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Sufficient Sample Size and Power in Multilevel Ordinal Logistic Regression Models

机译:多级序数Logistic回归模型中足够的样本量和功效

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摘要

For most of the time, biomedical researchers have been dealing with ordinal outcome variable in multilevel models where patients are nested in doctors. We can justifiably apply multilevel cumulative logit model, where the outcome variable represents the mild, severe, and extremely severe intensity of diseases like malaria and typhoid in the form of ordered categories. Based on our simulation conditions, Maximum Likelihood (ML) method is better than Penalized Quasilikelihood (PQL) method in three-category ordinal outcome variable. PQL method, however, performs equally well as ML method where five-category ordinal outcome variable is used. Further, to achieve power more than 0.80, at least 50 groups are required for both ML and PQL methods of estimation. It may be pointed out that, for five-category ordinal response variable model, the power of PQL method is slightly higher than the power of ML method.
机译:在大多数情况下,生物医学研究人员一直在将患者嵌套在医生中的多层模型中处理序数结果变量。我们可以合理地应用多级累积logit模型,其中结果变量以有序类别的形式代表诸如疟疾和伤寒之类的轻度,重度和极重度疾病。根据我们的模拟条件,在三类有序结果变量中,最大似然法(ML)优于惩罚拟似然法(PQL)。但是,PQL方法的性能与使用五类有序结果变量的ML方法一样好。此外,要获得大于0.80的功率,ML和PQL估计方法都至少需要50个组。可以指出,对于五类序数响应变量模型,PQL方法的功效比ML方法的功效稍高。

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