(l%#erati4 yan( yaitu - sin(le lin"a(e' +%#&lete l

    lin"a(e' +entr%i' #eian' #ini#u#

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    PROSES ANALISIS-EUCLIDIAN DISTANCE - SPS2Me#asu""an ata "eala# ataset SPSS, Setia& $ariai*uat *ersesuaian .se#a"in tin((i nilai $aria*el #a"a*ernilai se#a"in *uru"/, Se!in((a untu" APM' an("a yi#asu""an aala! "%#&le#en ari APM .266 7 APM/

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    3

    Mela"u"an analisis +luster !ierar+!i+al #elalui #enu Analy8e

    Classi4y  Hierar+!i+al Cluster,,, se!in((a #un+ul "%ta" ial%( se*eri"ut-

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    9

    Masu""an &r%$insi "e ala# "%ta" :La*el Cases *y-; untu" #e

    na#a case  "e

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    =

    Kli" "%ta" :Pl%ts; se!in((a #un+ul "%ta" ial%( se&erti i *a0a!, Ce"%ta" :Den%(ra#; untu" #ena#&il"an en%(ra#, Setela! i

    :C%ntinue;

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    >

    Kli" "%ta" :Met!%; se!in((a #un+ul "%ta" ial%( se&erti i *a0a

    Paa Measure

      Inter$al' &ili! :Eu+liian Distan+e;' "e#uian &a Trans4%r# Value   istan+e' &ili! :8

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    ?

    Paa :Cluster Met!%;' tera&at tu)u! &ili!an #et%

    Ketu)u! #et%e a"an i(una"an satu

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    PROSES ANALISIS-MAHALANOBIS DISTANCE 7

    RSTUDIOUntu" &ersia&an' install  &a+"a(e ecoterle*i! a!ulu .&asti"an ter"%ninternet/, Untu" #en(

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    La"u"an i#&%#elalui #enu I#&%rt Dataset

     Tet ile .&astiyan( tersi#&an4%r#at ,+s$/ #un+ul "%ta" s

    *a0a!, Masu""aataset "e ala:Na#e;' "e#u:I#&%rt;,

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    Load  &a+"a(e e+%ist en(an #en(et:li*rary.e+%ist/; "e ala# )enela +%ns%le' "e#te"an enter,

    Bu"a ta* @R S+ri&t en(#ene"an CtrlS!i4tMasu""an "%e i sa#&"eala# "%ta" @R S+ran )alan"an .te"an Ctr

    &aa setia& line/, Set"ali a"an #en)alan&l%t.Ft/' salin %ut&ut &a

     )enela :Pl%ts; un#enyi#&an %ut

    terse*ut,

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    HASIL DANPEMBAHASAN

    Untu" #e#ili!

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    Untu" #e#ili! an )ara" ila"u"an &esi#&an(an *a"

    +luster #au&un+luster, Clusteryan( i!ara&"an

    si#&an(an *a"+luster se*esar en(an si#&an(ala# +luster #un("in,

    S#$#%%' RMG AN!M AH

    M$* 2='?? 9'?> ='>=

    M+%$* 2='9?6 =6'666 3'=6

    S3'3 ?'2=6 >'=2

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    EUCLIDIAN DISTANCE

     Den(an #en((una"an euclidian distance' ila"u"an ana+luster !ierar"i, Pe#ili!an )u#la! +luster iasar"an %le&er*eaan )ara" &eru*a!an +luster ter&an)an(,

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    2

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    3

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    4

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    AVERAGELINKAGEBETEEN

    GROUP

    S#$#%

    %' RMG AN!M,-/ 1M$* 29'533 9'556

    M+%$* 29'?6 9'66S 2'?> >'?>=,-/ 2M$* 2'2? =6'=5M+%$

    * 2'656 =6'666

    S 2'225 ='=35,-/ 3M$* 2?'?96 >?'6M+%$

    * 2?'?96 >?'6S < <S A, 3'33> '2?>

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    AVERAGELINKAGEITHIN GROUP

