Mortimer D, Lenton E A
J Reprod Fertil. 1983 May;68(1):91-6. doi: 10.1530/jrf.0.0680091.
Probit plots of sperm concentration for 1711 suspected infertile men (those with azoospermia being excluded) were compared for the untransformed and loge-, square root- and cube root-transformed values. For the distribution of sperm concentrations, which was highly skewed towards low values, the square-root transformation produced the most normal (Gaussian) distribution. Loge and cube-root transformations caused skewing towards high values. Such treatment of the data should always be considered before using parametric statistical tests to make comparisons between sperm concentrations of groups of men.
对1711名疑似不育男性(排除无精子症患者)的精子浓度概率单位图进行了比较,比较对象为未转换值以及经自然对数、平方根和立方根转换后的值。对于高度偏向低值的精子浓度分布,平方根转换产生了最接近正态(高斯)分布的结果。自然对数和立方根转换导致分布偏向高值。在使用参数统计检验对男性群体的精子浓度进行比较之前,始终应考虑对数据进行此类处理。