Another Look at the Salamander Mating Data: A Modified Laplace Approximation Approach
Another Look at the Salamander Mating Data: A Modified Laplace Approximation Approach
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DOI：
10.1080/01621459.1997.10473632
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发表时间：
1997-03
影响因子：
3.7
通讯作者：
Z. Shun
中科院分区：
文献类型：
--
作者：
Z. Shun
摘要McCullagh和Neld的火蜥蜴交配数据集已经引起了统计学家的注意，因为它的结构具有挑战性：设计是交叉的，而不是嵌套的。用于评估边际似然函数的标准拉普拉斯近似在这种情况下失败，因为积分的维度是样本大小的平方根。Shun和McCullagh提出了一种修改方案。本文使用这种改进的拉普拉斯近似重新分析了火蜥蜴数据，并重点讨论了得分函数的渐近阶数和计算。
Abstract The salamander mating dataset of McCullagh and Nelder has drawn the attention of statisticians because of its challenging structure: the design is crossed rather than nested. The standard Laplace approximation used to evaluate marginal likelihood functions fails in this case because the dimension of the integral is the square root of the sample size. A modification has been proposed by Shun and McCullagh. This article reanalyzes the salamander data using this modified Laplace approximation and focuses on the asymptotic order and computation of the score function.