X2 test

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    ANALISIS DATA KUALITATIFX2test

    Dr. Sunarjo, dr, MS, MSc

    Departemen IKM-KP FK Unair

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    X2test

    = Chi - Suare

    = Kai -Kuadrat

    Kar! Pearson th "#$$

    Untu% data &re%uensi 'Count( dari data %ate)ori 'tida% untu% * atau

    proporsi(

    D++ K+/0II. SK+1+ PUKU0+ /MI+1 3

    L P

    A

    B

    O

    AB

    SX

    ta4e! - %ontin)ensi 3

    r 5 c

    o! - darah

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    2. /0DI+1

    STD - Ca

    I II III

    Rendah

    Sedang

    Tinggi

    % - e%

    6. I70 --8 data %ate)oriBSN

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    KU++

    ". MU:I KSSU+I+ 3

    'oodness o& Fit test( &re%uensi empiri% 7 hasi!pen)amatan sampe! ;s &re%uensi

    teoriti%7diharap%an 'e5pected(di popu!asi

    2. M++1ISIS

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    Prinsip +na!isis 3

    Mem4andin)%an &o;s &e--8 = X2

    dst...X2e

    22e2O

    1e

    21e1O

    f

    )ff(

    f

    )ff(2++=

    = 2

    22

    )X(2Z

    di i!hami

    =ije

    2ijeijO

    f

    )ff(2X

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    C+++ 3

    ". X2= / 'no!( --8 mun)%in tapi jaran)

    &o= &e--8 tida% cu%up 4u%ti meno!a%

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    a4e! Kontin)ensi 2 5 2 3

    >aria4e! +

    I II

    #a$ia%e& B

    I a % a ' %

    II ( d ( ' d

    a ' ( % ' d a ' %

    ' ( 'd )N

    N

    )ba)(ca(

    eaf ++=

    N

    )ba)(db(

    eaf ++=

    N

    )dc)(ca(

    eaf ++=

    N

    )dc)(db(

    eaf

    ++

    =

    e 4

    ec

    ed

    Kate)ori

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    ta4e! 2 5 2 3

    )db)(ca)(dc)(ba(

    )bcad(N2 2

    X ++++

    =

    P0S?+0++ X2test 3

    0u!e o& the thum4 'Cochran "#@A( --8 ter%aitsamp!e siBe 3

    ". ida% ada &e" di semua se! 'no cell should

    have an expected frequency less than 1(

    2. Se!-se! den)an &e @ tida% 4o!eh me!e4ihi

    2$ * dari semua se!

    'no more than 20 percent of the cells should

    have an expected frequency of less than 5

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    Kedua sarat harus dipenuhi

    - 9i!a sarat tida% dipenuhi --8 )a4un)%an den)an

    se! 7 %ate)ori an) 4erdampin)an --8 &e

    3 8

    'Cochran( --8 asa! %ate)ori 4aru mempunai +0I.

    - Pen))a4un)an 7 penederhanaan sampai ta4e! 2 5

    2 --8 sarat 4e!um terpenuhi --8 FisherEs 5act

    Pro4a4i!it est 'Fisher "#6(

    6. D.F 3

    DF = r - " --8 )oodness o& &it test

    DF = 'r - "('c - "( --8 X2%omparasi X2%ore!asi

    DF ma%in 4esar --8 ni!ai tit% %ritis menin)%at

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    =

    =e

    2eo

    f

    )N5.0ff(2

    1DFcorr

    X

    )db)(ca)(dc)(ba(

    )N5.0bcad(N2

    corr

    2X ++++

    =

    A. K

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    K/MP+0+SI S+MP1 - P/PU1+SI

    '//DSS o& FI S X2(

    Kasus

    Pene!itian )o!on)an darah pada "$$ oran),hasi!

    + = 2$ oran), 9 = "@, +9 = @ H / = $

    Di%etahui se4aran di popu!asi 3

    / = @$ *, + = 2$ *, 9 =2$ * H +9 = "$ *

    +pa hasi! pene!itian terse4ut sesuai den)andistri4usi di popu!asi J

    = $.$@

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    U:I K/MP+0+SI X2

    Ca &a*% U&( Pe+t

    A 5 /"

    B 5 2"

    O 5 5

    AB 1" 05

    1"" 1""

    o!- darah

    +pa%ah terdapat per4edaan distri4usi )o! - darah

    antara %e!ompo% Ca !am4un) dan UP J

    X2= @.62 L @.62 L A.@ L A.@ L $ L $ L A L A

    = 2.@2

    X2ta4e! G DF = 6 G = $.$@= ."