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The use of biased estimators can be found in some historically and up to now important tools in statistical data analysis. In this paper their replacement with unbiased estimators at least in the case of the estimator of the population standard deviation for normal distributions is proposed. By removing the incoherence from the Student's t-distribution caused by the biased estimator, a corrected t-distribution may be defined. Although the quantitative results in most data analysis applicationsdoi:10.1515/hjic-2017-0005 fatcat:72tdm27vgngr3aidwi3ofmm6ze