title: Correlation estimation with singly truncated bivariate data.
abstract: Correlation coefficient estimates are often attenuated for truncated samples in the sense that the estimates are biased towards zero. Motivated by real data collected in South Sudan, we consider correlation coefficient estimation with singly truncated bivariate data. By considering a linear regression model in which a truncated variable is used as an explanatory variable, a consistent estimator for the regression slope can be obtained from the ordinary least squares method. A consistent estimator of the correlation coefficient is then obtained by multiplying the regression slope estimator by the variance ratio of the two variables. Results from two limited simulation studies confirm the validity and robustness of the proposed method. The proposed method is applied to the South Sudanese children's anthropometric and nutritional data collected by World Vision. Copyright © 2017 John Wiley & Sons, Ltd.
authors.affiliation: Department of Statistics, Iowa State University, Ames, U.S.A.
authors.forename: Jongho
authors.identifier: 0000-0002-9143-3746
authors.initials: J
authors.lastname: Im
authors.affiliation: Interdisciplinary Program in Bioinformatics, Seoul National University, Seoul, Korea.
authors.forename: Eunyong
authors.initials: E
authors.lastname: Ahn
authors.affiliation: International Vaccine Institute, Seoul, Korea.
authors.forename: Namseon
authors.initials: N
authors.lastname: Beck
authors.affiliation: Department of Statistics, Iowa State University, Ames, U.S.A.|Department of Mathematical Sciences, KAIST, Daejeon, Korea.
authors.forename: Jae Kwang
authors.initials: JK
authors.lastname: Kim
authors.affiliation: Department of Statistics, Seoul National University, Seoul, Korea.
authors.forename: Taesung
authors.identifier: 0000-0002-8294-590X
authors.initials: T
authors.lastname: Park
mesh_terms: D000886:Anthropometry; D015982:Bias; D002648:Child; D015362:Child Nutrition Disorders / Q000175:diagnosis / Q000453:epidemiology; D002675:Child, Preschool; D006801:Humans; D016018:Least-Squares Analysis; D016014:Linear Models; D015233:Models, Statistical; D009010:Monte Carlo Method; D009752:Nutritional Status; D013223:Statistics as Topic / Q000379:methods*; D013397:Sudan / Q000453:epidemiology
keywords: Pearson's correlation coefficient; outcome-dependent sampling; singly truncated data