    S#$#%

    %' RMG A!NM,-/ 1M$* 23'9=3 93'95M+%$

    * 23'6=6 93'>6S 2'>= 9'6=,-/ 2M$* 2>'36 =2'>5M+%$

    * 2>'?66 =2'6S 3'>= 9'>3,-/ 3M$* 2?'?96 >?'6M+%$

    * 2?'?96 >?'6S < <S A, 2'55 '6=

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    URTHESTNEIGHBOR.COMPLETE

    LINKAGE/

    S#$#%&

    #%' RMG A!NM,-/ 1M$* 23'9=3 93'95M+%$

    * 23'6=6 93'>6S 2'>= 9'6=,-/ 2M$* 2'526 9'5=M+%$

    * 2'>6 9'926S 6'5=2 9'=63

    ,-/ 3M$* 2='?5 =3'9?=M+%$

    * 2='=>> =3'336S 2'?5 9'6?,-/ 4M$* 2?'?96 >?'6

    M+%$* 2? ?96 >? 6

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    NEARESTNEIGHBOR.SINGLE

    LINKAGE/

    S#$#%

    %' RMG A!NM,-/ 1M$* 2='?5 9'=56

    M+%$

    * 2='926 =6'666S 3'9 >'2>,-/ 2M$* 2?'956 3'256M+%$

    * 2?'956 3'256S < <,-/ 3M$* 2?'?96 >?'6 3M+%$

    * 2?'?96 >?'6 3S < <S A, 6'555 22'==6 2

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    MEDIANLINKAGE

    it! t!is #et!%' t!e t0% +lusters *ein(

    +%#*ine are 0ei(!te eJually in t!e

    +%#&utati%n %4 t!e +entr%i' re(arless

    %4 t!e nu#*er %4 +ases in ea+!,

     T!is all%0s s#all (r%u&s t% !a$e aneJual ee+t %n t!e +!ara+teri8ati%n %4

    lar(er +lusters int% 0!i+! t!ey are

    #er(e,

    S#$#%%' RMG A!NM

    ,-/ 1

    M$* 29'53? 9'3?

    M+%$* 29'> 95'6

    S 2'92 ='?>=

    ,-/ 2

    M$* 2'2? =6'=5M+%$* 2'656 =6'666

    S 2'225 ='=35

    ,-/ 3

    M$* 2?'956 3'256

    M+%$* 2?'956 3'256

    S < <

    ,-/ 4

    M$* 23'9>> ='6>M+%$* 23'9>> ='6>

    S 2'>9= 2'=3

    ,-/ 5

    M$* 2?'?96 >?'6

    M+%$* 2?'?96 >?'6

    S < <

    S A, 3'9= '==

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    CENTROIDLINKAGE

     T!is #et!% +al+ulates t!e istan+e

    *et0een t0% +lusters as t!e su# %4

    istan+es *et0een +luster #eans 4%r all

    %4 t!e $aria*les,

    In t!e +entr%i #et!%' t!e +entr%i %4 a

    #er(e +luster is a 0ei(!te

    +%#*inati%n %4 t!e +entr%is %4 t!e t0%ini$iual +lusters' 0!ere t!e 0ei(!ts

    are &r%&%rti%nal t% t!e si8es %4 t!e

    +lusters

    S#$#%&

    #%' RMG A!NM,-/ 1M$* 2='?2 9'33M+%$

    * 2='99> 9'>=>S 3'?33 >'>9,-/ 2M$* 36'96 =6'666M+%$

    * 36'96 =6'666S < <

    ,-/ 3M$* 26'>6 9>'6 2M+%$

    * 26'>6 9>'6 2S < <,-/ 4M$* 2?'?96 >?'6 3

    M+%$

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    ARD LINKAGE

    S#$#%&

    #%' RMG A!NM A,-/ 1

    M$*

    23'9=

    3

    93'9

    5 ='>

    M+%$*

    23'6=6

    93'>6 3'>

    S 2'>2 9'6= 9',-/ 2

    M$*

    2'2?

