Estimation of proportions for multinomial contingency tables subject to marginal constraints
- 1 January 1983
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 12 (22) , 2581-2587
- https://doi.org/10.1080/03610928308828624
Abstract
For a two-way table of observed proportions we consider four approaches to the problem of fitting a new set of proportions which-subject to satisfying marginal constraints on row and column totals-corresponds as closely as possible to the original table, The approaches are known to be asymptotically equivalent; but our chief interest is in establishing, at least for the 2x2 table, a hierarchy of preferences under multinomial sampling for moderate sample sizes. Implementation of minimum chi-square is described and recommended.Keywords
This publication has 7 references indexed in Scilit:
- Expected Absolute Error of the Usual Estimator of the Binomial ParameterThe American Statistician, 1980
- Minimum Chi-Square, not Maximum Likelihood!The Annals of Statistics, 1980
- Product Models for Frequency Tables Involving Indirect ObservationThe Annals of Statistics, 1977
- Contingency tables with given marginalsBiometrika, 1968
- On Adjusting Sample Tabulations to Census CountsJournal of the American Statistical Association, 1955
- Estimation of Linear Functions of Cell ProportionsThe Annals of Mathematical Statistics, 1947
- On a Least Squares Adjustment of a Sampled Frequency Table When the Expected Marginal Totals are KnownThe Annals of Mathematical Statistics, 1940