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CHI SQUARE
BIOstatistik STIKES WgH
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Chi Square (I)
Diciptaka !"eh Kar" #ears! ($%&&) Serig 'iseut #ears!s Chi*Square Ber+ugsi utuk ,egu-i pere'aa
+rekuesi pa'a 'ata ska"a kateg!rik'ega ,e,a'igka atara i"ai
Oser.e' ('ia,ati) 'ega i"aiE/pecte' (harapa)
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Chi Square (II)
Dasar 'ari U-i Chi Square 0
1e,a'igka +rekuesi 2ag 'ia,ati'ega +rekuesi 2ag 'iharapka3
Apakah pere'aa itu cukup erarti(er,aka) atau ha2a karea +akt!rsa,pe"
C!t!h0 #a'a kasus ,e"a,ugka uag "!ga,
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Chi Square (III)
Hasi" #e"a,uga $44 / ,ata uag "!ga,
Koin O (Obs) E (Eksp) O – E (O – E)² (O –E)²/E
Head 40 50 -10 100 2
Tail 60 50 10 100 2
Jumla 100 100 0 200 4
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Chi Square (I5)
S2arat U-i Chi Square
• Ti'ak !"eh a'a se" 2ag i"ai harapa "eihkeci" 'ari $ (satu)
• Ti'ak "eih 'ari 647 se" ,e,pu2ai i"aiharapa "eih keci" 'ari 8 ("i,a)
9ika ti'ak terpeuhi ,aka .ariae" isa 'iturukakateg!ri2a atau 'iguaka U-i :ishers E/act
∑ −
=
i
ii
E
E O 2
2 )( χ
Ru,us U,u, 0
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Chi Square (5)
Utuk Tae" 6 / 6 'iguaka Ru,us 0
!espon"Kelompok
Kasus Kon#$ol Jumla
%da (&) a b a & b
Tidak (-) ' d ' & d
Jumla a & ' b & d a & b & '& d
))()()((
)( 22
d cbad bca
bcad N
++++
−∗
= χ
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:ugsi
A3 U-i I'epe'esi
B3 U-i H!,!geitas
C3 U-i ;!!'ess !+
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A3 U-i I'epe'esi
Utuk ,egu-i a'a ti'ak2a as!siasiatara 6 .ariae"
H! 0 ti'ak a'a huuga
Ha 0 a'a huuga
Ru,us 2ag 'iguaka0
∑ −
=
E
E Oii
22 )(
χ
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B3 U-i H!,!geitas
Utuk ,egu-i apakah suatu ke"!,p!kh!,!ge (h!,!geitas atarsuke"!,p!k)
H! 0 Ti'ak a'a pere'aa Ha 0 A'a pere'aa
Ru,us 2ag 'iguaka0
∑ −
=
E
E Oii
22 )(
χ
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C!t!h S!a" 0
#ee"itia tetag sikap =aki*"aki 'a#ere,pua terha'ap >kesetaraa =aki*"aki'a #ere,pua?3
Data 0 =aki*=aki@ Setu-u 4 Ti'ak Setu-u 4
#ere,pua@ Setu-u 8 Ti'ak Setu-u 88
U-i"ah apakah ter'apat pere'aa sikapterha'ap per2ataa terseut 'ega α =0,05!
