Chi-Square, Cramer's V, and Lambda for a Rows by Columns Contingency Table

For a contingency table containing up to 5 rows and 5 columns, this page will:
º
 		perform a chi-square analysis [the logic and computational details of chi-square tests are described in Chapter 8 of Concepts and Applications];
º
 		calculate Cramer's V, which is a measure of the strength of association among the levels of the row and column variables [for a 2x2 table, Cramer's V is equal to the absolute value of the phi coefficient];
º
 		and calculate the two asymmetrical versions of lambda, the Goodman- Kruskal index of predictive association, along with some other measures relevant to categorical prediction.

To begin, select the number of rows and the number of columns by clicking the appropriate buttons below; then enter your data into the appropriate cells of the data-entry matrix. After all data have been entered, click the «Calculate» button.

Select the number of rows: 
        
 
Select the number of columns: 
        
 

Data EntryQ
B1
 		B2
 		B3
 		B4
 		B5
 		Totals
A1






A2





A3






A4






A5






Totals






   

Chi-Square
 		df
 		P




Cramer's V =
Percentage DeviationsQ
B1
 		B2
 		B3
 		B4
 		B5
A1





A2




A3





A4





A5





Standardized ResidualsQ
B1
 		B2
 		B3
 		B4
 		B5
A1





A2




A3





A4





A5





Lambda for predicting
 		Standard
Error
 		.95 CI Limits
Lower
 		Upper
A from B:




B from A:





Estimated Probability of Correct Prediction
when Predicting:
  A without knowledge of B
 		  
A from B
 		  
  B without knowledge of A
 		  
B from A