Frison L, Pocock S J
Medical Statistics Unit, London School of Hygiene and Tropical Medicine, U.K.
Stat Med. 1992 Sep 30;11(13):1685-704. doi: 10.1002/sim.4780111304.
This paper explores the use of simple summary statistics for analysing repeated measurements in randomized clinical trials with two treatments. Quite often the data for each patient may be effectively summarized by a pre-treatment mean and a post-treatment mean. Analysis of covariance is the method of choice and its superiority over analysis of post-treatment means or analysis of mean changes is quantified, as regards both reduced variance and avoidance of bias, using a simple model for the covariance structure between time points. Quantitative consideration is also given to practical issues in the design of repeated measures studies: the merits of having more than one pre-treatment measurement are demonstrated, and methods for determining sample sizes in repeated measures designs are provided. Several examples from clinical trials are presented, and broad practical recommendations are made. The examples support the value of the compound symmetry assumption as a realistic simplification in quantitative planning of repeated measures trials. The analysis using summary statistics makes no such assumption. However, allowance in design for alternative non-equal correlation structures can and should be made when necessary.
本文探讨了在有两种治疗方法的随机临床试验中,使用简单汇总统计量分析重复测量数据的方法。通常,每个患者的数据可以通过治疗前均值和治疗后均值有效地汇总。协方差分析是首选方法,并且通过一个关于时间点间协方差结构的简单模型,从降低方差和避免偏差两方面,量化了它相对于治疗后均值分析或均值变化分析的优越性。还对重复测量研究设计中的实际问题进行了定量考量:证明了进行多次治疗前测量的优点,并提供了重复测量设计中确定样本量的方法。给出了一些来自临床试验的例子,并提出了广泛的实用建议。这些例子支持了复合对称假设作为重复测量试验定量规划中一种现实简化方法的价值。使用汇总统计量进行分析时无需此类假设。然而,必要时在设计中可以且应该考虑替代的非等相关结构。