Techniques for construction of internal controls for improved accuracy and sensitivity of DNA testing include obtaining first data and determining weights over real numbers for a normalization function in less than a day. The first data indicates a measured amount of reference sequences for nucleic acids from training samples. The reference sequences include a target, for which an abundance is indicative of a condition of interest, and covariates not correlated with the condition of interest. The normalization function involves a sum of abundances of the covariates, as internal controls, each multiplied by a corresponding one of the weights. The weights are determined based on minimizing variance of a Taylor expansion of a ratio of a measured amount of the target divided by a value of the normalization function evaluated with measured amounts of the covariates over a portion of the first data in which the condition is absent.