    =6'=

    5 ='>M+%$

    *

    2'65

    6

    =6'66

    6 9'3S 2'225 ='=35 9'>,-/ 3

    M$*

    2='=

    =3'6>

    2 9'6M+%$

    *

    2='99

    >

    =3'33

    6 3'2S 2'9? 9'56 3'>

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    PERBANDINGAN

     Di(una"an #et%eaverage linkage – withuntu" #e0a"ili

    Si#&an(an *a"u antar +luster +u"u&

    "e+il i*anin("an en(an si#&an(an

    *a"u ata,

    Met%e yan( )ustru #e#*uat si#&an(an

    *a"u ala# +luster #en)ai le*i! *esar

    tera&at &aa #et%e sin(le lin"a(e

    .&aa $aia*el rasi% #uri (uru/,

    Se+ara u#u#' si#&an(an *a"u antar

    +luster ari #et%e average linkage

    !it"in grou# aala! yan( ter*esar,

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    MAHALANOBIS DISTANCE

     Den(an #en((una"an $a"alano%is distance' ila"u"an anali+luster !ierar"i, Sa#a !alnya en(an #et%e en(an euclidiaistan+e' &e#ili!an )u#la! +luster ini )u(a iasar"an %le!&er*eaan )ara" &eru*a!an +luster ter&an)an(, Seluru! #et%yan( i(una"an yaitu en(an &er!itun(an !irar"i a(l%#erati4

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    2

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    Bayan("anaa (arisi#a)iner ini 3

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    Bayan("anaa (arisi#a)iner ini 4

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    SINGLELINKAGE

    S#$#%

    %' RMG A!NM,-/ 1

    M$* 2?'?96 >?'6 3M+%$

    * 2?'?96 >?'6 3S < <,-/ 2M$* 2?'956 3'256M+%$

    *

    2?'956 3'256

    S < <,-/ 3M$* 2='?5 9'=56M+%$

    * 2='926 =6'666S 3'=? >'65>

    S A, 6'555 22'==6 2

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    AVERAGELINKAGE

    S#$#%&

    #%' RMG A!NM,-/ 1

    M$* 2?'?96 >?'6M+%$

    * 2?'?96 >?'6S < <

    ,-/ 2M$* 29'=5> 93'>96M+%$

    * 29'=5> 93'>96

    S 3'> 9'9?6

    ,-/ 3M$* 2>'626 9'>M+%$

    * 2='99> =6'96S 3'52 >'22?

    S A, 2'3 26'39=

    S#$#%&

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    COMPLETELINKAGE

    S#$#%&

    #%' RMG A!NM A,-/ 1

    M$*

    2?'?9

    6

    >?'

    6

    3'3

    6

    M+%$*

    2?'?96

    >?'6

    3'36

    S < < <,-/ 2

    M$*

    29'9?

    =>'>=

    5 3'M+%$

    *

    29'?

    >

    =='==

    > 3'3>S 2'622 3'?92 3'2?,-/ 3

    M$*

    25'?5

    2

    =6'93

    2 9'9?M+%$

    *

    25'>9

    6

    =6'5

    6 3'39

    S 2'3> 9'9>5 3'6

    S#$#%&

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    ARD LINKAGE

    S#$#%&

    #%' RMG A!NM,-/ 1M$* 2?'?96 >?'6M+%$

    * 2?'?96 >?'6S < <,-/ 2M$* 29'9? =>'>=5M+%$

    * 29'?> =='==>S 2'622 3'?92,-/ 3M$* 23'>5 9>'>6M+%$

    * 23'>56 9>'?=6S 2'9> 9',-/ 4M$* 25'>5 9'>3>M+%$

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    PERBANDINGAN

     Di&ili! #et%ecomplete linkage (%/$$-/$#%).Untu" #e0a"ili

     Tera&at #et%e yan( )ustru #e#*uat

    si#&an(an *a"u ala# +luster #en)ai

    le*i! *esar' yaitu &aa #et%e single

    linkage .&aa $aia*el rasi% #uri (uru/

    an average linkage .)u(a &aa rasi%

    #uri (uru/,

    Se+ara u#u#' si#&an(an *a"u antar

    +luster ari #et%e single lingkage 

    aala! yan( ter*esar na#un si#&an(an

    *a"u ala# +lusternya +u"u& *esar,

    COMPLETE LIN.Ma!alan%

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    S#$#%

    %' RMG A!,-/ 1M$* 2?'?96 >?M+%$

    * 2?'?96 >?S <,-/ 2M$* 29'9? =>M+%$

    * 29'?> ==S 2'622 3',-/ 3

    M$* 25'?52 =6M+%$

    * 25'>96 =6S 2'3> 9',-/ 4M$* 23'56 9>M+%$

    * 23'?96 9>

    S 2'?52 ='

