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弯曲指数族的置信域：一般相对风险函数下的配对病例对照与生存研究AI 解读

Differential geometric methods are used to construct approximate confidence regions for curved exponential families. The $\alpha$-connection geometries discussed by Amari (1982), and another geometry introduced here, the $c$ geometry, are exploited to construct confidence regions. Survival and case-control studies with general relative risk functions are interpreted in the context of curved exponential families, and an example illustrates the construction of confidence…

得分检验的诊断统计量AI 解读

This article provides exact and approximate expressions for the change in the score test on deletion of observations. Deletions of individuals and of entire risk sets from matched case-control and survival studies are discussed in detail. A simple formula is derived, which measures the contribution of individual strata to score tests based on combining several contingency tables. The diagnostic is illustrated by application to the Stanford heart-transplant data.

This article provides exact and approximate expressions for the change in the score test on deletion of observations. Deletions of individuals and of entire risk sets from matched case-control and survival studies are discussed in detail. A simple formula is derived, which measures the contribution of individual strata to score tests based on combining several contingency tables. The diagnostic is illustrated by application to the Stanford heart-transplant data.

非线性回归诊断的几何方法及其在配对病例对照研究中的应用AI 解读

A geometric approach is described for the detection of influential points in nonlinear regression. This work extends and gives geometric interpretation to recent results in logistic regression diagnostics. An application of this approach to matched case-control studies is discussed.