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7/26/2019 X2 test
1/13
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 = $.$@= ."