This paper discusses a number of candidates for robust estimators of a simple linear functional relationship (SLFR), The classical maximum likelihood estimators of the SLFR can be affected fry the presence of possible outliers. This is due to the fact that they are mean-based estimators. Some median-based estimators, of the SIFR are examined. Among those considered Theil-type estimators and the modified Ll-norm estimator are found to be most robust (i.e insensitive to the outliers).