Examples of methods and apparatus are described that permit an analyte concentration to be estimated from a measurement in the presence of compounds that interfere with the measurement. In one example, the method can reduce the error in the estimation of analyte concentration in the presence of interferents. The method can include the use of one or more calibration set to determine analyte concentration. From a sample measurement, each calibration set can be tested to determine if it is eligible to estimate the analyte concentration in the sample. An estimate of analyte concentration can then be produced, based at least in part on the eligible calibration sets and on the sample measurement. In some implementations, if no calibration sets are eligible, an action is taken such as not outputting an estimate, displaying an alarm or alert, or providing a notification.