7-9-10

Tests

kχ2 Test

χ2 Test

Command: ChiTest ￿

Description: This command tests hypotheses concerning the proportion of samples included in each of a number of independent groups. The χ2 Test command is used in the case of dichotomous variables, which are variables that have only two possible values (such as “yes” or “no”).

Expected Frequencies

 

k

 

 

 

 

Σxij

⋅Σxij

 

 

 

 

Fij =

i=1

j=1

 

 

 

 

k

 

 

 

 

 

 

Σ Σ xij

 

 

 

 

 

i=1 j=1

 

 

 

 

 

k

(xij –

Fij)

2

 

χ2 = Σ Σ

 

 

Fij

 

 

i=1 j=1

 

Command Syntax

Observed matrix

Definition of Terms

Observed matrix: name of matrix containing observed values (positive integers in all cells)

Input Example:

ChiTest matrixa

Calculation Result Output

χ2 : χ2 value

p : p-value

df : degrees of freedom

Tip

•The minimum size of the matrix is 2 ⋅ 2. An error occurs if the matrix has only one row or one column.

•The result of the expected frequency calculation is stored in the system variable named “Expected”.

20050501