The Stata Journal () , Number, pp. 1–11 The Regression Calibration Method for Fitting Generalized Linear Models with Additive Measurement Error

Abstract. This paper discusses and illustrates the method of regression calibra-tion. This is a straightforward technique for fitting models with additive mea-surement error. We present this discussion in terms of generalized linear models (GLMs) following the notation defined in Hardin and Carroll (2003). Discussion will include specified measurement error, measurement error estimated by replicate error-prone proxies, and measurement error estimated by instrumental variables. The discussion focuses on software developed as part of a small business innovation research (SBIR) grant from the National Institutes of Health (NIH). The authors of this paper served as consultants to Stata Corporation on that grant