For a Rows by Columns Contingency Table
For a contingency table containing up to 5 rows and 5 columns, this unit will:

	~	perform a chi-square analysis [the logic and computational details of chi-square tests are described in Chapter 8 of Concepts and Applications];
	~	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];
	~	and calculate the two asymmetrical versions of lambda, the Goodman- Kruskal index of predictive association, along with some other measures relevant to categorical prediction. [Click here for a brief explanation of lambda.]

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:	2     3     4     5
Select the number of columns:	2     3     4     5

Data Entry_Q

	B1	B2	B3	B4	B5	Totals
A1
A2
A3
A4
A5
Totals
Reset         Calculate

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:

[Click here for a brief explanation of lambda.]

Estimated Probability of Correct Prediction

when Predicting:
A without knowledge of B
A from B
B without knowledge of A
B from A

Home	Click this link only if you did not arrive here via the VassarStats main page.

---

©Richard Lowry 2001-
All rights reserved.

---