In this paper we develop a simple maximum likelihood estimator for probit models where the regressors have measurement error. We first assume precise information about the reliability ratios (or, equivalently, the proxy correlations) of the regressors. We then show how reasonable bounds for the parameter estimates can be obtained when only imprecise information is available. The analysis is also extended to situations where the measurement error has non-zero mean and is correlated with the true values of the regressors. An extensive simulation study shows that the estimator works very well, even in quite small samples. Finally the method is applied to data explaining sick leave in Sweden.
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Paper provided by Lund University, Department of Economics in its series Working Papers with number
2003:4.
Length: 64 pages Date of creation: 16 Apr 2003 Date of revision:
07 Jul 2003 Handle: RePEc:hhs:lunewp:2003_004
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Find related papers by JEL classification: C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models C29 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Other
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