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二元数据的实验设计AI 解读

Models for binary data are usually such that the information matrix depends on the unknown parameters. Thus the standard criteria for optimality in regression experiments cannot be applied without modification. Methods of going around this difficulty include the use of initial point estimates, sequential methods, and Bayesian analysis. This article is mainly concerned with the robustness and the number of design points for methods involving initial estimates, and for…

列联表的小样本分析AI 解读

The analysis of some contingency tables is based on hierarchical log linear models. Inferences about sets of parameters can then be made from conditional distributions. We discuss three ways of improving the asymptotic methods generally used in practice. They comprise (i) better approximations to moments of cell frequencies than those derived from the iterative scaling procedure, (ii) exact distributions obtained by enumerating all tables consistent with given marginal…

列联表的小样本分析AI 解读

The analysis of some contingency tables is based on hierarchical log linear models. Inferences about sets of parameters can then be made from conditional distributions. We discuss three ways of improving the asymptotic methods generally used in practice. They comprise (i) better approximations to moments of cell frequencies than those derived from the iterative scaling procedure, (ii) exact distributions obtained by enumerating all tables consistent with given marginal…

泊松混合对统计推断的敏感性AI 解读

Data presented as contingency tables and classified by qualitative or quantitative methods are usually analysed on the basis of a Poisson log linear model. We examine the effect of Poisson mixtures, especially as represented by the negative binomial distribution, on statistical inference. The main finding is that probabilities of rejection are increased, sometimes considerably. In the case of heterogeneous binary data, attention is also given to the problems of analysis…

泊松混合下的推断敏感性AI 解读

Data presented as contingency tables and classified by qualitative or quantitative methods are usually analysed on the basis of a Poisson log linear model. We examine the effect of Poisson mixtures, especially as represented by the negative binomial distribution, on statistical inference. The main finding is that probabilities of rejection are increased, sometimes considerably. In the case of heterogeneous binary data, attention is also given to the problems of analysis…

二乘二列联表的边际总数AI 解读

Inferences about the odds ratio of a 2×2 contingency table are usually based on the distribution of any one frequency conditional on the observed values of the marginal totals. The reason is given that the marginal totals are ancillary statistics which contain no information about the odds ratio. We consider inferences about the odds ratio when the likelihood function is derived from the marginal totals. Standard procedures for making statements about an unknown parameter…

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随机排列AI 解读

Summary The problem of generating random permutations of the integers 1, 2, …, n arises, for example, when sampling a randomization distribution and when tables of permutations are required for application to experimental design. An algorithm is described which minimizes the amount of randomization necessary to generate a random permutation, although in practice longer but simpler procedures are likely to be preferable. We discuss the probability distributions for the number…

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