The Muscatine children's obesity data reanalysed using pattern mixture models

The Muscatine children's obesity data reanalysed using pattern mixture models
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DOI:
10.1111/1467-9876.00110
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发表时间:
1998-01-01
影响因子:
1.6
通讯作者:
Skinner, C
Skinner, C
中科院分区:
数学3区
文献类型:
--
作者:
Ekholm, A;Skinner, C

文献摘要

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对美国儿童肥胖的一组纵向二元、部分不完整的数据进行了重新分析。多元伯努利分布由所有阶的单变量边际概率和相依比率参数化,这些参数共同支持最大似然推断。肥胖的时间关联性很强且复杂,但具有平稳性。我们为反应模式的分布拟合了一个饱和模型,发现男孩的无反应是完全随机的,但提供不完整记录的女孩肥胖的概率始终高于提供完整记录的女孩。我们讨论了该数据集的模式混合模型和选择模型各自的统计和实质性特征。
A set of longitudinal binary, partially incomplete, data on obesity among children in the USA is reanalysed. The multivariate Bernoulli distribution is parameterized by the univariate marginal probabilities and dependence ratios of all orders, which together support maximum likelihood inference. The temporal association of obesity is strong and complex but stationary. We fit a saturated model for the distribution of response patterns and find that non-response is completely at random for boys but that the probability of obesity is consistently higher among girls who provided incomplete records than among girls who provided complete records. We discuss the statistical and substantive features of respectively pattern mixture and selection models for this data set.