Home > Publications . Search All . Browse All . Country . Browse PSC Pubs . PSC Report Series

PSC In The News

RSS Feed icon

The Economist cites Inglehart in piece on strength of populists

Ela and Budnick find higher unintended pregnancy risk among non-heterosexual women

Patrick, Schulenberg et al. find trends in frequent binge drinking among teens vary by race, sex, SES

More News


Bailey, Eisenberg , and Fomby promoted at PSC

Former PSC trainee Eric Chyn wins PAA's Dorothy S. Thomas Award for best paper

Celebrating departing PSC trainees

Bloome finds children raised outside stable 2-parent families more likely to become low-income adults, regardless of parents' income

More Highlights

Shrinkage Estimation of Log Odds Ratios for Comparing Mobility Tables

Archived Abstract of Former PSC Researcher

Zhou, Xiang. 2015. "Shrinkage Estimation of Log Odds Ratios for Comparing Mobility Tables." Sociological Methodology, 45(1): 320-356.

Statistical analysis of mobility tables has long played a pivotal role in comparative stratification research. In this article, I propose a shrinkage estimator of the log odds ratio for comparing mobility tables. Building on an empirical Bayes framework, the shrinkage estimator improves estimation efficiency by "borrowing strength" across multiple tables while placing no restrictions on the pattern of association within tables. Numerical simulation shows that the shrinkage estimator outperforms the usual maximum likelihood estimator (MLE) in both the total squared error and the correlation with the true values. Moreover, the benefits of the shrinkage estimator relative to the MLE depend on both the variation in the true log odds ratio and the variation in sample size among mobility regimes. To illustrate the effects of shrinkage, I contrast the shrinkage estimates with the usual estimates for the mobility data assembled by Hazelrigg and Garnier for 16 countries in the 1960s and 1970s. For mobility tables with more than two categories, the shrinkage estimates of log odds ratios can also be used to calculate summary measures of association that are based on aggregations of log odds ratios. Specifically, I construct an adjusted estimator of the Altham index, and, with a set of calibrated simulations, demonstrate its usefulness in enhancing both the precision of individual estimates and the accuracy of cross-table comparisons. Finally, using two real data sets, I show that in gauging the overall degree of social fluidity, the adjusted estimator of the Altham index agrees more closely with results from the Unidiff model than does the direct estimator of the Altham index.

DOI:10.1177/0081175015570097 (Full Text)

Browse | Search : All Pubs | Next