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Activity Number: 248
Type: Contributed
Date/Time: Tuesday, August 8, 2006 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #307370
Title: Measuring Association in Contingency Tables
Author(s): Shailendra Banerjee*+
Companies: Centers for Disease Control and Prevention
Address: 1600 Clifton Road, NE, Atlanta, GA, 30333,
Keywords: association ; symmetrical ; contingency table
Abstract:

Objectives: This study aims at developing measures of association and their sampling errors for cross classification of nominal and ordinal variables. Methods: Lambda, the symmetric measure of association is obtained by taking arithmetic means of numerators and denominators of asymmetric measures. Three new measures for symmetrical situation were obtained by taking arithmetic and geometric means alternatively. For ordinal variables, Somers' measures were modified to combine the ties for both C and R to obtain a new symmetric measure d. Delta method was used to estimate the standard errors for the new measures. Methods were used on survey data obtained from 180 U.S. hospitals. Results: It is observed that although, these measures do not differ much from the known measures of association, their standard errors are lower for most of them.


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