Robust Estimation of Polychoric Correlation for Complex Survey Designs Using Minimum Divergence Methods
复杂抽样设计下多分格相关的稳健最小散度估计
Standard maximum likelihood estimation of polychoric correlations is highly sensitive to contamination in survey data, including response errors, interviewer effects, and careless responding, yet assigns equal weight to all observations regardless of data quality. We develop robust estimators for polychoric correlation under complex survey designs based on two minimum divergence criteria -- Hellinger distance (HD) and negative exponential disparity (NED) -- incorporating…