对拟协方差分析和双中心协方差分析所宣称的增强功效的批判。
Critique of enhanced power claimed for Quasi-ANCOVA and Dual-Centered ANCOVA.
作者信息
Brorsen B Wade, Lin Hua, Larzelere Robert E
机构信息
Department of Agricultural Economics, Oklahoma State University, Stillwater, Oklahoma, United States of America.
Department of Human Development and Family Science, Oklahoma State University, Stillwater, Oklahoma, United States of America.
出版信息
PLoS One. 2025 Jan 22;20(1):e0317860. doi: 10.1371/journal.pone.0317860. eCollection 2025.
Two related methods, Quasi-ANCOVA and Dual-Centered ANCOVA, have recently been suggested as a way to get greater power when analyzing data from a before and after study. Both methods use group-mean centering where the groups are the treatment and comparison groups. Group-mean centering creates a generated regressor problem. When the estimated standard errors are corrected for the generated regressor problem, there is no longer any gain in power. The corrected Quasi-ANCOVA estimates are identical to those from ANOVA and the corrected Dual-Centered ANCOVA estimates are identical to those from the differences model. These conclusions are derived analytically and also verified using a Monte Carlo simulation.
最近有人提出了两种相关方法，即准协方差分析（Quasi-ANCOVA）和双中心协方差分析（Dual-Centered ANCOVA），作为在分析前后对照研究数据时提高检验效能的一种方法。这两种方法都使用组均值中心化，其中的组为治疗组和对照组。组均值中心化会产生一个生成性回归变量问题。当针对生成性回归变量问题对估计的标准误进行校正后，检验效能就不再有任何提高。校正后的准协方差分析估计值与方差分析的估计值相同，校正后的双中心协方差分析估计值与差异模型的估计值相同。这些结论是通过解析推导得出的，并且也通过蒙特卡罗模拟进行了验证。
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