Iterative Proportional Fitting
Published Online: 15 JUL 2005
Copyright © 2005 John Wiley & Sons, Ltd
Encyclopedia of Biostatistics
How to Cite
Speed, T. P. 2005. Iterative Proportional Fitting. Encyclopedia of Biostatistics. 4.
- Published Online: 15 JUL 2005
Iterative proportional fitting, also known as iterative proportional scaling, is an algorithm for constructing tables of numbers satisfying certain constraints. In its simplest form, the algorithm enables one to construct two-way tables with specified row and column margins and prescribed association, measured by a family of cross-ratios. The algorithm can be used to obtain maximum likelihood estimates of table entries under hierarchical loglinear models, and it can be used to adjust counts in survey sampling, where it is known as raking. Natural extensions exist to three and higher-way tables, and to more general exponential families.
- hierarchical loglinear model;