Vickers A J
Integrative Medicine Service, Biostatistics Service, Memorial Sloan-Kettering Cancer Center, 1275 York Avenue New York, New York 10021, USA.
BMC Med Res Methodol. 2001;1:6. doi: 10.1186/1471-2288-1-6. Epub 2001 Jun 28.
Many randomized trials involve measuring a continuous outcome - such as pain, body weight or blood pressure - at baseline and after treatment. In this paper, I compare four possibilities for how such trials can be analyzed: post-treatment; change between baseline and post-treatment; percentage change between baseline and post-treatment and analysis of covariance (ANCOVA) with baseline score as a covariate. The statistical power of each method was determined for a hypothetical randomized trial under a range of correlations between baseline and post-treatment scores.
ANCOVA has the highest statistical power. Change from baseline has acceptable power when correlation between baseline and post-treatment scores is high;when correlation is low, analyzing only post-treatment scores has reasonable power. Percentage change from baseline has the lowest statistical power and was highly sensitive to changes in variance. Theoretical considerations suggest that percentage change from baseline will also fail to protect from bias in the case of baseline imbalance and will lead to an excess of trials with non-normally distributed outcome data.
Percentage change from baseline should not be used in statistical analysis. Trialists wishing to report this statistic should use another method, such as ANCOVA, and convert the results to a percentage change by using mean baseline scores.
许多随机试验涉及在基线期和治疗后测量连续结果,如疼痛、体重或血压。在本文中,我比较了此类试验的四种分析方法:治疗后;基线期与治疗后之间的变化;基线期与治疗后之间的百分比变化以及以基线分数作为协变量的协方差分析(ANCOVA)。针对一系列基线期与治疗后分数之间的相关性,在一个假设的随机试验中确定了每种方法的统计功效。
ANCOVA具有最高的统计功效。当基线期与治疗后分数之间的相关性较高时,从基线期的变化具有可接受的功效;当相关性较低时,仅分析治疗后分数具有合理的功效。从基线期的百分比变化具有最低的统计功效,并且对方差变化高度敏感。理论考量表明,在基线期不均衡的情况下,从基线期的百分比变化也无法防止偏差,并且会导致过多具有非正态分布结果数据的试验。
不应在统计分析中使用从基线期的百分比变化。希望报告此统计量的试验者应使用另一种方法,如ANCOVA,并通过使用平均基线分数将结果转换为百分比变化。