2. H a sil S im u la si C A T
H a s i l s i m u l a s i C A T d a r i p e s e r t a t e s b e r k e m a m p u a n r e n d a h d i t u n j u k k a n d a l a m T a b e l 2 . H a s i l p e n g o l a h a n d a t a T a b e l 2 s e c a r a g r a f i k m e m p e r o l e h r i w a y a t
h a s i l p e s e r t a t e s s e p e r t i d i t u n j u k k a n p a d a G a m b a r 5 . P a d a s i m u l a s i t e r s e b u t m u l a - m u l a p e s e r t a t e s d i a n g g a p m e m p u n y a i t i n g k a t k e m a m p u a n a w a l n y a
6
a w a l s e d a n g 0 a w a l = 0 d a n d i b e r i s o a l d e n g a n t i n g k a t k e s u l i t a n a w a l y a n g s e d a n g
p u l a b a w a l = 0 . P e s e r t a t e s d i b e r i k e s e m p a t a n u n t u k m e n j a w a b s o a l d e n g a n a l o k a s i w a k t u t e r t e n t u . B e r d a s a r k a n j a w a b a n y a n g d i b e r i k a n p e s e r t a t e s , k e m u d i a n
d i h i t u n g : k e m a m p u a n 0 p e s e r t a t e s s e t e l a h m e n j a w a b b u t i r s o a l , p r o b a b i l i t a s m e n j a w a b b e n a r b e r d a s a r k a n k e m a m p u a n t e r s e b u t P 0 , p r o b a b i l i t a s m e n j a w a b
s a l a h Q 0 , f u n g s i i n f o r m a s i b u t i r £ 0 , k e s a l a h a n b a k u
SE 6
, d a n h a r g a m u t l a k s e l i s i h k e s a l a h a n b a k u a n t a r p e n y a j i a n s o a l.
K a r e n a j a w a b a n p e r t a n y a a n p e r t a m a s a l a h , y a i t u d i t a n d a i d e n g a n s k o r j a w a b a n = 0 , m a k a p a d a p u t a r a n k e d u a p e s e r t a d i b e r i s o a l y a n g l e b i h m u d a h , y a i t u
d e n g a n t i n g k a t k e s u l i t a n - 0 ,4 5 . S o a l k e d u a i n i t e r n y a t a d a p a t d i j a w a b d e n g a n b e n a r . M e n g g u n a k a n r u m u s - r u m u s y a n g t e l a h d i k e m u k a k a n m a k a d a p a t d i h i t u n g
k e m b a l i : k e m a m p u a n 0 p e s e r t a t e s s e t e l a h m e n j a w a b b u t i r s o a l , p r o b a b i l i t a s m e n j a w a b b e n a r b e r d a s a r k a n k e m a m p u a n t e r s e b u t P 0 , p r o b a b i l i t a s m e n j a w a b
s a l a h Q 0 , f u n g s i i n f o r m a s i b u t i r £ 0 , k e s a l a h a n b a k u
SE 6
, d a n h a r g a m u t l a k s e l i s i h k e s a l a h a n b a k u a n t a r p e n y a j i a n s o a l.
T a b e l 2 . H a s i l S i m u l a s i C A T p a d a S i s w a B e r k e m a m p u a n R e n d a h
N o . K o d e
B u t i r D a y a
B e d a T i n g k a t
K e s u l i t a n T e b a k a n
S k o r J a w a b a n
e
A w a l
e
S e t e l a h J a w a b
P 6
Q0 -
i - P 6 IIF
SE
6
S e li s i h SE
A n t a r I t e r a s i
1 93
0 .1 3 0 .3
0 .0 0 0 .0 0
0 .5 0 0 .5 0
0 .2 5 2 .0 0
2 .0 0 2
87 0 .61
- 0 . 4 5 0 .81
1 0 .0 0
- 0 . 4 5 0 .5 0
0 .5 0 0 .2 5
1.41 0 .5 9
3 6
0 .6 - 0 . 2 5
0 .1 3 - 0 . 4 5
- 0 . 4 5 0 .5 8
0 .4 2 0 .2 4
1 .16 0 .2 5
4 63
0 .9 1 - 0 . 0 5
0 .5 5 1
- 0 . 4 5 - 0 .0 5
0 .5 0 0 .5 0
0 .2 5 1 .00
0 .1 6 5
6 9 1.3 7
0 .1 5 0 .7 1
1 - 0 . 0 5
0 .1 5 0 .5 0
0 .5 0 0 .2 5
0 .9 0 0 .1 1
6 83
0 .9 5 0 .3 5
0.1 1
0 .1 5 0 .3 5
0 .5 0 0 .5 0
0 .2 5 0 .8 2
0 .0 8 7
88 1 .36
0 .5 5 0 .3 9
0 .3 5 0 .3 5
0 .5 8 0 .4 2
0 .2 4 0 .7 6
0 .0 6 8
7 6 1 .67
0 .7 5 0 .1 1
0 .3 5 0 .3 5
0 .6 6 0 .3 4
0 .2 2 0 .7 1
0 .0 4 9
86 1.7 9
0 .9 5 0 .2 6
0 .3 5 0 .3 5
0 .7 3 0 .2 7
0 .1 9 0 .6 8
0 .0 3 10
2 8 0 .4 9
1.15 0 .5 5
0 .3 5 0 .3 5
0 .8 0 0 .2 0
0 .1 6 0 .6 7
0 .0 1
P e n y a j i a n s o a l d a n p e r h i t u n g a n t e r s e b u t d i u l a n g - u l a n g s a m p a i a k h i r n y a
stopping rule
t e r c a p a i , y a i t u h a r g a a b s o l u t s e l i s i h S E a n t a r i t e r a s i s a n g a t k e c i l = 0 , 0 1 a t a u s o a l h a b i s . K e m a m p u a n a k h i r p e s e r t a t e s a d a l a h k e m a m p u a n t e r t i n g g i
d a r i j a w a b a n s o a l y a n g b e n a r . H a s i l p e n g o l a h a n a n g k a d a r i T a b e l 2 s e c a r a g r a f i s d i t u n j u k k a n p a d a G a m b a r 5 .
