论文检索

利用暴露概率信息推断暴露与疾病的关联AI 解读

Unconditional and conditional likelihood methods are proposed for modeling odds and odds ratios relating a binary disease variable and an exposure variable that is only known probabilistically (e.g., via measurement of a Surrogate exposure variable), while adjusting appropriately for a vector of covariables. Assuming nondifferential errors, a probabilistic structure is developed that permits analysis of the marginal relation between disease and the Surrogate while…

摘要暂缺

摘要暂缺

摘要暂缺

摘要暂缺

基于响应曲面均方误差估计新方法的实验设计考量AI 解读

The Kupper-Meydrech approach [6] to mean square error estimation of response surfaces is compared to the methodologies of Box and Draper [1] and Karson, Manson and Hader [5] when a straight line is fit to a possibly quadratic response. Main attention is given to the problems associated with the choice of experimental design. For mild restrictions on the parameter space, it is seen that the Kupper-Meydrech approach leads to the choice of a minimax design providing smaller…

响应曲面均方误差估计的新方法AI 解读

Box & Draper (1959, 1963) and others have considered the problem of choosing a design to minimize integrated mean squared error J when the true response x'1β1 + x'2 β2, a polynomial of degree d2 in p variables, is approximated by a polynomial x1 b1 of lower degree d1 where b1 is the vector β˚1 of usual least squares estimates. Here, the use of an estimator of the form b1 = Kβ^1, where K is a diagonal matrix of appropriately chosen constants, is advocated. The particular…

傅里叶级数与球谐回归的极小极大设计：可旋转点配置的刻画AI 解读

Summary In the framework of the approximate theory of the optimal design of experiments, Hoel (1965) represented minimax designs for Fourier series and spherical harmonics regressions of order r in terms of certain normalizing coefficients which are difficult to interpret. In this paper it is shown that these designs are intimately related to rotatable arrangements of points of order r in two and three dimensions, respectively. This result is used to construct exact minimax…

响应面均方误差估计的新方法AI 解读

Box & Draper (1959, 1963) and others have considered the problem of choosing a design to minimize integrated mean squared error J when the true response x'1β1 + x'2 β2, a polynomial of degree d2 in p variables, is approximated by a polynomial x1 b1 of lower degree d1 where b1 is the vector β˚1 of usual least squares estimates. Here, the use of an estimator of the form b1 = Kβ^1, where K is a diagonal matrix of appropriately chosen constants, is advocated. The particular…