Galindo-Garre, Francisca, Vermunt, Jeroen K. and Bergsma, Wicher P.  ORCID: 0000-0002-2422-2359 
  
(2004)
Bayesian posterior estimation of logit parameters with small samples.
    Sociological Methods and Research, 33 (1).
     pp. 88-117.
     ISSN 0049-1241
ORCID: 0000-0002-2422-2359 
  
(2004)
Bayesian posterior estimation of logit parameters with small samples.
    Sociological Methods and Research, 33 (1).
     pp. 88-117.
     ISSN 0049-1241
  
  
  
Abstract
When the sample size is small compared to the number of cells in a contingency table, maximum likelihood estimates of logit parameters and their associated standard errors may not exist or may be biased. This problem is usually solved by "smoothing" the estimates, assuming a certain prior distribution for the parameters. This article investigates the performance of point and interval estimates obtained by assuming various prior distributions. The authors focus on two logit parameters of a 2 × 2 × 2 table: the interaction effect of two predictors on a response variable and the main effect of one of two predictors on a response variable, under the assumption that the interaction effect is zero. The results indicate the superiority of the posterior mode to the posterior mean.
| Item Type: | Article | 
|---|---|
| Official URL: | http://intl-smr.sagepub.com/ | 
| Additional Information: | © 2004 SAGE Publications | 
| Divisions: | Statistics | 
| Subjects: | Q Science > QA Mathematics | 
| Date Deposited: | 01 Nov 2007 | 
| Last Modified: | 11 Sep 2025 06:49 | 
| URI: | http://eprints.lse.ac.uk/id/eprint/2833 | 
Actions (login required)
|  | View Item | 
 
                                    