Contoh kasus untuk Tabel Kontingensi 2x2:

  χ PEMILIHAN UJI STATISTIK UNIVARIAT / BIVARIAT Macam Jenis variabel Jumlah sampel Nominal / Rasio-Interval Ordinal Tujuan (bebas / sampel /

  / kategorik pop. berdistribusi Rasio-Interval berpasangan) uji pasangan normal distrib. tak normal Bebas Uji t 2 sampel ~ Uji Mann- ~ Uji khi- (independent) bebas Whitney kuadrat _{~ ~}

  Uji jumlah Uji eksak dari peringkat dari Fisher

  Berpasangan Uji t sampel Uji peringkat Uji McNemar (related/paired) berpasangan bertanda dari (u/ kategori

  Komparasi Wilcoxon dikotomik)

  /perbedaan

Bebas Anava 1 arah Uji Kruskall-Wallis Uji khi-kuadrat

  > 2 Berpasangan Anava u/ subyek Uji Friedman Uji Cochran's Q _{(related/paired)} yg sama (u/ kategori _{~ Korelasi dari ~ Korelasi dari ~ Koefisien} dikotomik)

  Korelasi Pearson (r) Spearman (r ) Kontingensi (C)

_{~ ~ ~}

_s (Regresi) Asosiasi Kappa Koefisien Phi (κ)

  ! " # # "

  $ # " " $ # # % #& ' " # % " # # ( ) *+&

  ' " # # ' " # ) ' " # ) ' ' , , , ,

  .

  " ,

• / , , # , , ! " # # "

  12 " # " # , , 3456

  7 ' " # ) 8 " " # "

  

7

% # & / 9 : ; ,

  8 : 1 " < , " 6 $ =0 ; ,

  /8 = ; " < , "

  6 . #

  56

  8 > ? 8 ' " "

  7 , " " /

  > ?

  5

  8 " "

  7 , "

  " /

  11

  5D

  1

  

1

  N n n E

  E j i ij

  EF! " G N n n

  B #

  55 &

  55 %3

  & E

  

5

  %3

  5

  E

  & /

  6 / " #

  5

  %3

  5

  E %3 & E

  D

  B #

  8 D D5

  A6 ? !

  "

  " $ "

  5 C B # '

  5A B # =0 A = / :

  500 5@

  8

• =
• =

  $ " ' B # "

  = < @<: : /

  =0

  0<: @< B #

  5A 5@ 500

  80 • • 136

  80

  19 E = = 70 ,

  2 E = = 9 ,

  8

  11

  12

  155 155 75 • • 136

  75

  19 E = = 65 ,

  8 E = = 9 ,

  2

  21

  22

  155 155

  C6 . ,

  8 " # ( ) +8

  ! " " #$%& % " # ) 8 5 #F 01H 1& / # # , , # 340<

  " # # <

  

6

  # , #

  3H0< , < " #

  I '

  χ % χ χ χ χ 06 ? # &8

  ! χ

  " # ) , -

  

8

  2 O − E − ,

  5 ( ) ij ij

  2 ∑ χ =

  E ij

  2 N O O − O O , • −

• 2

  5 N ( )

  11

  22

  12

  21 χ = ( n ) ( n ) ( n ) ( n ) • • •

  1

  2

  1

+ 2 + + +

  χ

  5A B # =0 A = / :

  α α α α & F 01 % < 0&<

  8 ' χ 8 %

  χ χ χ χ '

  6 . " # χ # χ

  " $ "

  5 C B # '

  500 5@

  8 786 ,

  = χ

  2 = − −

  2

  16 3 . 155 64 .(|

  ( 5 , | 72 .

  80 ) 155 ).

  7 136 . 19 . 75 .

