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

PSC In The News

RSS Feed icon

Edin and Shaefer's book a call to action for Americans to deal with poverty

Weir says pain may underlie rise in suicide and substance-related deaths among white middle-aged Americans

Weitzman says China's one-child policy has had devastating effects on first-born daughters


MCubed opens for new round of seed funding, November 4-18

PSC News, fall 2015 now available

Barbara Anderson appointed chair of Census Scientific Advisory Committee

John Knodel honored by Thailand's Chulalongkorn University

Next Brown Bag

Monday, Dec 7 at noon, 6050 ISR-Thompson
Daniel Eisenberg, "Healthy Minds Network: Mental Health among College-Age Populations"

Shrinkage Estimation of Log Odds Ratios for Comparing Mobility Tables

Archived Abstract of Former PSC Researcher

Zhou, Xiang. Online Access 2015. "Shrinkage Estimation of Log Odds Ratios for Comparing Mobility Tables." Sociological Methodology, .

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