ChiSquare

1
Chi-Square
2
Chi- Square

• Examines the difference between the Observed and
  the Expected proportions among groups
• Both Variables are Nominal

3
Chi- Square
X 2
4
Chi- Square
X
Y
Z
40
20
Total O 90
O
O
30
30
E
E
5
Chi- Square
X
Y
Z
40
30
20
Total O 90
O
O
O
30
30
30
E
E
E
90 / 3 30
6
Chi- Square
X
Y
Z



7
Chi- Square
X
Y
Z
( 20 - 30 ) 2



fe
fe
8
Chi- Square
X
Y
Z
( -10 ) 2



fe
fe
9
Chi- Square
X
Y
Z
100



fe
fe
10
Chi- Square
X
Y
Z
100
100



30
30
30
11
Chi- Square
X
Y
Z

3.333
0
3.333


12
Chi- Square

X 2 6.67
13
Chi-Square
Alone
Others
Males
Females
14
Chi-Square
Alone
Others
50
Males
50
Females
55
45
100
15
Chi-Square
Alone
Others
50
29
Males
50 X 45 100
O
22.5
22.5
E
50
Females
55
45
100
16
Chi-Square
Alone
Others
50
29
Males
50 X 55 100
O
27.5
22.5
27.5
E
50
Females
55
45
100
17
Chi-Square
Alone
Others
50
29
Males
O
22.5
27.5
E
50
Females
22.5
27.5
55
45
100
18
Chi- Square
X 2
Figure for Each Cell
19
Chi-Square

• Degrees of Freedom df (R-1) (C-1)
• Critical Value (Table A.6) 3.84
• X2 6.84