Psychiatry Department, New York State Psychiatric Institute, Columbia University, 1051 Riverside Drive, New York, NY 10032, USA.
Eur Arch Psychiatry Clin Neurosci. 2010 Apr;260(3):243-8. doi: 10.1007/s00406-009-0062-9. Epub 2009 Nov 21.
Clinical trials with several measurement occasions are frequently analyzed using only the last available observation as the dependent variable [last observation carried forward (LOCF)]. This ignores intermediate observations. We reanalyze, with complete data methods, a clinical trial previously reported using LOCF, comparing placebo and five dosage levels of moclobemide in the treatment of outpatients with panic disorder to illustrate the superiority of methods using repeated observations. We initially analyzed unprovoked and situational, major and minor attacks as the four dependent variables, by repeated measures maximum likelihood methods. The model included parameters for linear and curvilinear time trends and regression of measures during treatment on baseline measures. Significance tests using this method take into account the structure of the error covariance matrix. This makes the sphericity assumption irrelevant. Missingness is assumed to be unrelated to eventual outcome and the residuals are assumed to have a multivariate normal distribution. No differential treatment effects for limited attacks were found. Since similar results were obtained for both types of major attack, data for the two types of major attack were combined. Overall downward linear and negatively accelerated downward curvilinear time trends were found. There were highly significant treatment differences in the regression slopes of scores during treatment on baseline observations. For major attacks, all treatment groups improved over time. The flatter regression slopes, obtained with higher doses, indicated that higher doses result in uniformly lower attack rates regardless of initial severity. Lower doses do not lower the attack rate of severely ill patients to those achieved in the less severely ill. The clinical implication is that more severe patients require higher doses to attain best benefit. Further, the significance levels obtained by LOCF analyses were only in the 0.05-0.01 range, while significance levels of <0.00001 were obtained by these repeated measures analyses indicating increased power. The greater sensitivity to treatment effect of this complete data method is illustrated. To increase power, it is often recommended to increase sample size. However, this is often impractical since a major proportion of the cost per subject is due to the initial evaluation. Increasing the number of repeated observations increases power economically and also allows detailed longitudinal trajectory analyses.
临床研究中经常会遇到多次测量的情况,这些研究通常仅将最后一次可获得的观察值作为因变量(即末次观测值结转法,LOCF)进行分析。这种方法忽略了中间的观察值。我们用完整数据的方法重新分析了之前使用 LOCF 法分析的临床试验,比较了帕罗西汀和莫达非尼五个剂量水平在门诊惊恐障碍患者治疗中的疗效,以此说明使用重复观察值的方法更具优势。我们最初采用重复测量最大似然法,分析了四个因变量:无诱因发作、情境性发作、大发作和小发作。该模型包括线性和曲线时间趋势的参数以及治疗期间测量值相对于基线测量值的回归。这种方法的显著性检验考虑了误差协方差矩阵的结构,因此不需要考虑球形度假设。我们假设缺失与最终结果无关,并且残差具有多元正态分布。我们没有发现有限发作的治疗效果有差异。由于两种大发作都得到了类似的结果,因此我们将这两种类型的大发作数据合并。我们发现总体上存在线性下降和负加速的曲线下降时间趋势。治疗对基线观察的评分在治疗期间的回归斜率有显著差异。对于大发作,所有治疗组的评分随时间推移都有所改善。更高剂量的回归斜率更平坦,表明无论初始严重程度如何,更高剂量都会导致发作率均匀降低。较低剂量不会将严重患者的发作率降低到轻度患者的水平。这一发现的临床意义在于,更严重的患者需要更高的剂量才能获得最佳疗效。此外,LOCF 分析得到的显著性水平仅在 0.05-0.01 范围内,而重复测量分析得到的显著性水平低于 0.00001,这表明该方法的功效更高。该完整数据方法对治疗效果的敏感性更高。为了提高功效,通常建议增加样本量。然而,这在实践中往往是不切实际的,因为每个患者的成本主要取决于初始评估。增加重复观察次数可以在经济上增加功效,同时还可以进行详细的纵向轨迹分析。