Marginal Standardization and Table Shrinking: Aids in the Traditional Analysis of Contingency Tables

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Abstract
Marginal standardization is an iterative procedure for adjusting the marginal totals of cross-tabulations without affecting the core patterns of association as measured by odds-ratios. One-way distributions may obscure the patterns of association in tables and, in frequently unwanted ways, affect zero-order and partial coefficients and confound the comparisons of tables. The standardization procedure can help overcome these problems and, with slight modifications, has many other applications in table analysis. Before standardizing a table, “random” zeros should be removed by Fienberg and Holland' “table-shrinking” method of adding pseudocounts based on the table and a model of it.

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