    S#$#%&

    #%' RMG A!NM AH

    ,-/ 1M$* 23'9=3 93'95 ='>3M+%$

    * 23'6=6 93'>6 ='>3S 2'>= 9'6= 9'6,-/ 2M$* 2>'36 =2'>5 9'>3>M+%$

    * 2>'?66 =2'6 3'396S 3'>= 9'>3 3'6>,-/ 3M$* 2?'?96 >?'6 3'336M+%$

    * 2?'?96 >?'6 3'336S < < <S A, 2'55 '6= 22'?

    .Ma!alan%Distan+e

    AVERAGE LINKAGEit!in Gr%u&

    .Eu+liian Distan+e/

    i&ili! #et%e

    completelinkage (mahalanobisdistance)untu"#en(el%#&%""an &r%$insi

    *erasar"an"iner)a&e#erinta! ise"t%r&enii"an ta!un362=,

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    PENUTUP

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    KESIMPULAN K-' 1- Pa&ua,

     K-' 2- Ke&ulauan Ban("Banten' Kali#antan Barat' Kali# Ten(a!' Kali#antan Selatan' a

     K-' 3- Su#atera Utara' Su#atera Selatan' La#&un(' D a0a Barat' a0a Ten(a!' a0a T Ten((ara Ti#ur' Sula0esi Utara Ten(a!' Malu"u' an Pa&ua Bar

     K-' 4- A+e!' Su#atera

    Ben("ulu' Ke&ulauan Riau' BenDI Y%(ya"arta' Bali' Nusa Ten((Kali#antan Ti#ur' Sula0esi SelSula0esi Ten((ara' Sula0esi BaMalu"u Utara,

    i&ili! #et%e

    complete linkage (mahalanobis

    distance)

    untu" #en(el%#&%""an &r%$insi

    *erasar"an "iner)a &e#erinta! i

    se"t%r &enii"an ta!un 362=,

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    SARAN  Dala# "asus ini' tia" !anya &aa #+%#&lete lin"a(e .#a!alan%*is ista*a!0a Pr%$insi Pa&ua #e#*entu" "eseniri' en(an an("a *uta !uru4 a

    &artisi&asi se"%la! yan( &alin( *uru"a(ar Pr%$insi Pa&ua #ena&at"an &e"!usus ari &e#erinta!,

     %"us "e*i)a"an yan( a&at i*eri"a"el%#&%" lainnya yaitu- Kel%#&%" 3 se*a(ai "el%#&%" en(an An(

    Murni SMA seera)at ter"e+il i!ara&"an le#enin("at"an an("a &artisi&asi terse*ut "#asi! "e+il,

    Kel%#&%" 9 se*a(ai "el%#&%" en(an rasiter*esar i!ara&"an untu" le*i! 4%"us #en(uru, Hal ini i#a"su"an a(ar &en(a0asa

    #uri a&at le*i! e4e"ti4,

    Kel%#&%" = se*a(ai "el%#&%" en(an an(

    ter*esar i!ara&"an untu" le*i! #enin("aasar ini, Se*a* "e#a#&uan *a+a tulis san#e#&en(aru!i "ualitas &enii"an suatu

    S#$#%%' RMG A!NM AH

    ,-/ 1

    M$* 2?'?96 >?'6 3'336

    M+%$* 2?'?96 >?'6 3'336

    S < < <

    ,-/ 2

    M$* 29'9? =>'>=5 3'3

    M+%$* 29'?> =='==> 3'3>6

    S 2'622 3'?92 3'2?3

    ,-/ 3

    M$* 25'?52 =6'932 9'9??M+%$* 25'>96 =6'56 3'396

    S 2'3> 9'9>5 3'62

    ,-/ 4

    M$* 23'56 9>'632 ='??

    M+%$* 23'?96 9>'96 3'>6

    S 2'?52 ='2 9'>=

    S A, 3'6>5 '63 22'65

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    MAKASIH,