ANOVA TWO WAY

 

ANAVA TWO WAY

 

Sumber Varians : Total, Antar A, Antar B, Interaksi A B, Dalam

Setiap Sumber varians akan dihitung JK, db, RJK, Fo

 

A. Jumlah Kuadrat masing-masing :

 

1.

2.

 

3.

4. – JK(A) – JK(B)

 

5. )

 

B. Derajat Kebebasan db :

 

  1. db(T) = nt -1
  2. db(A) = a -1
  3. db(B) = b -1
  4. db(AB) = (a -1)( b -1)
  5. db(D) = nt –ab

 

C. RJK masing- masing :

 

  1. RJK(T) = JK(T)/ db(T)
  2. RJK(A) = JK(A)/ db(A)
  3. RJK(B) = JK(B)/ db(B)
  4. RJK(AB) = JK(AB)/ db(AB)

 

D. Menghitung nilai Fo :

 

1. Fo(A) = RJK (A) / RJK(D)

2. Fo(B) = RJK (B) / RJK(D)

3. Fo(AB) = RJK (AB) / RJK(D)

 

Contoh :

 

A = Metode Pembelajaran ( A1= Met.Diskusi ; A2 = Ekspositori )

B = Gaya Kognitif ( B1 = Independent ; B2 = Dependent )

 

 

 

 

 

 

 

 

 

Disain Faktorial 2 x 2

 

 

 

Metode Pembelajaran

åYb

Met Dis

(A1)

Ekspositori (A2)

Independen

(B1)

Y11

Y21

Y*1

dependen (B2)

Y12

Y22

Y*2

åYa

Y1*

Y*2

Y**

 

 

Data :

   

A

B

B1

A1

A2

9 8

7 6

9 7

7 6

9 7

7 6

8 7

7 5

8 7

6 5

8 6

6 5

 

6 4

B2

8 6

9 7

8 6

9 7

8 6

8 7

8 6

8 6

7 5

8 6

7 5

8 6

7 5

7 6

7 5

 

 

 

 

 

 

 

 

A1B1

A2B1

A1B2

A2B2

n

12

14

16

14

56

93

83

104

102

382

731

503

696

758

2688

10,25

10,93

20

14,857

56,037

7,75

5,93

6,5

7,286

 

 

1. Menghitng JK

= 2688 – (3822 : 56) = 82,214

= (1972:28) + (1852:28) – (3822 : 56) = 2,571

= (1762:26) + (2062:30) – (3822 : 56) = 0,132

-JK(A) – JK(B) = 2,571 – 0,132 = ( 932:12) +

( 832:14) + ( 1042:16) + ( 1022:14) –

(3822 : 56) – 2,571 – 0,132 = 23,476

) = {731- (932 : 12)} +{503- ( 832:14) } +

{696 – ( 1042:16)} + {758 – ( 1022:14)} = 56,037

 

2. Menghitung RJK :

 

  1. RJK(D) = JK(T)/ db(D) = 56,037
    : 52 = 1,0776
  1. RJK(A) = JK(A)/ db(A) = 2,571 : 1 = 2,571
  1. RJK(B) = JK(B)/ db(B) = 0,132 : 1 = 0,132
  2. RJK(AB) = JK(AB)/ db(AB) = 23,476 : 1 = 23,476

 

3. Menentukan Derajat Kebebasan (db ):

 

  1. db(T) = nt -1 = 56 – 1 = 55
  2. db(A) = a -1 = 2 – 1 = 1
  3. db(B) = b -1 = 2 – 1 = 1
  4. db(AB) = (a -1)( b -1) = (2 -1)( 2 -1) = 1
  5. db(D) = nt –ab = 56 – 2×2 = 52

 

 

4. Menghitung nilai Fo :

 

1. Fo(A) = RJK (A) / RJK(D) = 2,571 : 1,0776 = 2,386

2. Fo(B) = RJK (B) / RJK(D) = 0,132 : 1,0776 = 0,122

3. Fo(AB) = RJK (AB) / RJK(D) = 23,476 : 1,0776 = 21,785

 

5. menentukan table Sumber Varians

 

Sumber

Varians

db

JK

RJK

(s2)

Fhitung

Ftabel

0,05

0,01

Antar A

1

2,571

2,571

2,386

4,03

7,17

Antar B

1

0,132

0,132

0,122

Interaksi AB

1

23,476

23,476

21,785

Dalam (D)

52

56,037

1,0776

Total (T)

55

82,214

 

6. Pengujian

 

4,03

 

7,17

F. Uji Lanjut, dengan Uji t

 

t tabel(0,05; n-m-a)= 1,645

to = ׀
׀ /

 

1. Uji A1B1 dan A2B1 :

 

to = 7,75 – 5,93
/ =
4,457 ( Hipotesis 3)

 

2. Uji A2B1 dan A2B2 :

to = 7,28 – 5,93
/ =
3,441

 

3. Uji A1B2 dan A2B2 :

to = 7,28 – 6,5
/ =
3,131

 

4. Uji A1B1 dan A1B2 :

to = 7,75 – 6,5
/ =
3,153

Kesimpulan :

1.
µA1 = µA2

2. µB1 = µB2

3. A x B ≠ 0

 

4. µA1B1 > µA2B1

5. µA1B2 < µA2B2

6. µA1B1 > µA1B2

7. µA2B1 < µA2B2

Tinggalkan Balasan

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