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Date of Award


Document Type

Campus Access Master's Report

Degree Name

Master of Science in Statistics (MS)

Administrative Home Department

Department of Mathematical Sciences

Advisor 1

Xiao Zhang

Committee Member 1

Qiuying Sha

Committee Member 2

Kui Zhang


Missing values are common issued faced by researchers in various fields. How we deal with missing values may have a significant influence on the analysis. In order to deal with issues caused by missing values, various imputation methods are developed. In this report, we propose a Bayesian method for imputing missing values of ordinal responses using a probit model. By simulation examples, we show our method works fairly well. And it is demonstrated through real data from NHANES.