Solberg H E
Scand J Clin Lab Invest Suppl. 1986;184:125-32.
During the preparation of an IFCC-recommendation on the statistical treatment of reference values, five tests of the goodness-of-fit of an empirical distribution to the Gaussian distribution were computerized and studied by Monte Carlo simulations: tests based on the coefficients of skewness and kurtosis, the Anderson-Darling's test, the Cramér-von Mises' test, and the Kolmogorov-Smirnov's test. Approximations for test probabilities were developed for all these tests. Based on the simulation results it is recommended to use the combination of the two coefficient-based tests for monitoring the transformation of an empirical distribution to Gaussian shape and to use the Anderson-Darling's test as an all-round test for Gaussianity.
在制定国际临床化学与检验医学联合会（IFCC）关于参考值统计处理的建议期间，通过蒙特卡罗模拟对经验分布与高斯分布的拟合优度的五项检验进行了计算机化处理和研究：基于偏度和峰度系数的检验、安德森-达林检验、克莱默-冯米塞斯检验以及柯尔莫哥洛夫-斯米尔诺夫检验。针对所有这些检验都开发了检验概率的近似值。基于模拟结果，建议使用基于系数的两项检验的组合来监测经验分布向高斯形状的转变，并使用安德森-达林检验作为高斯性的全面检验。
