Methods, systems, and apparatus are provided for determining whether a nucleic acid sequence imbalance exists within a biological sample. One or more cutoff values for determining an imbalance of, for example, the ratio of the two sequences (or sets of sequences) are chosen. The cutoff value may be determined based at least in part on the percentage of fetal DNA in a sample, such as maternal plasma, containing a background of maternal nucleic acid sequences. The percentage of fetal DNA can be calculated from the same or different data used to determine the cutoff value, and can use a locus where the mother is homozygous and the fetus is heterozygous. The cutoff value may be determined using many different types of methods, such as sequential probability ratio testing (SPRT).