  () * & + * F% 5&6% 5&F5

  ,#- ,

  11.14

  6.25

  7.81

  9.35

  11.3

  12.8

  16.3

  4

  5.39

  7.78

  9.49

  13.3

  3

  14.9

  18.5

  5

  6.63

  9.24

  11.07

  12.83

  15.1

  16.7

  20.5

  6

  4.11

  13.8

  10.64

  1.32

  ' χ χ χ χ

  8 χ χ χ χ

  8

  " #

  df χ

  0.25 Tingkat kemaknaan (α)

  0.10

  0.05

  0.001 0.005 0.01 0.025

  1

  2.71

  10.6

  3.84

  5.02

  6.6

  7.9

  10.8

  2

  2.77

  4.61

  5.99

  7.38

  9.2

  7.84

  12.59

  32.9

  17.28

  10

  12.55

  15.99

  18.31

  20.48

  23.2

  25.2

  29.6

  11

  13.70

  19.68

  23.6

  21.92

  24.7

  26.8

  31.3

  12

  14.85

  18.55

  21.03

  23.34

  26.2

  28.3

  27.9

  21.7

  14.45

  24.3

  16.8

  18.5

  22.5

  7

  9.04

  12.02

  14.07

  16.01

  18.5

  20.3

  8

  19.02

  10.22

  13.36

  15.51

  17.53

  20.1

  22.0

  26.1

  9

  11.39

  14.68

  16.92

  ' ) ./01

  =6 ? # J #

  8 < " # 8

  ' ' χ χ χ χ 2 χ χ χ χ

  ! $ " # , 8

  " < " # 8 ' '

  χ χ χ χ $) χ χ χ χ !

  ? # J #

  8 χ %=<=: & H χ %A<:C5&<

" #

  8

  

6

#

  8 " "

  7 / 2 #

  8 " " , "

  "

  7

  6

  ' " # ) ' " # # ' " # ) ' " # )

  ' ' , , , , .

  " ,

• / , , # , , ! " # # "

  12 " # " # , , 3456

  # χ %

&

  8 ij ^{ij ij}

• − = − =
• −

  E E O E E O E E O Expected Expected Observed ² ₁₂ ² ₁₂

₁₂

₁₁ ² _{11 11} ² ₂

  ) ( ... ) ( ) ( ) (

  −

  ∑ χ

  $,

  8 56 / , , # , , ! " # # "

  16 6 ' " # " # , , 3456 / # , < " # # " K

  7 ' " # ) 8 $ G #

  5 C < " 6 ' G

  " " " " " % 9 < &

  ' " # " "

  8 %! " G FE& 9 9 % & 9 %D& B # $ "

  $ A@ C@ :: $

  5C

  9

  5 B # 0@

  5 C F3 9 % &

9 %D& B #

$ C <5A C5<:= ::

  $ 5 <C: @<0 9 :<A@ =< 5

  5 B # 0@

  5 C / , , # , , 340 # 1 % &< " # ,

  8 χ _{2 2 2 2} ( O − E ) _{2 ( Observed − Expected )}

( O − E ) ( O − E ) ij ij

_{11 11 12 12}

  χ + + = = ...

• Expected E E E
_{11 12 ij}

  ∑

  2

  2

  2 ( 39 − 46 , 13 ) ( 49 − 41 , 87 ) ( 4 − 7 , 61 )

  2 χ = ... = 8 , + 06 + + 46 ,

  13 41 ,

  87 7 ,

  61 " #8 χ

  χ " # χ 8

α α α α

  % & F 01 % < 0&< () * & + * F%A 5&6% 5&F 65F

  ,#- ,

  5.39

  10.6

  13.8

  3

  4.11

  6.25

  7.81

  9.35

  11.3

  12.8

  16.3

  4

  7.78

  7.38

  9.49

  11.14

  13.3

  14.9

  18.5

  5

  6.63

  9.24

  11.07

  12.83

  15.1

  9.2

  5.99

  20.5

  0.10

  8 " "

  

2

#

  9

  <

  8 " , "

