Least squares-based methods to bias adjustment in scalar-on-function regression model using a functional instrumental variable
利用函数型工具变量校正标量对函数回归偏差的最小二乘方法
Instrumental variables are widely used to adjust for measurement error bias when assessing associations of health outcomes with ME prone independent variables. IV approaches addressing ME in longitudinal models are well established, but few methods exist for functional regression. We develop two methods to adjust for ME bias in scalar on function linear models. We regress a scalar outcome on an ME prone functional variable using a functional IV for model identification and…