Sample size for detection of Y-chromosomes in lymphocytes of possible freemartins

The number of metaphases that need to be examined to detect a Y-chromosome in a lymphocyte of a possible freemartin with a prescribed degree of certainty depends on the distribution of % XY cells among freemartins. To quantify this, the beta-binomial distribution was fit by maximum likelihood to% XY cells observed in blood samples of 70 freemartins (twin births only). The estimate mean and standard deviation of XY cells frequency in 70 freemartins (12,885 metaphases) was 0.48 and 0.30, respectively. These estimates correspond to a U-shaped distribution of XY cell frequency, i.e., one in which either an XX or an XY cell type predominates in most freemartins. These values indicate that sample sized of 26 and 168 are required to by 95% and 99% confident, respectively, that a female co-twin will not be misclassified.