Advances and Applications in Statistics
Volume 28, Issue 2, Pages 109 - 121
(June 2012)
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MEASURE OF DEPARTURE FROM SYMMETRY MODEL FOR SQUARE CONTINGENCY TABLES
Bayo H. Lawal
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Abstract: We propose in this paper an alternative measure Y for measuring the degree of departure from symmetry (S) in square contingency tables. The proposed measure is based on the conditional difference asymmetry (CDAS) model and would be very useful to represent measures of departure from symmetry when the CDAS model holds. The measure is applied to previously employed sets of and data in Tomizawa et al. [13] and Tahata et al. [14]. Results obtained from the use of the proposed measure are very consistent with those presented in Tahata et al. and the measure is independent of both the dimension and sample size of a given table. The measure is much easier to compute and can be easily implemented in currently available Statistical Software. |
Keywords and phrases: asymmetry, conditional difference, measure, symmetry. |
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