11
R iw a y a t Hasil Tes P eserta
2.50 p
r n
“ 1 .5 0
\
1.00 \
a \
5 0 .5 0 — ■
00
-0 .5 0
1.00
K — ~ y 11 ■ m
V
i
S 7 9
■ 9 Se t e l a h Ja w a b -Se l i s i h SE An t a r Iter asi
Soal K e ...
G a m b a r 5 . R i w a y a t H a s i l T e s P e s e r t a C A T B e r k e m a m p u a n R e n d a h H a s i l s i m u l a s i C A T d a r i p e s e r t a t e s b e r k e m a m p u a n t i n g g i d i t u n j u k k a n
d a l a m T a b e l 3 . C a r a p e r h i t u n g a n a n g k a - a n g k a y a n g a d a d a l a m k o l o m d a r i t a b e l t e r s e b u t s a m a d e n g a n c a r a p e r h i t u n g a n y a n g d i g u n a k a n s i m u l a s i C A T d e n g a n
p e s e r t a t e s b e r k e m a m p u a n r e n d a h . P e n g o l a h a n d a t a s e c a r a g r a f i k a n g k a - a n g k a y a n g a d a d i T a b e l 3 d i t u n j u k k a n p a d a G a m b a r 6 . G a m b a r 6 m e n u n j u k k a n b a h w a
u n t u k l i m a k a l i p e s e r t a m e n j a w a b s a l a h e s t i m a s i k e m a m p u a n p e s e r t a t e s s u d a h k o n v e r g e n .
H a s i l C B T m a u p u n C A T d a r i s i m u l a s i i n i m e n y i m p a n d a t a j a w a b a n b e n a r a t a u s a l a h d a r i p e s e r t a t e s u n t u k s e t i a p b u t i r y a n g d i k e r j a k a n . K a r e n a s e t i a p b u t i r
s o a l m e m p u n y a i k o d e b u t i r d a n b u t i r t e r s e b u t m e m p u n y a i r e l a s i s e c a r a l a n g s u n g d e n g a n i n d i k a t o r d a n t i d a k l a n g s u n g d e n g a n K D d a n S K , m a k a s e h a r u s n y a j u m l a h
s o a l d e n g a n i n d i k a t o r t e r t e n t u y a n g d i j a w a b b e n a r a t a u d i j a w a b s a l a h o l e h p e s e r t a t e s d a p a t d i k e t a h u i . D e n g a n d e m i k i a n s i s t e m i n i j u g a d a p a t d i g u n a k a n u n t u k
d i a g n o s t i k e s u l i t a n b e l a j a r s i s w a . T a b e l 3 . H a s i l S i m u l a s i C A T p a d a S i s w a B e r
N o . K o d e B u t i r
D a y a B e d a T i n g k a t
K e s u l i t a n T e b a k a n
S k o r J a w a b a n
e
A w a l
e
S e t e l a h J a w a b
P i 0
Q0= 1-P0
IIF S E 0
S e li s i h SE
A n t a r I t e r a s i
1 55
0.29 0.14
1 0.00
0.00 0.50
0.50 0.25
2.00 2.00
2 70
1.37 0.5
0.75 1
0.00 0.50
0.50 0.50
0.25 1.41
0.59 3
74 0.78
1 0.02
1 0.50
1.00 0.50
0.50 0.25
1.15 0.26
4
19 1.18
1.5 0.4
1 1.00
1.50 0.50
0.50 0.25
1.00 0.15
5
65 0.89
2 0.55
1 1.50
2.00 0.50
0.50 0.25
0.89 0.11
6 4
1.9 2.5
0.44 1
2.00 2.50
0.50 0.50
0.25 0.82
0.08
7
3 0.02
3 0.43
1 2.50
3.00 0.50
0.50 0.25
0.76 0.06
8 47
0.27 3.5
0.01 1
3.00 3.50
0.50 0.50
0.25 0.71
0.05 9
12 0.48
4
0.16 1
3.50 4.00
0.50 0.50
0.25 0.67
0.04 10
70 1.78
4.5 0.52
4.00 4.00
0.70 0.30
0.21 0.64
0.03 11
19 0.35
5
0.16 4.00
4.00 0.85
0.15 0.13
0.62 0.02
12 50
1.09
5 . 5
0.24 4.00
4.00 0.93
0.07 0.07
0.61 0.01
13 25
1.21 6
0.27 4.00
4.00 0.97
0.03 0.03
0.61 0.00
14 98
0.65 6.5
0.61 4.00
4.00 0.99
0.01 0.01
0.61 0.00
c e m a m p u a n T i n g g i
12
R iw ayat Hasii Tes P eser ta
9 Setelah Jawab Selisih SE A ntar
Ite rasi
G a m b a r 6 . R i w a y a t H a s i l T e s P e s e r t a C A T B e r k e m a m p u a n T i n g g i
3. H a s il P e n g e m b a n g a n P e r a n g k a t L u n a k