8/16/2019 10.Chi Square

1/30

CHI SQUARE

BIOstatistik STIKES WgH

8/16/2019 10.Chi Square

2/30

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)

8/16/2019 10.Chi Square

3/30

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,

8/16/2019 10.Chi Square

4/30

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

8/16/2019 10.Chi Square

5/30

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

8/16/2019 10.Chi Square

6/30

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 

8/16/2019 10.Chi Square

7/30

:ugsi

A3 U-i I'epe'esi

B3 U-i H!,!geitas

C3 U-i ;!!'ess !+

8/16/2019 10.Chi Square

8/30

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 

8/16/2019 10.Chi Square

9/30

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 

8/16/2019 10.Chi Square

10/30

8/16/2019 10.Chi Square

11/30

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!

8/16/2019 10.Chi Square

12/30

 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

8/16/2019 10.Chi Square

13/30

 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

8/16/2019 10.Chi Square

14/30

 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)

8/16/2019 10.Chi Square

15/30

 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 

8/16/2019 10.Chi Square

16/30

 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 

8/16/2019 10.Chi Square

17/30

=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

8/16/2019 10.Chi Square

18/30

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

8/16/2019 10.Chi Square

19/30

8/16/2019 10.Chi Square

20/30

8/16/2019 10.Chi Square

21/30

 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 

8/16/2019 10.Chi Square

22/30

 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

8/16/2019 10.Chi Square

23/30

 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

8/16/2019 10.Chi Square

24/30

 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

8/16/2019 10.Chi Square

25/30

 9aaa (5)0

Fi"ai t!ta" 0 $ 6 G4%$ 4$% 4448 444$6 G 48&J

 9a'i i"ai u-i

8/16/2019 10.Chi Square

26/30

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

8/16/2019 10.Chi Square

27/30

Chi Square utuk U-iF!r,a"itas

8/16/2019 10.Chi Square

28/30

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

8/16/2019 10.Chi Square

29/30

Fi"ai #erseti" Utuk 1egkateg!rika

#erseti"&%

#erseti"

% #erseti"

$J

#erseti"6

8/16/2019 10.Chi Square

30/30

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"