
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 | ||||
| 2 | 
 | k | (xij – Fij)2 | |||
| χ | = ΣΣ | 
 | 
 | |||
| F | ||||||
| 
 | i=1 j=1 | ij | ||||
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 : 
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”.
20021201