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对数线性模型精确条件检验的重要性抽样算法AI 解读

SUMMARY A simple but quite general simulation method for conducting exact conditional lackof-fit tests in log-linear models is proposed. Our Monte Carlo approximation utilises an importance sampling method motivated by the crude normal approximation to the Poisson distribution. Examples considered include tests of quasi-symmetry and related models for square tables and tests concerning higher-order interactions in multi-way tables. The method is competitive with direct…

两个伽马总体均值之比的概率误差AI 解读

The two-sample Student's t-interval can be derived by parametric bootstrap coverage calibration of the naive, plug-in interval that fails to account for the estimation of the common variance parameter. The same technique results in an essentially exact confidence interval for the ratio of two means based on independent samples from gamma distributions. The gamma problem is more difficult computationally because an exact pivot is not available. However, the computational…