Staudte R G
Biometrics. 1982 Sep;38(3):777-85.
In this paper the standard errors of both classical and recently proposed estimators of mean population-doubling time and mean cell-cycle time are derived as functions of the number of cells counted and the counting times in a blocked mitosis experiment. Practical suggestions are made regarding the allocation of cell counts that will reduce the standard errors. It is shown that the proposal of Jagers (1977, Bulletin of the International Statistical Institute 47 (2), 418-422) for estimating cell-cycle time yields, quite generally, smaller standard error than do the classical estimators. Finally, a relationship between the mean and variance of cell-cycle time and the mean doubling time is derived; in some cases this relationship justifies the classical identification of mean doubling time and mean cycle time.
本文推导了经典的以及最近提出的平均群体倍增时间和平均细胞周期时间估计量的标准误差,它们是封闭有丝分裂实验中细胞计数数量和计数时间的函数。针对如何分配细胞计数以降低标准误差给出了实用建议。结果表明,贾格斯(1977年,《国际统计学会公报》47(2),418 - 422)提出的估计细胞周期时间的方法,一般来说,其标准误差比经典估计量更小。最后,推导了细胞周期时间的均值和方差与平均倍增时间之间的关系;在某些情况下,这种关系证明了将平均倍增时间和平均周期时间进行经典识别是合理的。