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9aaa (I)0
Jenis"ikap e#uu Tidake#uu
Jumla
*aki-laki 4 (a) 4 () $44
+e$empua
n
8 (c) 88 (') $44
Jumla 8 $68 644
1ecari Fi"ai E/pecte' setiap se" (a c ') a'a"ah0
Total Jumlah
kolomSubtotal barisSubtotal
E _
_ _ ×=
a G ($448)644 G 8 G($44$68)644GJ68
c G ($448)644 G 8 'G$44$68 644GJ6 8
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9aaa (II)0
Cara Cepat ,ecari i"ai e/pecte' 0
$3 =ihat D+ ((B*$)(K*$)) i"ai '+ aka ,e-a'i pat!kaerapa i"ai e/pecte' (E) 2ag harus 'icari,egguaka Ru,us E3
63 9ika te"ah ,e'apat i"ai E sesuai '+ ,aka i"ai E2ag "ai isa 'icari 'ega ,eguragka i"ai sut!ta" arisk!"!, 'ega i"ai E 2ag te"ah 'i'apat3
Jenis"ikap e#uu Tidake#uu
Jumla
*aki-laki 4 (8) 4 (J68) $44
+e$empuan 8 (8) 88 (J68) $44
Jumla 8 $68 644
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9aaa (III)0
Jenis"ikap e#uu Tidake#uu
Jumla
*aki-laki 4 (8) 4 (J68) $44
+e$empuan8 (8) 88 (J68) $44
Jumla 8 $68 644
S2arat U-i Chi Square 0• Ti'ak a'a se" 2ag i"ai harapa
"eih keci" 'ari $ (satu)• Ti'ak a'a se" ,e,pu2ai i"ai
harapa "eih keci" 'ari 8 ("i,a)
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9aaa (I5)0 Besar2a ² :
Df = (b-1)(k-1) = (2-1)(2-1)=1
Tabel ² df 1 untuk α 0,05 adalah 3,841
( ) ( ) ( ) ( )
8,4
5,62
5,6255
5,37
5,3745
5,62
5,6270
5,37
5,3730
2
2222
2
=
−+
−+
−+
−=
χ
χ
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9aaa (5) 0 Karea tae" 6 / 6 ,aka isa
,egguaka ru,us 0
8,4
)5545)(7030)(5570)(4530(
)70*4555*30(200
))()()((
)(
2
22
22
=
++++
−∗=
++++
−∗
=
χ
χ
χ d cbad bca
bcad N
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=atiha S!a" 0
#e'i'ika #er!k!
k
Ti'ak
,er!k!k
T!ta"
T'k Sek!"ah & $J 68SD $8 $ 6S1# $6 $6 6S1A $ % &
#T 4 $4 $4 T!ta" J $44
#ee"itia terha'ap tigkat pe'i'ika 'a status ,er!k!k 0
Dega ,e,akai L G 448 apakah kesi,pu"apee"iti terha'ap 'ata 'iatasM
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U-i :isher E/act (I)
U-i 2ag 'iguaka apai"a s2arat u-i chisquare ti'ak terpeuhi 'a tae" su'ah
ti'ak isa 'ikeci"ka "agi kateg!ri2a3 Turuka i"ai pa'a se" terkeci" higga -a'i !" 'ega i"ai ,argi (i"ai sut!ta" 'a t!ta") tetap tiap ka"i
'ituruka hitug i"ai
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9aaa (I)0
Hipertesi
;e'er
a Ti'ak T!ta"
=aki*"aki A B %
#ere,pua C D T!ta" % $8
EA G(%)$8G EBG6
ECG6 EDG
Karea se,ua se" EP8,aka ,egguaka
:isher E/act
381,0!15!4!3!4!4
!8!7!7!81 == ρ
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9aaa (II)0
Hipertesi
;e'er
a Ti'ak T!ta"
=aki*"aki 8 %#ere,pua 6 8
T!ta" % $8
183,0!15!5!2!3!5
!8!7!7!82 == ρ
Tae" Turua $3
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9aaa (III)0
Hipertesi
;e'er
a Ti'ak T!ta"
=aki*"aki J 6 %#ere,pua $ J
T!ta" % $8
0305,0!15!6!1!2!6
!8!7!7!83 == ρ
Tae" Turua 63
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9aaa (I5)0
Hipertesi
;e'er
a Ti'ak T!ta"
=aki*"aki $ %#ere,pua 4
T!ta" % $8
00124,0!15!7!0!1!7
!8!7!7!84 == ρ
Tae" Turua 3
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9aaa (5)0
Fi"ai t!ta" 0 $ 6 G4%$ 4$% 4448 444$6 G 48&J
9a'i i"ai u-i
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S!a" =atiha0
O"ahraga
;e'er a Ti'ak T!ta"
=aki*"aki J $4
#ere,pua 6 J %
T!ta" % $4 $%
Buktika apakah a'a pere'aa pr!p!rsi "aki*"aki'a pere,pua 2ag ,e2ukai !"ahraga pa'aαG448
Chi S k U-i
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Chi Square utuk U-iF!r,a"itas
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Kateg!ri Sk!r Ber'asar Kur.a F!r,a"
Ka#e,o$i Jumla
Sagat Re'ah 6 7
Re'ah $ 7Se'ag J% 7
Tiggi $ 7
Sagat Tiggi 6 7
T!ta" $44 7
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Fi"ai #erseti" Utuk 1egkateg!rika
#erseti"&%
#erseti"
% #erseti"
$J
#erseti"6
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C!t!h S!a"
24 12 12 13 10
2 1 15 15 10 14
30 1 14 13 20 12
1" 1" 14 1" 15
18 22 23 23 25 2"