论文标题
多种反应回归的假设检验:益生菌对成瘾和暴饮暴食的影响
Hypothesis tests for multiple responses regression: effect of probiotics on addiction and binge eating disorder
论文作者
论文摘要
临床试验在医学研究中很常见,在医学研究中,经常进行多个非高斯反应和时间依赖性观察结果。这些研究的数据分析需要考虑这些特征的统计建模技术。我们提出了一种基于WALD统计数据的一般策略,以执行有关多变量协方差概括性线性模型(MCGLMS)的回归和分散参数的ANOVAS,MANOVAS和多重比较测试等假设检验。 MCGLM为正常和非正常的多元数据分析以及广泛的相关结构提供了一般的统计建模框架。我们设计了不同的模拟场景,以验证提出的测试的属性。结果有望表明,所提出的测试在所有模拟研究方案中都表现出接近指定的置信度。补充该提案,我们开发了R语言的实施方式来执行提出的测试,这些代码在补充材料中可用。该提案是通过对临床试验的分析进行的,该试验旨在评估益生菌在控制减肥手术的患者中使用益生菌对成瘾和暴饮暴食障碍的影响。将受试者分为两组(安慰剂和治疗),并在三个不同的时间进行评估。结果表明,成瘾和暴饮暴食障碍会随着时间的流逝而减少,但是每个时间点之间没有差异。
Clinical trials are common in medical research where multiple non-Gaussian responses and time-dependent observations are frequent. The analysis of data from these studies requires statistical modeling techniques that take these characteristics into account. We propose a general strategy based on the Wald statistics to perform hypothesis tests like ANOVAs, MANOVAs and multiple comparison tests on regression and dispersion parameters of multivariate covariance generalized linear models (McGLMs). McGLMs provide a general statistical modeling framework for normal and non-normal multivariate data analysis along with a wide range of correlation structures. We design different simulation scenarios to verify the properties of the proposed tests. The results are promising showing that the proposed tests present the levels of confidence close to the specified one for all simulation study scenarios. Complementary to the proposal, we developed implementations in the R language to carry out the tests presented, the codes are available in the supplementary material. The proposal is motivated by the analysis of a clinical trial that aims to evaluate the effect of the use of probiotics in the control of addiction and binge eating disorder in patients undergoing bariatric surgery. The subjects were separated into two groups (placebo and treatment) and evaluated at three different times. The results indicate that addiction and binge eating disorder reduce over time, but there is no difference between groups at each time point.