Glucose analysis instrument for diabetics, comprising a measuring device for determining glucose concentration values, a displaying device for displaying glucose concentration values, a signaling device for generating a reminder signal, and a control and evaluation device that comprises a processor and a data memory and is used to determine reminder times at which the signaling device is actuated. Event data are stored in the data memory, the event data containing information on events occurring in the life of a user of the glucose analysis instrument and on the time of occurrence of such events. The reminder times are determined by means of a reminder time determination algorithm taking into consideration event data from at least one previous day.