  6 #

  8

  %0<@@&<

  8 χ %:< & H χ

" #

  df ? # J #

  0.25 Tingkat kemaknaan (α)

  0.05

  4.61

  0.001 0.005 0.01 0.025

  1

  1.32

  2.71

  3.84

  5.02

  6.6

  7.9

  10.8

  2

  2.77

  16.7

  6

  32.9

  17.28

  27.9

  10

  12.55

  15.99

  18.31

  20.48

  23.2

  25.2

  29.6

  11

  13.70

  19.68

  21.7

  21.92

  24.7

  26.8

  31.3

  12

  14.85

  18.55

  21.03

  23.34

  26.2

  28.3

  23.6

  19.02

  7.84

  18.5

  10.64

  12.59

  14.45

  16.8

  18.5

  22.5

  7

  9.04

  12.02

  14.07

  16.01

  20.3

  16.92

  24.3

  8

  10.22

  13.36

  15.51

  17.53

  20.1

  22.0

  26.1

  9

  11.39

  14.68

  

6

  #3 45 4 4 #

6 #

  PEMILIHAN UJI STATISTIK UNIVARIAT / BIVARIAT Macam Jenis variabel Jumlah sampel Nominal / Rasio-Interval Ordinal Tujuan (bebas / sampel / / kategorik pop. berdistribusi Rasio-Interval berpasangan) uji pasangan normal distrib. tak normal

  Bebas Uji t 2 sampel ~ Uji Mann- ~ Uji khi- (independent) bebas Whitney kuadrat _{~ ~}

  Uji jumlah Uji eksak dari peringkat dari Fisher

  Berpasangan Uji t sampel Uji peringkat Uji McNemar (related/paired) berpasangan bertanda dari (u/ kategori

  Komparasi Wilcoxon dikotomik)

  (perbeda- an)

Bebas Anava 1 arah Uji Kruskall-Wallis Uji khi-kuadrat

  > 2 Berpasangan Anava u/ subyek Uji Friedman Uji Cochran's Q _{(related/paired)} yg sama (u/ kategori _{~ Korelasi dari ~ Korelasi dari ~ Koefisien} dikotomik)

  Korelasi Pearson (r) Spearman (r ) Kontingensi (C)

_{~ ~ ~}

_s (Regresi) Asosiasi Kappa Koefisien Phi (κ)

  % # ! " # " , & ! "

  # $ # " " $ # #

  ' " # # ' 7 ' ' " # ) " " ' , , ,

  .

  "

  6 ,

• $, K '7'8

  ' " # # , , !

  06

  7

  8 " # , L

  , M 9 50 , 8 #6 $ 5@ , M8 C

  #6 . #

  56

  8 > ? 8 ' " #

  , L , M

  > ?

  5

  8 " # , L ,

  M

• = E <= 5 <A

  34

  A6 ? !

  A<A 50<=

  =

  11

  15

  6

  2

  6 / " #

  " $ " 7 ,

  50 B # '

  AC : B # 5@ /

  5A B # ?

  50

  5@ M 50 C

  8 AC : B #

  8

• D *
• =
• − • • • • = n n n

  24

  2 1 ! = =

  3

  .... 1 (

  2 1 ! 4 )

  3

  4

  1

  C6 . ,

  1 ! 1 !

  8 ! ! ! ! ! )! ( )! ( )! ( )! ( d c b a n d b c a d c b a p

  06 #

  D" " B # - L

  "D D* B #

  6

  8 # , , # 340< , < #

  = • • • =

  Σ p p =

  28 ! 6 ! 19 !

  1 = + + = = + + = p p p p p i

  2

  3

  , 303 453 , 130 , 020 ,

  

15

₃ =

  19 !

  

34

! 28 ! 6 !

  

15

₂ =

  28 ! 6 ! 19 !

  14 !

1 !

34

!

  130 , ! 14 ! 5 !

  

15

₁ =

  13 ! 2 !

34

!

  020 , ! 15 ! 4 !

  8 " " # " # # " ! ! " % , 8 ! , < &

  5 B # - L

  5C

  50

• = p 303 , ! 13 ! 6 ! ! 15 !

  5C

  50 B # - L AC : B # 5@

  50

  5A

  5A B # - L AC : B # 5@

  50

• = p

  AC : B # 5@

• = p

  6 ? # J #

  8 < " # 8

  $ α α α α $ " # , 8

  " < " # 8 2) α α α α

  ? # J #

  8 % <C0A& H < 0< 8 "

  6 #

  8 ' " # , L ,

  M

  2 #

  8 ' " , L #

  6