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针对二行多列列联表有序备择的独立性检验AI 解读

A likelihood ratio statistic is derived for testing the hypothesis of independence in a 2 × C table against a class of ordered alternatives defined in terms of cross-product ratios. Asymptotic equivalence on the null hypothesis to a chi-squared—type statistic is established. The large-sample distribution of these statistics depends on the column totals, but numerical evidence for C = 3 and 4 suggests that the exact size of a test derived by ignoring this dependency will…

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使用似然比解释法庭科学证据AI 解读

Forensic scientists often have to interpret refractive index measurements made on fragments of window glass, some taken from the scene of a crime and some found on a suspect. Adopting a model used recently by Lindley (1977) and Seheult (1978) this contribution proposes a non-Bayesian solution based on a likelihood ratio. The problem of deciding whether the fragments have come from a common source is distinguished from the problem of deciding the guilt or innocence of the…

利用似然比解释法庭科学证据AI 解读

Forensic scientists often have to interpret refractive index measurements made on fragments of window glass, some taken from the scene of a crime and some found on a suspect. Adopting a model used recently by Lindley (1977) and Seheult (1978) this contribution proposes a non-Bayesian solution based on a likelihood ratio. The problem of deciding whether the fragments have come from a common source is distinguished from the problem of deciding the guilt or innocence of the…